|\^/| Maple 12 (IBM INTEL LINUX)
._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
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> #BEGIN OUTFILE1
> # Begin Function number 3
> check_sign := proc( x0 ,xf)
> local ret;
> if (xf > x0) then # if number 1
> ret := 1.0;
> else
> ret := -1.0;
> fi;# end if 1;
> ret;;
> end;
check_sign := proc(x0, xf)
local ret;
if x0 < xf then ret := 1.0 else ret := -1.0 end if; ret
end proc
> # End Function number 3
> # Begin Function number 4
> est_size_answer := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D2,
> array_const_0D3,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local min_size;
> min_size := glob_large_float;
> if (omniabs(array_y[1]) < min_size) then # if number 1
> min_size := omniabs(array_y[1]);
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> if (min_size < 1.0) then # if number 1
> min_size := 1.0;
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> min_size;
> end;
est_size_answer := proc()
local min_size;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D2, array_const_0D3, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_tmp5,
array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
min_size := glob_large_float;
if omniabs(array_y[1]) < min_size then
min_size := omniabs(array_y[1]);
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
if min_size < 1.0 then
min_size := 1.0;
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
min_size
end proc
> # End Function number 4
> # Begin Function number 5
> test_suggested_h := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D2,
> array_const_0D3,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms;
> max_value3 := 0.0;
> no_terms := glob_max_terms;
> hn_div_ho := 0.5;
> hn_div_ho_2 := 0.25;
> hn_div_ho_3 := 0.125;
> omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,"");
> omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,"");
> omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,"");
> value3 := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3);
> if (value3 > max_value3) then # if number 1
> max_value3 := value3;
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> fi;# end if 1;
> omniout_float(ALWAYS,"max_value3",32,max_value3,32,"");
> max_value3;
> end;
test_suggested_h := proc()
local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D2, array_const_0D3, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_tmp5,
array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
max_value3 := 0.;
no_terms := glob_max_terms;
hn_div_ho := 0.5;
hn_div_ho_2 := 0.25;
hn_div_ho_3 := 0.125;
omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, "");
omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, "");
omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, "");
value3 := omniabs(array_y[no_terms - 3]
+ array_y[no_terms - 2]*hn_div_ho
+ array_y[no_terms - 1]*hn_div_ho_2
+ array_y[no_terms]*hn_div_ho_3);
if max_value3 < value3 then
max_value3 := value3;
omniout_float(ALWAYS, "value3", 32, value3, 32, "")
end if;
omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, "");
max_value3
end proc
> # End Function number 5
> # Begin Function number 6
> reached_interval := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D2,
> array_const_0D3,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local ret;
> if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1
> ret := true;
> else
> ret := false;
> fi;# end if 1;
> return(ret);
> end;
reached_interval := proc()
local ret;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D2, array_const_0D3, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_tmp5,
array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then
ret := true
else ret := false
end if;
return ret
end proc
> # End Function number 6
> # Begin Function number 7
> display_alot := proc(iter)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D2,
> array_const_0D3,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (reached_interval()) then # if number 1
> if (iter >= 0) then # if number 2
> ind_var := array_x[1];
> omniout_float(ALWAYS,"x[1] ",33,ind_var,20," ");
> analytic_val_y := exact_soln_y(ind_var);
> omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y[term_no];
> abserr := omniabs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," ");
> if (omniabs(analytic_val_y) <> 0.0) then # if number 3
> relerr := abserr*100.0/omniabs(analytic_val_y);
> if (relerr <> 0.0) then # if number 4
> glob_good_digits := -trunc(log10(relerr)) + 2;
> else
> glob_good_digits := Digits;
> fi;# end if 4;
> else
> relerr := -1.0 ;
> glob_good_digits := -1;
> fi;# end if 3;
> if (glob_iter = 1) then # if number 3
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 3;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ")
> ;
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> fi;# end if 2;
> #BOTTOM DISPLAY ALOT
> fi;# end if 1;
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D2, array_const_0D3, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_tmp5,
array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if reached_interval() then
if 0 <= iter then
ind_var := array_x[1];
omniout_float(ALWAYS, "x[1] ", 33,
ind_var, 20, " ");
analytic_val_y := exact_soln_y(ind_var);
omniout_float(ALWAYS, "y[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y[term_no];
abserr := omniabs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y[1] (numeric) ", 33,
numeric_val, 20, " ");
if omniabs(analytic_val_y) <> 0. then
relerr := abserr*100.0/omniabs(analytic_val_y);
if relerr <> 0. then
glob_good_digits := -trunc(log10(relerr)) + 2
else glob_good_digits := Digits
end if
else relerr := -1.0; glob_good_digits := -1
end if;
if glob_iter = 1 then array_1st_rel_error[1] := relerr
else array_last_rel_error[1] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " ");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end if
end proc
> # End Function number 7
> # Begin Function number 8
> adjust_for_pole := proc(h_param)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D2,
> array_const_0D3,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 1
> tmp := omniabs(array_y_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1;
> if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1
> sz2 := array_pole[1]/10.0;
> if (sz2 < hnew) then # if number 2
> omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity.");
> omniout_str(INFO,"Reached Optimal");
> return(hnew);
> fi;# end if 2
> fi;# end if 1;
> if ( not glob_reached_optimal_h) then # if number 1
> glob_reached_optimal_h := true;
> glob_curr_iter_when_opt := glob_current_iter;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> glob_optimal_start := array_x[1];
> fi;# end if 1;
> hnew := sz2;
> ;#END block
> return(hnew);
> #BOTTOM ADJUST FOR POLE
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D2, array_const_0D3, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_tmp5,
array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < omniabs(array_y_higher[1, 1]) then
tmp := omniabs(array_y_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and
array_pole[1] <> glob_large_float then
sz2 := array_pole[1]/10.0;
if sz2 < hnew then
omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity.");
omniout_str(INFO, "Reached Optimal");
return hnew
end if
end if;
if not glob_reached_optimal_h then
glob_reached_optimal_h := true;
glob_curr_iter_when_opt := glob_current_iter;
glob_optimal_clock_start_sec := elapsed_time_seconds();
glob_optimal_start := array_x[1]
end if;
hnew := sz2;
return hnew
end proc
> # End Function number 8
> # Begin Function number 9
> prog_report := proc(x_start,x_end)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D2,
> array_const_0D3,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec;
> #TOP PROGRESS REPORT
> clock_sec1 := elapsed_time_seconds();
> total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
> glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
> left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1);
> expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec));
> opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec);
> glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec));
> glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
> percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h));
> glob_percent_done := percent_done;
> omniout_str_noeol(INFO,"Total Elapsed Time ");
> omniout_timestr(convfloat(total_clock_sec));
> omniout_str_noeol(INFO,"Elapsed Time(since restart) ");
> omniout_timestr(convfloat(glob_clock_sec));
> if (convfloat(percent_done) < convfloat(100.0)) then # if number 1
> omniout_str_noeol(INFO,"Expected Time Remaining ");
> omniout_timestr(convfloat(expect_sec));
> omniout_str_noeol(INFO,"Optimized Time Remaining ");
> omniout_timestr(convfloat(glob_optimal_expect_sec));
> omniout_str_noeol(INFO,"Expected Total Time ");
> omniout_timestr(convfloat(glob_total_exp_sec));
> fi;# end if 1;
> omniout_str_noeol(INFO,"Time to Timeout ");
> omniout_timestr(convfloat(left_sec));
> omniout_float(INFO, "Percent Done ",33,percent_done,4,"%");
> #BOTTOM PROGRESS REPORT
> end;
prog_report := proc(x_start, x_end)
local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec,
percent_done, total_clock_sec;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D2, array_const_0D3, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_tmp5,
array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
clock_sec1 := elapsed_time_seconds();
total_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
glob_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec)
- convfloat(clock_sec1);
expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h),
convfloat(clock_sec1) - convfloat(glob_orig_start_sec));
opt_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec);
glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),
convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h),
convfloat(opt_clock_sec));
glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
percent_done := comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h));
glob_percent_done := percent_done;
omniout_str_noeol(INFO, "Total Elapsed Time ");
omniout_timestr(convfloat(total_clock_sec));
omniout_str_noeol(INFO, "Elapsed Time(since restart) ");
omniout_timestr(convfloat(glob_clock_sec));
if convfloat(percent_done) < convfloat(100.0) then
omniout_str_noeol(INFO, "Expected Time Remaining ");
omniout_timestr(convfloat(expect_sec));
omniout_str_noeol(INFO, "Optimized Time Remaining ");
omniout_timestr(convfloat(glob_optimal_expect_sec));
omniout_str_noeol(INFO, "Expected Total Time ");
omniout_timestr(convfloat(glob_total_exp_sec))
end if;
omniout_str_noeol(INFO, "Time to Timeout ");
omniout_timestr(convfloat(left_sec));
omniout_float(INFO, "Percent Done ", 33,
percent_done, 4, "%")
end proc
> # End Function number 9
> # Begin Function number 10
> check_for_pole := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D2,
> array_const_0D3,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found, h_new, ratio, term;
> #TOP CHECK FOR POLE
> #IN RADII REAL EQ = 1
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1
> #Applies to pole of arbitrary r_order on the real axis,
> #Due to Prof. George Corliss.
> n := glob_max_terms;
> m := n - 1 - 1;
> while ((m >= 10) and ((omniabs(array_y_higher[1,m]) < glob_small_float) or (omniabs(array_y_higher[1,m-1]) < glob_small_float) or (omniabs(array_y_higher[1,m-2]) < glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2;
> if (m > 10) then # if number 1
> rm0 := array_y_higher[1,m]/array_y_higher[1,m-1];
> rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2];
> hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1;
> if (omniabs(hdrc) > glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0;
> array_real_pole[1,1] := rcs;
> array_real_pole[1,2] := ord_no;
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 1;
> #BOTTOM RADII REAL EQ = 1
> #TOP RADII COMPLEX EQ = 1
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 1 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (omniabs(array_y_higher[1,n]) > glob_small_float) then # if number 1
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 1;
> n := n - 1;
> od;# end do number 2;
> m := n + cnt;
> if (m <= 10) then # if number 1
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> elif
> ((omniabs(array_y_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-5]) >= (glob_large_float))) then # if number 2
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> else
> rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]);
> rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]);
> rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]);
> rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]);
> rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(dr1) <= glob_small_float)) then # if number 3
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> else
> if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4
> rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
> #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
> ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0;
> if (omniabs(rcs) > glob_small_float) then # if number 5
> if (rcs > 0.0) then # if number 6
> rad_c := sqrt(rcs) * omniabs(glob_h);
> else
> rad_c := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 4
> fi;# end if 3;
> array_complex_pole[1,1] := rad_c;
> array_complex_pole[1,2] := ord_no;
> fi;# end if 2;
> #BOTTOM RADII COMPLEX EQ = 1
> found := false;
> #TOP WHICH RADII EQ = 1
> if ( not found and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> found := true;
> array_type_pole[1] := 2;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0)))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float)))) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> found := true;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> array_type_pole[1] := 2;
> found := true;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found ) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3;
> fi;# end if 2;
> #BOTTOM WHICH RADII EQ = 1
> array_pole[1] := glob_large_float;
> array_pole[2] := glob_large_float;
> #TOP WHICH RADIUS EQ = 1
> if (array_pole[1] > array_poles[1,1]) then # if number 2
> array_pole[1] := array_poles[1,1];
> array_pole[2] := array_poles[1,2];
> fi;# end if 2;
> #BOTTOM WHICH RADIUS EQ = 1
> #START ADJUST ALL SERIES
> if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 2
> h_new := array_pole[1] * glob_ratio_of_radius;
> term := 1;
> ratio := 1.0;
> while (term <= glob_max_terms) do # do number 2
> array_y[term] := array_y[term]* ratio;
> array_y_higher[1,term] := array_y_higher[1,term]* ratio;
> array_x[term] := array_x[term]* ratio;
> ratio := ratio * h_new / omniabs(glob_h);
> term := term + 1;
> od;# end do number 2;
> glob_h := h_new;
> fi;# end if 2;
> #BOTTOM ADJUST ALL SERIES
> if (reached_interval()) then # if number 2
> display_pole();
> fi;# end if 2
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs,
rm0, rm1, rm2, rm3, rm4, found, h_new, ratio, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D2, array_const_0D3, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_tmp5,
array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (omniabs(array_y_higher[1, m]) < glob_small_float or
omniabs(array_y_higher[1, m - 1]) < glob_small_float or
omniabs(array_y_higher[1, m - 2]) < glob_small_float) do m := m - 1
end do;
if 10 < m then
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1;
if glob_small_float < omniabs(hdrc) then
rcs := glob_h/hdrc;
ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0;
array_real_pole[1, 1] := rcs;
array_real_pole[1, 2] := ord_no
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < omniabs(array_y_higher[1, n]) then
cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
elif glob_large_float <= omniabs(array_y_higher[1, m]) or
glob_large_float <= omniabs(array_y_higher[1, m - 1]) or
glob_large_float <= omniabs(array_y_higher[1, m - 2]) or
glob_large_float <= omniabs(array_y_higher[1, m - 3]) or
glob_large_float <= omniabs(array_y_higher[1, m - 4]) or
glob_large_float <= omniabs(array_y_higher[1, m - 5]) then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
else
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3];
rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4];
rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or
omniabs(dr1) <= glob_small_float then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
else
if glob_small_float < omniabs(nr1*dr2 - nr2*dr1) then
rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1);
ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0;
if glob_small_float < omniabs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*omniabs(glob_h)
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_pole[1, 1] := rad_c;
array_complex_pole[1, 2] := ord_no
end if;
found := false;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and
array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
found := true;
array_type_pole[1] := 2;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if
end if;
if not found and array_real_pole[1, 1] <> glob_large_float and
array_real_pole[1, 2] <> glob_large_float and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float or
array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if
end if;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float) then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
found := true;
array_type_pole[1] := 3;
if reached_interval() then omniout_str(ALWAYS, "NO POLE") end if
end if;
if not found and array_real_pole[1, 1] < array_complex_pole[1, 1] and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if
end if;
if not found and array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
array_type_pole[1] := 2;
found := true;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if
end if;
if not found then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
array_type_pole[1] := 3;
if reached_interval() then omniout_str(ALWAYS, "NO POLE") end if
end if;
array_pole[1] := glob_large_float;
array_pole[2] := glob_large_float;
if array_poles[1, 1] < array_pole[1] then
array_pole[1] := array_poles[1, 1];
array_pole[2] := array_poles[1, 2]
end if;
if array_pole[1]*glob_ratio_of_radius < omniabs(glob_h) then
h_new := array_pole[1]*glob_ratio_of_radius;
term := 1;
ratio := 1.0;
while term <= glob_max_terms do
array_y[term] := array_y[term]*ratio;
array_y_higher[1, term] := array_y_higher[1, term]*ratio;
array_x[term] := array_x[term]*ratio;
ratio := ratio*h_new/omniabs(glob_h);
term := term + 1
end do;
glob_h := h_new
end if;
if reached_interval() then display_pole() end if
end proc
> # End Function number 10
> # Begin Function number 11
> get_norms := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D2,
> array_const_0D3,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local iii;
> if ( not glob_initial_pass) then # if number 2
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> array_norms[iii] := 0.0;
> iii := iii + 1;
> od;# end do number 2;
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 3
> array_norms[iii] := omniabs(array_y[iii]);
> fi;# end if 3;
> iii := iii + 1;
> od;# end do number 2
> #BOTTOM GET NORMS
> ;
> fi;# end if 2;
> end;
get_norms := proc()
local iii;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D2, array_const_0D3, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_tmp5,
array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if not glob_initial_pass then
iii := 1;
while iii <= glob_max_terms do
array_norms[iii] := 0.; iii := iii + 1
end do;
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < omniabs(array_y[iii]) then
array_norms[iii] := omniabs(array_y[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # End Function number 11
> # Begin Function number 12
> atomall := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D2,
> array_const_0D3,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local kkk, order_d, adj2, adj3 , temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 1
> array_tmp1[1] := array_const_0D2[1] * array_x[1];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 1
> array_tmp2[1] := array_tmp1[1] + array_const_0D3[1];
> #emit pre sin 1 $eq_no = 1
> array_tmp3[1] := sin(array_x[1]);
> array_tmp3_g[1] := cos(array_x[1]);
> #emit pre mult LINEAR - FULL $eq_no = 1 i = 1
> array_tmp4[1] := array_tmp2[1] * array_tmp3[1];
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp5[1] := array_const_0D0[1] + array_tmp4[1];
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if ( not array_y_set_initial[1,2]) then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp5[1] * expt(glob_h , (1)) * factorial_3(0,1);
> array_y[2] := temporary;
> array_y_higher[1,2] := temporary;
> temporary := temporary / glob_h;
> array_y_higher[2,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 2
> array_tmp1[2] := array_const_0D2[1] * array_x[2];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2];
> #emit pre sin ID_LINEAR iii = 2 $eq_no = 1
> array_tmp3[2] := array_tmp3_g[1] * array_x[2] / 1;
> array_tmp3_g[2] := -array_tmp3[1] * array_x[2] / 1;
> #emit pre mult LINEAR FULL $eq_no = 1 i = 2
> array_tmp4[2] := array_tmp3[1] * array_tmp2[2] + array_tmp3[2] * array_tmp2[1];
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp5[2] := array_tmp4[2];
> #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if ( not array_y_set_initial[1,3]) then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp5[2] * expt(glob_h , (1)) * factorial_3(1,2);
> array_y[3] := temporary;
> array_y_higher[1,3] := temporary;
> temporary := temporary / glob_h;
> array_y_higher[2,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> #emit pre sin ID_LINEAR iii = 3 $eq_no = 1
> array_tmp3[3] := array_tmp3_g[2] * array_x[2] / 2;
> array_tmp3_g[3] := -array_tmp3[2] * array_x[2] / 2;
> #emit pre mult LINEAR FULL $eq_no = 1 i = 3
> array_tmp4[3] := array_tmp3[2] * array_tmp2[2] + array_tmp3[3] * array_tmp2[1];
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp5[3] := array_tmp4[3];
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if ( not array_y_set_initial[1,4]) then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp5[3] * expt(glob_h , (1)) * factorial_3(2,3);
> array_y[4] := temporary;
> array_y_higher[1,4] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> #emit pre sin ID_LINEAR iii = 4 $eq_no = 1
> array_tmp3[4] := array_tmp3_g[3] * array_x[2] / 3;
> array_tmp3_g[4] := -array_tmp3[3] * array_x[2] / 3;
> #emit pre mult LINEAR FULL $eq_no = 1 i = 4
> array_tmp4[4] := array_tmp3[3] * array_tmp2[2] + array_tmp3[4] * array_tmp2[1];
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp5[4] := array_tmp4[4];
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if ( not array_y_set_initial[1,5]) then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp5[4] * expt(glob_h , (1)) * factorial_3(3,4);
> array_y[5] := temporary;
> array_y_higher[1,5] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y_higher[2,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> #emit pre sin ID_LINEAR iii = 5 $eq_no = 1
> array_tmp3[5] := array_tmp3_g[4] * array_x[2] / 4;
> array_tmp3_g[5] := -array_tmp3[4] * array_x[2] / 4;
> #emit pre mult LINEAR FULL $eq_no = 1 i = 5
> array_tmp4[5] := array_tmp3[4] * array_tmp2[2] + array_tmp3[5] * array_tmp2[1];
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp5[5] := array_tmp4[5];
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if ( not array_y_set_initial[1,6]) then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp5[5] * expt(glob_h , (1)) * factorial_3(4,5);
> array_y[6] := temporary;
> array_y_higher[1,6] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y_higher[2,5] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 6;
> #END ATOMHDR5
> #BEGIN OUTFILE3
> #Top Atomall While Loop-- outfile3
> while (kkk <= glob_max_terms) do # do number 1
> #END OUTFILE3
> #BEGIN OUTFILE4
> #emit sin LINEAR $eq_no = 1
> array_tmp3[kkk] := array_tmp3_g[kkk - 1] * array_x[2] / (kkk - 1);
> array_tmp3_g[kkk] := -array_tmp3[kkk - 1] * array_x[2] / (kkk - 1);
> #emit mult LINEAR FULL $eq_no = 1 i = 1
> array_tmp4[kkk] := array_tmp3[kkk-1] * array_tmp2[2] + array_tmp3[kkk] * array_tmp2[1];
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp5[kkk] := array_tmp4[kkk];
> #emit assign $eq_no = 1
> order_d := 1;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2
> temporary := array_tmp5[kkk] * expt(glob_h , (order_d)) / factorial_3((kkk - 1),(kkk + order_d - 1));
> array_y[kkk + order_d] := temporary;
> array_y_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := kkk + order_d - 2;
> adj3 := 2;
> while (term >= 1) do # do number 2
> if (adj3 <= order_d + 1) then # if number 3
> if (adj2 > 1) then # if number 4
> temporary := temporary / glob_h * convfp(adj2);
> else
> temporary := temporary / glob_h;
> fi;# end if 4;
> array_y_higher[adj3,term] := temporary;
> fi;# end if 3;
> term := term - 1;
> adj2 := adj2 - 1;
> adj3 := adj3 + 1;
> od;# end do number 2
> fi;# end if 2
> fi;# end if 1;
> kkk := kkk + 1;
> od;# end do number 1;
> #BOTTOM ATOMALL
> #END OUTFILE4
> #BEGIN OUTFILE5
> #BOTTOM ATOMALL ???
> end;
atomall := proc()
local kkk, order_d, adj2, adj3, temporary, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D2, array_const_0D3, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_tmp5,
array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
array_tmp1[1] := array_const_0D2[1]*array_x[1];
array_tmp2[1] := array_tmp1[1] + array_const_0D3[1];
array_tmp3[1] := sin(array_x[1]);
array_tmp3_g[1] := cos(array_x[1]);
array_tmp4[1] := array_tmp2[1]*array_tmp3[1];
array_tmp5[1] := array_const_0D0[1] + array_tmp4[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp5[1]*expt(glob_h, 1)*factorial_3(0, 1);
array_y[2] := temporary;
array_y_higher[1, 2] := temporary;
temporary := temporary/glob_h;
array_y_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := array_const_0D2[1]*array_x[2];
array_tmp2[2] := array_tmp1[2];
array_tmp3[2] := array_tmp3_g[1]*array_x[2];
array_tmp3_g[2] := -array_tmp3[1]*array_x[2];
array_tmp4[2] :=
array_tmp3[1]*array_tmp2[2] + array_tmp3[2]*array_tmp2[1];
array_tmp5[2] := array_tmp4[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp5[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_y[3] := temporary;
array_y_higher[1, 3] := temporary;
temporary := temporary/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp3[3] := 1/2*array_tmp3_g[2]*array_x[2];
array_tmp3_g[3] := -1/2*array_tmp3[2]*array_x[2];
array_tmp4[3] :=
array_tmp3[2]*array_tmp2[2] + array_tmp3[3]*array_tmp2[1];
array_tmp5[3] := array_tmp4[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp5[3]*expt(glob_h, 1)*factorial_3(2, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp3[4] := 1/3*array_tmp3_g[3]*array_x[2];
array_tmp3_g[4] := -1/3*array_tmp3[3]*array_x[2];
array_tmp4[4] :=
array_tmp3[3]*array_tmp2[2] + array_tmp3[4]*array_tmp2[1];
array_tmp5[4] := array_tmp4[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp5[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*3.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp3[5] := 1/4*array_tmp3_g[4]*array_x[2];
array_tmp3_g[5] := -1/4*array_tmp3[4]*array_x[2];
array_tmp4[5] :=
array_tmp3[4]*array_tmp2[2] + array_tmp3[5]*array_tmp2[1];
array_tmp5[5] := array_tmp4[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp5[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*4.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp3[kkk] := array_tmp3_g[kkk - 1]*array_x[2]/(kkk - 1);
array_tmp3_g[kkk] := -array_tmp3[kkk - 1]*array_x[2]/(kkk - 1);
array_tmp4[kkk] := array_tmp3[kkk - 1]*array_tmp2[2]
+ array_tmp3[kkk]*array_tmp2[1];
array_tmp5[kkk] := array_tmp4[kkk];
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y_set_initial[1, kkk + order_d] then
temporary := array_tmp5[kkk]*expt(glob_h, order_d)/
factorial_3(kkk - 1, kkk + order_d - 1);
array_y[kkk + order_d] := temporary;
array_y_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := kkk + order_d - 2;
adj3 := 2;
while 1 <= term do
if adj3 <= order_d + 1 then
if 1 < adj2 then
temporary := temporary*convfp(adj2)/glob_h
else temporary := temporary/glob_h
end if;
array_y_higher[adj3, term] := temporary
end if;
term := term - 1;
adj2 := adj2 - 1;
adj3 := adj3 + 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> # End Function number 12
> #BEGIN ATS LIBRARY BLOCK
> # Begin Function number 2
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s\n",str);
> fi;# end if 1;
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s\n", str) end if
end proc
> # End Function number 2
> # Begin Function number 3
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s",str);
> fi;# end if 1;
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> # End Function number 3
> # Begin Function number 4
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> print(label,str);
> fi;# end if 1;
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> # End Function number 4
> # Begin Function number 5
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> if vallen = 4 then
> printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel);
> else
> printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 4 then
printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel)
else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 5
> # Begin Function number 6
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> if vallen = 5 then # if number 1
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 5 then
printf("%-30s = %-32d %s\n", prelabel, value, postlabel)
else printf("%-30s = %-32d %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 6
> # Begin Function number 7
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;# end if 0;
> end;
omniout_float_arr := proc(
iolevel, prelabel, elemnt, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
print(prelabel, "[", elemnt, "]", value, postlabel)
end if
end proc
> # End Function number 7
> # Begin Function number 8
> dump_series := proc(iolevel,dump_label,series_name,arr_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then # if number 0
> i := 1;
> while (i <= numb) do # do number 1
> print(dump_label,series_name
> ,i,arr_series[i]);
> i := i + 1;
> od;# end do number 1
> fi;# end if 0
> end;
dump_series := proc(iolevel, dump_label, series_name, arr_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, arr_series[i]); i := i + 1
end do
end if
end proc
> # End Function number 8
> # Begin Function number 9
> dump_series_2 := proc(iolevel,dump_label,series_name2,arr_series2,numb,subnum,arr_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then # if number 0
> sub := 1;
> while (sub <= subnum) do # do number 1
> i := 1;
> while (i <= numb) do # do number 2
> print(dump_label,series_name2,sub,i,arr_series2[sub,i]);
> od;# end do number 2;
> sub := sub + 1;
> od;# end do number 1;
> fi;# end if 0;
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x)
local i, sub, ts_term;
global glob_iolevel;
if iolevel <= glob_iolevel then
sub := 1;
while sub <= subnum do
i := 1;
while i <= numb do print(dump_label, series_name2, sub, i,
arr_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> # End Function number 9
> # Begin Function number 10
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= iolevel) then # if number 0
> print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h)
> fi;# end if 0;
> end;
cs_info := proc(iolevel, str)
global
glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h;
if iolevel <= glob_iolevel then print("cs_info ", str,
" glob_correct_start_flag = ", glob_correct_start_flag,
"glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h)
end if
end proc
> # End Function number 10
> # Begin Function number 11
> logitem_time := proc(fd,secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> fprintf(fd,"
");
> if (secs_in >= 0) then # if number 0
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 1
> fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 2
> fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 3
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 4
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 4
> else
> fprintf(fd," Unknown");
> fi;# end if 3
> fprintf(fd," | \n");
> end;
logitem_time := proc(fd, secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
fprintf(fd, "");
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then fprintf(fd,
"%d Years %d Days %d Hours %d Minutes %d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then fprintf(fd,
"%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int,
minutes_int, sec_int)
elif 0 < hours_int then fprintf(fd,
"%d Hours %d Minutes %d Seconds", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int)
else fprintf(fd, "%d Seconds", sec_int)
end if
else fprintf(fd, " Unknown")
end if;
fprintf(fd, " | \n")
end proc
> # End Function number 11
> # Begin Function number 12
> omniout_timestr := proc(secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> if (secs_in >= 0) then # if number 3
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 4
> printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 5
> printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 6
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 7
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 7
> else
> printf(" Unknown\n");
> fi;# end if 6
> end;
omniout_timestr := proc(secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then printf(
" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",
years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then printf(
" = %d Days %d Hours %d Minutes %d Seconds\n", days_int,
hours_int, minutes_int, sec_int)
elif 0 < hours_int then printf(
" = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int)
else printf(" = %d Seconds\n", sec_int)
end if
else printf(" Unknown\n")
end if
end proc
> # End Function number 12
> # Begin Function number 13
> ats := proc(mmm_ats,arr_a,arr_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 6
> ma_ats := mmm_ats + 1;
> iii_ats := jjj_ats;
> while (iii_ats <= mmm_ats) do # do number 1
> lll_ats := ma_ats - iii_ats;
> ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 6;
> ret_ats;
> end;
ats := proc(mmm_ats, arr_a, arr_b, jjj_ats)
local iii_ats, lll_ats, ma_ats, ret_ats;
ret_ats := 0.;
if jjj_ats <= mmm_ats then
ma_ats := mmm_ats + 1;
iii_ats := jjj_ats;
while iii_ats <= mmm_ats do
lll_ats := ma_ats - iii_ats;
ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
> # End Function number 13
> # Begin Function number 14
> att := proc(mmm_att,arr_aa,arr_bb,jjj_att)
> global glob_max_terms;
> local al_att, iii_att,lll_att, ma_att, ret_att;
> ret_att := 0.0;
> if (jjj_att <= mmm_att) then # if number 6
> ma_att := mmm_att + 2;
> iii_att := jjj_att;
> while (iii_att <= mmm_att) do # do number 1
> lll_att := ma_att - iii_att;
> al_att := (lll_att - 1);
> if (lll_att <= glob_max_terms) then # if number 7
> ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]* convfp(al_att);
> fi;# end if 7;
> iii_att := iii_att + 1;
> od;# end do number 1;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 6;
> ret_att;
> end;
att := proc(mmm_att, arr_aa, arr_bb, jjj_att)
local al_att, iii_att, lll_att, ma_att, ret_att;
global glob_max_terms;
ret_att := 0.;
if jjj_att <= mmm_att then
ma_att := mmm_att + 2;
iii_att := jjj_att;
while iii_att <= mmm_att do
lll_att := ma_att - iii_att;
al_att := lll_att - 1;
if lll_att <= glob_max_terms then ret_att :=
ret_att + arr_aa[iii_att]*arr_bb[lll_att]*convfp(al_att)
end if;
iii_att := iii_att + 1
end do;
ret_att := ret_att/convfp(mmm_att)
end if;
ret_att
end proc
> # End Function number 14
> # Begin Function number 15
> display_pole := proc()
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 6
> omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," ");
> omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," ");
> fi;# end if 6
> end;
display_pole := proc()
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if array_pole[1] <> glob_large_float and 0. < array_pole[1] and
array_pole[2] <> glob_large_float and 0. < array_pole[2] and
glob_display_flag then
omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole[1], 4, " ");
omniout_float(ALWAYS, "Order of pole ", 4,
array_pole[2], 4, " ")
end if
end proc
> # End Function number 15
> # Begin Function number 16
> logditto := proc(file)
> fprintf(file,"");
> fprintf(file,"ditto");
> fprintf(file," | ");
> end;
logditto := proc(file)
fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, " | ")
end proc
> # End Function number 16
> # Begin Function number 17
> logitem_integer := proc(file,n)
> fprintf(file,"");
> fprintf(file,"%d",n);
> fprintf(file," | ");
> end;
logitem_integer := proc(file, n)
fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, " | ")
end proc
> # End Function number 17
> # Begin Function number 18
> logitem_str := proc(file,str)
> fprintf(file,"");
> fprintf(file,str);
> fprintf(file," | ");
> end;
logitem_str := proc(file, str)
fprintf(file, ""); fprintf(file, str); fprintf(file, " | ")
end proc
> # End Function number 18
> # Begin Function number 19
> logitem_good_digits := proc(file,rel_error)
> global glob_small_float;
> local good_digits;
> fprintf(file,"");
> if (rel_error <> -1.0) then # if number 6
> if (rel_error <> 0.0) then # if number 7
> good_digits := 1-trunc(log10(rel_error));
> fprintf(file,"%d",good_digits);
> else
> good_digits := Digits;
> fprintf(file,"%d",good_digits);
> fi;# end if 7;
> else
> fprintf(file,"Unknown");
> fi;# end if 6;
> fprintf(file," | ");
> end;
logitem_good_digits := proc(file, rel_error)
local good_digits;
global glob_small_float;
fprintf(file, "");
if rel_error <> -1.0 then
if rel_error <> 0. then
good_digits := 1 - trunc(log10(rel_error));
fprintf(file, "%d", good_digits)
else good_digits := Digits; fprintf(file, "%d", good_digits)
end if
else fprintf(file, "Unknown")
end if;
fprintf(file, " | ")
end proc
> # End Function number 19
> # Begin Function number 20
> log_revs := proc(file,revs)
> fprintf(file,revs);
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # End Function number 20
> # Begin Function number 21
> logitem_float := proc(file,x)
> fprintf(file,"");
> fprintf(file,"%g",x);
> fprintf(file," | ");
> end;
logitem_float := proc(file, x)
fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, " | ")
end proc
> # End Function number 21
> # Begin Function number 22
> logitem_pole := proc(file,pole)
> fprintf(file,"");
> if (pole = 0) then # if number 6
> fprintf(file,"NA");
> elif
> (pole = 1) then # if number 7
> fprintf(file,"Real");
> elif
> (pole = 2) then # if number 8
> fprintf(file,"Complex");
> else
> fprintf(file,"No Pole");
> fi;# end if 8
> fprintf(file," | ");
> end;
logitem_pole := proc(file, pole)
fprintf(file, "");
if pole = 0 then fprintf(file, "NA")
elif pole = 1 then fprintf(file, "Real")
elif pole = 2 then fprintf(file, "Complex")
else fprintf(file, "No Pole")
end if;
fprintf(file, " | ")
end proc
> # End Function number 22
> # Begin Function number 23
> logstart := proc(file)
> fprintf(file,"");
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # End Function number 23
> # Begin Function number 24
> logend := proc(file)
> fprintf(file,"
\n");
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # End Function number 24
> # Begin Function number 25
> chk_data := proc()
> global glob_max_iter,ALWAYS, glob_max_terms;
> local errflag;
> errflag := false;
> if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 8
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 8;
> if (glob_max_iter < 2) then # if number 8
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 8;
> if (errflag) then # if number 8
> quit;
> fi;# end if 8
> end;
chk_data := proc()
local errflag;
global glob_max_iter, ALWAYS, glob_max_terms;
errflag := false;
if glob_max_terms < 15 or 512 < glob_max_terms then
omniout_str(ALWAYS, "Illegal max_terms = -- Using 30");
glob_max_terms := 30
end if;
if glob_max_iter < 2 then
omniout_str(ALWAYS, "Illegal max_iter"); errflag := true
end if;
if errflag then quit end if
end proc
> # End Function number 25
> # Begin Function number 26
> comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2)
> global glob_small_float;
> local ms2, rrr, sec_left, sub1, sub2;
> ;
> ms2 := clock_sec2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub1 = 0.0) then # if number 8
> sec_left := 0.0;
> else
> if (sub2 > 0.0) then # if number 9
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 9
> fi;# end if 8;
> sec_left;
> end;
comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2)
local ms2, rrr, sec_left, sub1, sub2;
global glob_small_float;
ms2 := clock_sec2;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if sub1 = 0. then sec_left := 0.
else
if 0. < sub2 then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2
else sec_left := 0.
end if
end if;
sec_left
end proc
> # End Function number 26
> # Begin Function number 27
> comp_percent := proc(t_end2,t_start2, t2)
> global glob_small_float;
> local rrr, sub1, sub2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub2 > glob_small_float) then # if number 8
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 8;
> rrr;
> end;
comp_percent := proc(t_end2, t_start2, t2)
local rrr, sub1, sub2;
global glob_small_float;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if glob_small_float < sub2 then rrr := 100.0*sub2/sub1
else rrr := 0.
end if;
rrr
end proc
> # End Function number 27
> # Begin Function number 28
> factorial_2 := proc(nnn)
> nnn!;
> end;
factorial_2 := proc(nnn) nnn! end proc
> # End Function number 28
> # Begin Function number 29
> factorial_1 := proc(nnn)
> global glob_max_terms,array_fact_1;
> local ret;
> if (nnn <= glob_max_terms) then # if number 8
> if (array_fact_1[nnn] = 0) then # if number 9
> ret := factorial_2(nnn);
> array_fact_1[nnn] := ret;
> else
> ret := array_fact_1[nnn];
> fi;# end if 9;
> else
> ret := factorial_2(nnn);
> fi;# end if 8;
> ret;
> end;
factorial_1 := proc(nnn)
local ret;
global glob_max_terms, array_fact_1;
if nnn <= glob_max_terms then
if array_fact_1[nnn] = 0 then
ret := factorial_2(nnn); array_fact_1[nnn] := ret
else ret := array_fact_1[nnn]
end if
else ret := factorial_2(nnn)
end if;
ret
end proc
> # End Function number 29
> # Begin Function number 30
> factorial_3 := proc(mmm,nnn)
> global glob_max_terms,array_fact_2;
> local ret;
> if ((nnn <= glob_max_terms) and (mmm <= glob_max_terms)) then # if number 8
> if (array_fact_2[mmm,nnn] = 0) then # if number 9
> ret := factorial_1(mmm)/factorial_1(nnn);
> array_fact_2[mmm,nnn] := ret;
> else
> ret := array_fact_2[mmm,nnn];
> fi;# end if 9;
> else
> ret := factorial_2(mmm)/factorial_2(nnn);
> fi;# end if 8;
> ret;
> end;
factorial_3 := proc(mmm, nnn)
local ret;
global glob_max_terms, array_fact_2;
if nnn <= glob_max_terms and mmm <= glob_max_terms then
if array_fact_2[mmm, nnn] = 0 then
ret := factorial_1(mmm)/factorial_1(nnn);
array_fact_2[mmm, nnn] := ret
else ret := array_fact_2[mmm, nnn]
end if
else ret := factorial_2(mmm)/factorial_2(nnn)
end if;
ret
end proc
> # End Function number 30
> # Begin Function number 31
> convfp := proc(mmm)
> (mmm);
> end;
convfp := proc(mmm) mmm end proc
> # End Function number 31
> # Begin Function number 32
> convfloat := proc(mmm)
> (mmm);
> end;
convfloat := proc(mmm) mmm end proc
> # End Function number 32
> # Begin Function number 33
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
> # End Function number 33
> # Begin Function number 34
> omniabs := proc(x)
> abs(x);
> end;
omniabs := proc(x) abs(x) end proc
> # End Function number 34
> # Begin Function number 35
> expt := proc(x,y)
> (x^y);
> end;
expt := proc(x, y) x^y end proc
> # End Function number 35
> # Begin Function number 36
> estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer)
> local desired_abs_gbl_error,range,estimated_steps,step_error;
> global glob_desired_digits_correct,ALWAYS;
> omniout_float(ALWAYS,"glob_desired_digits_correct",32,glob_desired_digits_correct,32,"");
> desired_abs_gbl_error := expt(10.0,- glob_desired_digits_correct) * omniabs(estimated_answer);
> omniout_float(ALWAYS,"desired_abs_gbl_error",32,desired_abs_gbl_error,32,"");
> range := (x_end - x_start);
> omniout_float(ALWAYS,"range",32,range,32,"");
> estimated_steps := range / estimated_h;
> omniout_float(ALWAYS,"estimated_steps",32,estimated_steps,32,"");
> step_error := omniabs(desired_abs_gbl_error / estimated_steps);
> omniout_float(ALWAYS,"step_error",32,step_error,32,"");
> (step_error);;
> end;
estimated_needed_step_error := proc(
x_start, x_end, estimated_h, estimated_answer)
local desired_abs_gbl_error, range, estimated_steps, step_error;
global glob_desired_digits_correct, ALWAYS;
omniout_float(ALWAYS, "glob_desired_digits_correct", 32,
glob_desired_digits_correct, 32, "");
desired_abs_gbl_error :=
expt(10.0, -glob_desired_digits_correct)*omniabs(estimated_answer);
omniout_float(ALWAYS, "desired_abs_gbl_error", 32,
desired_abs_gbl_error, 32, "");
range := x_end - x_start;
omniout_float(ALWAYS, "range", 32, range, 32, "");
estimated_steps := range/estimated_h;
omniout_float(ALWAYS, "estimated_steps", 32, estimated_steps, 32, "");
step_error := omniabs(desired_abs_gbl_error/estimated_steps);
omniout_float(ALWAYS, "step_error", 32, step_error, 32, "");
step_error
end proc
> # End Function number 36
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y := proc(x)
> return(0.2 * sin(x) - 0.2 * cos(x) * x - 0.3 * cos(x));
> end;
exact_soln_y := proc(x) return 0.2*sin(x) - 0.2*cos(x)*x - 0.3*cos(x) end proc
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> main := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,iiif,jjjf,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, log10norm, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h;
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D2,
> array_const_0D3,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> glob_max_terms := 30;
> glob_iolevel := 5;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> MAX_UNCHANGED := 10;
> glob_check_sign := 1.0;
> glob_desired_digits_correct := 8.0;
> glob_max_value3 := 0.0;
> glob_ratio_of_radius := 0.01;
> glob_percent_done := 0.0;
> glob_subiter_method := 3;
> glob_log10normmin := 0.1;
> glob_total_exp_sec := 0.1;
> glob_optimal_expect_sec := 0.1;
> glob_html_log := true;
> glob_good_digits := 0;
> glob_max_opt_iter := 10;
> glob_dump := false;
> glob_djd_debug := true;
> glob_display_flag := true;
> glob_djd_debug2 := true;
> glob_sec_in_minute := 60;
> glob_min_in_hour := 60;
> glob_hours_in_day := 24;
> glob_days_in_year := 365;
> glob_sec_in_hour := 3600;
> glob_sec_in_day := 86400;
> glob_sec_in_year := 31536000;
> glob_almost_1 := 0.9990;
> glob_clock_sec := 0.0;
> glob_clock_start_sec := 0.0;
> glob_not_yet_finished := true;
> glob_initial_pass := true;
> glob_not_yet_start_msg := true;
> glob_reached_optimal_h := false;
> glob_optimal_done := false;
> glob_disp_incr := 0.1;
> glob_h := 0.1;
> glob_hmax := 1.0;
> glob_hmin := 0.00000000001;
> glob_hmin_init := 0.001;
> glob_large_float := 9.0e100;
> glob_last_good_h := 0.1;
> glob_look_poles := false;
> glob_neg_h := false;
> glob_display_interval := 0.0;
> glob_next_display := 0.0;
> glob_dump_analytic := false;
> glob_log10_abserr := 0.1e-10;
> glob_log10_relerr := 0.1e-10;
> glob_abserr := 0.1e-10;
> glob_relerr := 0.1e-10;
> glob_max_hours := 0.0;
> glob_max_iter := 1000;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_max_trunc_err := 0.1e-10;
> glob_no_eqs := 0;
> glob_optimal_clock_start_sec := 0.0;
> glob_optimal_start := 0.0;
> glob_small_float := 0.1e-50;
> glob_smallish_float := 0.1e-100;
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_max_sec := 10000.0;
> glob_orig_start_sec := 0.0;
> glob_start := 0;
> glob_curr_iter_when_opt := 0;
> glob_current_iter := 0;
> glob_iter := 0;
> glob_normmax := 0.0;
> glob_log10abserr := 0.0;
> glob_log10relerr := 0.0;
> glob_max_minutes := 0.0;
> #Write Set Defaults
> glob_orig_start_sec := elapsed_time_seconds();
> MAX_UNCHANGED := 10;
> glob_curr_iter_when_opt := 0;
> glob_display_flag := true;
> glob_no_eqs := 1;
> glob_iter := -1;
> opt_iter := -1;
> glob_max_iter := 50000;
> glob_max_hours := 0.0;
> glob_max_minutes := 15.0;
> omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################");
> omniout_str(ALWAYS,"##############temp/mult_lin_sinpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = (0.2 * x + 0.3) * sin(x);");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits:=32;");
> omniout_str(ALWAYS,"max_terms:=30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := 0.1;");
> omniout_str(ALWAYS,"x_end := 5.0 ;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_h := 0.05;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 1000000;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_desired_digits_correct:=10;");
> omniout_str(ALWAYS,"glob_display_interval:=0.001;");
> omniout_str(ALWAYS,"glob_look_poles:=true;");
> omniout_str(ALWAYS,"glob_max_iter:=10000000;");
> omniout_str(ALWAYS,"glob_max_minutes:=3;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_y := proc(x)");
> omniout_str(ALWAYS,"return(0.2 * sin(x) - 0.2 * cos(x) * x - 0.3 * cos(x));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> glob_log10_abserr := -8.0;
> glob_log10_relerr := -8.0;
> glob_hmax := 0.01;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits:=32;
> max_terms:=30;
> #END FIRST INPUT BLOCK
> #START OF INITS AFTER INPUT BLOCK
> glob_max_terms := max_terms;
> glob_html_log := true;
> #END OF INITS AFTER INPUT BLOCK
> array_y_init:= Array(0..(max_terms + 1),[]);
> array_norms:= Array(0..(max_terms + 1),[]);
> array_fact_1:= Array(0..(max_terms + 1),[]);
> array_pole:= Array(0..(max_terms + 1),[]);
> array_1st_rel_error:= Array(0..(max_terms + 1),[]);
> array_last_rel_error:= Array(0..(max_terms + 1),[]);
> array_type_pole:= Array(0..(max_terms + 1),[]);
> array_y:= Array(0..(max_terms + 1),[]);
> array_x:= Array(0..(max_terms + 1),[]);
> array_tmp0:= Array(0..(max_terms + 1),[]);
> array_tmp1:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_tmp3_g:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_tmp4:= Array(0..(max_terms + 1),[]);
> array_tmp5:= Array(0..(max_terms + 1),[]);
> array_m1:= Array(0..(max_terms + 1),[]);
> array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_fact_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_last_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_type_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_real_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_complex_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=max_terms) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_fact_2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_y := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_x := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp5 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1[1] := 1;
> array_const_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D0[1] := 0.0;
> array_const_0D2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D2[1] := 0.2;
> array_const_0D3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D3[1] := 0.3;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #Initing Factorial Tables
> iiif := 0;
> while (iiif <= glob_max_terms) do # do number 2
> jjjf := 0;
> while (jjjf <= glob_max_terms) do # do number 3
> array_fact_1[iiif] := 0;
> array_fact_2[iiif,jjjf] := 0;
> jjjf := jjjf + 1;
> od;# end do number 3;
> iiif := iiif + 1;
> od;# end do number 2;
> #Done Initing Factorial Tables
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> x_start := 0.1;
> x_end := 5.0 ;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_h := 0.05;
> glob_look_poles := true;
> glob_max_iter := 1000000;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_desired_digits_correct:=10;
> glob_display_interval:=0.001;
> glob_look_poles:=true;
> glob_max_iter:=10000000;
> glob_max_minutes:=3;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> glob_abserr := expt(10.0 , (glob_log10_abserr));
> glob_relerr := expt(10.0 , (glob_log10_relerr));
> if (glob_h > 0.0) then # if number 1
> glob_neg_h := false;
> glob_display_interval := omniabs(glob_display_interval);
> else
> glob_neg_h := true;
> glob_display_interval := -omniabs(glob_display_interval);
> fi;# end if 1;
> chk_data();
> #AFTER INITS AFTER SECOND INPUT BLOCK
> array_y_set_initial[1,1] := true;
> array_y_set_initial[1,2] := false;
> array_y_set_initial[1,3] := false;
> array_y_set_initial[1,4] := false;
> array_y_set_initial[1,5] := false;
> array_y_set_initial[1,6] := false;
> array_y_set_initial[1,7] := false;
> array_y_set_initial[1,8] := false;
> array_y_set_initial[1,9] := false;
> array_y_set_initial[1,10] := false;
> array_y_set_initial[1,11] := false;
> array_y_set_initial[1,12] := false;
> array_y_set_initial[1,13] := false;
> array_y_set_initial[1,14] := false;
> array_y_set_initial[1,15] := false;
> array_y_set_initial[1,16] := false;
> array_y_set_initial[1,17] := false;
> array_y_set_initial[1,18] := false;
> array_y_set_initial[1,19] := false;
> array_y_set_initial[1,20] := false;
> array_y_set_initial[1,21] := false;
> array_y_set_initial[1,22] := false;
> array_y_set_initial[1,23] := false;
> array_y_set_initial[1,24] := false;
> array_y_set_initial[1,25] := false;
> array_y_set_initial[1,26] := false;
> array_y_set_initial[1,27] := false;
> array_y_set_initial[1,28] := false;
> array_y_set_initial[1,29] := false;
> array_y_set_initial[1,30] := false;
> #BEGIN OPTIMIZE CODE
> omniout_str(ALWAYS,"START of Optimize");
> #Start Series -- INITIALIZE FOR OPTIMIZE
> glob_check_sign := check_sign(x_start,x_end);
> glob_h := check_sign(x_start,x_end);
> if (glob_display_interval < glob_h) then # if number 2
> glob_h := glob_display_interval;
> fi;# end if 2;
> found_h := -1.0;
> best_h := 0.0;
> min_value := glob_large_float;
> est_answer := est_size_answer();
> opt_iter := 1;
> while ((opt_iter <= 20) and (found_h < 0.0)) do # do number 2
> omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,"");
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 3
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 3;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 3
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 4
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 4;
> r_order := r_order + 1;
> od;# end do number 3
> ;
> atomall();
> est_needed_step_err := estimated_needed_step_error(x_start,x_end,glob_h,est_answer);
> omniout_float(ALWAYS,"est_needed_step_err",32,est_needed_step_err,16,"");
> value3 := test_suggested_h();
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> if ((value3 < est_needed_step_err) and (found_h < 0.0)) then # if number 2
> best_h := glob_h;
> found_h := 1.0;
> fi;# end if 2;
> omniout_float(ALWAYS,"best_h",32,best_h,32,"");
> opt_iter := opt_iter + 1;
> glob_h := glob_h * 0.5;
> od;# end do number 2;
> if (found_h > 0.0) then # if number 2
> glob_h := best_h ;
> else
> omniout_str(ALWAYS,"No increment to obtain desired accuracy found");
> fi;# end if 2;
> #END OPTIMIZE CODE
> if (glob_html_log) then # if number 2
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 2;
> #BEGIN SOLUTION CODE
> if (found_h > 0.0) then # if number 2
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> current_iter := 1;
> glob_clock_start_sec := elapsed_time_seconds();
> glob_log10normmin := -glob_large_float ;
> if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 3
> tmp := omniabs(array_y_higher[1,1]);
> log10norm := (log10(tmp));
> if (log10norm < glob_log10normmin) then # if number 4
> glob_log10normmin := log10norm;
> fi;# end if 4
> fi;# end if 3;
> display_alot(current_iter)
> ;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and ((glob_check_sign * array_x[1]) < (glob_check_sign * x_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> if (reached_interval()) then # if number 3
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> fi;# end if 3;
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> atomall();
> if (glob_look_poles) then # if number 3
> #left paren 0004C
> check_for_pole();
> fi;# end if 3;#was right paren 0004C
> if (reached_interval()) then # if number 3
> glob_next_display := glob_next_display + glob_display_interval;
> fi;# end if 3;
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y
> order_diff := 1;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_y[term_no] := array_y_higher_work2[1,term_no];
> ord := 1;
> while (ord <= order_diff) do # do number 4
> array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4;
> term_no := term_no - 1;
> od;# end do number 3;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> display_alot(current_iter)
> ;
> od;# end do number 2;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 3
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!");
> fi;# end if 3;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 3
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!");
> fi;# end if 3;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y , x , 1 ) = (0.2 * x + 0.3) * sin(x);");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if (glob_html_log) then # if number 3
> logstart(html_log_file);
> logitem_str(html_log_file,"2012-12-15T02:07:49-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"mult_lin_sin")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = (0.2 * x + 0.3) * sin(x);")
> ;
> logitem_float(html_log_file,x_start)
> ;
> logitem_float(html_log_file,x_end)
> ;
> logitem_float(html_log_file,array_x[1])
> ;
> logitem_float(html_log_file,glob_h)
> ;
> logitem_integer(html_log_file,Digits)
> ;
> ;
> logitem_good_digits(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_max_terms)
> ;
> logitem_float(html_log_file,array_1st_rel_error[1])
> ;
> logitem_float(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_iter)
> ;
> logitem_pole(html_log_file,array_type_pole[1])
> ;
> if (array_type_pole[1] = 1 or array_type_pole[1] = 2) then # if number 4
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 4;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if (glob_percent_done < 100.0) then # if number 4
> logitem_time(html_log_file,convfloat(glob_total_exp_sec))
> ;
> 0;
> else
> logitem_str(html_log_file,"Done")
> ;
> 0;
> fi;# end if 4;
> log_revs(html_log_file," 151 | ")
> ;
> logitem_str(html_log_file,"mult_lin_sin diffeq.mxt")
> ;
> logitem_str(html_log_file,"mult_lin_sin maple results")
> ;
> logitem_str(html_log_file,"Languages compared")
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 3;
> if (glob_html_log) then # if number 3
> fclose(html_log_file);
> fi;# end if 3
> ;
> ;;
> fi;# end if 2
> #END OUTFILEMAIN
> end;
main := proc()
local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff,
term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii,
temp_sum, current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter,
tmp, subiter, est_needed_step_err, value3, min_value, est_answer, best_h,
found_h;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D2, array_const_0D3, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_tmp5,
array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
glob_max_terms := 30;
glob_iolevel := 5;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
MAX_UNCHANGED := 10;
glob_check_sign := 1.0;
glob_desired_digits_correct := 8.0;
glob_max_value3 := 0.;
glob_ratio_of_radius := 0.01;
glob_percent_done := 0.;
glob_subiter_method := 3;
glob_log10normmin := 0.1;
glob_total_exp_sec := 0.1;
glob_optimal_expect_sec := 0.1;
glob_html_log := true;
glob_good_digits := 0;
glob_max_opt_iter := 10;
glob_dump := false;
glob_djd_debug := true;
glob_display_flag := true;
glob_djd_debug2 := true;
glob_sec_in_minute := 60;
glob_min_in_hour := 60;
glob_hours_in_day := 24;
glob_days_in_year := 365;
glob_sec_in_hour := 3600;
glob_sec_in_day := 86400;
glob_sec_in_year := 31536000;
glob_almost_1 := 0.9990;
glob_clock_sec := 0.;
glob_clock_start_sec := 0.;
glob_not_yet_finished := true;
glob_initial_pass := true;
glob_not_yet_start_msg := true;
glob_reached_optimal_h := false;
glob_optimal_done := false;
glob_disp_incr := 0.1;
glob_h := 0.1;
glob_hmax := 1.0;
glob_hmin := 0.1*10^(-10);
glob_hmin_init := 0.001;
glob_large_float := 0.90*10^101;
glob_last_good_h := 0.1;
glob_look_poles := false;
glob_neg_h := false;
glob_display_interval := 0.;
glob_next_display := 0.;
glob_dump_analytic := false;
glob_log10_abserr := 0.1*10^(-10);
glob_log10_relerr := 0.1*10^(-10);
glob_abserr := 0.1*10^(-10);
glob_relerr := 0.1*10^(-10);
glob_max_hours := 0.;
glob_max_iter := 1000;
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_max_trunc_err := 0.1*10^(-10);
glob_no_eqs := 0;
glob_optimal_clock_start_sec := 0.;
glob_optimal_start := 0.;
glob_small_float := 0.1*10^(-50);
glob_smallish_float := 0.1*10^(-100);
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_max_sec := 10000.0;
glob_orig_start_sec := 0.;
glob_start := 0;
glob_curr_iter_when_opt := 0;
glob_current_iter := 0;
glob_iter := 0;
glob_normmax := 0.;
glob_log10abserr := 0.;
glob_log10relerr := 0.;
glob_max_minutes := 0.;
glob_orig_start_sec := elapsed_time_seconds();
MAX_UNCHANGED := 10;
glob_curr_iter_when_opt := 0;
glob_display_flag := true;
glob_no_eqs := 1;
glob_iter := -1;
opt_iter := -1;
glob_max_iter := 50000;
glob_max_hours := 0.;
glob_max_minutes := 15.0;
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################");
omniout_str(ALWAYS,
"##############temp/mult_lin_sinpostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = (0.2 * x + 0.3) * sin(x);")
;
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits:=32;");
omniout_str(ALWAYS, "max_terms:=30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := 0.1;");
omniout_str(ALWAYS, "x_end := 5.0 ;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_h := 0.05;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 1000000;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_desired_digits_correct:=10;");
omniout_str(ALWAYS, "glob_display_interval:=0.001;");
omniout_str(ALWAYS, "glob_look_poles:=true;");
omniout_str(ALWAYS, "glob_max_iter:=10000000;");
omniout_str(ALWAYS, "glob_max_minutes:=3;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_y := proc(x)");
omniout_str(ALWAYS,
"return(0.2 * sin(x) - 0.2 * cos(x) * x - 0.3 * cos(x));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
glob_log10_abserr := -8.0;
glob_log10_relerr := -8.0;
glob_hmax := 0.01;
Digits := 32;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_y_init := Array(0 .. max_terms + 1, []);
array_norms := Array(0 .. max_terms + 1, []);
array_fact_1 := Array(0 .. max_terms + 1, []);
array_pole := Array(0 .. max_terms + 1, []);
array_1st_rel_error := Array(0 .. max_terms + 1, []);
array_last_rel_error := Array(0 .. max_terms + 1, []);
array_type_pole := Array(0 .. max_terms + 1, []);
array_y := Array(0 .. max_terms + 1, []);
array_x := Array(0 .. max_terms + 1, []);
array_tmp0 := Array(0 .. max_terms + 1, []);
array_tmp1 := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_tmp3_g := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_tmp4 := Array(0 .. max_terms + 1, []);
array_tmp5 := Array(0 .. max_terms + 1, []);
array_m1 := Array(0 .. max_terms + 1, []);
array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []);
array_poles := Array(0 .. 2, 0 .. 4, []);
array_real_pole := Array(0 .. 2, 0 .. 4, []);
array_complex_pole := Array(0 .. 2, 0 .. 4, []);
array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []);
term := 1;
while term <= max_terms do array_y_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_fact_1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_last_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_type_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3_g[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp5[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_real_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_complex_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= max_terms do
term := 1;
while term <= max_terms do
array_fact_2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_y := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1
end do;
array_x := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp3_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp3_g[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_tmp5 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1
end do;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1
end do;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_0D2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D2[term] := 0.; term := term + 1
end do;
array_const_0D2[1] := 0.2;
array_const_0D3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D3[term] := 0.; term := term + 1
end do;
array_const_0D3[1] := 0.3;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
iiif := 0;
while iiif <= glob_max_terms do
jjjf := 0;
while jjjf <= glob_max_terms do
array_fact_1[iiif] := 0;
array_fact_2[iiif, jjjf] := 0;
jjjf := jjjf + 1
end do;
iiif := iiif + 1
end do;
x_start := 0.1;
x_end := 5.0;
array_y_init[1] := exact_soln_y(x_start);
glob_h := 0.05;
glob_look_poles := true;
glob_max_iter := 1000000;
glob_desired_digits_correct := 10;
glob_display_interval := 0.001;
glob_look_poles := true;
glob_max_iter := 10000000;
glob_max_minutes := 3;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
glob_abserr := expt(10.0, glob_log10_abserr);
glob_relerr := expt(10.0, glob_log10_relerr);
if 0. < glob_h then
glob_neg_h := false;
glob_display_interval := omniabs(glob_display_interval)
else
glob_neg_h := true;
glob_display_interval := -omniabs(glob_display_interval)
end if;
chk_data();
array_y_set_initial[1, 1] := true;
array_y_set_initial[1, 2] := false;
array_y_set_initial[1, 3] := false;
array_y_set_initial[1, 4] := false;
array_y_set_initial[1, 5] := false;
array_y_set_initial[1, 6] := false;
array_y_set_initial[1, 7] := false;
array_y_set_initial[1, 8] := false;
array_y_set_initial[1, 9] := false;
array_y_set_initial[1, 10] := false;
array_y_set_initial[1, 11] := false;
array_y_set_initial[1, 12] := false;
array_y_set_initial[1, 13] := false;
array_y_set_initial[1, 14] := false;
array_y_set_initial[1, 15] := false;
array_y_set_initial[1, 16] := false;
array_y_set_initial[1, 17] := false;
array_y_set_initial[1, 18] := false;
array_y_set_initial[1, 19] := false;
array_y_set_initial[1, 20] := false;
array_y_set_initial[1, 21] := false;
array_y_set_initial[1, 22] := false;
array_y_set_initial[1, 23] := false;
array_y_set_initial[1, 24] := false;
array_y_set_initial[1, 25] := false;
array_y_set_initial[1, 26] := false;
array_y_set_initial[1, 27] := false;
array_y_set_initial[1, 28] := false;
array_y_set_initial[1, 29] := false;
array_y_set_initial[1, 30] := false;
omniout_str(ALWAYS, "START of Optimize");
glob_check_sign := check_sign(x_start, x_end);
glob_h := check_sign(x_start, x_end);
if glob_display_interval < glob_h then glob_h := glob_display_interval
end if;
found_h := -1.0;
best_h := 0.;
min_value := glob_large_float;
est_answer := est_size_answer();
opt_iter := 1;
while opt_iter <= 20 and found_h < 0. do
omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, "");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
atomall();
est_needed_step_err :=
estimated_needed_step_error(x_start, x_end, glob_h, est_answer)
;
omniout_float(ALWAYS, "est_needed_step_err", 32,
est_needed_step_err, 16, "");
value3 := test_suggested_h();
omniout_float(ALWAYS, "value3", 32, value3, 32, "");
if value3 < est_needed_step_err and found_h < 0. then
best_h := glob_h; found_h := 1.0
end if;
omniout_float(ALWAYS, "best_h", 32, best_h, 32, "");
opt_iter := opt_iter + 1;
glob_h := glob_h*0.5
end do;
if 0. < found_h then glob_h := best_h
else omniout_str(ALWAYS,
"No increment to obtain desired accuracy found")
end if;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
if 0. < found_h then
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
glob_log10normmin := -glob_large_float;
if glob_small_float < omniabs(array_y_higher[1, 1]) then
tmp := omniabs(array_y_higher[1, 1]);
log10norm := log10(tmp);
if log10norm < glob_log10normmin then
glob_log10normmin := log10norm
end if
end if;
display_alot(current_iter);
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and
glob_check_sign*array_x[1] < glob_check_sign*x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
if reached_interval() then
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop")
end if;
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
atomall();
if glob_look_poles then check_for_pole() end if;
if reached_interval() then glob_next_display :=
glob_next_display + glob_display_interval
end if;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
order_diff := 1;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
term_no := glob_max_terms;
while 1 <= term_no do
array_y[term_no] := array_y_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y_higher[ord, term_no] :=
array_y_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do;
display_alot(current_iter)
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO,
"diff ( y , x , 1 ) = (0.2 * x + 0.3) * sin(x);");
omniout_int(INFO, "Iterations ", 32,
glob_iter, 4, " ");
prog_report(x_start, x_end);
if glob_html_log then
logstart(html_log_file);
logitem_str(html_log_file, "2012-12-15T02:07:49-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"mult_lin_sin");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = (0.2 * x + 0.3) * sin(x);");
logitem_float(html_log_file, x_start);
logitem_float(html_log_file, x_end);
logitem_float(html_log_file, array_x[1]);
logitem_float(html_log_file, glob_h);
logitem_integer(html_log_file, Digits);
logitem_good_digits(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_max_terms);
logitem_float(html_log_file, array_1st_rel_error[1]);
logitem_float(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_iter);
logitem_pole(html_log_file, array_type_pole[1]);
if array_type_pole[1] = 1 or array_type_pole[1] = 2 then
logitem_float(html_log_file, array_pole[1]);
logitem_float(html_log_file, array_pole[2]);
0
else
logitem_str(html_log_file, "NA");
logitem_str(html_log_file, "NA");
0
end if;
logitem_time(html_log_file, convfloat(glob_clock_sec));
if glob_percent_done < 100.0 then
logitem_time(html_log_file, convfloat(glob_total_exp_sec));
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 151 | ");
logitem_str(html_log_file, "mult_lin_sin diffeq.mxt");
logitem_str(html_log_file, "mult_lin_sin maple results");
logitem_str(html_log_file, "Languages compared");
logend(html_log_file)
end if;
if glob_html_log then fclose(html_log_file) end if
end if
end proc
> # End Function number 12
> main();
##############ECHO OF PROBLEM#################
##############temp/mult_lin_sinpostode.ode#################
diff ( y , x , 1 ) = (0.2 * x + 0.3) * sin(x);
!
#BEGIN FIRST INPUT BLOCK
Digits:=32;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 0.1;
x_end := 5.0 ;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_h := 0.05;
glob_look_poles := true;
glob_max_iter := 1000000;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_desired_digits_correct:=10;
glob_display_interval:=0.001;
glob_look_poles:=true;
glob_max_iter:=10000000;
glob_max_minutes:=3;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
return(0.2 * sin(x) - 0.2 * cos(x) * x - 0.3 * cos(x));
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
opt_iter = 1
glob_desired_digits_correct = 10
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 4.9
estimated_steps = 4900
step_error = 2.0408163265306122448979591836735e-14
est_needed_step_err = 2.0408163265306122448979591836735e-14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 1.3705860906274558872596434205749e-102
max_value3 = 1.3705860906274558872596434205749e-102
value3 = 1.3705860906274558872596434205749e-102
best_h = 0.001
START of Soultion
x[1] = 0.1
y[1] (analytic) = -0.29843464955960261468921699641511
y[1] (numeric) = -0.29843464955960261468921699641511
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.101
y[1] (analytic) = -0.2984025336212741273070142166406
y[1] (numeric) = -0.29840253362127412728667229425466
absolute error = 2.034192238594e-20
relative error = 6.8169402381004969641797378550633e-18 %
Correct digits = 19
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.102
y[1] (analytic) = -0.29837007894909531559150483152161
y[1] (numeric) = -0.2983700789490953155507645133264
absolute error = 4.074031819521e-20
relative error = 1.3654290785022272167020415315521e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.103
y[1] (analytic) = -0.2983372851775796135894853599193
y[1] (numeric) = -0.29833728517757961352829019485421
absolute error = 6.119516506509e-20
relative error = 2.0512074120626504339678034698641e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.104
y[1] (analytic) = -0.29830415194162028393579558689679
y[1] (numeric) = -0.29830415194162028385408914633974
absolute error = 8.170644055705e-20
relative error = 2.7390312882081636895773567422882e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.105
y[1] (analytic) = -0.29827067887649118086049849299255
y[1] (numeric) = -0.29827067887649118075822437083577
absolute error = 1.0227412215678e-19
relative error = 3.4289029864423910028360845294068e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.106
y[1] (analytic) = -0.29823686561784751277434144352962
y[1] (numeric) = -0.29823686561784751265144325625538
absolute error = 1.2289818727424e-19
relative error = 4.1208248021127724952306139101853e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.107
y[1] (analytic) = -0.29820271180172660443133819325022
y[1] (numeric) = -0.29820271180172660428775958000657
absolute error = 1.4357861324365e-19
relative error = 4.8147990464659038913219201077438e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.108
y[1] (analytic) = -0.29816821706454865866731172596987
y[1] (numeric) = -0.2981682170645486585029963486463
absolute error = 1.6431537732357e-19
relative error = 5.5108280467062102780690157560091e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.109
y[1] (analytic) = -0.29813338104311751771323841490657
y[1] (numeric) = -0.29813338104311751752812995820973
absolute error = 1.8510845669684e-19
relative error = 6.2089141460502439823325320233690e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.11
y[1] (analytic) = -0.29809820337462142408223445686051
y[1] (numeric) = -0.29809820337462142387627662838982
absolute error = 2.0595782847069e-19
relative error = 6.9090597037870040924001529860060e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.111
y[1] (analytic) = -0.29806268369663378102902600249521
y[1] (numeric) = -0.29806268369663378080216253281852
absolute error = 2.2686346967669e-19
relative error = 7.6112670953332129301010544950532e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.112
y[1] (analytic) = -0.29802682164711391258074487560384
y[1] (numeric) = -0.29802682164711391233291951833298
absolute error = 2.4782535727086e-19
relative error = 8.3155387122942844418375237594858e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.113
y[1] (analytic) = -0.29799061686440782313789224643202
y[1] (numeric) = -0.29799061686440782286904877829839
absolute error = 2.6884346813363e-19
relative error = 9.0218769625205881456672411688592e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.114
y[1] (analytic) = -0.29795406898724895664431309787218
y[1] (numeric) = -0.29795406898724895635439531880234
absolute error = 2.8991777906984e-19
relative error = 9.7302842701653833651522882517799e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
memory used=3.8MB, alloc=2.9MB, time=0.38
NO POLE
x[1] = 0.115
y[1] (analytic) = -0.29791717765475895532502479864248
y[1] (numeric) = -0.29791717765475895501397653183359
absolute error = 3.1104826680889e-19
relative error = 1.0440763075748119336291470779430e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.116
y[1] (analytic) = -0.29787994250644841799074357441507
y[1] (numeric) = -0.29787994250644841765850866641046
absolute error = 3.3223490800461e-19
relative error = 1.1153315836208672416758462289198e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.117
y[1] (analytic) = -0.29784236318221765790795314626524
y[1] (numeric) = -0.29784236318221765755447546702984
absolute error = 3.5347767923540e-19
relative error = 1.1867945024970980549766331950918e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.118
y[1] (analytic) = -0.29780443932235746023336028577124
y[1] (numeric) = -0.29780443932235745985858372876702
absolute error = 3.7477655700422e-19
relative error = 1.2584653132001981939732060661884e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.119
y[1] (analytic) = -0.29776617056754983901158251760674
y[1] (numeric) = -0.29776617056754983861545099986816
absolute error = 3.9613151773858e-19
relative error = 1.3303442663870893250970236342635e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.12
y[1] (analytic) = -0.29772755655886879373491368353168
y[1] (numeric) = -0.29772755655886879331737114574105
absolute error = 4.1754253779063e-19
relative error = 1.4024316143812188327474149065577e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.121
y[1] (analytic) = -0.29768859693778106546401356630237
y[1] (numeric) = -0.29768859693778106502500397286524
absolute error = 4.3900959343713e-19
relative error = 1.4747276111784892476023395605820e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.122
y[1] (analytic) = -0.29764929134614689250836825818838
y[1] (numeric) = -0.29764929134614689204783559730888
absolute error = 4.6053266087950e-19
relative error = 1.5472325124534910241943391360432e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.123
y[1] (analytic) = -0.29760963942622076566536844650071
y[1] (numeric) = -0.29760963942622076518325673025684
absolute error = 4.8211171624387e-19
relative error = 1.6199465755657703352322057132857e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.124
y[1] (analytic) = -0.29756964082065218301685327780228
y[1] (numeric) = -0.29756964082065218251310654222124
absolute error = 5.0374673558104e-19
relative error = 1.6928700595658296661360730311138e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.125
y[1] (analytic) = -0.29752929517248640428196795328876
y[1] (numeric) = -0.29752929517248640375653025842216
absolute error = 5.2543769486660e-19
relative error = 1.7660032252017014114008505749132e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.126
y[1] (analytic) = -0.29748860212516520472518370019222
y[1] (numeric) = -0.29748860212516520417799913019136
absolute error = 5.4718457000086e-19
relative error = 1.8393463349249187013511403202134e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.127
y[1] (analytic) = -0.29744756132252762861832925797448
y[1] (numeric) = -0.29744756132252762804934192116555
absolute error = 5.6898733680893e-19
relative error = 1.9128996528970261456146113971514e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.128
y[1] (analytic) = -0.29740617240881074225548351353783
y[1] (numeric) = -0.29740617240881074166463754249708
absolute error = 5.9084597104075e-19
relative error = 1.9866634449959587336316818803542e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.129
y[1] (analytic) = -0.29736443502865038651957941668976
y[1] (numeric) = -0.29736443502865038590681896831866
absolute error = 6.1276044837110e-19
relative error = 2.0606379788223898578517421765140e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.13
y[1] (analytic) = -0.29732234882708192899956980565382
y[1] (numeric) = -0.29732234882708192836483906125419
absolute error = 6.3473074439963e-19
relative error = 2.1348235237061831690479962990419e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.131
y[1] (analytic) = -0.29727991344954101565700627252004
y[1] (numeric) = -0.29727991344954101500024943786915
absolute error = 6.5675683465089e-19
relative error = 2.2092203507128812962563122813788e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.132
y[1] (analytic) = -0.29723712854186432204088270017583
y[1] (numeric) = -0.29723712854186432136204400560149
absolute error = 6.7883869457434e-19
relative error = 2.2838287326501643903820464988721e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.133
y[1] (analytic) = -0.2971939937502903040495956054504
y[1] (numeric) = -0.29719399375029030334861930590601
absolute error = 7.0097629954439e-19
relative error = 2.3586489440744469105205824481363e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.134
y[1] (analytic) = -0.29715050872145994823887392794259
y[1] (numeric) = -0.29715050872145994751570430308212
absolute error = 7.2316962486047e-19
relative error = 2.4336812612976130035567925318282e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.135
y[1] (analytic) = -0.29710667310241752167453141028257
y[1] (numeric) = -0.29710667310241752092911276453559
absolute error = 7.4541864574698e-19
relative error = 2.5089259623933859636561606783513e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.136
y[1] (analytic) = -0.29706248654061132132889522340241
y[1] (numeric) = -0.29706248654061132056117188604905
absolute error = 7.6772333735336e-19
relative error = 2.5843833272041395178380200010681e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.137
y[1] (analytic) = -0.29701794868389442301976499975714
y[1] (numeric) = -0.29701794868389442222968132500303
absolute error = 7.9008367475411e-19
relative error = 2.6600536373475792529700935003668e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.138
y[1] (analytic) = -0.29697305918052542989075694834734
y[1] (numeric) = -0.29697305918052542907825731539852
absolute error = 8.1249963294882e-19
relative error = 2.7359371762234963041147435527372e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.139
y[1] (analytic) = -0.29692781767916922043188823784526
y[1] (numeric) = -0.29692781767916921959691705098307
absolute error = 8.3497118686219e-19
relative error = 2.8120342290205262407204621087021e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.14
y[1] (analytic) = -0.29688222382889769603925734811866
y[1] (numeric) = -0.29688222382889769518175903677459
absolute error = 8.5749831134407e-19
relative error = 2.8883450827230144243583596754303e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.141
y[1] (analytic) = -0.29683627727919052811267660597919
y[1] (numeric) = -0.29683627727919052723259562480968
memory used=7.6MB, alloc=4.1MB, time=0.83
absolute error = 8.8008098116951e-19
relative error = 2.9648700261179544831128676562243e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.142
y[1] (analytic) = -0.29678997767993590469011363805476
y[1] (numeric) = -0.29678997767993590378739446701605
absolute error = 9.0271917103871e-19
relative error = 3.0416093498016295713002487372808e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.143
y[1] (analytic) = -0.29674332468143127661779899229785
y[1] (numeric) = -0.29674332468143127569238613672075
absolute error = 9.2541285557710e-19
relative error = 3.1185633461867313914516257186722e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.144
y[1] (analytic) = -0.29669631793438410325485769979231
y[1] (numeric) = -0.29669631793438410230669569045689
absolute error = 9.4816200933542e-19
relative error = 3.1957323095095195662181819554056e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.145
y[1] (analytic) = -0.29664895708991259771132307021062
y[1] (numeric) = -0.29664895708991259674035646342098
absolute error = 9.7096660678964e-19
relative error = 3.2731165358364822757528016787001e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.146
y[1] (analytic) = -0.29660124179954647161839153750092
y[1] (numeric) = -0.29660124179954647062456491515984
absolute error = 9.9382662234108e-19
relative error = 3.3507163230717115795677419565248e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.147
y[1] (analytic) = -0.29655317171522767942977789714666
y[1] (numeric) = -0.2965531717152276784130358668303
absolute error = 1.01674203031636e-18
relative error = 3.4285319709637467830576552304985e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.148
y[1] (analytic) = -0.29650474648931116225303080264308
y[1] (numeric) = -0.29650474648931116121331799767557
absolute error = 1.03971280496751e-18
relative error = 3.5065637811129984433679737130321e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.149
y[1] (analytic) = -0.29645596577456559120966891667064
y[1] (numeric) = -0.29645596577456559014692999619873
absolute error = 1.06273892047191e-18
relative error = 3.5848120569786407560083663285073e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.15
y[1] (analytic) = -0.2964068292241741103229986418184
y[1] (numeric) = -0.29640682922417410923717829088596
absolute error = 1.08582035093244e-18
relative error = 3.6632771038862539647144497708805e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.151
y[1] (analytic) = -0.29635733649173507893247488661622
y[1] (numeric) = -0.29635733649173507782351781623885
absolute error = 1.10895707037737e-18
relative error = 3.7419592290346319726283150771126e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.152
y[1] (analytic) = -0.2963074872312628136334668550766
y[1] (numeric) = -0.29630748723126281250131780231613
absolute error = 1.13214905276047e-18
relative error = 3.8208587415033743543034483875855e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.153
y[1] (analytic) = -0.29625728109718832974129138192085
y[1] (numeric) = -0.29625728109718832858589510995984
absolute error = 1.15539627196101e-18
relative error = 3.8999759522601500253714732588659e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.154
y[1] (analytic) = -0.29620671774436008227837687117249
y[1] (numeric) = -0.29620671774436008109967816938863
absolute error = 1.17869870178386e-18
relative error = 3.9793111741683413849956310436199e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.155
y[1] (analytic) = -0.29615579682804470648342143284025
y[1] (numeric) = -0.29615579682804470528136511688086
absolute error = 1.20205631595939e-18
relative error = 4.0588647219940566438230958444826e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.156
y[1] (analytic) = -0.29610451800392775784140935098569
y[1] (numeric) = -0.29610451800392775661594026284207
absolute error = 1.22546908814362e-18
relative error = 4.1386369124140295502499546801785e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.157
y[1] (analytic) = -0.29605288092811445163335055657278
y[1] (numeric) = -0.29605288092811445038441356465461
absolute error = 1.24893699191817e-18
relative error = 4.2186280640228878290740970963088e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.158
y[1] (analytic) = -0.29600088525713040200460832013112
y[1] (numeric) = -0.29600088525713040073214831934079
absolute error = 1.27246000079033e-18
relative error = 4.2988384973408708863348686068249e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.159
y[1] (analytic) = -0.29594853064792236055068092242789
y[1] (numeric) = -0.2959485306479223592546428342348
absolute error = 1.29603808819309e-18
relative error = 4.3792685348214569385871246104765e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.16
y[1] (analytic) = -0.29589581675785895441930360603689
y[1] (numeric) = -0.29589581675785895309963237855175
absolute error = 1.31967122748514e-18
relative error = 4.4599185008589334975380004966326e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.161
y[1] (analytic) = -0.29584274324473142392773765691505
y[1] (numeric) = -0.29584274324473142258437826496413
absolute error = 1.34335939195092e-18
relative error = 4.5407887217961817990573749616854e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.162
y[1] (analytic) = -0.29578930976675435969411401284696
y[1] (numeric) = -0.29578930976675435832701145804629
absolute error = 1.36710255480067e-18
relative error = 4.6218795259325066529374989662776e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.163
y[1] (analytic) = -0.29573551598256643928169934489559
y[1] (numeric) = -0.29573551598256643789079865572518
absolute error = 1.39090068917041e-18
relative error = 4.7031912435312753241104881415367e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.164
y[1] (analytic) = -0.29568136155123116335495310880236
y[1] (numeric) = -0.29568136155123116194019934068036
absolute error = 1.41475376812200e-18
relative error = 4.7847242068278727556914432225193e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.165
y[1] (analytic) = -0.29562684613223759134624461561064
y[1] (numeric) = -0.29562684613223758990758285096744
absolute error = 1.43866176464320e-18
relative error = 4.8664787500377031785446539192589e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.166
y[1] (analytic) = -0.29557196938550107663209972464359
y[1] (numeric) = -0.29557196938550107516947507299598
absolute error = 1.46262465164761e-18
relative error = 4.9484552093638324313646946235798e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.167
y[1] (analytic) = -0.29551673097136400121784731734948
y[1] (numeric) = -0.29551673097136399973120491537466
absolute error = 1.48664240197482e-18
relative error = 5.0306539230053874669201517759648e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.168
y[1] (analytic) = -0.29546113055059650992953626743373
y[1] (numeric) = -0.29546113055059650841882127904338
absolute error = 1.51071498839035e-18
relative error = 5.1130752311652927839043766120238e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.2MB, time=1.29
NO POLE
x[1] = 0.169
y[1] (analytic) = -0.29540516778439724411199418112756
y[1] (numeric) = -0.29540516778439724257715179754186
absolute error = 1.53484238358570e-18
relative error = 5.1957194760584264316566811302325e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.17
y[1] (analytic) = -0.2953488423343940748318997413968
y[1] (numeric) = -0.29534884233439407327287518121841
absolute error = 1.55902456017839e-18
relative error = 5.2785870019197901005257383241162e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.171
y[1] (analytic) = -0.2952921538626448355847410513704
y[1] (numeric) = -0.29529215386264483400147956065837
absolute error = 1.58326149071203e-18
relative error = 5.3616781550128290388761544550883e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.172
y[1] (analytic) = -0.2952351020316380545045329352666
y[1] (numeric) = -0.29523510203163805289697978761034
absolute error = 1.60755314765626e-18
relative error = 5.4449932836373603221322423707275e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.173
y[1] (analytic) = -0.29517768650429368607516671961459
y[1] (numeric) = -0.29517768650429368444326721620773
absolute error = 1.63189950340686e-18
relative error = 5.5285327381381255454963158066196e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.174
y[1] (analytic) = -0.29511990694396384234226658360937
y[1] (numeric) = -0.29511990694396384068596605332363
absolute error = 1.65630053028574e-18
relative error = 5.6122968709129864027792745072566e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.175
y[1] (analytic) = -0.29506176301443352362442713499856
y[1] (numeric) = -0.29506176301443352194367093445758
absolute error = 1.68075620054098e-18
relative error = 5.6962860364213390839185699394963e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.176
y[1] (analytic) = -0.29500325437992134872270743697954
y[1] (numeric) = -0.29500325437992134701744095063264
absolute error = 1.70526648634690e-18
relative error = 5.7805005911926802648138559832270e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.177
y[1] (analytic) = -0.29494438070508028462725728218408
y[1] (numeric) = -0.29494438070508028289742592238008
absolute error = 1.72983135980400e-18
relative error = 5.8649408938347826978528313747920e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.178
y[1] (analytic) = -0.2948851416549983757199520819451
y[1] (numeric) = -0.29488514165499837396550128900601
absolute error = 1.75445079293909e-18
relative error = 5.9496073050425652984175226980459e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.179
y[1] (analytic) = -0.29482553689519947247191331267406
y[1] (numeric) = -0.2948255368951994706927885549688
absolute error = 1.77912475770526e-18
relative error = 6.0345001876064718336440995968318e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.18
y[1] (analytic) = -0.29476556609164395963479203632963
y[1] (numeric) = -0.29476556609164395783093881034768
absolute error = 1.80385322598195e-18
relative error = 6.1196199064212398551181588015878e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.181
y[1] (analytic) = -0.29470522891072948392469358862554
y[1] (numeric) = -0.29470522891072948209605741905059
absolute error = 1.82863616957495e-18
relative error = 6.2049668284944838593612462228498e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.182
y[1] (analytic) = -0.29464452501929168119762210680918
y[1] (numeric) = -0.29464452501929167934414854659277
absolute error = 1.85347356021641e-18
relative error = 6.2905413229553642045005828881949e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.183
y[1] (analytic) = -0.29458345408460490311532414854088
y[1] (numeric) = -0.29458345408460490123695877897593
absolute error = 1.87836536956495e-18
relative error = 6.3763437610636477019011681976743e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.184
y[1] (analytic) = -0.29452201577438294330041123461612
y[1] (numeric) = -0.29452201577438294139709966541047
absolute error = 1.90331156920565e-18
relative error = 6.4623745162184137624524048325266e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.185
y[1] (analytic) = -0.29446020975677976297964173099964
y[1] (numeric) = -0.29446020975677976105132960034959
absolute error = 1.92831213065005e-18
relative error = 6.5486339639668473539280058429236e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.186
y[1] (analytic) = -0.29439803570039021611424306987968
y[1] (numeric) = -0.29439803570039021416087604454347
absolute error = 1.95336702533621e-18
relative error = 6.6351224820132890183123662093087e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.187
y[1] (analytic) = -0.29433549327425077401615589520212
y[1] (numeric) = -0.29433549327425077203767967057333
absolute error = 1.97847622462879e-18
relative error = 6.7218404502284067172006117221536e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.188
y[1] (analytic) = -0.29427258214784024944908230540775
y[1] (numeric) = -0.29427258214784024744544260558879
absolute error = 2.00363969981896e-18
relative error = 6.8087882506578443199195620518300e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.189
y[1] (analytic) = -0.29420930199108052021322095487066
y[1] (numeric) = -0.29420930199108051818436353274609
absolute error = 2.02885742212457e-18
relative error = 6.8959662675318077867353089216691e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.19
y[1] (analytic) = -0.29414565247433725221257236581992
y[1] (numeric) = -0.29414565247433725015844300312985
absolute error = 2.05412936269007e-18
relative error = 6.9833748872738569149417052009667e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.191
y[1] (analytic) = -0.29408163326842062200369839432205
y[1] (numeric) = -0.29408163326842061992424290173537
absolute error = 2.07945549258668e-18
relative error = 7.0710144985106019528686946265160e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.192
y[1] (analytic) = -0.29401724404458603882482038720439
y[1] (numeric) = -0.29401724404458603671998460439217
absolute error = 2.10483578281222e-18
relative error = 7.1588854920803000707933455034448e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.193
y[1] (analytic) = -0.29395248447453486610414116161262
y[1] (numeric) = -0.29395248447453486397387095732128
absolute error = 2.13027020429134e-18
relative error = 7.2469882610428677169734002723116e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.194
y[1] (analytic) = -0.29388735423041514244627653521411
y[1] (numeric) = -0.29388735423041514029051780733867
absolute error = 2.15575872787544e-18
relative error = 7.3353232006888954460551270787070e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.195
y[1] (analytic) = -0.29382185298482230209568273288643
y[1] (numeric) = -0.2938218529848222999143814085437
absolute error = 2.18130132434273e-18
relative error = 7.4238907085491955237550950853147e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.196
y[1] (analytic) = -0.29375598041079989487596659506287
y[1] (numeric) = -0.29375598041079989266906863066459
absolute error = 2.20689796439828e-18
relative error = 7.5126911844043728104227280063552e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
memory used=15.2MB, alloc=4.3MB, time=1.77
NO POLE
x[1] = 0.197
y[1] (analytic) = -0.29368973618184030560396611374578
y[1] (numeric) = -0.29368973618184030337141749507175
absolute error = 2.23254861867403e-18
relative error = 7.6017250302943171203435002262358e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.198
y[1] (analytic) = -0.29362311997188547297748942454224
y[1] (numeric) = -0.29362311997188547071923616681341
absolute error = 2.25825325772883e-18
relative error = 7.6909926505278556426455642597969e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.199
y[1] (analytic) = -0.29355613145532760793560098692468
y[1] (numeric) = -0.29355613145532760565158913487619
absolute error = 2.28401185204849e-18
relative error = 7.7804944516924978574357881932830e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.2
y[1] (analytic) = -0.2934887703070099114903442902707
y[1] (numeric) = -0.29348877030700990918051991822491
absolute error = 2.30982437204579e-18
relative error = 7.8702308426641030441645721732505e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.201
y[1] (analytic) = -0.29342103620222729202879103009118
y[1] (numeric) = -0.29342103620222728969310024203067
absolute error = 2.33569078806051e-18
relative error = 7.9602022346166750569715073977040e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.202
y[1] (analytic) = -0.29335292881672708208430730721271
y[1] (numeric) = -0.29335292881672707972269623685319
absolute error = 2.36161107035952e-18
relative error = 8.0504090410324212422126020955979e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.203
y[1] (analytic) = -0.29328444782670975457592801253871
y[1] (numeric) = -0.293284447826709752188342823402
absolute error = 2.38758518913671e-18
relative error = 8.1408516777113261225210410530912e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.204
y[1] (analytic) = -0.29321559290882963851473117137354
y[1] (numeric) = -0.29321559290882963610111805686043
absolute error = 2.41361311451311e-18
relative error = 8.2315305627814330358134180400709e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.205
y[1] (analytic) = -0.29314636374019563417610463415311
y[1] (numeric) = -0.2931463637401956317364098176162
absolute error = 2.43969481653691e-18
relative error = 8.3224461167088459451439158860855e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.206
y[1] (analytic) = -0.29307675999837192773679811478492
y[1] (numeric) = -0.29307675999837192527096784960145
absolute error = 2.46583026518347e-18
relative error = 8.4135987623077583728529787638988e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.207
y[1] (analytic) = -0.29300678136137870537565419365856
y[1] (numeric) = -0.29300678136137870288363476330321
absolute error = 2.49201943035535e-18
relative error = 8.5049889247506122158290478365562e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.208
y[1] (analytic) = -0.29293642750769286683691251974377
y[1] (numeric) = -0.29293642750769286431865023786137
absolute error = 2.51826228188240e-18
relative error = 8.5966170315785235345239957526295e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.209
y[1] (analytic) = -0.29286569811624873845498206504652
y[1] (numeric) = -0.29286569811624873591042327552482
absolute error = 2.54455878952170e-18
relative error = 8.6884835127112590446164337311236e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.21
y[1] (analytic) = -0.29279459286643878563957690504444
y[1] (numeric) = -0.29279459286643878306866798208677
absolute error = 2.57090892295767e-18
relative error = 8.7805888004578558012807359719554e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.211
y[1] (analytic) = -0.29272311143811432482011162056875
y[1] (numeric) = -0.29272311143811432222279896876663
absolute error = 2.59731265180212e-18
relative error = 8.8729333295270997757343789298435e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.212
y[1] (analytic) = -0.29265125351158623484825303994156
y[1] (numeric) = -0.29265125351158623222448309434737
absolute error = 2.62376994559419e-18
relative error = 8.9655175370376925731491873537656e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.213
y[1] (analytic) = -0.29257901876762566785752566501423
y[1] (numeric) = -0.29257901876762566520724489121378
absolute error = 2.65028077380045e-18
relative error = 9.0583418625290289206397269346915e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.214
y[1] (analytic) = -0.29250640688746475957886875108191
y[1] (numeric) = -0.29250640688746475690202364526697
absolute error = 2.67684510581494e-18
relative error = 9.1514067479718341984029540518348e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.215
y[1] (analytic) = -0.29243341755279733911104363847335
y[1] (numeric) = -0.29243341755279733640758072751413
absolute error = 2.70346291095922e-18
relative error = 9.2447126377789014891878306045109e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.216
y[1] (analytic) = -0.29236005044577963814479056293059
y[1] (numeric) = -0.29236005044577963541465640444828
absolute error = 2.73013415848231e-18
relative error = 9.3382599788155182137287180747736e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.217
y[1] (analytic) = -0.29228630524903099963963480270121
y[1] (numeric) = -0.29228630524903099688277598514038
absolute error = 2.75685881756083e-18
relative error = 9.4320492204106427565632933158995e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.218
y[1] (analytic) = -0.29221218164563458595224265256406
y[1] (numeric) = -0.29221218164563458316860579526507
absolute error = 2.78363685729899e-18
relative error = 9.5260808143676349948880107753994e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.219
y[1] (analytic) = -0.29213767931913808641522834879876
y[1] (numeric) = -0.29213767931913808360476010207015
absolute error = 2.81046824672861e-18
relative error = 9.6203552149751564434728935609426e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.22
y[1] (analytic) = -0.29206279795355442436531370438798
y[1] (numeric) = -0.29206279795355442152796074957877
absolute error = 2.83735295480921e-18
relative error = 9.7148728790183776267315314303280e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.221
y[1] (analytic) = -0.29198753723336246361974285050878
y[1] (numeric) = -0.2919875372333624607554519000808
absolute error = 2.86429095042798e-18
relative error = 9.8096342657898428744465039413890e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.222
y[1] (analytic) = -0.29191189684350771439985511862551
y[1] (numeric) = -0.29191189684350771150857291622566
absolute error = 2.89128220239985e-18
relative error = 9.9046398371007459355249998829224e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.223
y[1] (analytic) = -0.29183587646940303870071973723957
y[1] (numeric) = -0.29183587646940303578239305777203
absolute error = 2.91832667946754e-18
relative error = 9.9998900572922063236458425165912e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.224
y[1] (analytic) = -0.29175947579692935510573665858155
y[1] (numeric) = -0.29175947579692935216031230827999
absolute error = 2.94542435030156e-18
relative error = 1.0095385393246443938165976469963e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=19.0MB, alloc=4.3MB, time=2.25
NO POLE
x[1] = 0.225
y[1] (analytic) = -0.29168269451243634304510847324716
y[1] (numeric) = -0.29168269451243634007253328974688
absolute error = 2.97257518350028e-18
relative error = 1.0191126314398263545724723162243e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.226
y[1] (analytic) = -0.29160553230274314649708901497942
y[1] (numeric) = -0.29160553230274314349730986738952
absolute error = 2.99977914758990e-18
relative error = 1.0287113292746267081730003360320e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.227
y[1] (analytic) = -0.29152798885513907713091490348579
y[1] (numeric) = -0.2915279888551390741038786924612
absolute error = 3.02703621102459e-18
relative error = 1.0383346802864719793106203290859e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.228
y[1] (analytic) = -0.29145006385738431689032692034775
y[1] (numeric) = -0.29145006385738431383598057816132
absolute error = 3.05434634218643e-18
relative error = 1.0479827321914802298297986766611e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.229
y[1] (analytic) = -0.29137175699771062001658876173374
y[1] (numeric) = -0.29137175699771061693487925234822
absolute error = 3.08170950938552e-18
relative error = 1.0576555329656517649598952317294e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.23
y[1] (analytic) = -0.29129306796482201450991136176076
y[1] (numeric) = -0.29129306796482201140078568090082
absolute error = 3.10912568085994e-18
relative error = 1.0673531308460156454862901787398e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.231
y[1] (analytic) = -0.29121399644789550302819163196685
y[1] (numeric) = -0.29121399644789549989159680719098
absolute error = 3.13659482477587e-18
relative error = 1.0770755743318384114864548872181e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.232
y[1] (analytic) = -0.29113454213658176322197511545374
y[1] (numeric) = -0.29113454213658176005785820622619
absolute error = 3.16411690922755e-18
relative error = 1.0868229121857852591865365956839e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.233
y[1] (analytic) = -0.29105470472100584750455270883678
y[1] (numeric) = -0.2910547047210058443128608065994
absolute error = 3.19169190223738e-18
relative error = 1.0965951934351366923376725573733e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.234
y[1] (analytic) = -0.29097448389176788225610226119581
y[1] (numeric) = -0.29097448389176787903678248943991
absolute error = 3.21931977175590e-18
relative error = 1.1063924673729714382779796666092e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.235
y[1] (analytic) = -0.29089387933994376646078651675639
y[1] (numeric) = -0.29089387933994376321378603109454
absolute error = 3.24700048566185e-18
relative error = 1.1162147835593843564429599949093e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.236
y[1] (analytic) = -0.29081289075708586977571952704392
y[1] (numeric) = -0.29081289075708586650098551528167
absolute error = 3.27473401176225e-18
relative error = 1.1260621918227188144320005951949e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.237
y[1] (analytic) = -0.29073151783522373003071431874363
y[1] (numeric) = -0.29073151783522372672819400095129
absolute error = 3.30252031779234e-18
relative error = 1.1359347422607585661154553671381e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.238
y[1] (analytic) = -0.29064976026686475015772526546652
y[1] (numeric) = -0.29064976026686474682736589405079
absolute error = 3.33035937141573e-18
relative error = 1.1458324852419995120700886792280e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.239
y[1] (analytic) = -0.29056761774499489454889927506319
y[1] (numeric) = -0.29056761774499489119064813483884
absolute error = 3.35825114022435e-18
relative error = 1.1557554714068604363951976035562e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.24
y[1] (analytic) = -0.29048508996307938484215056904529
y[1] (numeric) = -0.29048508996307938145595497730679
absolute error = 3.38619559173850e-18
relative error = 1.1657037516689359154489824736157e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.241
y[1] (analytic) = -0.29040217661506339513317449706547
y[1] (numeric) = -0.29040217661506339171898180365852
absolute error = 3.41419269340695e-18
relative error = 1.1756773772162743050110355691227e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.242
y[1] (analytic) = -0.29031887739537274661281649727104
y[1] (numeric) = -0.29031887739537274317057408466415
absolute error = 3.44224241260689e-18
relative error = 1.1856763995126120074193572708942e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.243
y[1] (analytic) = -0.29023519199891460162871298268445
y[1] (numeric) = -0.29023519199891459815836826604043
absolute error = 3.47034471664402e-18
relative error = 1.1957008702986638911010096905301e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.244
y[1] (analytic) = -0.29015112012107815717012160457218
y[1] (numeric) = -0.29015112012107815367162203181959
absolute error = 3.49849957275259e-18
relative error = 1.2057508415934045337944839496280e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.245
y[1] (analytic) = -0.29006666145773533777485901604387
y[1] (numeric) = -0.29006666145773533424815206794846
absolute error = 3.52670694809541e-18
relative error = 1.2158263656953472078711623638478e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.246
y[1] (analytic) = -0.28998181570524148785726493287405
y[1] (numeric) = -0.28998181570524148430229812311014
absolute error = 3.55496680976391e-18
relative error = 1.2259274951838482330052761477674e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.247
y[1] (analytic) = -0.2898965825604360634561119637583
y[1] (numeric) = -0.28989658256043605987283283898014
absolute error = 3.58327912477816e-18
relative error = 1.2360542829204057447701143152622e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.248
y[1] (analytic) = -0.28981096172064332340138135890465
y[1] (numeric) = -0.28981096172064331978973749881774
absolute error = 3.61164386008691e-18
relative error = 1.2462067820499736134485475567872e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.249
y[1] (analytic) = -0.28972495288367301989882550401724
y[1] (numeric) = -0.28972495288367301625876452144959
absolute error = 3.64006098256765e-18
relative error = 1.2563850460022905871201285892405e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.25
y[1] (analytic) = -0.28963855574782108853123866635309
y[1] (numeric) = -0.28963855574782108486270820732646
absolute error = 3.66853045902663e-18
relative error = 1.2665891284932040183958908748152e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.251
y[1] (analytic) = -0.28955177001187033767535818062288
y[1] (numeric) = -0.28955177001187033397830592442399
absolute error = 3.69705225619889e-18
relative error = 1.2768190835260054750423558229767e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.252
y[1] (analytic) = -0.28946459537509113733331894506254
y[1] (numeric) = -0.28946459537509113360769260431423
absolute error = 3.72562634074831e-18
relative error = 1.2870749653927817576362987302617e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.4MB, time=2.73
NO POLE
x[1] = 0.253
y[1] (analytic) = -0.28937703153724210737758478202271
y[1] (numeric) = -0.28937703153724210362333210275505
absolute error = 3.75425267926766e-18
relative error = 1.2973568286757744893081258344448e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.254
y[1] (analytic) = -0.28928907819857080520828090290805
y[1] (numeric) = -0.28928907819857080142534966462945
absolute error = 3.78293123827860e-18
relative error = 1.3076647282487310563767002762756e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.255
y[1] (analytic) = -0.28920073505981441282185240424614
y[1] (numeric) = -0.28920073505981440901019042001437
absolute error = 3.81166198423177e-18
relative error = 1.3179987192782953352674407412085e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.256
y[1] (analytic) = -0.28911200182220042328997441007606
y[1] (numeric) = -0.2891120018222004194495295265693
absolute error = 3.84044488350676e-18
relative error = 1.3283588572253656993931484692537e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.257
y[1] (analytic) = -0.28902287818744732664764016571909
y[1] (numeric) = -0.28902287818744732277836026330685
absolute error = 3.86927990241224e-18
relative error = 1.3387451978465171591063605640362e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.258
y[1] (analytic) = -0.2889333638577652951893540793265
y[1] (numeric) = -0.28893336385776529129118707214059
absolute error = 3.89816700718591e-18
relative error = 1.3491577971953701443321885363533e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.259
y[1] (analytic) = -0.28884345853585686817235740039314
y[1] (numeric) = -0.28884345853585686424525123639854
absolute error = 3.92710616399460e-18
relative error = 1.3595967116240201089536770330747e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.26
y[1] (analytic) = -0.28875316192491763592581491867738
y[1] (numeric) = -0.28875316192491763196971757974311
absolute error = 3.95609733893427e-18
relative error = 1.3700619977844415560784639829256e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.261
y[1] (analytic) = -0.28866247372863692336489176267943
y[1] (numeric) = -0.28866247372863691937975126464935
absolute error = 3.98514049803008e-18
relative error = 1.3805537126299253671583152586618e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.262
y[1] (analytic) = -0.2885713936511984729086500739984
y[1] (numeric) = -0.28857139365119846889441446676201
absolute error = 4.01423560723639e-18
relative error = 1.3910719134165010399248432298746e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.263
y[1] (analytic) = -0.28847992139728112680069603251441
y[1] (numeric) = -0.28847992139728112275731340007756
absolute error = 4.04338263243685e-18
relative error = 1.4016166577043993120220341755995e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.264
y[1] (analytic) = -0.28838805667205950883150840742359
y[1] (numeric) = -0.28838805667205950475892686797919
absolute error = 4.07258153944440e-18
relative error = 1.4121880033594928913577151151103e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.265
y[1] (analytic) = -0.28829579918120470546138051069104
y[1] (numeric) = -0.28829579918120470135954821668973
absolute error = 4.10183229400131e-18
relative error = 1.4227860085547603847854246148700e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.266
y[1] (analytic) = -0.28820314863088494634290813247854
y[1] (numeric) = -0.2882031486308849422117732706993
absolute error = 4.13113486177924e-18
relative error = 1.4334107317717665852797012349590e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.267
y[1] (analytic) = -0.28811010472776628424195674254894
y[1] (numeric) = -0.28811010472776628008146753416966
absolute error = 4.16048920837928e-18
relative error = 1.4440622318021453192325579950828e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.268
y[1] (analytic) = -0.28801666717901327435604194754746
y[1] (numeric) = -0.28801666717901327016614664821552
absolute error = 4.18989529933194e-18
relative error = 1.4547405677490744923753690258915e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.269
y[1] (analytic) = -0.28792283569228965302905790141084
y[1] (numeric) = -0.28792283569228964880970480131354
absolute error = 4.21935310009730e-18
relative error = 1.4654457990288163016227950311676e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.27
y[1] (analytic) = -0.28782860997575901586128907495613
y[1] (numeric) = -0.28782860997575901161242649889124
absolute error = 4.24886257606489e-18
relative error = 1.4761779853721734164276480496960e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.271
y[1] (analytic) = -0.2877339897380854952136415009542
y[1] (numeric) = -0.28773398973808549093521780840031
absolute error = 4.27842369255389e-18
relative error = 1.4869371868260660373700379119511e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.272
y[1] (analytic) = -0.28763897468843443710503032269349
y[1] (numeric) = -0.28763897468843443279699390788042
absolute error = 4.30803641481307e-18
relative error = 1.4977234637550285181131631261834e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.273
y[1] (analytic) = -0.28754356453647307750186118719126
y[1] (numeric) = -0.28754356453647307316416047917042
absolute error = 4.33770070802084e-18
relative error = 1.5085368768427540918812620658761e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.274
y[1] (analytic) = -0.28744775899237121799854373880762
y[1] (numeric) = -0.28744775899237121363112720152227
absolute error = 4.36741653728535e-18
relative error = 1.5193774870936669909016685342300e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.275
y[1] (analytic) = -0.28735155776680190088797618506353
y[1] (numeric) = -0.28735155776680189649079231741908
absolute error = 4.39718386764445e-18
relative error = 1.5302453558344559529257802370117e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.276
y[1] (analytic) = -0.28725496057094208362094062395645
y[1] (numeric) = -0.28725496057094207919393795989066
absolute error = 4.42700266406579e-18
relative error = 1.5411405447156665501870739696277e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.277
y[1] (analytic) = -0.28715796711647331265334954100467
y[1] (numeric) = -0.28715796711647330819647664955784
absolute error = 4.45687289144683e-18
relative error = 1.5520631157132724353971909573710e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.278
y[1] (analytic) = -0.2870605771155823966802846046342
y[1] (numeric) = -0.28706057711558239219349009001931
absolute error = 4.48679451461489e-18
relative error = 1.5630131311302707938931208361780e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.279
y[1] (analytic) = -0.28696279028096207925576961034822
y[1] (numeric) = -0.28696279028096207473900211202104
absolute error = 4.51676749832718e-18
relative error = 1.5739906535982812030642687374132e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.28
y[1] (analytic) = -0.28686460632581171079722014738877
y[1] (numeric) = -0.2868646063258117062504283401179
absolute error = 4.54679180727087e-18
relative error = 1.5849957460791688757993018173083e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.4MB, time=3.20
NO POLE
x[1] = 0.281
y[1] (analytic) = -0.28676602496383791997351328631175
y[1] (numeric) = -0.28676602496383791539664588024863
absolute error = 4.57686740606312e-18
relative error = 1.5960284718666645022686827012957e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.282
y[1] (analytic) = -0.2866670459092552844756213120496
y[1] (numeric) = -0.28666704590925527986862705279855
absolute error = 4.60699425925105e-18
relative error = 1.6070888945879737588037024916140e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.283
y[1] (analytic) = -0.28656766887678700116875425462975
y[1] (numeric) = -0.28656766887678699653158192331784
absolute error = 4.63717233131191e-18
relative error = 1.6181770782054672414761446460557e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.284
y[1] (analytic) = -0.28646789358166555562495669874986
y[1] (numeric) = -0.28646789358166555095755511209684
absolute error = 4.66740158665302e-18
relative error = 1.6292930870183009698179301450543e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.285
y[1] (analytic) = -0.28636771973963339103510508388365
y[1] (numeric) = -0.2863677197396333863374230942718
absolute error = 4.69768198961185e-18
relative error = 1.6404369856640965510287079634966e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.286
y[1] (analytic) = -0.28626714706694357649925243850108
y[1] (numeric) = -0.28626714706694357177123893404502
absolute error = 4.72801350445606e-18
relative error = 1.6516088391206183269485945360053e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.287
y[1] (analytic) = -0.28616617528036047469426822533418
y[1] (numeric) = -0.28616617528036046993587212995066
absolute error = 4.75839609538352e-18
relative error = 1.6628087127074545409833044297246e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.288
y[1] (analytic) = -0.28606480409716040891772170940392
y[1] (numeric) = -0.28606480409716040412889198288151
absolute error = 4.78882972652241e-18
relative error = 1.6740366720877375477365380878935e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.289
y[1] (analytic) = -0.28596303323513232950695799674231
y[1] (numeric) = -0.28596303323513232468764363481115
absolute error = 4.81931436193116e-18
relative error = 1.6852927832698192915323516702319e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.29
y[1] (analytic) = -0.28586086241257847963231662939873
y[1] (numeric) = -0.28586086241257847478246666380015
absolute error = 4.84984996559858e-18
relative error = 1.6965771126090244361635733649115e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.291
y[1] (analytic) = -0.28575829134831506046344336140664
y[1] (numeric) = -0.28575829134831505558300685996275
absolute error = 4.88043650144389e-18
relative error = 1.7078897268093799124151994292963e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.292
y[1] (analytic) = -0.28565531976167289570764648090783
y[1] (numeric) = -0.28565531976167289079657254759111
absolute error = 4.91107393331672e-18
relative error = 1.7192306929253453870750035305113e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.293
y[1] (analytic) = -0.28555194737249809551924978558445
y[1] (numeric) = -0.28555194737249809057748756058727
absolute error = 4.94176222499718e-18
relative error = 1.7306000783635797331968537142590e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.294
y[1] (analytic) = -0.28544817390115271977889506193292
y[1] (numeric) = -0.28544817390115271480639372173704
absolute error = 4.97250134019588e-18
relative error = 1.7419979508847016117037438010442e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.295
y[1] (analytic) = -0.28534399906851544074174766372857
y[1] (numeric) = -0.28534399906851543573845642117454
absolute error = 5.00329124255403e-18
relative error = 1.7534243786050897670798650719617e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.296
y[1] (analytic) = -0.28523942259598220505355953127357
y[1] (numeric) = -0.28523942259598220001942763563017
absolute error = 5.03413189564340e-18
relative error = 1.7648794299986460695315027438281e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.297
y[1] (analytic) = -0.28513444420546689513354474069405
y[1] (numeric) = -0.28513444420546689006852147772761
absolute error = 5.06502326296644e-18
relative error = 1.7763631738986264810205820407414e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.298
y[1] (analytic) = -0.28502906361940198992302342165202
y[1] (numeric) = -0.28502906361940198482705811369578
absolute error = 5.09596530795624e-18
relative error = 1.7878756794994279105603932770069e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.299
y[1] (analytic) = -0.28492328056073922499879063236607
y[1] (numeric) = -0.2849232805607392198718326383894
absolute error = 5.12695799397667e-18
relative error = 1.7994170163584502354371550456650e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.3
y[1] (analytic) = -0.2848170947529502520501675327875
y[1] (numeric) = -0.28481709475295024689216624846516
absolute error = 5.15800128432234e-18
relative error = 1.8109872543979073473077946371758e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.301
y[1] (analytic) = -0.28471050592002729771869295015792
y[1] (numeric) = -0.28471050592002729252959780793928
absolute error = 5.18909514221864e-18
relative error = 1.8225864639066784724127776813680e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.302
y[1] (analytic) = -0.28460351378648382179941418597737
y[1] (numeric) = -0.28460351378648381657917465515547
absolute error = 5.22023953082190e-18
relative error = 1.8342147155422139870762389110487e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.303
y[1] (analytic) = -0.28449611807735517480273666963786
y[1] (numeric) = -0.28449611807735516955130225641859
absolute error = 5.25143441321927e-18
relative error = 1.8458720803323553348534600001083e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.304
y[1] (analytic) = -0.28438831851819925487579282162758
y[1] (numeric) = -0.28438831851819924959311306919871
absolute error = 5.28267975242887e-18
relative error = 1.8575586296772622784496510609882e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.305
y[1] (analytic) = -0.28428011483509716408229124828075
y[1] (numeric) = -0.28428011483509715876831573688094
absolute error = 5.31397551139981e-18
relative error = 1.8692744353513071271196871258642e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.306
y[1] (analytic) = -0.2841715067546538640398081505403
y[1] (numeric) = -0.28417150675465385869448649752809
absolute error = 5.34532165301221e-18
relative error = 1.8810195695049816625125290040292e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.307
y[1] (analytic) = -0.28406249400399883091348359111225
y[1] (numeric) = -0.284062494003998825536765451035
absolute error = 5.37671814007725e-18
relative error = 1.8927941046668274215088697860088e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.308
y[1] (analytic) = -0.28395307631078670976508602772117
y[1] (numeric) = -0.2839530763107867043569210923839
absolute error = 5.40816493533727e-18
relative error = 1.9045981137453965063026087826406e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=30.5MB, alloc=4.4MB, time=3.67
NO POLE
x[1] = 0.309
y[1] (analytic) = -0.2838432534031979682564092849249
y[1] (numeric) = -0.2838432534031979628167472834592
absolute error = 5.43966200146570e-18
relative error = 1.9164316700311655614417464234564e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.31
y[1] (analytic) = -0.2837330250099395497059669031134
y[1] (numeric) = -0.2837330250099395442347576020462
absolute error = 5.47120930106720e-18
relative error = 1.9282948471985367847768524278523e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.311
y[1] (analytic) = -0.28362239086024552549794957089871
y[1] (numeric) = -0.28362239086024551999514277422102
absolute error = 5.50280679667769e-18
relative error = 1.9401877193078134481533060256598e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.312
y[1] (analytic) = -0.28351135068387774684241211610127
y[1] (numeric) = -0.28351135068387774130795766533692
absolute error = 5.53445445076435e-18
relative error = 1.9521103608071781424745741269026e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.313
y[1] (analytic) = -0.283399904211126495885657300951
y[1] (numeric) = -0.28339990421112649031950507522533
absolute error = 5.56615222572567e-18
relative error = 1.9640628465347020495529838318100e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.314
y[1] (analytic) = -0.28328805117281113616978443894762
y[1] (numeric) = -0.28328805117281113057188435505607
absolute error = 5.59790008389155e-18
relative error = 1.9760452517203853929133513347317e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.315
y[1] (analytic) = -0.28317579130028076244037162406432
y[1] (numeric) = -0.28317579130028075681067363654102
absolute error = 5.62969798752330e-18
relative error = 1.9880576519881762508631094225883e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.316
y[1] (analytic) = -0.28306312432541484980126113763023
y[1] (numeric) = -0.28306312432541484413971523881656
absolute error = 5.66154589881367e-18
relative error = 2.0001001233580136661318275766630e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.317
y[1] (analytic) = -0.2829500499806239022154183742896
y[1] (numeric) = -0.28295004998062389652197459440268
absolute error = 5.69344377988692e-18
relative error = 2.0121727422478987221004733698001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.318
y[1] (analytic) = -0.28283656799885010035083540590805
y[1] (numeric) = -0.28283656799885009462544381310921
absolute error = 5.72539159279884e-18
relative error = 2.0242755854759619123420818127831e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.319
y[1] (analytic) = -0.28272267811356794877045108117826
y[1] (numeric) = -0.28272267811356794301306178164139
absolute error = 5.75738929953687e-18
relative error = 2.0364087302625799181409847481675e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.32
y[1] (analytic) = -0.28260838005878492246506033896743
y[1] (numeric) = -0.28260838005878491667562347694741
absolute error = 5.78943686202002e-18
relative error = 2.0485722542324358494637433672939e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.321
y[1] (analytic) = -0.28249367356904211272818619514688
y[1] (numeric) = -0.28249367356904210690665195304788
absolute error = 5.82153424209900e-18
relative error = 2.0607662354166679958159222900644e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.322
y[1] (analytic) = -0.28237855837941487237188864574797
y[1] (numeric) = -0.28237855837941486651820724419173
absolute error = 5.85368140155624e-18
relative error = 2.0729907522549940860065798055137e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.323
y[1] (analytic) = -0.28226303422551346028248551379862
y[1] (numeric) = -0.28226303422551345439660721169266
absolute error = 5.88587830210596e-18
relative error = 2.0852458835978677436381408756669e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.324
y[1] (analytic) = -0.28214710084348368531516105310909
y[1] (numeric) = -0.28214710084348367939703614771493
absolute error = 5.91812490539416e-18
relative error = 2.0975317087086212272713250418156e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.325
y[1] (analytic) = -0.28203075797000754952643890959434
y[1] (numeric) = -0.28203075797000754357601773659562
absolute error = 5.95042117299872e-18
relative error = 2.1098483072656618568616975632782e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.326
y[1] (analytic) = -0.28191400534230389074349682944127
y[1] (numeric) = -0.28191400534230388476072976301185
absolute error = 5.98276706642942e-18
relative error = 2.1221957593646549579902171260730e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.327
y[1] (analytic) = -0.28179684269812902446930129355264
y[1] (numeric) = -0.28179684269812901845413874642468
absolute error = 6.01516254712796e-18
relative error = 2.1345741455207217479400501821739e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.328
y[1] (analytic) = -0.28167926977577738512254104922381
y[1] (numeric) = -0.28167926977577737907493347275575
absolute error = 6.04760757646806e-18
relative error = 2.1469835466706806820870451343198e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.329
y[1] (analytic) = -0.28156128631408216661133930293278
y[1] (numeric) = -0.28156128631408216053123718717732
absolute error = 6.08010211575546e-18
relative error = 2.1594240441752685330923342408385e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.33
y[1] (analytic) = -0.28144289205241596223972513244798
y[1] (numeric) = -0.28144289205241595612707900622
absolute error = 6.11264612622798e-18
relative error = 2.1718957198213980687819998770566e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.331
y[1] (analytic) = -0.28132408673069140394584547218019
y[1] (numeric) = -0.2813240867306913978006059031246
absolute error = 6.14523956905559e-18
relative error = 2.1843986558244347389374476840061e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.332
y[1] (analytic) = -0.28120487008936180087089982282426
y[1] (numeric) = -0.28120487008936179469301741748387
absolute error = 6.17788240534039e-18
relative error = 2.1969329348304569424809718590463e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.333
y[1] (analytic) = -0.28108524186942177725778063485265
y[1] (numeric) = -0.28108524186942177104720603873592
absolute error = 6.21057459611673e-18
relative error = 2.2094986399185817288547625162400e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.334
y[1] (analytic) = -0.28096520181240790967840311533362
y[1] (numeric) = -0.28096520181240790343508701298243
absolute error = 6.24331610235119e-18
relative error = 2.2220958546032565493999506785136e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.335
y[1] (analytic) = -0.28084474966039936358870900885354
y[1] (numeric) = -0.28084474966039935731260212391084
absolute error = 6.27610688494270e-18
relative error = 2.2347246628366167347024387271284e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.336
y[1] (analytic) = -0.28072388515601852921032970602191
y[1] (numeric) = -0.28072388515601852290138280129941
absolute error = 6.30894690472250e-18
relative error = 2.2473851490108021071388243021240e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.4MB, time=4.15
NO POLE
x[1] = 0.337
y[1] (analytic) = -0.28060260804243165673789483713067
y[1] (numeric) = -0.28060260804243165039605871467643
absolute error = 6.34183612245424e-18
relative error = 2.2600773979603395975873193775923e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.338
y[1] (analytic) = -0.28048091806334949087097331402324
y[1] (numeric) = -0.28048091806334948449619881518923
absolute error = 6.37477449883401e-18
relative error = 2.2728014949645172740172321184737e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.339
y[1] (analytic) = -0.28035881496302790466963459010396
y[1] (numeric) = -0.28035881496302789826187259561355
absolute error = 6.40776199449041e-18
relative error = 2.2855575257497890719970952104186e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.34
y[1] (analytic) = -0.28023629848626853273261871668362
y[1] (numeric) = -0.28023629848626852629182014669907
absolute error = 6.44079856998455e-18
relative error = 2.2983455764921711491016315063098e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.341
y[1] (analytic) = -0.28011336837841940369710458351092
y[1] (numeric) = -0.28011336837841939722322039770079
absolute error = 6.47388418581013e-18
relative error = 2.3111657338196834688831210860211e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.342
y[1] (analytic) = -0.27999002438537557205906654238153
y[1] (numeric) = -0.27999002438537556555204773998805
absolute error = 6.50701880239348e-18
relative error = 2.3240180848147939766914072069519e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.343
y[1] (analytic) = -0.27986626625357974931321042514584
y[1] (numeric) = -0.27986626625357974277300804505224
absolute error = 6.54020238009360e-18
relative error = 2.3369027170168797508789405525838e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.344
y[1] (analytic) = -0.27974209373002293441148078125156
y[1] (numeric) = -0.27974209373002292783804590204937
absolute error = 6.57343487920219e-18
relative error = 2.3498197184247016905590956604646e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.345
y[1] (analytic) = -0.27961750656224504353913197515828
y[1] (numeric) = -0.27961750656224503693241571521454
absolute error = 6.60671625994374e-18
relative error = 2.3627691774989179000981500038762e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.346
y[1] (analytic) = -0.27949250449833553920735660054529
y[1] (numeric) = -0.27949250449833553256731011806974
absolute error = 6.64004648247555e-18
relative error = 2.3757511831645894628900633958129e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.347
y[1] (analytic) = -0.2793670872869340586614654862027
y[1] (numeric) = -0.27936708728693405198803997931493
absolute error = 6.67342550688777e-18
relative error = 2.3887658248137108817489251871901e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.348
y[1] (analytic) = -0.27924125467723104160361438784597
y[1] (numeric) = -0.27924125467723103489676109464252
absolute error = 6.70685329320345e-18
relative error = 2.4018131923077617680234035393147e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.349
y[1] (analytic) = -0.27911500641896835722907328082594
y[1] (numeric) = -0.27911500641896835048874347944735
absolute error = 6.74032980137859e-18
relative error = 2.4148933759802763502517410498826e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.35
y[1] (analytic) = -0.27898834226243993057503499081883
y[1] (numeric) = -0.27898834226243992380117999951665
absolute error = 6.77385499130218e-18
relative error = 2.4280064666394273616616305483954e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.351
y[1] (analytic) = -0.27886126195849236818096072307241
y[1] (numeric) = -0.27886126195849236137353190027612
absolute error = 6.80742882279629e-18
relative error = 2.4411525555706459561627214853692e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.352
y[1] (analytic) = -0.27873376525852558305946087565482
y[1] (numeric) = -0.27873376525852557621840962003877
absolute error = 6.84105125561605e-18
relative error = 2.4543317345392204539945495361225e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.353
y[1] (analytic) = -0.27860585191449341897671034840072
y[1] (numeric) = -0.27860585191449341210198809895098
absolute error = 6.87472224944974e-18
relative error = 2.4675440957929529030691721756525e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.354
y[1] (analytic) = -0.27847752167890427404139838687347
y[1] (numeric) = -0.27847752167890426713295662295467
absolute error = 6.90844176391880e-18
relative error = 2.4807897320648055032893947865844e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.355
y[1] (analytic) = -0.2783487743048217236012138296628
y[1] (numeric) = -0.27834877430482171665900407108487
absolute error = 6.94220975857793e-18
relative error = 2.4940687365755980262989211991618e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.356
y[1] (analytic) = -0.2782196095458651424458674577116
y[1] (numeric) = -0.27821960954586513546984126479649
absolute error = 6.97602619291511e-18
relative error = 2.5073812030366953841786319252313e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.357
y[1] (analytic) = -0.27809002715621032631565397611458
y[1] (numeric) = -0.27809002715621031930576294976296
absolute error = 7.00989102635162e-18
relative error = 2.5207272256527141749244980456371e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.358
y[1] (analytic) = -0.27796002689059011271455699195248
y[1] (numeric) = -0.27796002689059010567075277371034
absolute error = 7.04380421824214e-18
relative error = 2.5341068991242771400452146914241e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.359
y[1] (analytic) = -0.27782960850429500102690118621859
y[1] (numeric) = -0.27782960850429499394913545834382
absolute error = 7.07776572787477e-18
relative error = 2.5475203186507581952531288846162e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.36
y[1] (analytic) = -0.27769877175317377193655671375826
y[1] (numeric) = -0.27769877175317376482478119928721
absolute error = 7.11177551447105e-18
relative error = 2.5609675799330469057588726374528e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.361
y[1] (analytic) = -0.27756751639363410614770170237568
y[1] (numeric) = -0.27756751639363409900186816518961
absolute error = 7.14583353718607e-18
relative error = 2.5744487791763649892873980388570e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.362
y[1] (analytic) = -0.27743584218264320240614956086463
y[1] (numeric) = -0.27743584218264319522620980575617
absolute error = 7.17993975510846e-18
relative error = 2.5879640130930594214168379002917e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.363
y[1] (analytic) = -0.27730374887772839482024864569032
y[1] (numeric) = -0.27730374887772838760615451842984
absolute error = 7.21409412726048e-18
relative error = 2.6015133789054514972870714810853e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.364
y[1] (analytic) = -0.27717123623697776948036267738657
y[1] (numeric) = -0.27717123623697776223206606478853
absolute error = 7.24829661259804e-18
relative error = 2.6150969743486807990566683908094e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=38.1MB, alloc=4.4MB, time=4.65
x[1] = 0.365
y[1] (analytic) = -0.27703830401904078037594114043582
y[1] (numeric) = -0.27703830401904077309339397042508
absolute error = 7.28254717001074e-18
relative error = 2.6287148976735766364005492862861e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.366
y[1] (analytic) = -0.27690495198312886460918974446742
y[1] (numeric) = -0.27690495198312885729234398614544
absolute error = 7.31684575832198e-18
relative error = 2.6423672476495752072622328374945e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.367
y[1] (analytic) = -0.2767711798890160569043518700414
y[1] (numeric) = -0.2767711798890160495531595337525
absolute error = 7.35119233628890e-18
relative error = 2.6560541235675960181583488682398e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.368
y[1] (analytic) = -0.27663698749703960341161276908043
y[1] (numeric) = -0.27663698749703959602602590647786
absolute error = 7.38558686260257e-18
relative error = 2.6697756252430293496191605630025e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.369
y[1] (analytic) = -0.27650237456810057480463913816855
y[1] (numeric) = -0.27650237456810056738460984228066
absolute error = 7.42002929588789e-18
relative error = 2.6835318530186399477118133370704e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.37
y[1] (analytic) = -0.27636734086366447867076753245416
y[1] (numeric) = -0.27636734086366447121624793775041
absolute error = 7.45451959470375e-18
relative error = 2.6973229077675857684782480479483e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.371
y[1] (analytic) = -0.27623188614576187119285593877158
y[1] (numeric) = -0.27623188614576186370379822122856
absolute error = 7.48905771754302e-18
relative error = 2.7111488908963966041940038714838e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.372
y[1] (analytic) = -0.27609601017698896812181367883285
y[1] (numeric) = -0.27609601017698896059817005600024
absolute error = 7.52364362283261e-18
relative error = 2.7250099043479994836134190321191e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.373
y[1] (analytic) = -0.27595971272050825503882566693593
y[1] (numeric) = -0.27595971272050824748054839800239
absolute error = 7.55827726893354e-18
relative error = 2.7389060506047693685209965486553e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.374
y[1] (analytic) = -0.27582299354004909690628790158703
y[1] (numeric) = -0.27582299354004908931332928744606
absolute error = 7.59295861414097e-18
relative error = 2.7528374326915872113137580935486e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.375
y[1] (analytic) = -0.27568585239990834690647192674283
y[1] (numeric) = -0.27568585239990833927878431005858
absolute error = 7.62768761668425e-18
relative error = 2.7668041541789272685939136093341e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.376
y[1] (analytic) = -0.27554828906495095456693685604064
y[1] (numeric) = -0.27554828906495094690447262131369
absolute error = 7.66246423472695e-18
relative error = 2.7808063191859593622920367477102e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.377
y[1] (analytic) = -0.27541030330061057317170841240144
y[1] (numeric) = -0.27541030330061056547441998603449
absolute error = 7.69728842636695e-18
relative error = 2.7948440323836952951597042095930e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.378
y[1] (analytic) = -0.2752718948728901664572452957602
y[1] (numeric) = -0.27527189487289015872508514612373
absolute error = 7.73216014963647e-18
relative error = 2.8089173989981360902172761874802e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.379
y[1] (analytic) = -0.27513306354836261459221405339944
y[1] (numeric) = -0.27513306354836260682513469089732
absolute error = 7.76707936250212e-18
relative error = 2.8230265248134492428855238299770e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.38
y[1] (analytic) = -0.2749938090941713194400944904346
y[1] (numeric) = -0.27499380909417131163804846756968
absolute error = 7.80204602286492e-18
relative error = 2.8371715161751580190808294946853e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.381
y[1] (analytic) = -0.27485413127803080910363852242226
y[1] (numeric) = -0.27485413127803080126657843386187
absolute error = 7.83706008856039e-18
relative error = 2.8513524799933793352655648127794e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.382
y[1] (analytic) = -0.27471402986822734175020623783346
y[1] (numeric) = -0.27471402986822733387808472047486
absolute error = 7.87212151735860e-18
relative error = 2.8655695237460704629596646885701e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.383
y[1] (analytic) = -0.2745735046336195087170038052539
y[1] (numeric) = -0.2745735046336195008097735382897
absolute error = 7.90723026696420e-18
relative error = 2.8798227554822919857527912640012e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.384
y[1] (analytic) = -0.27443255534363883689524872863888
y[1] (numeric) = -0.27443255534363882895286243362243
absolute error = 7.94238629501645e-18
relative error = 2.8941122838254944678190789402565e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.385
y[1] (analytic) = -0.27429118176829039039228882376312
y[1] (numeric) = -0.2742911817682903824146992646738
absolute error = 7.97758955908932e-18
relative error = 2.9084382179768545532592591694930e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.386
y[1] (analytic) = -0.27414938367815337147070216016233
y[1] (numeric) = -0.27414938367815336345786214347083
absolute error = 8.01284001669150e-18
relative error = 2.9228006677186024272387667439697e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.387
y[1] (analytic) = -0.27400716084438172076340608536444
y[1] (numeric) = -0.27400716084438171271526846009796
absolute error = 8.04813762526648e-18
relative error = 2.9371997434173991162398154057260e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.388
y[1] (analytic) = -0.27386451303870471676380432205192
y[1] (numeric) = -0.27386451303870470868032197985937
absolute error = 8.08348234219255e-18
relative error = 2.9516355560277091534454244324427e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.389
y[1] (analytic) = -0.27372144003342757459000200398226
y[1] (numeric) = -0.27372144003342756647112787919934
absolute error = 8.11887412478292e-18
relative error = 2.9661082170952417769358182111681e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.39
y[1] (analytic) = -0.27357794160143204402211939301962
y[1] (numeric) = -0.27357794160143203586780646273392
absolute error = 8.15431293028570e-18
relative error = 2.9806178387603659930519076360541e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.391
y[1] (analytic) = -0.27343401751617700681173589749697
y[1] (numeric) = -0.27343401751617699862193718161295
absolute error = 8.18979871588402e-18
relative error = 2.9951645337616019299247168178185e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.392
y[1] (analytic) = -0.27328966755169907326249689133249
y[1] (numeric) = -0.27328966755169906503716545263647
absolute error = 8.22533143869602e-18
relative error = 3.0097484154390900862306861704998e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=41.9MB, alloc=4.4MB, time=5.11
x[1] = 0.393
y[1] (analytic) = -0.2731448914826131780809167138666
y[1] (numeric) = -0.27314489148261316982000565809171
absolute error = 8.26091105577489e-18
relative error = 3.0243695977381044141305566928345e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.394
y[1] (analytic) = -0.272999689084113175496412112265
y[1] (numeric) = -0.27299968908411316719987458815596
absolute error = 8.29653752410904e-18
relative error = 3.0390281952126388249384955991205e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.395
y[1] (analytic) = -0.27285406013197243364960127154749
y[1] (numeric) = -0.27285406013197242531739047092549
absolute error = 8.33221080062200e-18
relative error = 3.0537243230289209161662911452879e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.396
y[1] (analytic) = -0.27270800440254442824790446185224
y[1] (numeric) = -0.27270800440254441987997361967971
absolute error = 8.36793084217253e-18
relative error = 3.0684580969690287849158593849532e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.397
y[1] (analytic) = -0.27256152167276333548748321842745
y[1] (numeric) = -0.27256152167276332708378561287273
absolute error = 8.40369760555472e-18
relative error = 3.0832296334345307228335246261302e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.398
y[1] (analytic) = -0.27241461172014462424055585705783
y[1] (numeric) = -0.27241461172014461580104480955987
absolute error = 8.43951104749796e-18
relative error = 3.0980390494501039551479345640531e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.399
y[1] (analytic) = -0.27226727432278564750712801618032
y[1] (numeric) = -0.27226727432278563903175689151328
absolute error = 8.47537112466704e-18
relative error = 3.1128864626672279663393755460366e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.4
y[1] (analytic) = -0.27211950925936623313017780682054
y[1] (numeric) = -0.27211950925936622461890001315836
absolute error = 8.51127779366218e-18
relative error = 3.1277719913678793258032746340022e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.401
y[1] (analytic) = -0.27197131630914927377333604268811
y[1] (numeric) = -0.27197131630914926522610503166901
absolute error = 8.54723101101910e-18
relative error = 3.1426957544682685942350933963576e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.402
y[1] (analytic) = -0.27182269525198131616010291530403
y[1] (numeric) = -0.27182269525198130757687218209496
absolute error = 8.58323073320907e-18
relative error = 3.1576578715225975283278930050712e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.403
y[1] (analytic) = -0.27167364586829314957364337289542
y[1] (numeric) = -0.27167364586829314095436645625651
absolute error = 8.61927691663891e-18
relative error = 3.1726584627268257503500232451715e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.404
y[1] (analytic) = -0.27152416793910039361620435698177
y[1] (numeric) = -0.27152416793910038496083483933065
absolute error = 8.65536951765112e-18
relative error = 3.1876976489225133436001610584842e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.405
y[1] (analytic) = -0.27137426124600408522719794708995
y[1] (numeric) = -0.27137426124600407653568945456607
absolute error = 8.69150849252388e-18
relative error = 3.2027755516006439912164302834030e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.406
y[1] (analytic) = -0.27122392557119126495899536187375
y[1] (numeric) = -0.27122392557119125623130156440264
absolute error = 8.72769379747111e-18
relative error = 3.2178922929054987708532945263594e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.407
y[1] (analytic) = -0.27107316069743556250947766407418
y[1] (numeric) = -0.27107316069743555374555227543163
absolute error = 8.76392538864255e-18
relative error = 3.2330479956385661809589606955224e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.408
y[1] (analytic) = -0.27092196640809778151038991723982
y[1] (numeric) = -0.27092196640809777271018669511605
absolute error = 8.80020322212377e-18
relative error = 3.2482427832624554567991641628082e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.409
y[1] (analytic) = -0.27077034248712648357054644393051
y[1] (numeric) = -0.2707703424871264747340191899943
absolute error = 8.83652725393621e-18
relative error = 3.2634767799048502586402913626427e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.41
y[1] (analytic) = -0.2706182887190585715729357382516
y[1] (numeric) = -0.27061828871905856270003829821427
absolute error = 8.87289744003733e-18
relative error = 3.2787501103625325909168116096106e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.411
y[1] (analytic) = -0.2704658048890198722247744900082
y[1] (numeric) = -0.27046580488901986331546075368768
absolute error = 8.90931373632052e-18
relative error = 3.2940629001053479627612127232338e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.412
y[1] (analytic) = -0.27031289078272571785956108353009
y[1] (numeric) = -0.27031289078272570891378498491483
absolute error = 8.94577609861526e-18
relative error = 3.3094152752802929707156611312748e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.413
y[1] (analytic) = -0.27015954618648152749017984129443
y[1] (numeric) = -0.27015954618648151850789535860726
absolute error = 8.98228448268717e-18
relative error = 3.3248073627155926757080050235703e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.414
y[1] (analytic) = -0.27000577088718338711210819086661
y[1] (numeric) = -0.27000577088718337809326934662866
absolute error = 9.01883884423795e-18
relative error = 3.3402392899247678781072022085195e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.415
y[1] (analytic) = -0.2698515646723186292557798433873
y[1] (numeric) = -0.26985156467231862020034070448172
absolute error = 9.05543913890558e-18
relative error = 3.3557111851108295071730568561908e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.416
y[1] (analytic) = -0.26969692732996641178715798285391
y[1] (numeric) = -0.26969692732996640269507266058966
absolute error = 9.09208532226425e-18
relative error = 3.3712231771704042623199015324761e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.417
y[1] (analytic) = -0.26954185864879829595557337777913
y[1] (numeric) = -0.26954185864879828682679602795461
absolute error = 9.12877734982452e-18
relative error = 3.3867753956979768778135003509504e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.418
y[1] (analytic) = -0.26938635841807882368788324045304
y[1] (numeric) = -0.26938635841807881452236806341977
absolute error = 9.16551517703327e-18
relative error = 3.4023679709900862943294800113820e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.419
y[1] (analytic) = -0.26923042642766609412800757399112
y[1] (numeric) = -0.26923042642766608492570881471729
absolute error = 9.20229875927383e-18
relative error = 3.4180010340496205582741519466784e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.42
y[1] (analytic) = -0.26907406246801233942090066361435
y[1] (numeric) = -0.26907406246801233018177261174838
absolute error = 9.23912805186597e-18
relative error = 3.4336747165900920731566944485641e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.421
y[1] (analytic) = -0.26891726633016449974001628618028
y[1] (numeric) = -0.26891726633016449046401327611426
absolute error = 9.27600301006602e-18
relative error = 3.4493891510399936779747009967190e-15 %
Correct digits = 16
h = 0.001
memory used=45.7MB, alloc=4.4MB, time=5.61
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.422
y[1] (analytic) = -0.26876003780576479755732613086338
y[1] (numeric) = -0.2687600378057647882444025417965
absolute error = 9.31292358906688e-18
relative error = 3.4651444705471467366358870912519e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.423
y[1] (analytic) = -0.26860237668705131115495184406854
y[1] (numeric) = -0.26860237668705130180506210007048
absolute error = 9.34988974399806e-18
relative error = 3.4809408089830934821491930838634e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.424
y[1] (analytic) = -0.26844428276685854737747203315211
y[1] (numeric) = -0.26844428276685853799057060322634
absolute error = 9.38690142992577e-18
relative error = 3.4967783009475414031515994876582e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.425
y[1] (analytic) = -0.26828575583861801362396648631884
y[1] (numeric) = -0.2682857558386180042000078844659
absolute error = 9.42395860185294e-18
relative error = 3.5126570817728153160480801721397e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.426
y[1] (analytic) = -0.26812679569635878907886079016047
y[1] (numeric) = -0.26812679569635877961779957544114
absolute error = 9.46106121471933e-18
relative error = 3.5285772875283769862895209919441e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.427
y[1] (analytic) = -0.26796740213470809518063545169985
y[1] (numeric) = -0.26796740213470808568242622829837
absolute error = 9.49820922340148e-18
relative error = 3.5445390550253194439082169691387e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.428
y[1] (analytic) = -0.2678075749488918653274645585042
y[1] (numeric) = -0.26780757494889185579206197579133
absolute error = 9.53540258271287e-18
relative error = 3.5605425218209742077404468887677e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.429
y[1] (analytic) = -0.26764731393473531381884993842923
y[1] (numeric) = -0.2676473139347353042462086910253
absolute error = 9.57264124740393e-18
relative error = 3.5765878262234975467670795984344e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.43
y[1] (analytic) = -0.26748661888866350403231770985318
y[1] (numeric) = -0.26748661888866349442239253769112
absolute error = 9.60992517216206e-18
relative error = 3.5926751072964956710477873638205e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.431
y[1] (analytic) = -0.26732548960770191583424504385415
y[1] (numeric) = -0.26732548960770190618699073224241
absolute error = 9.64725431161174e-18
relative error = 3.6088045048637191065722274335497e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.432
y[1] (analytic) = -0.26716392588947701222388589167431
y[1] (numeric) = -0.26716392588947700253925727135975
absolute error = 9.68462862031456e-18
relative error = 3.6249761595137630810480180736327e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.433
y[1] (analytic) = -0.26700192753221680520966536400027
y[1] (numeric) = -0.26700192753221679548761731123103
absolute error = 9.72204805276924e-18
relative error = 3.6411902126048003312229689216197e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.434
y[1] (analytic) = -0.26683949433475142091681338306868
y[1] (numeric) = -0.26683949433475141115730081965692
absolute error = 9.75951256341176e-18
relative error = 3.6574468062693916091508555943038e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.435
y[1] (analytic) = -0.26667662609651366392540916437792
y[1] (numeric) = -0.26667662609651365412838705776258
absolute error = 9.79702210661534e-18
relative error = 3.6737460834192768928971815064945e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.436
y[1] (analytic) = -0.2665133226175395808379090218517
y[1] (numeric) = -0.26651332261753957100333238516117
absolute error = 9.83457663669053e-18
relative error = 3.6900881877502449475369730532892e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.437
y[1] (analytic) = -0.2663495836984690230752309286546
y[1] (numeric) = -0.26634958369846901320305482076933
absolute error = 9.87217610788527e-18
relative error = 3.7064732637470291831324165491180e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.438
y[1] (analytic) = -0.26618540914054620890047020550442
y[1] (numeric) = -0.26618540914054619899064973111951
absolute error = 9.90982047438491e-18
relative error = 3.7229014566882263413335015282641e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.439
y[1] (analytic) = -0.266020798745620284669321649259
y[1] (numeric) = -0.26602079874562027472181195894671
absolute error = 9.94750969031229e-18
relative error = 3.7393729126512758764982174172445e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.44
y[1] (analytic) = -0.26585575231614588530628435677538
y[1] (numeric) = -0.26585575231614587532104064704757
absolute error = 9.98524370972781e-18
relative error = 3.7558877785174741419532629749678e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.441
y[1] (analytic) = -0.26569026965518369400572644254563
y[1] (numeric) = -0.26569026965518368398270395591619
absolute error = 1.002302248662944e-17
relative error = 3.7724462019770048934341405421651e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.442
y[1] (analytic) = -0.26552435056640100115688779340542
y[1] (numeric) = -0.26552435056640099109604181845262
absolute error = 1.006084597495280e-17
relative error = 3.7890483315340353213830938539475e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.443
y[1] (analytic) = -0.26535799485407226249189994968699
y[1] (numeric) = -0.26535799485407225239318582111577
absolute error = 1.009871412857122e-17
relative error = 3.8056943165118441645446131228277e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.444
y[1] (analytic) = -0.2651912023230796564559031495465
y[1] (numeric) = -0.26519120232307964631927624825073
absolute error = 1.013662690129577e-17
relative error = 3.8223843070579784590036018730548e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.445
y[1] (analytic) = -0.26502397277891364079834152183651
y[1] (numeric) = -0.26502397277891363062375727496113
absolute error = 1.017458424687538e-17
relative error = 3.8391184541494845131304735126285e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.446
y[1] (analytic) = -0.26485630602767350838451836281458
y[1] (numeric) = -0.2648563060276734981719322438178
absolute error = 1.021258611899678e-17
relative error = 3.8558969095981116815183483406891e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.447
y[1] (analytic) = -0.26468820187606794222649438318038
y[1] (numeric) = -0.26468820187606793197586191189574
absolute error = 1.025063247128464e-17
relative error = 3.8727198260556325711235413461998e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.448
y[1] (analytic) = -0.26451966013141556973241276441183
y[1] (numeric) = -0.26451966013141555944368950711017
absolute error = 1.028872325730166e-17
relative error = 3.8895873570191858762155301257557e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.449
y[1] (analytic) = -0.26435068060164551617333581712726
y[1] (numeric) = -0.26435068060164550584647738657878
absolute error = 1.032685843054848e-17
relative error = 3.9064996568365929587606462427838e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=49.5MB, alloc=4.4MB, time=6.09
NO POLE
x[1] = 0.45
y[1] (analytic) = -0.26418126309529795736667898923334
y[1] (numeric) = -0.26418126309529794700164104476945
absolute error = 1.036503794446389e-17
relative error = 3.9234568807118299432610430716117e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.451
y[1] (analytic) = -0.26401140742152467157532892792519
y[1] (numeric) = -0.2640114074215246611720671755004
absolute error = 1.040326175242479e-17
relative error = 3.9404591847104478948098635094400e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.452
y[1] (analytic) = -0.26384111339008959062153325718711
y[1] (numeric) = -0.26384111339008958018000344944081
absolute error = 1.044152980774630e-17
relative error = 3.9575067257650926505314223944981e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.453
y[1] (analytic) = -0.26367038081136935021465069129591
y[1] (numeric) = -0.26367038081136933973480862761416
absolute error = 1.047984206368175e-17
relative error = 3.9745996616810225522430629464215e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.454
y[1] (analytic) = -0.26349920949635383949185106495505
y[1] (numeric) = -0.26349920949635382897365259153225
absolute error = 1.051819847342280e-17
relative error = 3.9917381511417191481387134148884e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.455
y[1] (analytic) = -0.26332759925664674977085582208364
y[1] (numeric) = -0.26332759925664673921425683198415
absolute error = 1.055659899009949e-17
relative error = 4.0089223537145155371102608072942e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.456
y[1] (analytic) = -0.26315554990446612251381046795013
y[1] (numeric) = -0.26315554990446611191876690116988
absolute error = 1.059504356678025e-17
relative error = 4.0261524298562540405270254304791e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.457
y[1] (analytic) = -0.2629830612526448965013814532745
y[1] (numeric) = -0.26298306125264488586784929680255
absolute error = 1.063353215647195e-17
relative error = 4.0434285409190039611288364377182e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.458
y[1] (analytic) = -0.26281013311463145421617092412368
y[1] (numeric) = -0.2628101331146314435441062120036
absolute error = 1.067206471212008e-17
relative error = 4.0607508491558741570733545842223e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.459
y[1] (analytic) = -0.26263676530449016743454373789139
y[1] (numeric) = -0.26263676530449015672390255128278
absolute error = 1.071064118660861e-17
relative error = 4.0781195177267497382908337795731e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.46
y[1] (analytic) = -0.26246295763690194202596211338638
y[1] (numeric) = -0.26246295763690193127670058062616
absolute error = 1.074926153276022e-17
relative error = 4.0955347107042156395340319779177e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.461
y[1] (analytic) = -0.26228870992716476195892425204713
y[1] (numeric) = -0.2622887099271647511709985487109
absolute error = 1.078792570333623e-17
relative error = 4.1129965930794127048742303420078e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.462
y[1] (analytic) = -0.2621140219911942325126042375602
y[1] (numeric) = -0.26211402199119422168597058652344
absolute error = 1.082663365103676e-17
relative error = 4.1305053307680283870818325926011e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.463
y[1] (analytic) = -0.26193889364552412269329149267787
y[1] (numeric) = -0.26193889364552411182790616417716
absolute error = 1.086538532850071e-17
relative error = 4.1480610906162663808835625656007e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.464
y[1] (analytic) = -0.26176332470730690685472904481079
y[1] (numeric) = -0.26176332470730689595054835650496
absolute error = 1.090418068830583e-17
relative error = 4.1656640404068984568052918872669e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.465
y[1] (analytic) = -0.26158731499431430552145082600977
y[1] (numeric) = -0.26158731499431429457843114304095
absolute error = 1.094301968296882e-17
relative error = 4.1833143488653761643425997252824e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.466
y[1] (analytic) = -0.26141086432493782541421920824729
y[1] (numeric) = -0.26141086432493781443231694330197
absolute error = 1.098190226494532e-17
relative error = 4.2010121856659493533943956482394e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.467
y[1] (analytic) = -0.26123397251818929867666495146295
y[1] (numeric) = -0.26123397251818928765583656483294
absolute error = 1.102082838663001e-17
relative error = 4.2187577214378759859048577473767e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.468
y[1] (analytic) = -0.26105663939370142130223271964575
y[1] (numeric) = -0.26105663939370141024243471928906
absolute error = 1.105979800035669e-17
relative error = 4.2365511277716740985725897381923e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.469
y[1] (analytic) = -0.26087886477172829076053629928953
y[1] (numeric) = -0.26087886477172827966172524089128
absolute error = 1.109881105839825e-17
relative error = 4.2543925772253818467775263556096e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.47
y[1] (analytic) = -0.26070064847314594282222863487488
y[1] (numeric) = -0.26070064847314593168436112190806
absolute error = 1.113786751296682e-17
relative error = 4.2722822433309371366676377958003e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.471
y[1] (analytic) = -0.26052199031945288758149277759925
y[1] (numeric) = -0.26052199031945287640452546138549
absolute error = 1.117696731621376e-17
relative error = 4.2902203006005471423445493506691e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.472
y[1] (analytic) = -0.26034289013277064467526082639729
y[1] (numeric) = -0.26034289013277063345915040616755
absolute error = 1.121611042022974e-17
relative error = 4.3082069245331439212160228922890e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.473
y[1] (analytic) = -0.26016334773584427769826892436281
y[1] (numeric) = -0.26016334773584426644297214731796
absolute error = 1.125529677704485e-17
relative error = 4.3262422916209037154434840351276e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.474
y[1] (analytic) = -0.25998336295204292781305735900201
y[1] (numeric) = -0.25998336295204291651853102037348
absolute error = 1.129452633862853e-17
relative error = 4.3443265793557497114529489590019e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.475
y[1] (analytic) = -0.25980293560536034655402580131392
y[1] (numeric) = -0.25980293560536033522022674442414
absolute error = 1.133379905688978e-17
relative error = 4.3624599662360154746184910348676e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.476
y[1] (analytic) = -0.25962206552041542782465470650537
y[1] (numeric) = -0.2596220655204154164515398228283
absolute error = 1.137311488367707e-17
relative error = 4.3806426317730466809086838618831e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.477
y[1] (analytic) = -0.25944075252245273908700488820583
y[1] (numeric) = -0.25944075252245272767453111742733
absolute error = 1.141247377077850e-17
relative error = 4.3988747564979530839741119658938e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.4MB, time=6.57
NO POLE
x[1] = 0.478
y[1] (analytic) = -0.25925899643734305174260826834816
y[1] (numeric) = -0.25925899643734304029073259842631
absolute error = 1.145187566992185e-17
relative error = 4.4171565219683728415641412889028e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.479
y[1] (analytic) = -0.2590767970915838707038637964256
y[1] (numeric) = -0.25907679709158385921254326365105
absolute error = 1.149132053277455e-17
relative error = 4.4354881107752610912286112150521e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.48
y[1] (analytic) = -0.25889415431229996315505352462113
y[1] (numeric) = -0.25889415431229995162424521367728
absolute error = 1.153080831094385e-17
relative error = 4.4538697065498112975818097379842e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.481
y[1] (analytic) = -0.25871106792724388650209481933121
y[1] (numeric) = -0.2587110679272438749317558633544
absolute error = 1.157033895597681e-17
relative error = 4.4723014939703633981834849887826e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.482
y[1] (analytic) = -0.2585275377647965155101456848715
y[1] (numeric) = -0.25852753776479650390023326551113
absolute error = 1.160991241936037e-17
relative error = 4.4907836587693995083520258120782e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.483
y[1] (analytic) = -0.25834356365396756862818117165569
y[1] (numeric) = -0.25834356365396755697865251913429
absolute error = 1.164952865252140e-17
relative error = 4.5093163877405891693692953913597e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.484
y[1] (analytic) = -0.25815914542439613349965983887903
y[1] (numeric) = -0.25815914542439612181047223205223
absolute error = 1.168918760682680e-17
relative error = 4.5278998687459117624154579904334e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.485
y[1] (analytic) = -0.25797428290635119165840024071406
y[1] (numeric) = -0.25797428290635117992951100713056
absolute error = 1.172888923358350e-17
relative error = 4.5465342907227985915573242074661e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.486
y[1] (analytic) = -0.25778897593073214240878840523726
y[1] (numeric) = -0.25778897593073213064015492119872
absolute error = 1.176863348403854e-17
relative error = 4.5652198436913648239379589102004e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.487
y[1] (analytic) = -0.25760322432906932588943827674894
y[1] (numeric) = -0.2576032243290693140810179673698
absolute error = 1.180842030937914e-17
relative error = 4.5839567187616970688640408672343e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.488
y[1] (analytic) = -0.2574170279335245453194280948253
y[1] (numeric) = -0.25741702793352453347117843409253
absolute error = 1.184824966073277e-17
relative error = 4.6027451081412010313570415471735e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.489
y[1] (analytic) = -0.25723038657689158842623668734862
y[1] (numeric) = -0.25723038657689157653811519818146
absolute error = 1.188812148916716e-17
relative error = 4.6215852051419864912788510119193e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.49
y[1] (analytic) = -0.2570433000925967480545046598988
y[1] (numeric) = -0.2570433000925967361264689142084
absolute error = 1.192803574569040e-17
relative error = 4.6404772041883484279539646600325e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.491
y[1] (analytic) = -0.256855768314699341954746470255
y[1] (numeric) = -0.25685576831469932998675408900404
absolute error = 1.196799238125096e-17
relative error = 4.6594213008242788721048718740684e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.492
y[1] (analytic) = -0.2566677910778922317511403843493
y[1] (numeric) = -0.2566677910778922197431490376115
absolute error = 1.200799134673780e-17
relative error = 4.6784176917210761553163742521771e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.493
y[1] (analytic) = -0.25647936821750234108752431883343
y[1] (numeric) = -0.25647936821750232903949172585304
absolute error = 1.204803259298039e-17
relative error = 4.6974665746849821574171318178951e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.494
y[1] (analytic) = -0.25629049956949117295072658546427
y[1] (numeric) = -0.25629049956949116086261051471548
absolute error = 1.208811607074879e-17
relative error = 4.7165681486649065079653437578998e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.495
y[1] (analytic) = -0.25610118497045532617036156378152
y[1] (numeric) = -0.25610118497045531404211983302786
absolute error = 1.212824173075366e-17
relative error = 4.7357226137601877163168438683394e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.496
y[1] (analytic) = -0.25591142425762701109422134104222
y[1] (numeric) = -0.25591142425762699892581181739583
absolute error = 1.216840952364639e-17
relative error = 4.7549301712284659555670176742745e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.497
y[1] (analytic) = -0.25572121726887456443839537208847
y[1] (numeric) = -0.25572121726887455222977597206935
absolute error = 1.220861940001912e-17
relative error = 4.7741910234935784308130642614978e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.498
y[1] (analytic) = -0.25553056384270296331125122675753
y[1] (numeric) = -0.25553056384270295106237991635274
absolute error = 1.224887131040479e-17
relative error = 4.7935053741535325328282162846198e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.499
y[1] (analytic) = -0.25533946381825433841041050859466
y[1] (numeric) = -0.25533946381825432612124530331744
absolute error = 1.228916520527722e-17
relative error = 4.8128734279885574809412769677319e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.5
y[1] (analytic) = -0.25514791703530848639185504599842
y[1] (numeric) = -0.25514791703530847406235401094727
absolute error = 1.232950103505115e-17
relative error = 4.8322953909692077319468764060467e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.501
y[1] (analytic) = -0.25495592333428338141029947551388
y[1] (numeric) = -0.25495592333428336904042072543156
absolute error = 1.236987875008232e-17
relative error = 4.8517714702645501084905014570975e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.502
y[1] (analytic) = -0.25476348255623568582996735679053
y[1] (numeric) = -0.25476348255623567341966905612301
absolute error = 1.241029830066752e-17
relative error = 4.8713018742504079179272598791923e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.503
y[1] (analytic) = -0.25457059454286126010490897973695
y[1] (numeric) = -0.25457059454286124765414934269233
absolute error = 1.245075963704462e-17
relative error = 4.8908868125176666002758267971996e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.504
y[1] (analytic) = -0.2543772591364956718280000466329
y[1] (numeric) = -0.25437725913649565933673733724019
absolute error = 1.249126270939271e-17
relative error = 4.9105264958806926483769131006861e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.505
y[1] (analytic) = -0.2541834761801147039477614353992
y[1] (numeric) = -0.25418347618011469141595396756715
absolute error = 1.253180746783205e-17
relative error = 4.9302211363857486928964844264301e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=57.2MB, alloc=4.4MB, time=7.04
x[1] = 0.506
y[1] (analytic) = -0.25398924551733486215214127487704
y[1] (numeric) = -0.25398924551733484957974741245283
absolute error = 1.257239386242421e-17
relative error = 4.9499709473195546618965461650031e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.507
y[1] (analytic) = -0.25379456699241388141840158882775
y[1] (numeric) = -0.25379456699241386880537974565566
absolute error = 1.261302184317209e-17
relative error = 4.9697761432178739710627832329873e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.508
y[1] (analytic) = -0.25359944045025123172825279243258
y[1] (numeric) = -0.25359944045025121907456143241255
absolute error = 1.265369136002003e-17
relative error = 4.9896369398742080106519471153633e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.509
y[1] (analytic) = -0.25340386573638862294738035334666
y[1] (numeric) = -0.25340386573638861025297799049289
absolute error = 1.269440236285377e-17
relative error = 5.0095535543485051284918230597717e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.51
y[1] (analytic) = -0.25320784269701050886850895884244
y[1] (numeric) = -0.2532078426970104961333541573418
absolute error = 1.273515480150064e-17
relative error = 5.0295262049760345909908802672603e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.511
y[1] (analytic) = -0.2530113711789445904171505612623
y[1] (numeric) = -0.2530113711789445776412019355328
absolute error = 1.277594862572950e-17
relative error = 5.0495551113762370340499446539247e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.512
y[1] (analytic) = -0.25281445102966231801918370588898
y[1] (numeric) = -0.2528144510296623052023999206381
absolute error = 1.281678378525088e-17
relative error = 5.0696404944617296082111399768149e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.513
y[1] (analytic) = -0.25261708209727939312941257843231
y[1] (numeric) = -0.25261708209727938027175234871532
absolute error = 1.285766022971699e-17
relative error = 5.0897825764473363673900133754042e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.514
y[1] (analytic) = -0.25241926423055626892025524362191
y[1] (numeric) = -0.25241926423055625602167733490009
absolute error = 1.289857790872182e-17
relative error = 5.1099815808592315381518107850070e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.515
y[1] (analytic) = -0.25222099727889865012971158188604
y[1] (numeric) = -0.25222099727889863719017481008486
absolute error = 1.293953677180118e-17
relative error = 5.1302377325441371621765805180541e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.516
y[1] (analytic) = -0.25202228109235799206776246778569
y[1] (numeric) = -0.25202228109235797908722569935293
absolute error = 1.298053676843276e-17
relative error = 5.1505512576786075029561182568372e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.517
y[1] (analytic) = -0.25182311552163199878035277175889
y[1] (numeric) = -0.25182311552163198575877492372271
absolute error = 1.302157784803618e-17
relative error = 5.1709223837783891340221586571470e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.518
y[1] (analytic) = -0.2516235004180651203701118058119
y[1] (numeric) = -0.25162350041806510730745184583885
absolute error = 1.306265995997305e-17
relative error = 5.1913513397078654310169362348697e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.519
y[1] (analytic) = -0.25142343563364904947296587407049
y[1] (numeric) = -0.2514234356336490363691828205234
absolute error = 1.310378305354709e-17
relative error = 5.2118383556896061813431815558265e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.52
y[1] (analytic) = -0.2512229210210232168897986305738
y[1] (numeric) = -0.25122292102102320374485155256972
absolute error = 1.314494707800408e-17
relative error = 5.2323836633139317068744380997929e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.521
y[1] (analytic) = -0.25102195643347528637231598935575
y[1] (numeric) = -0.2510219564334752731861640068237
absolute error = 1.318615198253205e-17
relative error = 5.2529874955486552780142135852403e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.522
y[1] (analytic) = -0.25082054172494164856227337571087
y[1] (numeric) = -0.25082054172494163533487565944966
absolute error = 1.322739771626121e-17
relative error = 5.2736500867488058411122903004896e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.523
y[1] (analytic) = -0.25061867675000791408322415258457
y[1] (numeric) = -0.25061867675000790081453992432046
absolute error = 1.326868422826411e-17
relative error = 5.2943716726665268369786926551602e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.524
y[1] (analytic) = -0.25041636136390940578394910225782
y[1] (numeric) = -0.25041636136390939247393763470217
absolute error = 1.331001146755565e-17
relative error = 5.3151524904610007312791356508664e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.525
y[1] (analytic) = -0.25021359542253165013272789091476
y[1] (numeric) = -0.2502135954225316367813485078216
absolute error = 1.335137938309316e-17
relative error = 5.3359927787084877067370490113190e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.526
y[1] (analytic) = -0.25001037878241086776161449228505
y[1] (numeric) = -0.25001037878241085436882656850858
absolute error = 1.339278792377647e-17
relative error = 5.3568927774124475485525713818589e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.527
y[1] (analytic) = -0.2498067113007344631598795963414
y[1] (numeric) = -0.24980671130073444972564255789349
absolute error = 1.343423703844791e-17
relative error = 5.3778527280137215644614906496320e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.528
y[1] (analytic) = -0.2496025928353415135157840800047
y[1] (numeric) = -0.24960259283534150004005740411224
absolute error = 1.347572667589246e-17
relative error = 5.3988728734008634119232729117984e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.529
y[1] (analytic) = -0.24939802324472325670584866896274
y[1] (numeric) = -0.24939802324472324318859188412499
absolute error = 1.351725678483775e-17
relative error = 5.4199534579204997891405473103571e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.53
y[1] (analytic) = -0.24919300238802357843078597304384
y[1] (numeric) = -0.24919300238802356487195865908968
absolute error = 1.355882731395416e-17
relative error = 5.4410947273878218831285457716035e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.531
y[1] (analytic) = -0.24898753012503949849726213210095
y[1] (numeric) = -0.24898753012503948489682392024611
absolute error = 1.360043821185484e-17
relative error = 5.4622969290971364362808010892699e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.532
y[1] (analytic) = -0.24878160631622165624465636505481
y[1] (numeric) = -0.24878160631622164260256693795903
absolute error = 1.364208942709578e-17
relative error = 5.4835603118325294357769087385750e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.533
y[1] (analytic) = -0.2485752308226747951159877716149
y[1] (numeric) = -0.248575230822674781432206863439
absolute error = 1.368378090817590e-17
relative error = 5.5048851258786314184673522948571e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=61.0MB, alloc=4.4MB, time=7.52
x[1] = 0.534
y[1] (analytic) = -0.24836840350615824637217979424262
y[1] (numeric) = -0.24836840350615823264666719070551
absolute error = 1.372551260353711e-17
relative error = 5.5262716230314652637600351430235e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.535
y[1] (analytic) = -0.24816112422908641194883380714176
y[1] (numeric) = -0.24816112422908639818154934557743
absolute error = 1.376728446156433e-17
relative error = 5.5477200566093733430010475356464e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.536
y[1] (analytic) = -0.24795339285452924645468435945545
y[1] (numeric) = -0.24795339285452923264558792886988
absolute error = 1.380909643058557e-17
relative error = 5.5692306814640652402779150892575e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.537
y[1] (analytic) = -0.24774520924621273831090966141449
y[1] (numeric) = -0.24774520924621272445996120254245
absolute error = 1.385094845887204e-17
relative error = 5.5908037539917750674676890682887e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.538
y[1] (analytic) = -0.24753657326851939003047196491865
y[1] (numeric) = -0.24753657326851937613763147028052
absolute error = 1.389284049463813e-17
relative error = 5.6124395321444648110469754969487e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.539
y[1] (analytic) = -0.24732748478648869763666355393942
y[1] (numeric) = -0.2473274847864886837018910678979
absolute error = 1.393477248604152e-17
relative error = 5.6341382754411795392839928221523e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.54
y[1] (analytic) = -0.24711794366581762922003512520681
y[1] (numeric) = -0.24711794366581761524329074402356
absolute error = 1.397674438118325e-17
relative error = 5.6559002449794870127368375067041e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.541
y[1] (analytic) = -0.2469079497728611026328844058847
y[1] (numeric) = -0.24690794977286108861412827777695
absolute error = 1.401875612810775e-17
relative error = 5.6777257034470026414049564737363e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.542
y[1] (analytic) = -0.24669750297463246232048392234668
y[1] (numeric) = -0.24669750297463244825967624754377
absolute error = 1.406080767480291e-17
relative error = 5.6996149151330331710668715206040e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.543
y[1] (analytic) = -0.24648660313880395528822790273626
y[1] (numeric) = -0.24648660313880394118532893353607
absolute error = 1.410289896920019e-17
relative error = 5.7215681459403402581370639079231e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.544
y[1] (analytic) = -0.24627525013370720620387936573013
y[1] (numeric) = -0.24627525013370719205884940655554
absolute error = 1.414502995917459e-17
relative error = 5.7435856633969520175272930379741e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.545
y[1] (analytic) = -0.24606344382833369163409951882073
y[1] (numeric) = -0.24606344382833367744689892627594
absolute error = 1.418720059254479e-17
relative error = 5.7656677366681492746163384038993e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.546
y[1] (analytic) = -0.24585118409233521341444266149154
y[1] (numeric) = -0.24585118409233519918503184441833
absolute error = 1.422941081707321e-17
relative error = 5.7878146365685263501891869195148e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.547
y[1] (analytic) = -0.24563847079602437115200086187575
y[1] (numeric) = -0.24563847079602435688034028140977
absolute error = 1.427166058046598e-17
relative error = 5.8100266355741232268737599543060e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.548
y[1] (analytic) = -0.24542530381037503385988374986442
y[1] (numeric) = -0.24542530381037501954593391949129
absolute error = 1.431394983037313e-17
relative error = 5.8323040078347563134913340752859e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.549
y[1] (analytic) = -0.24521168300702281072271984516158
y[1] (numeric) = -0.245211683007022796366441330773
absolute error = 1.435627851438858e-17
relative error = 5.8546470291863782121086376492874e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.55
y[1] (analytic) = -0.24499760825826552099236691547182
y[1] (numeric) = -0.2449976082582655065937203354216
absolute error = 1.439864658005022e-17
relative error = 5.8770559771635855161350903862615e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.551
y[1] (analytic) = -0.24478307943706366301301993784722
y[1] (numeric) = -0.24478307943706364857196596300726
absolute error = 1.444105397483996e-17
relative error = 5.8995311310122270086342513779936e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.552
y[1] (analytic) = -0.24456809641704088237490631521542
y[1] (numeric) = -0.24456809641704086789140566903166
absolute error = 1.448350064618376e-17
relative error = 5.9220727717021174577118260465660e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.553
y[1] (analytic) = -0.24435265907248443919575908025701
y[1] (numeric) = -0.24435265907248442466977253880519
absolute error = 1.452598654145182e-17
relative error = 5.9446811819399318193198044543507e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.554
y[1] (analytic) = -0.24413676727834567452925990009673
y[1] (numeric) = -0.24413676727834565996074829213824
absolute error = 1.456851160795849e-17
relative error = 5.9673566461821012365654081188520e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.555
y[1] (analytic) = -0.24392042091024047589964477771948
y[1] (numeric) = -0.24392042091024046128856898475707
absolute error = 1.461107579296241e-17
relative error = 5.9900994506479204379692202644820e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.556
y[1] (analytic) = -0.24370361984444974196166642961533
y[1] (numeric) = -0.24370361984444972730798738594873
absolute error = 1.465367904366660e-17
relative error = 6.0129098833327534646947632764465e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.557
y[1] (analytic) = -0.24348636395791984628510840389776
y[1] (numeric) = -0.24348636395791983158878709667933
absolute error = 1.469632130721843e-17
relative error = 6.0357882340213101078553656456655e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.558
y[1] (analytic) = -0.24326865312826310026304708902531
y[1] (numeric) = -0.24326865312826308552404455831552
absolute error = 1.473900253070979e-17
relative error = 6.0587347943011255610123460963877e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.559
y[1] (analytic) = -0.24305048723375821514305885028522
y[1] (numeric) = -0.24305048723375820036133618910817
absolute error = 1.478172266117705e-17
relative error = 6.0817498575760763990835534178521e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.56
y[1] (analytic) = -0.24283186615335076318057061937052
y[1] (numeric) = -0.24283186615335074835608897376929
absolute error = 1.482448164560123e-17
relative error = 6.1048337190801066038366825726735e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.561
y[1] (analytic) = -0.2426127897666536379135533516942
y[1] (numeric) = -0.24261278976665362304627392078624
absolute error = 1.486727943090796e-17
relative error = 6.1279866758909923822786922732632e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.562
y[1] (analytic) = -0.24239325795394751355775885653827
y[1] (numeric) = -0.24239325795394749864764289257064
absolute error = 1.491011596396763e-17
relative error = 6.1512090269443115877288313271547e-15 %
Correct digits = 16
h = 0.001
memory used=64.8MB, alloc=4.4MB, time=8.00
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.563
y[1] (analytic) = -0.24217327059618130352170159672666
y[1] (numeric) = -0.24217327059618128856871040513128
absolute error = 1.495299119159538e-17
relative error = 6.1745010730474750647518244529502e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.564
y[1] (analytic) = -0.24195282757497261804058814724089
y[1] (numeric) = -0.24195282757497260304468308668966
absolute error = 1.499590506055123e-17
relative error = 6.1978631168939448573679559290462e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.565
y[1] (analytic) = -0.24173192877260822092839809606243
y[1] (numeric) = -0.24173192877260820588954057852234
absolute error = 1.503885751754009e-17
relative error = 6.2212954630775334750225972504110e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.566
y[1] (analytic) = -0.24151057407204448544732126552615
y[1] (numeric) = -0.24151057407204447036547275631431
absolute error = 1.508184850921184e-17
relative error = 6.2447984181068639721143024521183e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.567
y[1] (analytic) = -0.2412887633569078492937572286031
y[1] (numeric) = -0.24128876335690783416887924644165
absolute error = 1.512487798216145e-17
relative error = 6.2683722904199800106465047271634e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.568
y[1] (analytic) = -0.24106649651149526870008419179632
y[1] (numeric) = -0.24106649651149525353213830886739
absolute error = 1.516794588292893e-17
relative error = 6.2920173903990203359999498095926e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.569
y[1] (analytic) = -0.24084377342077467165140541473095
y[1] (numeric) = -0.24084377342077465644035325673147
absolute error = 1.521105215799948e-17
relative error = 6.3157340303851122907258932003958e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.57
y[1] (analytic) = -0.24062059397038541021648243604545
y[1] (numeric) = -0.2406205939703853949622856822419
absolute error = 1.525419675380355e-17
relative error = 6.3395225246933658512710829144357e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.571
y[1] (analytic) = -0.2403969580466387119920654758459
y[1] (numeric) = -0.24039695804663869669468585912902
absolute error = 1.529737961671688e-17
relative error = 6.3633831896279985544733424035316e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.572
y[1] (analytic) = -0.24017286553651813065983248676654
y[1] (numeric) = -0.240172865536518115319231793706
absolute error = 1.534060069306054e-17
relative error = 6.3873163434976010943354095171685e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.573
y[1] (analytic) = -0.23994831632767999565514942858727
y[1] (numeric) = -0.23994831632767998027128949948623
absolute error = 1.538385992910104e-17
relative error = 6.4113223066305742875875436646880e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.574
y[1] (analytic) = -0.23972331030845386094686544538966
y[1] (numeric) = -0.23972331030845384551970817433927
absolute error = 1.542715727105039e-17
relative error = 6.4354014013906890865063283542106e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.575
y[1] (analytic) = -0.23949784736784295292735772938795
y[1] (numeric) = -0.2394978473678429374568650643218
absolute error = 1.547049266506615e-17
relative error = 6.4595539521927877691185290193172e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.576
y[1] (analytic) = -0.23927192739552461741204196184733
y[1] (numeric) = -0.23927192739552460189817590459584
absolute error = 1.551386605725149e-17
relative error = 6.4837802855186362217348682656108e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.577
y[1] (analytic) = -0.23904555028185076574756532889823
y[1] (numeric) = -0.23904555028185075019028793524298
absolute error = 1.555727739365525e-17
relative error = 6.5080807299329247615001879178056e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.578
y[1] (analytic) = -0.23881871591784832002790021857074
y[1] (numeric) = -0.2388187159178483044271735982987
absolute error = 1.560072662027204e-17
relative error = 6.5324556160994358717084249143199e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.579
y[1] (analytic) = -0.23859142419521965741755781500633
y[1] (numeric) = -0.23859142419521964177334413196408
absolute error = 1.564421368304225e-17
relative error = 6.5569052767973261190823392542920e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.58
y[1] (analytic) = -0.23836367500634305358114191655352
y[1] (numeric) = -0.23836367500634303789340338870133
absolute error = 1.568773852785219e-17
relative error = 6.5814300469376159625485609043226e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.581
y[1] (analytic) = -0.23813546824427312521846441631844
y[1] (numeric) = -0.2381354682442731094871633157844
absolute error = 1.573130110053404e-17
relative error = 6.6060302635797551258832933821971e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.582
y[1] (analytic) = -0.23790680380274127170444499671976
y[1] (numeric) = -0.23790680380274125592954364985368
absolute error = 1.577490134686608e-17
relative error = 6.6307062659484622630732401909469e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.583
y[1] (analytic) = -0.23767768157615611583301870368716
y[1] (numeric) = -0.23767768157615610001447949111461
absolute error = 1.581853921257255e-17
relative error = 6.6554583954505679554696840348717e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.584
y[1] (analytic) = -0.23744810145960394366427618134524
y[1] (numeric) = -0.23744810145960392780206153802133
absolute error = 1.586221464332391e-17
relative error = 6.6802869956921860241396150530901e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.585
y[1] (analytic) = -0.2372180633488491434740624643347
y[1] (numeric) = -0.23721806334884912756813487959793
absolute error = 1.590592758473677e-17
relative error = 6.7051924124959083325455694673587e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.586
y[1] (analytic) = -0.23698756714033464380526134234323
y[1] (numeric) = -0.2369875671403346278555833599692
absolute error = 1.594967798237403e-17
relative error = 6.7301749939182517936960178739677e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.587
y[1] (analytic) = -0.23675661273118235061999342994452
y[1] (numeric) = -0.23675661273118233462652764819958
absolute error = 1.599346578174494e-17
relative error = 6.7552350902672375110171697126243e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.588
y[1] (analytic) = -0.23652520001919358355195719447632
y[1] (numeric) = -0.23652520001919356751466626617126
absolute error = 1.603729092830506e-17
relative error = 6.7803730541200952087655216957334e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.589
y[1] (analytic) = -0.2362933289028495112581433154254
y[1] (numeric) = -0.23629332890284949517698994796888
absolute error = 1.608115336745652e-17
relative error = 6.8055892403412638063746392761777e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.59
y[1] (analytic) = -0.23606099928131158586915387062595
y[1] (numeric) = -0.23606099928131156974410082607806
absolute error = 1.612505304454789e-17
relative error = 6.8308840061003985980575212576712e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.4MB, time=8.48
NO POLE
x[1] = 0.591
y[1] (analytic) = -0.23582821105442197653735896752063
y[1] (numeric) = -0.23582821105442196036836906264626
absolute error = 1.616898990487437e-17
relative error = 6.8562577108906868810696296863115e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.592
y[1] (analytic) = -0.23559496412270400208212456177376
y[1] (numeric) = -0.23559496412270398586916066809594
absolute error = 1.621296389367782e-17
relative error = 6.8817107165472711628428726909874e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.593
y[1] (analytic) = -0.23536125838736256273134633066748
y[1] (numeric) = -0.23536125838736254647437137452069
absolute error = 1.625697495614679e-17
relative error = 6.9072433872658494207213800963753e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.594
y[1] (analytic) = -0.23512709375028457095852559494982
y[1] (numeric) = -0.23512709375028455465750255753315
absolute error = 1.630102303741667e-17
relative error = 6.9328560896215054352801755760754e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.595
y[1] (analytic) = -0.23489247011403938141462441013763
y[1] (numeric) = -0.23489247011403936506951632756799
absolute error = 1.634510808256964e-17
relative error = 6.9585491925876353317501915839326e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.596
y[1] (analytic) = -0.23465738738187921995393807670739
y[1] (numeric) = -0.23465738738187920356470804007256
absolute error = 1.638923003663483e-17
relative error = 6.9843230675551464955831316005812e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.597
y[1] (analytic) = -0.23442184545773961175322444812922
y[1] (numeric) = -0.23442184545773959531983560354083
absolute error = 1.643338884458839e-17
relative error = 7.0101780883518035766542332169920e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.598
y[1] (analytic) = -0.23418584424623980852333054631486
y[1] (numeric) = -0.2341858442462397920457460949614
absolute error = 1.647758445135346e-17
relative error = 7.0361146312617191346967571985699e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.599
y[1] (analytic) = -0.23394938365268321481255812575665
y[1] (numeric) = -0.23394938365268319829074132395632
absolute error = 1.652181680180033e-17
relative error = 7.0621330750451146996419209514921e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.6
y[1] (analytic) = -0.23371246358305781340101096042953
y[1] (numeric) = -0.23371246358305779683492511968307
absolute error = 1.656608584074646e-17
relative error = 7.0882338009582137651690707372448e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.601
y[1] (analytic) = -0.23347508394403658978516776141222
y[1] (numeric) = -0.23347508394403657317477624845565
absolute error = 1.661039151295657e-17
relative error = 7.1144171927733584102645859442607e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.602
y[1] (analytic) = -0.23323724464297795575192576815402
y[1] (numeric) = -0.23323724464297793909719200501133
absolute error = 1.665473376314269e-17
relative error = 7.1406836367993047994494233771823e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.603
y[1] (analytic) = -0.23299894558792617204136119236954
y[1] (numeric) = -0.2329989455879261553422486564053
absolute error = 1.669911253596424e-17
relative error = 7.1670335219017297120216610337619e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.604
y[1] (analytic) = -0.23276018668761177009745383068373
y[1] (numeric) = -0.23276018668761175335392605465566
absolute error = 1.674352777602807e-17
relative error = 7.1934672395239203765411676297506e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.605
y[1] (analytic) = -0.23252096785145197290602430037224
y[1] (numeric) = -0.23252096785145195611804487248369
absolute error = 1.678797942788855e-17
relative error = 7.2199851837076884811846853637372e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.606
y[1] (analytic) = -0.23228128898955111491913349184604
y[1] (numeric) = -0.2322812889895510980866660557984
absolute error = 1.683246743604764e-17
relative error = 7.2465877511144806960314830958745e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.607
y[1] (analytic) = -0.23204115001270106106519497191339
y[1] (numeric) = -0.23204115001270104418820322695845
absolute error = 1.687699174495494e-17
relative error = 7.2732753410466879937002089084895e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.608
y[1] (analytic) = -0.23180055083238162484405221331469
y[1] (numeric) = -0.23180055083238160792249991430691
absolute error = 1.692155229900778e-17
relative error = 7.3000483554691819688711310609984e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.609
y[1] (analytic) = -0.23155949136076098550627366856561
y[1] (numeric) = -0.23155949136076096854012462601438
absolute error = 1.696614904255123e-17
relative error = 7.3269071990310288692271948061975e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.61
y[1] (analytic) = -0.2313179715106961043159198497598
y[1] (numeric) = -0.23131797151069608730513792988155
absolute error = 1.701078191987825e-17
relative error = 7.3538522790874786350053021983081e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.611
y[1] (analytic) = -0.23107599119573313989603772067223
y[1] (numeric) = -0.23107599119573312284058684544254
absolute error = 1.705545087522969e-17
relative error = 7.3808840057221063626275551877550e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.612
y[1] (analytic) = -0.23083355033010786265613885326812
y[1] (numeric) = -0.23083355033010784555598300047372
absolute error = 1.710015585279440e-17
relative error = 7.4080027917692208600454866620822e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.613
y[1] (analytic) = -0.2305906488287460683009189475569
y[1] (numeric) = -0.23059064882874605115602215084764
absolute error = 1.714489679670926e-17
relative error = 7.4352090528364607851155507150238e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.614
y[1] (analytic) = -0.23034728660726399041947746163658
y[1] (numeric) = -0.23034728660726397322980381057732
absolute error = 1.718967365105926e-17
relative error = 7.4625032073276371218025548661226e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.615
y[1] (analytic) = -0.23010346358196871215429724774809
y[1] (numeric) = -0.23010346358196869491981088787049
absolute error = 1.723448635987760e-17
relative error = 7.4898856764658117235040225944420e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.616
y[1] (analytic) = -0.22985917966985857694924524020123
y[1] (numeric) = -0.22985917966985855966991037305551
absolute error = 1.727933486714572e-17
relative error = 7.5173568843165754762053108045824e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.617
y[1] (analytic) = -0.22961443478862359837585639214223
y[1] (numeric) = -0.22961443478862358105163727534888
absolute error = 1.732421911679335e-17
relative error = 7.5449172578115677287802493817785e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.618
y[1] (analytic) = -0.22936922885664586903716421030618
y[1] (numeric) = -0.22936922885664585166802515760756
absolute error = 1.736913905269862e-17
relative error = 7.5725672267722572060944948536001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.4MB, time=8.96
NO POLE
x[1] = 0.619
y[1] (analytic) = -0.22912356179299996854834239013401
y[1] (numeric) = -0.22912356179299995113424777144587
absolute error = 1.741409461868814e-17
relative error = 7.6003072239339480694551518334846e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.62
y[1] (analytic) = -0.2288774335174533705934232079325
y[1] (numeric) = -0.2288774335174533531343374493955
absolute error = 1.745908575853700e-17
relative error = 7.6281376849699919675417076700477e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.621
y[1] (analytic) = -0.22863084395046684905735948211543
y[1] (numeric) = -0.22863084395046683155324706614657
absolute error = 1.750411241596886e-17
relative error = 7.6560590485162829931902179803543e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.622
y[1] (analytic) = -0.22838379301319488323269807198253
y[1] (numeric) = -0.22838379301319486568352353732643
absolute error = 1.754917453465610e-17
relative error = 7.6840717561960255666010426358996e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.623
y[1] (analytic) = -0.22813628062748606210013403996944
y[1] (numeric) = -0.22813628062748604450586198174967
absolute error = 1.759427205821977e-17
relative error = 7.7121762526446643778264075276074e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.624
y[1] (analytic) = -0.22788830671588348768221576183561
y[1] (numeric) = -0.2278883067158834700428108316059
absolute error = 1.763940493022971e-17
relative error = 7.7403729855351410227863918140332e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.625
y[1] (analytic) = -0.22763987120162517746947242884494
y[1] (numeric) = -0.22763987120162515978489933464028
absolute error = 1.768457309420466e-17
relative error = 7.7686624056034018037630829226711e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.626
y[1] (analytic) = -0.22739097400864446591823654663626
y[1] (numeric) = -0.22739097400864444818846005302402
absolute error = 1.772977649361224e-17
relative error = 7.7970449666741069085821668201133e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.627
y[1] (analytic) = -0.22714161506157040501943519717546
y[1] (numeric) = -0.2271416150615703872444201253064
absolute error = 1.777501507186906e-17
relative error = 7.8255211256866580560472197677832e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.628
y[1] (analytic) = -0.22689179428572816393762499292626
y[1] (numeric) = -0.22689179428572814611733622058545
absolute error = 1.782028877234081e-17
relative error = 7.8540913427214820349377429571486e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.629
y[1] (analytic) = -0.22664151160713942771954681617176
y[1] (numeric) = -0.22664151160713940985394927782943
absolute error = 1.786559753834233e-17
relative error = 7.8827560810265732128513241645951e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.63
y[1] (analytic) = -0.22639076695252279507147760126211
y[1] (numeric) = -0.2263907669525227771605362881245
absolute error = 1.791094131313761e-17
relative error = 7.9115158070442760471158497631254e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.631
y[1] (analytic) = -0.22613956024929417520465758345378
y[1] (numeric) = -0.22613956024929415724833754351387
absolute error = 1.795632003993991e-17
relative error = 7.9403709904383946051706759752690e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.632
y[1] (analytic) = -0.22588789142556718374807260494109
y[1] (numeric) = -0.22588789142556716574633894302922
absolute error = 1.800173366191187e-17
relative error = 7.9693221041215752276323523460099e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.633
y[1] (analytic) = -0.22563576041015353772787223665991
y[1] (numeric) = -0.22563576041015351968069011449443
absolute error = 1.804718212216548e-17
relative error = 7.9983696242829080042330746037716e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.634
y[1] (analytic) = -0.22538316713256344961270564346579
y[1] (numeric) = -0.22538316713256343152004027970357
absolute error = 1.809266536376222e-17
relative error = 8.0275140304158874842400093759291e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.635
y[1] (analytic) = -0.22513011152300602042425829035139
y[1] (numeric) = -0.22513011152300600228607496063824
absolute error = 1.813818332971315e-17
relative error = 8.0567558053466388985861345998194e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.636
y[1] (analytic) = -0.22487659351238963191227375847098
y[1] (numeric) = -0.22487659351238961372853779549216
absolute error = 1.818373596297882e-17
relative error = 8.0860954352623553680324775762729e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.637
y[1] (analytic) = -0.2246226130323223377933461118816
y[1] (numeric) = -0.22462261303232231956402290541201
absolute error = 1.822932320646959e-17
relative error = 8.1155334097402116311290124683248e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.638
y[1] (analytic) = -0.2243681700151122540527694290873
y[1] (numeric) = -0.22436817001511223577782442604184
absolute error = 1.827494500304546e-17
relative error = 8.1450702217763581595859548117643e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.639
y[1] (analytic) = -0.2241132643937679483087322876881
y[1] (numeric) = -0.2241132643937679299881309921718
absolute error = 1.832060129551630e-17
relative error = 8.1747063678153946547269197145060e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.64
y[1] (analytic) = -0.22385789610199882823814616568183
y[1] (numeric) = -0.22385789610199880987185413903997
absolute error = 1.836629202664186e-17
relative error = 8.2044423477800510292431673107280e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.641
y[1] (analytic) = -0.22360206507421552906339789924817
y[1] (numeric) = -0.22360206507421551065138076011635
absolute error = 1.841201713913182e-17
relative error = 8.2342786651011950735520488144539e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.642
y[1] (analytic) = -0.22334577124553030009931751415584
y[1] (numeric) = -0.22334577124553028164154093850999
absolute error = 1.845777657564585e-17
relative error = 8.2642158267481572685475004988851e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.643
y[1] (analytic) = -0.22308901455175739035965392627564
y[1] (numeric) = -0.22308901455175737185608364748184
absolute error = 1.850357027879380e-17
relative error = 8.2942543432594303751055686823870e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.644
y[1] (analytic) = -0.2228317949294134332223521860517
y[1] (numeric) = -0.22283179492941341467295399491612
absolute error = 1.854939819113558e-17
relative error = 8.3243947287735506703882796291400e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.645
y[1] (analytic) = -0.22257411231571783015292712218143
y[1] (numeric) = -0.22257411231571781155766686700005
absolute error = 1.859526025518138e-17
relative error = 8.3546375010604556582524726454219e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.646
y[1] (analytic) = -0.22231596664859313348522942117631
y[1] (numeric) = -0.22231596664859311484407300778465
absolute error = 1.864115641339166e-17
relative error = 8.3849831815530670615692437178336e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=76.2MB, alloc=4.4MB, time=9.46
x[1] = 0.647
y[1] (analytic) = -0.22205735786666542825890136192368
y[1] (numeric) = -0.22205735786666540957181475374641
absolute error = 1.868708660817727e-17
relative error = 8.4154322953792644021307544975957e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.648
y[1] (analytic) = -0.22179828590926471311282060783865
y[1] (numeric) = -0.2217982859092646943797698259392
absolute error = 1.873305078189945e-17
relative error = 8.4459853713941410066548835772350e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.649
y[1] (analytic) = -0.2215387507164252802338316436871
y[1] (numeric) = -0.22153875071642526145478276681711
absolute error = 1.877904887686999e-17
relative error = 8.4766429422126725219996723677092e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.65
y[1] (analytic) = -0.22127875222888609436006562967117
y[1] (numeric) = -0.22127875222888607553498479431995
absolute error = 1.882508083535122e-17
relative error = 8.5074055442426535912545751213697e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.651
y[1] (analytic) = -0.22101829038809117083815063189875
y[1] (numeric) = -0.22101829038809115196700403234261
absolute error = 1.887114659955614e-17
relative error = 8.5382737177180465741282952786495e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.652
y[1] (analytic) = -0.22075736513618995273361537590473
y[1] (numeric) = -0.22075736513618993381636926425629
absolute error = 1.891724611164844e-17
relative error = 8.5692480067326338987623575540230e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.653
y[1] (analytic) = -0.22049597641603768699379085845437
y[1] (numeric) = -0.22049597641603766803041154471177
absolute error = 1.896337931374260e-17
relative error = 8.6003289592740641779235998400906e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.654
y[1] (analytic) = -0.22023412417119579966251534243551
y[1] (numeric) = -0.22023412417119578065296919453157
absolute error = 1.900954614790394e-17
relative error = 8.6315171272582377974192989985300e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.655
y[1] (analytic) = -0.21997180834593227014594945023568
y[1] (numeric) = -0.21997180834593225109020289408696
absolute error = 1.905574655614872e-17
relative error = 8.6628130665640817483006426704703e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.656
y[1] (analytic) = -0.21970902888522200452880926260082
y[1] (numeric) = -0.21970902888522198542682878215667
absolute error = 1.910198048044415e-17
relative error = 8.6942173370686547348930937470958e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.657
y[1] (analytic) = -0.21944578573474720794032652258311
y[1] (numeric) = -0.21944578573474718879207865987455
absolute error = 1.914824786270856e-17
relative error = 8.7257305026827007678190026891755e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.658
y[1] (analytic) = -0.21918207884089775596924623780401
y[1] (numeric) = -0.21918207884089773677469759299264
absolute error = 1.919454864481137e-17
relative error = 8.7573531313864923006471679283171e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.659
y[1] (analytic) = -0.21891790815077156512717316888528
y[1] (numeric) = -0.21891790815077154588629040031209
absolute error = 1.924088276857319e-17
relative error = 8.7890857952661176472174307396831e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.66
y[1] (analytic) = -0.2186532736121749623595798875322
y[1] (numeric) = -0.21865327361217494307232971176627
absolute error = 1.928725017576593e-17
relative error = 8.8209290705501631263458374387906e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.661
y[1] (analytic) = -0.21838817517362305360379028438894
y[1] (numeric) = -0.2183881751736230342701394762761
absolute error = 1.933365080811284e-17
relative error = 8.8528835376467582413518695768472e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.662
y[1] (analytic) = -0.21812261278434009139325360442501
y[1] (numeric) = -0.21812261278434007201316899713647
absolute error = 1.938008460728854e-17
relative error = 8.8849497811810161002657221886765e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.663
y[1] (analytic) = -0.21785658639425984150742528625152
y[1] (numeric) = -0.21785658639425982208087377133234
absolute error = 1.942655151491918e-17
relative error = 8.9171283900329383397399393725802e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.664
y[1] (analytic) = -0.21759009595402594866657208140547
y[1] (numeric) = -0.21759009595402592919352060882303
absolute error = 1.947305147258244e-17
relative error = 8.9494199573756568981190795807579e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.665
y[1] (analytic) = -0.21732314141499230127082013027885
y[1] (numeric) = -0.21732314141499228175123570847126
absolute error = 1.951958442180759e-17
relative error = 8.9818250807141184294887318569499e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.666
y[1] (analytic) = -0.21705572272922339518276587300422
y[1] (numeric) = -0.21705572272922337561661556892855
absolute error = 1.956615030407567e-17
relative error = 9.0143443619242444990737409664216e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.667
y[1] (analytic) = -0.21678783984949469655297087623885
y[1] (numeric) = -0.21678783984949467694022181541946
absolute error = 1.961274906081939e-17
relative error = 9.0469784072923888649301604084809e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.668
y[1] (analytic) = -0.2165194927292930036876628604148
y[1] (numeric) = -0.21651949272929298402828222699143
absolute error = 1.965938063342337e-17
relative error = 9.0797278275553824963513092887624e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.669
y[1] (analytic) = -0.21625068132281680795796641663873
y[1] (numeric) = -0.21625068132281678825192145341465
absolute error = 1.970604496322408e-17
relative error = 9.1125932379408772299245451505432e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.67
y[1] (analytic) = -0.21598140558497665374998810803443
y[1] (numeric) = -0.21598140558497663399724611652443
absolute error = 1.975274199151000e-17
relative error = 9.1455752582082331987546070531348e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.671
y[1] (analytic) = -0.21571166547139549745508185691864
y[1] (numeric) = -0.21571166547139547765561019739703
absolute error = 1.979947165952161e-17
relative error = 9.1786745126897757806112251638944e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.672
y[1] (analytic) = -0.21544146093840906549962172678752
y[1] (numeric) = -0.21544146093840904565338781833596
absolute error = 1.984623390845156e-17
relative error = 9.2118916303325895753575369115755e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.673
y[1] (analytic) = -0.21517079194306621141361041666386
y[1] (numeric) = -0.21517079194306619152058173721919
absolute error = 1.989302867944467e-17
relative error = 9.2452272447406933064836964469406e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.674
y[1] (analytic) = -0.21489965844312927193745299491399
y[1] (numeric) = -0.214899658443129251997597081316
absolute error = 1.993985591359799e-17
relative error = 9.2786819942177078912017284948258e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.675
memory used=80.1MB, alloc=4.4MB, time=9.94
y[1] (analytic) = -0.21462806039707442216622661018564
y[1] (numeric) = -0.21462806039707440217951105822472
absolute error = 1.998671555196092e-17
relative error = 9.3122565218100239201650032306806e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.676
y[1] (analytic) = -0.21435599776409202973077812864253
y[1] (numeric) = -0.21435599776409200969717059310729
absolute error = 2.003360753553524e-17
relative error = 9.3459514753504049034566954607095e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.677
y[1] (analytic) = -0.21408347050408700801498285917772
y[1] (numeric) = -0.21408347050408698793445105390247
absolute error = 2.008053180527525e-17
relative error = 9.3797675075021255086490342436059e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.678
y[1] (analytic) = -0.21381047857767916840849874177235
y[1] (numeric) = -0.2138104785776791482810104396846
absolute error = 2.012748830208775e-17
relative error = 9.4137052758035252352371722870369e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.679
y[1] (analytic) = -0.21353702194620357159435158863038
y[1] (numeric) = -0.21353702194620355141987462179823
absolute error = 2.017447696683215e-17
relative error = 9.4477654427131190264153607761251e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.68
y[1] (analytic) = -0.21326310057171087787068818315927
y[1] (numeric) = -0.2132631005717108576491904428387
absolute error = 2.022149774032057e-17
relative error = 9.4819486756552061688888179265568e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.681
y[1] (analytic) = -0.2129887144169676965060352582816
y[1] (numeric) = -0.21298871441696767623748469496373
absolute error = 2.026855056331787e-17
relative error = 9.5162556470659558209284195080540e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.682
y[1] (analytic) = -0.21271386344545693412740359295148
y[1] (numeric) = -0.21271386344545691381176821640974
absolute error = 2.031563537654174e-17
relative error = 9.5506870344400366365778286377113e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.683
y[1] (analytic) = -0.21243854762137814214057768410991
y[1] (numeric) = -0.21243854762137812177782556344715
absolute error = 2.036275212066276e-17
relative error = 9.5852435203777551224856572198955e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.684
y[1] (analytic) = -0.21216276690964786318193267064519
y[1] (numeric) = -0.21216276690964784277203193434069
absolute error = 2.040990073630450e-17
relative error = 9.6199257926327424424833615833581e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.685
y[1] (analytic) = -0.21188652127589997660112140622462
y[1] (numeric) = -0.21188652127589995614404024218107
absolute error = 2.045708116404355e-17
relative error = 9.6547345441601448785700600650054e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.686
y[1] (analytic) = -0.21160981068648604297397579913271
y[1] (numeric) = -0.21160981068648602246968245472307
absolute error = 2.050429334440964e-17
relative error = 9.6896704731654003146400092898497e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.687
y[1] (analytic) = -0.21133263510847564764496775948535
y[1] (numeric) = -0.21133263510847562709343054159969
absolute error = 2.055153721788566e-17
relative error = 9.7247342831535183880128159587752e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.688
y[1] (analytic) = -0.21105499450965674329857631738929
y[1] (numeric) = -0.21105499450965672269976359248151
absolute error = 2.059881272490778e-17
relative error = 9.7599266829789659083834032879220e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.689
y[1] (analytic) = -0.21077688885853599155890869977878
y[1] (numeric) = -0.21077688885853597091278889391331
absolute error = 2.064611980586547e-17
relative error = 9.7952483868960704723488525131174e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.69
y[1] (analytic) = -0.21049831812433910361692437878628
y[1] (numeric) = -0.21049831812433908292346597768465
absolute error = 2.069345840110163e-17
relative error = 9.8307001146100490922810639267901e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.691
y[1] (analytic) = -0.21021928227701117988461233058891
y[1] (numeric) = -0.2102192822770111591437838796763
absolute error = 2.074082845091261e-17
relative error = 9.8662825913285652754777448021990e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.692
y[1] (analytic) = -0.20993978128721704867547297071645
y[1] (numeric) = -0.20993978128721702788724307516812
absolute error = 2.078822989554833e-17
relative error = 9.9019965478139218195248260143578e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.693
y[1] (analytic) = -0.20965981512634160391065745980805
y[1] (numeric) = -0.20965981512634158307499478459575
absolute error = 2.083566267521230e-17
relative error = 9.9378427204358022126857704329003e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.694
y[1] (analytic) = -0.20937938376649014185011830276214
y[1] (numeric) = -0.2093793837664901209669915727004
absolute error = 2.088312673006174e-17
relative error = 9.9738218512246636741068150608756e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.695
y[1] (analytic) = -0.20909848718048869684812639413576
y[1] (numeric) = -0.20909848718048867591750439392811
absolute error = 2.093062200020765e-17
relative error = 1.0009934687925718623881914020295e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.696
y[1] (analytic) = -0.20881712534188437613251089351414
y[1] (numeric) = -0.20881712534188435515436246779933
absolute error = 2.097814842571481e-17
relative error = 1.0046181984053502986731560592334e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.697
y[1] (analytic) = -0.20853529822494569360697954638802
y[1] (numeric) = -0.20853529822494567258127359978609
absolute error = 2.102570594660193e-17
relative error = 1.0082564498947144839945639838912e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.698
y[1] (analytic) = -0.20825300580466290267587829884174
y[1] (numeric) = -0.20825300580466288160258379600001
absolute error = 2.107329450284173e-17
relative error = 1.0119082997826236901364337675701e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.699
y[1] (analytic) = -0.20797024805674832809075028807019
y[1] (numeric) = -0.20797024805674830696983625370926
absolute error = 2.112091403436093e-17
relative error = 1.0155738251847311513906479490134e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.7
y[1] (analytic) = -0.20768702495763669681805552540468
y[1] (numeric) = -0.20768702495763667564949104436424
absolute error = 2.116856448104044e-17
relative error = 1.0192531038161066068335258349387e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.701
y[1] (analytic) = -0.20740333648448546792741382413418
y[1] (numeric) = -0.2074033364844854467111680414189
absolute error = 2.121624578271528e-17
relative error = 1.0229462139970122025765349609587e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.702
y[1] (analytic) = -0.20711918261517516149973476096076
y[1] (numeric) = -0.20711918261517514023577688178596
absolute error = 2.126395787917480e-17
relative error = 1.0266532346587600493930697241865e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.703
y[1] (analytic) = -0.20683456332830968655459969742079
y[1] (numeric) = -0.20683456332830966524289898725809
absolute error = 2.131170071016270e-17
relative error = 1.0303742453496283136940286107469e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=83.9MB, alloc=4.4MB, time=10.43
NO POLE
x[1] = 0.704
y[1] (analytic) = -0.20654947860321666799626212603887
y[1] (numeric) = -0.20654947860321664663678791066181
absolute error = 2.135947421537706e-17
relative error = 1.0341093262408468438789120138109e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.705
y[1] (analytic) = -0.20626392841994777257763384535587
y[1] (numeric) = -0.20626392841994775117035551088541
absolute error = 2.140727833447046e-17
relative error = 1.0378585581326571569099368487065e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.706
y[1] (analytic) = -0.20597791275927903388162570828447
y[1] (numeric) = -0.20597791275927901242651270123444
absolute error = 2.145511300705003e-17
relative error = 1.0416220224604400160945998448067e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.707
y[1] (analytic) = -0.20569143160271117631921292949497
y[1] (numeric) = -0.20569143160271115481623475681742
absolute error = 2.150297817267755e-17
relative error = 1.0453998013009173728489089429529e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.708
y[1] (analytic) = -0.20540448493246993814359617971784
y[1] (numeric) = -0.20540448493246991659272240884832
absolute error = 2.155087377086952e-17
relative error = 1.0491919773784257881789082219698e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.709
y[1] (analytic) = -0.20511707273150639347983093796721
y[1] (numeric) = -0.20511707273150637188103119687003
absolute error = 2.159879974109718e-17
relative error = 1.0529986340712613470386481765049e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.71
y[1] (analytic) = -0.20482919498349727336929881673911
y[1] (numeric) = -0.20482919498349725172254279395247
absolute error = 2.164675602278664e-17
relative error = 1.0568198554181048710944850094868e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.711
y[1] (analytic) = -0.2045408516728452858283958202183
y[1] (numeric) = -0.20454085167284526413365326489934
absolute error = 2.169474255531896e-17
relative error = 1.0606557261245206943537267169530e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.712
y[1] (analytic) = -0.20425204278467943492081374143665
y[1] (numeric) = -0.20425204278467941317805446340648
absolute error = 2.174275927803017e-17
relative error = 1.0645063315695295387763769427144e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.713
y[1] (analytic) = -0.2039627683048553388427921511631
y[1] (numeric) = -0.20396276830485531705198602095171
absolute error = 2.179080613021139e-17
relative error = 1.0683717578122643724960266874240e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.714
y[1] (analytic) = -0.20367302821995554702071967906737
y[1] (numeric) = -0.20367302821995552518183662795851
absolute error = 2.183888305110886e-17
relative error = 1.0722520915987010545564083519116e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.715
y[1] (analytic) = -0.2033828225172898562204645363875
y[1] (numeric) = -0.20338282251728983433347455646342
absolute error = 2.188698997992408e-17
relative error = 1.0761474203684746573413556797245e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.716
y[1] (analytic) = -0.20309215118489562566781547894082
y[1] (numeric) = -0.20309215118489560373268862312701
absolute error = 2.193512685581381e-17
relative error = 1.0800578322617703297974104017933e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.717
y[1] (analytic) = -0.20280101421153809117941565985042
y[1] (numeric) = -0.20280101421153806919612204196024
absolute error = 2.198329361789018e-17
relative error = 1.0839834161263020967069712960217e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.718
y[1] (analytic) = -0.20250941158671067830357307281032
y[1] (numeric) = -0.20250941158671065627208286758955
absolute error = 2.203149020522077e-17
relative error = 1.0879242615243738898540412549143e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.719
y[1] (analytic) = -0.20221734330063531447033253908303
y[1] (numeric) = -0.20221734330063529239061598225434
absolute error = 2.207971655682869e-17
relative error = 1.0918804587400254533197060893976e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.72
y[1] (analytic) = -0.20192480934426274015019544471023
y[1] (numeric) = -0.20192480934426271802222283301763
absolute error = 2.212797261169260e-17
relative error = 1.0958520987862613438079270492749e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.721
y[1] (analytic) = -0.20163180970927281902087468861998
y[1] (numeric) = -0.20163180970927279684461637987313
absolute error = 2.217625830874685e-17
relative error = 1.0998392734123731344241203286661e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.722
y[1] (analytic) = -0.2013383443880748471414735574301
y[1] (numeric) = -0.20133834438807482491689997054859
absolute error = 2.222457358688151e-17
relative error = 1.1038420751113446896773817528874e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.723
y[1] (analytic) = -0.20104441337380786113347849877665
y[1] (numeric) = -0.20104441337380783886056011383419
absolute error = 2.227291838494246e-17
relative error = 1.1078605971273501629402002911414e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.724
y[1] (analytic) = -0.20075001666034094536795702193589
y[1] (numeric) = -0.20075001666034092304666438020438
absolute error = 2.232129264173151e-17
relative error = 1.1118949334633445234045381402694e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.725
y[1] (analytic) = -0.20045515424227353815835321235721
y[1] (numeric) = -0.20045515424227351578865691635087
absolute error = 2.236969629600634e-17
relative error = 1.1159451788887374435873530460456e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.726
y[1] (analytic) = -0.20015982611493573695827460548205
y[1] (numeric) = -0.20015982611493571454014531900132
absolute error = 2.241812928648073e-17
relative error = 1.1200114289471752489046737952121e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.727
y[1] (analytic) = -0.19986403227438860256366542488623
y[1] (numeric) = -0.19986403227438858009707387306168
absolute error = 2.246659155182455e-17
relative error = 1.1240937799644058945286276359326e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.728
y[1] (analytic) = -0.19956777271742446231876245035201
y[1] (numeric) = -0.19956777271742443980367941968818
absolute error = 2.251508303066383e-17
relative error = 1.1281923290562442363422870688922e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.729
y[1] (analytic) = -0.1992710474415672123252310429471
y[1] (numeric) = -0.19927104744156718976162738136623
absolute error = 2.256360366158087e-17
relative error = 1.1323071741366370078871781417914e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.73
y[1] (analytic) = -0.19897385644507261865388011656114
y[1] (numeric) = -0.19897385644507259604172673344683
absolute error = 2.261215338311431e-17
relative error = 1.1364384139258249042284779840778e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.731
y[1] (analytic) = -0.1986761997269286175583561086232
y[1] (numeric) = -0.19867619972692859489762397486403
absolute error = 2.266073213375917e-17
relative error = 1.1405861479586036788344315534750e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.4MB, time=10.92
NO POLE
x[1] = 0.732
y[1] (analytic) = -0.19837807728685561469021726689633
y[1] (numeric) = -0.19837807728685559198087741492937
absolute error = 2.270933985196696e-17
relative error = 1.1447504765926907254478756178661e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.733
y[1] (analytic) = -0.19807948912530678331479083431377
y[1] (numeric) = -0.19807948912530676055681435816803
absolute error = 2.275797647614574e-17
relative error = 1.1489315010171925946280145265377e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.734
y[1] (analytic) = -0.19778043524346836152721697978659
y[1] (numeric) = -0.19778043524346833872057503512639
absolute error = 2.280664194466020e-17
relative error = 1.1531293232611784529476454433888e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.735
y[1] (analytic) = -0.1974809156432599484680845897712
y[1] (numeric) = -0.19748091564325992561274839393948
absolute error = 2.285533619583172e-17
relative error = 1.1573440462023589898802425824365e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.736
y[1] (analytic) = -0.19718093032733479953806530313666
y[1] (numeric) = -0.19718093032733477663400613519821
absolute error = 2.290405916793845e-17
relative error = 1.1615757735758743353541746783641e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.737
y[1] (analytic) = -0.19688047929908012061095344051408
y[1] (numeric) = -0.19688047929908009765814264129865
absolute error = 2.295281079921543e-17
relative error = 1.1658246099831935853579912714591e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.738
y[1] (analytic) = -0.19657956256261736124452074884226
y[1] (numeric) = -0.19657956256261733824292972098765
absolute error = 2.300159102785461e-17
relative error = 1.1700906609011204325857349079787e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.739
y[1] (analytic) = -0.1962781801228025068885961522437
y[1] (numeric) = -0.19627818012280248383819636023881
absolute error = 2.305039979200489e-17
relative error = 1.1743740326909125851925352291699e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.74
y[1] (analytic) = -0.19597633198522637008978197167145
y[1] (numeric) = -0.19597633198522634699054494189915
absolute error = 2.309923702977230e-17
relative error = 1.1786748326075227582146589314439e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.741
y[1] (analytic) = -0.19567401815621488069221934795795
y[1] (numeric) = -0.19567401815621485754411666873794
absolute error = 2.314810267922001e-17
relative error = 1.1829931688089471504326129696851e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.742
y[1] (analytic) = -0.19537123864282937503381687597202
y[1] (numeric) = -0.19537123864282935183682019760361
absolute error = 2.319699667836841e-17
relative error = 1.1873291503656953041930732073738e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.743
y[1] (analytic) = -0.19506799345286688413735773154602
y[1] (numeric) = -0.19506799345286686089143876635083
absolute error = 2.324591896519519e-17
relative error = 1.1916828872703795335714203868211e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.744
y[1] (analytic) = -0.19476428259486042089590184767182
y[1] (numeric) = -0.19476428259486039760103237003641
absolute error = 2.329486947763541e-17
relative error = 1.1960544904474251721268443167728e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.745
y[1] (analytic) = -0.19446010607807926625190097217943
y[1] (numeric) = -0.19446010607807924290805281859783
absolute error = 2.334384815358160e-17
relative error = 1.2004440717629054861273601532013e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.746
y[1] (analytic) = -0.19415546391252925436944571570429
y[1] (numeric) = -0.1941554639125292309765907848205
absolute error = 2.339285493088379e-17
relative error = 1.2048517440344979445181685437917e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.747
y[1] (analytic) = -0.19385035610895305679906497621735
y[1] (numeric) = -0.19385035610895303335717522886772
absolute error = 2.344188974734963e-17
relative error = 1.2092776210415719157555709788684e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.748
y[1] (analytic) = -0.19354478267883046563449940473388
y[1] (numeric) = -0.19354478267883044214354686398945
absolute error = 2.349095254074443e-17
relative error = 1.2137218175354009463902408428750e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.749
y[1] (analytic) = -0.19323874363437867566087185603163
y[1] (numeric) = -0.19323874363437865212082860724034
absolute error = 2.354004324879129e-17
relative error = 1.2181844492495102929458980076150e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.75
y[1] (analytic) = -0.19293223898855256549367904829406
y[1] (numeric) = -0.19293223898855254190451723912298
absolute error = 2.358916180917108e-17
relative error = 1.2226656329101492714023206281649e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.751
y[1] (analytic) = -0.19262526875504497770802993654974
y[1] (numeric) = -0.19262526875504495406972177702713
absolute error = 2.363830815952261e-17
relative error = 1.2271654862469079746725629504578e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.752
y[1] (analytic) = -0.19231783294828699795755758660113
y[1] (numeric) = -0.19231783294828697427007534915846
absolute error = 2.368748223744267e-17
relative error = 1.2316841280034638484465818047107e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.753
y[1] (analytic) = -0.19200993158344823308243261882532
y[1] (numeric) = -0.19200993158344820934574863833922
absolute error = 2.373668398048610e-17
relative error = 1.2362216779484684378266144709560e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.754
y[1] (analytic) = -0.19170156467643708820590757478301
y[1] (numeric) = -0.19170156467643706441999424861715
absolute error = 2.378591332616586e-17
relative error = 1.2407782568865748471537964206606e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.755
y[1] (analytic) = -0.19139273224390104281882284398874
y[1] (numeric) = -0.19139273224390101898365263203563
absolute error = 2.383517021195311e-17
relative error = 1.2453539866696085615868844432364e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.756
y[1] (analytic) = -0.19108343430322692585150607347423
y[1] (numeric) = -0.19108343430322690196705149819691
absolute error = 2.388445457527732e-17
relative error = 1.2499489902078848458839650680211e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.757
y[1] (analytic) = -0.19077367087254118973249826891492
y[1] (numeric) = -0.19077367087254116579873191538861
absolute error = 2.393376635352631e-17
relative error = 1.2545633914816696968808428252912e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.758
y[1] (analytic) = -0.19046344197071018343354108308729
y[1] (numeric) = -0.19046344197071015945043559904099
absolute error = 2.398310548404630e-17
relative error = 1.2591973155527907470742796237807e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.759
y[1] (analytic) = -0.19015274761734042450026107527856
y[1] (numeric) = -0.1901527476173404004677891711365
absolute error = 2.403247190414206e-17
relative error = 1.2638508885764051357154987227748e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=91.5MB, alloc=4.4MB, time=11.41
x[1] = 0.76
y[1] (analytic) = -0.18984158783277887006798801397953
y[1] (numeric) = -0.18984158783277884598612246290261
absolute error = 2.408186555107692e-17
relative error = 1.2685242378129140828363686986806e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.761
y[1] (analytic) = -0.18952996263811318686214558475512
y[1] (numeric) = -0.18952996263811316273085922268221
absolute error = 2.413128636207291e-17
relative error = 1.2732174916400406857093467576485e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.762
y[1] (analytic) = -0.18921787205517202018265415560209
y[1] (numeric) = -0.18921787205517199600191988129135
absolute error = 2.418073427431074e-17
relative error = 1.2779307795650580894272062013761e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.763
y[1] (analytic) = -0.18890531610652526187178654337054
y[1] (numeric) = -0.18890531610652523764157731844057
absolute error = 2.423020922492997e-17
relative error = 1.2826642322371889034999916086071e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.764
y[1] (analytic) = -0.18859229481548431726491901694013
y[1] (numeric) = -0.18859229481548429298520786591109
absolute error = 2.427971115102904e-17
relative error = 1.2874179814601609668864861740801e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.765
y[1] (analytic) = -0.18827880820610237112362106580579
y[1] (numeric) = -0.18827880820610234679438107614041
absolute error = 2.432923998966538e-17
relative error = 1.2921921602049335888848901643931e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.766
y[1] (analytic) = -0.18796485630317465255052875653602
y[1] (numeric) = -0.1879648563031746281717330786806
absolute error = 2.437879567785542e-17
relative error = 1.2969869026225873119324530412267e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.767
y[1] (analytic) = -0.18765043913223869888544779422072
y[1] (numeric) = -0.18765043913223867445706964164596
absolute error = 2.442837815257476e-17
relative error = 1.3018023440573936084200912415239e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.768
y[1] (analytic) = -0.18733555671957461858213370152109
y[1] (numeric) = -0.18733555671957459410414635076295
absolute error = 2.447798735075814e-17
relative error = 1.3066386210600480595687387046060e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.769
y[1] (analytic) = -0.18702020909220535306519782427241
y[1] (numeric) = -0.18702020909220532853757461497279
absolute error = 2.452762320929962e-17
relative error = 1.3114958714010915266056251377968e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.77
y[1] (analytic) = -0.18670439627789693756658916976681
y[1] (numeric) = -0.18670439627789691298930350471422
absolute error = 2.457728566505259e-17
relative error = 1.3163742340845018542378217551135e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.771
y[1] (analytic) = -0.18638811830515876094110338185924
y[1] (numeric) = -0.18638811830515873631412872702937
absolute error = 2.462697465482987e-17
relative error = 1.3212738493614727590359107176701e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.772
y[1] (analytic) = -0.1860713752032438244603714558912
y[1] (numeric) = -0.18607137520324379978368134048744
absolute error = 2.467669011540376e-17
relative error = 1.3261948587443752964641179673119e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.773
y[1] (analytic) = -0.18575416700214899958478209611398
y[1] (numeric) = -0.18575416700214897485835011260781
absolute error = 2.472643198350617e-17
relative error = 1.3311374050209117853561914639058e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.774
y[1] (analytic) = -0.18543649373261528471279291881306
y[1] (numeric) = -0.18543649373261525993659272298439
absolute error = 2.477620019582867e-17
relative error = 1.3361016322684565775864696593151e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.775
y[1] (analytic) = -0.18511835542612806090708700568777
y[1] (numeric) = -0.18511835542612803608109231666524
absolute error = 2.482599468902253e-17
relative error = 1.3410876858685904210549242164668e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.776
y[1] (analytic) = -0.18479975211491734659703261422241
y[1] (numeric) = -0.18479975211491732172121721452356
absolute error = 2.487581539969885e-17
relative error = 1.3460957125218368932191450935815e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.777
y[1] (analytic) = -0.18448068383195805125690515479596
y[1] (numeric) = -0.18448068383195802633124289036736
absolute error = 2.492566226442860e-17
relative error = 1.3511258602625943351105355051087e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.778
y[1] (analytic) = -0.18416115061097022805933184811582
y[1] (numeric) = -0.18416115061097020308379662837305
absolute error = 2.497553521974277e-17
relative error = 1.3561782784742772724402446394669e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.779
y[1] (analytic) = -0.18384115248641932550342078122407
y[1] (numeric) = -0.18384115248641930047798657909177
absolute error = 2.502543420213230e-17
relative error = 1.3612531179046526892378824762924e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.78
y[1] (analytic) = -0.18352068949351643801703738581306
y[1] (numeric) = -0.18352068949351641294167823776473
absolute error = 2.507535914804833e-17
relative error = 1.3663505306814037354416475327087e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.781
y[1] (analytic) = -0.18319976166821855553269266889573
y[1] (numeric) = -0.18319976166821853040738267499359
absolute error = 2.512530999390214e-17
relative error = 1.3714706703278900550423947306979e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.782
y[1] (analytic) = -0.18287836904722881203650883300784
y[1] (numeric) = -0.18287836904722878686122215694251
absolute error = 2.517528667606533e-17
relative error = 1.3766136917791380275492208987568e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.783
y[1] (analytic) = -0.18255651166799673308972923106788
y[1] (numeric) = -0.18255651166799670786444010019808
absolute error = 2.522528913086980e-17
relative error = 1.3817797513980404687761081808671e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.784
y[1] (analytic) = -0.18223418956871848232224090978851
y[1] (numeric) = -0.18223418956871845704692361518059
absolute error = 2.527531729460792e-17
relative error = 1.3869690069917906091465817297478e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.785
y[1] (analytic) = -0.18191140278833710689757930511591
y[1] (numeric) = -0.18191140278833708157220820158337
absolute error = 2.532537110353254e-17
relative error = 1.3921816178285348552536658414821e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.786
y[1] (analytic) = -0.1815881513665427819488859635715
y[1] (numeric) = -0.18158815136654275657343546971439
absolute error = 2.537545049385711e-17
relative error = 1.3974177446542627791264230356420e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.787
y[1] (analytic) = -0.18126443534377305398529147458049
y[1] (numeric) = -0.18126443534377302855973607282478
absolute error = 2.542555540175571e-17
relative error = 1.4026775497099271292772509678812e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.788
y[1] (analytic) = -0.18094025476121308326819711089366
y[1] (numeric) = -0.18094025476121305779251134753046
absolute error = 2.547568576336320e-17
relative error = 1.4079611967488092301498494863413e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.4MB, time=11.90
NO POLE
x[1] = 0.789
y[1] (analytic) = -0.18061560966079588515692998703943
y[1] (numeric) = -0.18061560966079585963108847226423
absolute error = 2.552584151477520e-17
relative error = 1.4132688510541176903651602748345e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.79
y[1] (analytic) = -0.18029050008520257042324785938306
y[1] (numeric) = -0.18029050008520254484722526733479
absolute error = 2.557602259204827e-17
relative error = 1.4186006794568447905247970295535e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.791
y[1] (analytic) = -0.17996492607786258453417100581472
y[1] (numeric) = -0.17996492607786255890794207461479
absolute error = 2.562622893119993e-17
relative error = 1.4239568503538647267652048766287e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.792
y[1] (analytic) = -0.17963888768295394590261993833917
y[1] (numeric) = -0.17963888768295392022615947013043
absolute error = 2.567646046820874e-17
relative error = 1.4293375337262899614542321454767e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.793
y[1] (analytic) = -0.17931238494540348310533901789294
y[1] (numeric) = -0.17931238494540345737862187887855
absolute error = 2.572671713901439e-17
relative error = 1.4347429011580871284633931753223e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.794
y[1] (analytic) = -0.17898541791088707106758735757036
y[1] (numeric) = -0.1789854179108870452905884780526
absolute error = 2.577699887951776e-17
relative error = 1.4401731258549545383338609855491e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.795
y[1] (analytic) = -0.17865798662582986621407971809484
y[1] (numeric) = -0.17865798662582984038677409251383
absolute error = 2.582730562558101e-17
relative error = 1.4456283826634689740790247810499e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.796
y[1] (analytic) = -0.17833009113740654058566141782559
y[1] (numeric) = -0.17833009113740651470802410479789
absolute error = 2.587763731302770e-17
relative error = 1.4511088480905062352636800144517e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.797
y[1] (analytic) = -0.17800173149354151492120259884008
y[1] (numeric) = -0.17800173149354148899320872119728
absolute error = 2.592799387764280e-17
relative error = 1.4566147003229321075879118909001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.798
y[1] (analytic) = -0.17767290774290919070419851067863
y[1] (numeric) = -0.17767290774290916472582325550586
absolute error = 2.597837525517277e-17
relative error = 1.4621461192475784158723591438401e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.799
y[1] (analytic) = -0.1773436199349341811735637941764
y[1] (numeric) = -0.17734361993493415514478241285069
absolute error = 2.602878138132571e-17
relative error = 1.4677032864715089053021484278042e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.8
y[1] (analytic) = -0.17701386811979154129811006943919
y[1] (numeric) = -0.17701386811979151521889787766782
absolute error = 2.607921219177137e-17
relative error = 1.4732863853425679231318332016370e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.801
y[1] (analytic) = -0.17668365234840699671419745444145
y[1] (numeric) = -0.17668365234840697058452983230019
absolute error = 2.612966762214126e-17
relative error = 1.4788956009702302577044531368827e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.802
y[1] (analytic) = -0.17635297267245717162605196393481
y[1] (numeric) = -0.1763529726724571454459043559061
absolute error = 2.618014760802871e-17
relative error = 1.4845311202467486722481600285090e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.803
y[1] (analytic) = -0.17602182914436981566824206235327
y[1] (numeric) = -0.17602182914436978943758997736433
absolute error = 2.623065208498894e-17
relative error = 1.4901931318686075704965478400708e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.804
y[1] (analytic) = -0.1756902218173240297298089691842
y[1] (numeric) = -0.17569022181732400344862798064501
absolute error = 2.628118098853919e-17
relative error = 1.4958818263582908105127569022872e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.805
y[1] (analytic) = -0.17535815074525049073954664084114
y[1] (numeric) = -0.17535815074525046440781238668238
absolute error = 2.633173425415876e-17
relative error = 1.5015973960863604210777457660436e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.806
y[1] (analytic) = -0.17502561598283167541192867942394
y[1] (numeric) = -0.17502561598283164902961686213489
absolute error = 2.638231181728905e-17
relative error = 1.5073400352938566603331926651615e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.807
y[1] (analytic) = -0.17469261758550208295318074588192
y[1] (numeric) = -0.17469261758550205652026713254818
absolute error = 2.643291361333374e-17
relative error = 1.5131099401150328999048978485850e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.808
y[1] (analytic) = -0.17435915560944845672699838300447
y[1] (numeric) = -0.17435915560944843024345880534569
absolute error = 2.648353957765878e-17
relative error = 1.5189073086004120911352212782159e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.809
y[1] (analytic) = -0.17402523011161000487941148235061
y[1] (numeric) = -0.17402523011160997834522183675812
absolute error = 2.653418964559249e-17
relative error = 1.5247323407401875923979021426576e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.81
y[1] (analytic) = -0.1736908411496786199222979586913
y[1] (numeric) = -0.17369084114967859333743420626565
absolute error = 2.658486375242565e-17
relative error = 1.5305852384879673294326426858220e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.811
y[1] (analytic) = -0.17335598878209909727505052577513
y[1] (numeric) = -0.17335598878209907063948869236354
absolute error = 2.663556183341159e-17
relative error = 1.5364662057848677685251512871608e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.812
y[1] (analytic) = -0.17302067306806935276390179823725
y[1] (numeric) = -0.17302067306806932607761797447099
absolute error = 2.668628382376626e-17
relative error = 1.5423754485839625736281639090064e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.813
y[1] (analytic) = -0.17268489406754063907841427625201
y[1] (numeric) = -0.17268489406754061234138461758374
absolute error = 2.673702965866827e-17
relative error = 1.5483131748750914985963260803927e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.814
y[1] (analytic) = -0.17234865184121776118464310207947
y[1] (numeric) = -0.17234865184121773439684382882043
absolute error = 2.678779927325904e-17
relative error = 1.5542795947100438812430416768559e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.815
y[1] (analytic) = -0.1720119464505592906944808109734
y[1] (numeric) = -0.17201194645055926385588820833057
absolute error = 2.683859260264283e-17
relative error = 1.5602749202281098468221224439397e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.816
y[1] (analytic) = -0.17167477795777777919069463300213
y[1] (numeric) = -0.17167477795777775230128505111533
absolute error = 2.688940958188680e-17
relative error = 1.5662993656820143822833482520289e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.4MB, time=12.39
NO POLE
x[1] = 0.817
y[1] (analytic) = -0.17133714642583997050716823718201
y[1] (numeric) = -0.17133714642583994356691809116084
absolute error = 2.694025014602117e-17
relative error = 1.5723531474642450391754088305981e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.818
y[1] (analytic) = -0.17099905191846701196386114493388
y[1] (numeric) = -0.17099905191846698497274691489467
absolute error = 2.699111423003921e-17
relative error = 1.5784364841337643379255885318598e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.819
y[1] (analytic) = -0.17066049450013466455600037624582
y[1] (numeric) = -0.17066049450013463751399860734846
absolute error = 2.704200176889736e-17
relative error = 1.5845495964431312328825720727834e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.82
y[1] (analytic) = -0.1703214742360735120970202290572
y[1] (numeric) = -0.17032147423607348500410753154184
absolute error = 2.709291269751536e-17
relative error = 1.5906927073660317541931514957170e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.821
y[1] (analytic) = -0.16998199119226916931476743026879
y[1] (numeric) = -0.1699819911922691421709204794926
absolute error = 2.714384695077619e-17
relative error = 1.5968660421252142679845692487766e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.822
y[1] (analytic) = -0.16964204543546248890049023543091
y[1] (numeric) = -0.16964204543546246170568577190461
absolute error = 2.719480446352630e-17
relative error = 1.6030698282208648376153497635183e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.823
y[1] (analytic) = -0.16930163703314976751013139356165
y[1] (numeric) = -0.16930163703314974026434622298603
absolute error = 2.724578517057562e-17
relative error = 1.6093042954594002936455072752691e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.824
y[1] (analytic) = -0.16896076605358295071744623370224
y[1] (numeric) = -0.16896076605358292342065722700464
absolute error = 2.729678900669760e-17
relative error = 1.6155696759827012720291427748297e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.825
y[1] (analytic) = -0.16861943256576983691846847072232
y[1] (numeric) = -0.16861943256576980957065256409294
absolute error = 2.734781590662938e-17
relative error = 1.6218662042977989754517664732738e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.826
y[1] (analytic) = -0.16827763663947428018684766954291
y[1] (numeric) = -0.16827763663947425278798186447111
absolute error = 2.739886580507180e-17
relative error = 1.6281941173070064927144698403881e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.827
y[1] (analytic) = -0.16793537834521639207958364934936
y[1] (numeric) = -0.16793537834521636462964501265984
absolute error = 2.744993863668952e-17
relative error = 1.6345536543385187413503643563243e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.828
y[1] (analytic) = -0.16759265775427274239268445251651
y[1] (numeric) = -0.16759265775427271489165011640545
absolute error = 2.750103433611106e-17
relative error = 1.6409450571774780777359667868610e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.829
y[1] (analytic) = -0.16724947493867655886627584686391
y[1] (numeric) = -0.16724947493867653131412300893497
absolute error = 2.755215283792894e-17
relative error = 1.6473685700975247278589238551224e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.83
y[1] (analytic) = -0.16690582997121792583869167449722
y[1] (numeric) = -0.16690582997121789823539759779755
absolute error = 2.760329407669967e-17
relative error = 1.6538244398928257789364189058773e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.831
y[1] (analytic) = -0.16656172292544398184907570587284
y[1] (numeric) = -0.16656172292544395419461771892892
absolute error = 2.765445798694392e-17
relative error = 1.6603129159106112266552716428704e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.832
y[1] (analytic) = -0.1662171538756591161880270038424
y[1] (numeric) = -0.16621715387565908848238250069584
absolute error = 2.770564450314656e-17
relative error = 1.6668342500842075771766468498216e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.833
y[1] (analytic) = -0.16587212289692516439582214929307
y[1] (numeric) = -0.16587212289692513663896858953638
absolute error = 2.775685355975669e-17
relative error = 1.6733886969665853064515257172325e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.834
y[1] (analytic) = -0.16552663006506160270774902759502
y[1] (numeric) = -0.16552663006506157489966393640716
absolute error = 2.780808509118786e-17
relative error = 1.6799765137644416218895330222402e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.835
y[1] (analytic) = -0.16518067545664574144608822339747
y[1] (numeric) = -0.16518067545664571358674919157946
absolute error = 2.785933903181801e-17
relative error = 1.6865979603727998076294500423363e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.836
y[1] (analytic) = -0.16483425914901291735827942037955
y[1] (numeric) = -0.16483425914901288944766410438996
absolute error = 2.791061531598959e-17
relative error = 1.6932532994101625805128258183580e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.837
y[1] (analytic) = -0.16448738122025668490081155235749
y[1] (numeric) = -0.16448738122025665693889767434783
absolute error = 2.796191387800966e-17
relative error = 1.6999427962542174294575845837072e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.838
y[1] (analytic) = -0.16414004174922900646837680267589
y[1] (numeric) = -0.16414004174922897845514215052589
absolute error = 2.801323465215000e-17
relative error = 1.7066667190781059308524624771451e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.839
y[1] (analytic) = -0.16379224081554044156782990006524
y[1] (numeric) = -0.16379224081554041350325232741816
absolute error = 2.806457757264708e-17
relative error = 1.7134253388872582884902043416354e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.84
y[1] (analytic) = -0.16344397849956033493649551112963
y[1] (numeric) = -0.16344397849956030682055293742736
absolute error = 2.811594257370227e-17
relative error = 1.7202189295568268375509791334293e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.841
y[1] (analytic) = -0.16309525488241700360436788233469
y[1] (numeric) = -0.16309525488241697543703829285283
absolute error = 2.816732958948186e-17
relative error = 1.7270477678697032078861387262646e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.842
y[1] (analytic) = -0.16274607004599792289974823779647
y[1] (numeric) = -0.16274607004599789468100968367935
absolute error = 2.821873855411712e-17
relative error = 1.7339121335551441786937927822744e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.843
y[1] (analytic) = -0.16239642407294991139786679332389
y[1] (numeric) = -0.16239642407294988312769739161949
absolute error = 2.827016940170440e-17
relative error = 1.7408123093280175693659685339945e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.844
y[1] (analytic) = -0.16204631704667931481203760204001
y[1] (numeric) = -0.1620463170466792864904155357348
absolute error = 2.832162206630521e-17
relative error = 1.7477485809286760511720754034595e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=103.0MB, alloc=4.4MB, time=12.88
x[1] = 0.845
y[1] (analytic) = -0.1616957490513521888268958024981
y[1] (numeric) = -0.16169574905135216045379932055176
absolute error = 2.837309648194634e-17
relative error = 1.7547212371634743699453536769024e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.846
y[1] (analytic) = -0.16134472017189448087326819651672
y[1] (numeric) = -0.16134472017189445244867561389683
absolute error = 2.842459258261989e-17
relative error = 1.7617305699459340116030866544385e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.847
y[1] (analytic) = -0.16099323049399221084422944098137
y[1] (numeric) = -0.16099323049399218236811913869804
absolute error = 2.847611030228333e-17
relative error = 1.7687768743385749907330981571921e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.848
y[1] (analytic) = -0.16064128010409165075189749559715
y[1] (numeric) = -0.1606412801040916222242479207375
absolute error = 2.852764957485965e-17
relative error = 1.7758604485954311021469473493194e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.849
y[1] (analytic) = -0.16028886908939950332452332702578
y[1] (numeric) = -0.16028886908939947474531299278838
absolute error = 2.857921033423740e-17
relative error = 1.7829815942052490933808007097694e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.85
y[1] (analytic) = -0.1599359975378830795434312289998
y[1] (numeric) = -0.15993599753788305091263871472903
absolute error = 2.863079251427077e-17
relative error = 1.7901406159353941607335302305071e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.851
y[1] (analytic) = -0.15958266553827047511936747787471
y[1] (numeric) = -0.15958266553827044643697142909504
absolute error = 2.868239604877967e-17
relative error = 1.7973378218764727150567510428256e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.852
y[1] (analytic) = -0.15922887318005074590781640365485
y[1] (numeric) = -0.15922887318005071717379553210501
absolute error = 2.873402087154984e-17
relative error = 1.8045735234876880090116905457625e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.853
y[1] (analytic) = -0.1588746205534740822628443178091
y[1] (numeric) = -0.15887462055347405347717740147619
absolute error = 2.878566691633291e-17
relative error = 1.8118480356429376276260352714870e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.854
y[1] (analytic) = -0.1585199077495519823290331011767
y[1] (numeric) = -0.15851990774955195349169898433026
absolute error = 2.883733411684644e-17
relative error = 1.8191616766776690013402898153755e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.855
y[1] (analytic) = -0.15816473486005742427106661794974
y[1] (numeric) = -0.15816473486005739538204421117566
absolute error = 2.888902240677408e-17
relative error = 1.8265147684365164036214673079540e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.856
y[1] (analytic) = -0.15780910197752503744053448510494
y[1] (numeric) = -0.15780910197752500849980276533934
absolute error = 2.894073171976560e-17
relative error = 1.8339076363217186640086737631458e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.857
y[1] (analytic) = -0.15745300919525127247951909074304
y[1] (numeric) = -0.15745300919525124348705710130606
absolute error = 2.899246198943698e-17
relative error = 1.8413406093423448195753065333622e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.858
y[1] (analytic) = -0.15709645660729457036053311957616
y[1] (numeric) = -0.15709645660729454131631997020566
absolute error = 2.904421314937050e-17
relative error = 1.8488140201643395694920538857054e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.859
y[1] (analytic) = -0.15673944430847553036237620928109
y[1] (numeric) = -0.15673944430847550126639107616628
absolute error = 2.909598513311481e-17
relative error = 1.8563282051614032290825162375662e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.86
y[1] (analytic) = -0.15638197239437707698148072760793
y[1] (numeric) = -0.15638197239437704783370285342292
absolute error = 2.914777787418501e-17
relative error = 1.8638835044667244103713857093418e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.861
y[1] (analytic) = -0.15602404096134462577831802699696
y[1] (numeric) = -0.1560240409613445965787267209342
absolute error = 2.919959130606276e-17
relative error = 1.8714802620255834155525452735740e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.862
y[1] (analytic) = -0.15566565010648624815843790101004
y[1] (numeric) = -0.15566565010648621890701253881376
absolute error = 2.925142536219628e-17
relative error = 1.8791188256488344500714564282775e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.863
y[1] (analytic) = -0.15530679992767283508771533512608
y[1] (numeric) = -0.15530679992767280578443535912548
absolute error = 2.930327997600060e-17
relative error = 1.8867995470673071751987751829253e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.864
y[1] (analytic) = -0.15494749052353825974138001337842
y[1] (numeric) = -0.15494749052353823038622493252102
absolute error = 2.935515508085740e-17
relative error = 1.8945227819871031126614193652859e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.865
y[1] (analytic) = -0.15458772199347953908640541192838
y[1] (numeric) = -0.15458772199347950967935480181305
absolute error = 2.940705061011533e-17
relative error = 1.9022888901458622978774557805105e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.866
y[1] (analytic) = -0.15422749443765699439683568096628
y[1] (numeric) = -0.15422749443765696493786918387637
absolute error = 2.945896649708991e-17
relative error = 1.9100982353699609960937526392462e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.867
y[1] (analytic) = -0.15386680795699441070162988731302
y[1] (numeric) = -0.15386680795699438119072721224929
absolute error = 2.951090267506373e-17
relative error = 1.9179511856327059243579171885216e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.868
y[1] (analytic) = -0.15350566265317919516460456175538
y[1] (numeric) = -0.15350566265317916560174548446892
absolute error = 2.956285907728646e-17
relative error = 1.9258481131135129039555773070163e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.869
y[1] (analytic) = -0.15314405862866253439605686748839
y[1] (numeric) = -0.15314405862866250478122123051342
absolute error = 2.961483563697497e-17
relative error = 1.9337893942581093052756991996664e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.87
y[1] (analytic) = -0.1527819959866595506956520790543
y[1] (numeric) = -0.15278199598665952102881979174086
absolute error = 2.966683228731344e-17
relative error = 1.9417754098397729822524173500753e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.871
y[1] (analytic) = -0.1524194748311494572261604348596
y[1] (numeric) = -0.1524194748311494275073114734063
absolute error = 2.971884896145330e-17
relative error = 1.9498065450216180932973628578481e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.872
y[1] (analytic) = -0.15205649526687571211762980071756
y[1] (numeric) = -0.15205649526687568234674420820405
absolute error = 2.977088559251351e-17
relative error = 1.9578831894199825504356514361664e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.873
y[1] (analytic) = -0.1516930573993461715015819569002
memory used=106.8MB, alloc=4.5MB, time=13.35
y[1] (numeric) = -0.1516930573993461416786398433197
absolute error = 2.982294211358050e-17
relative error = 1.9660057371688945243647940094309e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.874
y[1] (analytic) = -0.15132916133483324147482169689252
y[1] (numeric) = -0.1513291613348332115998032391842
absolute error = 2.987501845770832e-17
relative error = 1.9741745869856763681017740773488e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.875
y[1] (analytic) = -0.15096480718037402899244930241721
y[1] (numeric) = -0.15096480718037399906533474449853
absolute error = 2.992711455791868e-17
relative error = 1.9823901422376879070210952213596e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.876
y[1] (analytic) = -0.1505999950437704916896683363418
y[1] (numeric) = -0.15059999504377046171043798914076
absolute error = 2.997923034720104e-17
relative error = 1.9906528110102430460151160260199e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.877
y[1] (analytic) = -0.15023472503358958663198207278855
y[1] (numeric) = -0.1502347250335895566006163142758
absolute error = 3.003136575851275e-17
relative error = 1.9989630061757237478215053942405e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.878
y[1] (analytic) = -0.14986899725916341799337326213914
y[1] (numeric) = -0.14986899725916338790985253736013
absolute error = 3.008352072477901e-17
relative error = 2.0073211454639006553917372354857e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.879
y[1] (analytic) = -0.14950281183058938366206330766067
y[1] (numeric) = -0.14950281183058935352636812876754
absolute error = 3.013569517889313e-17
relative error = 2.0157276515335174017711109199533e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.88
y[1] (analytic) = -0.14913616885873032077344831017252
y[1] (numeric) = -0.14913616885873029058555925645612
absolute error = 3.018788905371640e-17
relative error = 2.0241829520451184201417185460638e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.881
y[1] (analytic) = -0.14876906845521465016981081752735
y[1] (numeric) = -0.14876906845521461992970853544899
absolute error = 3.024010228207836e-17
relative error = 2.0326874797351992553168838538346e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.882
y[1] (analytic) = -0.14840151073243651978640749668756
y[1] (numeric) = -0.14840151073243648949407269991083
absolute error = 3.029233479677673e-17
relative error = 2.0412416724916569471377007909003e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.883
y[1] (analytic) = -0.14803349580355594696353432784408
y[1] (numeric) = -0.14803349580355591661894779726643
absolute error = 3.034458653057765e-17
relative error = 2.0498459734306116172598441612205e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.884
y[1] (analytic) = -0.14766502378249895968417230234103
y[1] (numeric) = -0.14766502378249892928731488612541
absolute error = 3.039685741621562e-17
relative error = 2.0585008309745865901729604906877e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.885
y[1] (analytic) = -0.14729609478395773673681798914045
y[1] (numeric) = -0.14729609478395770628767060274681
absolute error = 3.044914738639364e-17
relative error = 2.0672066989321095978145534459903e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.886
y[1] (analytic) = -0.14692670892339074680310471818008
y[1] (numeric) = -0.14692670892339071630164834439673
absolute error = 3.050145637378335e-17
relative error = 2.0759640365787513453793506003898e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.887
y[1] (analytic) = -0.14655686631702288646982151324516
y[1] (numeric) = -0.14655686631702285591603720222021
absolute error = 3.055378431102495e-17
relative error = 2.0847733087396167984932641048862e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.888
y[1] (analytic) = -0.14618656708184561716493829189048
y[1] (numeric) = -0.146186567081845586558807161163
absolute error = 3.060613113072748e-17
relative error = 2.0936349858733597079620045556361e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.889
y[1] (analytic) = -0.14581581133561710101724723550724
y[1] (numeric) = -0.14581581133561707035875047003845
absolute error = 3.065849676546879e-17
relative error = 2.1025495441577067197785281100002e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.89
y[1] (analytic) = -0.14544459919686233563923161883312
y[1] (numeric) = -0.14544459919686230492835047103751
absolute error = 3.071088114779561e-17
relative error = 2.1115174655765515224361766663505e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.891
y[1] (analytic) = -0.14507293078487328783277477504782
y[1] (numeric) = -0.14507293078487325706949056482413
absolute error = 3.076328421022369e-17
relative error = 2.1205392380086505200228846622361e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.892
y[1] (analytic) = -0.14470080621970902621732326008038
y[1] (numeric) = -0.14470080621970899540161737484253
absolute error = 3.081570588523785e-17
relative error = 2.1296153553179433158488129085937e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.893
y[1] (analytic) = -0.14432822562219585278011966787726
y[1] (numeric) = -0.14432822562219582191197356258523
absolute error = 3.086814610529203e-17
relative error = 2.1387463174455392293269884582184e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.894
y[1] (analytic) = -0.143955189113927433348121937139
y[1] (numeric) = -0.1439551891139274024275171343295
absolute error = 3.092060480280950e-17
relative error = 2.1479326305034169237349668859467e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.895
y[1] (analytic) = -0.14358169681726492698122737942636
y[1] (numeric) = -0.14358169681726489600814546924357
absolute error = 3.097308191018279e-17
relative error = 2.1571748068698435556700349335217e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.896
y[1] (analytic) = -0.14320774885533711428642104856427
y[1] (numeric) = -0.14320774885533708326084368879043
absolute error = 3.102557735977384e-17
relative error = 2.1664733652865857757736708956861e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.897
y[1] (analytic) = -0.14283334535204052465246946192947
y[1] (numeric) = -0.14283334535204049357437837801536
absolute error = 3.107809108391411e-17
relative error = 2.1758288309579333648987906127816e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.898
y[1] (analytic) = -0.1424584864320395624047820754953
y[1] (numeric) = -0.1424584864320395312741590605907
absolute error = 3.113062301490460e-17
relative error = 2.1852417356515716219280087437866e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.899
y[1] (analytic) = -0.14208317222076663188006430642332
y[1] (numeric) = -0.14208317222076660069689122140732
absolute error = 3.118317308501600e-17
relative error = 2.1947126178013585410615354919224e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.9
y[1] (analytic) = -0.14170740284442226142038728953272
y[1] (numeric) = -0.14170740284442223018464606304402
absolute error = 3.123574122648870e-17
relative error = 2.2042420226120295857805756823929e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.901
y[1] (analytic) = -0.14133117842997522628630094714546
y[1] (numeric) = -0.14133117842997519499797357561252
absolute error = 3.128832737153294e-17
relative error = 2.2138305021658924322537320276239e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.5MB, time=13.84
NO POLE
x[1] = 0.902
y[1] (analytic) = -0.14095449910516267048861834559399
y[1] (numeric) = -0.14095449910516263914768689326513
absolute error = 3.134093145232886e-17
relative error = 2.2234786155315386635255074926753e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.903
y[1] (analytic) = -0.14057736499849022753850070608919
y[1] (numeric) = -0.14057736499849019614494730506259
absolute error = 3.139355340102660e-17
relative error = 2.2331869288746278899636160881603e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.904
y[1] (analytic) = -0.14019977623923214011547383267581
y[1] (numeric) = -0.14019977623923210866928068292948
absolute error = 3.144619314974633e-17
relative error = 2.2429560155707818834897838987866e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.905
y[1] (analytic) = -0.13982173295743137865300811565051
y[1] (numeric) = -0.1398217329574313471541574850721
absolute error = 3.149885063057841e-17
relative error = 2.2527864563206501927332386163727e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.906
y[1] (analytic) = -0.13944323528389975884129566508102
y[1] (numeric) = -0.13944323528389972728976988949759
absolute error = 3.155152577558343e-17
relative error = 2.2626788392671779537870401718010e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.907
y[1] (analytic) = -0.13906428335021805804685952594304
y[1] (numeric) = -0.13906428335021802644264100915072
absolute error = 3.160421851679232e-17
relative error = 2.2726337601151391107430768804566e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.908
y[1] (analytic) = -0.13868487728873613064863132388187
y[1] (numeric) = -0.1386848772887360989917025376755
absolute error = 3.165692878620637e-17
relative error = 2.2826518222529745995637920903542e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.909
y[1] (analytic) = -0.13830501723257302229013508870749
y[1] (numeric) = -0.13830501723257299058047857291011
absolute error = 3.170965651579738e-17
relative error = 2.2927336368770035924673806668709e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.91
y[1] (analytic) = -0.13792470331561708304741640144189
y[1] (numeric) = -0.13792470331561705128501476393416
absolute error = 3.176240163750773e-17
relative error = 2.3028798231180464287005348661115e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.911
y[1] (analytic) = -0.13754393567252607951235741005592
y[1] (numeric) = -0.13754393567252604769719332680548
absolute error = 3.181516408325044e-17
relative error = 2.3130910081705192796744864633743e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.912
y[1] (analytic) = -0.1371627144387273057910196589565
y[1] (numeric) = -0.13716271443872727392307587404725
absolute error = 3.186794378490925e-17
relative error = 2.3233678274240592287544541873726e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.913
y[1] (analytic) = -0.13678103975041769341665807781299
y[1] (numeric) = -0.1367810397504176614959174034742
absolute error = 3.192074067433879e-17
relative error = 2.3337109245977428995995951767940e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.914
y[1] (analytic) = -0.13639891174456392017705087644123
y[1] (numeric) = -0.1363989117445638882034961930767
absolute error = 3.197355468336453e-17
relative error = 2.3441209518769355475378307244977e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.915
y[1] (analytic) = -0.13601633055890251785579149419515
y[1] (numeric) = -0.13601633055890248582940575041222
absolute error = 3.202638574378293e-17
relative error = 2.3545985700528622604198262892533e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.916
y[1] (analytic) = -0.13563329633193997888719015464481
y[1] (numeric) = -0.13563329633193994680795636728327
absolute error = 3.207923378736154e-17
relative error = 2.3651444486649458230743200766068e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.917
y[1] (analytic) = -0.13524980920295286192443397924672
y[1] (numeric) = -0.13524980920295282979233523340766
absolute error = 3.213209874583906e-17
relative error = 2.3757592661459762778088734945642e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.918
y[1] (analytic) = -0.13486586931198789632065601723456
y[1] (numeric) = -0.13486586931198786413567546630911
absolute error = 3.218498055092545e-17
relative error = 2.3864437099701848748606681410824e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.919
y[1] (analytic) = -0.13448147679986208552256495307406
y[1] (numeric) = -0.13448147679986205328468581877211
absolute error = 3.223787913430195e-17
relative error = 2.3971984768042799212867994971699e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.92
y[1] (analytic) = -0.13409663180816280937628865753408
y[1] (numeric) = -0.13409663180816277708549422991283
absolute error = 3.229079442762125e-17
relative error = 2.4080242726615319572015363037379e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.921
y[1] (analytic) = -0.13371133447924792534508615372354
y[1] (numeric) = -0.13371133447924789300135979121607
absolute error = 3.234372636250747e-17
relative error = 2.4189218130589545948253098958258e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.922
y[1] (analytic) = -0.13332558495624586863858397533129
y[1] (numeric) = -0.13332558495624583624190910477491
absolute error = 3.239667487055638e-17
relative error = 2.4298918231776864584944230523329e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.923
y[1] (analytic) = -0.13293938338305575125319430077872
y[1] (numeric) = -0.13293938338305571880355441744334
absolute error = 3.244963988333538e-17
relative error = 2.4409350380266139436533340735256e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.924
y[1] (analytic) = -0.13255272990434745992337365405429
y[1] (numeric) = -0.13255272990434742742075232167071
absolute error = 3.250262133238358e-17
relative error = 2.4520522026093375940281997129774e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.925
y[1] (analytic) = -0.13216562466556175298338237064086
y[1] (numeric) = -0.13216562466556172042776322142893
absolute error = 3.255561914921193e-17
relative error = 2.4632440720945580928882143434525e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.926
y[1] (analytic) = -0.13177806781291035613920643517035
y[1] (numeric) = -0.13177806781291032353057316986702
absolute error = 3.260863326530333e-17
relative error = 2.4745114119899584413293321610363e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.927
y[1] (analytic) = -0.13139005949337605715030470624377
y[1] (numeric) = -0.13139005949337602448864109413115
absolute error = 3.266166361211262e-17
relative error = 2.4858549983196587367516856171654e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.928
y[1] (analytic) = -0.13100159985471279942084595323697
y[1] (numeric) = -0.13100159985471276670613583217026
absolute error = 3.271471012106671e-17
relative error = 2.4972756178053495803525809263796e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.929
y[1] (analytic) = -0.13061268904544577450010153987017
y[1] (numeric) = -0.1306126890454457417323288163054
absolute error = 3.276777272356477e-17
relative error = 2.5087740680511869672298329455324e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=114.4MB, alloc=4.5MB, time=14.33
x[1] = 0.93
y[1] (analytic) = -0.1302233272148715134916609998523
y[1] (numeric) = -0.1302233272148714806708096488742
absolute error = 3.282085135097810e-17
relative error = 2.5203511577325107982193957101717e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.931
y[1] (analytic) = -0.12983351451305797737113916101798
y[1] (numeric) = -0.1298335145130579444971932263676
absolute error = 3.287394593465038e-17
relative error = 2.5320077067885341782164062180461e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.932
y[1] (analytic) = -0.12944325109084464621204488605131
y[1] (numeric) = -0.12944325109084461328498848015358
absolute error = 3.292705640589773e-17
relative error = 2.5437445466190564590236790065980e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.933
y[1] (analytic) = -0.12905253709984260731948291013791
y[1] (numeric) = -0.12905253709984257433930021412921
absolute error = 3.298018269600870e-17
relative error = 2.5555625202853081052313284159253e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.934
y[1] (analytic) = -0.12866137269243464227136166870164
y[1] (numeric) = -0.12866137269243460923803693245715
absolute error = 3.303332473624449e-17
relative error = 2.5674624827150524575166240255066e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.935
y[1] (analytic) = -0.12826975802177531286678142176229
y[1] (numeric) = -0.12826975802177527978029896392335
absolute error = 3.308648245783894e-17
relative error = 2.5794453009120136606938305185510e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.936
y[1] (analytic) = -0.12787769324179104598127839539662
y[1] (numeric) = -0.12787769324179101284162260339798
absolute error = 3.313965579199864e-17
relative error = 2.5915118541697654657205162962042e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.937
y[1] (analytic) = -0.12748517850718021732860207529201
y[1] (numeric) = -0.127485178507180184135757405389
absolute error = 3.319284466990301e-17
relative error = 2.6036630342901801213177811829397e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.938
y[1] (analytic) = -0.1270922139734132341287042024511
y[1] (numeric) = -0.12709221397341320088265517974668
absolute error = 3.324604902270442e-17
relative error = 2.6158997458065567579501063323460e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.939
y[1] (analytic) = -0.12669879979673261668161943673302
y[1] (numeric) = -0.12669879979673258338235065520482
absolute error = 3.329926878152820e-17
relative error = 2.6282229062115347021680409963961e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.94
y[1] (analytic) = -0.12630493613415307884691907010249
y[1] (numeric) = -0.12630493613415304549441519262968
absolute error = 3.335250387747281e-17
relative error = 2.6406334461899334883275680310457e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.941
y[1] (analytic) = -0.12591062314346160742842058819819
y[1] (numeric) = -0.12591062314346157402266634658832
absolute error = 3.340575424160987e-17
relative error = 2.6531323098566200733332154184859e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.942
y[1] (analytic) = -0.12551586098321754046383729612707
y[1] (numeric) = -0.12551586098321750700481749114282
absolute error = 3.345901980498425e-17
relative error = 2.6657204549995465965114251393015e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.943
y[1] (analytic) = -0.12512064981275264441905364223776
y[1] (numeric) = -0.12512064981275261090675314362359
absolute error = 3.351230049861417e-17
relative error = 2.6783988533280861510607812337434e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.944
y[1] (analytic) = -0.12472498979217119028671329202376
y[1] (numeric) = -0.12472498979217115672111703853246
absolute error = 3.356559625349130e-17
relative error = 2.6911684907268009736112490695375e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.945
y[1] (analytic) = -0.12432888108235002858880842325287
y[1] (numeric) = -0.12432888108234999496990142267208
absolute error = 3.361890700058079e-17
relative error = 2.7040303675147765701370062351902e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.946
y[1] (analytic) = -0.12393232384493866328296013291276
y[1] (numeric) = -0.12393232384493862961072746209137
absolute error = 3.367223267082139e-17
relative error = 2.7169854987106777992066936296942e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.947
y[1] (analytic) = -0.12353531824235932457208126660018
y[1] (numeric) = -0.12353531824235929084650807147463
absolute error = 3.372557319512555e-17
relative error = 2.7300349143036656295421835208662e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.948
y[1] (analytic) = -0.12313786443780704061711440156345
y[1] (numeric) = -0.12313786443780700683818589718396
absolute error = 3.377892850437949e-17
relative error = 2.7431796595303255494180466456753e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.949
y[1] (analytic) = -0.12273996259524970815253913573099
y[1] (numeric) = -0.12273996259524967432024060628771
absolute error = 3.383229852944328e-17
relative error = 2.7564207951577671674425745206237e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.95
y[1] (analytic) = -0.12234161287942816200434425672212
y[1] (numeric) = -0.12234161287942812811866105557122
absolute error = 3.388568320115090e-17
relative error = 2.7697593977730535675971317268411e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.951
y[1] (analytic) = -0.12194281545585624351016178703814
y[1] (numeric) = -0.12194281545585620957107933672776
absolute error = 3.393908245031038e-17
relative error = 2.7831965600791343973150158964227e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.952
y[1] (analytic) = -0.12154357049082086784126132436934
y[1] (numeric) = -0.12154357049082083384876511666551
absolute error = 3.399249620770383e-17
relative error = 2.7967333911974380036051242719386e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.953
y[1] (analytic) = -0.12114387815138209022610451922703
y[1] (numeric) = -0.12114387815138205618018011513942
absolute error = 3.404592440408761e-17
relative error = 2.8103710169773189953446131239483e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.954
y[1] (analytic) = -0.12074373860537317107516095591492
y[1] (numeric) = -0.12074373860537313697579398572263
absolute error = 3.409936697019229e-17
relative error = 2.8241105803125137846014052373375e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.955
y[1] (analytic) = -0.12034315202140064000668812719187
y[1] (numeric) = -0.12034315202140060585386429046901
absolute error = 3.415282383672286e-17
relative error = 2.8379532414648287118455858280381e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.956
y[1] (analytic) = -0.11994211856884435877317961784399
y[1] (numeric) = -0.11994211856884432456688468348527
absolute error = 3.420629493435872e-17
relative error = 2.8519001783952145295254635291583e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.957
y[1] (analytic) = -0.11954063841785758308818703777892
y[1] (numeric) = -0.11954063841785754882840684402514
absolute error = 3.425978019375378e-17
relative error = 2.8659525871024527969144035506851e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.958
memory used=118.2MB, alloc=4.5MB, time=14.83
y[1] (analytic) = -0.11913871173936702335322267117514
y[1] (numeric) = -0.11913871173936698903994312563852
absolute error = 3.431327954553662e-17
relative error = 2.8801116819696546723361217748004e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.959
y[1] (analytic) = -0.11873633870507290428445123466374
y[1] (numeric) = -0.1187363387050728699176583143532
absolute error = 3.436679292031054e-17
relative error = 2.8943786961187686841790306961145e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.96
y[1] (analytic) = -0.11833351948744902343888056448703
y[1] (numeric) = -0.11833351948744898901856031583348
absolute error = 3.442032024865355e-17
relative error = 2.9087548817733187961436291004341e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.961
y[1] (analytic) = -0.11793025425974280863976248006672
y[1] (numeric) = -0.11793025425974277416590101894813
absolute error = 3.447386146111859e-17
relative error = 2.9232415106296212988460117891948e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.962
y[1] (analytic) = -0.11752654319597537430091649942009
y[1] (numeric) = -0.11752654319597533977350001118657
absolute error = 3.452741648823352e-17
relative error = 2.9378398742366729106488784495930e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.963
y[1] (analytic) = -0.11712238647094157664969051038777
y[1] (numeric) = -0.11712238647094154206870524988645
absolute error = 3.458098526050132e-17
relative error = 2.9525512843849854885356091737558e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.964
y[1] (analytic) = -0.11671778426021006784827393067496
y[1] (numeric) = -0.11671778426021003321370622227494
absolute error = 3.463456770840002e-17
relative error = 2.9673770735045724512038599338847e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.965
y[1] (analytic) = -0.11631273674012334901308031926226
y[1] (numeric) = -0.11631273674012331432491655687936
absolute error = 3.468816376238290e-17
relative error = 2.9823185950723863428940476742811e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.966
y[1] (analytic) = -0.11590724408779782213191783180647
y[1] (numeric) = -0.11590724408779778739014447892795
absolute error = 3.474177335287852e-17
relative error = 2.9973772240294317378679310588859e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.967
y[1] (analytic) = -0.11550130648112384087866734322758
y[1] (numeric) = -0.11550130648112380608327093293671
absolute error = 3.479539641029087e-17
relative error = 3.0125543572078481675730599799780e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.968
y[1] (analytic) = -0.11509492409876576032518949176143
y[1] (numeric) = -0.11509492409876572547615662676205
absolute error = 3.484903286499938e-17
relative error = 3.0278514137682192914735483509120e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.969
y[1] (analytic) = -0.11468809712016198555018333034857
y[1] (numeric) = -0.11468809712016195064750068298953
absolute error = 3.490268264735904e-17
relative error = 3.0432698356474173076882271650125e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.97
y[1] (analytic) = -0.11428082572552501914472070332456
y[1] (numeric) = -0.11428082572552498418837501562408
absolute error = 3.495634568770048e-17
relative error = 3.0588110880172664732354599092451e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.971
y[1] (analytic) = -0.1138731100958415076141818989758
y[1] (numeric) = -0.11387311009584147260415998264573
absolute error = 3.501002191633007e-17
relative error = 3.0744766597543372777342267394908e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.972
y[1] (analytic) = -0.11346495041287228667631956162479
y[1] (numeric) = -0.11346495041287225161260829809479
absolute error = 3.506371126353000e-17
relative error = 3.0902680639211841013992237597089e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.973
y[1] (analytic) = -0.11305634685915242545517928050806
y[1] (numeric) = -0.11305634685915239033776562094972
absolute error = 3.511741365955834e-17
relative error = 3.1061868382593529424038014676362e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.974
y[1] (analytic) = -0.11264729961799126957060670680778
y[1] (numeric) = -0.11264729961799123439947767215862
absolute error = 3.517112903464916e-17
relative error = 3.1222345456945035957679488127458e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.975
y[1] (analytic) = -0.11223780887347248312307248479106
y[1] (numeric) = -0.11223780887347244789821516577845
absolute error = 3.522485731901261e-17
relative error = 3.1384127748539859267664661768782e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.976
y[1] (analytic) = -0.11182787481045408957354771809909
y[1] (numeric) = -0.11182787481045405429494927526413
absolute error = 3.527859844283496e-17
relative error = 3.1547231405972300719109506420740e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.977
y[1] (analytic) = -0.11141749761456851151816412780874
y[1] (numeric) = -0.11141749761456847618581179152993
absolute error = 3.533235233627881e-17
relative error = 3.1711672845593411791800283417877e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.978
y[1] (analytic) = -0.11100667747222260935739449495986
y[1] (numeric) = -0.11100667747222257397127556547687
absolute error = 3.538611892948299e-17
relative error = 3.1877468757082400762448997882682e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.979
y[1] (analytic) = -0.11059541457059771885949041680273
y[1] (numeric) = -0.11059541457059768341959226423995
absolute error = 3.543989815256278e-17
relative error = 3.2044636109158031945447307831450e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.98
y[1] (analytic) = -0.1101837090976496876179158430667
y[1] (numeric) = -0.11018370909764965212422590745671
absolute error = 3.549368993560999e-17
relative error = 3.2213192155433711610180057774450e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.981
y[1] (analytic) = -0.10977156124210891040251629608449
y[1] (numeric) = -0.10977156124210887485502208739149
absolute error = 3.554749420869300e-17
relative error = 3.2383154440420590930954907412317e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.982
y[1] (analytic) = -0.10935897119348036340416511662348
y[1] (numeric) = -0.10935897119348032780285421476662
absolute error = 3.560131090185686e-17
relative error = 3.2554540805683162604563090255562e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.983
y[1] (analytic) = -0.10894593914204363737262951577377
y[1] (numeric) = -0.1089459391420436017174895706504
absolute error = 3.565513994512337e-17
relative error = 3.2727369396151814427272214928212e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.984
y[1] (analytic) = -0.10853246527885296964740065222192
y[1] (numeric) = -0.10853246527885293393841938373072
absolute error = 3.570898126849120e-17
relative error = 3.2901658666597084793884175564820e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.985
y[1] (analytic) = -0.10811854979573727508123339369638
y[1] (numeric) = -0.10811854979573723931839859176043
absolute error = 3.576283480193595e-17
relative error = 3.3077427388270379612293626717124e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.986
y[1] (analytic) = -0.10770419288530017585614286130485
y[1] (numeric) = -0.10770419288530014003944238589463
absolute error = 3.581670047541022e-17
relative error = 3.3254694655716232226616447993703e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.5MB, time=15.31
NO POLE
x[1] = 0.987
y[1] (analytic) = -0.10728939474092003019160629589258
y[1] (numeric) = -0.10728939474091999432102807704885
absolute error = 3.587057821884373e-17
relative error = 3.3433479893761335511913593606748e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.988
y[1] (analytic) = -0.1068741555567499599447202264325
y[1] (numeric) = -0.10687415555674992402025226428912
absolute error = 3.592446796214338e-17
relative error = 3.3613802864685616475719139259351e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.989
y[1] (analytic) = -0.10645847552771787710206436181151
y[1] (numeric) = -0.10645847552771784112369472661816
absolute error = 3.597836963519335e-17
relative error = 3.3795683675581005227714376834468e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.99
y[1] (analytic) = -0.10604235484952650916302506920007
y[1] (numeric) = -0.10604235484952647313074190134487
absolute error = 3.603228316785520e-17
relative error = 3.3979142785903615877287245898560e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.991
y[1] (analytic) = -0.10562579371865342341433274448283
y[1] (numeric) = -0.1056257937186533873281242545149
absolute error = 3.608620848996793e-17
relative error = 3.4164201015225258305922927676273e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.992
y[1] (analytic) = -0.10520879233235105009556882298469
y[1] (numeric) = -0.10520879233235101395542329163663
absolute error = 3.614014553134806e-17
relative error = 3.4350879551190504206677271322393e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.993
y[1] (analytic) = -0.10479135088864670445539962194774
y[1] (numeric) = -0.10479135088864666826130540015798
absolute error = 3.619409422178976e-17
relative error = 3.4539199957685722944465399428829e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.994
y[1] (analytic) = -0.10437346958634260769829564989752
y[1] (numeric) = -0.10437346958634257145024115883263
absolute error = 3.624805449106489e-17
relative error = 3.4729184183226568648135378422183e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.995
y[1] (analytic) = -0.10395514862501590682149646218136
y[1] (numeric) = -0.10395514862501587051947019325823
absolute error = 3.630202626892313e-17
relative error = 3.4920854569570940481158471523165e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.996
y[1] (analytic) = -0.10353638820501869334198258656421
y[1] (numeric) = -0.10353638820501865698597310147221
absolute error = 3.635600948509200e-17
relative error = 3.5114233860564323107372663157231e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.997
y[1] (analytic) = -0.10311718852747802091321748782766
y[1] (numeric) = -0.10311718852747798450321341855064
absolute error = 3.641000406927702e-17
relative error = 3.5309345211225101175580838443445e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.998
y[1] (analytic) = -0.10269754979429592183142398583288
y[1] (numeric) = -0.1026975497942958853674140346711
absolute error = 3.646400995116178e-17
relative error = 3.5506212197077249157916869128434e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.999
y[1] (analytic) = -0.10227747220814942243116098747727
y[1] (numeric) = -0.10227747220814938591313392706929
absolute error = 3.651802706040798e-17
relative error = 3.5704858823738352252710351612781e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1
y[1] (analytic) = -0.10185695597249055736996783939543
y[1] (numeric) = -0.10185695597249052079791251273987
absolute error = 3.657205532665556e-17
relative error = 3.5905309536771264328921784271179e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.001
y[1] (analytic) = -0.10143600129154638280184505512537
y[1] (numeric) = -0.10143600129154634617575037560259
absolute error = 3.662609467952278e-17
relative error = 3.6107589231807757955398862486196e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.002
y[1] (analytic) = -0.10101460837031898843934161778012
y[1] (numeric) = -0.10101460837031895175919656917381
absolute error = 3.668014504860631e-17
relative error = 3.6311723264953029090933928644284e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.003
y[1] (analytic) = -0.10059277741458550850402050702985
y[1] (numeric) = -0.10059277741458547176981414354857
absolute error = 3.673420636348128e-17
relative error = 3.6517737463480138780608141117377e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.004
y[1] (analytic) = -0.10017050863089813156507554740999
y[1] (numeric) = -0.10017050863089809477679699370854
absolute error = 3.678827855370145e-17
relative error = 3.6725658136824023104485106253245e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.005
y[1] (analytic) = -0.099747802226584109265874123623
y[1] (numeric) = -0.099747802226584072423512574823824
absolute error = 3.6842361548799176e-17
relative error = 3.6935512087884578081106451585956e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.006
y[1] (analytic) = -0.09932465840974576393820175759611
y[1] (numeric) = -0.099324658409745727041746479310491
absolute error = 3.6896455278285619e-17
relative error = 3.7147326624649461908251468569075e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.007
y[1] (analytic) = -0.09890107738926049510398599158961
y[1] (numeric) = -0.098901077389260458153426319938873
absolute error = 3.6950559671650737e-17
relative error = 3.7361129572146741183637334998413e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.008
y[1] (analytic) = -0.09847705937478078486427847162173
y[1] (numeric) = -0.098477059374780747859603813258296
absolute error = 3.7004674658363434e-17
relative error = 3.7576949284738741581025758487248e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.009
y[1] (analytic) = -0.09805260457673420217527557588189
y[1] (numeric) = -0.098052604576734165116475408010269
absolute error = 3.7058800167871621e-17
relative error = 3.7794814658768265057120506913740e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.01
y[1] (analytic) = -0.09762771320632340601115938364475
y[1] (numeric) = -0.097627713206323368898223254042427
absolute error = 3.7112936129602323e-17
relative error = 3.8014755145569153501382596191998e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.011
y[1] (analytic) = -0.09720238547552614741354223146963
y[1] (numeric) = -0.097202385475526110246459758507923
absolute error = 3.7167082472961707e-17
relative error = 3.8236800764853374151982896890864e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.012
y[1] (analytic) = -0.09677662159709527042729955517298
y[1] (numeric) = -0.096776621597095233206060427837743
absolute error = 3.7221239127335237e-17
relative error = 3.8460982118487616767091960402823e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.013
y[1] (analytic) = -0.09635042178455871192257716819244
y[1] (numeric) = -0.096350421784558674647171146104682
absolute error = 3.7275406022087758e-17
relative error = 3.8687330404672478701333375629349e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.014
y[1] (analytic) = -0.09592378625221950030276057951935
y[1] (numeric) = -0.095923786252219462973177492955829
memory used=125.8MB, alloc=4.5MB, time=15.80
absolute error = 3.7329583086563521e-17
relative error = 3.8915877432538045778570257420539e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.015
y[1] (analytic) = -0.09549671521515575309819540735974
y[1] (numeric) = -0.095496715215155715714425157273413
absolute error = 3.7383770250086327e-17
relative error = 3.9146655637170394029877229663153e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.016
y[1] (analytic) = -0.0950692088892206734454493980897
y[1] (numeric) = -0.095069208889220636007481956130103
absolute error = 3.7437967441959597e-17
relative error = 3.9379698095083720901631713341903e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.017
y[1] (analytic) = -0.09464126749104254545190801389892
y[1] (numeric) = -0.094641267491042507959733422432451
absolute error = 3.7492174591466469e-17
relative error = 3.9615038540153710506300427218319e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.018
y[1] (analytic) = -0.09421289123802472844549700676322
y[1] (numeric) = -0.094212891238024690899105378893368
absolute error = 3.7546391627869852e-17
relative error = 3.9852711380028178903373472033547e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.019
y[1] (analytic) = -0.09378408034834565010932685105211
y[1] (numeric) = -0.093784080348345612508708370639526
absolute error = 3.7600618480412584e-17
relative error = 4.0092751713031921194429455894623e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.02
y[1] (analytic) = -0.09335483504095879850105536215796
y[1] (numeric) = -0.093354835040958760846200283840582
absolute error = 3.7654855078317378e-17
relative error = 4.0335195345582868432465926248179e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.021
y[1] (analytic) = -0.09292515553559271295676628402946
y[1] (numeric) = -0.092925155535592675247664933242338
absolute error = 3.7709101350787122e-17
relative error = 4.0580078810138306447577517044295e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.022
y[1] (analytic) = -0.09249504205275097387916308439833
y[1] (numeric) = -0.092495042052750936115805857393575
absolute error = 3.7763357227004755e-17
relative error = 4.0827439383689217758481539983312e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.023
y[1] (analytic) = -0.09206449481371219140987865280807
y[1] (numeric) = -0.09206449481371215359225601667456
absolute error = 3.7817622636133510e-17
relative error = 4.1077315106823254871663506364027e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.024
y[1] (analytic) = -0.09163351404052999298570305327919
y[1] (numeric) = -0.091633514040529955113805545962289
absolute error = 3.7871897507316901e-17
relative error = 4.1329744803376151579413044877423e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.025
y[1] (analytic) = -0.09120209995603300977853294058048
y[1] (numeric) = -0.091202099956032971852351170901619
absolute error = 3.7926181769678861e-17
relative error = 4.1584768100693330443544161379850e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.026
y[1] (analytic) = -0.09077025278382486201884770661456
y[1] (numeric) = -0.09077025278382482403837235429078
absolute error = 3.7980475352323780e-17
relative error = 4.1842425450523643414688147101451e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.027
y[1] (analytic) = -0.0903379727482841432025188813692
y[1] (numeric) = -0.090337972748284105167740697032481
absolute error = 3.8034778184336719e-17
relative error = 4.2102758150568684349465400725529e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.028
y[1] (analytic) = -0.08990526007456440318076077122954
y[1] (numeric) = -0.089905260074564365091670576446221
absolute error = 3.8089090194783319e-17
relative error = 4.2365808366711254534670096478356e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.029
y[1] (analytic) = -0.08947211498859413013303177619162
y[1] (numeric) = -0.089472114988594091989620463481613
absolute error = 3.8143411312710007e-17
relative error = 4.2631619155948771305013873807769e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.03
y[1] (analytic) = -0.08903853771707673142269728665881
y[1] (numeric) = -0.089038537717076693224955819514745
absolute error = 3.8197741467144065e-17
relative error = 4.2900234490057339717996693010449e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.031
y[1] (analytic) = -0.08860452848749051333526652004178
y[1] (numeric) = -0.08860452848749047508318593294808
absolute error = 3.8252080587093700e-17
relative error = 4.3171699280013953196954470847790e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.032
y[1] (analytic) = -0.0881700875280886596990171173154
y[1] (numeric) = -0.088170087528088621392588515767264
absolute error = 3.8306428601548136e-17
relative error = 4.3446059401205335337976838747798e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.033
y[1] (analytic) = -0.08773521506789920938782278001142
y[1] (numeric) = -0.087735215067899171027037340533704
absolute error = 3.8360785439477716e-17
relative error = 4.3723361719453128455561851325135e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.034
y[1] (analytic) = -0.08729991133672503270600068884205
y[1] (numeric) = -0.08729991133672499429084965900812
absolute error = 3.8415151029833930e-17
relative error = 4.4003654117886341579101721428089e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.035
y[1] (analytic) = -0.08686417656514380665499690625521
y[1] (numeric) = -0.086864176565143768185471604705584
absolute error = 3.8469525301549626e-17
relative error = 4.4286985524693712806299453693469e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.036
y[1] (analytic) = -0.08642801098450798908172942671407
y[1] (numeric) = -0.08642801098450795055782124317512
absolute error = 3.8523908183538950e-17
relative error = 4.4573405941789250379887898985099e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.037
y[1] (analytic) = -0.08599141482694479170841000037243
y[1] (numeric) = -0.085991414826944753130110395674886
absolute error = 3.8578299604697544e-17
relative error = 4.4862966474426829792375832960418e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.038
y[1] (analytic) = -0.08555438832535615204366731807811
y[1] (numeric) = -0.085554388325356113410967824175501
absolute error = 3.8632699493902609e-17
relative error = 4.5155719361800236425990799248448e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.039
y[1] (analytic) = -0.08511693171341870417479560828038
y[1] (numeric) = -0.085116931713418665487687828267438
absolute error = 3.8687107780012942e-17
relative error = 4.5451718008667258406419552929437e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.04
y[1] (analytic) = -0.08467904522558374844095415944079
y[1] (numeric) = -0.084679045225583709699429767571722
absolute error = 3.8741524391869068e-17
relative error = 4.5751017018038180356014435630917e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.041
y[1] (analytic) = -0.08424072909707721998714474494805
y[1] (numeric) = -0.084240729097077181191195486654704
absolute error = 3.8795949258293346e-17
relative error = 4.6053672224970561807468154512572e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.5MB, time=16.30
NO POLE
x[1] = 1.042
y[1] (analytic) = -0.08380198356389965619879539131558
y[1] (numeric) = -0.083801983563899617348413083225543
absolute error = 3.8850382308090037e-17
relative error = 4.6359740731514215362109543376632e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.043
y[1] (analytic) = -0.08336280886282616301678039459282
y[1] (numeric) = -0.0833628088628261241119569245475
absolute error = 3.8904823470045320e-17
relative error = 4.6669280942852301632241051157377e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.044
y[1] (analytic) = -0.08292320523140638013270795444689
y[1] (numeric) = -0.082923205231406341173435281519343
absolute error = 3.8959272672927547e-17
relative error = 4.6982352604686933574635637381871e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.045
y[1] (analytic) = -0.08248317290796444506430826026646
y[1] (numeric) = -0.082483172907964406050578414779313
absolute error = 3.9013729845487147e-17
relative error = 4.7299016841918847653431457144916e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.046
y[1] (analytic) = -0.08204271213159895611075632890622
y[1] (numeric) = -0.082042712131598917042561412449397
absolute error = 3.9068194916456823e-17
relative error = 4.7619336198674507073428818674423e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.047
y[1] (analytic) = -0.08160182314218293418776535932193
y[1] (numeric) = -0.081601823142182895065097544770257
absolute error = 3.9122667814551673e-17
relative error = 4.7943374679735250683943994004704e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.048
y[1] (analytic) = -0.0811605061803637835422878353444
y[1] (numeric) = -0.081160506180363744365139366875292
absolute error = 3.9177148468469108e-17
relative error = 4.8271197793425966687043039837807e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.049
y[1] (analytic) = -0.08071876148756325134666307420331
y[1] (numeric) = -0.080718761487563212115026267314156
absolute error = 3.9231636806889154e-17
relative error = 4.8602872596024371735521639289619e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.05
y[1] (analytic) = -0.08027658930597738617205138513412
y[1] (numeric) = -0.080276589305977346885918626659744
absolute error = 3.9286132758474376e-17
relative error = 4.8938467737753196742539872825838e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.051
y[1] (analytic) = -0.07983398987857649534099646948655
y[1] (numeric) = -0.079833989878576456000360217616489
absolute error = 3.9340636251870061e-17
relative error = 4.9278053510422315858312848343295e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.052
y[1] (analytic) = -0.07939096344910510115895916119412
y[1] (numeric) = -0.079390963449105061763811945489843
absolute error = 3.9395147215704277e-17
relative error = 4.9621701896789792686637451030292e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.053
y[1] (analytic) = -0.07894751026208189602466707426329
y[1] (numeric) = -0.07894751026208185657500149567535
absolute error = 3.9449665578587940e-17
relative error = 4.9969486621714810293595665139760e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.054
y[1] (analytic) = -0.07850363056279969641912619209377
y[1] (numeric) = -0.078503630562799656914934922978845
absolute error = 3.9504191269114925e-17
relative error = 5.0321483205178881903488641261550e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.055
y[1] (analytic) = -0.07805932459732539577314190194743
y[1] (numeric) = -0.078059324597325356214417686085289
absolute error = 3.9558724215862141e-17
relative error = 5.0677769017255333454695167535196e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.056
y[1] (analytic) = -0.07761459261249991621319844674039
y[1] (numeric) = -0.077614592612499876599934099350719
absolute error = 3.9613264347389671e-17
relative error = 5.1038423335111226038405531033332e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.057
y[1] (analytic) = -0.07716943485593815918554723553869
y[1] (numeric) = -0.077169434855938119517735643297943
absolute error = 3.9667811592240747e-17
relative error = 5.1403527402129631788893616621110e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.058
y[1] (analytic) = -0.07672385157602895495835592369212
y[1] (numeric) = -0.07672385157602891523599004475015
absolute error = 3.9722365878941970e-17
relative error = 5.1773164489245399900128959502595e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.059
y[1] (analytic) = -0.07627784302193501100177164343899
y[1] (numeric) = -0.076277843021934971224844507435671
absolute error = 3.9776927136003319e-17
relative error = 5.2147419958591090069160690089271e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.06
y[1] (analytic) = -0.0758314094435928592457532360582
y[1] (numeric) = -0.075831409443592819414257944139967
absolute error = 3.9831495291918233e-17
relative error = 5.2526381329555614879708689124341e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.061
y[1] (analytic) = -0.0753845510917128022155288072294
y[1] (numeric) = -0.07538455109171276232945853206564
absolute error = 3.9886070275163760e-17
relative error = 5.2910138347362962293852946191332e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.062
y[1] (analytic) = -0.07493726821777885804453639818669
y[1] (numeric) = -0.074937268217778818103884383986108
absolute error = 3.9940652014200582e-17
relative error = 5.3298783054283618816669773189847e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.063
y[1] (analytic) = -0.07448956107404870436470703651487
y[1] (numeric) = -0.074489561074048664369466599041695
absolute error = 3.9995240437473175e-17
relative error = 5.3692409863597720966321338642280e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.064
y[1] (analytic) = -0.07404142991355362107395090203626
y[1] (numeric) = -0.074041429913553581024115428626463
absolute error = 4.0049835473409797e-17
relative error = 5.4091115636434368958567451684229e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.065
y[1] (analytic) = -0.07359287499009843198070881517098
y[1] (numeric) = -0.07359287499009839187627176474833
absolute error = 4.0104437050422650e-17
relative error = 5.4494999761618919587676478667843e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.066
y[1] (analytic) = -0.07314389655826144532543272742003
y[1] (numeric) = -0.073143896558261405166387630512043
absolute error = 4.0159045096907987e-17
relative error = 5.4904164238666212389578803456278e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.067
y[1] (analytic) = -0.07269449487339439317886036621872
y[1] (numeric) = -0.072694494873394352965200824972601
absolute error = 4.0213659541246119e-17
relative error = 5.5318713764065232514021978520446e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.068
y[1] (analytic) = -0.07224467019162236971695065933549
y[1] (numeric) = -0.072244670191622329448670347533932
absolute error = 4.0268280311801558e-17
relative error = 5.5738755821008848465967202155912e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.5MB, time=16.78
NO POLE
x[1] = 1.069
y[1] (analytic) = -0.07179442276984376837234803724534
y[1] (numeric) = -0.071794422769843728049440700322178
absolute error = 4.0322907336923162e-17
relative error = 5.6164400772729979785152895650409e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.07
y[1] (analytic) = -0.07134375286573021786224518548707
y[1] (numeric) = -0.071343752865730177484704640543011
absolute error = 4.0377540544944059e-17
relative error = 5.6595761959614130871943628298611e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.071
y[1] (analytic) = -0.07089266073772651709251529291809
y[1] (numeric) = -0.070892660737726476660335428736204
absolute error = 4.0432179864181886e-17
relative error = 5.7032955800268529322732841258624e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.072
y[1] (analytic) = -0.07044114664505056893798631600519
y[1] (numeric) = -0.070441146645050528451161093066337
absolute error = 4.0486825222938853e-17
relative error = 5.7476101896736504984919510490134e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.073
y[1] (analytic) = -0.069989210847693312898731253836
y[1] (numeric) = -0.069989210847693272357254704334245
absolute error = 4.0541476549501755e-17
relative error = 5.7925323144057011406254772501308e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.074
y[1] (analytic) = -0.06953685360641865663224990339991
y[1] (numeric) = -0.069536853606418616036116131257753
absolute error = 4.0596133772142157e-17
relative error = 5.8380745844380421297783189057467e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.075
y[1] (analytic) = -0.06908407518276340636141903986703
y[1] (numeric) = -0.069084075182763365710622220750617
absolute error = 4.0650796819116413e-17
relative error = 5.8842499825862698357097877759339e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.076
y[1] (analytic) = -0.06863087583903719615808944208928
y[1] (numeric) = -0.068630875839037155452623823423511
absolute error = 4.0705465618665769e-17
relative error = 5.9310718566573395600460003155831e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.077
y[1] (analytic) = -0.06817725583832241610220965935509
y[1] (numeric) = -0.068177255838322375342069560338591
absolute error = 4.0760140099016499e-17
relative error = 5.9785539323665819725519961495215e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.078
y[1] (analytic) = -0.06772321544447413931635789154769
y[1] (numeric) = -0.067723215444474098501537703167771
absolute error = 4.0814820188379919e-17
relative error = 6.0267103268071709912675687749491e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.079
y[1] (analytic) = -0.06726875492212004787556483128513
y[1] (numeric) = -0.067268754922120007006059016332564
absolute error = 4.0869505814952566e-17
relative error = 6.0755555624998505819950754966282e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.08
y[1] (analytic) = -0.06681387453666035759231179335448
y[1] (numeric) = -0.066813874536660316668114886438304
absolute error = 4.0924196906916176e-17
relative error = 6.1251045820522388015629516202708e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.081
y[1] (analytic) = -0.06635857455426774167658993379385
y[1] (numeric) = -0.066358574554267700697696541355982
absolute error = 4.0978893392437868e-17
relative error = 6.1753727634588525724880614374570e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.082
y[1] (analytic) = -0.06590285524188725327090783831915
y[1] (numeric) = -0.065902855241887212237312638648963
absolute error = 4.1033595199670187e-17
relative error = 6.2263759360747102229609126340975e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.083
y[1] (analytic) = -0.06544671686723624686013623743884
y[1] (numeric) = -0.065446716867236205771833980687641
absolute error = 4.1088302256751199e-17
relative error = 6.2781303972973945239555116773479e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.084
y[1] (analytic) = -0.06499015969880429855608008354546
y[1] (numeric) = -0.064990159698804257413065591740852
absolute error = 4.1143014491804608e-17
relative error = 6.3306529299945027039124244014347e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.085
y[1] (analytic) = -0.06453318400585312525666970351655
y[1] (numeric) = -0.064533184005853084058937870576748
absolute error = 4.1197731832939802e-17
relative error = 6.3839608207156165994022482367719e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.086
y[1] (analytic) = -0.06407579005841650267966421889792
y[1] (numeric) = -0.064075790058416461427210010645977
absolute error = 4.1252454208251943e-17
relative error = 6.4380718787303252420965719403304e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.087
y[1] (analytic) = -0.06361797812730018227076190457678
y[1] (numeric) = -0.06361797812730014096358035875466
absolute error = 4.1307181545822120e-17
relative error = 6.4930044559363478869830424452801e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.088
y[1] (analytic) = -0.06315974848408180698601363597923
y[1] (numeric) = -0.063159748484081765624099862261873
absolute error = 4.1361913773717357e-17
relative error = 6.5487774676844742935644575985376e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.089
y[1] (analytic) = -0.06270110140111082594843705424517
y[1] (numeric) = -0.062701101401110784531786234254407
absolute error = 4.1416650819990763e-17
relative error = 6.6054104145700089522098773552089e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.09
y[1] (analytic) = -0.06224203715150840797873055854011
y[1] (numeric) = -0.062242037151508366507337945858545
absolute error = 4.1471392612681565e-17
relative error = 6.6629234052434166379764812648890e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.091
y[1] (analytic) = -0.061782556009167353999987714658
y[1] (numeric) = -0.061782556009167312473848634842735
absolute error = 4.1526139079815265e-17
relative error = 6.7213371802962598814290709292911e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.092
y[1] (analytic) = -0.06132265824875200831631414934811
y[1] (numeric) = -0.061322658248751966735423999944445
absolute error = 4.1580890149403665e-17
relative error = 6.7806731372819910931555216982362e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.093
y[1] (analytic) = -0.06086234414569816876525048036233
y[1] (numeric) = -0.060862344145698127129604730917342
absolute error = 4.1635645749444988e-17
relative error = 6.8409533569350451452555127487062e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.094
y[1] (analytic) = -0.06040161397621299574390631306342
y[1] (numeric) = -0.06040161397621295405350050513944
absolute error = 4.1690405807923980e-17
relative error = 6.9022006306557052561181525882853e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.095
y[1] (analytic) = -0.05994046801727492010871181555909
y[1] (numeric) = -0.059940468017274878363541562747127
absolute error = 4.1745170252811963e-17
relative error = 6.9644384893326076715774324043843e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.5MB, time=17.27
NO POLE
x[1] = 1.096
y[1] (analytic) = -0.05947890654663354994869486572916
y[1] (numeric) = -0.059478906546633508148755853662213
absolute error = 4.1799939012066947e-17
relative error = 7.0276912335794754369747281011104e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.097
y[1] (analytic) = -0.0590169298428095762321932451912
y[1] (numeric) = -0.059016929842809534377481231557462
absolute error = 4.1854712013633738e-17
relative error = 7.0919839654676945223405807195206e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.098
y[1] (analytic) = -0.05855453818509467732691283720267
y[1] (numeric) = -0.058554538185094635417423651758712
absolute error = 4.1909489185443958e-17
relative error = 7.1573426218417700929010358891113e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.099
y[1] (analytic) = -0.058091731853551422393244267722944
y[1] (numeric) = -0.058091731853551380428973812306717
absolute error = 4.1964270455416227e-17
relative error = 7.2237940093105956556389110369194e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1
y[1] (analytic) = -0.057628511129013173650751911353718
y[1] (numeric) = -0.057628511129013131631696159897506
absolute error = 4.2019055751456212e-17
relative error = 7.2913658410136585448502064780307e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.101
y[1] (analytic) = -0.057164876293083987517750666641133
y[1] (numeric) = -0.057164876293083945443905665184486
absolute error = 4.2073845001456647e-17
relative error = 7.3600867752681364939504413140184e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.102
y[1] (analytic) = -0.056700827628138514623887388254397
y[1] (numeric) = -0.056700827628138472495249254956834
absolute error = 4.2128638133297563e-17
relative error = 7.4299864562101532261699363903601e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.103
y[1] (analytic) = -0.056236365417321898695645346851427
y[1] (numeric) = -0.056236365417321856512210272005177
absolute error = 4.2183435074846250e-17
relative error = 7.5010955565511935211777533162758e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.104
y[1] (analytic) = -0.055771489944549674314691571002634
y[1] (numeric) = -0.05577148994454963207645581704521
absolute error = 4.2238235753957424e-17
relative error = 7.5734458225793192439732531643958e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.105
y[1] (analytic) = -0.055306201494507663548988409364287
y[1] (numeric) = -0.055306201494507621255948310891004
absolute error = 4.2293040098473283e-17
relative error = 7.6470701215438401057428770951000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.106
y[1] (analytic) = -0.054840500352651871456592135373981
y[1] (numeric) = -0.054840500352651829108744099150376
absolute error = 4.2347848036223605e-17
relative error = 7.7220024915720575114130356267813e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.107
y[1] (analytic) = -0.054374386805208380462062901078916
y[1] (numeric) = -0.054374386805208338059403406053085
absolute error = 4.2402659495025831e-17
relative error = 7.7982781942773451233696435053517e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.108
y[1] (analytic) = -0.053907861139173243605411831302025
y[1] (numeric) = -0.053907861139173201147937428616857
absolute error = 4.2457474402685168e-17
relative error = 7.8759337702293999529266068924366e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.109
y[1] (analytic) = -0.053440923642312376663512534199191
y[1] (numeric) = -0.053440923642312334151219847204539
absolute error = 4.2512292686994652e-17
relative error = 7.9550070974699857794174499291733e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.11
y[1] (analytic) = -0.052973574603161449143905789361453
y[1] (numeric) = -0.052973574603161406576791513626172
absolute error = 4.2567114275735281e-17
relative error = 8.0355374532710667215863752420365e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.111
y[1] (analytic) = -0.052505814311025774150927659966684
y[1] (numeric) = -0.052505814311025731528988563290626
absolute error = 4.2621939096676058e-17
relative error = 8.1175655793468597870460468006002e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.112
y[1] (analytic) = -0.052037643055980197124092761084942
y[1] (numeric) = -0.052037643055980154447325683510797
absolute error = 4.2676767077574145e-17
relative error = 8.2011337507473266226165244895016e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.113
y[1] (analytic) = -0.051569061128868983448665902087226
y[1] (numeric) = -0.051569061128868940717067755912399
absolute error = 4.2731598146174827e-17
relative error = 8.2862858486778154854482246337390e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.114
y[1] (analytic) = -0.051100068821305704938356807199031
y[1] (numeric) = -0.051100068821305662151924576987244
absolute error = 4.2786432230211787e-17
relative error = 8.3730674375084944258916671586489e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.115
y[1] (analytic) = -0.050630666425673125190074104572734
y[1] (numeric) = -0.050630666425673082348804847165731
absolute error = 4.2841269257407003e-17
relative error = 8.4615258462574021670389466460571e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.116
y[1] (analytic) = -0.050160854235123083810676260829238
y[1] (numeric) = -0.050160854235123040914567105358256
absolute error = 4.2896109155470982e-17
relative error = 8.5517102548534228110127276236672e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.117
y[1] (analytic) = -0.049690632543576379515658624832281
y[1] (numeric) = -0.049690632543576336564706772729503
absolute error = 4.2950951852102778e-17
relative error = 8.6436717855094289223597729569715e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.118
y[1] (analytic) = -0.04922000164572265209971723151142
y[1] (numeric) = -0.049220001645722609093919956521306
absolute error = 4.3005797274990114e-17
relative error = 8.7374635995623602662228919689572e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.119
y[1] (analytic) = -0.048748961837020263279131503836493
y[1] (numeric) = -0.048748961837020220218486152027066
absolute error = 4.3060645351809427e-17
relative error = 8.8331410001656499809228073276480e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.12
y[1] (analytic) = -0.048277513413696176405909478567803
y[1] (numeric) = -0.048277513413696133290413468341779
absolute error = 4.3115496010226024e-17
relative error = 8.9307615412508580960161097887741e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.121
y[1] (analytic) = -0.047805656672745835053640669158818
y[1] (numeric) = -0.047805656672745791883291491264717
absolute error = 4.3170349177894101e-17
relative error = 9.0303851432095611443025341216744e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.122
y[1] (analytic) = -0.047333391911933040475003167171692
y[1] (numeric) = -0.047333391911932997249798384714796
absolute error = 4.3225204782456896e-17
relative error = 9.1320742157841333310895712557284e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=141.1MB, alloc=4.5MB, time=17.76
x[1] = 1.123
y[1] (analytic) = -0.046860719429789827930873071776703
y[1] (numeric) = -0.046860719429789784650810320229955
absolute error = 4.3280062751546748e-17
relative error = 9.2358937886969740641006413042654e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.124
y[1] (analytic) = -0.046387639525616341890985825344597
y[1] (numeric) = -0.046387639525616298556062812559429
absolute error = 4.3334923012785168e-17
relative error = 9.3419116505927420006580116344666e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.125
y[1] (analytic) = -0.04591415249948071010610052180292
y[1] (numeric) = -0.045914152499480666716315028019953
absolute error = 4.3389785493782967e-17
relative error = 9.4501984969174169679989901543583e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.126
y[1] (analytic) = -0.045440258652218916551619743312041
y[1] (numeric) = -0.045440258652218873106969621171701
absolute error = 4.3444650122140340e-17
relative error = 9.5608280874120579045086586604183e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.127
y[1] (analytic) = -0.044965958285434673242618969922278
y[1] (numeric) = -0.04496595828543462974310214447537
absolute error = 4.3499516825446908e-17
relative error = 9.6738774139585559671071117543535e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.128
y[1] (analytic) = -0.044491251701499290920241096198284
y[1] (numeric) = -0.04449125170149924736585556491639
absolute error = 4.3554385531281894e-17
relative error = 9.7894268795800532886576778213492e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.129
y[1] (analytic) = -0.044016139203551548609413078338047
y[1] (numeric) = -0.044016139203551505000156911123931
absolute error = 4.3609256167214116e-17
relative error = 9.9075604894705071570871682116689e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.13
y[1] (analytic) = -0.04354062109549756204784322507148
y[1] (numeric) = -0.04354062109549751838371456426932
absolute error = 4.3664128660802160e-17
relative error = 1.0028366055007279074486732328967e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.131
y[1] (analytic) = -0.043064697682010650986259135593298
y[1] (numeric) = -0.04306469768201060726725619599886
absolute error = 4.3719002939594438e-17
relative error = 1.0151935411787903698383738603780e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.132
y[1] (analytic) = -0.042588369268531205359847777967203
y[1] (numeric) = -0.042588369268531161585968846837971
absolute error = 4.3773878931129232e-17
relative error = 1.0278364652828819780532653977630e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.133
y[1] (analytic) = -0.042111636161266550330860691830104
y[1] (numeric) = -0.042111636161266506502104128895217
absolute error = 4.3828756562934887e-17
relative error = 1.0407754378170589827987610194390e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.134
y[1] (analytic) = -0.041634498667190810202348789824086
y[1] (numeric) = -0.0416344986671907663187130272943
absolute error = 4.3883635762529786e-17
relative error = 1.0540209962252136091135989360824e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.135
y[1] (analytic) = -0.041156957094044771202992722990132
y[1] (numeric) = -0.041156957094044727264476265567597
absolute error = 4.3938516457422535e-17
relative error = 1.0675841840547595554898887593030e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.136
y[1] (analytic) = -0.040679011750335743142996266366512
y[1] (numeric) = -0.040679011750335699149597691254512
absolute error = 4.3993398575112000e-17
relative error = 1.0814765817104419124287029355767e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.137
y[1] (analytic) = -0.04020066294533741994101167224728
y[1] (numeric) = -0.040200662945337375892729629159867
absolute error = 4.4048282043087413e-17
relative error = 1.0957103394782759466726341758159e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.138
y[1] (analytic) = -0.039721910989089739022067429968436
y[1] (numeric) = -0.039721910989089694918900641139992
absolute error = 4.4103166788828444e-17
relative error = 1.1102982130175481050585310295469e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.139
y[1] (analytic) = -0.039242756192398739586470362700503
y[1] (numeric) = -0.039242756192398695428417622895185
absolute error = 4.4158052739805318e-17
relative error = 1.1252536015387895628125746495480e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.14
y[1] (analytic) = -0.038763198866836419749655483533878
y[1] (numeric) = -0.038763198866836375536715660054979
absolute error = 4.4212939823478899e-17
relative error = 1.1405905889078975504272629189888e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.141
y[1] (analytic) = -0.038283239324740592552958525146076
y[1] (numeric) = -0.03828323932474054828513055784529
absolute error = 4.4267827967300786e-17
relative error = 1.1563239879414447918760256933258e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.142
y[1] (analytic) = -0.037802877879214740845287549535573
y[1] (numeric) = -0.037802877879214696522570450822203
absolute error = 4.4322717098713370e-17
relative error = 1.1724693881860103059617420431070e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.143
y[1] (analytic) = -0.037322114844127871035671536693956
y[1] (numeric) = -0.037322114844127826658064391544009
absolute error = 4.4377607145149947e-17
relative error = 1.1890432075054868456531473472556e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.144
y[1] (analytic) = -0.036840950534114365716665343664106
y[1] (numeric) = -0.036840950534114321284167309629268
absolute error = 4.4432498034034838e-17
relative error = 1.2060627478352050754798924242585e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.145
y[1] (analytic) = -0.036359385264573835158591918195729
y[1] (numeric) = -0.036359385264573790671202225412329
absolute error = 4.4487389692783400e-17
relative error = 1.2235462555008858012366339532060e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.146
y[1] (analytic) = -0.035877419351670967674604144159178
y[1] (numeric) = -0.035877419351670923132322095356966
absolute error = 4.4542282048802212e-17
relative error = 1.2415129865444930317119618126025e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.147
y[1] (analytic) = -0.03539505311233537885655018901089
y[1] (numeric) = -0.035395053112335334259375159521804
absolute error = 4.4597175029489086e-17
relative error = 1.2599832775486559425028663404497e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.148
y[1] (analytic) = -0.03491228686426145968162771691933
y[1] (numeric) = -0.034912286864261415029559154686092
absolute error = 4.4652068562233238e-17
relative error = 1.2789786225073118045101138097310e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.149
y[1] (analytic) = -0.034429120925908223489813824654576
y[1] (numeric) = -0.034429120925908178782851250239304
absolute error = 4.4706962574415272e-17
relative error = 1.2985217563534385837312952849525e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=144.9MB, alloc=4.5MB, time=18.25
x[1] = 1.15
y[1] (analytic) = -0.033945555616499151832059051018522
y[1] (numeric) = -0.033945555616499107070202057611176
absolute error = 4.4761856993407346e-17
relative error = 1.3186367458263360438053640950304e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.151
y[1] (analytic) = -0.033461591256022039189235304441468
y[1] (numeric) = -0.033461591256021994372483557868192
absolute error = 4.4816751746573276e-17
relative error = 1.3393490884420406426826892013227e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.152
y[1] (analytic) = -0.032977228165228836561829047394998
y[1] (numeric) = -0.032977228165228791690182286126451
absolute error = 4.4871646761268547e-17
relative error = 1.3606858204226265459726199380469e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.153
y[1] (analytic) = -0.032492466665635493930372570467812
y[1] (numeric) = -0.032492466665635449003830605627312
absolute error = 4.4926541964840500e-17
relative error = 1.3826756345450210228467613546835e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.154
y[1] (analytic) = -0.032007307079521801586607683317828
y[1] (numeric) = -0.032007307079521756605170398689485
absolute error = 4.4981437284628343e-17
relative error = 1.4053490089894928663383586371634e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.155
y[1] (analytic) = -0.031521749729931230335377644250632
y[1] (numeric) = -0.031521749729931185299044996287338
absolute error = 4.5036332647963294e-17
relative error = 1.4287383484045429560947433764374e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.156
y[1] (analytic) = -0.031035794940670770567244644876972
y[1] (numeric) = -0.031035794940670725476016662708352
absolute error = 4.5091227982168620e-17
relative error = 1.4528781385611923400232378663997e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.157
y[1] (analytic) = -0.030549443036310770201831661170765
y[1] (numeric) = -0.030549443036310725055708446610969
absolute error = 4.5146123214559796e-17
relative error = 1.4778051161489115865197844737318e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.158
y[1] (analytic) = -0.030062694342184771501888977280211
y[1] (numeric) = -0.030062694342184726300870704835697
absolute error = 4.5201018272444514e-17
relative error = 1.5035584554714127574455407439353e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.159
y[1] (analytic) = -0.029575549184389346758087183638279
y[1] (numeric) = -0.029575549184389301502174100515409
absolute error = 4.5255913083122870e-17
relative error = 1.5301799740378102250903733467620e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.16
y[1] (analytic) = -0.02908800788978393284453994627074
y[1] (numeric) = -0.029088007889783887533732372383403
absolute error = 4.5310807573887337e-17
relative error = 1.5577143593185372967332908817013e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.161
y[1] (analytic) = -0.028600070785990664645061339711166
y[1] (numeric) = -0.028600070785990619279359667688176
absolute error = 4.5365701672022990e-17
relative error = 1.5862094192523722597731813565593e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.162
y[1] (analytic) = -0.028111738201394207350164031597559
y[1] (numeric) = -0.028111738201394161929568726790088
absolute error = 4.5420595304807471e-17
relative error = 1.6157163594585135747978283967620e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.163
y[1] (analytic) = -0.027623010465141587624806102846445
y[1] (numeric) = -0.027623010465141542149317703335307
absolute error = 4.5475488399511138e-17
relative error = 1.6462900905351426798708018782703e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.164
y[1] (analytic) = -0.027133887907142023646895783272007
y[1] (numeric) = -0.027133887907141978116514899874805
absolute error = 4.5530380883397202e-17
relative error = 1.6779895693242309303062268296681e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.165
y[1] (analytic) = -0.02664437085806675401656487864052
y[1] (numeric) = -0.0266443708580667084312921949188
absolute error = 4.5585272683721720e-17
relative error = 1.7108781786048622942390108367372e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.166
y[1] (analytic) = -0.026154459649348865536223161421825
y[1] (numeric) = -0.026154459649348819896059433688074
absolute error = 4.5640163727733751e-17
relative error = 1.7450241503601469497161791916642e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.167
y[1] (analytic) = -0.025664154613183119861407493916606
y[1] (numeric) = -0.025664154613183074166353551241198
absolute error = 4.5695053942675408e-17
relative error = 1.7805010385653946066562378046134e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.168
y[1] (analytic) = -0.025173456082525779022440949000987
y[1] (numeric) = -0.025173456082525733272497693218968
absolute error = 4.5749943255782019e-17
relative error = 1.8173882483915056405152150358870e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.169
y[1] (analytic) = -0.024682364391094429816918690434552
y[1] (numeric) = -0.024682364391094384012087096152431
absolute error = 4.5804831594282121e-17
relative error = 1.8557716298365980486570003289097e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.17
y[1] (analytic) = -0.024190879873367807073038871524557
y[1] (numeric) = -0.024190879873367761213319986126944
absolute error = 4.5859718885397613e-17
relative error = 1.8957441451265870165048548645607e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.171
y[1] (analytic) = -0.023699002864585615783798307923677
y[1] (numeric) = -0.023699002864585569869193251579828
absolute error = 4.5914605056343849e-17
relative error = 1.9374066208058024015951179674440e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.172
y[1] (analytic) = -0.023206733700748352112074177461216
y[1] (numeric) = -0.023206733700748306142584143131549
absolute error = 4.5969490034329667e-17
relative error = 1.9808685973264423593333750153471e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.173
y[1] (analytic) = -0.022714072718617123266614497165659
y[1] (numeric) = -0.022714072718617077242240750608072
absolute error = 4.6024373746557587e-17
relative error = 2.0262492912085578636313875887310e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.174
y[1] (analytic) = -0.022221020255713466248961625027036
y[1] (numeric) = -0.022221020255713420169705504803254
absolute error = 4.6079256120223782e-17
relative error = 2.0736786875650270291890031214713e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.175
y[1] (analytic) = -0.021727576650319165471334531571237
y[1] (numeric) = -0.021727576650319119337197449052975
absolute error = 4.6134137082518262e-17
relative error = 2.1232987840749639395609577268011e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.176
y[1] (analytic) = -0.02123374224147606924549708397022
y[1] (numeric) = -0.021233742241476023056480523345329
absolute error = 4.6189016560624891e-17
relative error = 2.1752650114779790797607183215683e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.177
y[1] (analytic) = -0.020739517368985905142641083193246
y[1] (numeric) = -0.020739517368985858898746601471678
memory used=148.7MB, alloc=4.5MB, time=18.73
absolute error = 4.6243894481721568e-17
relative error = 2.2297478605203793051699526592709e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.178
y[1] (analytic) = -0.020244902373410094224314292610147
y[1] (numeric) = -0.020244902373410047925543519629926
absolute error = 4.6298770772980221e-17
relative error = 2.2869347512285166931853172294790e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.179
y[1] (analytic) = -0.019749897596069564144425194489012
y[1] (numeric) = -0.019749897596069517790779832922052
absolute error = 4.6353645361566960e-17
relative error = 2.3470321876905234923692470291126e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.18
y[1] (analytic) = -0.019254503379044561122357708983091
y[1] (numeric) = -0.019254503379044514713839534340939
absolute error = 4.6408518174642152e-17
relative error = 2.4102682505512129179684664059615e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.181
y[1] (analytic) = -0.018758720065174460787230608475444
y[1] (numeric) = -0.018758720065174414323841469114956
absolute error = 4.6463389139360488e-17
relative error = 2.4768954906267677097412514689693e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.182
y[1] (analytic) = -0.018262547998057577893337858541851
y[1] (numeric) = -0.018262547998057531375079675670734
absolute error = 4.6518258182871117e-17
relative error = 2.5471943010262775774923227033864e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.183
y[1] (analytic) = -0.017765987522050974906807615300975
y[1] (numeric) = -0.017765987522050928333682382983247
absolute error = 4.6573125232317728e-17
relative error = 2.6214768627137448724154770418250e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.184
y[1] (analytic) = -0.017269038982270269463519107544385
y[1] (numeric) = -0.017269038982270222835528892705819
absolute error = 4.6627990214838566e-17
relative error = 2.7000917805970827730340503904322e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.185
y[1] (analytic) = -0.016771702724589440698318130775781
y[1] (numeric) = -0.016771702724589394015465073209119
absolute error = 4.6682853057566662e-17
relative error = 2.7834295553738670797085076890130e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.186
y[1] (analytic) = -0.016273979095640634445573379135566
y[1] (numeric) = -0.016273979095640587707859691505777
absolute error = 4.6737713687629789e-17
relative error = 2.8719290723526600616545332097968e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.187
y[1] (analytic) = -0.015775868442813967311117340144636
y[1] (numeric) = -0.015775868442813920518545307993983
absolute error = 4.6792572032150653e-17
relative error = 2.9660853348117921948045280190170e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.188
y[1] (analytic) = -0.015277371114257329615616976264478
y[1] (numeric) = -0.015277371114257282768188958017575
absolute error = 4.6847428018246903e-17
relative error = 3.0664587295734008935467924106406e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.189
y[1] (analytic) = -0.01477848745887618720942091644097
y[1] (numeric) = -0.014778487458876140307139343409702
absolute error = 4.6902281573031268e-17
relative error = 3.1736861910628773599000418115875e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.19
y[1] (analytic) = -0.014279217826333382158931380072022
y[1] (numeric) = -0.014279217826333335201798756460341
absolute error = 4.6957132623611681e-17
relative error = 3.2884947337251549205434912602589e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.191
y[1] (analytic) = -0.013779562567048932304550555214181
y[1] (numeric) = -0.01377956256704888529256945812292
absolute error = 4.7011981097091261e-17
relative error = 3.4117179604460747159303386893903e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.192
y[1] (analytic) = -0.013279522032199829690252652318608
y[1] (numeric) = -0.013279522032199782623425731750073
absolute error = 4.7066826920568535e-17
relative error = 3.5443163395822645195415465244274e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.193
y[1] (analytic) = -0.012779096573719837864834354358844
y[1] (numeric) = -0.012779096573719790743164333221409
absolute error = 4.7121670021137435e-17
relative error = 3.6874022939965071665402347437890e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.194
y[1] (analytic) = -0.012278286544299288054897883882493
y[1] (numeric) = -0.012278286544299240878387557995076
absolute error = 4.7176510325887417e-17
relative error = 3.8422714892405813720839638698180e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.195
y[1] (analytic) = -0.011777092297384874209622407281705
y[1] (numeric) = -0.011777092297384826978274645378142
absolute error = 4.7231347761903563e-17
relative error = 4.0104421846461519018481673637597e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.196
y[1] (analytic) = -0.011275514187179446917380996433017
y[1] (numeric) = -0.011275514187179399631198740166364
absolute error = 4.7286182256266653e-17
relative error = 4.1937051802065286632952043035123e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.197
y[1] (analytic) = -0.010773552568641806194261867803346
y[1] (numeric) = -0.01077355256864175885324813175004
absolute error = 4.7341013736053306e-17
relative error = 4.3941878442072209344825282766904e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.198
y[1] (analytic) = -0.010271207797486493144554119153336
y[1] (numeric) = -0.010271207797486445748711990817378
absolute error = 4.7395842128335958e-17
relative error = 4.6144370810932651209093055140344e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.199
y[1] (analytic) = -0.009768480230183580493259684091436
y[1] (numeric) = -0.0097684802301835330425923239083268
absolute error = 4.74506673601831092e-17
relative error = 4.8575281151274195487215645197888e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.2
y[1] (analytic) = -0.009265370223958461990694724937489
y[1] (numeric) = -0.0092653702239584144852053662782256
absolute error = 4.75054893586592634e-17
relative error = 5.1272089738863561092027207552037e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.201
y[1] (analytic) = -0.008761878136791640689245184645233
y[1] (numeric) = -0.0087618781367915931289371338200815
absolute error = 4.75603080508251515e-17
relative error = 5.4280951307821351476257509824730e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.202
y[1] (analytic) = -0.008258004327418516092342718902568
y[1] (numeric) = -0.0082580043274184684772193551648663
absolute error = 4.76151233637377017e-17
relative error = 5.7659358697166452515359009291096e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.203
y[1] (analytic) = -0.00775374915532917017572872997933
y[1] (numeric) = -0.0077537491553291225057935055291054
absolute error = 4.76699352244502246e-17
relative error = 6.1479852223084319296624315948435e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.204
y[1] (analytic) = -0.00724911298076815228107572441877
y[1] (numeric) = -0.0072491129807681045563321644063144
absolute error = 4.77247435600124556e-17
relative error = 6.5835287278079231964469647126961e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=4.5MB, time=19.20
NO POLE
x[1] = 1.205
y[1] (analytic) = -0.0067440961647342628820367172723
y[1] (numeric) = -0.0067440961647342151024884198016551
absolute error = 4.77795482974706449e-17
relative error = 7.0846481322902813139911348137140e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.206
y[1] (analytic) = -0.00623869906898033622279490625336
y[1] (numeric) = -0.0062386990689802883884455423856638
absolute error = 4.78343493638676962e-17
relative error = 7.6673596265776969232827656714346e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.207
y[1] (analytic) = -0.00573292205601302182918733993438
y[1] (numeric) = -0.0057329220560129739400406536911683
absolute error = 4.78891466862432117e-17
relative error = 8.3533573661644835220199962699219e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.208
y[1] (analytic) = -0.00522676548909256489247780492925
y[1] (numeric) = -0.005226765489092516948537613295691
absolute error = 4.79439401916335590e-17
relative error = 9.1727743078745353161698780225700e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.209
y[1] (analytic) = -0.00472022973223258552585565788989
y[1] (numeric) = -0.0047202297322325375271258508178532
absolute error = 4.79987298070720368e-17
relative error = 1.0168727483602685372632915873873e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.21
y[1] (analytic) = -0.0042133151501998568937388290976
y[1] (numeric) = -0.004213315150199808840223369508677
absolute error = 4.80535154595889230e-17
relative error = 1.1405155737592884311461273415783e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.211
y[1] (analytic) = -0.00370602210851408221396072544692
y[1] (numeric) = -0.0037060221085140341056636492353567
absolute error = 4.81082970762115633e-17
relative error = 1.2981114431478778230048234202616e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.212
y[1] (analytic) = -0.00319835097344767063292226169862
y[1] (numeric) = -0.0031983509734476224698476777341556
absolute error = 4.81630745839644644e-17
relative error = 1.5058720879543421294450638522922e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.213
y[1] (analytic) = -0.00269030211202551197379175001812
y[1] (numeric) = -0.0026903021120254637559438401487148
absolute error = 4.82178479098694052e-17
relative error = 1.7922837622710886916292770859499e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.214
y[1] (analytic) = -0.00218187589202475035783687901386
y[1] (numeric) = -0.0021818758920247020852198980683519
absolute error = 4.82726169809455081e-17
relative error = 2.2124364248852483387688234313631e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.215
y[1] (analytic) = -0.00167307268197455669897451474533
y[1] (numeric) = -0.0016730726819745083715927905360089
absolute error = 4.83273817242093211e-17
relative error = 2.8885404827226902955470131204654e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.216
y[1] (analytic) = -0.00116389285115590007162555748044
y[1] (numeric) = -0.001163892851155851689483490805505
absolute error = 4.83821420666749350e-17
relative error = 4.1569240689660604676282072373891e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.217
y[1] (analytic) = -0.00065433676960131795196358934486
y[1] (numeric) = -0.00065433676960126951506565399078287
absolute error = 4.843689793535407713e-17
relative error = 7.4024417067172128093980741933239e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.218
y[1] (analytic) = -0.00014440480809468533264754942018
y[1] (numeric) = -0.00014440480809463684099829216403246
absolute error = 4.849164925725614754e-17
relative error = 3.3580356427924806597843094545072e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.219
y[1] (analytic) = 0.00036590266182901728886982568855
y[1] (numeric) = 0.0003659026618290658352657850769428
absolute error = 4.854639595938839280e-17
relative error = 1.3267571139472509668539841753858e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.22
y[1] (analytic) = 0.00087658526788393704836455628492
y[1] (numeric) = 0.00087658526788398564950252504086264
absolute error = 4.860113796875594264e-17
relative error = 5.5443708386838761115240773372618e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.221
y[1] (analytic) = 0.00138764263703358297910022792505
y[1] (numeric) = 0.0013876426370336316349754402869317
absolute error = 4.86558752123618817e-17
relative error = 3.5063692851334848711337781180241e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.222
y[1] (analytic) = 0.00189907439549106140222681098544
y[1] (numeric) = 0.0018990743954911101128344281928705
absolute error = 4.87106076172074305e-17
relative error = 2.5649657397761857439828083487424e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.223
y[1] (analytic) = 0.00241088016871931244322174712547
y[1] (numeric) = 0.0024108801687193612085568574174018
absolute error = 4.87653351102919318e-17
relative error = 2.0227191605378148843282131234445e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.224
y[1] (analytic) = 0.00292305958143134767427405663282
y[1] (numeric) = 0.0029230595814313964943316752458209
absolute error = 4.88200576186130009e-17
relative error = 1.6701697744630666979697566678839e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.225
y[1] (analytic) = 0.00343561225759048888251071892085
y[1] (numeric) = 0.0034356122575905377572857880874923
absolute error = 4.88747750691666423e-17
relative error = 1.4225928715088522735570805922114e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.226
y[1] (analytic) = 0.00394853782041060796396307669095
y[1] (numeric) = 0.0039485378204106568934504656381881
absolute error = 4.89294873889472381e-17
relative error = 1.2391799094850525378486542929371e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.227
y[1] (analytic) = 0.00446183589235636794316951248223
y[1] (numeric) = 0.0044618358923564169273640174299812
absolute error = 4.89841945049477512e-17
relative error = 1.0978484123287287275662302852949e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.228
y[1] (analytic) = 0.00497550609514346511830914450907
y[1] (numeric) = 0.0049755060951435141572054886688166
absolute error = 4.90388963441597466e-17
relative error = 9.8560619576018719569451937345943e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.229
y[1] (analytic) = 0.00548954804973887233175978683324
y[1] (numeric) = 0.0054895480497389214253526204067796
absolute error = 4.90935928335735396e-17
relative error = 8.9431028545070902868278620556762e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.23
y[1] (analytic) = 0.00600396137636108336597191703613
y[1] (numeric) = 0.0060039613763611325142558172143408
absolute error = 4.91482839001782108e-17
relative error = 8.1859760280413887562672740667559e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.231
y[1] (analytic) = 0.006518745694480358464548892647575
y[1] (numeric) = 0.0065187456944804076675183636093588
absolute error = 4.92029694709617838e-17
relative error = 7.5479197650897158392973606332701e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.5MB, time=19.70
NO POLE
x[1] = 1.232
y[1] (analytic) = 0.007033900622818970978422155655023
y[1] (numeric) = 0.0070339006228190202360716285662512
absolute error = 4.92576494729112282e-17
relative error = 7.0028924368240900246868829212184e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.233
y[1] (analytic) = 0.007549425779351455137008662459722
y[1] (numeric) = 0.0075494257793515044493324954723644
absolute error = 4.93123238330126424e-17
relative error = 6.5319304109045618451538774097133e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.234
y[1] (analytic) = 0.008065320781304854944236274669841
y[1] (numeric) = 0.0080653207813049043112287529210832
absolute error = 4.93669924782512422e-17
relative error = 6.1208963433521810081333395292057e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.235
y[1] (analytic) = 0.00858158524515897419932134412289
y[1] (numeric) = 0.0085815852451590236209766797344785
absolute error = 4.94216553356115885e-17
relative error = 5.7590356471132450329854053614166e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.236
y[1] (analytic) = 0.009098218786646627642181223516678
y[1] (numeric) = 0.0090982187866466771184935555941953
absolute error = 4.94763123320775173e-17
relative error = 5.4380218251833477143480574694188e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.237
y[1] (analytic) = 0.009615221020753893223362931997348
y[1] (numeric) = 0.0096152210207539427543263266296973
absolute error = 4.95309633946323493e-17
relative error = 5.1513078365773034752921368574302e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.238
y[1] (analytic) = 0.010132591561720365498367703010823
y[1] (numeric) = 0.010132591561720415083976153269798
absolute error = 4.9585608450258975e-17
relative error = 4.8936748459877786324916014808892e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.239
y[1] (analytic) = 0.010650330023039410146249639668657
y[1] (numeric) = 0.010650330023039459786497065608495
absolute error = 4.9640247425939838e-17
relative error = 4.6609116636343833971425016391109e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.24
y[1] (analytic) = 0.011168436017458419612365200814196
y[1] (numeric) = 0.011168436017458469307245449471368
absolute error = 4.9694880248657172e-17
relative error = 4.4495827500801803626898424578300e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.241
y[1] (analytic) = 0.011686909156979069875148738903067
y[1] (numeric) = 0.011686909156979119624655584296079
absolute error = 4.9749506845393012e-17
relative error = 4.2568574956094448710240053693541e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.242
y[1] (analytic) = 0.012205749052857578336787808732427
y[1] (numeric) = 0.012205749052857628140914951861703
absolute error = 4.9804127143129276e-17
relative error = 4.0803826891287153590743207325125e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.243
y[1] (analytic) = 0.012724955315604962837670463970721
y[1] (numeric) = 0.012724955315605012696411532818614
absolute error = 4.9858741068847893e-17
relative error = 3.9181859450386239813816513551280e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.244
y[1] (analytic) = 0.013244527554987301794475256354438
y[1] (numeric) = 0.013244527554987351707823805885306
absolute error = 4.9913348549530868e-17
relative error = 3.7686016615017509001995231694255e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.245
y[1] (analytic) = 0.013764465380025995461773150332344
y[1] (numeric) = 0.013764465380026045429722662492752
absolute error = 4.9967949512160408e-17
relative error = 3.6302136067464204643854793315186e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.246
y[1] (analytic) = 0.014284768398998028317009063853586
y[1] (numeric) = 0.014284768398998078339552947572559
absolute error = 5.0022543883718973e-17
relative error = 3.5018099339452845026895595766569e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.247
y[1] (analytic) = 0.014805436219436232568729243914772
y[1] (numeric) = 0.014805436219436282645860835104154
absolute error = 5.0077131591189382e-17
relative error = 3.3823475950981631674850652144771e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.248
y[1] (analytic) = 0.015326468448129552787919183405489
y[1] (numeric) = 0.015326468448129602919631744960397
absolute error = 5.0131712561554908e-17
relative error = 3.2709239399290968797426245750776e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.249
y[1] (analytic) = 0.01584786469112331166231528372289
y[1] (numeric) = 0.015847864691123361848602005522283
absolute error = 5.0186286721799393e-17
relative error = 3.1667538624247391561150640390410e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.25
y[1] (analytic) = 0.016369624553719476873551965566288
y[1] (numeric) = 0.016369624553719527114405964473581
absolute error = 5.0240853998907293e-17
relative error = 3.0691512706375208726110405097316e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.251
y[1] (analytic) = 0.016891747640476929097004428273544
y[1] (numeric) = 0.016891747640476979392418748137332
absolute error = 5.0295414319863788e-17
relative error = 2.9775139547635181790009592625002e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.252
y[1] (analytic) = 0.017414233555211731124185756024996
y[1] (numeric) = 0.017414233555211781474153367679884
absolute error = 5.0349967611654888e-17
relative error = 2.8913111479767739591607922969457e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.253
y[1] (analytic) = 0.017937081900997398107555567219014
y[1] (numeric) = 0.017937081900997448512069368486525
absolute error = 5.0404513801267511e-17
relative error = 2.8100732370779189713821810019664e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.254
y[1] (analytic) = 0.018460292280165168927595901318055
y[1] (numeric) = 0.018460292280165219386648717007632
absolute error = 5.0459052815689577e-17
relative error = 2.7333832016249152815623221234220e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.255
y[1] (analytic) = 0.018983864294304278682008535477377
y[1] (numeric) = 0.018983864294304329195593117387483
absolute error = 5.0513584581910106e-17
relative error = 2.6608694520148712220953543310833e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.256
y[1] (analytic) = 0.019507797544262232296886421302068
y[1] (numeric) = 0.019507797544262282864995448221361
absolute error = 5.0568109026919293e-17
relative error = 2.5921998068814658850066716415730e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.257
y[1] (analytic) = 0.020032091630145079259710430133566
y[1] (numeric) = 0.02003209163014512988233650784217
absolute error = 5.0622626077708604e-17
relative error = 2.5270764038204420706367363131037e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.258
y[1] (analytic) = 0.020556746151317689474021093346516
y[1] (numeric) = 0.020556746151317740151156754617417
absolute error = 5.0677135661270901e-17
relative error = 2.4652313789467352818838686555790e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.5MB, time=20.18
NO POLE
x[1] = 1.259
y[1] (analytic) = 0.021081760706404030235613522242448
y[1] (numeric) = 0.021081760706404080967251226842913
absolute error = 5.0731637704600465e-17
relative error = 2.4064231831067913685076015825690e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.26
y[1] (analytic) = 0.021607134893287444330102190259666
y[1] (numeric) = 0.021607134893287495116234324952845
absolute error = 5.0786132134693179e-17
relative error = 2.3504334279169328569000211377061e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.261
y[1] (analytic) = 0.022132868309110929251700758382285
y[1] (numeric) = 0.022132868309110980092319636928808
absolute error = 5.0840618878546523e-17
relative error = 2.2970641748054920571108615961122e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.262
y[1] (analytic) = 0.022658960550277417543060622825159
y[1] (numeric) = 0.022658960550277468438158485984881
absolute error = 5.0895097863159722e-17
relative error = 2.2461355961245364620903637915176e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.263
y[1] (analytic) = 0.023185411212450058256010362299878
y[1] (numeric) = 0.023185411212450109205579377833737
absolute error = 5.0949569015533859e-17
relative error = 2.1974839500873314597398624550161e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.264
y[1] (analytic) = 0.023712219890552499533036760430114
y[1] (numeric) = 0.023712219890552550537069023101992
absolute error = 5.1004032262671878e-17
relative error = 2.1509598214797709394492121074376e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.265
y[1] (analytic) = 0.02423938617876917230934657718462
y[1] (numeric) = 0.024239386178769223367834108763402
absolute error = 5.1058487531578782e-17
relative error = 2.1064265883226020772625058478803e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.266
y[1] (analytic) = 0.024766909670545575135346741536351
y[1] (numeric) = 0.024766909670545626248281490798006
absolute error = 5.1112934749261655e-17
relative error = 2.0637590813378098519901476838097e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.267
y[1] (analytic) = 0.025294789958588560119379135935943
y[1] (numeric) = 0.025294789958588611286752978665708
absolute error = 5.1167373842729765e-17
relative error = 2.0228424085156896652716940037389e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.268
y[1] (analytic) = 0.025823026634866619990544641611436
y[1] (numeric) = 0.025823026634866671212349380606097
absolute error = 5.1221804738994661e-17
relative error = 1.9835709215369141684762068776009e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.269
y[1] (analytic) = 0.026351619290610176281449612173964
y[1] (numeric) = 0.026351619290610227557676977244255
absolute error = 5.1276227365070291e-17
relative error = 1.9458473044706385148860942913435e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.27
y[1] (analytic) = 0.026880567516311868630706441523852
y[1] (numeric) = 0.026880567516311919961348089496906
absolute error = 5.1330641647973054e-17
relative error = 1.9095817681983167601486440852516e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.271
y[1] (analytic) = 0.027409870901726845205018390614427
y[1] (numeric) = 0.027409870901726896590065905336326
absolute error = 5.1385047514721899e-17
relative error = 1.8746913365244853179747437058532e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.272
y[1] (analytic) = 0.027939529035873054240677336244417
y[1] (numeric) = 0.027939529035873105680122228582878
absolute error = 5.1439444892338461e-17
relative error = 1.8410992120265380674278258721492e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.273
y[1] (analytic) = 0.028469541507031536704301603715671
y[1] (numeric) = 0.028469541507031588198135311562716
absolute error = 5.1493833707847045e-17
relative error = 1.8087342114423888422620654117441e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.274
y[1] (analytic) = 0.028999907902746720072639543912188
y[1] (numeric) = 0.028999907902746771620853432187043
absolute error = 5.1548213888274855e-17
relative error = 1.7775302618596411801027098733025e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.275
y[1] (analytic) = 0.029530627809826713231263014133147
y[1] (numeric) = 0.029530627809826764833848374785142
absolute error = 5.1602585360651995e-17
relative error = 1.7474259502021335724700153234619e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.276
y[1] (analytic) = 0.030061700814343602491973420845565
y[1] (numeric) = 0.03006170081434365414892147285715
absolute error = 5.1656948052011585e-17
relative error = 1.7183641195498843210064337411079e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.277
y[1] (analytic) = 0.03059312650163374872874148141622
y[1] (numeric) = 0.030593126501633800440043370806079
absolute error = 5.1711301889389859e-17
relative error = 1.6902915067091409372530596958624e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.278
y[1] (analytic) = 0.03112490445629808563200036083753
y[1] (numeric) = 0.031124904456298137397647160663772
absolute error = 5.1765646799826242e-17
relative error = 1.6631584161972111010033275317035e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.279
y[1] (analytic) = 0.031657034262202419081110338480825
y[1] (numeric) = 0.031657034262202470901093048844257
absolute error = 5.1819982710363432e-17
relative error = 1.6369184264438500697184055970675e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.28
y[1] (analytic) = 0.032189515502477727634811658994583
y[1] (numeric) = 0.032189515502477779509121207042134
absolute error = 5.1874309548047551e-17
relative error = 1.6115281245551714884156441046224e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.281
y[1] (analytic) = 0.032722347759520464139480720616964
y[1] (numeric) = 0.032722347759520516068107960545133
absolute error = 5.1928627239928169e-17
relative error = 1.5869468664521389137391925441893e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.282
y[1] (analytic) = 0.033255530614992858455003253392296
y[1] (numeric) = 0.03325553061499291043793896645071
absolute error = 5.1982935713058414e-17
relative error = 1.5631365595959707470773854711645e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.283
y[1] (analytic) = 0.033789063649823221298076639073224
y[1] (numeric) = 0.033789063649823273335311533568319
absolute error = 5.2037234894495095e-17
relative error = 1.5400614658573809004268295617374e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.284
y[1] (analytic) = 0.034322946444206249202752023855046
y[1] (numeric) = 0.034322946444206301294276735153786
absolute error = 5.2091524711298740e-17
relative error = 1.5176880223839828934517626517465e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.285
y[1] (analytic) = 0.034857178577603330598025374528085
y[1] (numeric) = 0.034857178577603382743830465061824
absolute error = 5.2145805090533739e-17
relative error = 1.4959846785774799706973154344954e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=164.0MB, alloc=4.5MB, time=20.68
x[1] = 1.286
y[1] (analytic) = 0.035391759628742853002285128150685
y[1] (numeric) = 0.035391759628742905202361087419081
absolute error = 5.2200075959268396e-17
relative error = 1.4749217475153435722730490984787e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.287
y[1] (analytic) = 0.035926689175620511334422584940056
y[1] (numeric) = 0.035926689175620563588759829515115
absolute error = 5.2254337244575059e-17
relative error = 1.4544712703455659601886641303753e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.288
y[1] (analytic) = 0.036461966795499617341409693753973
y[1] (numeric) = 0.03646196679549966964999856728415
absolute error = 5.2308588873530177e-17
relative error = 1.4346068923519083721022602291482e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.289
y[1] (analytic) = 0.036997592064911410142147379293955
y[1] (numeric) = 0.036997592064911462504978152508372
absolute error = 5.2362830773214417e-17
relative error = 1.4153037495344306418172173094728e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.29
y[1] (analytic) = 0.037533564559655367887386060002936
y[1] (numeric) = 0.037533564559655420304448930715656
absolute error = 5.2417062870712720e-17
relative error = 1.3965383646789451635010315106917e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.291
y[1] (analytic) = 0.038069883854799520535518505558509
y[1] (numeric) = 0.038069883854799573006803598672946
absolute error = 5.2471285093114437e-17
relative error = 1.3782885520019602789199611914662e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.292
y[1] (analytic) = 0.038606549524680763744043682879428
y[1] (numeric) = 0.038606549524680816269541050392836
absolute error = 5.2525497367513408e-17
relative error = 1.3605333295567998462880371826981e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.293
y[1] (analytic) = 0.0391435611429051738764987396692
y[1] (numeric) = 0.039143561142905226456198360677211
absolute error = 5.2579699621008011e-17
relative error = 1.3432528386737790802738435017459e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.294
y[1] (analytic) = 0.039680918282348324124654774718557
y[1] (numeric) = 0.039680918282348376758546555419866
absolute error = 5.2633891780701309e-17
relative error = 1.3264282697841443576199870603213e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.295
y[1] (analytic) = 0.040218620515155601745770544480696
y[1] (numeric) = 0.040218620515155654433844318181832
absolute error = 5.2688073773701136e-17
relative error = 1.3100417940452896513229446066530e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.296
y[1] (analytic) = 0.040756667412742526414696755820332
y[1] (numeric) = 0.040756667412742579156942282940485
absolute error = 5.2742245527120153e-17
relative error = 1.2940765002447268054353540172920e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.297
y[1] (analytic) = 0.041295058545795069690622095322395
y[1] (numeric) = 0.04129505854579512248702906339834
absolute error = 5.2796406968075945e-17
relative error = 1.2785163365133917964729453532484e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.298
y[1] (analytic) = 0.041833793484269975598250646130447
y[1] (numeric) = 0.041833793484270028448808669821618
absolute error = 5.2850558023691171e-17
relative error = 1.2633460564259761739139057834159e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.299
y[1] (analytic) = 0.042372871797395082323198843970484
y[1] (numeric) = 0.042372871797395135227897465064071
absolute error = 5.2904698621093587e-17
relative error = 1.2485511691078243134514125851933e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.3
y[1] (analytic) = 0.042912293053669645021398624803899
y[1] (numeric) = 0.042912293053669697980227312220059
absolute error = 5.2958828687416160e-17
relative error = 1.2341178930051929587602061952421e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.301
y[1] (analytic) = 0.043452056820864659742291917447271
y[1] (numeric) = 0.043452056820864712755240067244418
absolute error = 5.3012948149797147e-17
relative error = 1.2200331130088546515648728717953e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.302
y[1] (analytic) = 0.04399216266602318846560013549679
y[1] (numeric) = 0.043992162666023241532657070877045
absolute error = 5.3067056935380255e-17
relative error = 1.2062843406506575476723538467692e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.303
y[1] (analytic) = 0.044532610155460685251450824004663
y[1] (numeric) = 0.044532610155460738372605795319292
absolute error = 5.3121154971314629e-17
relative error = 1.1928596771191234061115371399257e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.304
y[1] (analytic) = 0.045073398854765323503642117574095
y[1] (numeric) = 0.045073398854765376678884302329106
absolute error = 5.3175242184755011e-17
relative error = 1.1797477788638770732731282181357e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.305
y[1] (analytic) = 0.045614528328798324345824167872389
y[1] (numeric) = 0.045614528328798377575142670734198
absolute error = 5.3229318502861809e-17
relative error = 1.1669378255799250478610896451162e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.306
y[1] (analytic) = 0.046155998141694286110375200008099
y[1] (numeric) = 0.046155998141694339393759052809307
absolute error = 5.3283383852801208e-17
relative error = 1.1544194903818689488295308836326e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.307
y[1] (analytic) = 0.046697807856861514939748358781488
y[1] (numeric) = 0.046697807856861568277186520526717
absolute error = 5.3337438161745229e-17
relative error = 1.1421829119952602632806292810606e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.308
y[1] (analytic) = 0.047239957036982356500064007498599
y[1] (numeric) = 0.047239957036982409891545364370461
absolute error = 5.3391481356871862e-17
relative error = 1.1302186688077153048027816828330e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.309
y[1] (analytic) = 0.047782445244013528806720643840852
y[1] (numeric) = 0.047782445244013582252234009205981
absolute error = 5.3445513365365129e-17
relative error = 1.1185177546362825229690732987391e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.31
y[1] (analytic) = 0.0483252720391864561617960992052
y[1] (numeric) = 0.048325272039186509661330213620347
absolute error = 5.3499534114415147e-17
relative error = 1.1070715560800761969781919140710e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.311
y[1] (analytic) = 0.048868436983007604203009189976943
y[1] (numeric) = 0.048868436983007657756552721195257
absolute error = 5.3553543531218314e-17
relative error = 1.0958718313384936354906714347987e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.312
y[1] (analytic) = 0.04941193963525881606401049137064
y[1] (numeric) = 0.049411939635258869671552034347931
absolute error = 5.3607541542977291e-17
relative error = 1.0849106903855404316453425454122e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.313
memory used=167.8MB, alloc=4.5MB, time=21.16
y[1] (analytic) = 0.049955779554997649645769406774326
y[1] (numeric) = 0.049955779554997703307297483675494
absolute error = 5.3661528076901168e-17
relative error = 1.0741805764000491875591583474245e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.314
y[1] (analytic) = 0.050499956300557715998823207962894
y[1] (numeric) = 0.050499956300557769714326268168414
absolute error = 5.3715503060205520e-17
relative error = 1.0636742483599395085843551781960e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.315
y[1] (analytic) = 0.051044469429549018816152224107399
y[1] (numeric) = 0.051044469429549072585618644219923
absolute error = 5.3769466420112524e-17
relative error = 1.0533847647162738019713991182869e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.316
y[1] (analytic) = 0.051589318498858295036443860201938
y[1] (numeric) = 0.05158931849885834885986194405296
absolute error = 5.3823418083851022e-17
relative error = 1.0433054680697549635473572104738e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.317
y[1] (analytic) = 0.052134503064649356557506628359322
y[1] (numeric) = 0.052134503064649410434864607015947
absolute error = 5.3877357978656625e-17
relative error = 1.0334299707785848143967463256268e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.318
y[1] (analytic) = 0.052680022682363433059593878393666
y[1] (numeric) = 0.052680022682363486990879910165491
absolute error = 5.3931286031771825e-17
relative error = 1.0237521414323023473707598780494e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.319
y[1] (analytic) = 0.053225876906719515938395417213784
y[1] (numeric) = 0.053225876906719569923597587659824
absolute error = 5.3985202170446040e-17
relative error = 1.0142660921314132981085546695936e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.32
y[1] (analytic) = 0.053772065291714703347453709797525
y[1] (numeric) = 0.053772065291714757386560031733281
absolute error = 5.4039106321935756e-17
relative error = 1.0049661665173608054695374914681e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.321
y[1] (analytic) = 0.054318587390624546349759857906737
y[1] (numeric) = 0.054318587390624600442758271411328
absolute error = 5.4092998413504591e-17
relative error = 9.9584692850169935974626783205919e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.322
y[1] (analytic) = 0.054865442756003396178283056235983
y[1] (numeric) = 0.054865442756003450325161428659366
absolute error = 5.4146878372423383e-17
relative error = 9.8690315164728370648326160643316e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.323
y[1] (analytic) = 0.055412630939684752605185729368475
y[1] (numeric) = 0.055412630939684806805931855338781
absolute error = 5.4200746125970306e-17
relative error = 9.7812980915788761994716441060125e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.324
y[1] (analytic) = 0.055960151492781613419475056741263
y[1] (numeric) = 0.055960151492781667674076658172199
absolute error = 5.4254601601430936e-17
relative error = 9.6952206443596424251009048160667e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.325
y[1] (analytic) = 0.05650800396568682501284009680035
y[1] (numeric) = 0.056508003965686879321284822898694
absolute error = 5.4308444726098344e-17
relative error = 9.6107526217128263186775808827079e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.326
y[1] (analytic) = 0.05705618790807343407342222565731
y[1] (numeric) = 0.057056187908073488435697652930516
absolute error = 5.4362275427273206e-17
relative error = 9.5278491992594128011883946409607e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.327
y[1] (analytic) = 0.057604702868895040387265109843867
y[1] (numeric) = 0.057604702868895094803358742107756
absolute error = 5.4416093632263889e-17
relative error = 9.4464672018379747740387178226591e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.328
y[1] (analytic) = 0.058153548396386150747188937201539
y[1] (numeric) = 0.05815354839638620521708820558806
absolute error = 5.4469899268386521e-17
relative error = 9.3665650283468267953378647356068e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.329
y[1] (analytic) = 0.058702724038062533968832134541833
y[1] (numeric) = 0.058702724038062588492524397506953
absolute error = 5.4523692262965120e-17
relative error = 9.2881025806591612344541841822833e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.33
y[1] (analytic) = 0.059252229340721577013602305470776
y[1] (numeric) = 0.059252229340721631591074848802421
absolute error = 5.4577472543331645e-17
relative error = 9.2110411963559373882853751154815e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.331
y[1] (analytic) = 0.059802063850442642218276626690865
y[1] (numeric) = 0.059802063850442696849516663517001
absolute error = 5.4631240036826136e-17
relative error = 9.1353435850394596582271463210298e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.332
y[1] (analytic) = 0.060352227112587425630990446176898
y[1] (numeric) = 0.060352227112587480315985116973626
absolute error = 5.4684994670796728e-17
relative error = 9.0609737680071949913320456887365e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.333
y[1] (analytic) = 0.060902718671800316453351331869913
y[1] (numeric) = 0.060902718671800371192087704469763
absolute error = 5.4738736372599850e-17
relative error = 8.9878970210808397252115763674273e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.334
y[1] (analytic) = 0.061453538072008757588414324949611
y[1] (numeric) = 0.061453538072008812380879394549834
absolute error = 5.4792465069600223e-17
relative error = 8.9160798203997042379217444883691e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.335
y[1] (analytic) = 0.062004684856423607294252657329425
y[1] (numeric) = 0.062004684856423662140433346500406
absolute error = 5.4846180689170981e-17
relative error = 8.8454897910006852854327600797965e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.336
y[1] (analytic) = 0.062556158567539501942856698774282
y[1] (numeric) = 0.062556158567539556842739857468085
absolute error = 5.4899883158693803e-17
relative error = 8.7760956580191045499464684997015e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.337
y[1] (analytic) = 0.063107958747135219884092404969344
y[1] (numeric) = 0.063107958747135274837664810528274
absolute error = 5.4953572405558930e-17
relative error = 8.7078672003558572524347952829200e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.338
y[1] (analytic) = 0.063660084936274046414449043970619
y[1] (numeric) = 0.063660084936274101421697401135937
absolute error = 5.5007248357165318e-17
relative error = 8.6407752066667020592765737776367e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.339
y[1] (analytic) = 0.064212536675304139850304484748319
y[1] (numeric) = 0.064212536675304194911215425669014
absolute error = 5.5060910940920695e-17
relative error = 8.5747914335390023620650129010173e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.34
y[1] (analytic) = 0.064765313503858898705434837991428
y[1] (numeric) = 0.064765313503858953819994922233139
absolute error = 5.5114560084241711e-17
relative error = 8.5098885657301467710846363214841e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.5MB, time=21.65
NO POLE
x[1] = 1.341
y[1] (analytic) = 0.065318414960857329972493745980727
y[1] (numeric) = 0.065318414960857385140689460534647
absolute error = 5.5168195714553920e-17
relative error = 8.4460401783500068662139825325619e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.342
y[1] (analytic) = 0.065871840584504418508185125157485
y[1] (numeric) = 0.065871840584504473730002884449441
absolute error = 5.5221817759291956e-17
relative error = 8.3832207008774920968933209017316e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.343
y[1] (analytic) = 0.066425589912291497521851672020327
y[1] (numeric) = 0.06642558991229155279727781791994
absolute error = 5.5275426145899613e-17
relative error = 8.3214053829082155634369534518362e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.344
y[1] (analytic) = 0.0669796624809966201671999501731
y[1] (numeric) = 0.066979662480996675496220752003039
absolute error = 5.5329020801829939e-17
relative error = 8.2605702615368977757318218246177e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.345
y[1] (analytic) = 0.067534057826684932236881383725247
y[1] (numeric) = 0.067534057826684987619483038270532
absolute error = 5.5382601654545285e-17
relative error = 8.2006921302841947134981695719915e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.346
y[1] (analytic) = 0.068088775484709045959646989814316
y[1] (numeric) = 0.06808877548470910139581562133178
absolute error = 5.5436168631517464e-17
relative error = 8.1417485094833250785457604253075e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.347
y[1] (analytic) = 0.068643814989709414899792190780582
y[1] (numeric) = 0.068643814989709470389513851008336
absolute error = 5.5489721660227754e-17
relative error = 8.0837176180470698499866672495568e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.348
y[1] (analytic) = 0.069199175875614709958606554476611
y[1] (numeric) = 0.069199175875614765501867222643717
absolute error = 5.5543260668167106e-17
relative error = 8.0265783465407064337649627518031e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.349
y[1] (analytic) = 0.069754857675642196477541819344277
y[1] (numeric) = 0.069754857675642252074327402180389
absolute error = 5.5596785582836112e-17
relative error = 7.9703102314908796757776630980887e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.35
y[1] (analytic) = 0.070310859922298112442810069236981
y[1] (numeric) = 0.07031085992229816809310640098218
absolute error = 5.5650296331745199e-17
relative error = 7.9148934308647931399530227845205e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.351
y[1] (analytic) = 0.070867182147378047791122431511042
y[1] (numeric) = 0.070867182147378103494915273925676
absolute error = 5.5703792842414634e-17
relative error = 7.8603087006579348486223060945883e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.352
y[1] (analytic) = 0.071423823881967324816277180655793
y[1] (numeric) = 0.071423823881967380573552223030503
absolute error = 5.5757275042374710e-17
relative error = 7.8065373725323582506826409040204e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.353
y[1] (analytic) = 0.071980784656441379676304638682015
y[1] (numeric) = 0.071980784656441435487047497847739
absolute error = 5.5810742859165724e-17
relative error = 7.7535613324508766328677331149852e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.354
y[1] (analytic) = 0.072538064000466145000874772641576
y[1] (numeric) = 0.072538064000466200865070992979777
absolute error = 5.5864196220338201e-17
relative error = 7.7013630002558664667078623365301e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.355
y[1] (analytic) = 0.073095661442998433598671899012935
y[1] (numeric) = 0.073095661442998489516306952465791
absolute error = 5.5917635053452856e-17
relative error = 7.6499253101442455039740994344522e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.356
y[1] (analytic) = 0.07365357651228632326443941425558
y[1] (numeric) = 0.073653576512286379235498700336325
absolute error = 5.5971059286080745e-17
relative error = 7.5992316919931353621476812838115e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.357
y[1] (analytic) = 0.07421180873586954268539598061695
y[1] (numeric) = 0.074211808735869598709864826420367
absolute error = 5.6024468845803417e-17
relative error = 7.5492660534932555693230639851953e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.358
y[1] (analytic) = 0.074770357640579858446723106267558
y[1] (numeric) = 0.07477035764057991452458676648043
absolute error = 5.6077863660212872e-17
relative error = 7.5000127630495545968451062876948e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.359
y[1] (analytic) = 0.0753292227525414631358225690458
y[1] (numeric) = 0.075329222752541519267066225957551
absolute error = 5.6131243656911751e-17
relative error = 7.4514566334109680915034461538768e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.36
y[1] (analytic) = 0.075888403597171364545040643517182
y[1] (numeric) = 0.075888403597171420729649407030601
absolute error = 5.6184608763513419e-17
relative error = 7.4035829059932448902064335536752e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.361
y[1] (analytic) = 0.076447899699179775972554601692747
y[1] (numeric) = 0.076447899699179832210513509334745
absolute error = 5.6237958907641998e-17
relative error = 7.3563772358608546228485259086690e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.362
y[1] (analytic) = 0.077007710582570507621115468611671
y[1] (numeric) = 0.077007710582570563912409485544222
absolute error = 5.6291294016932551e-17
relative error = 7.3098256773359012303126506411724e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.363
y[1] (analytic) = 0.077567835770641359094339525075567
y[1] (numeric) = 0.077567835770641415438953544106641
absolute error = 5.6344614019031074e-17
relative error = 7.2639146702036696809822387086644e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.364
y[1] (analytic) = 0.078128274785984512990239561127049
y[1] (numeric) = 0.078128274785984569388158402721683
absolute error = 5.6397918841594634e-17
relative error = 7.2186310264861879348700379796577e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.365
y[1] (analytic) = 0.078689027150486929591685395396726
y[1] (numeric) = 0.078689027150486986042893807688232
absolute error = 5.6451208412291506e-17
relative error = 7.1739619177566849058778859398638e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.366
y[1] (analytic) = 0.079250092385330742653481687201344
y[1] (numeric) = 0.079250092385330799157964346002521
absolute error = 5.6504482658801177e-17
relative error = 7.1298948629692958263164816440414e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.367
y[1] (analytic) = 0.079811470010993656285749580263174
y[1] (numeric) = 0.079811470010993712843491089077665
absolute error = 5.6557741508814491e-17
relative error = 7.0864177167797970557925645935284e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.5MB, time=22.14
NO POLE
x[1] = 1.368
y[1] (analytic) = 0.080373159547249342933297229140152
y[1] (numeric) = 0.080373159547249399544282119173878
absolute error = 5.6610984890033726e-17
relative error = 7.0435186583343862630568975688492e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.369
y[1] (analytic) = 0.080935160513167842450662771907938
y[1] (numeric) = 0.080935160513167899114875502080628
absolute error = 5.6664212730172690e-17
relative error = 7.0011861805047805324035355308253e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.37
y[1] (analytic) = 0.081497472427115962272511825321987
y[1] (numeric) = 0.081497472427116018989936782278803
absolute error = 5.6717424956956816e-17
relative error = 6.9594090795490374737066330329047e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.371
y[1] (analytic) = 0.082060094806757678679070091611346
y[1] (numeric) = 0.082060094806757735449691589734597
absolute error = 5.6770621498123251e-17
relative error = 6.9181764451785851036863749390016e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.372
y[1] (analytic) = 0.082623027169054539156270179218141
y[1] (numeric) = 0.082623027169054595980072460639063
absolute error = 5.6823802281420922e-17
relative error = 6.8774776510129604081251638249297e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.373
y[1] (analytic) = 0.083186269030266065850290253199443
y[1] (numeric) = 0.083186269030266122727257487810086
absolute error = 5.6876967234610643e-17
relative error = 6.8373023454047228272208802287914e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.374
y[1] (analytic) = 0.083749819905950160116160644653457
y[1] (numeric) = 0.083749819905950217046276930118726
absolute error = 5.6930116285465269e-17
relative error = 6.7976404426179027634462335572873e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.375
y[1] (analytic) = 0.084313679310963508160113062421694
y[1] (numeric) = 0.084313679310963565143362424191364
absolute error = 5.6983249361769670e-17
relative error = 6.7584821143441669991195549890079e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.376
y[1] (analytic) = 0.084877846759461987775345564453836
y[1] (numeric) = 0.084877846759462044811711955774742
absolute error = 5.7036366391320906e-17
relative error = 6.7198177815417569637922293875230e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.377
y[1] (analytic) = 0.085442321764901076170874960606395
y[1] (numeric) = 0.085442321764901133260342262534681
absolute error = 5.7089467301928286e-17
relative error = 6.6816381065829272321662660432384e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.378
y[1] (analytic) = 0.086007103840036258893146833279367
y[1] (numeric) = 0.086007103840036316035698854692871
absolute error = 5.7142552021413504e-17
relative error = 6.6439339856963859173651488995135e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.379
y[1] (analytic) = 0.086572192496923439840071877180918
y[1] (numeric) = 0.086572192496923497035692354791553
absolute error = 5.7195620477610635e-17
relative error = 6.6066965416918631160797284224551e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.38
y[1] (analytic) = 0.08713758724691935236715577464865
y[1] (numeric) = 0.087137587246919409615828373014987
absolute error = 5.7248672598366337e-17
relative error = 6.5699171169546350919227345743815e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.381
y[1] (analytic) = 0.087703287600681971485388338351382
y[1] (numeric) = 0.087703287600682028787096649891255
absolute error = 5.7301708311539873e-17
relative error = 6.5335872666983467765330999392776e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.382
y[1] (analytic) = 0.088269293068170927150556168846813
y[1] (numeric) = 0.088269293068170984505283713850022
absolute error = 5.7354727545003209e-17
relative error = 6.4976987524651176451525533854002e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.383
y[1] (analytic) = 0.088835603158647918643641590382112
y[1] (numeric) = 0.088835603158647976051371817023243
absolute error = 5.7407730226641131e-17
relative error = 6.4622435358624156946072703389093e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.384
y[1] (analytic) = 0.089402217380677130041969144497068
y[1] (numeric) = 0.089402217380677187502685428848387
absolute error = 5.7460716284351319e-17
relative error = 6.4272137725266913337095614883337e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.385
y[1] (analytic) = 0.089969135242125646780759437424924
y[1] (numeric) = 0.089969135242125704294445083469365
absolute error = 5.7513685646044441e-17
relative error = 6.3926018063042571548201577559613e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.386
y[1] (analytic) = 0.090536356250163873304748653986676
y[1] (numeric) = 0.090536356250163930871386893630901
absolute error = 5.7566638239644225e-17
relative error = 6.3584001636403417544459646275815e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.387
y[1] (analytic) = 0.091103879911265951809530567641875
y[1] (numeric) = 0.091103879911266009429104560729487
absolute error = 5.7619573993087612e-17
relative error = 6.3246015481676918541848003379138e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.388
y[1] (analytic) = 0.091671705731210182072276393595331
y[1] (numeric) = 0.09167170573121023974476922792009
absolute error = 5.7672492834324759e-17
relative error = 6.2911988354864671061921141918779e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.389
y[1] (analytic) = 0.092239833215079442371486349365229
y[1] (numeric) = 0.092239833215079500096881040684442
absolute error = 5.7725394691319213e-17
relative error = 6.2581850681276187402632163475917e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.39
y[1] (analytic) = 0.092808261867261611495425304997835
y[1] (numeric) = 0.092808261867261669273704797045787
absolute error = 5.7778279492047952e-17
relative error = 6.2255534506922395830877869469377e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.391
y[1] (analytic) = 0.093376991191449991838893423166904
y[1] (numeric) = 0.093376991191450049670040587668362
absolute error = 5.7831147164501458e-17
relative error = 6.1932973451597712525703627520164e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.392
y[1] (analytic) = 0.09394602069064373358798120772556
y[1] (numeric) = 0.093946020690643791471978844409452
absolute error = 5.7883997636683892e-17
relative error = 6.1614102663582717977302859714646e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.393
y[1] (analytic) = 0.094515349867148259992456897886436
y[1] (numeric) = 0.094515349867148317929287734499514
absolute error = 5.7936830836613078e-17
relative error = 6.1298858775902198413858285244649e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.394
y[1] (analytic) = 0.095084978222575693725432664092727
y[1] (numeric) = 0.095084978222575751715079356413431
absolute error = 5.7989646692320704e-17
relative error = 6.0987179864077021013722260925332e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=179.3MB, alloc=4.5MB, time=22.61
NO POLE
x[1] = 1.395
y[1] (analytic) = 0.09565490525784528432995458081305
y[1] (numeric) = 0.095654905257845342372399712665373
absolute error = 5.8042445131852323e-17
relative error = 6.0679005405310233682307581565390e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.396
y[1] (analytic) = 0.096225130473183836752159870945336
y[1] (numeric) = 0.096225130473183894847385954212821
absolute error = 5.8095226083267485e-17
relative error = 6.0374276239051241895656285783834e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.397
y[1] (analytic) = 0.096795653368126140960643436254156
y[1] (numeric) = 0.096795653368126199108632910893962
absolute error = 5.8147989474639806e-17
relative error = 6.0072934528883885268076930648549e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.398
y[1] (analytic) = 0.097366473441515402651674208291635
y[1] (numeric) = 0.097366473441515460852409442348759
absolute error = 5.8200735234057124e-17
relative error = 5.9774923725687001959906563616278e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.399
y[1] (analytic) = 0.09793759019150367503990037456792
y[1] (numeric) = 0.097937590191503733293363664189396
absolute error = 5.8253463289621476e-17
relative error = 5.9480188532017919820698379311589e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.4
y[1] (analytic) = 0.098509003115552291734181055343105
y[1] (numeric) = 0.098509003115552350040354624792389
absolute error = 5.8306173569449284e-17
relative error = 5.9188674867672159612976250922928e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.401
y[1] (analytic) = 0.099080711710432300698180527312854
y[1] (numeric) = 0.099080711710432359057046528984302
absolute error = 5.8358866001671448e-17
relative error = 5.8900329836373983655235818681073e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.402
y[1] (analytic) = 0.099652715472224899295359611654229
y[1] (numeric) = 0.099652715472224957706900126087578
absolute error = 5.8411540514433349e-17
relative error = 5.8615101693554705514785689120704e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.403
y[1] (analytic) = 0.10022501389632187041799736538937
y[1] (numeric) = 0.10022501389632192888219440128438
absolute error = 5.846419703589501e-17
relative error = 5.8332939815177786785414301795852e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.404
y[1] (analytic) = 0.1007976064774260196998747368152
y[1] (numeric) = 0.10079760647742607821671023104642
absolute error = 5.851683549423122e-17
relative error = 5.8053794667571071910058364623542e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.405
y[1] (analytic) = 0.10137049270955161381225036783776
y[1] (numeric) = 0.10137049270955167238170618546929
absolute error = 5.856945581763153e-17
relative error = 5.7777617778228313849268210445561e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.406
y[1] (analytic) = 0.10194367208602481984275724844254
y[1] (numeric) = 0.10194367208602487846481518274293
absolute error = 5.862205793430039e-17
relative error = 5.7504361707544109691632153324502e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.407
y[1] (analytic) = 0.10251714409948414575684745122993
y[1] (numeric) = 0.10251714409948420443148922368718
absolute error = 5.867464177245725e-17
relative error = 5.7233980021447450675194646508796e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.408
y[1] (analytic) = 0.10309090824188088194141069694804
y[1] (numeric) = 0.10309090824188094066861795728472
absolute error = 5.872720726033668e-17
relative error = 5.6966427264900783802530617366987e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.409
y[1] (analytic) = 0.10366496400447954383019102526712
y[1] (numeric) = 0.10366496400447960260994535145547
absolute error = 5.877975432618835e-17
relative error = 5.6701658936232664235050553395620e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.41
y[1] (analytic) = 0.10423931087785831561062436866039
y[1] (numeric) = 0.10423931087785837444290726693767
absolute error = 5.883228289827728e-17
relative error = 5.6439631462273955869851639488323e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.411
y[1] (analytic) = 0.10481394835190949501171835119061
y[1] (numeric) = 0.10481394835190955389651125607437
absolute error = 5.888479290488376e-17
relative error = 5.6180302174267820082949923124598e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.412
y[1] (analytic) = 0.10538887591583993917259415824705
y[1] (numeric) = 0.10538887591583999810987843255065
absolute error = 5.893728427430360e-17
relative error = 5.5923629284526158550879849380449e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.413
y[1] (analytic) = 0.10596409305817151159130884784136
y[1] (numeric) = 0.10596409305817157058106578268945
absolute error = 5.898975693484809e-17
relative error = 5.5669571863805089664113496693070e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.414
y[1] (analytic) = 0.10653959926674153015357499894942
y[1] (numeric) = 0.10653959926674158919578581379363
absolute error = 5.904221081484421e-17
relative error = 5.5418089819374249037598274453058e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.415
y[1] (analytic) = 0.10711539402870321624099311758625
y[1] (numeric) = 0.10711539402870327533563896022084
absolute error = 5.909464584263459e-17
relative error = 5.5169143873754757729418018862577e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.416
y[1] (analytic) = 0.10769147683052614491841074682028
y[1] (numeric) = 0.10769147683052620406547269339799
absolute error = 5.914706194657771e-17
relative error = 5.4922695544102640038370897587750e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.417
y[1] (analytic) = 0.1082678471579966962000207527774
y[1] (numeric) = 0.10826784715799675539947980782536
absolute error = 5.919945905504796e-17
relative error = 5.4678707122214602846970332639441e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.418
y[1] (analytic) = 0.10884450449621850739380978485253
y[1] (numeric) = 0.10884450449621856664564688128823
absolute error = 5.925183709643570e-17
relative error = 5.4437141655134491872035858750016e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.419
y[1] (analytic) = 0.10942144832961292652396643484147
y[1] (numeric) = 0.10942144832961298582816243398884
absolute error = 5.930419599914737e-17
relative error = 5.4197962926339521920892458853489e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.42
y[1] (analytic) = 0.10999867814191946683085714652921
y[1] (numeric) = 0.1099986781419195261873928381348
absolute error = 5.935653569160559e-17
relative error = 5.3961135437486107143254033277970e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.421
y[1] (analytic) = 0.11057619341619626234817645442468
y[1] (numeric) = 0.11057619341619632175703255667394
absolute error = 5.940885610224926e-17
relative error = 5.3726624390695976845648513779485e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=183.1MB, alloc=4.5MB, time=23.11
x[1] = 1.422
y[1] (analytic) = 0.1111539936348205245568766578181
y[1] (numeric) = 0.11115399363482058401803381735171
absolute error = 5.946115715953361e-17
relative error = 5.3494395671363966916164806190034e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.423
y[1] (analytic) = 0.11173207827948900011548056415747
y[1] (numeric) = 0.11173207827948905962891935608781
absolute error = 5.951343879193034e-17
relative error = 5.3264415831469774307136214354991e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.424
y[1] (analytic) = 0.1123104468312184296663794638973
y[1] (numeric) = 0.11231044683121848923208039182495
absolute error = 5.956570092792765e-17
relative error = 5.3036652073376347813684077694677e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.425
y[1] (analytic) = 0.11288909877034600771771702746696
y[1] (numeric) = 0.11288909877034606733566052349738
absolute error = 5.961794349603042e-17
relative error = 5.2811072234098666827598507201607e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.426
y[1] (analytic) = 0.11346803357652984360045834384057
y[1] (numeric) = 0.11346803357652990327062476860076
absolute error = 5.967016642476019e-17
relative error = 5.2587644770026747404883788967904e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.427
y[1] (analytic) = 0.11404725072874942350024184936577
y[1] (numeric) = 0.11404725072874948322261149202112
absolute error = 5.972236964265535e-17
relative error = 5.2366338742088001515906687300250e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.428
y[1] (analytic) = 0.1146267497053060735636104250287
y[1] (numeric) = 0.11462674970530613333816350329988
absolute error = 5.977455307827118e-17
relative error = 5.2147123801333970171706106111417e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.429
y[1] (analytic) = 0.11520652998382342407821647019709
y[1] (numeric) = 0.11520652998382348390493313037702
absolute error = 5.982671666017993e-17
relative error = 5.1929970174937497945219170877180e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.43
y[1] (analytic) = 0.11578659104124787472659429109546
y[1] (numeric) = 0.11578659104124793460545460806643
absolute error = 5.987886031697097e-17
relative error = 5.1714848652586804298205099815139e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.431
y[1] (analytic) = 0.11636693235384906091309167282811
y[1] (numeric) = 0.11636693235384912084407565007891
absolute error = 5.993098397725080e-17
relative error = 5.1501730573263210215525408970741e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.432
y[1] (analytic) = 0.11694755339722032116355103467729
y[1] (numeric) = 0.11694755339722038114663860432049
absolute error = 5.998308756964320e-17
relative error = 5.1290587812390193717820250315391e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.433
y[1] (analytic) = 0.11752845364627916559732909966971
y[1] (numeric) = 0.11752845364627922563250012245903
absolute error = 6.003517102278932e-17
relative error = 5.1081392769341498126249791089589e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.434
y[1] (analytic) = 0.11810963257526774547124254102412
y[1] (numeric) = 0.11810963257526780555847680637184
absolute error = 6.008723426534772e-17
relative error = 5.0874118355296650411300395091622e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.435
y[1] (analytic) = 0.11869108965775332379502560006918
y[1] (numeric) = 0.1186910896577533839343028260637
absolute error = 6.013927722599452e-17
relative error = 5.0668737981432803099593412961280e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.436
y[1] (analytic) = 0.11927282436662874701788420255615
y[1] (numeric) = 0.1192728243666288072091840359796
absolute error = 6.019129983342345e-17
relative error = 5.0465225547441910066340452720048e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.437
y[1] (analytic) = 0.11985483617411291778572963298583
y[1] (numeric) = 0.11985483617411297802903164933179
absolute error = 6.024330201634596e-17
relative error = 5.0263555430362957617619618782732e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.438
y[1] (analytic) = 0.12043712455175126876867335962705
y[1] (numeric) = 0.12043712455175132906395706311834
absolute error = 6.029528370349129e-17
relative error = 5.0063702473719130331176778914724e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.439
y[1] (analytic) = 0.12101968897041623755836313632527
y[1] (numeric) = 0.12101968897041629790560795993187
absolute error = 6.034724482360660e-17
relative error = 4.9865641976950323399408286209514e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.44
y[1] (analytic) = 0.12160252890030774263473904098765
y[1] (numeric) = 0.12160252890030780303392434644469
absolute error = 6.039918530545704e-17
relative error = 4.9669349685131578077420418287688e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.441
y[1] (analytic) = 0.12218564381095366040178664478597
y[1] (numeric) = 0.1221856438109537208528917226118
absolute error = 6.045110507782583e-17
relative error = 4.9474801778968511052420948744904e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.442
y[1] (analytic) = 0.12276903317121030329186304064378
y[1] (numeric) = 0.12276903317121036379486711015811
absolute error = 6.050300406951433e-17
relative error = 4.9281974865061054415333919971530e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.443
y[1] (analytic) = 0.12335269644926289893816999447061
y[1] (numeric) = 0.12335269644926295949305220381279
absolute error = 6.055488220934218e-17
relative error = 4.9090845966427213149810206218533e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.444
y[1] (analytic) = 0.12393663311262607041494701787584
y[1] (numeric) = 0.12393663311262613102168644402323
absolute error = 6.060673942614739e-17
relative error = 4.8901392513278679463645849761458e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.445
y[1] (analytic) = 0.12452084262814431754495569673996
y[1] (numeric) = 0.12452084262814437820353134552631
absolute error = 6.065857564878635e-17
relative error = 4.8713592334040503742907089200154e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.446
y[1] (analytic) = 0.12510532446199249927382514604266
y[1] (numeric) = 0.12510532446199255998421595217672
absolute error = 6.071039080613406e-17
relative error = 4.8527423646607559772468609899600e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.447
y[1] (analytic) = 0.12569007807967631711082699774899
y[1] (numeric) = 0.12569007807967637787301182483307
absolute error = 6.076218482708408e-17
relative error = 4.8342865049830158863007602479278e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.448
y[1] (analytic) = 0.12627510294603279963564686533586
y[1] (numeric) = 0.12627510294603286044960450588457
absolute error = 6.081395764054871e-17
relative error = 4.8159895515222234511234651460814e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=186.9MB, alloc=4.5MB, time=23.60
x[1] = 1.449
y[1] (analytic) = 0.1268603985252307880707177657064
y[1] (numeric) = 0.12686039852523084893642694116541
absolute error = 6.086570917545901e-17
relative error = 4.7978494378885036975303431915927e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.45
y[1] (analytic) = 0.12744596428077142291867951678826
y[1] (numeric) = 0.12744596428077148383611887755323
absolute error = 6.091743936076497e-17
relative error = 4.7798641333640070855239230222072e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.451
y[1] (analytic) = 0.12803179967548863166452666704788
y[1] (numeric) = 0.12803179967548869263367479248343
absolute error = 6.096914812543555e-17
relative error = 4.7620316421364762835993010181951e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.452
y[1] (analytic) = 0.128617904171549617542006051476
y[1] (numeric) = 0.12861790417154967856284144993479
absolute error = 6.102083539845879e-17
relative error = 4.7443500025524943368436805066903e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.453
y[1] (analytic) = 0.12920427723045534936382360731393
y[1] (numeric) = 0.12920427723045541043632471615582
absolute error = 6.107250110884189e-17
relative error = 4.7268172863898195172445682804928e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.454
y[1] (analytic) = 0.12979091831304105241521862189565
y[1] (numeric) = 0.12979091831304111353936380750692
absolute error = 6.112414518561127e-17
relative error = 4.7094315981482408209655296787458e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.455
y[1] (analytic) = 0.13037782687947670041046212448032
y[1] (numeric) = 0.13037782687947676158622968229307
absolute error = 6.117576755781275e-17
relative error = 4.6921910743584171761526222092798e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.456
y[1] (analytic) = 0.13096500238926750851183467384572
y[1] (numeric) = 0.13096500238926756973920282835724
absolute error = 6.122736815451152e-17
relative error = 4.6750938829081455833630058136193e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.457
y[1] (analytic) = 0.13155244430125442741063733370491
y[1] (numeric) = 0.13155244430125448868958423849725
absolute error = 6.127894690479234e-17
relative error = 4.6581382223855805903205256037001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.458
y[1] (analytic) = 0.13214015207361463846978816870185
y[1] (numeric) = 0.13214015207361469980029190646143
absolute error = 6.133050373775958e-17
relative error = 4.6413223214388805552873804402275e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.459
y[1] (analytic) = 0.13272812516386204992755513483425
y[1] (numeric) = 0.13272812516386211130959371737152
absolute error = 6.138203858253727e-17
relative error = 4.6246444381518158429374104961947e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.46
y[1] (analytic) = 0.13331636302884779416197477964898
y[1] (numeric) = 0.13331636302884785559552614791827
absolute error = 6.143355136826929e-17
relative error = 4.6081028594348864530141359611892e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.461
y[1] (analytic) = 0.133904865124760726015504709457
y[1] (numeric) = 0.13390486512476078750054673357639
absolute error = 6.148504202411939e-17
relative error = 4.5916959004314786159543352197769e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.462
y[1] (analytic) = 0.13449363090712792217945632312292
y[1] (numeric) = 0.13449363090712798371596680239417
absolute error = 6.153651047927125e-17
relative error = 4.5754219039386440471996020804053e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.463
y[1] (analytic) = 0.13508265983081518163775285470136
y[1] (numeric) = 0.13508265983081524322570951763003
absolute error = 6.158795666292867e-17
relative error = 4.5592792398420902435253220201805e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.464
y[1] (analytic) = 0.13567195135002752716955631032029
y[1] (numeric) = 0.13567195135002758880893681463586
absolute error = 6.163938050431557e-17
relative error = 4.5432663045649533715363250660875e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.465
y[1] (analytic) = 0.13626150491830970791030542825093
y[1] (numeric) = 0.13626150491830976960108736092706
absolute error = 6.169078193267613e-17
relative error = 4.5273815205299869454221878362221e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.466
y[1] (analytic) = 0.1368513199885467029707053350585
y[1] (numeric) = 0.13685131998854676471286621233335
absolute error = 6.174216087727485e-17
relative error = 4.5116233356347710942599765265636e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.467
y[1] (analytic) = 0.13744139601296422611320811509809
y[1] (numeric) = 0.13744139601296428790672538249478
absolute error = 6.179351726739669e-17
relative error = 4.4959902227395876141248672154632e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.468
y[1] (analytic) = 0.13803173244312923148552205540848
y[1] (numeric) = 0.13803173244312929333037308775556
absolute error = 6.184485103234708e-17
relative error = 4.4804806791675905360278729030196e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.469
y[1] (analytic) = 0.1386223287299504204106858732645
y[1] (numeric) = 0.13862232872995048230684797471657
absolute error = 6.189616210145207e-17
relative error = 4.4650932262169484150492176303674e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.47
y[1] (analytic) = 0.13921318432367874923324277927844
y[1] (numeric) = 0.13921318432367881118069318333687
absolute error = 6.194745040405843e-17
relative error = 4.4498264086846117515127895778279e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.471
y[1] (analytic) = 0.13980429867390793822104777499432
y[1] (numeric) = 0.13980429867390800021976364452799
absolute error = 6.199871586953367e-17
relative error = 4.4346787944013814009663940046126e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.472
y[1] (analytic) = 0.14039567122957498152224013039699
y[1] (numeric) = 0.1403956712295750435721985576632
absolute error = 6.204995842726621e-17
relative error = 4.4196489737779825740505353328827e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.473
y[1] (analytic) = 0.14098730143896065817691153366437
y[1] (numeric) = 0.14098730143896072027808954032979
absolute error = 6.210117800666542e-17
relative error = 4.4047355593618220960715319278068e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.474
y[1] (analytic) = 0.14157918874969004418299895282557
y[1] (numeric) = 0.14157918874969010633537348998731
absolute error = 6.215237453716174e-17
relative error = 4.3899371854041513327069775375549e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.475
y[1] (analytic) = 0.14217133260873302561592979675354
y[1] (numeric) = 0.14217133260873308781947774496025
absolute error = 6.220354794820671e-17
relative error = 4.3752525074373390784155078268108e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.476
memory used=190.7MB, alloc=4.5MB, time=24.10
y[1] (analytic) = 0.14276373246240481280154551111934
y[1] (numeric) = 0.14276373246240487505624368039251
absolute error = 6.225469816927317e-17
relative error = 4.3606802018619980288172706938686e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.477
y[1] (analytic) = 0.14335638775636645554182829356845
y[1] (numeric) = 0.14335638775636651784765342342368
absolute error = 6.230582512985523e-17
relative error = 4.3462189655436703076442805170793e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.478
y[1] (analytic) = 0.14394929793562535939295416144872
y[1] (numeric) = 0.14394929793562542174988292091718
absolute error = 6.235692875946846e-17
relative error = 4.3318675154188456998409592072710e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.479
y[1] (analytic) = 0.14454246244453580299519415492793
y[1] (numeric) = 0.1445424624445358654032031425778
absolute error = 6.240800898764987e-17
relative error = 4.3176245881100322387805487997542e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.48
y[1] (analytic) = 0.14513588072679945645418400828643
y[1] (numeric) = 0.14513588072679951891324975224455
absolute error = 6.245906574395812e-17
relative error = 4.3034889395496673729384423216809e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.481
y[1] (analytic) = 0.14572955222546590077308117256095
y[1] (numeric) = 0.14572955222546596328318013053449
absolute error = 6.251009895797354e-17
relative error = 4.2894593446126053076551592855999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.482
y[1] (analytic) = 0.14632347638293314833512662354915
y[1] (numeric) = 0.14632347638293321089623518284738
absolute error = 6.256110855929823e-17
relative error = 4.2755345967569713560392516536944e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.483
y[1] (analytic) = 0.1469176526409481644361274404642
y[1] (numeric) = 0.14691765264094822704822191802033
absolute error = 6.261209447755613e-17
relative error = 4.2617135076731545498987519556938e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.484
y[1] (analytic) = 0.14751208044060738986637469225579
y[1] (numeric) = 0.14751208044060745252943133464898
absolute error = 6.266305664239319e-17
relative error = 4.2479949069407329344633361809749e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.485
y[1] (analytic) = 0.14810675922235726454150972079081
y[1] (numeric) = 0.14810675922235732725550470426816
absolute error = 6.271399498347735e-17
relative error = 4.2343776416931037600883053943714e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.486
y[1] (analytic) = 0.14870168842599475218185046271411
y[1] (numeric) = 0.14870168842599481494675989321281
absolute error = 6.276490943049870e-17
relative error = 4.2208605762896420167695165642469e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.487
y[1] (analytic) = 0.14929686749066786603968800489122
y[1] (numeric) = 0.14929686749066792885548791806077
absolute error = 6.281579991316955e-17
relative error = 4.2074425919951730929573675113180e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.488
y[1] (analytic) = 0.1498922958548761956740621218704
y[1] (numeric) = 0.1498922958548762585407284830949
absolute error = 6.286666636122450e-17
relative error = 4.1941225866665757497396435169016e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.489
y[1] (analytic) = 0.15048797295647143477252309779385
y[1] (numeric) = 0.15048797295647149769003180221447
absolute error = 6.291750870442062e-17
relative error = 4.1808994744463383494637231823104e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.49
y[1] (analytic) = 0.15108389823265791001938568963964
y[1] (numeric) = 0.15108389823265797298771256217704
absolute error = 6.296832687253740e-17
relative error = 4.1677721854628666907527228020338e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.491
y[1] (analytic) = 0.15168007111999311100997964358674
y[1] (numeric) = 0.15168007111999317402910043896368
absolute error = 6.301912079537694e-17
relative error = 4.1547396655374011665356151245117e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.492
y[1] (analytic) = 0.15227649105438822121039973167026
y[1] (numeric) = 0.15227649105438828428029013443427
absolute error = 6.306989040276401e-17
relative error = 4.1418008758973498919952625375337e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.493
y[1] (analytic) = 0.15287315747110864996225683173177
y[1] (numeric) = 0.1528731574711087130828924562779
absolute error = 6.312063562454613e-17
relative error = 4.1289547928958841463817631813666e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.494
y[1] (analytic) = 0.1534700698047745655319301299736
y[1] (numeric) = 0.15347006980477462870328652056729
absolute error = 6.317135639059369e-17
relative error = 4.1162004077376384395877763811275e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.495
y[1] (analytic) = 0.15406722748936142920381908219829
y[1] (numeric) = 0.15406722748936149242587171299827
absolute error = 6.322205263079998e-17
relative error = 4.1035367262103523345126549054215e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.496
y[1] (analytic) = 0.15466462995820053041709232705558
y[1] (numeric) = 0.15466462995820059368981660213691
absolute error = 6.327272427508133e-17
relative error = 4.0909627684223172020873577510264e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.497
y[1] (analytic) = 0.15526227664397952294542930233277
y[1] (numeric) = 0.15526227664397958626880055571001
absolute error = 6.332337125337724e-17
relative error = 4.0784775685454743756587142525867e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.498
y[1] (analytic) = 0.15586016697874296211924887351085
y[1] (numeric) = 0.15586016697874302549324236916121
absolute error = 6.337399349565036e-17
relative error = 4.0660801745640142955632686117408e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.499
y[1] (analytic) = 0.15645830039389284308991784247005
y[1] (numeric) = 0.15645830039389290651450877435669
absolute error = 6.342459093188664e-17
relative error = 4.0537696480283599406774440072401e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.5
y[1] (analytic) = 0.15705667632018914013543076336774
y[1] (numeric) = 0.15705667632018920361059425546317
absolute error = 6.347516349209543e-17
relative error = 4.0415450638143867325873932241373e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.501
y[1] (analytic) = 0.15765529418775034700705105232891
y[1] (numeric) = 0.1576552941877504105327621586385
absolute error = 6.352571110630959e-17
relative error = 4.0294055098877530702296040937862e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.502
y[1] (analytic) = 0.15825415342605401831640193768811
y[1] (numeric) = 0.15825415342605408189263564227355
absolute error = 6.357623370458544e-17
relative error = 4.0173500870732046597141368079674e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.503
y[1] (analytic) = 0.15885325346393731196249435810198
y[1] (numeric) = 0.15885325346393737558922557510506
memory used=194.5MB, alloc=4.5MB, time=24.59
absolute error = 6.362673121700308e-17
relative error = 4.0053779088287637369568160691550e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.504
y[1] (analytic) = 0.15945259372959753259817747691793
y[1] (numeric) = 0.15945259372959759627538105058422
absolute error = 6.367720357366629e-17
relative error = 3.9934881010246339175697555834976e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.505
y[1] (analytic) = 0.16005217365059267613549604273493
y[1] (numeric) = 0.16005217365059273986314674743759
absolute error = 6.372765070470266e-17
relative error = 3.9816798017267462046887980043051e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.506
y[1] (analytic) = 0.16065199265384197528943738813258
y[1] (numeric) = 0.16065199265384203906750992839634
absolute error = 6.377807254026376e-17
relative error = 3.9699521609848213849543419054056e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.507
y[1] (analytic) = 0.1612520501656264461595494210743
y[1] (numeric) = 0.16125205016562650998801843159943
absolute error = 6.382846901052513e-17
relative error = 3.9583043406248256641970848735682e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.508
y[1] (analytic) = 0.16185234561158943584890952651125
y[1] (numeric) = 0.16185234561158949972774957219766
absolute error = 6.387884004568641e-17
relative error = 3.9467355140457331867506405277028e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.509
y[1] (analytic) = 0.1624528784167371711199228592288
y[1] (numeric) = 0.16245287841673723504910843520027
absolute error = 6.392918557597147e-17
relative error = 3.9352448660204831020009631834296e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.51
y[1] (analytic) = 0.16305364800543930808642707298779
y[1] (numeric) = 0.16305364800543937206593260461619
absolute error = 6.397950553162840e-17
relative error = 3.9238315925010219402704266507133e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.511
y[1] (analytic) = 0.16365465380142948294157909551976
y[1] (numeric) = 0.16365465380142954697137893844946
absolute error = 6.402979984292970e-17
relative error = 3.9124949004273543932719125340091e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.512
y[1] (analytic) = 0.16425589522780586372099812394266
y[1] (numeric) = 0.16425589522780592780106656411498
absolute error = 6.408006844017232e-17
relative error = 3.9012340075404856387924997219599e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.513
y[1] (analytic) = 0.16485737170703170310063758067067
y[1] (numeric) = 0.16485737170703176723094883434841
absolute error = 6.413031125367774e-17
relative error = 3.8900481421991743206765476148157e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.514
y[1] (analytic) = 0.16545908266093589222885733590205
y[1] (numeric) = 0.16545908266093595640938554969414
absolute error = 6.418052821379209e-17
relative error = 3.8789365432004059766312498800346e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.515
y[1] (analytic) = 0.16606102751071351559216606928414
y[1] (numeric) = 0.16606102751071357982288532017037
absolute error = 6.423071925088623e-17
relative error = 3.8678984596034943210508729528692e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.516
y[1] (analytic) = 0.16666320567692640691410221037566
y[1] (numeric) = 0.16666320567692647119498650573146
absolute error = 6.428088429535580e-17
relative error = 3.8569331505577256880729656929549e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.517
y[1] (analytic) = 0.16726561657950370608672046505602
y[1] (numeric) = 0.16726561657950377041774374267742
absolute error = 6.433102327762140e-17
relative error = 3.8460398851334731748323434451124e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.518
y[1] (analytic) = 0.16786825963774241713414950307141
y[1] (numeric) = 0.16786825963774248151528563119996
absolute error = 6.438113612812855e-17
relative error = 3.8352179421566785852752605555023e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.519
y[1] (analytic) = 0.16847113427030796720768495045828
y[1] (numeric) = 0.16847113427030803163890772780621
absolute error = 6.443122277734793e-17
relative error = 3.8244666100466534818043259787348e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.52
y[1] (analytic) = 0.16907423989523476661188039965112
y[1] (numeric) = 0.16907423989523483109316355542644
absolute error = 6.448128315577532e-17
relative error = 3.8137851866570880056730291881109e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.521
y[1] (analytic) = 0.16967757592992676986109771966126
y[1] (numeric) = 0.16967757592992683439241491359305
absolute error = 6.453131719393179e-17
relative error = 3.8031729791202257358034521601096e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.522
y[1] (analytic) = 0.1702811417911580377659765188127
y[1] (numeric) = 0.17028114179115810234730134117647
absolute error = 6.458132482236377e-17
relative error = 3.7926293036941098610305072051057e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.523
y[1] (analytic) = 0.17088493689507330054928118313799
y[1] (numeric) = 0.17088493689507336518058715478105
absolute error = 6.463130597164306e-17
relative error = 3.7821534856128336347245536893270e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.524
y[1] (analytic) = 0.17148896065718852199058248467569
y[1] (numeric) = 0.17148896065718858667184305704278
absolute error = 6.468126057236709e-17
relative error = 3.7717448589397444058661930882284e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.525
y[1] (analytic) = 0.17209321249239146459922932557316
y[1] (numeric) = 0.17209321249239152933041788073198
absolute error = 6.473118855515882e-17
relative error = 3.7614027664234983474719546855441e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.526
y[1] (analytic) = 0.17269769181494225581506475608373
y[1] (numeric) = 0.17269769181494232059615460675067
absolute error = 6.478108985066694e-17
relative error = 3.7511265593569392880293546748914e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.527
y[1] (analytic) = 0.1733023980384739552363389772608
y[1] (numeric) = 0.17330239803847402006730336682672
absolute error = 6.483096438956592e-17
relative error = 3.7409155974387116141417773560288e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.528
y[1] (analytic) = 0.17390733057599312287427061239224
y[1] (numeric) = 0.17390733057599318775508271494839
absolute error = 6.488081210255615e-17
relative error = 3.7307692486375592665010501623338e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.529
y[1] (analytic) = 0.17451248883988038843370610499012
y[1] (numeric) = 0.17451248883988045336433902535406
absolute error = 6.493063292036394e-17
relative error = 3.7206868890592371267821839112883e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.53
memory used=198.3MB, alloc=4.5MB, time=25.08
y[1] (analytic) = 0.17511787224189102161932567545367
y[1] (numeric) = 0.17511787224189108659975244919534
absolute error = 6.498042677374167e-17
relative error = 3.7106679028159927051751682096780e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.531
y[1] (analytic) = 0.17572348019315550346684284336126
y[1] (numeric) = 0.17572348019315556849703643682915
absolute error = 6.503019359346789e-17
relative error = 3.7007116818985491972800616672933e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.532
y[1] (analytic) = 0.17632931210418009869864309771975
y[1] (numeric) = 0.17632931210418016377857640806711
absolute error = 6.507993331034736e-17
relative error = 3.6908176260505335348859286877992e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.533
y[1] (analytic) = 0.17693536738484742910330587341003
y[1] (numeric) = 0.1769353673848474942329517286212
absolute error = 6.512964585521117e-17
relative error = 3.6809851426453029669613170614360e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.534
y[1] (analytic) = 0.17754164544441704793845256851739
y[1] (numeric) = 0.17754164544441711311778372743421
absolute error = 6.517933115891682e-17
relative error = 3.6712136465651102243767773169942e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.535
y[1] (analytic) = 0.1781481456915260153563619142264
y[1] (numeric) = 0.17814814569152608058535106657471
absolute error = 6.522898915234831e-17
relative error = 3.6615025600825583921123077809308e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.536
y[1] (analytic) = 0.17875486753418947485179258649356
y[1] (numeric) = 0.17875486753418954013041235290979
absolute error = 6.527861976641623e-17
relative error = 3.6518513127442944812702412146170e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.537
y[1] (analytic) = 0.17936181037980123073145152679001
y[1] (numeric) = 0.17936181037980129605967445884788
absolute error = 6.532822293205787e-17
relative error = 3.6422593412568936472457871085786e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.538
y[1] (analytic) = 0.17996897363513432660454501783173
y[1] (numeric) = 0.17996897363513439198234359806899
absolute error = 6.537779858023726e-17
relative error = 3.6327260893748810884536340609997e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.539
y[1] (analytic) = 0.18057635670634162489384813938831
y[1] (numeric) = 0.18057635670634169032119478133358
absolute error = 6.542734664194527e-17
relative error = 3.6232510077908521742388945485947e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.54
y[1] (analytic) = 0.18118395899895638736672680898556
y[1] (numeric) = 0.18118395899895645284359385718531
absolute error = 6.547686704819975e-17
relative error = 3.6138335540276440385736896509946e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.541
y[1] (analytic) = 0.18179177991789285668554519259331
y[1] (numeric) = 0.18179177991789292221190492263887
absolute error = 6.552635973004556e-17
relative error = 3.6044731923325058865475407516918e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.542
y[1] (analytic) = 0.1823998188674468389768898512195
y[1] (numeric) = 0.18239981886744690455271446977419
absolute error = 6.557582461855469e-17
relative error = 3.5951693935732357691192137957746e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.543
y[1] (analytic) = 0.18300807525129628741904057071763
y[1] (numeric) = 0.18300807525129635304430221554396
absolute error = 6.562526164482633e-17
relative error = 3.5859216351362337761033171042593e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.544
y[1] (analytic) = 0.18361654847250188684711640405776
y[1] (numeric) = 0.18361654847250195252178714404471
absolute error = 6.567467073998695e-17
relative error = 3.5767294008264337338917511605020e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.545
y[1] (analytic) = 0.18422523793350763937532403781372
y[1] (numeric) = 0.18422523793350770509937587300416
absolute error = 6.572405183519044e-17
relative error = 3.5675921807690758735536091317836e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.546
y[1] (analytic) = 0.18483414303614145103573417768329
y[1] (numeric) = 0.18483414303614151680913903930147
absolute error = 6.577340486161818e-17
relative error = 3.5585094713132741074917905641434e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.547
y[1] (analytic) = 0.18544326318161571943301023148454
y[1] (numeric) = 0.18544326318161578525573998196356
absolute error = 6.582272975047902e-17
relative error = 3.5494807749373386265648085225098e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.548
y[1] (analytic) = 0.186052597770527922414512152263
y[1] (numeric) = 0.18605259777052798828653858527253
absolute error = 6.587202643300953e-17
relative error = 3.5405056001558359092132333110144e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.549
y[1] (analytic) = 0.18666214620286120775519688890298
y[1] (numeric) = 0.18666214620286127367649172937702
absolute error = 6.592129484047404e-17
relative error = 3.5315834614283236287574422385123e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.55
y[1] (analytic) = 0.1872719078779849838567354769626
y[1] (numeric) = 0.18727190787798504982727038112725
absolute error = 6.597053490416465e-17
relative error = 3.5227138790697347453884843943411e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.551
y[1] (analytic) = 0.18788188219465551146026538834881
y[1] (numeric) = 0.1878818821946555774800119437502
absolute error = 6.601974655540139e-17
relative error = 3.5138963791623856689692473064277e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.552
y[1] (analytic) = 0.18849206855101649637219534491808
y[1] (numeric) = 0.18849206855101656244112507045037
absolute error = 6.606892972553229e-17
relative error = 3.5051304934695616802350430326927e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.553
y[1] (analytic) = 0.18910246634459968320247838813077
y[1] (numeric) = 0.18910246634459974932056273406427
absolute error = 6.611808434593350e-17
relative error = 3.4964157593506540363339931592869e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.554
y[1] (analytic) = 0.18971307497232545011476758450607
y[1] (numeric) = 0.18971307497232551628197793251539
absolute error = 6.616721034800932e-17
relative error = 3.4877517196778090226703070911903e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.555
y[1] (analytic) = 0.19032389383050340458786733482002
y[1] (numeric) = 0.19032389383050347080417499801235
absolute error = 6.621630766319233e-17
relative error = 3.4791379227540675101784847361769e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.556
y[1] (analytic) = 0.19093492231483298018789184376475
y[1] (numeric) = 0.19093492231483304645326806670818
absolute error = 6.626537622294343e-17
relative error = 3.4705739222329541638329433168169e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.557
memory used=202.1MB, alloc=4.5MB, time=25.57
y[1] (analytic) = 0.19154615982040403435054089614321
y[1] (numeric) = 0.19154615982040410066495685489522
absolute error = 6.631441595875201e-17
relative error = 3.4620592770394978369473805828691e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.558
y[1] (analytic) = 0.19215760574169744717290167561341
y[1] (numeric) = 0.19215760574169751353632847774938
absolute error = 6.636342680213597e-17
relative error = 3.4535935512926390783932487801205e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.559
y[1] (analytic) = 0.19276925947258572121418395251989
y[1] (numeric) = 0.19276925947258578762659263716171
absolute error = 6.641240868464182e-17
relative error = 3.4451763142290081990202603883103e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.56
y[1] (analytic) = 0.19338112040633358230479455846103
y[1] (numeric) = 0.19338112040633364876615609630581
absolute error = 6.646136153784478e-17
relative error = 3.4368071401280416778074135242374e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.561
y[1] (analytic) = 0.19399318793559858136315565693983
y[1] (numeric) = 0.19399318793559864787344095028873
absolute error = 6.651028529334890e-17
relative error = 3.4284856082384106030906497076336e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.562
y[1] (analytic) = 0.19460546145243169721966991173511
y[1] (numeric) = 0.19460546145243176377884979452215
absolute error = 6.655917988278704e-17
relative error = 3.4202113027057262050161587524328e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.563
y[1] (analytic) = 0.19521794034827794044723424751074
y[1] (numeric) = 0.19521794034827800705527948533182
absolute error = 6.660804523782108e-17
relative error = 3.4119838125015155110368950621807e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.564
y[1] (analytic) = 0.19583062401397695819770249065627
y[1] (numeric) = 0.19583062401397702485458378079823
absolute error = 6.665688129014196e-17
relative error = 3.4038027313534209619362070478186e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.565
y[1] (analytic) = 0.19644351183976364004369577242232
y[1] (numeric) = 0.19644351183976370674938374389206
absolute error = 6.670568797146974e-17
relative error = 3.3956676576766089637383878389485e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.566
y[1] (analytic) = 0.19705660321526872482515817108211
y[1] (numeric) = 0.19705660321526879157962338463586
absolute error = 6.675446521355375e-17
relative error = 3.3875781945063665886045078490385e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.567
y[1] (analytic) = 0.19766989752951940850005366511802
y[1] (numeric) = 0.19766989752951947530326661329061
absolute error = 6.680321294817259e-17
relative error = 3.3795339494318504253128451250198e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.568
y[1] (analytic) = 0.19828339417093995299859906529978
y[1] (numeric) = 0.19828339417094001985053017243408
absolute error = 6.685193110713430e-17
relative error = 3.3715345345309806686792974058860e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.569
y[1] (analytic) = 0.1988970925273522960804261899923
y[1] (numeric) = 0.19889709252735236298104581226871
absolute error = 6.690061962227641e-17
relative error = 3.3635795663064429954516034729231e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.57
y[1] (analytic) = 0.19951099198597666219406514510642
y[1] (numeric) = 0.19951099198597672914334357057246
absolute error = 6.694927842546604e-17
relative error = 3.3556686656227847098410445674301e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.571
y[1] (analytic) = 0.20012509193343217433813916778821
y[1] (numeric) = 0.20012509193343224133604661638818
absolute error = 6.699790744859997e-17
relative error = 3.3478014576445794402583356974257e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.572
y[1] (analytic) = 0.20073939175573746692366009123235
y[1] (numeric) = 0.2007393917557375339701667148371
absolute error = 6.704650662360475e-17
relative error = 3.3399775717756427303520047731049e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.573
y[1] (analytic) = 0.20135389083831129963681208690574
y[1] (numeric) = 0.20135389083831136673188796934249
absolute error = 6.709507588243675e-17
relative error = 3.3321966415992728163110882565305e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.574
y[1] (analytic) = 0.20196858856597317230160993997925
y[1] (numeric) = 0.20196858856597323944522509706156
absolute error = 6.714361515708231e-17
relative error = 3.3244583048195043431054366220786e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.575
y[1] (analytic) = 0.20258348432294394074181671389161
y[1] (numeric) = 0.20258348432294400793394109344939
absolute error = 6.719212437955778e-17
relative error = 3.3167622032033447681944377116187e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.576
y[1] (analytic) = 0.20319857749284643364150426071028
y[1] (numeric) = 0.20319857749284650088210774261987
absolute error = 6.724060348190959e-17
relative error = 3.3091079825239811215726313739592e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.577
y[1] (analytic) = 0.2038138674587060704036386353126
y[1] (numeric) = 0.20381386745870613769269103152701
absolute error = 6.728905239621441e-17
relative error = 3.3014952925049411280683219910878e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.578
y[1] (analytic) = 0.20442935360295148000607107338813
y[1] (numeric) = 0.20442935360295154734354212796729
absolute error = 6.733747105457916e-17
relative error = 3.2939237867651783731015067803404e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.579
y[1] (analytic) = 0.20504503530741512085431379586093
y[1] (numeric) = 0.20504503530741518824017318500208
absolute error = 6.738585938914115e-17
relative error = 3.2863931227650772474953517540732e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.58
y[1] (analytic) = 0.2056609119533339016304785055517
y[1] (numeric) = 0.20566091195333396906469583761985
absolute error = 6.743421733206815e-17
relative error = 3.2789029617533501366428697538935e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.581
y[1] (analytic) = 0.20627698292134980313775404574482
y[1] (numeric) = 0.20627698292134987062029886130326
absolute error = 6.748254481555844e-17
relative error = 3.2714529687148120641991303691060e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.582
y[1] (analytic) = 0.2068932475915105011397982947967
y[1] (numeric) = 0.20689324759151056867064006663768
absolute error = 6.753084177184098e-17
relative error = 3.2640428123190226713558142790922e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.583
y[1] (analytic) = 0.20750970534326999019441797602159
y[1] (numeric) = 0.20750970534327005777352610919702
absolute error = 6.757910813317543e-17
relative error = 3.2566721648697658641976360076012e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.584
memory used=206.0MB, alloc=4.6MB, time=26.05
y[1] (analytic) = 0.20812635555548920848090866782002
y[1] (numeric) = 0.20812635555548927610825249967224
absolute error = 6.762734383185222e-17
relative error = 3.2493407022553607169037758490404e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.585
y[1] (analytic) = 0.20874319760643666362042590537588
y[1] (numeric) = 0.20874319760643673129597470556865
absolute error = 6.767554880019277e-17
relative error = 3.2420481038997925502409637297326e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.586
y[1] (analytic) = 0.20936023087378905948875687224297
y[1] (numeric) = 0.20936023087378912721247984279233
absolute error = 6.772372297054936e-17
relative error = 3.2347940527146246784246649095971e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.587
y[1] (analytic) = 0.20997745473463192402086078777017
y[1] (numeric) = 0.20997745473463199179272706307562
absolute error = 6.777186627530545e-17
relative error = 3.2275782350517141295374749374134e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.588
y[1] (analytic) = 0.21059486856546023800654470458227
y[1] (numeric) = 0.21059486856546030582652335145783
absolute error = 6.781997864687556e-17
relative error = 3.2204003406566738221556262015334e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.589
y[1] (analytic) = 0.21121247174217906487664003923723
y[1] (numeric) = 0.21121247174217913274470005694274
absolute error = 6.786806001770551e-17
relative error = 3.2132600626231050131359436119646e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.59
y[1] (analytic) = 0.21183026364010418147904376872752
y[1] (numeric) = 0.21183026364010424939515408899998
absolute error = 6.791611032027246e-17
relative error = 3.2061570973475590478264848507318e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.591
y[1] (analytic) = 0.21244824363396270984398683568072
y[1] (numeric) = 0.21244824363396277780811632276565
absolute error = 6.796412948708493e-17
relative error = 3.1990911444852232033015527244299e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.592
y[1] (analytic) = 0.21306641109789374993789091594667
y[1] (numeric) = 0.21306641109789381795000836662965
absolute error = 6.801211745068298e-17
relative error = 3.1920619069063255113404286809604e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.593
y[1] (analytic) = 0.21368476540544901340517331373717
y[1] (numeric) = 0.21368476540544908146524745737545
absolute error = 6.806007414363828e-17
relative error = 3.1850690906532324827524993027306e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.594
y[1] (analytic) = 0.21430330592959345829735836160969
y[1] (numeric) = 0.21430330592959352640535786016381
absolute error = 6.810799949855412e-17
relative error = 3.1781124048982291648414881648539e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.595
y[1] (analytic) = 0.21492203204270592478885231536181
y[1] (numeric) = 0.21492203204270599294474576342743
absolute error = 6.815589344806562e-17
relative error = 3.1711915619019809549649656198375e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.596
y[1] (analytic) = 0.21554094311657977187873734733044
y[1] (numeric) = 0.21554094311657984008249327217011
absolute error = 6.820375592483967e-17
relative error = 3.1643062769726427153845783954265e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.597
y[1] (analytic) = 0.21616003852242351507793885566859
y[1] (numeric) = 0.21616003852242358332952571724379
absolute error = 6.825158686157520e-17
relative error = 3.1574562684256310018978152081508e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.598
y[1] (analytic) = 0.21677931763086146508111892190831
y[1] (numeric) = 0.21677931763086153338050511291137
absolute error = 6.829938619100306e-17
relative error = 3.1506412575440139444703778584152e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.599
y[1] (analytic) = 0.21739877981193436742264736450836
y[1] (numeric) = 0.21739877981193443576980121039464
absolute error = 6.834715384588628e-17
relative error = 3.1438609685395428704045057783642e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.6
y[1] (analytic) = 0.21801842443510004311600045213608
y[1] (numeric) = 0.21801842443510011151089021115615
absolute error = 6.839488975902007e-17
relative error = 3.1371151285142845190165098448335e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.601
y[1] (analytic) = 0.21863825086923403027593595714192
y[1] (numeric) = 0.21863825086923409871852982037384
absolute error = 6.844259386323192e-17
relative error = 3.1304034674228593469910382957607e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.602
y[1] (analytic) = 0.21925825848263022672279184705754
y[1] (numeric) = 0.21925825848263029521305793843922
absolute error = 6.849026609138168e-17
relative error = 3.1237257180352693875950714615924e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.603
y[1] (analytic) = 0.21987844664300153356825452998375
y[1] (numeric) = 0.21987844664300160210616090634542
absolute error = 6.853790637636167e-17
relative error = 3.1170816159003072120979495138220e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.604
y[1] (analytic) = 0.22049881471748049978194118843613
y[1] (numeric) = 0.22049881471748056836745583953289
absolute error = 6.858551465109676e-17
relative error = 3.1104708993095327243175665965156e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.605
y[1] (analytic) = 0.22111936207261996773813935558445
y[1] (numeric) = 0.22111936207262003637123020412891
absolute error = 6.863309084854446e-17
relative error = 3.1038933092618093209710907435116e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.606
y[1] (analytic) = 0.22174008807439371974204550786002
y[1] (numeric) = 0.22174008807439378842268040955497
absolute error = 6.868063490169495e-17
relative error = 3.0973485894283861612549042653677e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.607
y[1] (analytic) = 0.22236099208819712553484306861337
y[1] (numeric) = 0.22236099208819719426298981218463
absolute error = 6.872814674357126e-17
relative error = 3.0908364861185261595978628871577e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.608
y[1] (analytic) = 0.2229820734788477907769588388865
y[1] (numeric) = 0.22298207347884785955258514611578
absolute error = 6.877562630722928e-17
relative error = 3.0843567482456555381228482463697e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.609
y[1] (analytic) = 0.22360333161058620650883549341909
y[1] (numeric) = 0.223603331610586275331909019177
absolute error = 6.882307352575791e-17
relative error = 3.0779091272940394702197526027843e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.61
y[1] (analytic) = 0.2242247658470763995885564027407
y[1] (numeric) = 0.22422476584707646845904473501976
absolute error = 6.887048833227906e-17
relative error = 3.0714933772859614708861988139966e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.611
memory used=209.8MB, alloc=4.6MB, time=26.55
y[1] (analytic) = 0.2248463755514065841056576656104
y[1] (numeric) = 0.22484637555140665302352832555825
absolute error = 6.891787065994785e-17
relative error = 3.0651092547494131312011947740850e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.612
y[1] (analytic) = 0.2254681600860898137704608601558
y[1] (numeric) = 0.2254681600860898827356813021084
absolute error = 6.896522044195260e-17
relative error = 3.0587565186862669253925525286173e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.613
y[1] (analytic) = 0.22609011881306463527825864683409
y[1] (numeric) = 0.22609011881306470429079625834905
absolute error = 6.901253761151496e-17
relative error = 3.0524349305409390183480493878470e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.614
y[1] (analytic) = 0.22671225109369574264768398179311
y[1] (numeric) = 0.22671225109369581170750608368306
absolute error = 6.905982210188995e-17
relative error = 3.0461442541695232512759581110097e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.615
y[1] (analytic) = 0.22733455628877463253259232534976
y[1] (numeric) = 0.22733455628877470163966617171592
absolute error = 6.910707384636616e-17
relative error = 3.0398842558093989947002510193330e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.616
y[1] (analytic) = 0.2279570337585202605067848571305
y[1] (numeric) = 0.2279570337585203296610776353962
absolute error = 6.915429277826570e-17
relative error = 3.0336547040492865319794799275771e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.617
y[1] (analytic) = 0.22857968286257969832089933693323
y[1] (numeric) = 0.2285796828625797675223781678776
absolute error = 6.920147883094437e-17
relative error = 3.0274553697997626947356325114652e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.618
y[1] (analytic) = 0.22920250296002879213079387857654
y[1] (numeric) = 0.22920250296002886137942581636825
absolute error = 6.924863193779171e-17
relative error = 3.0212860262642138414523973882998e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.619
y[1] (analytic) = 0.2298254934093728216967475328998
y[1] (numeric) = 0.22982549340937289099249956513089
absolute error = 6.929575203223109e-17
relative error = 3.0151464489102255091461622926438e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.62
y[1] (analytic) = 0.23044865356854716055280020566985
y[1] (numeric) = 0.23044865356854722989563925338969
absolute error = 6.934283904771984e-17
relative error = 3.0090364154414011263533629500838e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.621
y[1] (analytic) = 0.23107198279491793714555306643798
y[1] (numeric) = 0.23107198279491800653544598418724
absolute error = 6.938989291774926e-17
relative error = 3.0029557057695954026575355805906e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.622
y[1] (analytic) = 0.23169548044528269694174923537566
y[1] (numeric) = 0.23169548044528276637866281122045
absolute error = 6.943691357584479e-17
relative error = 2.9969041019875672973472979654795e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.623
y[1] (analytic) = 0.23231914587587106550395316680295
y[1] (numeric) = 0.23231914587587113498785412236894
absolute error = 6.948390095556599e-17
relative error = 2.9908813883420302343008504410334e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.624
y[1] (analytic) = 0.23294297844234541253364578050805
y[1] (numeric) = 0.23294297844234548206450077101481
absolute error = 6.953085499050676e-17
relative error = 2.9848873512071111809338556969787e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.625
y[1] (analytic) = 0.23356697749980151688105102504625
y[1] (numeric) = 0.23356697749980158645882663934153
absolute error = 6.957777561429528e-17
relative error = 2.9789217790581892754330500280945e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.626
y[1] (analytic) = 0.23419114240276923252100819099818
y[1] (numeric) = 0.23419114240276930214567095159241
absolute error = 6.962466276059423e-17
relative error = 2.9729844624461314158658039748399e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.627
y[1] (analytic) = 0.23481547250521315549420292666802
y[1] (numeric) = 0.2348154725052132251657192897688
absolute error = 6.967151636310078e-17
relative error = 2.9670751939718962754928008185957e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.628
y[1] (analytic) = 0.23543996716053329181306854390878
y[1] (numeric) = 0.23543996716053336153140489945551
absolute error = 6.971833635554673e-17
relative error = 2.9611937682615166042927362688154e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.629
y[1] (analytic) = 0.23606462572156572633166783767996
y[1] (numeric) = 0.23606462572156579609679050937852
absolute error = 6.976512267169856e-17
relative error = 2.9553399819414431932501721990537e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.63
y[1] (analytic) = 0.23668944754058329257886427957142
y[1] (numeric) = 0.23668944754058336239073952492895
absolute error = 6.981187524535753e-17
relative error = 2.9495136336142502729940411948522e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.631
y[1] (analytic) = 0.23731443196929624355409008287011
y[1] (numeric) = 0.23731443196929631341268409322992
absolute error = 6.985859401035981e-17
relative error = 2.9437145238346953706806511049985e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.632
y[1] (analytic) = 0.23793957835885292348501727480396
y[1] (numeric) = 0.23793957835885299339029617538041
absolute error = 6.990527890057645e-17
relative error = 2.9379424550861196406828833962062e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.633
y[1] (analytic) = 0.23856488605984044054643655037133
y[1] (numeric) = 0.23856488605984051049836640028494
absolute error = 6.995192984991361e-17
relative error = 2.9321972317572005373942894778921e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.634
y[1] (analytic) = 0.23919035442228534053964732165854
y[1] (numeric) = 0.23919035442228541053819411397108
absolute error = 6.999854679231254e-17
relative error = 2.9264786601190295593175333117716e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.635
y[1] (analytic) = 0.23981598279565428153166101676088
y[1] (numeric) = 0.23981598279565435157679067851058
absolute error = 7.004512966174970e-17
relative error = 2.9207865483025258817113100205768e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.636
y[1] (analytic) = 0.24044177052885470945351832335895
y[1] (numeric) = 0.2404417705288547795451967155958
absolute error = 7.009167839223685e-17
relative error = 2.9151207062761731701624859497615e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.637
y[1] (analytic) = 0.24106771697023553465701971366202
y[1] (numeric) = 0.24106771697023560479521263148314
absolute error = 7.013819291782112e-17
relative error = 2.9094809458240745888759637282815e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=213.6MB, alloc=4.6MB, time=27.04
x[1] = 1.638
y[1] (analytic) = 0.2416938214675878094291672298155
y[1] (numeric) = 0.24169382146758787961384040240063
absolute error = 7.018467317258513e-17
relative error = 2.9038670805243235942889924713398e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.639
y[1] (analytic) = 0.24232008336814540646361415198312
y[1] (numeric) = 0.24232008336814547669473324263014
absolute error = 7.023111909064702e-17
relative error = 2.8982789257276794793894836453176e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.64
y[1] (analytic) = 0.24294650201858569828841781515634
y[1] (numeric) = 0.24294650201858576856594842131694
absolute error = 7.027753060616060e-17
relative error = 2.8927162985365512595090210503965e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.641
y[1] (analytic) = 0.24357307676503023764938948531735
y[1] (numeric) = 0.24357307676503030797329713863274
absolute error = 7.032390765331539e-17
relative error = 2.8871790177842753436679714246514e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.642
y[1] (analytic) = 0.24419980695304543884833385088773
y[1] (numeric) = 0.2441998069530455092185840172244
absolute error = 7.037025016633667e-17
relative error = 2.8816669040146870585499278905768e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.643
y[1] (analytic) = 0.24482669192764326003546933143552
y[1] (numeric) = 0.24482669192764333045202741092122
absolute error = 7.041655807948570e-17
relative error = 2.8761797794619877165753324446566e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.644
y[1] (analytic) = 0.24545373103328188645531905239083
y[1] (numeric) = 0.24545373103328195691815037945049
absolute error = 7.046283132705966e-17
relative error = 2.8707174680308840250780099821441e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.645
y[1] (analytic) = 0.24608092361386641464536098203412
y[1] (numeric) = 0.2460809236138664851544308254259
absolute error = 7.050906984339178e-17
relative error = 2.8652797952770144848550702123036e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.646
y[1] (analytic) = 0.24670826901274953758672437527661
y[1] (numeric) = 0.24670826901274960814199793812811
absolute error = 7.055527356285150e-17
relative error = 2.8598665883876515847076630752554e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.647
y[1] (analytic) = 0.24733576657273223080621831774844
y[1] (numeric) = 0.24733576657273230140766073759288
absolute error = 7.060144241984444e-17
relative error = 2.8544776761626663923114380645583e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.648
y[1] (analytic) = 0.24796341563606443942897681344906
y[1] (numeric) = 0.24796341563606451007655316226158
absolute error = 7.064757634881252e-17
relative error = 2.8491128889957649897305862647243e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.649
y[1] (analytic) = 0.24859121554444576618100350969924
y[1] (numeric) = 0.24859121554444583687467879393338
absolute error = 7.069367528423414e-17
relative error = 2.8437720588559887064875620064509e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.65
y[1] (analytic) = 0.24921916563902616034089780436544
y[1] (numeric) = 0.24921916563902623108063696498957
absolute error = 7.073973916062413e-17
relative error = 2.8384550192694622331147223771842e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.651
y[1] (analytic) = 0.24984726526040660764004273230629
y[1] (numeric) = 0.24984726526040667842581064484017
absolute error = 7.078576791253388e-17
relative error = 2.8331616053014020284250227454463e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.652
y[1] (analytic) = 0.25047551374863982111053368072152
y[1] (numeric) = 0.25047551374863989194229515527302
absolute error = 7.083176147455150e-17
relative error = 2.8278916535383748205959749228295e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.653
y[1] (analytic) = 0.25110391044323093288012563656555
y[1] (numeric) = 0.25110391044323100375784541786731
absolute error = 7.087771978130176e-17
relative error = 2.8226450020707922172248875229977e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.654
y[1] (analytic) = 0.25173245468313818691347532342313
y[1] (numeric) = 0.25173245468313825783711809086944
absolute error = 7.092364276744631e-17
relative error = 2.8174214904756575059066402579388e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.655
y[1] (analytic) = 0.25236114580677363269895324023641
y[1] (numeric) = 0.25236114580677370366848360792014
absolute error = 7.096953036768373e-17
relative error = 2.8122209597995427557217096431959e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.656
y[1] (analytic) = 0.25298998315200381988029927002071
y[1] (numeric) = 0.25298998315200389089568178677024
absolute error = 7.101538251674953e-17
relative error = 2.8070432525417972894382432080421e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.657
y[1] (analytic) = 0.25361896605615049383239418321352
y[1] (numeric) = 0.25361896605615056489359333262988
absolute error = 7.106119914941636e-17
relative error = 2.8018882126379940891219166596173e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.658
y[1] (analytic) = 0.25424809385599129218041801757018
y[1] (numeric) = 0.25424809385599136328739821806416
absolute error = 7.110698020049398e-17
relative error = 2.7967556854435926365206146484142e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.659
y[1] (analytic) = 0.25487736588776044226166497454916
y[1] (numeric) = 0.25487736588776051341439057937863
absolute error = 7.115272560482947e-17
relative error = 2.7916455177178335963769139007462e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.66
y[1] (analytic) = 0.25550678148714945952928313092579
y[1] (numeric) = 0.25550678148714953072771842823298
absolute error = 7.119843529730719e-17
relative error = 2.7865575576078424778248851805416e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.661
y[1] (analytic) = 0.25613633998930784689720592393296
y[1] (numeric) = 0.25613633998930791814131513678191
absolute error = 7.124410921284895e-17
relative error = 2.7814916546329569424841457451825e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.662
y[1] (analytic) = 0.25676604072884379502554102855662
y[1] (numeric) = 0.25676604072884386631528831497064
absolute error = 7.128974728641402e-17
relative error = 2.7764476596692598095794712828205e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.663
y[1] (analytic) = 0.25739588303982488354568090671091
y[1] (numeric) = 0.25739588303982495488103035971021
absolute error = 7.133534945299930e-17
relative error = 2.7714254249343269612298002735554e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.664
y[1] (analytic) = 0.25802586625577878322439796988753
y[1] (numeric) = 0.25802586625577885460531361752689
absolute error = 7.138091564763936e-17
relative error = 2.7664248039721755250622946014231e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.665
memory used=217.4MB, alloc=4.6MB, time=27.53
y[1] (analytic) = 0.2586559897096939590661859595152
y[1] (numeric) = 0.25865598970969403049263176492169
absolute error = 7.142644580540649e-17
relative error = 2.7614456516384146154165785235260e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.666
y[1] (analytic) = 0.25928625273402037435310781268176
y[1] (numeric) = 0.25928625273402044582504767409262
absolute error = 7.147193986141086e-17
relative error = 2.7564878240855993223462723012035e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.667
y[1] (analytic) = 0.25991665466067019562140894506455
y[1] (numeric) = 0.2599166546606702671388066958651
absolute error = 7.151739775080055e-17
relative error = 2.7515511787487755381528114543978e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.668
y[1] (analytic) = 0.26054719482101849857415354788523
y[1] (numeric) = 0.26054719482101857013697295664688
absolute error = 7.156281940876165e-17
relative error = 2.7466355743312203340490535740789e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.669
y[1] (analytic) = 0.26117787254590397492914016145637
y[1] (numeric) = 0.26117787254590404653734493197471
absolute error = 7.160820477051834e-17
relative error = 2.7417408707903714002610993641292e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.67
y[1] (analytic) = 0.26180868716562964020135145441927
y[1] (numeric) = 0.26180868716562971185490522575224
absolute error = 7.165355377133297e-17
relative error = 2.7368669293239433847246545987846e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.671
y[1] (analytic) = 0.26243963800996354241919180508814
y[1] (numeric) = 0.26243963800996361411805815159432
absolute error = 7.169886634650618e-17
relative error = 2.7320136123562297646648913152713e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.672
y[1] (analytic) = 0.26307072440813947177376494941657
y[1] (numeric) = 0.2630707244081395435179073807935
absolute error = 7.174414243137693e-17
relative error = 2.7271807835245824449120933138267e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.673
y[1] (analytic) = 0.26370194568885767120044262898941
y[1] (numeric) = 0.26370194568885774298982459031204
absolute error = 7.178938196132263e-17
relative error = 2.7223683076660735567621940115310e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.674
y[1] (analytic) = 0.26433330118028554789197384211935
y[1] (numeric) = 0.2643333011802856197265587138785
absolute error = 7.183458487175915e-17
relative error = 2.7175760508043283307033460972974e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.675
y[1] (analytic) = 0.26496479021005838574238297159321
y[1] (numeric) = 0.26496479021005845762213406973424
absolute error = 7.187975109814103e-17
relative error = 2.7128038801365385042399246195077e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.676
y[1] (analytic) = 0.26559641210528005872090373387166
y[1] (numeric) = 0.2655964121052801306457843098331
absolute error = 7.192488057596144e-17
relative error = 2.7080516640206365505896454453879e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.677
y[1] (analytic) = 0.266228166192523745175194566597
y[1] (numeric) = 0.26622816619252381714516780734935
absolute error = 7.196997324075235e-17
relative error = 2.7033192719626455652985684746679e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.678
y[1] (analytic) = 0.26686005179783264306307974411145
y[1] (numeric) = 0.26686005179783271507810877219601
absolute error = 7.201502902808456e-17
relative error = 2.6986065746041890099021819911691e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.679
y[1] (analytic) = 0.26749206824672068611205918433219
y[1] (numeric) = 0.26749206824672075817210705789999
absolute error = 7.206004787356780e-17
relative error = 2.6939134437101657415924863233586e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.68
y[1] (analytic) = 0.26812421486417326090582858477263
y[1] (numeric) = 0.26812421486417333301085829762346
absolute error = 7.210502971285083e-17
relative error = 2.6892397521565852087542585425453e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.681
y[1] (analytic) = 0.26875649097464792489705020074311
y[1] (numeric) = 0.2687564909746479970470246823646
absolute error = 7.214997448162149e-17
relative error = 2.6845853739185585289542415742094e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.682
y[1] (analytic) = 0.26938889590207512534561325480988
y[1] (numeric) = 0.26938889590207519754049537041671
absolute error = 7.219488211560683e-17
relative error = 2.6799501840584479244976905056238e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.683
y[1] (analytic) = 0.27002142896985891918162164344152
y[1] (numeric) = 0.27002142896985899142137419401466
absolute error = 7.223975255057314e-17
relative error = 2.6753340587141654601045158104162e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.684
y[1] (analytic) = 0.27065408950087769379234528442722
y[1] (numeric) = 0.27065408950087776607693100675331
absolute error = 7.228458572232609e-17
relative error = 2.6707368750876266025300458163695e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.685
y[1] (analytic) = 0.27128687681748488873237012711488
y[1] (numeric) = 0.27128687681748496106175169382564
absolute error = 7.232938156671076e-17
relative error = 2.6661585114333481651285180778080e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.686
y[1] (analytic) = 0.27191979024150971835618052678887
y[1] (numeric) = 0.27191979024150979073032054640063
absolute error = 7.237414001961176e-17
relative error = 2.6615988470471958369506571084265e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.687
y[1] (analytic) = 0.27255282909425789537240636459073
y[1] (numeric) = 0.27255282909425796779126738154401
absolute error = 7.241886101695328e-17
relative error = 2.6570577622552731875951369227515e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.688
y[1] (analytic) = 0.27318599269651235531896597528174
y[1] (numeric) = 0.27318599269651242778251046998097
absolute error = 7.246354449469923e-17
relative error = 2.6525351384029558996737936327543e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.689
y[1] (analytic) = 0.27381928036853398195833462685648
y[1] (numeric) = 0.27381928036853405446652501570977
absolute error = 7.250819038885329e-17
relative error = 2.6480308578440624911809822480574e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.69
y[1] (analytic) = 0.27445269143006233359216697854263
y[1] (numeric) = 0.27445269143006240614496561400157
absolute error = 7.255279863545894e-17
relative error = 2.6435448039301620572062344887863e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.691
y[1] (analytic) = 0.27508622520031637029450062706579
y[1] (numeric) = 0.27508622520031644289186979766544
absolute error = 7.259736917059965e-17
relative error = 2.6390768610000235463490435511320e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.692
y[1] (analytic) = 0.27571988099799518206276653522224
memory used=221.2MB, alloc=4.6MB, time=28.02
y[1] (numeric) = 0.27571988099799525470466846562111
absolute error = 7.264190193039887e-17
relative error = 2.6346269143691914160366455786266e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.693
y[1] (analytic) = 0.27635365814127871788583082178614
y[1] (numeric) = 0.27635365814127879057222767280631
absolute error = 7.268639685102017e-17
relative error = 2.6301948503196984776547386737820e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.694
y[1] (analytic) = 0.27698755594782851572829107758587
y[1] (numeric) = 0.27698755594782858845914494625318
absolute error = 7.273085386866731e-17
relative error = 2.6257805560899059630787299228180e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.695
y[1] (analytic) = 0.27762157373478843343024905921577
y[1] (numeric) = 0.27762157373478850620552197880007
absolute error = 7.277527291958430e-17
relative error = 2.6213839198644711090356790682577e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.696
y[1] (analytic) = 0.27825571081878538052178029930804
y[1] (numeric) = 0.27825571081878545334143423936355
absolute error = 7.281965394005551e-17
relative error = 2.6170048307644425475229193117058e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.697
y[1] (analytic) = 0.27888996651593005095131986057594
y[1] (numeric) = 0.27888996651593012381531672698168
absolute error = 7.286399686640574e-17
relative error = 2.6126431788374784040267747765088e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.698
y[1] (analytic) = 0.27952434014181765672718214995541
y[1] (numeric) = 0.27952434014181772963548378495573
absolute error = 7.290830163500032e-17
relative error = 2.6082988550481878191103997144071e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.699
y[1] (analytic) = 0.28015883101152866247143139911993
y[1] (numeric) = 0.2801588310115287354239995813651
absolute error = 7.295256818224517e-17
relative error = 2.6039717512685915961524064551176e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.7
y[1] (analytic) = 0.2807934384396295208853181084239
y[1] (numeric) = 0.28079343843962959388211455301076
absolute error = 7.299679644458686e-17
relative error = 2.5996617602687016705468308750551e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.701
y[1] (analytic) = 0.28142816174017340912549544294544
y[1] (numeric) = 0.28142816174017348216648180145824
absolute error = 7.304098635851280e-17
relative error = 2.5953687757072222965878739217558e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.702
y[1] (analytic) = 0.28206300022670096609022826175186
y[1] (numeric) = 0.28206300022670103917536612230302
absolute error = 7.308513786055116e-17
relative error = 2.5910926921223570034585581500265e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.703
y[1] (analytic) = 0.28269795321224103061480615480071
y[1] (numeric) = 0.28269795321224110374405704207182
absolute error = 7.312925088727111e-17
relative error = 2.5868334049227406754883341862079e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.704
y[1] (analytic) = 0.28333302000931138057537055602046
y[1] (numeric) = 0.28333302000931145374869593130326
absolute error = 7.317332537528280e-17
relative error = 2.5825908103784744682921580049676e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.705
y[1] (analytic) = 0.28396819992991947290036469608622
y[1] (numeric) = 0.2839681999299195461177259573237
absolute error = 7.321736126123748e-17
relative error = 2.5783648056122761796301734959964e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.706
y[1] (analytic) = 0.28460349228556318448881385422153
y[1] (numeric) = 0.28460349228556325775017233604912
absolute error = 7.326135848182759e-17
relative error = 2.5741552885907384383790592795837e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.707
y[1] (analytic) = 0.28523889638723155403464206501762
y[1] (numeric) = 0.28523889638723162733995903880444
absolute error = 7.330531697378682e-17
relative error = 2.5699621581156931686576070128222e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.708
y[1] (analytic) = 0.2858744115454055247562301337687
y[1] (numeric) = 0.28587441154540559810546680765889
absolute error = 7.334923667389019e-17
relative error = 2.5657853138156825603622460726622e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.709
y[1] (analytic) = 0.28651003707005868803041851217747
y[1] (numeric) = 0.28651003707005876142353603113166
absolute error = 7.339311751895419e-17
relative error = 2.5616246561375364220298929350372e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.71
y[1] (analytic) = 0.28714577227065802793015728549104
y[1] (numeric) = 0.28714577227065810136711673132781
absolute error = 7.343695944583677e-17
relative error = 2.5574800863380470855795703165650e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.711
y[1] (analytic) = 0.28778161645616466666500422218476
y[1] (numeric) = 0.28778161645616474014576661362226
absolute error = 7.348076239143750e-17
relative error = 2.5533515064757516031527962520047e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.712
y[1] (analytic) = 0.28841756893503461092367053822319
y[1] (numeric) = 0.28841756893503468444819683092081
absolute error = 7.352452629269762e-17
relative error = 2.5492388194028099992444854367370e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.713
y[1] (analytic) = 0.28905362901521949911781272969353
y[1] (numeric) = 0.28905362901521957268606381629365
absolute error = 7.356825108660012e-17
relative error = 2.5451419287569830671822318026725e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.714
y[1] (analytic) = 0.28968979600416734952626753023044
y[1] (numeric) = 0.28968979600416742313820424040027
absolute error = 7.361193671016983e-17
relative error = 2.5410607389537076125846843645114e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.715
y[1] (analytic) = 0.2903260692088233093389257531334
y[1] (numeric) = 0.29032606920882338299450885360689
absolute error = 7.365558310047349e-17
relative error = 2.5369951551782667367664212802028e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.716
y[1] (analytic) = 0.29096244793563040459943948241988
y[1] (numeric) = 0.29096244793563047829862967703974
absolute error = 7.369919019461986e-17
relative error = 2.5329450833780558864038856412671e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.717
y[1] (analytic) = 0.29159893149053029104595578226241
y[1] (numeric) = 0.29159893149053036478871371202219
absolute error = 7.374275792975978e-17
relative error = 2.5289104302549402371365034400482e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.718
y[1] (analytic) = 0.29223551917896400584906880032551
y[1] (numeric) = 0.29223551917896407963535504341176
absolute error = 7.378628624308625e-17
relative error = 2.5248911032577045291620639391167e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.719
y[1] (analytic) = 0.29287221030587272024618084745219
y[1] (numeric) = 0.29287221030587279407595591928672
memory used=225.0MB, alloc=4.6MB, time=28.50
absolute error = 7.382977507183453e-17
relative error = 2.5208870105745940614928471735876e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.72
y[1] (analytic) = 0.29350900417569849307146174395039
y[1] (numeric) = 0.29350900417569856694468609723257
absolute error = 7.387322435328218e-17
relative error = 2.5168980611259428465291239714993e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.721
y[1] (analytic) = 0.29414590009238502518059443139908
y[1] (numeric) = 0.29414590009238509909722845614831
absolute error = 7.391663402474923e-17
relative error = 2.5129241645568941731993786323027e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.722
y[1] (analytic) = 0.29478289735937841476949355843402
y[1] (numeric) = 0.29478289735937848872949758203216
absolute error = 7.396000402359814e-17
relative error = 2.5089652312302007551296797247818e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.723
y[1] (analytic) = 0.29541999527962791358618245938461
y[1] (numeric) = 0.29541999527962798758951674661861
absolute error = 7.400333428723400e-17
relative error = 2.5050211722191186013768459215348e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.724
y[1] (analytic) = 0.29605719315558668403501265592011
y[1] (numeric) = 0.29605719315558675808163740902462
absolute error = 7.404662475310451e-17
relative error = 2.5010918993003777649172754046696e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.725
y[1] (analytic) = 0.29669449028921255717240872402405
y[1] (numeric) = 0.29669449028921263126228408272421
absolute error = 7.408987535870016e-17
relative error = 2.4971773249472430719527443357781e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.726
y[1] (analytic) = 0.29733188598196879159332008165512
y[1] (numeric) = 0.29733188598196886572640612320933
absolute error = 7.413308604155421e-17
relative error = 2.4932773623226501302174395844302e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.727
y[1] (analytic) = 0.29796937953482483320755996636974
y[1] (numeric) = 0.29796937953482490738381670561261
absolute error = 7.417625673924287e-17
relative error = 2.4893919252724290128413717619357e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.728
y[1] (analytic) = 0.29860697024825707590521058698024
y[1] (numeric) = 0.29860697024825715012459797636555
absolute error = 7.421938738938531e-17
relative error = 2.4855209283186020146630178701981e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.729
y[1] (analytic) = 0.29924465742224962311027214900253
y[1] (numeric) = 0.29924465742224969737275007864631
absolute error = 7.426247792964378e-17
relative error = 2.4816642866527638295464974235912e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.73
y[1] (analytic) = 0.29988244035629505022173217021171
y[1] (numeric) = 0.29988244035629512452726046793537
absolute error = 7.430552829772366e-17
relative error = 2.4778219161295370144117740675705e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.731
y[1] (analytic) = 0.30052031834939516794123022007399
y[1] (numeric) = 0.30052031834939524228976865144755
absolute error = 7.434853843137356e-17
relative error = 2.4739937332601057080008621769704e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.732
y[1] (analytic) = 0.30115829070006178648649193516047
y[1] (numeric) = 0.3011582907000618608780002035459
absolute error = 7.439150826838543e-17
relative error = 2.4701796552058252078467550295091e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.733
y[1] (analytic) = 0.30179635670631748068970488187464
y[1] (numeric) = 0.30179635670631755512414262846923
absolute error = 7.443443774659459e-17
relative error = 2.4663795997719033912544211480374e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.734
y[1] (analytic) = 0.30243451566569635598000755794222
y[1] (numeric) = 0.30243451566569643045733436182204
absolute error = 7.447732680387982e-17
relative error = 2.4625934854011576374090219833672e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.735
y[1] (analytic) = 0.30307276687524481524926154512114
y[1] (numeric) = 0.30307276687524488976943692328463
absolute error = 7.452017537816349e-17
relative error = 2.4588212311678455654954401109792e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.736
y[1] (analytic) = 0.30371110963152232660027554749274
y[1] (numeric) = 0.30371110963152240116325895490433
absolute error = 7.456298340741159e-17
relative error = 2.4550627567715639795511580201235e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.737
y[1] (analytic) = 0.30434954323060219197664877249399
y[1] (numeric) = 0.3043495432306022665823996021278
absolute error = 7.460575082963381e-17
relative error = 2.4513179825312200320817443647921e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.738
y[1] (analytic) = 0.30498806696807231667339983554662
y[1] (numeric) = 0.3049880669680723913218774184303
absolute error = 7.464847758288368e-17
relative error = 2.4475868293790739596469930779498e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.739
y[1] (analytic) = 0.30562668013903597972754609373463
y[1] (numeric) = 0.30562668013903605441870969899318
absolute error = 7.469116360525855e-17
relative error = 2.4438692188548452276173134855524e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.74
y[1] (analytic) = 0.30626538203811260518779703947673
y[1] (numeric) = 0.30626538203811267992160587437654
absolute error = 7.473380883489981e-17
relative error = 2.4401650730998943000874053288737e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.741
y[1] (analytic) = 0.30690417195943853426252411153959
y[1] (numeric) = 0.30690417195943860903893732153241
absolute error = 7.477641320999282e-17
relative error = 2.4364743148514617437070474420669e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.742
y[1] (analytic) = 0.30754304919666779834516800803868
y[1] (numeric) = 0.30754304919666787316414467680577
absolute error = 7.481897666876709e-17
relative error = 2.4327968674369814687638975123624e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.743
y[1] (analytic) = 0.30818201304297289291624331428257
y[1] (numeric) = 0.30818201304297296777774246377894
absolute error = 7.486149914949637e-17
relative error = 2.4291326547684560764657128045375e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.744
y[1] (analytic) = 0.30882106279104555232109898743113
y[1] (numeric) = 0.30882106279104562722507957792975
absolute error = 7.490398059049862e-17
relative error = 2.4254816013368925174727695040728e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.745
y[1] (analytic) = 0.30946019773309752542259196996232
y[1] (numeric) = 0.30946019773309760036901290009854
absolute error = 7.494642093013622e-17
relative error = 2.4218436322068088978458397264132e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.746
y[1] (analytic) = 0.31009941716086135212782993487774
y[1] (numeric) = 0.31009941716086142711665004169372
absolute error = 7.498882010681598e-17
relative error = 2.4182186730107972905950884188403e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=228.8MB, alloc=4.6MB, time=28.98
NO POLE
x[1] = 1.747
y[1] (analytic) = 0.31073872036559114078813789742375
y[1] (numeric) = 0.31073872036559121581931595641302
absolute error = 7.503117805898927e-17
relative error = 2.4146066499441521169048179224493e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.748
y[1] (analytic) = 0.31137810663806334647140216086677
y[1] (numeric) = 0.31137810663806342154489688601877
absolute error = 7.507349472515200e-17
relative error = 2.4110074897595545549255917969904e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.749
y[1] (analytic) = 0.31201757526857755010594379753783
y[1] (numeric) = 0.31201757526857762522171384138265
absolute error = 7.511577004384482e-17
relative error = 2.4074211197618241010336080065782e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.75
y[1] (analytic) = 0.31265712554695723849507260095631
y[1] (numeric) = 0.31265712554695731365307655460946
absolute error = 7.515800395365315e-17
relative error = 2.4038474678027239176054253648071e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.751
y[1] (analytic) = 0.31329675676255058520147118035557
y[1] (numeric) = 0.31329675676255066040166757356281
absolute error = 7.520019639320724e-17
relative error = 2.4002864622758256505547736091632e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.752
y[1] (analytic) = 0.31393646820423123230055760536729
y[1] (numeric) = 0.31393646820423130754290490654954
absolute error = 7.524234730118225e-17
relative error = 2.3967380321114326169977446255828e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.753
y[1] (analytic) = 0.31457625916039907300197374597745
y[1] (numeric) = 0.31457625916039914828643036227587
absolute error = 7.528445661629842e-17
relative error = 2.3932021067715628233962523132889e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.754
y[1] (analytic) = 0.31521612891898103513834519114737
y[1] (numeric) = 0.31521612891898111046486946846838
absolute error = 7.532652427732101e-17
relative error = 2.3896786162449808773592292676852e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.755
y[1] (analytic) = 0.31585607676743186552045736869836
y[1] (numeric) = 0.31585607676743194088900759175886
absolute error = 7.536855022306050e-17
relative error = 2.3861674910422936771529553093142e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.756
y[1] (analytic) = 0.31649610199273491515799122919235
y[1] (numeric) = 0.31649610199273499056852562156492
absolute error = 7.541053439237257e-17
relative error = 2.3826686621910938731915688254955e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.757
y[1] (analytic) = 0.31713620388140292534496059760203
y[1] (numeric) = 0.31713620388140300079743732176033
absolute error = 7.545247672415830e-17
relative error = 2.3791820612311643628482193935565e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.758
y[1] (analytic) = 0.31777638171947881460899203855742
y[1] (numeric) = 0.31777638171947889010336919592154
absolute error = 7.549437715736412e-17
relative error = 2.3757076202097282288388679081998e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.759
y[1] (analytic) = 0.31841663479253646652358682387959
y[1] (numeric) = 0.31841663479253654205982245486159
absolute error = 7.553623563098200e-17
relative error = 2.3722452716767589304333115200252e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.76
y[1] (analytic) = 0.31905696238568151838250333497186
y[1] (numeric) = 0.31905696238568159396055541902132
absolute error = 7.557805208404946e-17
relative error = 2.3687949486803367965879510875741e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.761
y[1] (analytic) = 0.31969736378355215073539697743212
y[1] (numeric) = 0.31969736378355222635522343308178
absolute error = 7.561982645564966e-17
relative error = 2.3653565847620593628529712483920e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.762
y[1] (analytic) = 0.32033783827031987778385343098173
y[1] (numeric) = 0.32033783827031995344541211589324
absolute error = 7.566155868491151e-17
relative error = 2.3619301139525029829987064663679e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.763
y[1] (analytic) = 0.32097838512969033863694980447646
y[1] (numeric) = 0.32097838512969041434019851548619
absolute error = 7.570324871100973e-17
relative error = 2.3585154707667328749123631061242e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.764
y[1] (analytic) = 0.32161900364490408942547701337551
y[1] (numeric) = 0.32161900364490416517037348654045
absolute error = 7.574489647316494e-17
relative error = 2.3551125901998634686479655892283e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.765
y[1] (analytic) = 0.32225969309873739627395544559739
y[1] (numeric) = 0.32225969309873747206045735624114
absolute error = 7.578650191064375e-17
relative error = 2.3517214077226674806015614140672e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.766
y[1] (analytic) = 0.32290045277350302912957473118795
y[1] (numeric) = 0.32290045277350310495763969394669
absolute error = 7.582806496275874e-17
relative error = 2.3483418592772296844517434221325e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.767
y[1] (analytic) = 0.32354128195105105644718718166742
y[1] (numeric) = 0.32354128195105113231677275053613
absolute error = 7.586958556886871e-17
relative error = 2.3449738812726565574628453549629e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.768
y[1] (analytic) = 0.32418217991276964072948321631286
y[1] (numeric) = 0.3241821799127697166405468846915
absolute error = 7.591106366837864e-17
relative error = 2.3416174105808238071539356967429e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.769
y[1] (analytic) = 0.32482314593958583492147584496933
y[1] (numeric) = 0.32482314593958591087397504570915
absolute error = 7.595249920073982e-17
relative error = 2.3382723845321754683013911815812e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.77
y[1] (analytic) = 0.32546417931196637965842003027136
y[1] (numeric) = 0.32546417931196645565231213572121
absolute error = 7.599389210544985e-17
relative error = 2.3349387409115646925729100502978e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.771
y[1] (analytic) = 0.32610527930991850136629150639599
y[1] (numeric) = 0.32610527930991857740153382844885
absolute error = 7.603524232205286e-17
relative error = 2.3316164179541464398882367020661e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.772
y[1] (analytic) = 0.32674644521299071121394838666243
y[1] (numeric) = 0.32674644521299078729049817680189
absolute error = 7.607654979013946e-17
relative error = 2.3283053543413064116293630570315e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.773
y[1] (analytic) = 0.32738767630027360491609764844159
y[1] (numeric) = 0.32738767630027368103391209778847
absolute error = 7.611781444934688e-17
relative error = 2.3250054891966398280343632509837e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=232.7MB, alloc=4.6MB, time=29.47
NO POLE
x[1] = 1.774
y[1] (analytic) = 0.32802897185040066338618734094476
y[1] (numeric) = 0.3280289718504007395452235803038
absolute error = 7.615903623935904e-17
relative error = 2.3217167620819714894348784890167e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.775
y[1] (analytic) = 0.32867033114154905423834411952443
y[1] (numeric) = 0.3286703311415491304385592194311
absolute error = 7.620021509990667e-17
relative error = 2.3184391129934202556500176632338e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.776
y[1] (analytic) = 0.32931175345144043413747446914495
y[1] (numeric) = 0.32931175345144051037882543991221
absolute error = 7.624135097076726e-17
relative error = 2.3151724823575007037826415844258e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.777
y[1] (analytic) = 0.32995323805734175199664673966582
y[1] (numeric) = 0.32995323805734182827909053143112
absolute error = 7.628244379176530e-17
relative error = 2.3119168110272754455744894526615e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.778
y[1] (analytic) = 0.33059478423606605302086987653102
y[1] (numeric) = 0.33059478423606612934436337930327
absolute error = 7.632349350277225e-17
relative error = 2.3086720402785405220785522675431e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.779
y[1] (analytic) = 0.33123639126397328359638349237105
y[1] (numeric) = 0.33123639126397335996088353607773
absolute error = 7.636450004370668e-17
relative error = 2.3054381118060567550934006719976e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.78
y[1] (analytic) = 0.33187805841697109702457268790621
y[1] (numeric) = 0.33187805841697117343003604244051
absolute error = 7.640546335453430e-17
relative error = 2.3022149677198180402859783915175e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.781
y[1] (analytic) = 0.3325197849705156600996197943887
y[1] (numeric) = 0.3325197849705157365460031696568
absolute error = 7.644638337526810e-17
relative error = 2.2990025505413627421658610833317e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.782
y[1] (analytic) = 0.33316157019961246052900397464052
y[1] (numeric) = 0.33316157019961253701626402060886
absolute error = 7.648726004596834e-17
relative error = 2.2958008032001198481228205730499e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.783
y[1] (analytic) = 0.3338034133788171151959583855349
y[1] (numeric) = 0.33380341337881719172405169227762
absolute error = 7.652809330674272e-17
relative error = 2.2926096690297993415297119056360e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.784
y[1] (analytic) = 0.33444531378223617926299337153327
y[1] (numeric) = 0.33444531378223625583187646927968
absolute error = 7.656888309774641e-17
relative error = 2.2894290917648166729259703017734e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.785
y[1] (analytic) = 0.33508727068352795611559292662831
y[1] (numeric) = 0.33508727068352803272522228581044
absolute error = 7.660962935918213e-17
relative error = 2.2862590155367565827233996669145e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.786
y[1] (analytic) = 0.33572928335590330814519043075898
y[1] (numeric) = 0.33572928335590338479552246205925
absolute error = 7.665033203130027e-17
relative error = 2.2830993848708754907751257337360e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.787
y[1] (analytic) = 0.33637135107212646837052843645697
y[1] (numeric) = 0.33637135107212654506151949085587
absolute error = 7.669099105439890e-17
relative error = 2.2799501446826375174952578307707e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.788
y[1] (analytic) = 0.33701347310451585289650605215639
y[1] (numeric) = 0.33701347310451592962811242098029
absolute error = 7.673160636882390e-17
relative error = 2.2768112402742905513999458199740e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.789
y[1] (analytic) = 0.33765564872494487420961624025343
y[1] (numeric) = 0.33765564872494495098179415522246
absolute error = 7.677217791496903e-17
relative error = 2.2736826173314765372621331768333e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.79
y[1] (analytic) = 0.33829787720484275530907412063943
y[1] (numeric) = 0.33829787720484283212177975391542
absolute error = 7.681270563327599e-17
relative error = 2.2705642219198770457425257695117e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.791
y[1] (analytic) = 0.33894015781519534467273614405256
y[1] (numeric) = 0.33894015781519542152592560828707
absolute error = 7.685318946423451e-17
relative error = 2.2674560004818948737222008664826e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.792
y[1] (analytic) = 0.33958248982654593205690877420123
y[1] (numeric) = 0.33958248982654600895053812258367
absolute error = 7.689362934838244e-17
relative error = 2.2643578998333703513546083520403e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.793
y[1] (analytic) = 0.34022487250899606512914409320785
y[1] (numeric) = 0.34022487250899614206316931951368
absolute error = 7.693402522630583e-17
relative error = 2.2612698671603316391880039418918e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.794
y[1] (analytic) = 0.34086730513220636693311852150651
y[1] (numeric) = 0.34086730513220644390749556014548
absolute error = 7.697437703863897e-17
relative error = 2.2581918500157777222765214877657e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.795
y[1] (analytic) = 0.34150978696539735418468962090394
y[1] (numeric) = 0.34150978696539743119937434696847
absolute error = 7.701468472606453e-17
relative error = 2.2551237963164978050647137631674e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.796
y[1] (analytic) = 0.34215231727735025639822472808202
y[1] (numeric) = 0.34215231727735033345317295739557
absolute error = 7.705494822931355e-17
relative error = 2.2520656543399193562766012854297e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.797
y[1] (analytic) = 0.34279489533640783584229394538225
y[1] (numeric) = 0.34279489533640791293746143454787
absolute error = 7.709516748916562e-17
relative error = 2.2490173727209943802436395833511e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.798
y[1] (analytic) = 0.3434375204104752083238187962718
y[1] (numeric) = 0.34343752041047528545916124272068
absolute error = 7.713534244644888e-17
relative error = 2.2459789004491126739654100627774e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.799
y[1] (analytic) = 0.34408019176702066479976663444615
y[1] (numeric) = 0.34408019176702074197523967648632
absolute error = 7.717547304204017e-17
relative error = 2.2429501868650513407730801917240e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8
y[1] (analytic) = 0.34472290867307649381547967807885
y[1] (numeric) = 0.34472290867307657103103889494384
absolute error = 7.721555921686499e-17
relative error = 2.2399311816579502568529694481800e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=236.5MB, alloc=4.6MB, time=29.97
NO POLE
x[1] = 1.801
y[1] (analytic) = 0.34536567039523980476872632428406
y[1] (numeric) = 0.34536567039523988202432723618179
absolute error = 7.725560091189773e-17
relative error = 2.2369218348623265036913281099206e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.802
y[1] (analytic) = 0.34600847619967335199856118341609
y[1] (numeric) = 0.34600847619967342929415925157772
absolute error = 7.729559806816163e-17
relative error = 2.2339220968551116846550469929837e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.803
y[1] (analytic) = 0.34665132535210635969807905839134
y[1] (numeric) = 0.34665132535210643703362968512026
absolute error = 7.733555062672892e-17
relative error = 2.2309319183527248410043432708825e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.804
y[1] (analytic) = 0.34729421711783534765014688078559
y[1] (numeric) = 0.34729421711783542502560540950647
absolute error = 7.737545852872088e-17
relative error = 2.2279512504081730501736902834795e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.805
y[1] (analytic) = 0.34793715076172495778519640303393
y[1] (numeric) = 0.34793715076172503520051811834179
absolute error = 7.741532171530786e-17
relative error = 2.2249800444081805280070675671281e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.806
y[1] (analytic) = 0.34858012554820878156015923464316
y[1] (numeric) = 0.34858012554820885901529936235266
absolute error = 7.745514012770950e-17
relative error = 2.2220182520703527816684245318884e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.807
y[1] (analytic) = 0.34922314074129018815762459992048
y[1] (numeric) = 0.34922314074129026565253830711516
absolute error = 7.749491370719468e-17
relative error = 2.2190658254403619322739024610580e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.808
y[1] (analytic) = 0.3498661956045431535042989853266
y[1] (numeric) = 0.34986619560454323103894138040821
absolute error = 7.753464239508161e-17
relative error = 2.2161227168891646824561303896345e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.809
y[1] (analytic) = 0.35050928940111309010784563618034
y[1] (numeric) = 0.3505092894011131676821717689183
absolute error = 7.757432613273796e-17
relative error = 2.2131888791102496850169598087782e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.81
y[1] (analytic) = 0.35115242139371767771118065507547
y[1] (numeric) = 0.35115242139371775532514551665641
absolute error = 7.761396486158094e-17
relative error = 2.2102642651169114007337580677894e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.811
y[1] (analytic) = 0.35179559084464769476330124802071
y[1] (numeric) = 0.35179559084464777241685977109805
absolute error = 7.765355852307734e-17
relative error = 2.2073488282395504181533075622061e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.812
y[1] (analytic) = 0.35243879701576785070572045898232
y[1] (numeric) = 0.35243879701576792839882751772589
absolute error = 7.769310705874357e-17
relative error = 2.2044425221230010594486924469669e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.813
y[1] (analytic) = 0.353082039168517619073581529197
y[1] (numeric) = 0.35308203916851769680619193934282
absolute error = 7.773261041014582e-17
relative error = 2.2015453007238893498045595021834e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.814
y[1] (analytic) = 0.35372531656391207141052381433298
y[1] (numeric) = 0.35372531656391214918259233323313
absolute error = 7.777206851890015e-17
relative error = 2.1986571183080156188013237646899e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.815
y[1] (analytic) = 0.35436862846254271199637099030983
y[1] (numeric) = 0.35436862846254278980785231698226
absolute error = 7.781148132667243e-17
relative error = 2.1957779294477591892571745985976e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.816
y[1] (analytic) = 0.35501197412457831338671107734462
y[1] (numeric) = 0.3550119741245783912375598525232
absolute error = 7.785084877517858e-17
relative error = 2.1929076890195175746077741635370e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.817
y[1] (analytic) = 0.35565535280976575276343661157669
y[1] (numeric) = 0.35565535280976583065360741776124
absolute error = 7.789017080618455e-17
relative error = 2.1900463522011640275358656479510e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.818
y[1] (analytic) = 0.35629876377743084909531209443377
y[1] (numeric) = 0.35629876377743092702475945594015
absolute error = 7.792944736150638e-17
relative error = 2.1871938744695327753217197690353e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.819
y[1] (analytic) = 0.3569422062864792011076346517436
y[1] (numeric) = 0.35694220628647927907631303475402
absolute error = 7.796867838301042e-17
relative error = 2.1843502115979338583516548353970e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.82
y[1] (analytic) = 0.35758567959539702606005263746731
y[1] (numeric) = 0.35758567959539710406791645008051
absolute error = 7.800786381261320e-17
relative error = 2.1815153196536829607590410985017e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.821
y[1] (analytic) = 0.35822918296225199933160572083436
y[1] (numeric) = 0.35822918296225207737860931311604
absolute error = 7.804700359228168e-17
relative error = 2.1786891549956664465245417604705e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.822
y[1] (analytic) = 0.35887271564469409481204880059847
y[1] (numeric) = 0.3588727156446941728981464646317
absolute error = 7.808609766403323e-17
relative error = 2.1758716742719230703512398906490e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.823
y[1] (analytic) = 0.35951627689995642609852089610736
y[1] (numeric) = 0.3595162768999565042236668660431
absolute error = 7.812514596993574e-17
relative error = 2.1730628344172533035759605677288e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.824
y[1] (analytic) = 0.36015986598485608849661897189134
y[1] (numeric) = 0.36015986598485616666076742399906
absolute error = 7.816414845210772e-17
relative error = 2.1702625926508520653497876770816e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.825
y[1] (analytic) = 0.36080348215579500182493546052595
y[1] (numeric) = 0.36080348215579508002804051324427
absolute error = 7.820310505271832e-17
relative error = 2.1674709064739626492030209181428e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.826
y[1] (analytic) = 0.36144712466876075402211705761492
y[1] (numeric) = 0.36144712466876083226413277160235
absolute error = 7.824201571398743e-17
relative error = 2.1646877336675560296063042432160e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.827
y[1] (analytic) = 0.36209079277932744555550117287262
y[1] (numeric) = 0.36209079277932752383638155105841
absolute error = 7.828088037818579e-17
relative error = 2.1619130322900333213451630872334e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=240.3MB, alloc=4.6MB, time=30.46
x[1] = 1.828
y[1] (analytic) = 0.36273448574265653463038523246212
y[1] (numeric) = 0.36273448574265661295008422009714
absolute error = 7.831969898763502e-17
relative error = 2.1591467606749486444850174816184e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.829
y[1] (analytic) = 0.36337820281349768319898283996629
y[1] (numeric) = 0.36337820281349776155745432467401
absolute error = 7.835847148470772e-17
relative error = 2.1563888774287562910437081659669e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.83
y[1] (analytic) = 0.3640219432461896037681196166385
y[1] (numeric) = 0.36402194324618968216531742846609
absolute error = 7.839719781182759e-17
relative error = 2.1536393414285805399216378522200e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.831
y[1] (analytic) = 0.36466570629466090700472035589622
y[1] (numeric) = 0.36466570629466098544059826736558
absolute error = 7.843587791146936e-17
relative error = 2.1508981118200021021345444401587e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.832
y[1] (analytic) = 0.36530949121243095013813794238737
y[1] (numeric) = 0.36530949121243102861264966854645
absolute error = 7.847451172615908e-17
relative error = 2.1481651480148760672455842365391e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.833
y[1] (analytic) = 0.36595329725261068615837330237852
y[1] (numeric) = 0.3659532972526107646714725008525
absolute error = 7.851309919847398e-17
relative error = 2.1454404096891593956496583102592e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.834
y[1] (analytic) = 0.36659712366790351380923446968436
y[1] (numeric) = 0.36659712366790359236087474072705
absolute error = 7.855164027104269e-17
relative error = 2.1427238567807694086384012271844e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.835
y[1] (analytic) = 0.36724096971060612837548166988487
y[1] (numeric) = 0.36724096971060620696561655643019
absolute error = 7.859013488654532e-17
relative error = 2.1400154494874593002612417884422e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.836
y[1] (analytic) = 0.36788483463260937326300414515851
y[1] (numeric) = 0.36788483463260945189158713287193
absolute error = 7.862858298771342e-17
relative error = 2.1373151482647110252735680231162e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.837
y[1] (analytic) = 0.36852871768539909237107326269956
y[1] (numeric) = 0.3685287176853991710380577800297
absolute error = 7.866698451733014e-17
relative error = 2.1346229138236540527471886942780e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.838
y[1] (analytic) = 0.36917261812005698325571527138756
y[1] (numeric) = 0.3691726181200570619610546896179
absolute error = 7.870533941823034e-17
relative error = 2.1319387071290029162888836815005e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.839
y[1] (analytic) = 0.36981653518726145108324589413698
y[1] (numeric) = 0.36981653518726152982689352743753
absolute error = 7.874364763330055e-17
relative error = 2.1292624893970106460988590236153e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.84
y[1] (analytic) = 0.37046046813728846337300776717753
y[1] (numeric) = 0.3704604681372885421549168726567
absolute error = 7.878190910547917e-17
relative error = 2.1265942220934484351806024806096e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.841
y[1] (analytic) = 0.37110441622001240552835056240303
y[1] (numeric) = 0.3711044162200124843484743401595
absolute error = 7.882012377775647e-17
relative error = 2.1239338669315993824046739348973e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.842
y[1] (analytic) = 0.37174837868490693715489245487847
y[1] (numeric) = 0.37174837868490701601318404805313
absolute error = 7.885829159317466e-17
relative error = 2.1212813858702734223090691457660e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.843
y[1] (analytic) = 0.37239235478104584916510042461462
y[1] (numeric) = 0.37239235478104592806151291944266
absolute error = 7.889641249482804e-17
relative error = 2.1186367411118434710555823781296e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.844
y[1] (analytic) = 0.37303634375710392166822570980793
y[1] (numeric) = 0.37303634375710400060271213567092
absolute error = 7.893448642586299e-17
relative error = 2.1159998951002961155718052671951e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.845
y[1] (analytic) = 0.37368034486135778264462955790152
y[1] (numeric) = 0.37368034486135786161714288737961
absolute error = 7.897251332947809e-17
relative error = 2.1133708105193044479353411248108e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.846
y[1] (analytic) = 0.37432435734168676740353325105362
y[1] (numeric) = 0.37432435734168684641402639997783
absolute error = 7.901049314892421e-17
relative error = 2.1107494502903185205538635720583e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.847
y[1] (analytic) = 0.37496838044557377882322521390347
y[1] (numeric) = 0.37496838044557385787165104140801
absolute error = 7.904842582750454e-17
relative error = 2.1081357775706724266067376093105e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.848
y[1] (analytic) = 0.375612413420106148372756843903
y[1] (numeric) = 0.3756124134201062274590681524777
absolute error = 7.908631130857470e-17
relative error = 2.1055297557517115496045041248162e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.849
y[1] (analytic) = 0.37625645551197649791415753793801
y[1] (numeric) = 0.37625645551197657703830707348081
absolute error = 7.912414953554280e-17
relative error = 2.1029313484569363012340103326175e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.85
y[1] (analytic) = 0.37690050596748360228419822349535
y[1] (numeric) = 0.37690050596748368144613867536485
absolute error = 7.916194045186950e-17
relative error = 2.1003405195401634925689956190211e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.851
y[1] (analytic) = 0.37754456403253325265473153824538
y[1] (numeric) = 0.37754456403253333185441553931354
absolute error = 7.919968400106816e-17
relative error = 2.0977572330837075273789326386255e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.852
y[1] (analytic) = 0.37818862895263912067063563860305
y[1] (numeric) = 0.37818862895263919990801576530783
absolute error = 7.923738012670478e-17
relative error = 2.0951814533965732639397715650958e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.853
y[1] (analytic) = 0.37883269997292362336438745560664
y[1] (numeric) = 0.37883269997292370263941622800489
absolute error = 7.927502877239825e-17
relative error = 2.0926131450126741478942996618992e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.854
y[1] (analytic) = 0.37947677633811878884629005531502
y[1] (numeric) = 0.37947677633811886815891993713528
absolute error = 7.931262988182026e-17
relative error = 2.0900522726890582018988684736986e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=244.1MB, alloc=4.6MB, time=30.94
x[1] = 1.855
y[1] (analytic) = 0.38012085729256712276937760086966
y[1] (numeric) = 0.3801208572925672021195609995651
absolute error = 7.935018339869544e-17
relative error = 2.0874988014041567887148625202808e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.856
y[1] (analytic) = 0.38076494208022247556802025440202
y[1] (numeric) = 0.38076494208022255495570952120353
absolute error = 7.938768926680151e-17
relative error = 2.0849526963560501146560357901278e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.857
y[1] (analytic) = 0.38140902994465091046925019908975
y[1] (numeric) = 0.38140902994465098989439762905896
absolute error = 7.942514742996921e-17
relative error = 2.0824139229607432594399616002721e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.858
y[1] (analytic) = 0.38205312012903157227582880487737
y[1] (numeric) = 0.38205312012903165173838663695988
absolute error = 7.946255783208251e-17
relative error = 2.0798824468504657094123101807996e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.859
y[1] (analytic) = 0.38269721187615755692007380568308
y[1] (numeric) = 0.38269721187615763641999422276164
absolute error = 7.949992041707856e-17
relative error = 2.0773582338719800206825303260240e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.86
y[1] (analytic) = 0.38334130442843678178746420131093
y[1] (numeric) = 0.38334130442843686132469933025883
absolute error = 7.953723512894790e-17
relative error = 2.0748412500849130833387592745927e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.861
y[1] (analytic) = 0.38398539702789285680903944378184
y[1] (numeric) = 0.38398539702789293638354135551624
absolute error = 7.957450191173440e-17
relative error = 2.0723314617600959321800934124157e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.862
y[1] (analytic) = 0.38462948891616595632160831538628
y[1] (numeric) = 0.38462948891616603593332902492175
absolute error = 7.961172070953547e-17
relative error = 2.0698288353779260565012674958098e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.863
y[1] (analytic) = 0.38527357933451369169478175445024
y[1] (numeric) = 0.38527357933451377134367322095222
absolute error = 7.964889146650198e-17
relative error = 2.0673333376267374235563280107733e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.864
y[1] (analytic) = 0.38591766752381198472384273459316
y[1] (numeric) = 0.38591766752381206440985686143165
absolute error = 7.968601412683849e-17
relative error = 2.0648449354011936858037802527429e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.865
y[1] (analytic) = 0.38656175272455594178746515414624
y[1] (numeric) = 0.38656175272455602151055378894944
absolute error = 7.972308863480320e-17
relative error = 2.0623635958006890514518586644964e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.866
y[1] (analytic) = 0.38720583417686072876929254439034
y[1] (numeric) = 0.38720583417686080852940747909845
absolute error = 7.976011493470811e-17
relative error = 2.0598892861277693963448519049398e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.867
y[1] (analytic) = 0.38784991112046244674238625836914
y[1] (numeric) = 0.38784991112046252653947922928817
absolute error = 7.979709297091903e-17
relative error = 2.0574219738865641122812441728746e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.868
y[1] (analytic) = 0.3884939827947190084155516562345
y[1] (numeric) = 0.38849398279471908824957434409023
absolute error = 7.983402268785573e-17
relative error = 2.0549616267812360440435526503383e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.869
y[1] (analytic) = 0.38913804843861101534054965839003
y[1] (numeric) = 0.38913804843861109521145368838198
absolute error = 7.987090402999195e-17
relative error = 2.0525082127144421221604669840915e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.87
y[1] (analytic) = 0.3897821072907426358791998941164
y[1] (numeric) = 0.38978210729074271578693683597185
absolute error = 7.990773694185545e-17
relative error = 2.0500616997858091974685766397609e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.871
y[1] (analytic) = 0.39042615858934248392938053088995
y[1] (numeric) = 0.39042615858934256387390189891816
absolute error = 7.994452136802821e-17
relative error = 2.0476220562904277310159466265420e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.872
y[1] (analytic) = 0.39107020157226449840892872824647
y[1] (numeric) = 0.39107020157226457839018598139282
absolute error = 7.998125725314635e-17
relative error = 2.0451892507173521494850529226759e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.873
y[1] (analytic) = 0.39171423547698882349644451979451
y[1] (numeric) = 0.3917142354769889035143890616948
absolute error = 8.001794454190029e-17
relative error = 2.0427632517481210757298427361420e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.874
y[1] (analytic) = 0.39235825954062268962799978785151
y[1] (numeric) = 0.39235825954062276968258296688637
absolute error = 8.005458317903486e-17
relative error = 2.0403440282552898260214719193499e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.875
y[1] (analytic) = 0.39300227299990129524875285716048
y[1] (numeric) = 0.39300227299990137533992596650971
absolute error = 8.009117310934923e-17
relative error = 2.0379315493009717364322532985175e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.876
y[1] (analytic) = 0.39364627509118868931846809724688
y[1] (numeric) = 0.39364627509118876944618237494406
absolute error = 8.012771427769718e-17
relative error = 2.0355257841354014379298920611300e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.877
y[1] (analytic) = 0.39429026505047865456993878719867
y[1] (numeric) = 0.39429026505047873473414541618567
absolute error = 8.016420662898700e-17
relative error = 2.0331267021955018329020993093756e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.878
y[1] (analytic) = 0.39493424211339559151931036199412
y[1] (numeric) = 0.39493424211339567171996047017577
absolute error = 8.020065010818165e-17
relative error = 2.0307342731034706934398845721941e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.879
y[1] (analytic) = 0.39557820551519540322730002596851
y[1] (numeric) = 0.39557820551519548346434468626736
absolute error = 8.023704466029885e-17
relative error = 2.0283484666653783259642797763874e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.88
y[1] (analytic) = 0.39622215449076638081030758660006
y[1] (numeric) = 0.39622215449076646108369781701113
absolute error = 8.027339023041107e-17
relative error = 2.0259692528697754294075576735113e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.881
y[1] (analytic) = 0.39686608827463008970041123051019
y[1] (numeric) = 0.39686608827463017001009799415587
absolute error = 8.030968676364568e-17
relative error = 2.0235966018863175926145477203751e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.882
y[1] (analytic) = 0.39751000610094225665324083341597
y[1] (numeric) = 0.39751000610094233699917503860099
memory used=247.9MB, alloc=4.6MB, time=31.43
absolute error = 8.034593420518502e-17
relative error = 2.0212304840644002146758970064963e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.883
y[1] (analytic) = 0.39815390720349365750272026674286
y[1] (numeric) = 0.39815390720349373788485276700925
absolute error = 8.038213250026639e-17
relative error = 2.0188708699318037400343245007580e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.884
y[1] (analytic) = 0.39879779081571100566166903570641
y[1] (numeric) = 0.39879779081571108607995062988868
absolute error = 8.041828159418227e-17
relative error = 2.0165177301933568748447444437313e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.885
y[1] (analytic) = 0.3994416561706578413672524569048
y[1] (numeric) = 0.39944165617065792182163388918503
absolute error = 8.045438143228023e-17
relative error = 2.0141710357296040723853364149976e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.886
y[1] (analytic) = 0.4000855025010354216702684578282
y[1] (numeric) = 0.40008550250103550216070041779132
absolute error = 8.049043195996312e-17
relative error = 2.0118307575954919957057754642770e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.887
y[1] (analytic) = 0.40072932903918361116725795619214
y[1] (numeric) = 0.40072932903918369169369107888124
absolute error = 8.052643312268910e-17
relative error = 2.0094968670190637733952883108463e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.888
y[1] (analytic) = 0.40137313501708177347442465363741
y[1] (numeric) = 0.40137313501708185403680951960913
absolute error = 8.056238486597172e-17
relative error = 2.0071693354001662021746494817929e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.889
y[1] (analytic) = 0.40201691966634966344234895611302
y[1] (numeric) = 0.402016919666349744040636091493
absolute error = 8.059828713537998e-17
relative error = 2.0048481343091680189958987108075e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.89
y[1] (analytic) = 0.40266068221824832011047961217139
y[1] (numeric) = 0.40266068221824840074461948870982
absolute error = 8.063413987653843e-17
relative error = 2.0025332354856906177639776197877e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.891
y[1] (analytic) = 0.40330442190368096040038554045856
y[1] (numeric) = 0.40330442190368104107032857558575
absolute error = 8.066994303512719e-17
relative error = 2.0002246108373481049988734161975e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.892
y[1] (analytic) = 0.40394813795319387354674919887729
y[1] (numeric) = 0.40394813795319395425244575575939
absolute error = 8.070569655688210e-17
relative error = 1.9979222324385017976126372312277e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.893
y[1] (analytic) = 0.40459182959697731626508173024059
y[1] (numeric) = 0.40459182959697739700648211783533
absolute error = 8.074140038759474e-17
relative error = 1.9956260725290225842722067264452e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.894
y[1] (analytic) = 0.40523549606486640865513900271689
y[1] (numeric) = 0.40523549606486648943219347582939
absolute error = 8.077705447311250e-17
relative error = 1.9933361035130655132009438584690e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.895
y[1] (analytic) = 0.4058791365863420308390165479991
y[1] (numeric) = 0.40587913658634211165167530733778
absolute error = 8.081265875933868e-17
relative error = 1.9910522979578559862429096149953e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.896
y[1] (analytic) = 0.40652275039053172033290028590876
y[1] (numeric) = 0.40652275039053180118111347814129
absolute error = 8.084821319223253e-17
relative error = 1.9887746285924852248523653930740e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.897
y[1] (analytic) = 0.40716633670621057015144881107472
y[1] (numeric) = 0.40716633670621065103516652888408
absolute error = 8.088371771780936e-17
relative error = 1.9865030683067181062913564235215e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.898
y[1] (analytic) = 0.40780989476180212764378190540556
y[1] (numeric) = 0.40780989476180220856295418754618
absolute error = 8.091917228214062e-17
relative error = 1.9842375901498107892230384080832e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.899
y[1] (analytic) = 0.40845342378537929406004882930701
y[1] (numeric) = 0.4084534237853793750146256606609
absolute error = 8.095457683135389e-17
relative error = 1.9819781673293365596313201141864e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9
y[1] (analytic) = 0.4090969230046652248475488349816
y[1] (numeric) = 0.40909692300466530583748014661464
absolute error = 8.098993131163304e-17
relative error = 1.9797247732100261697561401696337e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.901
y[1] (analytic) = 0.40974039164703423067537523668985
y[1] (numeric) = 0.40974039164703431170061090590812
absolute error = 8.102523566921827e-17
relative error = 1.9774773813126154406984890698479e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.902
y[1] (analytic) = 0.41038382893951267918655326555071
y[1] (numeric) = 0.41038382893951276024704311595691
absolute error = 8.106048985040620e-17
relative error = 1.9752359653127041989662016743321e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.903
y[1] (analytic) = 0.41102723410877989747664083031663
y[1] (numeric) = 0.41102723410877997857233463186651
absolute error = 8.109569380154988e-17
relative error = 1.9730004990396232673796709684163e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.904
y[1] (analytic) = 0.41167060638116907529776020057531
y[1] (numeric) = 0.41167060638116915642860766963424
absolute error = 8.113084746905893e-17
relative error = 1.9707709564753145307066736377782e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.905
y[1] (analytic) = 0.41231394498266816898702752500966
y[1] (numeric) = 0.41231394498266825015297832440928
absolute error = 8.116595079939962e-17
relative error = 1.9685473117532193322938617609508e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.906
y[1] (analytic) = 0.41295724913892080611834599468874
y[1] (numeric) = 0.41295724913892088731934973378362
absolute error = 8.120100373909488e-17
relative error = 1.9663295391571748758089229724897e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.907
y[1] (analytic) = 0.41360051807522719087652735986883
y[1] (numeric) = 0.41360051807522727211253359459321
absolute error = 8.123600623472438e-17
relative error = 1.9641176131203219368643252591239e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.908
y[1] (analytic) = 0.41424375101654501015270540845569
y[1] (numeric) = 0.41424375101654509142366364138038
absolute error = 8.127095823292469e-17
relative error = 1.9619115082240240099064860541459e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.909
y[1] (analytic) = 0.41488694718749034036000391511914
y[1] (numeric) = 0.41488694718749042166586359550838
absolute error = 8.130585968038924e-17
relative error = 1.9597111991967910242673463037088e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=251.7MB, alloc=4.6MB, time=31.92
NO POLE
x[1] = 1.91
y[1] (analytic) = 0.41553010581233855496842047205876
y[1] (numeric) = 0.41553010581233863630913099592718
absolute error = 8.134071052386842e-17
relative error = 1.9575166609132157689204029488086e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.911
y[1] (analytic) = 0.41617322611502523275788651559876
y[1] (numeric) = 0.41617322611502531413339722576849
absolute error = 8.137551071016973e-17
relative error = 1.9553278683929207325319918599315e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.912
y[1] (analytic) = 0.41681630731914706678846276714083
y[1] (numeric) = 0.41681630731914714819872295329856
absolute error = 8.141026018615773e-17
relative error = 1.9531447967995092550164753508801e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.913
y[1] (analytic) = 0.41745934864796277408662821252703
y[1] (numeric) = 0.41745934864796285553158711128127
absolute error = 8.144495889875424e-17
relative error = 1.9509674214395317300486109285039e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.914
y[1] (analytic) = 0.41810234932439400604661965056435
y[1] (numeric) = 0.41810234932439408752622644550262
absolute error = 8.147960679493827e-17
relative error = 1.9487957177614542657086681973596e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.915
y[1] (analytic) = 0.41874530857102625954577774933671
y[1] (numeric) = 0.41874530857102634105998157108294
absolute error = 8.151420382174623e-17
relative error = 1.9466296613546429175889278910371e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.916
y[1] (analytic) = 0.41938822561010978877285445798358
y[1] (numeric) = 0.41938822561010987032160438425547
absolute error = 8.154874992627189e-17
relative error = 1.9444692279483506959717726235619e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.917
y[1] (analytic) = 0.4200310996635605177682355318556
y[1] (numeric) = 0.42003109966356059935148058752211
absolute error = 8.158324505566651e-17
relative error = 1.9423143934107173227182592233332e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.918
y[1] (analytic) = 0.42067392995296095367503084037065
y[1] (numeric) = 0.42067392995296103529271999750959
absolute error = 8.161768915713894e-17
relative error = 1.9401651337477768532137269852977e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.919
y[1] (analytic) = 0.42131671569956110069998403948827
y[1] (numeric) = 0.42131671569956118235206621744385
absolute error = 8.165208217795558e-17
relative error = 1.9380214251024704744390786309673e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.92
y[1] (analytic) = 0.42195945612427937478315210449821
y[1] (numeric) = 0.42195945612427945646957616993877
absolute error = 8.168642406544056e-17
relative error = 1.9358832437536729614446964253893e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.921
y[1] (analytic) = 0.42260215044770351897530413378284
y[1] (numeric) = 0.42260215044770360069601890075867
absolute error = 8.172071476697583e-17
relative error = 1.9337505661152253170735811716680e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.922
y[1] (analytic) = 0.42324479789009151952198775036262
y[1] (numeric) = 0.42324479789009160127694198036367
absolute error = 8.175495423000105e-17
relative error = 1.9316233687349709359298015763288e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.923
y[1] (analytic) = 0.42388739767137252265321034537105
y[1] (numeric) = 0.42388739767137260444235274738492
absolute error = 8.178914240201387e-17
relative error = 1.9295016282938091795848045680480e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.924
y[1] (analytic) = 0.42452994901114775207768132613384
y[1] (numeric) = 0.42452994901114783390096055670373
absolute error = 8.182327923056989e-17
relative error = 1.9273853216047494596820262573470e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.925
y[1] (analytic) = 0.42517245112869142718056045124409
y[1] (numeric) = 0.42517245112869150903792511452685
absolute error = 8.185736466328276e-17
relative error = 1.9252744256119766481619030340236e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.926
y[1] (analytic) = 0.42581490324295168192365625593614
y[1] (numeric) = 0.42581490324295176381505490376039
absolute error = 8.189139864782425e-17
relative error = 1.9231689173899237079938954154265e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.927
y[1] (analytic) = 0.42645730457255148444701749316503
y[1] (numeric) = 0.42645730457255156637239862508933
absolute error = 8.192538113192430e-17
relative error = 1.9210687741423517080621612584324e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.928
y[1] (analytic) = 0.42709965433578955737085943909755
y[1] (numeric) = 0.42709965433578963933017150246868
absolute error = 8.195931206337113e-17
relative error = 1.9189739732014390227824659100124e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.929
y[1] (analytic) = 0.42774195175064129879676583621756
y[1] (numeric) = 0.42774195175064138078995722622883
absolute error = 8.199319139001127e-17
relative error = 1.9168844920268763520498526201128e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.93
y[1] (analytic) = 0.4283841960347597040071061729421
y[1] (numeric) = 0.42838419603475978603412523269177
absolute error = 8.202701905974967e-17
relative error = 1.9148003082049712404751727260566e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.931
y[1] (analytic) = 0.42902638640547628786160692553902
y[1] (numeric) = 0.42902638640547636992240194608874
absolute error = 8.206079502054972e-17
relative error = 1.9127213994477580389157351630004e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.932
y[1] (analytic) = 0.42966852207980200789001431623161
y[1] (numeric) = 0.42966852207980208998453353666496
absolute error = 8.209451922043335e-17
relative error = 1.9106477435921172128379090613570e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.933
y[1] (analytic) = 0.43031060227442818807978507067332
y[1] (numeric) = 0.43031060227442827020797667815445
absolute error = 8.212819160748113e-17
relative error = 1.9085793185989020456213451069249e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.934
y[1] (analytic) = 0.430952626205727443357740588477
y[1] (numeric) = 0.4309526262057275255195527183093
absolute error = 8.216181212983230e-17
relative error = 1.9065161025520710401741430810605e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.935
y[1] (analytic) = 0.43159459308975460476461887218989
y[1] (numeric) = 0.4315945930897546869599996078747
absolute error = 8.219538073568481e-17
relative error = 1.9044580736578278178476954374072e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.936
y[1] (analytic) = 0.43223650214224764532145749301894
y[1] (numeric) = 0.43223650214224772755035486631442
absolute error = 8.222889737329548e-17
relative error = 1.9024052102437709862725829936785e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=255.6MB, alloc=4.6MB, time=32.41
NO POLE
x[1] = 1.937
y[1] (analytic) = 0.43287835257862860658673980573354
y[1] (numeric) = 0.43287835257862868884910179671354
absolute error = 8.226236199098000e-17
relative error = 1.9003574907580474089080753096887e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.938
y[1] (analytic) = 0.43352014361400452590323556050356
y[1] (numeric) = 0.43352014361400460819901009761655
absolute error = 8.229577453711299e-17
relative error = 1.8983148937685139203246033098627e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.939
y[1] (analytic) = 0.43416187446316836433346599597385
y[1] (numeric) = 0.43416187446316844666260095610199
absolute error = 8.232913496012814e-17
relative error = 1.8962773979619078649532965870623e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.94
y[1] (analytic) = 0.43480354434059993528272243563156
y[1] (numeric) = 0.43480354434060001764516564414977
absolute error = 8.236244320851821e-17
relative error = 1.8942449821430213127988331786062e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.941
y[1] (analytic) = 0.43544515246046683380856634849181
y[1] (numeric) = 0.43544515246046691620426557932697
absolute error = 8.239569923083516e-17
relative error = 1.8922176252338851190879455218749e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.942
y[1] (analytic) = 0.43608669803662536661573777531224
y[1] (numeric) = 0.43608669803662544904464075100241
absolute error = 8.242890297569017e-17
relative error = 1.8901953062729572272631122375097e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.943
y[1] (analytic) = 0.43672818028262148273539796294854
y[1] (numeric) = 0.43672818028262156519745235470225
absolute error = 8.246205439175371e-17
relative error = 1.8881780044143188395217831132933e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.944
y[1] (analytic) = 0.43736959841169170488763099208297
y[1] (numeric) = 0.43736959841169178738278441983862
absolute error = 8.249515342775565e-17
relative error = 1.8861656989268781496518727682534e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.945
y[1] (analytic) = 0.43801095163676406152612812739794
y[1] (numeric) = 0.43801095163676414405432815988323
absolute error = 8.252820003248529e-17
relative error = 1.8841583691935788250962034456147e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.946
y[1] (analytic) = 0.43865223917045901956397756432724
y[1] (numeric) = 0.43865223917045910212517171911869
absolute error = 8.256119415479145e-17
relative error = 1.8821559947106163852845748007187e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.947
y[1] (analytic) = 0.43929346022509041777948119280136
y[1] (numeric) = 0.43929346022509050037361693638391
absolute error = 8.259413574358255e-17
relative error = 1.8801585550866608060677202315965e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.948
y[1] (analytic) = 0.4399346140126664009009189459108
y[1] (numeric) = 0.43993461401266648352794369373745
absolute error = 8.262702474782665e-17
relative error = 1.8781660300420846087482436184955e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.949
y[1] (analytic) = 0.44057569974489035436918025014426
y[1] (numeric) = 0.44057569974489043702904136669578
absolute error = 8.265986111655152e-17
relative error = 1.8761783994081979705490429521100e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.95
y[1] (analytic) = 0.44121671663316183977718104381848
y[1] (numeric) = 0.44121671663316192246982584266321
absolute error = 8.269264479884473e-17
relative error = 1.8741956431264905622833523826043e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.951
y[1] (analytic) = 0.44185766388857753098498378150491
y[1] (numeric) = 0.44185766388857761371035952535866
absolute error = 8.272537574385375e-17
relative error = 1.8722177412478798223664069828068e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.952
y[1] (analytic) = 0.44249854072193215090953679467618
y[1] (numeric) = 0.44249854072193223366759069546211
absolute error = 8.275805390078593e-17
relative error = 1.8702446739319626677665261710271e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.953
y[1] (analytic) = 0.44313934634371940898794833244427
y[1] (numeric) = 0.44313934634371949177862755135288
absolute error = 8.279067921890861e-17
relative error = 1.8682764214462762523334293308965e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.954
y[1] (analytic) = 0.44378007996413293931320956114423
y[1] (numeric) = 0.44378007996413302213646120869349
absolute error = 8.282325164754926e-17
relative error = 1.8663129641655654312971192509581e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.955
y[1] (analytic) = 0.4444207407930672394412797576329
y[1] (numeric) = 0.44442074079306732229705089372831
absolute error = 8.285577113609541e-17
relative error = 1.8643542825710514675369303992401e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.956
y[1] (analytic) = 0.4450613280401186098684458885226
y[1] (numeric) = 0.44506132804011869275668352251747
absolute error = 8.288823763399487e-17
relative error = 1.8624003572497132050274305286952e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.957
y[1] (analytic) = 0.44570184091458609417786772615849
y[1] (numeric) = 0.44570184091458617709851881691415
absolute error = 8.292065109075566e-17
relative error = 1.8604511688935675743070378875920e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.958
y[1] (analytic) = 0.44634227862547241985421861197334
y[1] (numeric) = 0.44634227862547250280723006791952
absolute error = 8.295301145594618e-17
relative error = 1.8585066982989613143921680422477e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.959
y[1] (analytic) = 0.44698264038148493976533093891993
y[1] (numeric) = 0.44698264038148502275064961811516
absolute error = 8.298531867919523e-17
relative error = 1.8565669263658650768294096624429e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.96
y[1] (analytic) = 0.44762292539103657430975438698765
y[1] (numeric) = 0.44762292539103665732732709717971
absolute error = 8.301757271019206e-17
relative error = 1.8546318340971739125935616083083e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.961
y[1] (analytic) = 0.44826313286224675422913390935892
y[1] (numeric) = 0.44826313286224683727890740804546
absolute error = 8.304977349868654e-17
relative error = 1.8527014025980160890280326358487e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.962
y[1] (analytic) = 0.44890326200294236408431343155466
y[1] (numeric) = 0.44890326200294244716623442604374
absolute error = 8.308192099448908e-17
relative error = 1.8507756130750619145823109780582e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.963
y[1] (analytic) = 0.44954331202065868639407019195543
y[1] (numeric) = 0.44954331202065876950808533942625
absolute error = 8.311401514747082e-17
relative error = 1.8488544468358441417420890816602e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=259.4MB, alloc=4.6MB, time=32.89
x[1] = 1.964
y[1] (analytic) = 0.45018328212264034643538361937078
y[1] (numeric) = 0.45018328212264042958143952693438
absolute error = 8.314605590756360e-17
relative error = 1.8469378852880789515938425862102e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.965
y[1] (analytic) = 0.45082317151584225770414161186157
y[1] (numeric) = 0.45082317151584234088218483662171
absolute error = 8.317804322476014e-17
relative error = 1.8450259099389970554428967193729e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.966
y[1] (analytic) = 0.45146297940693056803518605080318
y[1] (numeric) = 0.45146297940693065124516309991721
absolute error = 8.320997704911403e-17
relative error = 1.8431185023946759560641030806678e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.967
y[1] (analytic) = 0.45210270500228360638059835521041
y[1] (numeric) = 0.45210270500228368962245568595019
absolute error = 8.324185733073978e-17
relative error = 1.8412156443593788898177094746206e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.968
y[1] (analytic) = 0.45274234750799283024512485363063
y[1] (numeric) = 0.45274234750799291351880887344361
absolute error = 8.327368401981298e-17
relative error = 1.8393173176349014908821310161429e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.969
y[1] (analytic) = 0.45338190612986377377764072445146
y[1] (numeric) = 0.45338190612986385708309779102172
absolute error = 8.330545706657026e-17
relative error = 1.8374235041199192667544410003339e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.97
y[1] (analytic) = 0.45402138007341699651755023026287
y[1] (numeric) = 0.4540213800734170798547266515723
absolute error = 8.333717642130943e-17
relative error = 1.8355341858093442495430302774457e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.971
y[1] (analytic) = 0.45466076854388903279501994796511
y[1] (numeric) = 0.45466076854388911616386198235464
absolute error = 8.336884203438953e-17
relative error = 1.8336493447936847970461808777337e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.972
y[1] (analytic) = 0.45530007074623334178394067362222
y[1] (numeric) = 0.45530007074623342518439452985312
absolute error = 8.340045385623090e-17
relative error = 1.8317689632584109314359902674878e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.973
y[1] (analytic) = 0.45593928588512125820651265962889
y[1] (numeric) = 0.45593928588512134163852449694412
absolute error = 8.343201183731523e-17
relative error = 1.8298930234833242866341740880620e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.974
y[1] (analytic) = 0.4565784131649429436883478215869
y[1] (numeric) = 0.45657841316494302715186374977252
absolute error = 8.346351592818562e-17
relative error = 1.8280215078419332789851790987270e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.975
y[1] (analytic) = 0.45721745178980833876298153337797
y[1] (numeric) = 0.4572174517898084222579476128247
absolute error = 8.349496607944673e-17
relative error = 1.8261543988008352025006173098128e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.976
y[1] (analytic) = 0.45785640096354811552468561127419
y[1] (numeric) = 0.45785640096354819905104785303888
absolute error = 8.352636224176469e-17
relative error = 1.8242916789190979761561448368492e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.977
y[1] (analytic) = 0.45849525988971463092847307154504
y[1] (numeric) = 0.45849525988971471448617743741238
absolute error = 8.355770436586734e-17
relative error = 1.8224333308476539812009957541776e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.978
y[1] (analytic) = 0.45913402777158288073618423090629
y[1] (numeric) = 0.45913402777158296432517663345047
absolute error = 8.358899240254418e-17
relative error = 1.8205793373286923695924506932278e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.979
y[1] (analytic) = 0.45977270381215145410754270530734
y[1] (numeric) = 0.45977270381215153772776900795383
absolute error = 8.362022630264649e-17
relative error = 1.8187296811950598658939623089340e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.98
y[1] (analytic) = 0.46041128721414348883506884997581
y[1] (numeric) = 0.46041128721414357248647486706317
absolute error = 8.365140601708736e-17
relative error = 1.8168843453696643355155624344557e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.981
y[1] (analytic) = 0.46104977718000762722173717232959
y[1] (numeric) = 0.46104977718000771090426866917142
absolute error = 8.368253149684183e-17
relative error = 1.8150433128648854328510190988667e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.982
y[1] (analytic) = 0.46168817291191897260026323933036
y[1] (numeric) = 0.46168817291191905631386593227719
absolute error = 8.371360269294683e-17
relative error = 1.8132065667819855486965369841924e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.983
y[1] (analytic) = 0.46232647361178004649290459208859
y[1] (numeric) = 0.46232647361178013023752414858998
absolute error = 8.374461955650139e-17
relative error = 1.8113740903105312224112687731910e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.984
y[1] (analytic) = 0.46296467848122174641065917304187
y[1] (numeric) = 0.46296467848122183018624121170848
absolute error = 8.377558203866661e-17
relative error = 1.8095458667278139042025393501938e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.985
y[1] (analytic) = 0.46360278672160430429074376481446
y[1] (numeric) = 0.46360278672160438809723385548021
absolute error = 8.380649009066575e-17
relative error = 1.8077218793982778413796027414704e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.986
y[1] (analytic) = 0.46424079753401824557123393493046
y[1] (numeric) = 0.46424079753401832940857759871478
absolute error = 8.383734366378432e-17
relative error = 1.8059021117729524374343634678137e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.987
y[1] (analytic) = 0.46487871011928534890174597689562
y[1] (numeric) = 0.46487871011928543276988868626572
absolute error = 8.386814270937010e-17
relative error = 1.8040865473888875374520168339882e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.988
y[1] (analytic) = 0.46551652367795960648904033578503
y[1] (numeric) = 0.46551652367795969038792751461833
absolute error = 8.389888717883330e-17
relative error = 1.8022751698685961251066447001281e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.989
y[1] (analytic) = 0.46615423741032818507642500537843
y[1] (numeric) = 0.46615423741032826900600202902489
absolute error = 8.392957702364646e-17
relative error = 1.8004679629194957815796817933448e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.99
y[1] (analytic) = 0.46679185051641238755583638407047
y[1] (numeric) = 0.46679185051641247151604857941518
absolute error = 8.396021219534471e-17
relative error = 1.7986649103333622025359784223711e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.991
memory used=263.2MB, alloc=4.6MB, time=33.37
y[1] (analytic) = 0.46742936219596861521147407825518
y[1] (numeric) = 0.46742936219596869920226672378088
absolute error = 8.399079264552570e-17
relative error = 1.7968659959857798985380823666346e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.992
y[1] (analytic) = 0.46806677164848933059386514463855
y[1] (numeric) = 0.46806677164848941461518347048829
absolute error = 8.402131832584974e-17
relative error = 1.7950712038356016446557942888194e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.993
y[1] (analytic) = 0.46870407807320402102323226697699
y[1] (numeric) = 0.46870407807320410507502145501679
absolute error = 8.405178918803980e-17
relative error = 1.7932805179244091306269980988557e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.994
y[1] (analytic) = 0.46934128066908016272103936806964
y[1] (numeric) = 0.46934128066908024680324455195129
absolute error = 8.408220518388165e-17
relative error = 1.7914939223759807679881167008260e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.995
y[1] (analytic) = 0.46997837863482418556858716445347
y[1] (numeric) = 0.46997837863482426968115342967731
absolute error = 8.411256626522384e-17
relative error = 1.7897114013957602049644116489937e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.996
y[1] (analytic) = 0.47061537116888243849153017916084
y[1] (numeric) = 0.4706153711688825226344025631387
absolute error = 8.414287238397786e-17
relative error = 1.7879329392703327689581504615580e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.997
y[1] (analytic) = 0.47125225746944215546918573710329
y[1] (numeric) = 0.47125225746944223964230922922143
absolute error = 8.417312349211814e-17
relative error = 1.7861585203669025487326414542483e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.998
y[1] (analytic) = 0.47188903673443242216750447814176
y[1] (numeric) = 0.4718890367344325063708240198239
absolute error = 8.420331954168214e-17
relative error = 1.7843881291327754100098947704130e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.999
y[1] (analytic) = 0.47252570816152514319457093469585
y[1] (numeric) = 0.47252570816152522742803141946628
absolute error = 8.423346048477043e-17
relative error = 1.7826217500948457740931492189872e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2
y[1] (analytic) = 0.47316227094813600997750173383288
y[1] (numeric) = 0.47316227094813609424104800737958
absolute error = 8.426354627354670e-17
relative error = 1.7808593678590858578538612991085e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.001
y[1] (analytic) = 0.47379872429142546925960799816313
y[1] (numeric) = 0.47379872429142555355318485840101
absolute error = 8.429357686023788e-17
relative error = 1.7791009671100411528329355353537e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.002
y[1] (analytic) = 0.47443506738829969221668753555289
y[1] (numeric) = 0.47443506738829977654023973268711
absolute error = 8.432355219713422e-17
relative error = 1.7773465326103289250012636237711e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.003
y[1] (analytic) = 0.47507129943541154419131142465188
y[1] (numeric) = 0.47507129943541162854478366124113
absolute error = 8.435347223658925e-17
relative error = 1.7755960492001380246668534861079e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.004
y[1] (analytic) = 0.47570741962916155504396862151823
y[1] (numeric) = 0.47570741962916163942730555253822
absolute error = 8.438333693101999e-17
relative error = 1.7738495017967377738870106856147e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.005
y[1] (analytic) = 0.47634342716569889011993123221467
y[1] (numeric) = 0.47634342716569897453307746512161
absolute error = 8.441314623290694e-17
relative error = 1.7721068753939859814068920678593e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.006
y[1] (analytic) = 0.47697932124092232183070211714319
y[1] (numeric) = 0.47697932124092240627360221193729
absolute error = 8.444290009479410e-17
relative error = 1.7703681550618413362774792331040e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.007
y[1] (analytic) = 0.47761510105048120184890551508554
y[1] (numeric) = 0.47761510105048128632150398437464
absolute error = 8.447259846928910e-17
relative error = 1.7686333259458818159860168248018e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.008
y[1] (analytic) = 0.47825076578977643391548039842399
y[1] (numeric) = 0.4782507657897765184177217074873
absolute error = 8.450224130906331e-17
relative error = 1.7669023732668263365235324820764e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.009
y[1] (analytic) = 0.47888631465396144725803529583226
y[1] (numeric) = 0.47888631465396153178986386268402
absolute error = 8.453182856685176e-17
relative error = 1.7651752823200560659786679387171e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.01
y[1] (analytic) = 0.47952174683794317061922234485087
y[1] (numeric) = 0.4795217468379432551805825403042
absolute error = 8.456136019545333e-17
relative error = 1.7634520384751449992534981444184e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.011
y[1] (analytic) = 0.48015706153638300689398736419827
y[1] (numeric) = 0.48015706153638309148482351192904
absolute error = 8.459083614773077e-17
relative error = 1.7617326271753905459955737731498e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.012
y[1] (analytic) = 0.48079225794369780837455176441679
y[1] (numeric) = 0.48079225794369789299480814102759
absolute error = 8.462025637661080e-17
relative error = 1.7600170339373493329187377901751e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.013
y[1] (analytic) = 0.48142733525406085260198114551531
y[1] (numeric) = 0.4814273352540609372516019805994
absolute error = 8.464962083508409e-17
relative error = 1.7583052443503740195512770061437e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.014
y[1] (analytic) = 0.48206229266140281882319446164717
y[1] (numeric) = 0.48206229266140290350212393785256
absolute error = 8.467892947620539e-17
relative error = 1.7565972440761567204907514645215e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.015
y[1] (analytic) = 0.48269712935941276505226666555617
y[1] (numeric) = 0.4826971293594128497604489186498
absolute error = 8.470818225309363e-17
relative error = 1.7548930188482752457490209599761e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.016
y[1] (analytic) = 0.48333184454153910573487677953462
y[1] (numeric) = 0.4833318445415391904722558984665
absolute error = 8.473737911893188e-17
relative error = 1.7531925544717398588583990561705e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.017
y[1] (analytic) = 0.48396643740099059001475237496763
y[1] (numeric) = 0.48396643740099067478127240193512
absolute error = 8.476652002696749e-17
relative error = 1.7514958368225471614349661298813e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.018
y[1] (analytic) = 0.48460090713073728060096047918904
y[1] (numeric) = 0.48460090713073736539656540970119
absolute error = 8.479560493051215e-17
relative error = 1.7498028518472356750287449874610e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=267.0MB, alloc=4.6MB, time=33.87
NO POLE
x[1] = 2.019
y[1] (analytic) = 0.48523525292351153323489396634671
y[1] (numeric) = 0.48523525292351161805952774928863
absolute error = 8.482463378294192e-17
relative error = 1.7481135855624441365370527830127e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.02
y[1] (analytic) = 0.48586947397180897675580152827024
y[1] (numeric) = 0.48586947397180906160940806596759
absolute error = 8.485360653769735e-17
relative error = 1.7464280240544749535354413130473e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.021
y[1] (analytic) = 0.48650356946788949376370836195457
y[1] (numeric) = 0.48650356946788957864623151023802
absolute error = 8.488252314828345e-17
relative error = 1.7447461534788578406145254647370e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.022
y[1] (analytic) = 0.48713753860377820187857375221763
y[1] (numeric) = 0.48713753860377828678995732048751
absolute error = 8.491138356826988e-17
relative error = 1.7430679600599212317792416737025e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.023
y[1] (analytic) = 0.48777138057126643559453077136374
y[1] (numeric) = 0.48777138057126652053471852265463
absolute error = 8.494018775129089e-17
relative error = 1.7413934300903617637929993516600e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.024
y[1] (analytic) = 0.48840509456191272872805236228421
y[1] (numeric) = 0.48840509456191281369698801332968
absolute error = 8.496893565104547e-17
relative error = 1.7397225499308212676804040418158e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.025
y[1] (analytic) = 0.48903867976704379745888711735791
y[1] (numeric) = 0.48903867976704388245651433865529
absolute error = 8.499762722129738e-17
relative error = 1.7380553060094644535978150685142e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.026
y[1] (analytic) = 0.48967213537775552396260711277531
y[1] (numeric) = 0.48967213537775560898886952865054
absolute error = 8.502626241587523e-17
relative error = 1.7363916848215607557410167288070e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.027
y[1] (analytic) = 0.49030546058491394063360920650344
y[1] (numeric) = 0.49030546058491402568845039517592
absolute error = 8.505484118867248e-17
relative error = 1.7347316729290676494712617351646e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.028
y[1] (analytic) = 0.49093865457915621489741025803599
y[1] (numeric) = 0.49093865457915629998077375168361
absolute error = 8.508336349364762e-17
relative error = 1.7330752569602207245359048526437e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.029
y[1] (analytic) = 0.49157171655089163461107577933536
y[1] (numeric) = 0.4915717165508917197229050641595
absolute error = 8.511182928482414e-17
relative error = 1.7314224236091225209053728597489e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.03
y[1] (analytic) = 0.49220464569030259405062057897096
y[1] (numeric) = 0.49220464569030267919085909526156
absolute error = 8.514023851629060e-17
relative error = 1.7297731596353364377221369866360e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.031
y[1] (analytic) = 0.49283744118734558048421901539406
y[1] (numeric) = 0.49283744118734566565281015759483
absolute error = 8.516859114220077e-17
relative error = 1.7281274518634850621666163894197e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.032
y[1] (analytic) = 0.49347010223175216133006153056412
y[1] (numeric) = 0.49347010223175224652694864733769
absolute error = 8.519688711677357e-17
relative error = 1.7264852871828474082322886800240e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.033
y[1] (analytic) = 0.49410262801302997189769319175534
y[1] (numeric) = 0.49410262801303005712281958604862
absolute error = 8.522512639429328e-17
relative error = 1.7248466525469645884771187221063e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.034
y[1] (analytic) = 0.494735017720463703711669027329
y[1] (numeric) = 0.49473501772046378896497795643847
absolute error = 8.525330892910947e-17
relative error = 1.7232115349732427272972013254463e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.035
y[1] (analytic) = 0.4953672705431160934163600015549
y[1] (numeric) = 0.495367270543116178697794677192
absolute error = 8.528143467563710e-17
relative error = 1.7215799215425622256144618759422e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.036
y[1] (analytic) = 0.49599938566982891226074253420811
y[1] (numeric) = 0.49599938566982899757024612256478
absolute error = 8.530950358835667e-17
relative error = 1.7199517993988909019871749684209e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.037
y[1] (analytic) = 0.49663136228922395616200353265549
y[1] (numeric) = 0.49663136228922404149951915446966
absolute error = 8.533751562181417e-17
relative error = 1.7183271557488959427288466396176e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.038
y[1] (analytic) = 0.49726319958970403634679196748
y[1] (numeric) = 0.49726319958970412171226269810118
absolute error = 8.536547073062118e-17
relative error = 1.7167059778615617111741473673990e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.039
y[1] (analytic) = 0.49789489675945397056894708737391
y[1] (numeric) = 0.49789489675945405596231595682888
absolute error = 8.539336886945497e-17
relative error = 1.7150882530678103523509352916280e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.04
y[1] (analytic) = 0.49852645298644157490253243506312
y[1] (numeric) = 0.49852645298644166032374242812163
absolute error = 8.542120999305851e-17
relative error = 1.7134739687601233639288838519034e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.041
y[1] (analytic) = 0.49915786745841865610900389340677
y[1] (numeric) = 0.49915786745841874155799794964732
absolute error = 8.544899405624055e-17
relative error = 1.7118631123921673312515496482206e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.042
y[1] (analytic) = 0.49978913936292200457733905955004
y[1] (numeric) = 0.49978913936292209005406007342574
absolute error = 8.547672101387570e-17
relative error = 1.7102556714784223899817236774885e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.043
y[1] (analytic) = 0.50042026788727438783595431509472
y[1] (numeric) = 0.50042026788727447334034513599923
absolute error = 8.550439082090451e-17
relative error = 1.7086516335938133932096437422091e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.044
y[1] (analytic) = 0.5010512522185855446352350316934
y[1] (numeric) = 0.50105125221858563016723846402683
absolute error = 8.553200343233343e-17
relative error = 1.7070509863733413651333776193688e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.045
y[1] (analytic) = 0.50168209154375317959950342426915
y[1] (numeric) = 0.50168209154375326515906222750415
absolute error = 8.555955880323500e-17
relative error = 1.7054537175117222162176160511696e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=270.8MB, alloc=4.6MB, time=34.37
NO POLE
x[1] = 2.046
y[1] (analytic) = 0.50231278504946395844724763821698
y[1] (numeric) = 0.50231278504946404403430452696482
absolute error = 8.558705688874784e-17
relative error = 1.7038598147630240964753200899184e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.047
y[1] (analytic) = 0.50294333192219450377843473245433
y[1] (numeric) = 0.50294333192219458939293237653106
absolute error = 8.561449764407673e-17
relative error = 1.7022692659403091657634411313329e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.048
y[1] (analytic) = 0.50357373134821239142772929705949
y[1] (numeric) = 0.50357373134821247706961032155217
absolute error = 8.564188102449268e-17
relative error = 1.7006820589152777574231264340456e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.049
y[1] (analytic) = 0.50420398251357714738243852246847
y[1] (numeric) = 0.50420398251357723305164550780143
absolute error = 8.566920698533296e-17
relative error = 1.6990981816179143201649349950045e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.05
y[1] (analytic) = 0.50483408460414124526400361679492
y[1] (numeric) = 0.50483408460414133096047909879615
absolute error = 8.569647548200123e-17
relative error = 1.6975176220361378966747764683824e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.051
y[1] (analytic) = 0.50546403680555110437185654879499
y[1] (numeric) = 0.50546403680555119009554301876249
absolute error = 8.572368646996750e-17
relative error = 1.6959403682154517585406012817936e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.052
y[1] (analytic) = 0.50609383830324808828846017632038
y[1] (numeric) = 0.50609383830324817403930008108865
absolute error = 8.575083990476827e-17
relative error = 1.6943664082585991213657005126582e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.053
y[1] (analytic) = 0.50672348828246950404434890379099
y[1] (numeric) = 0.5067234882824695898222846457976
absolute error = 8.577793574200661e-17
relative error = 1.6927957303252201516394749597508e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.054
y[1] (analytic) = 0.50735298592824960184198609727309
y[1] (numeric) = 0.5073529859282496876469600346252
absolute error = 8.580497393735211e-17
relative error = 1.6912283226315088752132046322447e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.055
y[1] (analytic) = 0.50798233042542057533725357217157
y[1] (numeric) = 0.50798233042542066116920801871265
absolute error = 8.583195444654108e-17
relative error = 1.6896641734498774695651482896103e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.056
y[1] (analytic) = 0.50861152095861356247738755633854
y[1] (numeric) = 0.50861152095861364833626478171504
absolute error = 8.585887722537650e-17
relative error = 1.6881032711086180459554602118086e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.057
y[1] (analytic) = 0.50924055671225964689417462056314
y[1] (numeric) = 0.5092405567122597327799168502913
absolute error = 8.588574222972816e-17
relative error = 1.6865456039915705842368954470622e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.058
y[1] (analytic) = 0.50986943687059085985122015894414
y[1] (numeric) = 0.50986943687059094576376957447678
absolute error = 8.591254941553264e-17
relative error = 1.6849911605377901033975685658259e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.059
y[1] (analytic) = 0.51049816061764118274410109355543
y[1] (numeric) = 0.51049816061764126868339983234893
absolute error = 8.593929873879350e-17
relative error = 1.6834399292412203229582782909979e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.06
y[1] (analytic) = 0.51112672713724755015221357109936
y[1] (numeric) = 0.51112672713724763611820372668054
absolute error = 8.596599015558118e-17
relative error = 1.6818918986503639777173743163569e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.061
y[1] (analytic) = 0.51175513561305085344112551390169
y[1] (numeric) = 0.51175513561305093943374913593485
absolute error = 8.599262362203316e-17
relative error = 1.6803470573679605626297973209293e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.062
y[1] (analytic) = 0.5123833852284969449142429836402
y[1] (numeric) = 0.51238338522849703093344207799424
absolute error = 8.601919909435404e-17
relative error = 1.6788053940506648090352720113260e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.063
y[1] (analytic) = 0.51301147516683764251259841361402
y[1] (numeric) = 0.51301147516683772855831494242957
absolute error = 8.604571652881555e-17
relative error = 1.6772668974087260815596919727959e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.064
y[1] (analytic) = 0.5136394046111317350615678641562
y[1] (numeric) = 0.51363940461113182113374374591279
absolute error = 8.607217588175659e-17
relative error = 1.6757315562056706353444162063717e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.065
y[1] (analytic) = 0.51426717274424598806332355596853
y[1] (numeric) = 0.51426717274424607416190066555187
absolute error = 8.609857710958334e-17
relative error = 1.6741993592579874875895362393049e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.066
y[1] (analytic) = 0.51489477874885615003382703771615
y[1] (numeric) = 0.51489477874885623615874720648549
absolute error = 8.612492016876934e-17
relative error = 1.6726702954348159310420112373928e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.067
y[1] (analytic) = 0.51552222180744795938316744716185
y[1] (numeric) = 0.51552222180744804553437246301732
absolute error = 8.615120501585547e-17
relative error = 1.6711443536576333182046127098280e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.068
y[1] (analytic) = 0.5161495011023181518380484294463
y[1] (numeric) = 0.51614950110231823801548003689638
absolute error = 8.617743160745008e-17
relative error = 1.6696215228999479581165951217170e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.069
y[1] (analytic) = 0.51677661581557546840522638183381
y[1] (numeric) = 0.51677661581557555460882628206285
absolute error = 8.620359990022904e-17
relative error = 1.6681017921869926321830485435498e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.07
y[1] (analytic) = 0.51740356512914166387470180134315
y[1] (numeric) = 0.51740356512914175010441165227892
absolute error = 8.622970985093577e-17
relative error = 1.6665851505954198840188451401122e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.071
y[1] (analytic) = 0.51803034822475251586146462017134
y[1] (numeric) = 0.51803034822475260211722603655265
absolute error = 8.625576141638131e-17
relative error = 1.6650715872530002270744300007660e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.072
y[1] (analytic) = 0.51865696428395883438459352369689
y[1] (numeric) = 0.5186569642839589206663480771413
absolute error = 8.628175455344441e-17
relative error = 1.6635610913383228603019538730618e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=274.6MB, alloc=4.6MB, time=34.87
x[1] = 2.073
y[1] (analytic) = 0.51928341248812747198250835711808
y[1] (numeric) = 0.51928341248812755829019757618964
absolute error = 8.630768921907156e-17
relative error = 1.6620536520804973306381127892174e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.074
y[1] (analytic) = 0.51990969201844233436317383944346
y[1] (numeric) = 0.51990969201844242069673920972051
absolute error = 8.633356537027705e-17
relative error = 1.6605492587588578659223161161798e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.075
y[1] (analytic) = 0.52053580205590539158805191760648
y[1] (numeric) = 0.52053580205590547794743488174953
absolute error = 8.635938296414305e-17
relative error = 1.6590479007026701641703441376715e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.076
y[1] (analytic) = 0.52116174178133768978859920892597
y[1] (numeric) = 0.52116174178133777617374116674564
absolute error = 8.638514195781967e-17
relative error = 1.6575495672908398515440582235762e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.077
y[1] (analytic) = 0.52178751037538036341410509697978
y[1] (numeric) = 0.52178751037538044982494740550474
absolute error = 8.641084230852496e-17
relative error = 1.6560542479516218289135508177877e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.078
y[1] (analytic) = 0.52241310701849564800966516420103
y[1] (numeric) = 0.52241310701849573444614913774612
absolute error = 8.643648397354509e-17
relative error = 1.6545619321623350941164919096987e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.079
y[1] (analytic) = 0.52303853089096789352308376414844
y[1] (numeric) = 0.52303853089096797998515067438274
absolute error = 8.646206691023430e-17
relative error = 1.6530726094490751557412991634273e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.08
y[1] (analytic) = 0.52366378117290457813949865744192
y[1] (numeric) = 0.52366378117290466462708973345689
absolute error = 8.648759107601497e-17
relative error = 1.6515862693864307427264113312311e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.081
y[1] (analytic) = 0.52428885704423732264251975779666
y[1] (numeric) = 0.52428885704423740915557618617441
absolute error = 8.651305642837775e-17
relative error = 1.6501029015972036299613487151569e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.082
y[1] (analytic) = 0.52491375768472290530067315843257
y[1] (numeric) = 0.52491375768472299183913608331415
absolute error = 8.653846292488158e-17
relative error = 1.6486224957521283157464589118181e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.083
y[1] (analytic) = 0.52553848227394427727794073438262
y[1] (numeric) = 0.52553848227394436384175125753635
absolute error = 8.656381052315373e-17
relative error = 1.6471450415695940264470945378894e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.084
y[1] (analytic) = 0.52616302999131157856718474287515
y[1] (numeric) = 0.526163029991311665156283923765
absolute error = 8.658909918088985e-17
relative error = 1.6456705288153688393764796983528e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.085
y[1] (analytic) = 0.52678740001606315444524597202224
y[1] (numeric) = 0.52678740001606324105957482787634
absolute error = 8.661432885585410e-17
relative error = 1.6441989473023272355617690828733e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.086
y[1] (analytic) = 0.52741159152726657244850311751076
y[1] (numeric) = 0.52741159152726665908800262338991
absolute error = 8.663949950587915e-17
relative error = 1.6427302868901770726803577957680e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.087
y[1] (analytic) = 0.5280356037038196398676801978646
y[1] (numeric) = 0.52803560370381972653229128673084
absolute error = 8.666461108886624e-17
relative error = 1.6412645374851895816191378333725e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.088
y[1] (analytic) = 0.52865943572445142176068795112839
y[1] (numeric) = 0.52865943572445150845035151391367
absolute error = 8.668966356278528e-17
relative error = 1.6398016890399319837532905499623e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.089
y[1] (analytic) = 0.52928308676772325948228428951572
y[1] (numeric) = 0.52928308676772334619694117519057
absolute error = 8.671465688567485e-17
relative error = 1.6383417315530000626286425157095e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.09
y[1] (analytic) = 0.52990655601202978972933802366849
y[1] (numeric) = 0.52990655601202987646892903931078
absolute error = 8.673959101564229e-17
relative error = 1.6368846550687542763451729898235e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.091
y[1] (analytic) = 0.53052984263559996410047920469161
y[1] (numeric) = 0.53052984263560005086494511555541
absolute error = 8.676446591086380e-17
relative error = 1.6354304496770578739592021908800e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.092
y[1] (analytic) = 0.53115294581649806916891857005883
y[1] (numeric) = 0.53115294581649815595820009964325
absolute error = 8.678928152958442e-17
relative error = 1.6339791055130145523080305045891e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.093
y[1] (analytic) = 0.53177586473262474706721771883199
y[1] (numeric) = 0.5317758647326248338812555489501
absolute error = 8.681403783011811e-17
relative error = 1.6325306127567097944663873096800e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.094
y[1] (analytic) = 0.53239859856171801658279078239997
y[1] (numeric) = 0.53239859856171810342152555324787
absolute error = 8.683873477084790e-17
relative error = 1.6310849616329552965380253493099e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.095
y[1] (analytic) = 0.53302114648135429476291749912527
y[1] (numeric) = 0.53302114648135438162628980935105
absolute error = 8.686337231022578e-17
relative error = 1.6296421424110302667500710382295e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.096
y[1] (analytic) = 0.53364350766894941902804674488602
y[1] (numeric) = 0.53364350766894950591599715165894
absolute error = 8.688795040677292e-17
relative error = 1.6282021454044306787967473708963e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.097
y[1] (analytic) = 0.53426568130175966979216871652308
y[1] (numeric) = 0.53426568130175975670463773560273
absolute error = 8.691246901907965e-17
relative error = 1.6267649609706157460412224429059e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.098
y[1] (analytic) = 0.53488766655688279358903311164354
y[1] (numeric) = 0.53488766655688288052596121744902
absolute error = 8.693692810580548e-17
relative error = 1.6253305795107568742786594926067e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.099
y[1] (analytic) = 0.53550946261125902670298979609717
y[1] (numeric) = 0.53550946261125911366431742177642
absolute error = 8.696132762567925e-17
relative error = 1.6238989914694907538541164977354e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=278.4MB, alloc=4.6MB, time=35.35
x[1] = 2.1
y[1] (analytic) = 0.53613106864167211930322759973159
y[1] (numeric) = 0.53613106864167220628889513723077
absolute error = 8.698566753749918e-17
relative error = 1.6224701873346722678392816869614e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.101
y[1] (analytic) = 0.53675248382475036008018603174587
y[1] (numeric) = 0.53675248382475044709013383187864
absolute error = 8.700994780013277e-17
relative error = 1.6210441576371262865362436479461e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.102
y[1] (analytic) = 0.537373707336967601382913859102
y[1] (numeric) = 0.53737370733696768841708223161912
absolute error = 8.703416837251712e-17
relative error = 1.6196208929504089647483396369037e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.103
y[1] (analytic) = 0.53799473835464428485614764502279
y[1] (numeric) = 0.53799473835464437191447685868157
absolute error = 8.705832921365878e-17
relative error = 1.6182003838905619223755085962172e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.104
y[1] (analytic) = 0.53861557605394846757588249959986
y[1] (numeric) = 0.53861557605394855465831278223374
absolute error = 8.708243028263388e-17
relative error = 1.6167826211158732906518841360898e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.105
y[1] (analytic) = 0.53923621961089684868220645096253
y[1] (numeric) = 0.53923621961089693578867798955072
absolute error = 8.710647153858819e-17
relative error = 1.6153675953266390782841730118186e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.106
y[1] (analytic) = 0.53985666820135579650816900331564
y[1] (numeric) = 0.53985666820135588363862194405278
absolute error = 8.713045294073714e-17
relative error = 1.6139552972649254108882142513480e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.107
y[1] (analytic) = 0.54047692100104237620345360744372
y[1] (numeric) = 0.5404769210010424633578280558097
absolute error = 8.715437444836598e-17
relative error = 1.6125457177143349673516837529075e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.108
y[1] (analytic) = 0.54109697718552537785162293000248
y[1] (numeric) = 0.54109697718552546502985895083217
absolute error = 8.717823602082969e-17
relative error = 1.6111388474997703721160815288590e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.109
y[1] (analytic) = 0.54171683593022634507970497007545
y[1] (numeric) = 0.54171683593022643228174258762861
absolute error = 8.720203761755316e-17
relative error = 1.6097346774872041671236235976482e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.11
y[1] (analytic) = 0.54233649641042060415888723506791
y[1] (numeric) = 0.5423364964104206913846664330991
absolute error = 8.722577919803119e-17
relative error = 1.6083331985834470135835854153768e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.111
y[1] (analytic) = 0.54295595780123829359508535303995
y[1] (numeric) = 0.54295595780123838084454607486854
absolute error = 8.724946072182859e-17
relative error = 1.6069344017359192948938815337547e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.112
y[1] (analytic) = 0.54357521927766539420815166504951
y[1] (numeric) = 0.54357521927766548148123381362963
absolute error = 8.727308214858012e-17
relative error = 1.6055382779324213106587871614316e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.113
y[1] (analytic) = 0.54419428001454475969848850898356
y[1] (numeric) = 0.54419428001454484699513194697427
absolute error = 8.729664343799071e-17
relative error = 1.6041448182009101585883854308498e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.114
y[1] (analytic) = 0.54481313918657714769983007570476
y[1] (numeric) = 0.54481313918657723501997462554019
absolute error = 8.732014454983543e-17
relative error = 1.6027540136092735231855836549880e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.115
y[1] (analytic) = 0.54543179596832225131695588913023
y[1] (numeric) = 0.54543179596832233866054133308974
absolute error = 8.734358544395951e-17
relative error = 1.6013658552651058962332588593001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.116
y[1] (analytic) = 0.54605024953419973114709813409209
y[1] (numeric) = 0.54605024953419981851406421437059
absolute error = 8.736696608027850e-17
relative error = 1.5999803343154888581838585720759e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.117
y[1] (analytic) = 0.54666849905849024778380422950683
y[1] (numeric) = 0.54666849905849033517409064828506
absolute error = 8.739028641877823e-17
relative error = 1.5985974419467691689950071079124e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.118
y[1] (analytic) = 0.54728654371533649480201521950185
y[1] (numeric) = 0.54728654371533658221556163901676
absolute error = 8.741354641951491e-17
relative error = 1.5972171693843408983929812514079e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.119
y[1] (analytic) = 0.54790438267874423222311973171655
y[1] (numeric) = 0.54790438267874431965986577433178
absolute error = 8.743674604261523e-17
relative error = 1.5958395078924290086517907262229e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.12
y[1] (analytic) = 0.54852201512258332045874243001117
y[1] (numeric) = 0.54852201512258340791862767828747
absolute error = 8.745988524827630e-17
relative error = 1.5944644487738714616876050292642e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.121
y[1] (analytic) = 0.54913944022058875473202506828074
y[1] (numeric) = 0.54913944022058884221498906504657
absolute error = 8.748296399676583e-17
relative error = 1.5930919833699071463795428599712e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.122
y[1] (analytic) = 0.54975665714636169997515743298682
y[1] (numeric) = 0.54975665714636178748113968140893
absolute error = 8.750598224842211e-17
relative error = 1.5917221030599615769784326316405e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.123
y[1] (analytic) = 0.55037366507337052620191464438434
y[1] (numeric) = 0.55037366507337061373085460803839
absolute error = 8.752893996365405e-17
relative error = 1.5903547992614351043312513347501e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.124
y[1] (analytic) = 0.55099046317495184435395647023886
y[1] (numeric) = 0.55099046317495193190579357318022
absolute error = 8.755183710294136e-17
relative error = 1.5889900634294950723001889036617e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.125
y[1] (analytic) = 0.5516070506243115426196434911008
y[1] (numeric) = 0.55160705062431163019431711793527
absolute error = 8.757467362683447e-17
relative error = 1.5876278870568646371099929020408e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.126
y[1] (analytic) = 0.55222342659452582322412414292793
y[1] (numeric) = 0.55222342659452591082157363888255
absolute error = 8.759744949595462e-17
relative error = 1.5862682616736160625576087719621e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.127
y[1] (analytic) = 0.55283959025854223968944585102902
y[1] (numeric) = 0.55283959025854232730961052202299
absolute error = 8.762016467099397e-17
relative error = 1.5849111788469657430142902789202e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=282.3MB, alloc=4.6MB, time=35.83
NO POLE
x[1] = 2.128
y[1] (analytic) = 0.55345554078918073456344265893924
y[1] (numeric) = 0.55345554078918082220626177165486
absolute error = 8.764281911271562e-17
relative error = 1.5835566301810689533813214556960e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.129
y[1] (analytic) = 0.55407127735913467761615094693367
y[1] (numeric) = 0.55407127735913476528156372888728
absolute error = 8.766541278195361e-17
relative error = 1.5822046073168155916309784251638e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.13
y[1] (analytic) = 0.55468679914097190450250402743983
y[1] (numeric) = 0.55468679914097199219044966705294
absolute error = 8.768794563961311e-17
relative error = 1.5808551019316306922570152746113e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.131
y[1] (analytic) = 0.55530210530713575589005559862598
y[1] (numeric) = 0.55530210530713584360047324529629
absolute error = 8.771041764667031e-17
relative error = 1.5795081057392708497103557384072e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.132
y[1] (analytic) = 0.55591719502994611705048123291733
y[1] (numeric) = 0.55591719502994620478330999708999
absolute error = 8.773282876417266e-17
relative error = 1.5781636104896282760159406825996e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.133
y[1] (analytic) = 0.55653206748160045791360627413253
y[1] (numeric) = 0.55653206748160054566878522737124
absolute error = 8.775517895323871e-17
relative error = 1.5768216079685289572977786710714e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.134
y[1] (analytic) = 0.55714672183417487358270771533397
y[1] (numeric) = 0.55714672183417496136017589039235
absolute error = 8.777746817505838e-17
relative error = 1.5754820899975398522438437795814e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.135
y[1] (analytic) = 0.55776115725962512530983682935445
y[1] (numeric) = 0.55776115725962521310953322024732
absolute error = 8.779969639089287e-17
relative error = 1.5741450484337708990813124431215e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.136
y[1] (analytic) = 0.55837537292978768192990852529481
y[1] (numeric) = 0.55837537292978776975177208736958
absolute error = 8.782186356207477e-17
relative error = 1.5728104751696819002556286005400e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.137
y[1] (analytic) = 0.55898936801638076175230260708835
y[1] (numeric) = 0.55898936801638084959627225709646
absolute error = 8.784396965000811e-17
relative error = 1.5714783621328895961237717431345e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.138
y[1] (analytic) = 0.55960314169100537490872131449626
y[1] (numeric) = 0.55960314169100546277473593066467
absolute error = 8.786601461616841e-17
relative error = 1.5701487012859759984896908976096e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.139
y[1] (analytic) = 0.56021669312514636615604673263638
y[1] (numeric) = 0.56021669312514645404404515473913
absolute error = 8.788799842210275e-17
relative error = 1.5688214846262983314056377627916e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.14
y[1] (analytic) = 0.56083002149017345813294086335604
y[1] (numeric) = 0.56083002149017354604286189278584
absolute error = 8.790992102942980e-17
relative error = 1.5674967041857994971657539367305e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.141
y[1] (analytic) = 0.56144312595734229506893036043987
y[1] (numeric) = 0.56144312595734238300071276027975
absolute error = 8.793178239983988e-17
relative error = 1.5661743520308203103363668595511e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.142
y[1] (analytic) = 0.56205600569779548694471714079631
y[1] (numeric) = 0.56205600569779557489829963589135
absolute error = 8.795358249509504e-17
relative error = 1.5648544202619133084713598281955e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.143
y[1] (analytic) = 0.56266865988256365410245529539332
y[1] (numeric) = 0.56266865988256374207777657242241
absolute error = 8.797532127702909e-17
relative error = 1.5635369010136568834863042228843e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.144
y[1] (analytic) = 0.56328108768256647230473393681546
y[1] (numeric) = 0.56328108768256656030173264436308
absolute error = 8.799699870754762e-17
relative error = 1.5622217864544704414373009598220e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.145
y[1] (analytic) = 0.56389328826861371824100483489204
y[1] (numeric) = 0.56389328826861380625961958352023
absolute error = 8.801861474862819e-17
relative error = 1.5609090687864337750322214215174e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.146
y[1] (analytic) = 0.564505260811406315480192907902
y[1] (numeric) = 0.56450526081140640352036227022218
absolute error = 8.804016936232018e-17
relative error = 1.5595987402451015824904300695306e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.147
y[1] (analytic) = 0.56511700448153738086822685439317
y[1] (numeric) = 0.56511700448153746892988936513821
absolute error = 8.806166251074504e-17
relative error = 1.5582907930993262642294841254419e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.148
y[1] (analytic) = 0.56572851844949327136922642966797
y[1] (numeric) = 0.5657285184494933594523205857642
absolute error = 8.808309415609623e-17
relative error = 1.5569852196510763845663232121752e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.149
y[1] (analytic) = 0.56633980188565463134908209147996
y[1] (numeric) = 0.56633980188565471945354635211926
absolute error = 8.810446426063930e-17
relative error = 1.5556820122352587770135965989536e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.15
y[1] (analytic) = 0.56695085396029744030016196146151
y[1] (numeric) = 0.5669508539602975284259347481734
absolute error = 8.812577278671189e-17
relative error = 1.5543811632195403852924216540799e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.151
y[1] (analytic) = 0.5675616738435940610058802722603
y[1] (numeric) = 0.56756167384359414915289996898426
absolute error = 8.814701969672396e-17
relative error = 1.5530826650041753040489268985372e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.152
y[1] (analytic) = 0.56817226070561428814386069530533
y[1] (numeric) = 0.56817226070561437631206564846296
absolute error = 8.816820495315763e-17
relative error = 1.5517865100218260679951239581366e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.153
y[1] (analytic) = 0.56878261371632639732642717054874
y[1] (numeric) = 0.56878261371632648551575568911608
absolute error = 8.818932851856734e-17
relative error = 1.5504926907373917155289800977857e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.154
y[1] (analytic) = 0.56939273204559819457715408744401
y[1] (numeric) = 0.56939273204559828278754444302394
absolute error = 8.821039035557993e-17
relative error = 1.5492011996478355509801229043724e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=286.1MB, alloc=4.6MB, time=36.31
NO POLE
x[1] = 2.155
y[1] (analytic) = 0.57000261486319806624220689582118
y[1] (numeric) = 0.57000261486319815447359732271581
absolute error = 8.823139042689463e-17
relative error = 1.5479120292820124323337165120526e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.156
y[1] (analytic) = 0.57061226133879602933520345620823
y[1] (numeric) = 0.57061226133879611758753215149139
absolute error = 8.825232869528316e-17
relative error = 1.5466251722004990930059871466576e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.157
y[1] (analytic) = 0.57122167064196478231432567152653
y[1] (numeric) = 0.57122167064196487058753079511623
absolute error = 8.827320512358970e-17
relative error = 1.5453406209954232734923873717941e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.158
y[1] (analytic) = 0.57183084194218075629041017595648
y[1] (numeric) = 0.57183084194218084458442985068757
absolute error = 8.829401967473109e-17
relative error = 1.5440583682902979673453995658814e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.159
y[1] (analytic) = 0.57243977440882516666474609213081
y[1] (numeric) = 0.57243977440882525497951840382752
absolute error = 8.831477231169671e-17
relative error = 1.5427784067398511353926446834452e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.16
y[1] (analytic) = 0.57304846721118506519530710466508
y[1] (numeric) = 0.57304846721118515353077010221381
absolute error = 8.833546299754873e-17
relative error = 1.5415007290298629627801010399322e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.161
y[1] (analytic) = 0.57365691951845439249014433638359
y[1] (numeric) = 0.57365691951845448084623603180553
absolute error = 8.835609169542194e-17
relative error = 1.5402253278769968315114111536051e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.162
y[1] (analytic) = 0.57426513049973503092666575343918
y[1] (numeric) = 0.57426513049973511930332412196322
absolute error = 8.837665836852404e-17
relative error = 1.5389521960286393790320643755968e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.163
y[1] (analytic) = 0.57487309932403785799552706686553
y[1] (numeric) = 0.57487309932403794639269004700098
absolute error = 8.839716298013545e-17
relative error = 1.5376813262627332241164805775446e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.164
y[1] (analytic) = 0.57548082516028380006785834093395
y[1] (numeric) = 0.5754808251602838884854638345435
absolute error = 8.841760549360955e-17
relative error = 1.5364127113876182271515838256093e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.165
y[1] (analytic) = 0.57608830717730488658454976302167
y[1] (numeric) = 0.57608830717730497502253563539436
absolute error = 8.843798587237269e-17
relative error = 1.5351463442418697651912401914551e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.166
y[1] (analytic) = 0.57669554454384530466631927553077
y[1] (numeric) = 0.57669554454384539312462335545492
absolute error = 8.845830407992415e-17
relative error = 1.5338822176941371650270328886479e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.167
y[1] (analytic) = 0.57730253642856245414328401773007
y[1] (numeric) = 0.57730253642856254262184409756638
absolute error = 8.847856007983631e-17
relative error = 1.5326203246429867967895517900664e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.168
y[1] (analytic) = 0.57790928200002800300275677422758
y[1] (numeric) = 0.57790928200002809150151060998222
absolute error = 8.849875383575464e-17
relative error = 1.5313606580167430453267437596708e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.169
y[1] (analytic) = 0.5785157804267289432539878771179
y[1] (numeric) = 0.5785157804267290317728731885157
absolute error = 8.851888531139780e-17
relative error = 1.5301032107733321877532226980163e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.17
y[1] (analytic) = 0.57912203087706864720857226069039
y[1] (numeric) = 0.57912203087706873574752673124797
absolute error = 8.853895447055758e-17
relative error = 1.5288479759001244936058017421236e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.171
y[1] (analytic) = 0.57972803251936792417524062092914
y[1] (numeric) = 0.57972803251936801273420189802825
absolute error = 8.855896127709911e-17
relative error = 1.5275949464137819778576553673252e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.172
y[1] (analytic) = 0.58033378452186607756775288688801
y[1] (numeric) = 0.58033378452186616614665858184882
absolute error = 8.857890569496081e-17
relative error = 1.5263441153601026327607381183301e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.173
y[1] (analytic) = 0.58093928605272196242461146738182
y[1] (numeric) = 0.58093928605272205102339915553627
absolute error = 8.859878768815445e-17
relative error = 1.5250954758138675331903725460209e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.174
y[1] (analytic) = 0.58154453628001504333931099430138
y[1] (numeric) = 0.58154453628001513195791821506664
absolute error = 8.861860722076526e-17
relative error = 1.5238490208786897627666594770580e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.175
y[1] (analytic) = 0.58214953437174645279984054323576
y[1] (numeric) = 0.58214953437174654143820480018762
absolute error = 8.863836425695186e-17
relative error = 1.5226047436868611965911132135802e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.176
y[1] (analytic) = 0.58275427949584004993615357297009
y[1] (numeric) = 0.58275427949584013859421233391661
absolute error = 8.865805876094652e-17
relative error = 1.5213626373992059076772209190278e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.177
y[1] (analytic) = 0.58335877082014347967432008782496
y[1] (numeric) = 0.58335877082014356835201078487988
absolute error = 8.867769069705492e-17
relative error = 1.5201226952049259210120834694378e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.178
y[1] (analytic) = 0.5839630075124292322960747907109
y[1] (numeric) = 0.58396300751242932099333482036739
absolute error = 8.869726002965649e-17
relative error = 1.5188849103214578649806201528623e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.179
y[1] (analytic) = 0.58456698874039570340247426019558
y[1] (numeric) = 0.58456698874039579211924098339989
absolute error = 8.871676672320431e-17
relative error = 1.5176492759943229924265368102195e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.18
y[1] (analytic) = 0.58517071367166825428037545181639
y[1] (numeric) = 0.58517071367166834301658619404155
absolute error = 8.873621074222516e-17
relative error = 1.5164157854969807017529920175305e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.181
y[1] (analytic) = 0.58577418147380027267044709232396
y[1] (numeric) = 0.58577418147380036142603914364362
absolute error = 8.875559205131966e-17
relative error = 1.5151844321306845084564509740497e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=289.9MB, alloc=4.6MB, time=36.80
x[1] = 2.182
y[1] (analytic) = 0.58637739131427423393542480551088
y[1] (numeric) = 0.58637739131427432271033542067305
absolute error = 8.877491061516217e-17
relative error = 1.5139552092243348216140147733991e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.183
y[1] (analytic) = 0.58698034236050276262732007976527
y[1] (numeric) = 0.58698034236050285142148647826625
absolute error = 8.879416639850098e-17
relative error = 1.5127281101343375775139099863641e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.184
y[1] (analytic) = 0.58758303377982969445229246049446
y[1] (numeric) = 0.58758303377982978326565182665283
absolute error = 8.881335936615837e-17
relative error = 1.5115031282444615403614578688258e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.185
y[1] (analytic) = 0.58818546473953113863189362508807
y[1] (numeric) = 0.58818546473953122746438310811859
absolute error = 8.883248948303052e-17
relative error = 1.5102802569656939395443670254593e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.186
y[1] (analytic) = 0.5887876344068165406593912741346
y[1] (numeric) = 0.58878763440681662951094798822226
absolute error = 8.885155671408766e-17
relative error = 1.5090594897361010790799542950938e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.187
y[1] (analytic) = 0.58938954194882974544988005017311
y[1] (numeric) = 0.58938954194882983432044107454725
absolute error = 8.887056102437414e-17
relative error = 1.5078408200206884542609007299219e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.188
y[1] (analytic) = 0.58999118653265006088288597435109
y[1] (numeric) = 0.58999118653265014977238835335954
absolute error = 8.888950237900845e-17
relative error = 1.5066242413112608874430286800196e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.189
y[1] (analytic) = 0.5905925673252933217361701719731
y[1] (numeric) = 0.59059256732529341064455091515631
absolute error = 8.890838074318321e-17
relative error = 1.5054097471262830214103988835802e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.19
y[1] (analytic) = 0.59119368349371295400943694006314
y[1] (numeric) = 0.59119368349371304293663302222851
absolute error = 8.892719608216537e-17
relative error = 1.5041973310107442272747942094602e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.191
y[1] (analytic) = 0.59179453420480103963665049372894
y[1] (numeric) = 0.591794534204801128582598855025
absolute error = 8.894594836129606e-17
relative error = 1.5029869865360184327033122056732e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.192
y[1] (analytic) = 0.59239511862538938158566401330656
y[1] (numeric) = 0.59239511862538947055030155929744
absolute error = 8.896463754599088e-17
relative error = 1.5017787072997322421608858140417e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.193
y[1] (analytic) = 0.59299543592225056934386390098477
y[1] (numeric) = 0.59299543592225065832712750272446
absolute error = 8.898326360173969e-17
relative error = 1.5005724869256254385686867379249e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.194
y[1] (analytic) = 0.59359548526209904478853144385549
y[1] (numeric) = 0.59359548526209913379035793796241
absolute error = 8.900182649410692e-17
relative error = 1.4993683190634211036616818065228e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.195
y[1] (analytic) = 0.59419526581159216844062337011734
y[1] (numeric) = 0.59419526581159225746094955884868
absolute error = 8.902032618873134e-17
relative error = 1.4981661973886874497003475366537e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.196
y[1] (analytic) = 0.59479477673733128610067207646697
y[1] (numeric) = 0.59479477673733137513943472779336
absolute error = 8.903876265132639e-17
relative error = 1.4969661156027099147446556360104e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.197
y[1] (analytic) = 0.59539401720586279586550559755715
y[1] (numeric) = 0.59539401720586288492264144523722
absolute error = 8.905713584768007e-17
relative error = 1.4957680674323566534462353370856e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.198
y[1] (analytic) = 0.59599298638367921552448668277412
y[1] (numeric) = 0.5959929863836793045999324264291
absolute error = 8.907544574365498e-17
relative error = 1.4945720466299473692198707569732e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.199
y[1] (analytic) = 0.59659168343722025033396964149711
y[1] (numeric) = 0.59659168343722033942766194668559
absolute error = 8.909369230518848e-17
relative error = 1.4933780469731249613467300551548e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2
y[1] (analytic) = 0.59719010753287386116867291544788
y[1] (numeric) = 0.59719010753287395028054841374043
absolute error = 8.911187549829255e-17
relative error = 1.4921860622647229342312586441223e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.201
y[1] (analytic) = 0.59778825783697733304866463571832
y[1] (numeric) = 0.59778825783697742217865992477245
absolute error = 8.912999528905413e-17
relative error = 1.4909960863326416465141587123165e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.202
y[1] (analytic) = 0.59838613351581834404065772258421
y[1] (numeric) = 0.59838613351581843318870936621908
absolute error = 8.914805164363487e-17
relative error = 1.4898081130297154566559368203027e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.203
y[1] (analytic) = 0.59898373373563603453231038826822
y[1] (numeric) = 0.59898373373563612369835491653956
absolute error = 8.916604452827134e-17
relative error = 1.4886221362335883582068936340496e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.204
y[1] (analytic) = 0.59958105766262207687822720641283
y[1] (numeric) = 0.59958105766262216606220111568793
absolute error = 8.918397390927510e-17
relative error = 1.4874381498465880384222113631790e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.205
y[1] (analytic) = 0.60017810446292174541635521715998
y[1] (numeric) = 0.60017810446292183461819497019262
absolute error = 8.920183975303264e-17
relative error = 1.4862561477955985377411787758565e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.206
y[1] (analytic) = 0.60077487330263498685346884341198
y[1] (numeric) = 0.60077487330263507607311086941747
absolute error = 8.921964202600549e-17
relative error = 1.4850761240319365133088620831611e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.207
y[1] (analytic) = 0.60137136334781749101843670206906
y[1] (numeric) = 0.6013713633478175802558173967994
absolute error = 8.923738069473034e-17
relative error = 1.4838980725312284208070844318918e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.208
y[1] (analytic) = 0.60196757376448176198196270380294
y[1] (numeric) = 0.60196757376448185123701842962187
absolute error = 8.925505572581893e-17
relative error = 1.4827219872932846212043924460311e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.209
y[1] (analytic) = 0.60256350371859818954149314623349
y[1] (numeric) = 0.60256350371859827881416023219169
absolute error = 8.927266708595820e-17
relative error = 1.4815478623419785655388173930805e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=293.7MB, alloc=4.6MB, time=37.29
NO POLE
x[1] = 2.21
y[1] (analytic) = 0.60315915237609612106998081823002
y[1] (numeric) = 0.6031591523760962103601955601404
absolute error = 8.929021474191038e-17
relative error = 1.4803756917251257170941352430458e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.211
y[1] (analytic) = 0.60375451890286493372719644745905
y[1] (numeric) = 0.60375451890286502303489510797198
absolute error = 8.930769866051293e-17
relative error = 1.4792054695143607220145227992939e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.212
y[1] (analytic) = 0.60434960246475510703227713924754
y[1] (numeric) = 0.6043496024647551963573959479262
absolute error = 8.932511880867866e-17
relative error = 1.4780371898050183007392509184023e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.213
y[1] (analytic) = 0.60494440222757929579620077232761
y[1] (numeric) = 0.60494440222757938513867592572337
absolute error = 8.934247515339576e-17
relative error = 1.4768708467160133712956168540040e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.214
y[1] (analytic) = 0.6055389173571134034128746360741
y[1] (numeric) = 0.60553891735711349277264229780197
absolute error = 8.935976766172787e-17
relative error = 1.4757064343897225564724656542288e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.215
y[1] (analytic) = 0.60613314701909765550752591444285
y[1] (numeric) = 0.60613314701909774488452221525694
absolute error = 8.937699630081409e-17
relative error = 1.4745439469918654154540764645000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.216
y[1] (analytic) = 0.60672709037923767394108094396511
y[1] (numeric) = 0.60672709037923776333524198183412
absolute error = 8.939416103786901e-17
relative error = 1.4733833787113867202370062967750e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.217
y[1] (analytic) = 0.6073207466032055511692194968539
y[1] (numeric) = 0.60732074660320564058048133703673
absolute error = 8.941126184018283e-17
relative error = 1.4722247237603409221577812444618e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.218
y[1] (analytic) = 0.60791411485664092495478966553199
y[1] (numeric) = 0.60791411485664101438308834065341
absolute error = 8.942829867512142e-17
relative error = 1.4710679763737763259890320256632e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.219
y[1] (analytic) = 0.60850719430515205343226825169944
y[1] (numeric) = 0.60850719430515214287753976182569
absolute error = 8.944527151012625e-17
relative error = 1.4699131308096178231319164813699e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.22
y[1] (analytic) = 0.60909998411431689052295089142194
y[1] (numeric) = 0.60909998411431697998513120413647
absolute error = 8.946218031271453e-17
relative error = 1.4687601813485537756052672630735e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.221
y[1] (analytic) = 0.60969248344968416169955547764202
y[1] (numeric) = 0.60969248344968425117858052812126
absolute error = 8.947902505047924e-17
relative error = 1.4676091222939217739029224527354e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.222
y[1] (analytic) = 0.61028469147677444009892177299255
y[1] (numeric) = 0.61028469147677452959472746408171
absolute error = 8.949580569108916e-17
relative error = 1.4664599479715950786947542853777e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.223
y[1] (analytic) = 0.61087660736108122298148943882792
y[1] (numeric) = 0.61087660736108131249401164111692
absolute error = 8.951252220228900e-17
relative error = 1.4653126527298713785942166770172e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.224
y[1] (analytic) = 0.61146823026807200853623604098444
y[1] (numeric) = 0.61146823026807209806541059288372
absolute error = 8.952917455189928e-17
relative error = 1.4641672309393581242465324848423e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.225
y[1] (analytic) = 0.61205955936318937302975592893649
y[1] (numeric) = 0.61205955936318946257551863675304
absolute error = 8.954576270781655e-17
relative error = 1.4630236769928641013599030041256e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.226
y[1] (analytic) = 0.61265059381185204829816022273346
y[1] (numeric) = 0.61265059381185213786044686074681
absolute error = 8.956228663801335e-17
relative error = 1.4618819853052874068787875231000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.227
y[1] (analytic) = 0.61324133277945599958047748138141
y[1] (numeric) = 0.61324133277945608915922379191968
absolute error = 8.957874631053827e-17
relative error = 1.4607421503135057228954853114934e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.228
y[1] (analytic) = 0.61383177543137550369223396717692
y[1] (numeric) = 0.61383177543137559328737566069291
absolute error = 8.959514169351599e-17
relative error = 1.4596041664762669177479726234869e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.229
y[1] (analytic) = 0.61442192093296422753789176290793
y[1] (numeric) = 0.61442192093296431714936451805528
absolute error = 8.961147275514735e-17
relative error = 1.4584680282740807857450140071804e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.23
y[1] (analytic) = 0.6150117684495563069608223428092
y[1] (numeric) = 0.61501176844955639658856180651856
absolute error = 8.962773946370936e-17
relative error = 1.4573337302091104543510993234873e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.231
y[1] (analytic) = 0.61560131714646742592949254369893
y[1] (numeric) = 0.61560131714646751557343433125429
absolute error = 8.964394178755536e-17
relative error = 1.4562012668050668722266486942098e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.232
y[1] (analytic) = 0.61619056618899589605853922982989
y[1] (numeric) = 0.61619056618899598571861892494474
absolute error = 8.966007969511485e-17
relative error = 1.4550706326070985675589779738416e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.233
y[1] (analytic) = 0.61677951474242373646340829366188
y[1] (numeric) = 0.61677951474242382613956144855562
absolute error = 8.967615315489374e-17
relative error = 1.4539418221816888681154448668074e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.234
y[1] (analytic) = 0.61736816197201775394723298500741
y[1] (numeric) = 0.61736816197201784363939512048176
absolute error = 8.969216213547435e-17
relative error = 1.4528148301165496805217989257985e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.235
y[1] (analytic) = 0.6179565070430306235186259128155
y[1] (numeric) = 0.61795650704303071322673251833089
absolute error = 8.970810660551539e-17
relative error = 1.4516896510205155735354215773380e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.236
y[1] (analytic) = 0.61854454912070196923905841724369
y[1] (numeric) = 0.6185445491207020589630449509957
absolute error = 8.972398653375201e-17
relative error = 1.4505662795234396181700832958829e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=297.5MB, alloc=4.6MB, time=37.74
NO POLE
x[1] = 2.237
y[1] (analytic) = 0.61913228737025944539850036462547
y[1] (numeric) = 0.61913228737025953513830225362144
absolute error = 8.973980188899597e-17
relative error = 1.4494447102760917804265378508046e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.238
y[1] (analytic) = 0.61971972095691981801799277447093
y[1] (numeric) = 0.61971972095691990777354541460646
absolute error = 8.975555264013553e-17
relative error = 1.4483249379500533950185000215573e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.239
y[1] (analytic) = 0.62030684904589004667782504574168
y[1] (numeric) = 0.62030684904589013644906380187727
absolute error = 8.977123875613559e-17
relative error = 1.4472069572376162900949891551656e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.24
y[1] (analytic) = 0.62089367080236836666998790932111
y[1] (numeric) = 0.62089367080236845645684811535885
absolute error = 8.978686020603774e-17
relative error = 1.4460907628516810560399816023579e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.241
y[1] (analytic) = 0.62148018539154537147357259485567
y[1] (numeric) = 0.6214801853915454612759895538159
absolute error = 8.980241695896023e-17
relative error = 1.4449763495256546247801137643233e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.242
y[1] (analytic) = 0.62206639197860509555178606297465
y[1] (numeric) = 0.62206639197860518536969504707273
absolute error = 8.981790898409808e-17
relative error = 1.4438637120133507006029818178110e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.243
y[1] (analytic) = 0.62265228972872609746925151830605
y[1] (numeric) = 0.62265228972872618730258776902919
absolute error = 8.983333625072314e-17
relative error = 1.4427528450888899720815346259560e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.244
y[1] (analytic) = 0.62323787780708254332826278469437
y[1] (numeric) = 0.62323787780708263317696151287844
absolute error = 8.984869872818407e-17
relative error = 1.4416437435465996250499591279142e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.245
y[1] (analytic) = 0.62382315537884529052266049159437
y[1] (numeric) = 0.62382315537884538038665687750081
absolute error = 8.986399638590644e-17
relative error = 1.4405364022009153671118958630946e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.246
y[1] (analytic) = 0.62440812160918297180799738976388
y[1] (numeric) = 0.62440812160918306168722658315665
absolute error = 8.987922919339277e-17
relative error = 1.4394308158862830643203369591481e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.247
y[1] (analytic) = 0.62499277566326307968665948510924
y[1] (numeric) = 0.62499277566326316958105660533177
absolute error = 8.989439712022253e-17
relative error = 1.4383269794570603124314510127822e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.248
y[1] (analytic) = 0.62557711670625305110660905184971
y[1] (numeric) = 0.62557711670625314101610918790197
absolute error = 8.990950013605226e-17
relative error = 1.4372248877874205006466068516109e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.249
y[1] (analytic) = 0.62616114390332135247241496006434
y[1] (numeric) = 0.62616114390332144239695317067986
absolute error = 8.992453821061552e-17
relative error = 1.4361245357712547200142872940401e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.25
y[1] (analytic) = 0.62674485641963856496723512816485
y[1] (numeric) = 0.62674485641963865490674644188793
absolute error = 8.993951131372308e-17
relative error = 1.4350259183220780721406262172543e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.251
y[1] (analytic) = 0.62732825342037847018441528790569
y[1] (numeric) = 0.62732825342037856013883470316849
absolute error = 8.995441941526280e-17
relative error = 1.4339290303729315820545468994662e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.252
y[1] (analytic) = 0.62791133407071913606736762819362
y[1] (numeric) = 0.62791133407071922603663011339337
absolute error = 8.996926248519975e-17
relative error = 1.4328338668762885028707623853518e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.253
y[1] (analytic) = 0.6284940975358440031563922642002
y[1] (numeric) = 0.62849409753584409314043275777653
absolute error = 8.998404049357633e-17
relative error = 1.4317404228039611649111476677373e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.254
y[1] (analytic) = 0.62907654298094297114110386010833
y[1] (numeric) = 0.62907654298094306113985727062047
absolute error = 8.999875341051214e-17
relative error = 1.4306486931470043915343454650011e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.255
y[1] (analytic) = 0.62965866957121348571712511724046
y[1] (numeric) = 0.62965866957121357573052632344469
absolute error = 9.001340120620423e-17
relative error = 1.4295586729156255091704582106454e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.256
y[1] (analytic) = 0.63024047647186162574570822432455
y[1] (numeric) = 0.6302404764718617157736920752515
absolute error = 9.002798385092695e-17
relative error = 1.4284703571390885325346784621572e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.257
y[1] (analytic) = 0.63082196284810319071494475325052
y[1] (numeric) = 0.63082196284810328075744606828266
absolute error = 9.004250131503214e-17
relative error = 1.4273837408656242932094208843994e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.258
y[1] (analytic) = 0.63140312786516478850122387186118
y[1] (numeric) = 0.6314031278651648785581774408103
absolute error = 9.005695356894912e-17
relative error = 1.4262988191623379207304283094805e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.259
y[1] (analytic) = 0.63198397068828492342959813510368
y[1] (numeric) = 0.6319839706882850135009387182884
absolute error = 9.007134058318472e-17
relative error = 1.4252155871151174906411021904128e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.26
y[1] (analytic) = 0.63256449048271508463171550724418
y[1] (numeric) = 0.63256449048271517471737783556753
absolute error = 9.008566232832335e-17
relative error = 1.4241340398285438318506585174526e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.261
y[1] (analytic) = 0.63314468641372083469997566081978
y[1] (numeric) = 0.63314468641372092479989443584679
absolute error = 9.009991877502701e-17
relative error = 1.4230541724257999062803710792425e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.262
y[1] (analytic) = 0.63372455764658289863656799256812
y[1] (numeric) = 0.63372455764658298875067788660352
absolute error = 9.011410989403540e-17
relative error = 1.4219759800485822881384934058099e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.263
y[1] (analytic) = 0.63430410334659825309604819273868
y[1] (numeric) = 0.63430410334659834322428384890455
absolute error = 9.012823565616587e-17
relative error = 1.4208994578570106302491285741576e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=301.3MB, alloc=4.6MB, time=38.21
x[1] = 2.264
y[1] (analytic) = 0.63488332267908121592010960194963
y[1] (numeric) = 0.63488332267908130606240563426323
absolute error = 9.014229603231360e-17
relative error = 1.4198246010295412730019306018967e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.265
y[1] (analytic) = 0.63546221480936453596320498911388
y[1] (numeric) = 0.63546221480936462611949598256535
absolute error = 9.015629099345147e-17
relative error = 1.4187514047628764715771900608075e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.266
y[1] (analytic) = 0.63604077890280048320767378491491
y[1] (numeric) = 0.63604077890280057337789429554515
absolute error = 9.017022051063024e-17
relative error = 1.4176798642718790170110103175081e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.267
y[1] (analytic) = 0.63661901412476193916702920787197
y[1] (numeric) = 0.63661901412476202935111376285053
absolute error = 9.018408455497856e-17
relative error = 1.4166099747894846767833226121033e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.268
y[1] (analytic) = 0.63719691964064348757605912419302
y[1] (numeric) = 0.63719691964064357777394222189599
absolute error = 9.019788309770297e-17
relative error = 1.4155417315666149796303551752080e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.269
y[1] (analytic) = 0.63777449461586250536639388837468
y[1] (numeric) = 0.63777449461586259557800999846269
absolute error = 9.021161611008801e-17
relative error = 1.4144751298720922237735614284893e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.27
y[1] (analytic) = 0.63835173821586025392619381887266
y[1] (numeric) = 0.63835173821586034415147738236889
absolute error = 9.022528356349623e-17
relative error = 1.4134101649925534045978330533183e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.271
y[1] (analytic) = 0.6389286496061029706426083721336
y[1] (numeric) = 0.63892864960610306088149380150178
absolute error = 9.023888542936818e-17
relative error = 1.4123468322323643205523037306194e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.272
y[1] (analytic) = 0.63950522795208296072565848885112
y[1] (numeric) = 0.63950522795208305097808016807369
absolute error = 9.025242167922257e-17
relative error = 1.4112851269135368270259238414669e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.273
y[1] (analytic) = 0.64008147241931968931219299848729
y[1] (numeric) = 0.64008147241931977957808528314354
absolute error = 9.026589228465625e-17
relative error = 1.4102250443756437501320636232606e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.274
y[1] (analytic) = 0.64065738217336087384856938188419
y[1] (numeric) = 0.64065738217336096412786659922842
absolute error = 9.027929721734423e-17
relative error = 1.4091665799757349089551373711091e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.275
y[1] (analytic) = 0.64123295637978357675070860718192
y[1] (numeric) = 0.64123295637978366704334505622163
absolute error = 9.029263644903971e-17
relative error = 1.4081097290882537712696595551595e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.276
y[1] (analytic) = 0.64180819420419529834017317125886
y[1] (numeric) = 0.6418081942041953886460831228331
absolute error = 9.030590995157424e-17
relative error = 1.4070544871049566083051972394693e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.277
y[1] (analytic) = 0.64238309481223507005491689751915
y[1] (numeric) = 0.64238309481223516037403459437677
absolute error = 9.031911769685762e-17
relative error = 1.4060008494348280615897244711681e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.278
y[1] (analytic) = 0.64295765736957454793335446107009
y[1] (numeric) = 0.64295765736957463826561411794814
absolute error = 9.033225965687805e-17
relative error = 1.4049488115040010762620176288850e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.279
y[1] (analytic) = 0.64353188104191910637039803416262
y[1] (numeric) = 0.64353188104191919671573383786473
absolute error = 9.034533580370211e-17
relative error = 1.4038983687556746469051819833984e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.28
y[1] (analytic) = 0.64410576499500893214410786820847
y[1] (numeric) = 0.64410576499500902250245397768328
absolute error = 9.035834610947481e-17
relative error = 1.4028495166500331154918413037647e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.281
y[1] (analytic) = 0.64467930839462011871160305374187
y[1] (numeric) = 0.64467930839462020908289360016153
absolute error = 9.037129054641966e-17
relative error = 1.4018022506641662360174810810840e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.282
y[1] (analytic) = 0.64525251040656576077287812636078
y[1] (numeric) = 0.64525251040656585115704721319949
absolute error = 9.038416908683871e-17
relative error = 1.4007565662919892259975755971521e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.283
y[1] (analytic) = 0.64582537019669704910117061496453
y[1] (numeric) = 0.64582537019669713949815231807707
absolute error = 9.039698170311254e-17
relative error = 1.3997124590441624950656089993633e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.284
y[1] (analytic) = 0.64639788693090436563852405850115
y[1] (numeric) = 0.64639788693090445604825242620154
absolute error = 9.040972836770039e-17
relative error = 1.3986699244480139918713149422705e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.285
y[1] (analytic) = 0.6469700597751183788551904489516
y[1] (numeric) = 0.64697005977511846927759950209171
absolute error = 9.042240905314011e-17
relative error = 1.3976289580474592067593416043001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.286
y[1] (analytic) = 0.64754188789531113937151549140707
y[1] (numeric) = 0.64754188789531122980653922345532
absolute error = 9.043502373204825e-17
relative error = 1.3965895554029237863308293536854e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.287
y[1] (analytic) = 0.64811337045749717584094950684431
y[1] (numeric) = 0.64811337045749726628852188396445
absolute error = 9.044757237712014e-17
relative error = 1.3955517120912664291715564244922e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.288
y[1] (analytic) = 0.64868450662773459109282623957012
y[1] (numeric) = 0.64868450662773468155288120070001
absolute error = 9.046005496112989e-17
relative error = 1.3945154237057009817457586493524e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.289
y[1] (analytic) = 0.64925529557212615853355126929244
y[1] (numeric) = 0.64925529557212624900602272622282
absolute error = 9.047247145693038e-17
relative error = 1.3934806858557188173731709989599e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.29
y[1] (analytic) = 0.64982573645682041880484116738195
y[1] (numeric) = 0.64982573645682050928966300483533
absolute error = 9.048482183745338e-17
relative error = 1.3924474941670136507964855296344e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.291
y[1] (analytic) = 0.65039582844801277669765397811655
y[1] (numeric) = 0.65039582844801286719476005382611
memory used=305.1MB, alloc=4.6MB, time=38.67
absolute error = 9.049710607570956e-17
relative error = 1.3914158442814050831555721242075e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.292
y[1] (analytic) = 0.65096557071194659832045104855068
y[1] (numeric) = 0.65096557071194668882977519333925
absolute error = 9.050932414478857e-17
relative error = 1.3903857318567636501133021986837e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.293
y[1] (analytic) = 0.65153496241491430852042967512523
y[1] (numeric) = 0.65153496241491439904190569298422
absolute error = 9.052147601785899e-17
relative error = 1.3893571525669342940874711526899e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.294
y[1] (analytic) = 0.65210400272325848855636548123017
y[1] (numeric) = 0.65210400272325857908992714939867
absolute error = 9.053356166816850e-17
relative error = 1.3883301021016636372930068140339e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.295
y[1] (analytic) = 0.65267269080337297402170288765479
y[1] (numeric) = 0.65267269080337306456728395669858
absolute error = 9.054558106904379e-17
relative error = 1.3873045761665236778501975290625e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.296
y[1] (analytic) = 0.65324102582170395301653148720687
y[1] (numeric) = 0.65324102582170404357406568109758
absolute error = 9.055753419389071e-17
relative error = 1.3862805704828395847371011565610e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.297
y[1] (analytic) = 0.653809006944751064567085585757
y[1] (numeric) = 0.65380900694475115513650660195124
absolute error = 9.056942101619424e-17
relative error = 1.3852580807876151425722984700891e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.298
y[1] (analytic) = 0.65437663333906849729140362456474
y[1] (numeric) = 0.65437663333906858787264513408327
absolute error = 9.058124150951853e-17
relative error = 1.3842371028334596807756927893032e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.299
y[1] (analytic) = 0.65494390417126608830978365297288
y[1] (numeric) = 0.65494390417126617890277930047992
absolute error = 9.059299564750704e-17
relative error = 1.3832176323885169359782275295984e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3
y[1] (analytic) = 0.65551081860801042239867047641487
y[1] (numeric) = 0.65551081860801051300335388029732
absolute error = 9.060468340388245e-17
relative error = 1.3821996652363908015631270633651e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.301
y[1] (analytic) = 0.65607737581602593138660956216782
y[1] (numeric) = 0.65607737581602602200291431461457
absolute error = 9.061630475244675e-17
relative error = 1.3811831971760742322639289650217e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.302
y[1] (analytic) = 0.65664357496209599379090224440309
y[1] (numeric) = 0.65664357496209608441876191148442
absolute error = 9.062785966708133e-17
relative error = 1.3801682240218785433679522508512e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.303
y[1] (analytic) = 0.65720941521306403469359623083665
y[1] (numeric) = 0.65720941521306412533294435258361
absolute error = 9.063934812174696e-17
relative error = 1.3791547416033614282400133534645e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.304
y[1] (analytic) = 0.65777489573583462585544487566402
y[1] (numeric) = 0.65777489573583471650621496614784
absolute error = 9.065077009048382e-17
relative error = 1.3781427457652561341588253602988e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.305
y[1] (analytic) = 0.65834001569737458606646814748055
y[1] (numeric) = 0.6583400156973746767285936948922
absolute error = 9.066212554741165e-17
relative error = 1.3771322323674028526034395880512e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.306
y[1] (analytic) = 0.65890477426471408173174768653831
y[1] (numeric) = 0.65890477426471417240516215326794
absolute error = 9.067341446672963e-17
relative error = 1.3761231972846763916162341048786e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.307
y[1] (analytic) = 0.65946917060494772769108781297471
y[1] (numeric) = 0.65946917060494781837572463569124
absolute error = 9.068463682271653e-17
relative error = 1.3751156364069183407666360580993e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.308
y[1] (analytic) = 0.66003320388523568827117381656949
y[1] (numeric) = 0.6600332038852357789669664063002
absolute error = 9.069579258973071e-17
relative error = 1.3741095456388673383244741739790e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.309
y[1] (analytic) = 0.66059687327280477856885832914311
y[1] (numeric) = 0.66059687327280486927574007135335
absolute error = 9.070688174221024e-17
relative error = 1.3731049209000915390376678281245e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.31
y[1] (analytic) = 0.66116017793494956596420605290459
y[1] (numeric) = 0.66116017793494965668211030757731
absolute error = 9.071790425467272e-17
relative error = 1.3721017581249169167404117454088e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.311
y[1] (analytic) = 0.66172311703903347186192659188823
y[1] (numeric) = 0.66172311703903356259078669360389
absolute error = 9.072886010171566e-17
relative error = 1.3711000532623644228090303317372e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.312
y[1] (analytic) = 0.66228568975248987365982460909216
y[1] (numeric) = 0.66228568975248996439957386710833
absolute error = 9.073974925801617e-17
relative error = 1.3700998022760770735662447411269e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.313
y[1] (analytic) = 0.6628478952428232069428960090407
y[1] (numeric) = 0.66284789524282329769346770737198
absolute error = 9.075057169833128e-17
relative error = 1.3691010011442569403851271056618e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.314
y[1] (analytic) = 0.66340973267761006790169832424674
y[1] (numeric) = 0.6634097326776101586630257217445
absolute error = 9.076132739749776e-17
relative error = 1.3681036458595949503383511236174e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.315
y[1] (analytic) = 0.66397120122450031597362296444188
y[1] (numeric) = 0.66397120122450040674563929487421
absolute error = 9.077201633043233e-17
relative error = 1.3671077324292069440217480798656e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.316
y[1] (analytic) = 0.66453230005121817670569646947942
y[1] (numeric) = 0.66453230005121826748833494161102
absolute error = 9.078263847213160e-17
relative error = 1.3661132568745660215604327514233e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.317
y[1] (analytic) = 0.66509302832556334483753739049284
y[1] (numeric) = 0.66509302832556343563073118816498
absolute error = 9.079319379767214e-17
relative error = 1.3651202152314372127562196371649e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.318
y[1] (analytic) = 0.6656533852154120876030949092158
y[1] (numeric) = 0.66565338521541217840677719142634
absolute error = 9.080368228221054e-17
relative error = 1.3641286035498123542934289983168e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=309.0MB, alloc=4.6MB, time=39.14
NO POLE
x[1] = 2.319
y[1] (analytic) = 0.66621336988871834824979479233694
y[1] (numeric) = 0.6662133698887184390638986933203
absolute error = 9.081410390098336e-17
relative error = 1.3631384178938436715963662007874e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.32
y[1] (analytic) = 0.66677298151351484977371776637523
y[1] (numeric) = 0.66677298151351494059817639568257
absolute error = 9.082445862930734e-17
relative error = 1.3621496543417816218941217535867e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.321
y[1] (analytic) = 0.6673322192579141988694348888217
y[1] (numeric) = 0.66733221925791428970418133140095
absolute error = 9.083474644257925e-17
relative error = 1.3611623089859076825820535213262e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.322
y[1] (analytic) = 0.66789108229010999009312398319859
y[1] (numeric) = 0.66789108229011008093809129947463
absolute error = 9.084496731627604e-17
relative error = 1.3601763779324719961945970201516e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.323
y[1] (analytic) = 0.66844956977837791023759069924207
y[1] (numeric) = 0.66844956977837800109271192519693
absolute error = 9.085512122595486e-17
relative error = 1.3591918573016294105825178802918e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.324
y[1] (analytic) = 0.66900768089107684291781725461722
y[1] (numeric) = 0.6690076808910769337830254018703
absolute error = 9.086520814725308e-17
relative error = 1.3582087432273758666889647737044e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.325
y[1] (analytic) = 0.66956541479664997336566141142635
y[1] (numeric) = 0.6695654147966500642408894673147
absolute error = 9.087522805588835e-17
relative error = 1.3572270318574857291233658343514e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.326
y[1] (analytic) = 0.67012277066362589343232773927481
y[1] (numeric) = 0.67012277066362598431750866693343
absolute error = 9.088518092765862e-17
relative error = 1.3562467193534488600564998553000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.327
y[1] (analytic) = 0.67067974766061970679723271681193
y[1] (numeric) = 0.67067974766061979769229945525411
absolute error = 9.089506673844218e-17
relative error = 1.3552678018904083323742119374572e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.328
y[1] (analytic) = 0.67123634495633413438188472547077
y[1] (numeric) = 0.67123634495633422528677018966848
absolute error = 9.090488546419771e-17
relative error = 1.3542902756570986292239034830056e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.329
y[1] (analytic) = 0.6717925617195606199673994925886
y[1] (numeric) = 0.67179256171956071088203657355293
absolute error = 9.091463708096433e-17
relative error = 1.3533141368557841781064405292872e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.33
y[1] (analytic) = 0.67234839711918043601427104620214
y[1] (numeric) = 0.67234839711918052693859261106375
absolute error = 9.092432156486161e-17
relative error = 1.3523393817021976224767623970372e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.331
y[1] (analytic) = 0.67290385032416578968301775057754
y[1] (numeric) = 0.67290385032416588061695664266714
absolute error = 9.093393889208960e-17
relative error = 1.3513660064254787238567570238491e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.332
y[1] (analytic) = 0.67345892050358092905432249995635
y[1] (numeric) = 0.67345892050358101999781153888526
absolute error = 9.094348903892891e-17
relative error = 1.3503940072681143361061034756873e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.333
y[1] (analytic) = 0.67401360682658324954728565807599
y[1] (numeric) = 0.67401360682658334050025763981669
absolute error = 9.095297198174070e-17
relative error = 1.3494233804858773683908396107475e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.334
y[1] (analytic) = 0.67456790846242440053440884275638
y[1] (numeric) = 0.67456790846242449149679653972316
absolute error = 9.096238769696678e-17
relative error = 1.3484541223477677073620601582929e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.335
y[1] (analytic) = 0.67512182458045139215192716823602
y[1] (numeric) = 0.67512182458045148312366332936561
absolute error = 9.097173616112959e-17
relative error = 1.3474862291359516803184933374110e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.336
y[1] (analytic) = 0.67567535435010770230410707298946
y[1] (numeric) = 0.67567535435010779328512442382169
absolute error = 9.098101735083223e-17
relative error = 1.3465196971457025835592279801773e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.337
y[1] (analytic) = 0.67622849694093438386012637746638
y[1] (numeric) = 0.67622849694093447485035762022499
absolute error = 9.099023124275861e-17
relative error = 1.3455545226853433047974660580946e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.338
y[1] (analytic) = 0.67678125152257117204215273456081
y[1] (numeric) = 0.67678125152257126304153054823407
absolute error = 9.099937781367326e-17
relative error = 1.3445907020761842306105306075691e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.339
y[1] (analytic) = 0.67733361726475759200323615564598
y[1] (numeric) = 0.67733361726475768301169319606765
absolute error = 9.100845704042167e-17
relative error = 1.3436282316524693101717493146322e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.34
y[1] (analytic) = 0.67788559333733406659363081670191
y[1] (numeric) = 0.67788559333733415761109971663198
absolute error = 9.101746889993007e-17
relative error = 1.3426671077613141491522555028308e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.341
y[1] (analytic) = 0.6784371789102430243141608724122
y[1] (numeric) = 0.67843717891024311534057424161775
absolute error = 9.102641336920555e-17
relative error = 1.3417073267626494448143257485260e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.342
y[1] (analytic) = 0.67898837315353000745524453112227
y[1] (numeric) = 0.67898837315353009849053495645847
absolute error = 9.103529042533620e-17
relative error = 1.3407488850291650188328946568524e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.343
y[1] (analytic) = 0.67953917523734478042019017022898
y[1] (numeric) = 0.67953917523734487146429021571993
absolute error = 9.104410004549095e-17
relative error = 1.3397917789462497352227358917191e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.344
y[1] (analytic) = 0.68008958433194243823137779991291
y[1] (numeric) = 0.6800895843319425292842200068327
absolute error = 9.105284220691979e-17
relative error = 1.3388360049119373252121070857412e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.345
y[1] (analytic) = 0.680639599607684515217938713133
y[1] (numeric) = 0.6806395996076846062794556000867
absolute error = 9.106151688695370e-17
relative error = 1.3378815593368482417599794531074e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=312.8MB, alloc=4.6MB, time=39.61
NO POLE
x[1] = 2.346
y[1] (analytic) = 0.6811892202350400938835456914753
y[1] (numeric) = 0.68118922023504018495366975448007
absolute error = 9.107012406300477e-17
relative error = 1.3369284386441346125023828841538e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.347
y[1] (analytic) = 0.68173844538458691395292566978797
y[1] (numeric) = 0.68173844538458700503158938235407
absolute error = 9.107866371256610e-17
relative error = 1.3359766392694222594270327297686e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.348
y[1] (analytic) = 0.6822872742270124815957062975409
y[1] (numeric) = 0.68228727422701257268284211075285
absolute error = 9.108713581321195e-17
relative error = 1.3350261576607566902299440776514e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.349
y[1] (analytic) = 0.68283570593311517882620737152404
y[1] (numeric) = 0.68283570593311526992174771412182
absolute error = 9.109554034259778e-17
relative error = 1.3340769902785477666963891226937e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.35
y[1] (analytic) = 0.683383739673805373077787652842
y[1] (numeric) = 0.68338373967380546418166493130225
absolute error = 9.110387727846025e-17
relative error = 1.3331291335955140816963554013072e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.351
y[1] (analytic) = 0.68393137462010652695035712117607
y[1] (numeric) = 0.68393137462010661806250371979325
absolute error = 9.111214659861718e-17
relative error = 1.3321825840966270462569663437095e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.352
y[1] (analytic) = 0.6844786099431563081296642609681
y[1] (numeric) = 0.68447860994315639925001254193588
absolute error = 9.112034828096778e-17
relative error = 1.3312373382790592171513157241662e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.353
y[1] (analytic) = 0.68502544481420769947696751753658
y[1] (numeric) = 0.68502544481420779060544982102911
absolute error = 9.112848230349253e-17
relative error = 1.3302933926521277903646755451972e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.354
y[1] (analytic) = 0.68557187840463010928769960616066
y[1] (numeric) = 0.68557187840463020042424825041385
absolute error = 9.113654864425319e-17
relative error = 1.3293507437372402887271226565547e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.355
y[1] (analytic) = 0.6861179098859104817177329038676
y[1] (numeric) = 0.68611790988591057286228018526058
absolute error = 9.114454728139298e-17
relative error = 1.3284093880678430142805941638280e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.356
y[1] (analytic) = 0.68666353842965440737585370203177
y[1] (numeric) = 0.6866635384296544985283318951683
absolute error = 9.115247819313653e-17
relative error = 1.3274693221893664245575561172036e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.357
y[1] (analytic) = 0.68720876320758723408105264793943
y[1] (numeric) = 0.68720876320758732524139400572934
absolute error = 9.116034135778991e-17
relative error = 1.3265305426591719607122423654111e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.358
y[1] (analytic) = 0.68775358339155517778323825519484
y[1] (numeric) = 0.68775358339155526895137500893549
absolute error = 9.116813675374065e-17
relative error = 1.3255930460464990106595180692312e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.359
y[1] (analytic) = 0.68829799815352643364597991623987
y[1] (numeric) = 0.68829799815352652482184427569773
absolute error = 9.117586435945786e-17
relative error = 1.3246568289324136044475515586610e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.36
y[1] (analytic) = 0.68884200666559228728988640533256
y[1] (numeric) = 0.68884200666559237847341055882474
absolute error = 9.118352415349218e-17
relative error = 1.3237218879097549124936199062717e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.361
y[1] (analytic) = 0.6893856080999682261952254170794
y[1] (numeric) = 0.68938560809996831738634153155527
absolute error = 9.119111611447587e-17
relative error = 1.3227882195830840554134961655533e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.362
y[1] (analytic) = 0.68992880162899505126238924404413
y[1] (numeric) = 0.68992880162899514246102946516686
absolute error = 9.119864022112273e-17
relative error = 1.3218558205686307193022175663862e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.363
y[1] (analytic) = 0.69047158642513998852881125706103
y[1] (numeric) = 0.6904715864251400797349077092894
absolute error = 9.120609645222837e-17
relative error = 1.3209246874942451194671941726562e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.364
y[1] (analytic) = 0.69101396166099780104093741366699
y[1] (numeric) = 0.69101396166099789225442220033701
absolute error = 9.121348478667002e-17
relative error = 1.3199948169993435611324780654991e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.365
y[1] (analytic) = 0.69155592650929190087985658352996
y[1] (numeric) = 0.69155592650929199210066178693656
absolute error = 9.122080520340660e-17
relative error = 1.3190662057348580434186231897163e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.366
y[1] (analytic) = 0.6920974801428754613391930448977
y[1] (numeric) = 0.6920974801428755525672507263766
absolute error = 9.122805768147890e-17
relative error = 1.3181388503631877169170533712437e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.367
y[1] (analytic) = 0.69263862173473252925386407291762
y[1] (numeric) = 0.69263862173473262048910627292709
absolute error = 9.123524220000947e-17
relative error = 1.3172127475581464095418547574333e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.368
y[1] (analytic) = 0.69317935045797913747830510918631
y[1] (numeric) = 0.69317935045797922872066384738897
absolute error = 9.124235873820266e-17
relative error = 1.3162878940049125895491483316911e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.369
y[1] (analytic) = 0.69371966548586441751276457207933
y[1] (numeric) = 0.69371966548586450876217184742404
absolute error = 9.124940727534471e-17
relative error = 1.3153642863999803107371625857945e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.37
y[1] (analytic) = 0.69425956599177171227626993928634
y[1] (numeric) = 0.69425956599177180353265773009019
absolute error = 9.125638779080385e-17
relative error = 1.3144419214511105581595001396893e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.371
y[1] (analytic) = 0.69479905114921968902486630753597
y[1] (numeric) = 0.6947990511492197802881665715661
absolute error = 9.126330026403013e-17
relative error = 1.3135207958772789620743128203378e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.372
y[1] (analytic) = 0.69533812013186345241372820973739
y[1] (numeric) = 0.69533812013186354368387288429304
absolute error = 9.127014467455565e-17
relative error = 1.3126009064086295352821576412069e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=316.6MB, alloc=4.6MB, time=40.10
x[1] = 2.373
y[1] (analytic) = 0.69587677211349565770174504669605
y[1] (numeric) = 0.69587677211349574897866604869058
absolute error = 9.127692100199453e-17
relative error = 1.3116822497864249165724201996869e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.374
y[1] (analytic) = 0.69641500626804762409718006917577
y[1] (numeric) = 0.69641500626804771538080929521864
absolute error = 9.128362922604287e-17
relative error = 1.3107648227629967288617232862434e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.375
y[1] (analytic) = 0.69695282176959044824300242638147
y[1] (numeric) = 0.69695282176959053953327175286037
absolute error = 9.129026932647890e-17
relative error = 1.3098486221016989208603467759991e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.376
y[1] (analytic) = 0.69749021779233611784049137892762
y[1] (numeric) = 0.69749021779233620913733266209056
absolute error = 9.129684128316294e-17
relative error = 1.3089336445768586278897819764900e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.377
y[1] (analytic) = 0.69802719351063862540971135803499
y[1] (numeric) = 0.69802719351063871671305643407242
absolute error = 9.130334507603743e-17
relative error = 1.3080198869737282898478274194108e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.378
y[1] (analytic) = 0.69856374809899508218545613806581
y[1] (numeric) = 0.69856374809899517349523682319289
absolute error = 9.130978068512708e-17
relative error = 1.3071073460884397351360429438218e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.379
y[1] (analytic) = 0.69909988073204683214725997656498
y[1] (numeric) = 0.6990998807320469234634080671037
absolute error = 9.131614809053872e-17
relative error = 1.3061960187279542121031948311615e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.38
y[1] (analytic) = 0.69963559058458056618207316472125
y[1] (numeric) = 0.69963559058458065750452043718268
absolute error = 9.132244727246143e-17
relative error = 1.3052859017100166796101389675927e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.381
y[1] (analytic) = 0.70017087683152943637819902160183
y[1] (numeric) = 0.7001708768315295277068772327685
absolute error = 9.132867821116667e-17
relative error = 1.3043769918631103346997500251050e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.382
y[1] (analytic) = 0.70070573864797417044908895764395
y[1] (numeric) = 0.70070573864797426178392984465199
absolute error = 9.133484088700804e-17
relative error = 1.3034692860264060955658582735343e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.383
y[1] (analytic) = 0.70124017520914418628559182670849
y[1] (numeric) = 0.70124017520914427762652710713016
absolute error = 9.134093528042167e-17
relative error = 1.3025627810497213270352893336265e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.384
y[1] (analytic) = 0.70177418569041870663525338151883
y[1] (numeric) = 0.70177418569041879798221475344476
absolute error = 9.134696137192593e-17
relative error = 1.3016574737934690921430828156567e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.385
y[1] (analytic) = 0.7023077692673278739072612445152
y[1] (numeric) = 0.70230776926732796526018038663684
absolute error = 9.135291914212164e-17
relative error = 1.3007533611286147818361431478206e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.386
y[1] (analytic) = 0.70284092511555386510163040506093
y[1] (numeric) = 0.70284092511555395646043897675305
absolute error = 9.135880857169212e-17
relative error = 1.2998504399366306929427418325469e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.387
y[1] (analytic) = 0.70337365241093200686122385453554
y[1] (numeric) = 0.70337365241093209822585349593863
absolute error = 9.136462964140309e-17
relative error = 1.2989487071094487073247977858064e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.388
y[1] (analytic) = 0.70390595032945189064520257314456
y[1] (numeric) = 0.70390595032945198201558490524736
absolute error = 9.137038233210280e-17
relative error = 1.2980481595494164805510156285488e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.389
y[1] (analytic) = 0.70443781804725848802249868626816
y[1] (numeric) = 0.70443781804725857939856531099024
absolute error = 9.137606662472208e-17
relative error = 1.2971487941692527206813785181641e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.39
y[1] (analytic) = 0.70496925474065326608390521385946
y[1] (numeric) = 0.70496925474065335746558771413375
absolute error = 9.138168250027429e-17
relative error = 1.2962506078920012781175016940745e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.391
y[1] (analytic) = 0.70550025958609530297137544378985
y[1] (numeric) = 0.70550025958609539435860538364524
absolute error = 9.138722993985539e-17
relative error = 1.2953535976509871709766211547845e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.392
y[1] (analytic) = 0.70603083176020240352312456912412
y[1] (numeric) = 0.70603083176020249491583349376816
absolute error = 9.139270892464404e-17
relative error = 1.2944577603897732608967801468260e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.393
y[1] (analytic) = 0.70656097043975221503312584009298
y[1] (numeric) = 0.70656097043975230643124527599446
absolute error = 9.139811943590148e-17
relative error = 1.2935630930621140374352037238688e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.394
y[1] (analytic) = 0.70709067480168334312359309401403
y[1] (numeric) = 0.70709067480168343452705454898576
absolute error = 9.140346145497173e-17
relative error = 1.2926695926319141629983283456900e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.395
y[1] (analytic) = 0.70761994402309646772904114059815
y[1] (numeric) = 0.70761994402309655913777610387967
absolute error = 9.140873496328152e-17
relative error = 1.2917772560731834153786886559198e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.396
y[1] (analytic) = 0.70814877728125545919051509596341
y[1] (numeric) = 0.70814877728125555060445503830371
absolute error = 9.141393994234030e-17
relative error = 1.2908860803699929890620900508242e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.397
y[1] (analytic) = 0.70867717375358849445857937626668
y[1] (numeric) = 0.70867717375358858587765575000707
absolute error = 9.141907637374039e-17
relative error = 1.2899960625164339946797539448383e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.398
y[1] (analytic) = 0.70920513261768917340365668115394
y[1] (numeric) = 0.70920513261768926482780092031084
absolute error = 9.142414423915690e-17
relative error = 1.2891071995165729278759721870958e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.399
y[1] (analytic) = 0.70973265305131763523230691822288
y[1] (numeric) = 0.7097326530513177266614504385707
absolute error = 9.142914352034782e-17
relative error = 1.2882194883844097591434049758291e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4
y[1] (analytic) = 0.71025973423240167500803564238939
y[1] (numeric) = 0.71025973423240176644210984154337
absolute error = 9.143407419915398e-17
relative error = 1.2873329261438344070215545203003e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=320.4MB, alloc=4.6MB, time=40.58
NO POLE
x[1] = 2.401
y[1] (analytic) = 0.71078637533903786027522120845058
y[1] (numeric) = 0.7107863753390379517141574659498
absolute error = 9.143893625749922e-17
relative error = 1.2864475098285863863264535233831e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.402
y[1] (analytic) = 0.71131257554949264778474946124456
y[1] (numeric) = 0.71131257554949273922847913863481
absolute error = 9.144372967739025e-17
relative error = 1.2855632364822103043667662338426e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.403
y[1] (analytic) = 0.71183833404220350031994441561852
y[1] (numeric) = 0.71183833404220359176839885653535
absolute error = 9.144845444091683e-17
relative error = 1.2846801031580160768011468790062e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.404
y[1] (analytic) = 0.71236364999578000362138300793684
y[1] (numeric) = 0.71236364999578009507449353818853
absolute error = 9.145311053025169e-17
relative error = 1.2837981069190356966727228159689e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.405
y[1] (analytic) = 0.71288852258900498340918163208568
y[1] (numeric) = 0.71288852258900507486687955973633
absolute error = 9.145769792765065e-17
relative error = 1.2829172448379830268733809090960e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.406
y[1] (analytic) = 0.71341295100083562250134180586484
y[1] (numeric) = 0.71341295100083571396355842131739
absolute error = 9.146221661545255e-17
relative error = 1.2820375139972111336197758764605e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.407
y[1] (analytic) = 0.71393693441040457802674194829881
y[1] (numeric) = 0.71393693441040466949340852437823
absolute error = 9.146666657607942e-17
relative error = 1.2811589114886731963712792588060e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.408
y[1] (analytic) = 0.71446047199702109873136188475051
y[1] (numeric) = 0.71446047199702119020240967678687
absolute error = 9.147104779203636e-17
relative error = 1.2802814344138795574812280612181e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.409
y[1] (analytic) = 0.7149835629401721423763263347804
y[1] (numeric) = 0.71498356294017223385168658069207
absolute error = 9.147536024591167e-17
relative error = 1.2794050798838584838380351933364e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.41
y[1] (analytic) = 0.71550620641952349322635327746507
y[1] (numeric) = 0.71550620641952358470595719784194
absolute error = 9.147960392037687e-17
relative error = 1.2785298450191155899260397962034e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.411
y[1] (analytic) = 0.71602840161492087962719273037032
y[1] (numeric) = 0.71602840161492097111097152855697
absolute error = 9.148377879818665e-17
relative error = 1.2776557269495924876357470280742e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.412
y[1] (analytic) = 0.71655014770639109167064112156617
y[1] (numeric) = 0.71655014770639118315852598374517
absolute error = 9.148788486217900e-17
relative error = 1.2767827228146281555431196209382e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.413
y[1] (analytic) = 0.71707144387414309894571607897652
y[1] (numeric) = 0.71707144387414319043763817425175
absolute error = 9.149192209527523e-17
relative error = 1.2759108297629189694180054239071e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.414
y[1] (analytic) = 0.71759228929856916837457610797347
y[1] (numeric) = 0.71759228929856925987046658845341
absolute error = 9.149589048047994e-17
relative error = 1.2750400449524782367529822157355e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.415
y[1] (analytic) = 0.71811268316024598213176927645686
y[1] (numeric) = 0.71811268316024607363155927733791
absolute error = 9.149979000088105e-17
relative error = 1.2741703655505967694615263365850e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.416
y[1] (analytic) = 0.71863262463993575564539467670436
y[1] (numeric) = 0.71863262463993584714901531635432
absolute error = 9.150362063964996e-17
relative error = 1.2733017887338054633907067242678e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.417
y[1] (analytic) = 0.71915211291858735567876008503733
y[1] (numeric) = 0.71915211291858744718614246507869
absolute error = 9.150738238004136e-17
relative error = 1.2724343116878331998164945856319e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.418
y[1] (analytic) = 0.71967114717733741849111889382068
y[1] (numeric) = 0.71967114717733751000219409921414
absolute error = 9.151107520539346e-17
relative error = 1.2715679316075707917363842440557e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.419
y[1] (analytic) = 0.72018972659751146807606904550665
y[1] (numeric) = 0.72018972659751155959076814463459
absolute error = 9.151469909912794e-17
relative error = 1.2707026456970312246323572968425e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.42
y[1] (analytic) = 0.72070785036062503447619635533807
y[1] (numeric) = 0.72070785036062512599445040008798
absolute error = 9.151825404474991e-17
relative error = 1.2698384511693102340537399651924e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.421
y[1] (analytic) = 0.72122551764838477217254426795004
y[1] (numeric) = 0.72122551764838486369428429379816
absolute error = 9.152174002584812e-17
relative error = 1.2689753452465505458256541671502e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.422
y[1] (analytic) = 0.72174272764268957854749175345121
y[1] (numeric) = 0.72174272764268967007264877954596
absolute error = 9.152515702609475e-17
relative error = 1.2681133251599004772548614705811e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.423
y[1] (analytic) = 0.72225947952563171241962071062351
y[1] (numeric) = 0.7222594795256318039481257398692
absolute error = 9.152850502924569e-17
relative error = 1.2672523881494795268019393024311e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.424
y[1] (analytic) = 0.72277577247949791264915390865909
y[1] (numeric) = 0.72277577247949800418093792779947
absolute error = 9.153178401914038e-17
relative error = 1.2663925314643380500147311811927e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.425
y[1] (analytic) = 0.72329160568677051681254416434922
y[1] (numeric) = 0.72329160568677060834753814405112
absolute error = 9.153499397970190e-17
relative error = 1.2655337523624205908574621525418e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.426
y[1] (analytic) = 0.72380697833012857994479511885842
y[1] (numeric) = 0.72380697833012867148293001379545
absolute error = 9.153813489493703e-17
relative error = 1.2646760481105289815913817774453e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.427
y[1] (analytic) = 0.72432188959244899334809364715484
y[1] (numeric) = 0.72432188959244908488930039609108
absolute error = 9.154120674893624e-17
relative error = 1.2638194159842846599743376518582e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=324.2MB, alloc=4.6MB, time=41.05
NO POLE
x[1] = 2.428
y[1] (analytic) = 0.72483633865680760346533360382723
y[1] (numeric) = 0.72483633865680769500954312970098
absolute error = 9.154420952587375e-17
relative error = 1.2629638532680921389893688862802e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.429
y[1] (analytic) = 0.72535032470648033081711028140006
y[1] (numeric) = 0.7253503247064804223642534914076
absolute error = 9.154714321000754e-17
relative error = 1.2621093572551019688509095293355e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.43
y[1] (analytic) = 0.72586384692494428900076463136181
y[1] (numeric) = 0.72586384692494438055077241704115
absolute error = 9.155000778567934e-17
relative error = 1.2612559252471736069552794106506e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.431
y[1] (analytic) = 0.72637690449587890375005597394757
y[1] (numeric) = 0.72637690449587899530285921126232
absolute error = 9.155280323731475e-17
relative error = 1.2604035545548402611169365350560e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.432
y[1] (analytic) = 0.72688949660316703205404160026784
y[1] (numeric) = 0.72688949660316712360957114969101
absolute error = 9.155552954942317e-17
relative error = 1.2595522424972712938692793915027e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.433
y[1] (analytic) = 0.72740162243089608133374134964852
y[1] (numeric) = 0.72740162243089617289192805624643
absolute error = 9.155818670659791e-17
relative error = 1.2587019864022372863120722652841e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.434
y[1] (analytic) = 0.72791328116335912867516492604692
y[1] (numeric) = 0.72791328116335922023593961956309
absolute error = 9.156077469351617e-17
relative error = 1.2578527836060734894991990915882e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.435
y[1] (analytic) = 0.72842447198505604011727940013198
y[1] (numeric) = 0.72842447198505613168057289507104
absolute error = 9.156329349493906e-17
relative error = 1.2570046314536440049543492667340e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.436
y[1] (analytic) = 0.72893519408069458999349402806732
y[1] (numeric) = 0.72893519408069468155923712377898
absolute error = 9.156574309571166e-17
relative error = 1.2561575272983066905772447303803e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.437
y[1] (analytic) = 0.72944544663519158032523920421206
y[1] (numeric) = 0.72944544663519167189336268497517
absolute error = 9.156812348076311e-17
relative error = 1.2553114685018786511443858730424e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.438
y[1] (analytic) = 0.72995522883367396026621605285809
y[1] (numeric) = 0.7299552288336740518366506879645
absolute error = 9.157043463510641e-17
relative error = 1.2544664524345979265700087542062e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.439
y[1] (analytic) = 0.73046453986147994559589285375268
y[1] (numeric) = 0.7304645398614800371685693975914
absolute error = 9.157267654383872e-17
relative error = 1.2536224764750922113803653004364e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.44
y[1] (analytic) = 0.73097337890416013826082418751598
y[1] (numeric) = 0.73097337890416022983567337965722
absolute error = 9.157484919214124e-17
relative error = 1.2527795380103419849884570492353e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.441
y[1] (analytic) = 0.73148174514747864596236838014959
y[1] (numeric) = 0.73148174514747873753932094542886
absolute error = 9.157695256527927e-17
relative error = 1.2519376344356462823882233086677e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.442
y[1] (analytic) = 0.73198963777741420178937852065056
y[1] (numeric) = 0.73198963777741429336836516925275
absolute error = 9.157898664860219e-17
relative error = 1.2510967631545875403027067387039e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.443
y[1] (analytic) = 0.73249705598016128389444202229159
y[1] (numeric) = 0.73249705598016137547539344983519
absolute error = 9.158095142754360e-17
relative error = 1.2502569215789987995886424709497e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.444
y[1] (analytic) = 0.73300399894213123521224339640674
y[1] (numeric) = 0.73300399894213132679509028402795
absolute error = 9.158284688762121e-17
relative error = 1.2494181071289276589103683686811e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.445
y[1] (analytic) = 0.73351046584995338321862460752923
y[1] (numeric) = 0.73351046584995347480329762196626
absolute error = 9.158467301443703e-17
relative error = 1.2485803172326044934450447562076e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.446
y[1] (analytic) = 0.73401645589047615972891708046955
y[1] (numeric) = 0.73401645589047625131534687414671
absolute error = 9.158642979367716e-17
relative error = 1.2477435493264053812925677717129e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.447
y[1] (analytic) = 0.73452196825076822073411913339245
y[1] (numeric) = 0.73452196825076831232223634450451
absolute error = 9.158811721111206e-17
relative error = 1.2469078008548217435481017482234e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.448
y[1] (analytic) = 0.73502700211811956627349231615819
y[1] (numeric) = 0.73502700211811965786322756875468
absolute error = 9.158973525259649e-17
relative error = 1.2460730692704256455502269783216e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.449
y[1] (analytic) = 0.7355315566800426603421498401301
y[1] (numeric) = 0.73553155668004275193343374419955
absolute error = 9.159128390406945e-17
relative error = 1.2452393520338352665866803545904e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.45
y[1] (analytic) = 0.73603563112427355083220999432259
y[1] (numeric) = 0.7360356311242736424249731458769
absolute error = 9.159276315155431e-17
relative error = 1.2444066466136831184822280322157e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.451
y[1] (analytic) = 0.73653922463877298950608715317037
y[1] (numeric) = 0.7365392246387730811002601343292
absolute error = 9.159417298115883e-17
relative error = 1.2435749504865829266450595889851e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.452
y[1] (analytic) = 0.73704233641172755200049269334017
y[1] (numeric) = 0.73704233641172764359600607241527
absolute error = 9.159551337907510e-17
relative error = 1.2427442611370955868664817183697e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.453
y[1] (analytic) = 0.73754496563155075785971785088239
y[1] (numeric) = 0.7375449656315508494565021824621
absolute error = 9.159678433157971e-17
relative error = 1.2419145760576984052677118691572e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.454
y[1] (analytic) = 0.73804711148688419059677026563331
y[1] (numeric) = 0.7380471114868842821947560906669
absolute error = 9.159798582503359e-17
relative error = 1.2410858927487500180025158530604e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=328.0MB, alloc=4.6MB, time=41.51
x[1] = 2.455
y[1] (analytic) = 0.73854877316659861778093567712583
y[1] (numeric) = 0.73854877316659870938005352300809
absolute error = 9.159911784588226e-17
relative error = 1.2402582087184610307869879378516e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.456
y[1] (analytic) = 0.7390499498597951111503359553542
y[1] (numeric) = 0.73904994985979520275051633600982
absolute error = 9.160018038065562e-17
relative error = 1.2394315214828585790531129602277e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.457
y[1] (analytic) = 0.73955064075580616674805437055974
y[1] (numeric) = 0.7395506407558062583492277865279
absolute error = 9.160117341596816e-17
relative error = 1.2386058285657567365500726476283e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.458
y[1] (analytic) = 0.74005084504419682508039872876742
y[1] (numeric) = 0.74005084504419691668249566728635
absolute error = 9.160209693851893e-17
relative error = 1.2377811274987238262259131481510e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.459
y[1] (analytic) = 0.74055056191476579129587272410241
y[1] (numeric) = 0.74055056191476588289882365919386
absolute error = 9.160295093509145e-17
relative error = 1.2369574158210490785343691948227e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.46
y[1] (analytic) = 0.74104979055754655538342558495466
y[1] (numeric) = 0.74104979055754664698716097750863
absolute error = 9.160373539255397e-17
relative error = 1.2361346910797141727798755135899e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.461
y[1] (analytic) = 0.74154853016280851238854981883945
y[1] (numeric) = 0.74154853016280860399300011669873
absolute error = 9.160445029785928e-17
relative error = 1.2353129508293588501094625545881e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.462
y[1] (analytic) = 0.7420467799210580826457965903194
y[1] (numeric) = 0.74204677992105817425089222836423
absolute error = 9.160509563804483e-17
relative error = 1.2344921926322508678565851379180e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.463
y[1] (analytic) = 0.74254453902303983202627799761435
y[1] (numeric) = 0.74254453902303992363194939784712
absolute error = 9.160567140023277e-17
relative error = 1.2336724140582550224703018458474e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.464
y[1] (analytic) = 0.74304180665973759219872524652588
y[1] (numeric) = 0.74304180665973768380490281815581
absolute error = 9.160617757162993e-17
relative error = 1.2328536126848015144303054944942e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.465
y[1] (analytic) = 0.74353858202237558090267145504604
y[1] (numeric) = 0.74353858202237567250928559457391
absolute error = 9.160661413952787e-17
relative error = 1.2320357860968554064800411236750e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.466
y[1] (analytic) = 0.74403486430241952223232755850503
y[1] (numeric) = 0.74403486430241961383930864980789
absolute error = 9.160698109130286e-17
relative error = 1.2312189318868852882885492105334e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.467
y[1] (analytic) = 0.74453065269157776692971952333987
y[1] (numeric) = 0.74453065269157785853699793775591
absolute error = 9.160727841441604e-17
relative error = 1.2304030476548345089213980087939e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.468
y[1] (analytic) = 0.7450259463818024126856548175381
y[1] (numeric) = 0.74502594638180250429316091395134
absolute error = 9.160750609641324e-17
relative error = 1.2295881310080879853967756849826e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.469
y[1] (analytic) = 0.7455207445652904244470858275241
y[1] (numeric) = 0.74552074456529051605474995244924
absolute error = 9.160766412492514e-17
relative error = 1.2287741795614437289032588200211e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.47
y[1] (analytic) = 0.74601504643448475472943765471602
y[1] (numeric) = 0.74601504643448484633719014238338
absolute error = 9.160775248766736e-17
relative error = 1.2279611909370835707493667414398e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.471
y[1] (analytic) = 0.746508851182075463932467470185
y[1] (numeric) = 0.74650885118207555554023864262524
absolute error = 9.160777117244024e-17
relative error = 1.2271491627645398766682638658104e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.472
y[1] (analytic) = 0.74700215800100084065822235279681
y[1] (numeric) = 0.74700215800100093226594251992598
absolute error = 9.160772016712917e-17
relative error = 1.2263380926806697805766155949555e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.473
y[1] (analytic) = 0.74749496608444852202966228491316
y[1] (numeric) = 0.74749496608444861363726174461747
absolute error = 9.160759945970431e-17
relative error = 1.2255279783296213843988127743534e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.474
y[1] (analytic) = 0.74798727462585661400851473016906
y[1] (numeric) = 0.74798727462585670561592376838993
absolute error = 9.160740903822087e-17
relative error = 1.2247188173628076028641105916398e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.475
y[1] (analytic) = 0.7484790828189148117109269700332
y[1] (numeric) = 0.74847908281891490331807586085222
absolute error = 9.160714889081902e-17
relative error = 1.2239106074388751927180608472431e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.476
y[1] (analytic) = 0.74897038985756551971948212979251
y[1] (numeric) = 0.74897038985756561132630113551638
absolute error = 9.160681900572387e-17
relative error = 1.2231033462236748630993695739306e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.477
y[1] (analytic) = 0.7494611949360049723901445802861
y[1] (numeric) = 0.74946119493600506399656395153168
absolute error = 9.160641937124558e-17
relative error = 1.2222970313902332625390461934004e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.478
y[1] (analytic) = 0.74995149724868435415270015914566
y[1] (numeric) = 0.74995149724868444575865013492501
absolute error = 9.160594997577935e-17
relative error = 1.2214916606187235002960778609562e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.479
y[1] (analytic) = 0.75044129599031091980325641448
y[1] (numeric) = 0.75044129599031101140866722228543
absolute error = 9.160541080780543e-17
relative error = 1.2206872315964360741710551861478e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.48
y[1] (analytic) = 0.75093059035584911478736783487103
y[1] (numeric) = 0.75093059035584920639216969076022
absolute error = 9.160480185588919e-17
relative error = 1.2198837420177507354700806738519e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.481
y[1] (analytic) = 0.75141937954052169547235079222876
y[1] (numeric) = 0.75141937954052178707647390090982
absolute error = 9.160412310868106e-17
relative error = 1.2190811895841067581616740607461e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.482
y[1] (analytic) = 0.75190766273981084940735268848214
y[1] (numeric) = 0.7519076627398109410107272433988
memory used=331.8MB, alloc=4.6MB, time=41.98
absolute error = 9.160337455491666e-17
relative error = 1.2182795720039758751921223505499e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.483
y[1] (analytic) = 0.7523954391494593155697395632641
y[1] (numeric) = 0.75239543914945940717229574668078
absolute error = 9.160255618341668e-17
relative error = 1.2174788869928320217122462205227e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.484
y[1] (analytic) = 0.7528827079654715045963661876801
y[1] (numeric) = 0.75288270796547159619803417076719
absolute error = 9.160166798308709e-17
relative error = 1.2166791322731256032863883925953e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.485
y[1] (analytic) = 0.75336946838411461899829243893434
y[1] (numeric) = 0.75336946838411471059900238185334
absolute error = 9.160070994291900e-17
relative error = 1.2158803055742532423371560492819e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.486
y[1] (analytic) = 0.75385571960191977335750952202233
y[1] (numeric) = 0.75385571960191986495719157401112
absolute error = 9.159968205198879e-17
relative error = 1.2150824046325312475249512743651e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.487
y[1] (analytic) = 0.75434146081568311450423937788808
y[1] (numeric) = 0.75434146081568320610282367734612
absolute error = 9.159858429945804e-17
relative error = 1.2142854271911665585126375791068e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.488
y[1] (analytic) = 0.75482669122246694167337039238497
y[1] (numeric) = 0.75482669122246703327078706695858
absolute error = 9.159741667457361e-17
relative error = 1.2134893710002298141845078833281e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.489
y[1] (analytic) = 0.75531141001960082663859229707502
y[1] (numeric) = 0.75531141001960091823477146374272
absolute error = 9.159617916666770e-17
relative error = 1.2126942338166282838986104508577e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.49
y[1] (analytic) = 0.75579561640468273382279293135046
y[1] (numeric) = 0.75579561640468282541766469650826
absolute error = 9.159487176515780e-17
relative error = 1.2119000134040774714625475294797e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.491
y[1] (analytic) = 0.75627930957558014038327931556514
y[1] (numeric) = 0.75627930957558023197677377511183
absolute error = 9.159349445954669e-17
relative error = 1.2111067075330735132659597099522e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.492
y[1] (analytic) = 0.75676248873043115627038526682187
y[1] (numeric) = 0.75676248873043124786243250624449
absolute error = 9.159204723942262e-17
relative error = 1.2103143139808680847145219548388e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.493
y[1] (analytic) = 0.75724515306764564425802757277709
y[1] (numeric) = 0.75724515306764573584855766723616
absolute error = 9.159053009445907e-17
relative error = 1.2095228305314378801760488550384e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.494
y[1] (analytic) = 0.75772730178590633994477252429239
y[1] (numeric) = 0.75772730178590643153371553870749
absolute error = 9.158894301441510e-17
relative error = 1.2087322549754620198369269070716e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.495
y[1] (analytic) = 0.75820893408416997172397439499151
y[1] (numeric) = 0.75820893408417006331126038412657
absolute error = 9.158728598913506e-17
relative error = 1.2079425851102911255950490579651e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.496
y[1] (analytic) = 0.75869004916166838072154724476206
y[1] (numeric) = 0.75869004916166847230710625331089
absolute error = 9.158555900854883e-17
relative error = 1.2071538187399235242144113196357e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.497
y[1] (analytic) = 0.75917064621790964069993121498409
y[1] (numeric) = 0.7591706462179097322836932776558
absolute error = 9.158376206267171e-17
relative error = 1.2063659536749769543671949444610e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.498
y[1] (analytic) = 0.75965072445267917792681427576437
y[1] (numeric) = 0.75965072445267926950870941736889
absolute error = 9.158189514160452e-17
relative error = 1.2055789877326631691689628721662e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.499
y[1] (analytic) = 0.76013028306604089100717017971268
y[1] (numeric) = 0.76013028306604098258712841524628
absolute error = 9.157995823553360e-17
relative error = 1.2047929187367613430124255485151e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5
y[1] (analytic) = 0.76060932125833827067717317281111
y[1] (numeric) = 0.76060932125833836225512450754193
absolute error = 9.157795133473082e-17
relative error = 1.2040077445175917340610681556613e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.501
y[1] (analytic) = 0.76108783823019551955854981070163
y[1] (numeric) = 0.76108783823019561113442424025521
absolute error = 9.157587442955358e-17
relative error = 1.2032234629119893383579953165576e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.502
y[1] (analytic) = 0.76156583318251867187192802825084
y[1] (numeric) = 0.76156583318251876344565553869573
absolute error = 9.157372751044489e-17
relative error = 1.2024400717632787172270378640618e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.503
y[1] (analytic) = 0.76204330531649671310774341154479
y[1] (numeric) = 0.76204330531649680467925397947812
absolute error = 9.157151056793333e-17
relative error = 1.2016575689212473681602432897605e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.504
y[1] (analytic) = 0.76252025383360269965326242452015
y[1] (numeric) = 0.7625202538336027912224860171533
absolute error = 9.156922359263315e-17
relative error = 1.2008759522421210551928587932167e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.505
y[1] (analytic) = 0.76299667793559487837428214725365
y[1] (numeric) = 0.76299667793559496994114872249787
absolute error = 9.156686657524422e-17
relative error = 1.2000952195885372892541510098417e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.506
y[1] (analytic) = 0.76347257682451780615006588950718
y[1] (numeric) = 0.76347257682451789771450539605923
absolute error = 9.156443950655205e-17
relative error = 1.1993153688295198480195668210281e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.507
y[1] (analytic) = 0.76394794970270346936007385146403
y[1] (numeric) = 0.76394794970270356092201622889189
absolute error = 9.156194237742786e-17
relative error = 1.1985363978404540687930915571235e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.508
y[1] (analytic) = 0.76442279577277240332104781369181
y[1] (numeric) = 0.76442279577277249488042299252034
absolute error = 9.155937517882853e-17
relative error = 1.1977583045030606870265117971002e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.509
y[1] (analytic) = 0.76489711423763481167300865022962
y[1] (numeric) = 0.76489711423763490322974655202637
absolute error = 9.155673790179675e-17
relative error = 1.1969810867053724102358367495357e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=335.7MB, alloc=4.6MB, time=42.45
NO POLE
x[1] = 2.51
y[1] (analytic) = 0.76537090430049168571272527232329
y[1] (numeric) = 0.76537090430049177726675580978417
absolute error = 9.155403053746088e-17
relative error = 1.1962047423417068131926064479554e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.511
y[1] (analytic) = 0.76584416516483592367321342572029
y[1] (numeric) = 0.76584416516483601522446650275535
absolute error = 9.155125307703506e-17
relative error = 1.1954292693126426212398653508818e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.512
y[1] (analytic) = 0.76631689603445344994782258158954
y[1] (numeric) = 0.76631689603445354149622809340878
absolute error = 9.154840551181924e-17
relative error = 1.1946546655249950606288104800804e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.513
y[1] (analytic) = 0.76678909611342433425746898004789
y[1] (numeric) = 0.76678909611342442580295681324704
absolute error = 9.154548783319915e-17
relative error = 1.1938809288917905406126954037999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.514
y[1] (analytic) = 0.76726076460612391075957270595633
y[1] (numeric) = 0.7672607646061240023020727386027
absolute error = 9.154250003264637e-17
relative error = 1.1931080573322427553861265039614e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.515
y[1] (analytic) = 0.76773190071722389709725649909628
y[1] (numeric) = 0.76773190071722398863669860081461
absolute error = 9.153944210171833e-17
relative error = 1.1923360487717279853167450266132e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.516
y[1] (analytic) = 0.76820250365169351338736382504787
y[1] (numeric) = 0.76820250365169360492367785710616
absolute error = 9.153631403205829e-17
relative error = 1.1915649011417602516531496027908e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.517
y[1] (analytic) = 0.76867257261480060114585355907038
y[1] (numeric) = 0.76867257261480069267896937446577
absolute error = 9.153311581539539e-17
relative error = 1.1907946123799674960531209258871e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.518
y[1] (analytic) = 0.76914210681211274214912846302933
y[1] (numeric) = 0.76914210681211283367897590657407
absolute error = 9.152984744354474e-17
relative error = 1.1900251804300683903715782192843e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.519
y[1] (analytic) = 0.769611105449498377229854464926
y[1] (numeric) = 0.76961110544949846875636337333332
absolute error = 9.152650890840732e-17
relative error = 1.1892566032418467853746743834908e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.52
y[1] (analytic) = 0.77007956773312792500582758186272
y[1] (numeric) = 0.7700795677331280165289277838328
absolute error = 9.152310020197008e-17
relative error = 1.1884888787711288727311728859221e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.521
y[1] (analytic) = 0.77054749286947490054044516032366
y[1] (numeric) = 0.77054749286947499206006647662959
absolute error = 9.151962131630593e-17
relative error = 1.1877220049797590254833064979888e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.522
y[1] (analytic) = 0.77101488006531703393333794246405
y[1] (numeric) = 0.77101488006531712544941018603781
absolute error = 9.151607224357376e-17
relative error = 1.1869559798355761382811461262417e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.523
y[1] (analytic) = 0.77148172852773738883971930368279
y[1] (numeric) = 0.77148172852773748035217227970122
absolute error = 9.151245297601843e-17
relative error = 1.1861908013123896874064464954081e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.524
y[1] (analytic) = 0.77194803746412548091700784510406
y[1] (numeric) = 0.77194803746412557242577135107494
absolute error = 9.150876350597088e-17
relative error = 1.1854264673899574547799339487537e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.525
y[1] (analytic) = 0.7724138060821783961972793647135
y[1] (numeric) = 0.77241380608217848770228319056159
absolute error = 9.150500382584809e-17
relative error = 1.1846629760539614132603806440726e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.526
y[1] (analytic) = 0.77287903358990190938410407278361
y[1] (numeric) = 0.77287903358990200088527800093662
absolute error = 9.150117392815301e-17
relative error = 1.1839003252959833335101451831132e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.527
y[1] (analytic) = 0.77334371919561160207232476088188
y[1] (numeric) = 0.77334371919561169356959856635665
absolute error = 9.149727380547477e-17
relative error = 1.1831385131134841220277669999897e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.528
y[1] (analytic) = 0.77380786210793398088933147918566
y[1] (numeric) = 0.77380786210793407238263492967421
absolute error = 9.149330345048855e-17
relative error = 1.1823775375097788622137890789379e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.529
y[1] (analytic) = 0.77427146153580759555638812402664
y[1] (numeric) = 0.77427146153580768704565097998227
absolute error = 9.148926285595563e-17
relative error = 1.1816173964940142923812903954509e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.53
y[1] (analytic) = 0.77473451668848415686856618655977
y[1] (numeric) = 0.77473451668848424835371820128323
absolute error = 9.148515201472346e-17
relative error = 1.1808580880811466451380161382625e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.531
y[1] (analytic) = 0.77519702677552965459184076419405
y[1] (numeric) = 0.77519702677552974607281168391971
absolute error = 9.148097091972566e-17
relative error = 1.1800996102919186855166578098364e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.532
y[1] (analytic) = 0.77565899100682547527590378893676
y[1] (numeric) = 0.7756589910068255667526233529187
absolute error = 9.147671956398194e-17
relative error = 1.1793419611528358221561766598314e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.533
y[1] (analytic) = 0.77612040859256951998124928108927
y[1] (numeric) = 0.77612040859256961145364722168753
absolute error = 9.147239794059826e-17
relative error = 1.1785851386961454183353866946053e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.534
y[1] (analytic) = 0.77658127874327732191908529279242
y[1] (numeric) = 0.77658127874327741338709133555921
absolute error = 9.146800604276679e-17
relative error = 1.1778291409598136235639882633632e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.535
y[1] (analytic) = 0.77704160066978316400262706375084
y[1] (numeric) = 0.7770416006697832554661709275167
absolute error = 9.146354386376586e-17
relative error = 1.1770739659875021810875635954963e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.536
y[1] (analytic) = 0.77750137358324119630832577107128
y[1] (numeric) = 0.77750137358324128776733716803144
absolute error = 9.145901139696016e-17
relative error = 1.1763196118285485553170488643105e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=339.5MB, alloc=4.6MB, time=42.92
NO POLE
x[1] = 2.537
y[1] (analytic) = 0.77796059669512655344558711652978
y[1] (numeric) = 0.7779605966951266448999957523303
absolute error = 9.145440863580052e-17
relative error = 1.1755660765379407530669200786457e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.538
y[1] (analytic) = 0.77841926921723647183353385773447
y[1] (numeric) = 0.77841926921723656328326943155854
absolute error = 9.144973557382407e-17
relative error = 1.1748133581762971376378858671515e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.539
y[1] (analytic) = 0.77887739036169140688336625457956
y[1] (numeric) = 0.77887739036169149832835845923388
absolute error = 9.144499220465432e-17
relative error = 1.1740614548098453090829807211809e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.54
y[1] (analytic) = 0.77933495934093615008487426908811
y[1] (numeric) = 0.77933495934093624152505279108914
absolute error = 9.144017852200103e-17
relative error = 1.1733103645103983863107368696952e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.541
y[1] (analytic) = 0.77979197536774094599565522521837
y[1] (numeric) = 0.77979197536774103743094974487862
absolute error = 9.143529451966025e-17
relative error = 1.1725600853553335746686587722252e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.542
y[1] (analytic) = 0.78024843765520260913159050546177
y[1] (numeric) = 0.78024843765520270056193069697621
absolute error = 9.143034019151444e-17
relative error = 1.1718106154275718560186748803599e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.543
y[1] (analytic) = 0.78070434541674564075713473308985
y[1] (numeric) = 0.78070434541674573218245026462228
absolute error = 9.142531553153243e-17
relative error = 1.1710619528155557224516020202431e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.544
y[1] (analytic) = 0.78115969786612334557397076271205
y[1] (numeric) = 0.78115969786612343699419129648143
absolute error = 9.142022053376938e-17
relative error = 1.1703140956132270097584104137312e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.545
y[1] (analytic) = 0.78161449421741894830658367738801
y[1] (numeric) = 0.78161449421741903972163886975488
absolute error = 9.141505519236687e-17
relative error = 1.1695670419200064933439042948458e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.546
y[1] (analytic) = 0.78206873368504671018330686789697
y[1] (numeric) = 0.78206873368504680159312636944987
absolute error = 9.140981950155290e-17
relative error = 1.1688207898407724262334427675316e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.547
y[1] (analytic) = 0.78252241548375304531139314890234
y[1] (numeric) = 0.78252241548375313671590660454425
absolute error = 9.140451345564191e-17
relative error = 1.1680753374858394290700182362334e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.548
y[1] (analytic) = 0.78297553882861763694466374766322
y[1] (numeric) = 0.78297553882861772834380079669799
absolute error = 9.139913704903477e-17
relative error = 1.1673306829709370919626631712415e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.549
y[1] (analytic) = 0.78342810293505455364228788363576
y[1] (numeric) = 0.78342810293505464503597815985459
absolute error = 9.139369027621883e-17
relative error = 1.1665868244171894380291337340552e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.55
y[1] (analytic) = 0.78388010701881336531724554177741
y[1] (numeric) = 0.78388010701881345670541867354532
absolute error = 9.138817313176791e-17
relative error = 1.1658437599510937141835249514150e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.551
y[1] (analytic) = 0.78433155029598025917302592861499
y[1] (numeric) = 0.78433155029598035055561153895733
absolute error = 9.138258561034234e-17
relative error = 1.1651014877044999142344127723520e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.552
y[1] (analytic) = 0.78478243198297915552711398816512
y[1] (numeric) = 0.78478243198297924690404169485409
absolute error = 9.137692770668897e-17
relative error = 1.1643600058145900118332653871195e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.553
y[1] (analytic) = 0.78523275129657282351981724460217
y[1] (numeric) = 0.78523275129657291489101666024329
absolute error = 9.137119941564112e-17
relative error = 1.1636193124238565222711508041684e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.554
y[1] (analytic) = 0.78568250745386399670698513015481
y[1] (numeric) = 0.78568250745386408807238586227354
absolute error = 9.136540073211873e-17
relative error = 1.1628794056800837049179633371834e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.555
y[1] (analytic) = 0.78613169967229648853517285007916
y[1] (numeric) = 0.78613169967229657989470450120743
absolute error = 9.135953165112827e-17
relative error = 1.1621402837363257985845431730248e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.556
y[1] (analytic) = 0.78658032716965630769780173170235
y[1] (numeric) = 0.78658032716965639905139389946512
absolute error = 9.135359216776277e-17
relative error = 1.1614019447508868783347008486742e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.557
y[1] (analytic) = 0.78702838916407277337086790145794
y[1] (numeric) = 0.78702838916407286471845017865983
absolute error = 9.134758227720189e-17
relative error = 1.1606643868873013106654307358292e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.558
y[1] (analytic) = 0.78747588487401963032675103254267
y[1] (numeric) = 0.78747588487401972166825300725455
absolute error = 9.134150197471188e-17
relative error = 1.1599276083143128997399643186706e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.559
y[1] (analytic) = 0.78792281351831616392467480631337
y[1] (numeric) = 0.787922813518316255260026061959
absolute error = 9.133535125564563e-17
relative error = 1.1591916072058552680837058990452e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.56
y[1] (analytic) = 0.788369174316128314976370632814
y[1] (numeric) = 0.78836917431612840630550074825662
absolute error = 9.132913011544262e-17
relative error = 1.1584563817410310566843455460891e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.561
y[1] (analytic) = 0.78881496648696979448549607987541
y[1] (numeric) = 0.78881496648696988580833462950445
absolute error = 9.132283854962904e-17
relative error = 1.1577219301040933719123399510548e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.562
y[1] (analytic) = 0.78926018925070319825935936606607
y[1] (numeric) = 0.78926018925070328957583591988382
absolute error = 9.131647655381775e-17
relative error = 1.1569882504844252891299117478121e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.563
y[1] (analytic) = 0.78970484182754112139150118038943
y[1] (numeric) = 0.78970484182754121270154530409765
absolute error = 9.131004412370822e-17
relative error = 1.1562553410765191933661004733296e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=343.3MB, alloc=4.6MB, time=43.39
x[1] = 2.564
y[1] (analytic) = 0.79014892343804727261368500102383
y[1] (numeric) = 0.79014892343804736391722625611055
absolute error = 9.130354125508672e-17
relative error = 1.1555232000799593746496017913825e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.565
y[1] (analytic) = 0.79059243330313758851584699658557
y[1] (numeric) = 0.79059243330313767981281494041175
absolute error = 9.129696794382618e-17
relative error = 1.1547918256994005288179521643355e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.566
y[1] (analytic) = 0.79103537064408134763255650636194
y[1] (numeric) = 0.79103537064408143892288069224821
absolute error = 9.129032418588627e-17
relative error = 1.1540612161445491326830957216257e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.567
y[1] (analytic) = 0.79147773468250228439453801071275
y[1] (numeric) = 0.79147773468250237567814798802611
absolute error = 9.128360997731336e-17
relative error = 1.1533313696301433864007421834403e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.568
y[1] (analytic) = 0.79191952464037970294380541937343
y[1] (numeric) = 0.79191952464037979422063073361412
absolute error = 9.127682531424069e-17
relative error = 1.1526022843759358956264180106405e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.569
y[1] (analytic) = 0.79236073974004959081095942371322
y[1] (numeric) = 0.79236073974004968208092961660139
absolute error = 9.126997019288817e-17
relative error = 1.1518739586066717627554392861536e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.57
y[1] (analytic) = 0.79280137920420573245319857910483
y[1] (numeric) = 0.79280137920420582371624318866734
absolute error = 9.126304460956251e-17
relative error = 1.1511463905520709344735619615642e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.571
y[1] (analytic) = 0.79324144225590082265159470545221
y[1] (numeric) = 0.79324144225590091390764326610952
absolute error = 9.125604856065731e-17
relative error = 1.1504195784468101245282145754190e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.572
y[1] (analytic) = 0.79368092811854757976618311759741
y[1] (numeric) = 0.79368092811854767101516516025029
absolute error = 9.124898204265288e-17
relative error = 1.1496935205305014153852094272680e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.573
y[1] (analytic) = 0.7941198360159198588474181227868
y[1] (numeric) = 0.79411983601591995008926317490318
absolute error = 9.124184505211638e-17
relative error = 1.1489682150476749811300155750459e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.574
y[1] (analytic) = 0.79455816517215376460254414962374
y[1] (numeric) = 0.79455816517215385583718173532561
absolute error = 9.123463758570187e-17
relative error = 1.1482436602477607554474546411003e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.575
y[1] (analytic) = 0.7949959148117487642154328019666
y[1] (numeric) = 0.79499591481174885544279244211679
absolute error = 9.122735964015019e-17
relative error = 1.1475198543850680423626021542216e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.576
y[1] (analytic) = 0.79543308415956880001843606204904
y[1] (numeric) = 0.79543308415956889123844727433817
absolute error = 9.122001121228913e-17
relative error = 1.1467967957187688605647291615027e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.577
y[1] (analytic) = 0.79586967244084340201480579970573
y[1] (numeric) = 0.79586967244084349322739809873906
absolute error = 9.121259229903333e-17
relative error = 1.1460744825128779705110622904011e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.578
y[1] (analytic) = 0.79630567888116880025022967897792
y[1] (numeric) = 0.79630567888116889145533257636221
absolute error = 9.120510289738429e-17
relative error = 1.1453529130362343689790388670599e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.579
y[1] (analytic) = 0.79674110270650903703203348955341
y[1] (numeric) = 0.79674110270650912822957649398391
absolute error = 9.119754300443050e-17
relative error = 1.1446320855624843708305147835609e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.58
y[1] (analytic) = 0.79717594314319707899459986846283
y[1] (numeric) = 0.79717594314319717018451248581014
absolute error = 9.118991261734731e-17
relative error = 1.1439119983700615049876532798150e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.581
y[1] (analytic) = 0.79761019941793592900955331720833
y[1] (numeric) = 0.79761019941793602019176505060539
absolute error = 9.118221173339706e-17
relative error = 1.1431926497421697561481575168214e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.582
y[1] (analytic) = 0.79804387075779973793926136104485
y[1] (numeric) = 0.79804387075779982911370171097382
absolute error = 9.117444034992897e-17
relative error = 1.1424740379667638740541627136884e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.583
y[1] (analytic) = 0.79847695639023491623220164046472
y[1] (numeric) = 0.79847695639023500739880010484401
absolute error = 9.116659846437929e-17
relative error = 1.1417561613365330232814357315723e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.584
y[1] (analytic) = 0.79890945554306124535874467005744
y[1] (numeric) = 0.79890945554306133651743074432868
absolute error = 9.115868607427124e-17
relative error = 1.1410390181488818777356301860647e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.585
y[1] (analytic) = 0.7993413674444729890859019468249
y[1] (numeric) = 0.79934136744447308023660512403991
absolute error = 9.115070317721501e-17
relative error = 1.1403226067059125472173838767952e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.586
y[1] (analytic) = 0.79977269132304000458958903873089
y[1] (numeric) = 0.79977269132304009573223880963868
absolute error = 9.114264977090779e-17
relative error = 1.1396069253144069576840634128440e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.587
y[1] (analytic) = 0.80020342640770885340295323475153
y[1] (numeric) = 0.80020342640770894453747908788533
absolute error = 9.113452585313380e-17
relative error = 1.1388919722858093084814219408218e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.588
y[1] (analytic) = 0.80063357192780391219931528997082
y[1] (numeric) = 0.8006335719278040033256467117351
absolute error = 9.112633142176428e-17
relative error = 1.1381777459362081065448950414195e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.589
y[1] (analytic) = 0.80106312711302848340827475333268
y[1] (numeric) = 0.80106312711302857452634122809022
absolute error = 9.111806647475754e-17
relative error = 1.1374642445863190273932923939170e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.59
y[1] (analytic) = 0.80149209119346590566352832151917
y[1] (numeric) = 0.80149209119346599677325933167806
absolute error = 9.110973101015889e-17
relative error = 1.1367514665614663538923703254923e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.591
y[1] (analytic) = 0.80192046339958066408095062007201
y[1] (numeric) = 0.80192046339958075518227564617274
memory used=347.1MB, alloc=4.6MB, time=43.87
absolute error = 9.110132502610073e-17
relative error = 1.1360394101915664896227026447574e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.592
y[1] (analytic) = 0.80234824296221950036548677231426
y[1] (numeric) = 0.8023482429622195914583352931168
absolute error = 9.109284852080254e-17
relative error = 1.1353280738111102984962519066890e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.593
y[1] (analytic) = 0.80277542911261252274540607785856
y[1] (numeric) = 0.80277542911261261382970757042947
absolute error = 9.108430149257091e-17
relative error = 1.1346174557591460188500467852308e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.594
y[1] (analytic) = 0.80320202108237431573246608550969
y[1] (numeric) = 0.80320202108237440680815002530916
absolute error = 9.107568393979947e-17
relative error = 1.1339075543792610067450693038995e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.595
y[1] (analytic) = 0.8036280181035050497065363101817
y[1] (numeric) = 0.80362801810350514077353217115076
absolute error = 9.106699586096906e-17
relative error = 1.1331983680195665435233356165904e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.596
y[1] (analytic) = 0.80405341940839159032323081005507
y[1] (numeric) = 0.80405341940839168138146806470258
absolute error = 9.105823725464751e-17
relative error = 1.1324898950326778608507054433641e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.597
y[1] (analytic) = 0.80447822422980860774309880859444
y[1] (numeric) = 0.80447822422980869879250692808438
absolute error = 9.104940811948994e-17
relative error = 1.1317821337757007125260516854068e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.598
y[1] (analytic) = 0.80490243180091968568092251623791
y[1] (numeric) = 0.80490243180091977672143097047638
absolute error = 9.104050845423847e-17
relative error = 1.1310750826102106782608370510422e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.599
y[1] (analytic) = 0.80532604135527843027367127854812
y[1] (numeric) = 0.80532604135527852130520953627061
absolute error = 9.103153825772249e-17
relative error = 1.1303687399022395060699453235731e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6
y[1] (analytic) = 0.80574905212682957876566115139093
y[1] (numeric) = 0.80574905212682966978815868024945
absolute error = 9.102249752885852e-17
relative error = 1.1296631040222564287543809131578e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.601
y[1] (analytic) = 0.80617146334991010800946897927294
y[1] (numeric) = 0.80617146334991019902285524592315
absolute error = 9.101338626665021e-17
relative error = 1.1289581733451512952234397156633e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.602
y[1] (analytic) = 0.80659327425925034278115003032953
y[1] (numeric) = 0.80659327425925043378535450051803
absolute error = 9.100420447018850e-17
relative error = 1.1282539462502197578335438808454e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.603
y[1] (analytic) = 0.80701448408997506390830822060887
y[1] (numeric) = 0.80701448408997515490326035926034
absolute error = 9.099495213865147e-17
relative error = 1.1275504211211446841885741913805e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.604
y[1] (analytic) = 0.80743509207760461620956794124326
y[1] (numeric) = 0.80743509207760470719519721254767
absolute error = 9.098562927130441e-17
relative error = 1.1268475963459803710870867862864e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.605
y[1] (analytic) = 0.80785509745805601624399648484072
y[1] (numeric) = 0.80785509745805610722023235234059
absolute error = 9.097623586749987e-17
relative error = 1.1261454703171365794518353155996e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.606
y[1] (analytic) = 0.80827449946764405986902605196456
y[1] (numeric) = 0.80827449946764415083579797864218
absolute error = 9.096677192667762e-17
relative error = 1.1254440414313615247555072681252e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.607
y[1] (analytic) = 0.8086932973430824296054243048973
y[1] (numeric) = 0.80869329734308252056266175326193
absolute error = 9.095723744836463e-17
relative error = 1.1247433080897251868505777876686e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.608
y[1] (analytic) = 0.80911149032148480180786242400929
y[1] (numeric) = 0.80911149032148489275549485618453
absolute error = 9.094763243217524e-17
relative error = 1.1240432686976050390030780493775e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.609
y[1] (analytic) = 0.80952907764036595363962961197112
y[1] (numeric) = 0.80952907764036604457758648978204
absolute error = 9.093795687781092e-17
relative error = 1.1233439216646667755677468730523e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.61
y[1] (analytic) = 0.80994605853764286985004298276112
y[1] (numeric) = 0.80994605853764296077825376782161
absolute error = 9.092821078506049e-17
relative error = 1.1226452654048507977109913171703e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.611
y[1] (analytic) = 0.81036243225163584935310176592894
y[1] (numeric) = 0.81036243225163594027149591972901
absolute error = 9.091839415380007e-17
relative error = 1.1219472983363554280039888892415e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.612
y[1] (analytic) = 0.8107781980210696116059347518793
y[1] (numeric) = 0.81077819802106970251444173587237
absolute error = 9.090850698399307e-17
relative error = 1.1212500188816206890518993026086e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.613
y[1] (analytic) = 0.81119335508507440278558990103957
y[1] (numeric) = 0.8111933550850744936841391767297
absolute error = 9.089854927569013e-17
relative error = 1.1205534254673115345465588115282e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.614
y[1] (analytic) = 0.81160790268318710176271503866972
y[1] (numeric) = 0.81160790268318719265123606769905
absolute error = 9.088852102902933e-17
relative error = 1.1198575165243044773836722193896e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.615
y[1] (analytic) = 0.81202184005535232587067855776518
y[1] (numeric) = 0.81202184005535241674910080200116
absolute error = 9.087842224423598e-17
relative error = 1.1191622904876691052974037277176e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.616
y[1] (analytic) = 0.81243516644192353646867905498926
y[1] (numeric) = 0.81243516644192362733693197661203
absolute error = 9.086825292162277e-17
relative error = 1.1184677457966541029212306102124e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.617
y[1] (analytic) = 0.81284788108366414429739282885653
y[1] (numeric) = 0.81284788108366423515540589044623
absolute error = 9.085801306158970e-17
relative error = 1.1177738808946706287064448793539e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.618
y[1] (analytic) = 0.81325998322174861462570817546815
y[1] (numeric) = 0.81325998322174870547341084009235
absolute error = 9.084770266462420e-17
relative error = 1.1170806942292780974439427946553e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=350.9MB, alloc=4.6MB, time=44.34
NO POLE
x[1] = 2.619
y[1] (analytic) = 0.81367147209776357218709542497782
y[1] (numeric) = 0.81367147209776366302441715627877
absolute error = 9.083732173130095e-17
relative error = 1.1163881842521663376690721047160e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.62
y[1] (analytic) = 0.81408234695370890590416167164017
y[1] (numeric) = 0.81408234695370899673103193392226
absolute error = 9.082687026228209e-17
relative error = 1.1156963494191426124774387831789e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.621
y[1] (analytic) = 0.81449260703199887339993916176563
y[1] (numeric) = 0.81449260703199896421628742008275
absolute error = 9.081634825831712e-17
relative error = 1.1150051881901148921574301943067e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.622
y[1] (analytic) = 0.81490225157546320529445631717356
y[1] (numeric) = 0.81490225157546329610021203741651
absolute error = 9.080575572024295e-17
relative error = 1.1143146990290770366150331542883e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.623
y[1] (analytic) = 0.81531127982734820928514038680187
y[1] (numeric) = 0.81531127982734830008023303578568
absolute error = 9.079509264898381e-17
relative error = 1.1136248804040923238378204632338e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.624
y[1] (analytic) = 0.81571969103131787400960073599471
y[1] (numeric) = 0.81571969103131796479395978154618
absolute error = 9.078435904555147e-17
relative error = 1.1129357307872808467025482354207e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.625
y[1] (analytic) = 0.81612748443145497268934180165253
y[1] (numeric) = 0.8161274844314550634628967126975
absolute error = 9.077355491104497e-17
relative error = 1.1122472486548009620857803276319e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.626
y[1] (analytic) = 0.81653465927226216655295476188685
y[1] (numeric) = 0.81653465927226225731563500853774
absolute error = 9.076268024665089e-17
relative error = 1.1115594324868374272631589472427e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.627
y[1] (analytic) = 0.81694121479866310803733699108208
y[1] (numeric) = 0.81694121479866319878907204472525
absolute error = 9.075173505364317e-17
relative error = 1.1108722807675840817716855244379e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.628
y[1] (analytic) = 0.81734715025600354376548839532141
y[1] (numeric) = 0.81734715025600363450620772870465
absolute error = 9.074071933338324e-17
relative error = 1.1101857919852303920233718017556e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.629
y[1] (analytic) = 0.81775246489005241729943374899021
y[1] (numeric) = 0.81775246489005250802906683631019
absolute error = 9.072963308731998e-17
relative error = 1.1094999646319459753846736624216e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.63
y[1] (analytic) = 0.81815715794700297166682018102335
y[1] (numeric) = 0.81815715794700306238529649801305
absolute error = 9.071847631698970e-17
relative error = 1.1088147972038654329339281921536e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.631
y[1] (analytic) = 0.81856122867347385165973898871599
y[1] (numeric) = 0.81856122867347394236698801273221
absolute error = 9.070724902401622e-17
relative error = 1.1081302882010744670457391375952e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.632
y[1] (analytic) = 0.81896467631651020590432098826947
y[1] (numeric) = 0.81896467631651029660027219838022
absolute error = 9.069595121011075e-17
relative error = 1.1074464361275936161051821517580e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.633
y[1] (analytic) = 0.81936750012358478869965464429453
y[1] (numeric) = 0.81936750012358487938423752136661
absolute error = 9.068458287707208e-17
relative error = 1.1067632394913658387804181693066e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.634
y[1] (analytic) = 0.8197696993425990616245762553456
y[1] (numeric) = 0.81976969934259915229772028213204
absolute error = 9.067314402678644e-17
relative error = 1.1060806968042401274382915338776e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.635
y[1] (analytic) = 0.82017127322188429491088150920931
y[1] (numeric) = 0.82017127322188438557251617043685
absolute error = 9.066163466122754e-17
relative error = 1.1053988065819573824627633597167e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.636
y[1] (analytic) = 0.82057222101020266858150776012082
y[1] (numeric) = 0.82057222101020275923156254257746
absolute error = 9.065005478245664e-17
relative error = 1.1047175673441367116231178062659e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.637
y[1] (analytic) = 0.8209725419567483733522364203316
y[1] (numeric) = 0.82097254195674846399064081295409
absolute error = 9.063840439262249e-17
relative error = 1.1040369776142602040411447759693e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.638
y[1] (analytic) = 0.82137223531114871129546490050188
y[1] (numeric) = 0.82137223531114880192214839446326
absolute error = 9.062668349396138e-17
relative error = 1.1033570359196591058070207265195e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.639
y[1] (analytic) = 0.82177130032346519626459757724171
y[1] (numeric) = 0.82177130032346528687948966603882
absolute error = 9.061489208879711e-17
relative error = 1.1026777407914990802894609439008e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.64
y[1] (analytic) = 0.82216973624419465407760531177482
y[1] (numeric) = 0.82216973624419474468063549131578
absolute error = 9.060303017954096e-17
relative error = 1.1019990907647655291909972507109e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.641
y[1] (analytic) = 0.82256754232427032245830309115066
y[1] (numeric) = 0.82256754232427041304940085984253
absolute error = 9.059109776869187e-17
relative error = 1.1013210843782515270199372274968e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.642
y[1] (analytic) = 0.82296471781506295073389541268237
y[1] (numeric) = 0.82296471781506304131299027151861
absolute error = 9.057909485883624e-17
relative error = 1.1006437201745411908440378068607e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.643
y[1] (analytic) = 0.82336126196838189928733908334007
y[1] (numeric) = 0.82336126196838198985436053598812
absolute error = 9.056702145264805e-17
relative error = 1.0999669966999970023878335721181e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.644
y[1] (analytic) = 0.82375717403647623876307315868342
y[1] (numeric) = 0.82375717403647632931795071157223
absolute error = 9.055487755288881e-17
relative error = 1.0992909125047451206845578888174e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.645
y[1] (analytic) = 0.82415245327203584902466580057132
y[1] (numeric) = 0.82415245327203593956732896297901
absolute error = 9.054266316240769e-17
relative error = 1.0986154661426629387418103120614e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=354.7MB, alloc=4.6MB, time=44.81
NO POLE
x[1] = 2.646
y[1] (analytic) = 0.82454709892819251786292788934357
y[1] (numeric) = 0.82454709892819260839330617348488
absolute error = 9.053037828414131e-17
relative error = 1.0979406561713625701029727954753e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.647
y[1] (analytic) = 0.82494111025852103945304328442501
y[1] (numeric) = 0.82494111025852112997106620553899
absolute error = 9.051802292111398e-17
relative error = 1.0972664811521798552814943798680e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.648
y[1] (analytic) = 0.82533448651704031255926568736347
y[1] (numeric) = 0.82533448651704040306486276380095
absolute error = 9.050559707643748e-17
relative error = 1.0965929396501578436806025012055e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.649
y[1] (analytic) = 0.82572722695821443848573212317125
y[1] (numeric) = 0.8257272269582145289788328764826
absolute error = 9.049310075331135e-17
relative error = 1.0959200302340365165627058150301e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.65
y[1] (analytic) = 0.82611933083695381877194311950413
y[1] (numeric) = 0.82611933083695390925247707452669
absolute error = 9.048053395502256e-17
relative error = 1.0952477514762350517819029500753e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.651
y[1] (analytic) = 0.82651079740861625263145972867382
y[1] (numeric) = 0.82651079740861634309935641361959
absolute error = 9.046789668494577e-17
relative error = 1.0945761019528412948247055761159e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.652
y[1] (analytic) = 0.82690162592900803413236760475789
y[1] (numeric) = 0.82690162592900812458755655130116
absolute error = 9.045518894654327e-17
relative error = 1.0939050802435974072193723604392e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.653
y[1] (analytic) = 0.8272918156543850491180584171382
y[1] (numeric) = 0.82729181565438513956046916050308
absolute error = 9.044241074336488e-17
relative error = 1.0932346849318850894267378405400e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.654
y[1] (analytic) = 0.82768136584145387186687895266953
y[1] (numeric) = 0.82768136584145396229644103171767
absolute error = 9.042956207904814e-17
relative error = 1.0925649146047143665484810480449e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.655
y[1] (analytic) = 0.82807027574737286148919833135365
y[1] (numeric) = 0.82807027574737295190584128867184
absolute error = 9.041664295731819e-17
relative error = 1.0918957678527086792627300866877e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.656
y[1] (analytic) = 0.82845854462975325806044383486867
y[1] (numeric) = 0.8284585446297533484640972168564
absolute error = 9.040365338198773e-17
relative error = 1.0912272432700909995881986579602e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.657
y[1] (analytic) = 0.82884617174666027848865592358163
y[1] (numeric) = 0.82884617174666036887924928053882
absolute error = 9.039059335695719e-17
relative error = 1.0905593394546725364487079886558e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.658
y[1] (analytic) = 0.82923315635661421211511309575361
y[1] (numeric) = 0.8292331563566143024925759819682
absolute error = 9.037746288621459e-17
relative error = 1.0898920550078377516212803698994e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.659
y[1] (analytic) = 0.82961949771859151604657732252923
y[1] (numeric) = 0.82961949771859160641083929636487
absolute error = 9.036426197383564e-17
relative error = 1.0892253885345323275792639600236e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.66
y[1] (analytic) = 0.83000519509202591021771087398959
y[1] (numeric) = 0.83000519509202600056870149797324
absolute error = 9.035099062398365e-17
relative error = 1.0885593386432488968160803498446e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.661
y[1] (analytic) = 0.83039024773680947218221543503665
y[1] (numeric) = 0.83039024773680956251986427594631
absolute error = 9.033764884090966e-17
relative error = 1.0878939039460154772787047903529e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.662
y[1] (analytic) = 0.83077465491329373163124449517026
y[1] (numeric) = 0.83077465491329382195548112412257
absolute error = 9.032423662895231e-17
relative error = 1.0872290830583808272942269008510e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.663
y[1] (analytic) = 0.83115841588229076463764008331413
y[1] (numeric) = 0.83115841588229085494839407585209
absolute error = 9.031075399253796e-17
relative error = 1.0865648745994028658920469864250e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.664
y[1] (analytic) = 0.83154152990507428762454500774719
y[1] (numeric) = 0.83154152990507437792174594392777
absolute error = 9.029720093618058e-17
relative error = 1.0859012771916343761048619053467e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.665
y[1] (analytic) = 0.83192399624338075105694185189841
y[1] (numeric) = 0.83192399624338084134051931638024
absolute error = 9.028357746448183e-17
relative error = 1.0852382894611110484607345426039e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.666
y[1] (analytic) = 0.83230581415941043285467006927013
y[1] (numeric) = 0.83230581415941052312455365140127
absolute error = 9.026988358213114e-17
relative error = 1.0845759100373395742219337592928e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.667
y[1] (analytic) = 0.83268698291582853152547261506459
y[1] (numeric) = 0.83268698291582862178159190897008
absolute error = 9.025611929390549e-17
relative error = 1.0839141375532821853396988084609e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.668
y[1] (analytic) = 0.83306750177576625901662364820109
y[1] (numeric) = 0.83306750177576634925890825287075
absolute error = 9.024228460466966e-17
relative error = 1.0832529706453468953577806259114e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.669
y[1] (analytic) = 0.83344737000282193328368893532988
y[1] (numeric) = 0.83344737000282202351206845470593
absolute error = 9.022837951937605e-17
relative error = 1.0825924079533726244181770322478e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.67
y[1] (analytic) = 0.83382658686106207057497068816867
y[1] (numeric) = 0.83382658686106216078937473123349
absolute error = 9.021440404306482e-17
relative error = 1.0819324481206182192888407400475e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.671
y[1] (analytic) = 0.83420515161502247743018866701394
y[1] (numeric) = 0.83420515161502256763054684787772
absolute error = 9.020035818086378e-17
relative error = 1.0812730897937485230613901292672e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.672
y[1] (analytic) = 0.83458306352970934239194948660749
y[1] (numeric) = 0.834583063529709432578191424596
absolute error = 9.018624193798851e-17
relative error = 1.0806143316228232551812021002101e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=358.6MB, alloc=4.6MB, time=45.31
x[1] = 2.673
y[1] (analytic) = 0.83496032187060032742855616567297
y[1] (numeric) = 0.83496032187060041760061148541513
absolute error = 9.017205531974216e-17
relative error = 1.0799561722612821056688723691892e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.674
y[1] (analytic) = 0.83533692590364565906671006837342
y[1] (numeric) = 0.83533692590364574922450839988917
absolute error = 9.015779833151575e-17
relative error = 1.0792986103659358718113527231811e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.675
y[1] (analytic) = 0.8357128748952692192326574946843
y[1] (numeric) = 0.83571287489526930937612847347226
absolute error = 9.014347097878796e-17
relative error = 1.0786416445969515326741963877750e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.676
y[1] (analytic) = 0.83608816811236963580033328722109
y[1] (numeric) = 0.83608816811236972592940655434625
absolute error = 9.012907326712516e-17
relative error = 1.0779852736178402507969000033967e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.677
y[1] (analytic) = 0.83646280482232137284505393441199
y[1] (numeric) = 0.83646280482232146295965913659346
absolute error = 9.011460520218147e-17
relative error = 1.0773294960954457811901972546367e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.678
y[1] (analytic) = 0.83683678429297582060131276406135
y[1] (numeric) = 0.83683678429297591070137955376007
absolute error = 9.010006678969872e-17
relative error = 1.0766743106999317328076901563111e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.679
y[1] (analytic) = 0.83721010579266238512322993730866
y[1] (numeric) = 0.83721010579266247520868797281516
absolute error = 9.008545803550650e-17
relative error = 1.0760197161047699554376165766513e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.68
y[1] (analytic) = 0.83758276859018957764621007075276
y[1] (numeric) = 0.83758276859018966771698901627481
absolute error = 9.007077894552205e-17
relative error = 1.0753657109867270636321485896647e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.681
y[1] (analytic) = 0.83795477195484610364836043407911
y[1] (numeric) = 0.83795477195484619370438995982957
absolute error = 9.005602952575046e-17
relative error = 1.0747122940258547122782853840594e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.682
y[1] (analytic) = 0.83832611515640195161022279190281
y[1] (numeric) = 0.8383261151564020416514325741873
absolute error = 9.004120978228449e-17
relative error = 1.0740594639054753813791832144413e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.683
y[1] (analytic) = 0.83869679746510948147137208171726
y[1] (numeric) = 0.83869679746510957149769180302189
absolute error = 9.002631972130463e-17
relative error = 1.0734072193121710763110124745311e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.684
y[1] (analytic) = 0.83906681815170451278243524482262
y[1] (numeric) = 0.83906681815170460279379459390176
absolute error = 9.001135934907914e-17
relative error = 1.0727555589357718357502724364955e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.685
y[1] (analytic) = 0.83943617648740741255108365389626
y[1] (numeric) = 0.83943617648740750254741232586027
absolute error = 8.999632867196401e-17
relative error = 1.0721044814693433330214328929587e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.686
y[1] (analytic) = 0.83980487174392418278055270946035
y[1] (numeric) = 0.83980487174392427276178040586334
absolute error = 8.998122769640299e-17
relative error = 1.0714539856091753596993939528028e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.687
y[1] (analytic) = 0.84017290319344754769924230790035
y[1] (numeric) = 0.8401729031934476376652987368279
absolute error = 8.996605642892755e-17
relative error = 1.0708040700547695223414473425341e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.688
y[1] (analytic) = 0.8405402701086580406799520158912
y[1] (numeric) = 0.84054027010865813063076689204815
absolute error = 8.995081487615695e-17
relative error = 1.0701547335088282961535614781176e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.689
y[1] (analytic) = 0.84090697176272509084730492009657
y[1] (numeric) = 0.84090697176272518078280796489472
absolute error = 8.993550304479815e-17
relative error = 1.0695059746772422205340060523469e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.69
y[1] (analytic) = 0.84127300742930810937191425681978
y[1] (numeric) = 0.84127300742930819929203519846572
absolute error = 8.992012094164594e-17
relative error = 1.0688577922690797590436930517337e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.691
y[1] (analytic) = 0.8416383763825575754498470639043
y[1] (numeric) = 0.84163837638255766535451563748707
absolute error = 8.990466857358277e-17
relative error = 1.0682101849965736371755916589761e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.692
y[1] (analytic) = 0.84200307789711612196593923660472
y[1] (numeric) = 0.84200307789711621185508518418366
absolute error = 8.988914594757894e-17
relative error = 1.0675631515751115069917966452339e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.693
y[1] (analytic) = 0.84236711124811962083951651037954
y[1] (numeric) = 0.84236711124811971071306958107197
absolute error = 8.987355307069243e-17
relative error = 1.0669166907232223780759673573185e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.694
y[1] (analytic) = 0.84273047571119826805107603659028
y[1] (numeric) = 0.84273047571119835790896598665931
absolute error = 8.985788995006903e-17
relative error = 1.0662708011625666592153906847574e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.695
y[1] (analytic) = 0.84309317056247766834848336193228
y[1] (numeric) = 0.84309317056247775819063995487459
absolute error = 8.984215659294231e-17
relative error = 1.0656254816179243437197104772527e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.696
y[1] (analytic) = 0.8434551950785799196312397690673
y[1] (numeric) = 0.84345519507858000945759277570084
absolute error = 8.982635300663354e-17
relative error = 1.0649807308171826480522973044534e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.697
y[1] (analytic) = 0.84381654853662469701137508437818
y[1] (numeric) = 0.84381654853662478682185428292998
absolute error = 8.981047919855180e-17
relative error = 1.0643365474913259495407930589256e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.698
y[1] (analytic) = 0.84417723021423033654952120902268
y[1] (numeric) = 0.84417723021423042634405638521662
absolute error = 8.979453517619394e-17
relative error = 1.0636929303744239885983903143039e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.699
y[1] (analytic) = 0.84453723938951491866472178152419
y[1] (numeric) = 0.8445372393895150084432427286687
absolute error = 8.977852094714451e-17
relative error = 1.0630498782036197614667583088311e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7
memory used=362.4MB, alloc=4.6MB, time=45.78
y[1] (analytic) = 0.84489657534109735121653353400399
y[1] (numeric) = 0.84489657534109744097897005307987
absolute error = 8.976243651907588e-17
relative error = 1.0624073897191197081772248950601e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.701
y[1] (analytic) = 0.84525523734809845225797505983234
y[1] (numeric) = 0.84525523734809854200425695958059
absolute error = 8.974628189974825e-17
relative error = 1.0617654636641826395895217225338e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.702
y[1] (analytic) = 0.84561322469014203245787886795342
y[1] (numeric) = 0.84561322469014212218793596496285
absolute error = 8.973005709700943e-17
relative error = 1.0611240987851059880946373668953e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.703
y[1] (analytic) = 0.84597053664735597719120275842144
y[1] (numeric) = 0.84597053664735606690496487721658
absolute error = 8.971376211879514e-17
relative error = 1.0604832938312182553683480793891e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.704
y[1] (analytic) = 0.84632717250037332829585671477581
y[1] (numeric) = 0.84632717250037341799325368790462
absolute error = 8.969739697312881e-17
relative error = 1.0598430475548655866903301570560e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.705
y[1] (analytic) = 0.84668313153033336549460167177573
y[1] (numeric) = 0.84668313153033345517556333989736
absolute error = 8.968096166812163e-17
relative error = 1.0592033587114013471840349063400e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.706
y[1] (analytic) = 0.84703841301888268748057668171554
y[1] (numeric) = 0.84703841301888277714503289368813
absolute error = 8.966445621197259e-17
relative error = 1.0585642260591756215207279626863e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.707
y[1] (analytic) = 0.84739301624817629266501116904708
y[1] (numeric) = 0.84739301624817638231289178201552
absolute error = 8.964788061296844e-17
relative error = 1.0579256483595238111744186542559e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.708
y[1] (analytic) = 0.84774694050087865958567913134626
y[1] (numeric) = 0.84774694050087874921691401082992
absolute error = 8.963123487948366e-17
relative error = 1.0572876243767553934263021348582e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.709
y[1] (analytic) = 0.84810018506016482697465231477732
y[1] (numeric) = 0.84810018506016491658917133475789
absolute error = 8.961451901998057e-17
relative error = 1.0566501528781443743929221370224e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.71
y[1] (analytic) = 0.84845274920972147348390956413067
y[1] (numeric) = 0.84845274920972156308164260713985
absolute error = 8.959773304300918e-17
relative error = 1.0560132326339167165966815829315e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.711
y[1] (analytic) = 0.84880463223374799706735972123685
y[1] (numeric) = 0.84880463223374808664823667844423
absolute error = 8.958087695720738e-17
relative error = 1.0553768624172418185610646566246e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.712
y[1] (analytic) = 0.84915583341695759401783562109345
y[1] (numeric) = 0.8491558334169576835817863923941
absolute error = 8.956395077130065e-17
relative error = 1.0547410410042183779370138292694e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.713
y[1] (analytic) = 0.84950635204457833765761691237846
y[1] (numeric) = 0.84950635204457842720457140648089
absolute error = 8.954695449410243e-17
relative error = 1.0541057671738680738953226702643e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.714
y[1] (analytic) = 0.84985618740235425668103960816998
y[1] (numeric) = 0.84985618740235434621092774268378
absolute error = 8.952988813451380e-17
relative error = 1.0534710397081211610726756396227e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.715
y[1] (analytic) = 0.85020533877654641314775045363936
y[1] (numeric) = 0.85020533877654650266050215516303
absolute error = 8.951275170152367e-17
relative error = 1.0528368573918081125510902771188e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.716
y[1] (analytic) = 0.85055380545393398012516438024168
y[1] (numeric) = 0.85055380545393406962070958445036
absolute error = 8.949554520420868e-17
relative error = 1.0522032190126478887400647272745e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.717
y[1] (analytic) = 0.85090158672181531897868350048686
y[1] (numeric) = 0.85090158672181540845695215222009
absolute error = 8.947826865173323e-17
relative error = 1.0515701233612377777111753970444e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.718
y[1] (analytic) = 0.85124868186800905630823628374116
y[1] (numeric) = 0.85124868186800914576915833709067
absolute error = 8.946092205334951e-17
relative error = 1.0509375692310432752293338237658e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.719
y[1] (analytic) = 0.85159509018085516052969574168012
y[1] (numeric) = 0.85159509018085524997320116007757
absolute error = 8.944350541839745e-17
relative error = 1.0503055554183870648779531599595e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.72
y[1] (analytic) = 0.85194081094921601809973564199056
y[1] (numeric) = 0.85194081094921610752575439829531
absolute error = 8.942601875630475e-17
relative error = 1.0496740807224389788231250372333e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.721
y[1] (analytic) = 0.85228584346247750938268396070167
y[1] (numeric) = 0.85228584346247759879114603728854
absolute error = 8.940846207658687e-17
relative error = 1.0490431439452055283678353078963e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.722
y[1] (analytic) = 0.85263018701055008415793297711259
y[1] (numeric) = 0.85263018701055017354876836595961
absolute error = 8.939083538884702e-17
relative error = 1.0484127438915194745734413421256e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.723
y[1] (analytic) = 0.85297384088386983676646561067667
y[1] (numeric) = 0.85297384088386992613960431345284
absolute error = 8.937313870277617e-17
relative error = 1.0477828793690296732258499448876e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.724
y[1] (analytic) = 0.85331680437339958089505779640093
y[1] (numeric) = 0.85331680437339967025042982455397
absolute error = 8.935537202815304e-17
relative error = 1.0471535491881907245323124965320e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.725
y[1] (analytic) = 0.85365907677062992399671689432233
y[1] (numeric) = 0.85365907677063001333425226916647
absolute error = 8.933753537484414e-17
relative error = 1.0465247521622532480173850985534e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.726
y[1] (analytic) = 0.85400065736758034134591632943155
y[1] (numeric) = 0.85400065736758043066554508223518
absolute error = 8.931962875280363e-17
relative error = 1.0458964871072520875784542871721e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.727
y[1] (analytic) = 0.85434154545680024972718686102789
y[1] (numeric) = 0.85434154545680033902883903310143
absolute error = 8.930165217207354e-17
relative error = 1.0452687528419987730665138138586e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=366.2MB, alloc=4.6MB, time=46.25
NO POLE
x[1] = 2.728
y[1] (analytic) = 0.85468174033137008075562508490924
y[1] (numeric) = 0.85468174033137017003923072769278
absolute error = 8.928360564278354e-17
relative error = 1.0446415481880687492121201103217e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.729
y[1] (analytic) = 0.85502124128490235382787997802345
y[1] (numeric) = 0.85502124128490244309336915317459
absolute error = 8.926548917515114e-17
relative error = 1.0440148719697936785461602664385e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.73
y[1] (analytic) = 0.8553600476115427487021785032382
y[1] (numeric) = 0.85536004761154283794948128271969
absolute error = 8.924730277948149e-17
relative error = 1.0433887230142491006047774055524e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.731
y[1] (analytic) = 0.85569815860597117770595150171902
y[1] (numeric) = 0.85569815860597126693499796788661
absolute error = 8.922904646616759e-17
relative error = 1.0427631001512469261772558889133e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.732
y[1] (analytic) = 0.85603557356340285756962131204584
y[1] (numeric) = 0.85603557356340294678034155773589
absolute error = 8.921072024569005e-17
relative error = 1.0421380022133227068253127926473e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.733
y[1] (analytic) = 0.85637229177958938088511276864059
y[1] (numeric) = 0.85637229177958947007743689725791
absolute error = 8.919232412861732e-17
relative error = 1.0415134280357284370076553727259e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.734
y[1] (analytic) = 0.85670831255081978718764944732918
y[1] (numeric) = 0.85670831255081987636150757293473
absolute error = 8.917385812560555e-17
relative error = 1.0408893764564210685216148761164e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.735
y[1] (analytic) = 0.8570436351739216336593972429134
y[1] (numeric) = 0.85704363517392172281471949031195
absolute error = 8.915532224739855e-17
relative error = 1.0402658463160522329398511087198e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.736
y[1] (analytic) = 0.85737825894626206545351758248709
y[1] (numeric) = 0.85737825894626215459023408731505
absolute error = 8.913671650482796e-17
relative error = 1.0396428364579604516159036441593e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.737
y[1] (analytic) = 0.85771218316574888563719279889473
y[1] (numeric) = 0.85771218316574897475523370770783
absolute error = 8.911804090881310e-17
relative error = 1.0390203457281596471635832450074e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.738
y[1] (analytic) = 0.85804540713083162475218641119725
y[1] (numeric) = 0.8580454071308317138514818815582
absolute error = 8.909929547036095e-17
relative error = 1.0383983729753292108975892715690e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.739
y[1] (analytic) = 0.85837793014050260999150128328274
y[1] (numeric) = 0.85837793014050269907198148384905
absolute error = 8.908048020056631e-17
relative error = 1.0377769170508062044016299413839e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.74
y[1] (analytic) = 0.85870975149429803399069885783689
y[1] (numeric) = 0.85870975149429812305229396844849
absolute error = 8.906159511061160e-17
relative error = 1.0371559768085734008647810368156e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.741
y[1] (analytic) = 0.8590408704922990232324428907682
y[1] (numeric) = 0.85904087049229911227508310253519
absolute error = 8.904264021176699e-17
relative error = 1.0365355511052512095788678127408e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.742
y[1] (analytic) = 0.85937128643513270606283134086959
y[1] (numeric) = 0.85937128643513279508644685625998
absolute error = 8.902361551539039e-17
relative error = 1.0359156388000880039132598447157e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.743
y[1] (analytic) = 0.8597009986239732803180803009875
y[1] (numeric) = 0.85970099862397336932260133391481
absolute error = 8.900452103292731e-17
relative error = 1.0352962387549489733209592408195e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.744
y[1] (analytic) = 0.86003000636054308056012409026326
y[1] (numeric) = 0.86003000636054316954548086617428
absolute error = 8.898535677591102e-17
relative error = 1.0346773498343085030744301883572e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.745
y[1] (analytic) = 0.86035830894711364491969586211054
y[1] (numeric) = 0.86035830894711373388581861807307
absolute error = 8.896612275596253e-17
relative error = 1.0340589709052404931318777259180e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.746
y[1] (analytic) = 0.86068590568650678154545331949449
y[1] (numeric) = 0.86068590568650687049227230428491
absolute error = 8.894681898479042e-17
relative error = 1.0334411008374069701389166557679e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.747
y[1] (analytic) = 0.86101279588209563465771436778401
y[1] (numeric) = 0.86101279588209572358515984197506
absolute error = 8.892744547419105e-17
relative error = 1.0328237385030511525622541653917e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.748
y[1] (analytic) = 0.8613389788378057502053677759598
y[1] (numeric) = 0.86133897883780583911337001200823
absolute error = 8.890800223604843e-17
relative error = 1.0322068827769865979615317358929e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.749
y[1] (analytic) = 0.86166445385811614112452415927374
y[1] (numeric) = 0.86166445385811623001301344160796
absolute error = 8.888848928233422e-17
relative error = 1.0315905325365878972833875375117e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.75
y[1] (analytic) = 0.86198922024806035219747284057325
y[1] (numeric) = 0.86198922024806044106637946568109
absolute error = 8.886890662510784e-17
relative error = 1.0309746866617826799736532476868e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.751
y[1] (analytic) = 0.86231327731322752451051039342589
y[1] (numeric) = 0.86231327731322761335976466994213
absolute error = 8.884925427651624e-17
relative error = 1.0303593440350397078620316650550e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.752
y[1] (analytic) = 0.86263662435976345950920691790323
y[1] (numeric) = 0.86263662435976354833873916669737
absolute error = 8.882953224879414e-17
relative error = 1.0297445035413624578445543342906e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.753
y[1] (analytic) = 0.86295926069437168264967634941271
y[1] (numeric) = 0.86295926069437177145941690367658
absolute error = 8.880974055426387e-17
relative error = 1.0291301640682780972885930289219e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.754
y[1] (analytic) = 0.86328118562431450664441735229655
y[1] (numeric) = 0.86328118562431459543429655763196
absolute error = 8.878987920533541e-17
relative error = 1.0285163245058288143861423586964e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=370.0MB, alloc=4.6MB, time=46.75
NO POLE
x[1] = 2.755
y[1] (analytic) = 0.86360239845741409430129160305224
y[1] (numeric) = 0.86360239845741418307123981755868
absolute error = 8.876994821450644e-17
relative error = 1.0279029837465632971296711082947e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.756
y[1] (analytic) = 0.86392289850205352095420652296728
y[1] (numeric) = 0.86392289850205360970415411732949
absolute error = 8.874994759436221e-17
relative error = 1.0272901406855261611867699616199e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.757
y[1] (analytic) = 0.86424268506717783648406977670113
y[1] (numeric) = 0.86424268506717792521394713427678
absolute error = 8.872987735757565e-17
relative error = 1.0266777942202501916669929282109e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.758
y[1] (analytic) = 0.86456175746229512692858311189223
y[1] (numeric) = 0.86456175746229521563832062879952
absolute error = 8.870973751690729e-17
relative error = 1.0260659432507464177921066992122e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.759
y[1] (analytic) = 0.86488011499747757567944337521394
y[1] (numeric) = 0.86488011499747766436897146041924
absolute error = 8.868952808520530e-17
relative error = 1.0254545866794956103124959708580e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.76
y[1] (analytic) = 0.86519775698336252426551880245332
y[1] (numeric) = 0.86519775698336261293476787785884
absolute error = 8.866924907540552e-17
relative error = 1.0248437234114396953757858481310e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.761
y[1] (analytic) = 0.86551468273115353272056894413866
y[1] (numeric) = 0.86551468273115362136946944466997
absolute error = 8.864890050053131e-17
relative error = 1.0242333523539711208459462684310e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.762
y[1] (analytic) = 0.86583089155262143953407685399582
y[1] (numeric) = 0.86583089155262152816255922768954
absolute error = 8.862848237369372e-17
relative error = 1.0236234724169259550385895932944e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.763
y[1] (analytic) = 0.86614638276010542118376243507135
y[1] (numeric) = 0.8661463827601055097917571431627
absolute error = 8.860799470809135e-17
relative error = 1.0230140825125734346539821634262e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.764
y[1] (analytic) = 0.86646115566651405124834610771867
y[1] (numeric) = 0.86646115566651413983578362472911
absolute error = 8.858743751701044e-17
relative error = 1.0224051815556082031445145944282e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.765
y[1] (analytic) = 0.86677520958532635909913223480571
y[1] (numeric) = 0.86677520958532644766594304863047
absolute error = 8.856681081382476e-17
relative error = 1.0217967684631402716736111472012e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.766
y[1] (analytic) = 0.86708854383059288816898201246515
y[1] (numeric) = 0.86708854383059297671509662446089
absolute error = 8.854611461199574e-17
relative error = 1.0211888421546877828240422109598e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.767
y[1] (analytic) = 0.86740115771693675379724580947457
y[1] (numeric) = 0.86740115771693684232259473454691
absolute error = 8.852534892507234e-17
relative error = 1.0205814015521668055434080135821e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.768
y[1] (analytic) = 0.86771305055955470064922521491993
y[1] (numeric) = 0.86771305055955478915373898161103
absolute error = 8.850451376669110e-17
relative error = 1.0199744455798832395498592296315e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.769
y[1] (analytic) = 0.86802422167421815970873533216515
y[1] (numeric) = 0.86802422167421824819234448274127
absolute error = 8.848360915057612e-17
relative error = 1.0193679731645239437010953678298e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.77
y[1] (analytic) = 0.8683346703772743048423381373205
y[1] (numeric) = 0.86833467037727439330497322785961
absolute error = 8.846263509053911e-17
relative error = 1.0187619832351487024872075343962e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.771
y[1] (analytic) = 0.86864439598564710893381800237444
y[1] (numeric) = 0.86864439598564719737540960285366
absolute error = 8.844159160047922e-17
relative error = 1.0181564747231796899430289799000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.772
y[1] (analytic) = 0.86895339781683839958747076692541
y[1] (numeric) = 0.86895339781683848800794946130864
absolute error = 8.842047869438323e-17
relative error = 1.0175514465623951118428706649486e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.773
y[1] (analytic) = 0.86926167518892891439877802802539
y[1] (numeric) = 0.86926167518892900279807441435089
absolute error = 8.839929638632550e-17
relative error = 1.0169468976889201132885872768942e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.774
y[1] (analytic) = 0.86956922742057935579103860502089
y[1] (numeric) = 0.86956922742057944416908329548871
absolute error = 8.837804469046782e-17
relative error = 1.0163428270412165684195286790124e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.775
y[1] (analytic) = 0.86987605383103144541652942545274
y[1] (numeric) = 0.86987605383103153377325304651228
absolute error = 8.835672362105954e-17
relative error = 1.0157392335600761233604072619863e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.776
y[1] (analytic) = 0.870182153740108978120768369053
y[1] (numeric) = 0.87018215374010906645610156149054
absolute error = 8.833533319243754e-17
relative error = 1.0151361161886114278813084411222e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.777
y[1] (analytic) = 0.87048752646821887546845189965372
y[1] (numeric) = 0.87048752646821896378232531867995
absolute error = 8.831387341902623e-17
relative error = 1.0145334738722477428567243306145e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.778
y[1] (analytic) = 0.87079217133635223882964060939977
y[1] (numeric) = 0.87079217133635232712198492473728
absolute error = 8.829234431533751e-17
relative error = 1.0139313055587141186595097207798e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.779
y[1] (analytic) = 0.8710960876660854020247660960352
y[1] (numeric) = 0.87109608766608549029551199200589
absolute error = 8.827074589597069e-17
relative error = 1.0133296101980341454657951048358e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.78
y[1] (analytic) = 0.87139927477958098352703289221014
y[1] (numeric) = 0.87139927477958107177611106782282
absolute error = 8.824907817561268e-17
relative error = 1.0127283867425198339303654839622e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.781
y[1] (analytic) = 0.87170173199958893822078946573331
y[1] (numeric) = 0.87170173199958902644813063477117
absolute error = 8.822734116903786e-17
relative error = 1.0121276341467618501715682224003e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=373.8MB, alloc=4.6MB, time=47.24
x[1] = 2.782
y[1] (analytic) = 0.87200345864944760871444261147172
y[1] (numeric) = 0.87200345864944769691997750257971
absolute error = 8.820553489110799e-17
relative error = 1.0115273513676202422869810024402e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.783
y[1] (analytic) = 0.87230445405308477620648985917593
y[1] (numeric) = 0.87230445405308486439014921594831
absolute error = 8.818365935677238e-17
relative error = 1.0109275373642181791703227537529e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.784
y[1] (analytic) = 0.87260471753501871090324482688646
y[1] (numeric) = 0.87260471753501879906495940795423
absolute error = 8.816171458106777e-17
relative error = 1.0103281910979323913161668323460e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.785
y[1] (analytic) = 0.87290424842035922198683075675134
y[1] (numeric) = 0.87290424842035931012653133586967
absolute error = 8.813970057911833e-17
relative error = 1.0097293115323850184618970679517e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.786
y[1] (analytic) = 0.8732030460348087071320177790601
y[1] (numeric) = 0.87320304603480879524963514519577
absolute error = 8.811761736613567e-17
relative error = 1.0091308976334356008721567456367e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.787
y[1] (analytic) = 0.87350110970466320157047976107287
y[1] (numeric) = 0.87350110970466328966594471849174
absolute error = 8.809546495741887e-17
relative error = 1.0085329483691733283338773154467e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.788
y[1] (analytic) = 0.87379843875681342670104690979589
y[1] (numeric) = 0.87379843875681351477429027815029
absolute error = 8.807324336835440e-17
relative error = 1.0079354627099080584222893709887e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.789
y[1] (analytic) = 0.87409503251874583824453061222518
y[1] (numeric) = 0.87409503251874592629548322664131
absolute error = 8.805095261441613e-17
relative error = 1.0073384396281623949776108608029e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.79
y[1] (analytic) = 0.87439089031854367394169731274994
y[1] (numeric) = 0.87439089031854376197029002391529
absolute error = 8.802859271116535e-17
relative error = 1.0067418780986639092723017970939e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.791
y[1] (analytic) = 0.87468601148488800079296854537471
y[1] (numeric) = 0.87468601148488808879913221962551
absolute error = 8.800616367425080e-17
relative error = 1.0061457770983375034638565533431e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.792
y[1] (analytic) = 0.8749803953470587618384245581853
y[1] (numeric) = 0.87498039534705884982209007759378
absolute error = 8.798366551940848e-17
relative error = 1.0055501356062952873018591983538e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.793
y[1] (analytic) = 0.87527404123493582247668928904611
y[1] (numeric) = 0.87527404123493591043778755150799
absolute error = 8.796109826246188e-17
relative error = 1.0049549526038312858612433070282e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.794
y[1] (analytic) = 0.87556694847900001632127477487936
y[1] (numeric) = 0.87556694847900010425973669420118
absolute error = 8.793846191932182e-17
relative error = 1.0043602270744117157320076786666e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.795
y[1] (analytic) = 0.87585911641033419059296340203399
y[1] (numeric) = 0.87585911641033427850871990802043
absolute error = 8.791575650598644e-17
relative error = 1.0037659580036670053655008199057e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.796
y[1] (analytic) = 0.87615054436062425104680673220886
y[1] (numeric) = 0.87615054436062433893978877075019
absolute error = 8.789298203854133e-17
relative error = 1.0031721443793854412788734803059e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.797
y[1] (analytic) = 0.87644123166216020643231996714846
y[1] (numeric) = 0.87644123166216029430245850030777
absolute error = 8.787013853315931e-17
relative error = 1.0025787851915028454804973670954e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.798
y[1] (analytic) = 0.87673117764783721248545144587842
y[1] (numeric) = 0.87673117764783730033267745197903
absolute error = 8.784722600610061e-17
relative error = 1.0019858794320968477649184145643e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.799
y[1] (analytic) = 0.87702038165115661545090690059659
y[1] (numeric) = 0.87702038165115670327515137430929
absolute error = 8.782424447371270e-17
relative error = 1.0013934260953771904748315255672e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8
y[1] (analytic) = 0.87730884300622699513340853147736
y[1] (numeric) = 0.87730884300622708293460248390785
absolute error = 8.780119395243049e-17
relative error = 1.0008014241776802817455896286617e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.801
y[1] (analytic) = 0.87759656104776520747646929658852
y[1] (numeric) = 0.87759656104776529525454375536456
absolute error = 8.777807445877604e-17
relative error = 1.0002098726774581878877124165784e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.802
y[1] (analytic) = 0.87788353511109742666726315085402
y[1] (numeric) = 0.8778835351110975144221491602128
absolute error = 8.775488600935878e-17
relative error = 9.9961877059527346863678433079183e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.803
y[1] (analytic) = 0.87816976453216018676617230752977
y[1] (numeric) = 0.87816976453216027449780092840526
absolute error = 8.773162862087549e-17
relative error = 9.9902811693379130132275448482034e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.804
y[1] (analytic) = 0.87845524864750142285959293698662
y[1] (numeric) = 0.87845524864750151056789524709666
absolute error = 8.770830231011004e-17
relative error = 9.9843791069776890010250749722969e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.805
y[1] (analytic) = 0.878739986794281511734581060717
y[1] (numeric) = 0.87873998679428159941948815465076
absolute error = 8.768490709393376e-17
relative error = 9.9784815089405213685850858129153e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.806
y[1] (analytic) = 0.87902397831027431207392074340261
y[1] (numeric) = 0.87902397831027439973536373270769
absolute error = 8.766144298930508e-17
relative error = 9.9725883653156387565064856244138e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.807
y[1] (analytic) = 0.8793072225338682041701970325915
y[1] (numeric) = 0.87930722253386829180810704586127
absolute error = 8.763791001326977e-17
relative error = 9.9666996662129916495729270362519e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.808
y[1] (analytic) = 0.87958971880406712915745644404406
y[1] (numeric) = 0.87958971880406721677176462700478
absolute error = 8.761430818296072e-17
relative error = 9.9608154017631522107411970577155e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=377.6MB, alloc=4.6MB, time=47.74
x[1] = 2.809
y[1] (analytic) = 0.87987146646049162775903814110852
y[1] (numeric) = 0.87987146646049171534967565670671
absolute error = 8.759063751559819e-17
relative error = 9.9549355621172678405328398084382e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.81
y[1] (analytic) = 0.88015246484337987855015930858659
y[1] (numeric) = 0.88015246484337996611705733707608
absolute error = 8.756689802848949e-17
relative error = 9.9490601374469501792950270943170e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.811
y[1] (analytic) = 0.8804327132935887357338385754395
y[1] (numeric) = 0.88043271329358882327692831446874
absolute error = 8.754308973902924e-17
relative error = 9.9431891179442303136006849895906e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.812
y[1] (analytic) = 0.88071221115259476642874169637314
y[1] (numeric) = 0.88071221115259485394795436107235
absolute error = 8.751921266469921e-17
relative error = 9.9373224938214664939262802740616e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.813
y[1] (analytic) = 0.88099095776249528746753405981905
y[1] (numeric) = 0.88099095776249537496280088288734
absolute error = 8.749526682306829e-17
relative error = 9.9314602553112668983434824733584e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.814
y[1] (analytic) = 0.88126895246600940170432494910229
y[1] (numeric) = 0.88126895246600948917557718089493
absolute error = 8.747125223179264e-17
relative error = 9.9256023926664330816439557566442e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.815
y[1] (analytic) = 0.88154619460647903382978884465431
y[1] (numeric) = 0.88154619460647912127695775326978
absolute error = 8.744716890861547e-17
relative error = 9.9197488961598616732532256876674e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.816
y[1] (analytic) = 0.88182268352786996569254941798781
y[1] (numeric) = 0.88182268352787005311556628935502
absolute error = 8.742301687136721e-17
relative error = 9.9138997560844906003356979916700e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.817
y[1] (analytic) = 0.88209841857477287112541223280459
y[1] (numeric) = 0.88209841857477295852420837076996
absolute error = 8.739879613796537e-17
relative error = 9.9080549627532103813272544708589e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.818
y[1] (analytic) = 0.88237339909240435027503253505195
y[1] (numeric) = 0.88237339909240443764953926146652
absolute error = 8.737450672641457e-17
relative error = 9.9022145064987949645147642502425e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.819
y[1] (analytic) = 0.8826476244266079634336048819814
y[1] (numeric) = 0.88264762442660805078375353678797
absolute error = 8.735014865480657e-17
relative error = 9.8963783776738328079747977986884e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.82
y[1] (analytic) = 0.88292109392385526437116173029359
y[1] (numeric) = 0.88292109392385535169688367161382
absolute error = 8.732572194132023e-17
relative error = 9.8905465666506502715205576365195e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.821
y[1] (analytic) = 0.8831938069312468331670684752752
y[1] (numeric) = 0.88319380693124692046829507949665
absolute error = 8.730122660422145e-17
relative error = 9.8847190638212329979478218283493e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.822
y[1] (analytic) = 0.88346576279651330853930280644687
y[1] (numeric) = 0.88346576279651339581596546831009
absolute error = 8.727666266186322e-17
relative error = 9.8788958595971600019481527771598e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.823
y[1] (analytic) = 0.88373696086801641967010662064697
y[1] (numeric) = 0.88373696086801650692213675333255
absolute error = 8.725203013268558e-17
relative error = 9.8730769444095278074441577915850e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.824
y[1] (analytic) = 0.88400740049475001752659911067169
y[1] (numeric) = 0.88400740049475010475392814588734
absolute error = 8.722732903521565e-17
relative error = 9.8672623087088827535003999436252e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.825
y[1] (analytic) = 0.88427708102634110567494002657958
y[1] (numeric) = 0.8842770810263411928774994146471
absolute error = 8.720255938806752e-17
relative error = 9.8614519429651377024234021281197e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.826
y[1] (analytic) = 0.88454600181305087058663248754602
y[1] (numeric) = 0.8845460018130509577643536974884
absolute error = 8.717772120994238e-17
relative error = 9.8556458376675161425447507002425e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.827
y[1] (analytic) = 0.88481416220577571143555510472223
y[1] (numeric) = 0.88481416220577579858836962435056
absolute error = 8.715281451962833e-17
relative error = 9.8498439833244603365674737051700e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.828
y[1] (analytic) = 0.88508156155604826938431355991088
y[1] (numeric) = 0.88508156155604835651215289591143
absolute error = 8.712783933600055e-17
relative error = 9.8440463704635804202058084398864e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.829
y[1] (analytic) = 0.8853481992160384563585021710199
y[1] (numeric) = 0.88534819921603854346129784904104
absolute error = 8.710279567802114e-17
relative error = 9.8382529896315664283127742875094e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.83
y[1] (analytic) = 0.88561407453855448330746636319308
y[1] (numeric) = 0.8856140745385545703851499279323
absolute error = 8.707768356473922e-17
relative error = 9.8324638313941299465439426631537e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.831
y[1] (analytic) = 0.88587918687704388795015735424437
y[1] (numeric) = 0.88587918687704397500266036953525
absolute error = 8.705250301529088e-17
relative error = 9.8266788863359290438168330461313e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.832
y[1] (analytic) = 0.88614353558559456200467075453893
y[1] (numeric) = 0.88614353558559464903192480343795
absolute error = 8.702725404889902e-17
relative error = 9.8208981450604810339792459703610e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.833
y[1] (analytic) = 0.886407120018935777900061174769
y[1] (numeric) = 0.88640712001893586490199785964261
absolute error = 8.700193668487361e-17
relative error = 9.8151215981901228832126013984559e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.834
y[1] (analytic) = 0.88666993953243921496902533016789
y[1] (numeric) = 0.8866699395324393019455762727794
absolute error = 8.697655094261151e-17
relative error = 9.8093492363659221712176714499735e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.835
y[1] (analytic) = 0.88693199348211998512004652658638
y[1] (numeric) = 0.88693199348212007207114336818283
absolute error = 8.695109684159645e-17
relative error = 9.8035810502476063572683119161737e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.836
y[1] (analytic) = 0.88719328122463765798759381252691
y[1] (numeric) = 0.88719328122463774491316821392593
memory used=381.4MB, alloc=4.6MB, time=48.24
absolute error = 8.692557440139902e-17
relative error = 9.7978170305134934051360200269364e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.837
y[1] (analytic) = 0.8874538021172972855589694816887
y[1] (numeric) = 0.88745380211729737245895312336551
absolute error = 8.689998364167681e-17
relative error = 9.7920571678604395388817321934212e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.838
y[1] (analytic) = 0.88771355551805042627639901282329
y[1] (numeric) = 0.88771355551805051315072359499739
absolute error = 8.687432458217410e-17
relative error = 9.7863014530037365043976052201926e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.839
y[1] (analytic) = 0.88797254078549616861295793773122
y[1] (numeric) = 0.88797254078549625546155518045338
absolute error = 8.684859724272216e-17
relative error = 9.7805498766770778124988156982411e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.84
y[1] (analytic) = 0.88823075727888215412093053405232
y[1] (numeric) = 0.88823075727888224094373217729132
absolute error = 8.682280164323900e-17
relative error = 9.7748024296324632252264972505919e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.841
y[1] (analytic) = 0.88848820435810559995119564710648
y[1] (numeric) = 0.888488204358105686748133450836
absolute error = 8.679693780372952e-17
relative error = 9.7690591026401485338013115963629e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.842
y[1] (analytic) = 0.88874488138371432084223535443599
y[1] (numeric) = 0.88874488138371440761324109872137
absolute error = 8.677100574428538e-17
relative error = 9.7633198864885640231221205571395e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.843
y[1] (analytic) = 0.88900078771690775057736259787816
y[1] (numeric) = 0.8890007877169078373223680829632
absolute error = 8.674500548508504e-17
relative error = 9.7575847719842523042095373895182e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.844
y[1] (analytic) = 0.88925592271953796290876432096216
y[1] (numeric) = 0.88925592271953804962770136735587
absolute error = 8.671893704639371e-17
relative error = 9.7518537499517962368717182254366e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.845
y[1] (analytic) = 0.88951028575411069194695706417343
y[1] (numeric) = 0.88951028575411077863975751273688
absolute error = 8.669280044856345e-17
relative error = 9.7461268112337639430191817042015e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.846
y[1] (analytic) = 0.88976387618378635201425238716493
y[1] (numeric) = 0.88976387618378643868084809919792
absolute error = 8.666659571203299e-17
relative error = 9.7404039466906225483720402254617e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.847
y[1] (analytic) = 0.89001669337238105696082990531343
y[1] (numeric) = 0.89001669337238114360115276264121
absolute error = 8.664032285732778e-17
relative error = 9.7346851472006780166139192492836e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.848
y[1] (analytic) = 0.89026873668436763894201614812441
y[1] (numeric) = 0.89026873668436772555599805318445
absolute error = 8.661398190506004e-17
relative error = 9.7289704036600151883918808372082e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.849
y[1] (analytic) = 0.890520005484876666655367868878
y[1] (numeric) = 0.89052000548487675324294074480665
absolute error = 8.658757287592865e-17
relative error = 9.7232597069824200572045714451285e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.85
y[1] (analytic) = 0.89077049913969746303615885858054
y[1] (numeric) = 0.89077049913969754959725464929977
absolute error = 8.656109579071923e-17
relative error = 9.7175530480993236084497134805409e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.851
y[1] (analytic) = 0.89102021701527912240986974274367
y[1] (numeric) = 0.89102021701527920894442041304772
absolute error = 8.653455067030405e-17
relative error = 9.7118504179597267753551418139579e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.852
y[1] (analytic) = 0.89126915847873152710028066675194
y[1] (numeric) = 0.89126915847873161360821820239392
absolute error = 8.650793753564198e-17
relative error = 9.7061518075301301101613473973696e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.853
y[1] (analytic) = 0.8915173228978263634917672046031
y[1] (numeric) = 0.89151732289782644997302361238171
absolute error = 8.648125640777861e-17
relative error = 9.7004572077944827424434245411517e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.854
y[1] (analytic) = 0.89176470964099813754440025661106
y[1] (numeric) = 0.89176470964099822399890756445717
absolute error = 8.645450730784611e-17
relative error = 9.6947666097541023673992249498801e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.855
y[1] (analytic) = 0.89201131807734518976045113424889
y[1] (numeric) = 0.89201131807734527618814139131218
absolute error = 8.642769025706329e-17
relative error = 9.6890800044276178886480823535778e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.856
y[1] (analytic) = 0.89225714757663070960090346467989
y[1] (numeric) = 0.89225714757663079600170874141542
absolute error = 8.640080527673553e-17
relative error = 9.6833973828508976860895409434658e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.857
y[1] (analytic) = 0.89250219750928374935057398367611
y[1] (numeric) = 0.89250219750928383572442637193092
absolute error = 8.637385238825481e-17
relative error = 9.6777187360769893062015766929270e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.858
y[1] (analytic) = 0.89274646724640023743044472355745
y[1] (numeric) = 0.89274646724640032377727633665711
absolute error = 8.634683161309966e-17
relative error = 9.6720440551760503896420345931232e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.859
y[1] (analytic) = 0.89298995615974399115580954249839
y[1] (numeric) = 0.89298995615974407747555251533358
absolute error = 8.631974297283519e-17
relative error = 9.6663733312352887696604695132075e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.86
y[1] (analytic) = 0.89323266362174772893883838304513
y[1] (numeric) = 0.89323266362174781523142487215811
absolute error = 8.629258648911298e-17
relative error = 9.6607065553588870935198476989515e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.861
y[1] (analytic) = 0.89347458900551408193416309096097
y[1] (numeric) = 0.89347458900551416819952527463213
absolute error = 8.626536218367116e-17
relative error = 9.6550437186679489301707921700066e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.862
y[1] (analytic) = 0.89371573168481660512608907057418
y[1] (numeric) = 0.89371573168481669136415914890852
absolute error = 8.623807007833434e-17
relative error = 9.6493848123004282793419650605876e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.863
y[1] (analytic) = 0.8939560910341007878560374996377
y[1] (numeric) = 0.89395609103410087406674769465137
absolute error = 8.621071019501367e-17
relative error = 9.6437298274110738342902725868860e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=385.3MB, alloc=4.6MB, time=48.72
NO POLE
x[1] = 2.864
y[1] (analytic) = 0.89419566642848506378882327532564
y[1] (numeric) = 0.89419566642848514997210583103234
absolute error = 8.618328255570670e-17
relative error = 9.6380787551713510651131932589451e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.865
y[1] (analytic) = 0.89443445724376182031637431338493
y[1] (numeric) = 0.89443445724376190647216149588238
absolute error = 8.615578718249745e-17
relative error = 9.6324315867693880026092869214075e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.866
y[1] (analytic) = 0.89467246285639840739749827463436
y[1] (numeric) = 0.89467246285639849352572237219074
absolute error = 8.612822409755638e-17
relative error = 9.6267883134099100281046814751153e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.867
y[1] (analytic) = 0.89490968264353814583230324695408
y[1] (numeric) = 0.89490968264353823193289657009445
absolute error = 8.610059332314037e-17
relative error = 9.6211489263141759809268886770528e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.868
y[1] (analytic) = 0.8951461159830013349698793666384
y[1] (numeric) = 0.89514611598300142104277424823109
absolute error = 8.607289488159269e-17
relative error = 9.6155134167199133461508004353658e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.869
y[1] (analytic) = 0.89538176225328625984784882049201
y[1] (numeric) = 0.895381762253286345892977615835
absolute error = 8.604512879534299e-17
relative error = 9.6098817758812558741921675892428e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.87
y[1] (analytic) = 0.89561662083357019776239212933439
y[1] (numeric) = 0.89561662083357028377968721624165
absolute error = 8.601729508690726e-17
relative error = 9.6042539950686780443738944461001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.871
y[1] (analytic) = 0.89585069110371042426735907463891
y[1] (numeric) = 0.89585069110371051025675285352679
absolute error = 8.598939377888788e-17
relative error = 9.5986300655689397727041733149823e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.872
y[1] (analytic) = 0.89608397244424521860107309287189
y[1] (numeric) = 0.89608397244424530456249798684546
absolute error = 8.596142489397357e-17
relative error = 9.5930099786850201411445373963499e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.873
y[1] (analytic) = 0.89631646423639486853943842671138
y[1] (numeric) = 0.89631646423639495447282688165067
absolute error = 8.593338845493929e-17
relative error = 9.5873937257360457461917052048186e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.874
y[1] (analytic) = 0.89654816586206267467395978871607
y[1] (numeric) = 0.89654816586206276057924427336245
absolute error = 8.590528448464638e-17
relative error = 9.5817812980572460220872173554238e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.875
y[1] (analytic) = 0.89677907670383595411328476118213
y[1] (numeric) = 0.89677907670383603999039776722449
absolute error = 8.587711300604236e-17
relative error = 9.5761726869998708133237801952706e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.876
y[1] (analytic) = 0.89700919614498704360687962586597
y[1] (numeric) = 0.8970091961449871294557536680271
absolute error = 8.584887404216113e-17
relative error = 9.5705678839311527602999872578539e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.877
y[1] (analytic) = 0.89723852356947430208944978896951
y[1] (numeric) = 0.89723852356947438791001740509221
absolute error = 8.582056761612270e-17
relative error = 9.5649668802342174527541068927547e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.878
y[1] (analytic) = 0.89746705836194311264471644027347
y[1] (numeric) = 0.8974670583619431984369101914069
absolute error = 8.579219375113343e-17
relative error = 9.5593696673080506401083266339794e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.879
y[1] (analytic) = 0.89769479990772688388716156057187
y[1] (numeric) = 0.89769479990772696965091403105767
absolute error = 8.576375247048580e-17
relative error = 9.5537762365674132277393848819921e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.88
y[1] (analytic) = 0.89792174759284805076035386859813
y[1] (numeric) = 0.89792174759284813649559766615666
absolute error = 8.573524379755853e-17
relative error = 9.5481865794427954734469394839616e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.881
y[1] (analytic) = 0.89814790080401907475046877744721
y[1] (numeric) = 0.89814790080401916045713653326362
absolute error = 8.570666775581641e-17
relative error = 9.5426006873803390562058570027254e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.882
y[1] (analytic) = 0.89837325892864344351361591108268
y[1] (numeric) = 0.89837325892864352919164027989321
absolute error = 8.567802436881053e-17
relative error = 9.5370185518418038787663788431411e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.883
y[1] (analytic) = 0.8985978213548166699155882138775
y[1] (numeric) = 0.89859782135481675556490187405546
absolute error = 8.564931366017796e-17
relative error = 9.5314401643044738046407967275983e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.884
y[1] (analytic) = 0.89882158747132729048264717026589
y[1] (numeric) = 0.89882158747132737610318282390791
absolute error = 8.562053565364202e-17
relative error = 9.5258655162611282685164964168811e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.885
y[1] (analytic) = 0.89904455666765786326195913748858
y[1] (numeric) = 0.89904455666765794885364951050061
absolute error = 8.559169037301203e-17
relative error = 9.5202945992199561800810619980047e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.886
y[1] (analytic) = 0.89926672833398596509029828208577
y[1] (numeric) = 0.89926672833398605065307612426918
absolute error = 8.556277784218341e-17
relative error = 9.5147274047045089665195035368935e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.887
y[1] (analytic) = 0.89948810186118518826963210023878
y[1] (numeric) = 0.89948810186118527380343018537644
absolute error = 8.553379808513766e-17
relative error = 9.5091639242536404332099497816818e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.888
y[1] (analytic) = 0.89970867664082613664820599327707
y[1] (numeric) = 0.89970867664082622215295711921933
absolute error = 8.550475112594226e-17
relative error = 9.5036041494214379107447888395218e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.889
y[1] (analytic) = 0.8999284520651774211057438626532
y[1] (numeric) = 0.89992845206517750658138085140399
absolute error = 8.547563698875079e-17
relative error = 9.4980480717771780385305346007832e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.89
y[1] (analytic) = 0.90014742752720665444138218344586
y[1] (numeric) = 0.90014742752720673988783788124862
absolute error = 8.544645569780276e-17
relative error = 9.4924956829052504848367015573175e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=389.1MB, alloc=4.6MB, time=49.21
NO POLE
x[1] = 2.891
y[1] (analytic) = 0.90036560242058144566295551197579
y[1] (numeric) = 0.90036560242058153108016278939953
absolute error = 8.541720727742374e-17
relative error = 9.4869469744051151862828438564202e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.892
y[1] (analytic) = 0.90058297613967039367625188141601
y[1] (numeric) = 0.90058297613967047906414363344114
absolute error = 8.538789175202513e-17
relative error = 9.4814019378912197633324526061723e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.893
y[1] (analytic) = 0.90079954807954408037285703934031
y[1] (numeric) = 0.90079954807954416573136618544469
absolute error = 8.535850914610438e-17
relative error = 9.4758605649929670986204945455913e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.894
y[1] (analytic) = 0.90101531763597606311520698298801
y[1] (numeric) = 0.90101531763597614844426646723287
absolute error = 8.532905948424486e-17
relative error = 9.4703228473546442042443059722733e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.895
y[1] (analytic) = 0.9012302842054438666174687516222
y[1] (numeric) = 0.90123028420544395191701154273794
absolute error = 8.529954279111574e-17
relative error = 9.4647887766353523879257606293170e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.896
y[1] (analytic) = 0.90144444718512997422086994072686
y[1] (numeric) = 0.90144444718513005949082903219907
absolute error = 8.526995909147221e-17
relative error = 9.4592583445089753229491073961034e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.897
y[1] (analytic) = 0.9016578059729228185620979099246
y[1] (numeric) = 0.90165780597292290380240632007979
absolute error = 8.524030841015519e-17
relative error = 9.4537315426640906874663419786212e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.898
y[1] (analytic) = 0.90187035996741777163339016539676
y[1] (numeric) = 0.90187035996741785684398093748833
absolute error = 8.521059077209157e-17
relative error = 9.4482083628039407820567368718537e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.899
y[1] (analytic) = 0.90208210856791813423293790825827
y[1] (numeric) = 0.90208210856791821941374411055223
absolute error = 8.518080620229396e-17
relative error = 9.4426887966463489557054155280268e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9
y[1] (analytic) = 0.902293051174436124804225252772
y[1] (numeric) = 0.90229305117443620995517997863276
absolute error = 8.515095472586076e-17
relative error = 9.4371728359236717000869089474619e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.901
y[1] (analytic) = 0.90250318718769386766292713248827
y[1] (numeric) = 0.90250318718769395278396350046456
absolute error = 8.512103636797629e-17
relative error = 9.4316604723827575441624782881272e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.902
y[1] (analytic) = 0.90271251600912438060998942836056
y[1] (numeric) = 0.90271251600912446570104058227102
absolute error = 8.509105115391046e-17
relative error = 9.4261516977848551334607982080373e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.903
y[1] (analytic) = 0.90292103704087256192951537061648
y[1] (numeric) = 0.90292103704087264699051447963551
absolute error = 8.506099910901903e-17
relative error = 9.4206465039055868651258885621575e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.904
y[1] (analytic) = 0.9031287496857961767700827856592
y[1] (numeric) = 0.90312874968579626180096304440262
absolute error = 8.503088025874342e-17
relative error = 9.4151448825348728167008821874330e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.905
y[1] (analytic) = 0.90333565334746684290811728053057
y[1] (numeric) = 0.90333565334746692790881190914135
absolute error = 8.500069462861078e-17
relative error = 9.4096468254768836458967475400350e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.906
y[1] (analytic) = 0.9035417474301710158919469804896
y[1] (numeric) = 0.90354174743017110086238922472354
absolute error = 8.497044224423394e-17
relative error = 9.4041523245499803574053565689625e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.907
y[1] (analytic) = 0.90374703133891097356516496004369
y[1] (numeric) = 0.90374703133891105850528809135505
absolute error = 8.494012313131136e-17
relative error = 9.3986613715866542352671456585666e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.908
y[1] (analytic) = 0.90395150447940579996792603431695
y[1] (numeric) = 0.90395150447940588487766334994409
absolute error = 8.490973731562714e-17
relative error = 9.3931739584334735773826536960480e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.909
y[1] (analytic) = 0.9041551662580923686148051059491
y[1] (numeric) = 0.90415516625809245349408992900011
absolute error = 8.487928482305101e-17
relative error = 9.3876900769510283727317740889502e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.91
y[1] (analytic) = 0.90435801608212632514784479278902
y[1] (numeric) = 0.90435801608212640999661047232729
absolute error = 8.484876567953827e-17
relative error = 9.3822097190138696067144689447421e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.911
y[1] (analytic) = 0.904560053359383069363420593479
y[1] (numeric) = 0.9045600533593831541816005046088
absolute error = 8.481817991112980e-17
relative error = 9.3767328765104564685422564386324e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.912
y[1] (analytic) = 0.90476127749845873661155238161854
y[1] (numeric) = 0.90476127749845882139907992557062
absolute error = 8.478752754395208e-17
relative error = 9.3712595413431048161040607176377e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.913
y[1] (analytic) = 0.90496168790867117856629155455009
y[1] (numeric) = 0.90496168790867126332310015876708
absolute error = 8.475680860421699e-17
relative error = 9.3657897054279114803727365633480e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.914
y[1] (analytic) = 0.90516128400006094336581369992132
y[1] (numeric) = 0.90516128400006102809183681814338
absolute error = 8.472602311822206e-17
relative error = 9.3603233606947284660810731937220e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.915
y[1] (analytic) = 0.9053600651833922551208471820527
y[1] (numeric) = 0.9053600651833923398160182944029
absolute error = 8.469517111235020e-17
relative error = 9.3548604990870798313061074309269e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.916
y[1] (analytic) = 0.90555803087015399279006859076919
y[1] (numeric) = 0.90555803087015407745432120383903
absolute error = 8.466425261306984e-17
relative error = 9.3494011125621240327449343730848e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.917
y[1] (analytic) = 0.90575518047256066842109653774657
y[1] (numeric) = 0.9057551804725607530543641846814
absolute error = 8.463326764693483e-17
relative error = 9.3439451930905899029614369759810e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=392.9MB, alloc=4.6MB, time=49.71
x[1] = 2.918
y[1] (analytic) = 0.90595151340355340475571582957044
y[1] (numeric) = 0.90595151340355348935793207015485
absolute error = 8.460221624058441e-17
relative error = 9.3384927326567205175028740078807e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.919
y[1] (analytic) = 0.90614702907680091219796459261258
y[1] (numeric) = 0.90614702907680099676906301335584
absolute error = 8.457109842074326e-17
relative error = 9.3330437232582260427742134437905e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.92
y[1] (analytic) = 0.90634172690670046514371747249282
y[1] (numeric) = 0.90634172690670054968363168671422
absolute error = 8.453991421422140e-17
relative error = 9.3275981569062201738016951626945e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.921
y[1] (analytic) = 0.90653560630837887767039858031434
y[1] (numeric) = 0.90653560630837896217906222822854
absolute error = 8.450866364791420e-17
relative error = 9.3221560256251688666152259627075e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.922
y[1] (analytic) = 0.90672866669769347858545840903723
y[1] (numeric) = 0.90672866669769356306280515783967
absolute error = 8.447734674880244e-17
relative error = 9.3167173214528447289634606606649e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.923
y[1] (analytic) = 0.90692090749123308583224949628781
y[1] (numeric) = 0.90692090749123317027821304023986
absolute error = 8.444596354395205e-17
relative error = 9.3112820364402462630460294653049e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.924
y[1] (analytic) = 0.90711232810631898025193616458769
y[1] (numeric) = 0.90711232810631906466645022510206
absolute error = 8.441451406051437e-17
relative error = 9.3058501626515746132926222269517e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.925
y[1] (analytic) = 0.90730292796100587870007422643129
y[1] (numeric) = 0.90730292796100596308307255215726
absolute error = 8.438299832572597e-17
relative error = 9.3004216921641619254255401813507e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.926
y[1] (analytic) = 0.90749270647408290651649709983596
y[1] (numeric) = 0.90749270647408299086791346674459
absolute error = 8.435141636690863e-17
relative error = 9.2949966170684175038638785855388e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.927
y[1] (analytic) = 0.90768166306507456934714533994084
y[1] (numeric) = 0.90768166306507465366691355141017
absolute error = 8.431976821146933e-17
relative error = 9.2895749294677752149839855051694e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.928
y[1] (analytic) = 0.90786979715424172431647715393524
y[1] (numeric) = 0.90786979715424180860453104083551
absolute error = 8.428805388690027e-17
relative error = 9.2841566214786443367923770726076e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.929
y[1] (analytic) = 0.90805710816258255054909803005488
y[1] (numeric) = 0.90805710816258263480537145083374
absolute error = 8.425627342077886e-17
relative error = 9.2787416852303572419467393249514e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.93
y[1] (analytic) = 0.90824359551183351903924817659506
y[1] (numeric) = 0.90824359551183360326367501736258
absolute error = 8.422442684076752e-17
relative error = 9.2733301128650963017467018743018e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.931
y[1] (analytic) = 0.90842925862447036186678703385112
y[1] (numeric) = 0.9084292586244704460593012084651
absolute error = 8.419251417461398e-17
relative error = 9.2679218965378759955305990334295e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.932
y[1] (analytic) = 0.90861409692370904075831469061253
y[1] (numeric) = 0.9086140969237091249188501407634
absolute error = 8.416053545015087e-17
relative error = 9.2625170284164469760481113082432e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.933
y[1] (analytic) = 0.90879810983350671499207060729954
y[1] (numeric) = 0.90879810983350679912056130259555
absolute error = 8.412849069529601e-17
relative error = 9.2571155006812773514749595026354e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.934
y[1] (analytic) = 0.90898129677856270864525062004949
y[1] (numeric) = 0.90898129677856279274163055810172
absolute error = 8.409637993805223e-17
relative error = 9.2517173055254823582089864743198e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.935
y[1] (analytic) = 0.909163657184319477182383774024
y[1] (numeric) = 0.90916365718431956124658698053145
absolute error = 8.406420320650745e-17
relative error = 9.2463224351547827905449643819538e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.936
y[1] (analytic) = 0.9093451904769635733834111099251
y[1] (numeric) = 0.90934519047696365741537163875955
absolute error = 8.403196052883445e-17
relative error = 9.2409308817874294636490587808632e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.937
y[1] (analytic) = 0.90952589608342661261010910517167
y[1] (numeric) = 0.90952589608342669660976103846279
absolute error = 8.399965193329112e-17
relative error = 9.2355426376541806151325672965879e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.938
y[1] (analytic) = 0.90970577343138623740950105040272
y[1] (numeric) = 0.90970577343138632137677849862296
absolute error = 8.396727744822024e-17
relative error = 9.2301576949982277415517308599277e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.939
y[1] (analytic) = 0.90988482194926708145290022293393
y[1] (numeric) = 0.90988482194926716538773732498345
absolute error = 8.393483710204952e-17
relative error = 9.2247760460751501707770741709810e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.94
y[1] (analytic) = 0.91006304106624173280922930150416
y[1] (numeric) = 0.91006304106624181671156022479577
absolute error = 8.390233092329161e-17
relative error = 9.2193976831528664639074823798269e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.941
y[1] (analytic) = 0.91024043021223169655126105110474
y[1] (numeric) = 0.91024043021223178042101999164869
absolute error = 8.386975894054395e-17
relative error = 9.2140225985115683686520395352497e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.942
y[1] (analytic) = 0.91041698881790835669342589288698
y[1] (numeric) = 0.91041698881790844053054707537594
absolute error = 8.383712118248896e-17
relative error = 9.2086507844436922672317625850928e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.943
y[1] (analytic) = 0.9105927163146939374598325620938
y[1] (numeric) = 0.91059271631469402126425023998757
absolute error = 8.380441767789377e-17
relative error = 9.2032822332538402124262411233621e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.944
y[1] (analytic) = 0.91076761213476246388114864665449
y[1] (numeric) = 0.91076761213476254765279710226489
absolute error = 8.377164845561040e-17
relative error = 9.1979169372587505351045160445174e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=396.7MB, alloc=4.6MB, time=50.21
x[1] = 2.945
y[1] (analytic) = 0.91094167571104072171898839052352
y[1] (numeric) = 0.91094167571104080545780193509911
absolute error = 8.373881354457559e-17
relative error = 9.1925548887872301346135171883570e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.946
y[1] (analytic) = 0.91111490647720921671645573902748
y[1] (numeric) = 0.91111490647720930042236871283834
absolute error = 8.370591297381086e-17
relative error = 9.1871960801801121611292749276781e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.947
y[1] (analytic) = 0.91128730386770313317349119841401
y[1] (numeric) = 0.91128730386770321684643797083648
absolute error = 8.367294677242247e-17
relative error = 9.1818405037902028429358837515046e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.948
y[1] (analytic) = 0.91145886731771329184567167846852
y[1] (numeric) = 0.91145886731771337548558664806989
absolute error = 8.363991496960137e-17
relative error = 9.1764881519822273468001954697146e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.949
y[1] (analytic) = 0.91162959626318710716511308548014
y[1] (numeric) = 0.91162959626318719077193068010331
absolute error = 8.360681759462317e-17
relative error = 9.1711390171327779628950590504811e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.95
y[1] (analytic) = 0.91179949014082954378212603299622
y[1] (numeric) = 0.91179949014082962735578070984437
absolute error = 8.357365467684815e-17
relative error = 9.1657930916302668040583648615503e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.951
y[1] (analytic) = 0.91196854838810407242627563970519
y[1] (numeric) = 0.91196854838810415596670188542641
absolute error = 8.354042624572122e-17
relative error = 9.1604503678748731441656986899863e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.952
y[1] (analytic) = 0.91213677044323362508549698742877
y[1] (numeric) = 0.91213677044323370859262931820064
absolute error = 8.350713233077187e-17
relative error = 9.1551108382784897873268521077035e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.953
y[1] (analytic) = 0.91230415574520154950191841758731
y[1] (numeric) = 0.91230415574520163297569137920153
absolute error = 8.347377296161422e-17
relative error = 9.1497744952646805259103819067419e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.954
y[1] (analytic) = 0.91247070373375256298304545162536
y[1] (numeric) = 0.91247070373375264642339361957226
absolute error = 8.344034816794690e-17
relative error = 9.1444413312686190825937767994138e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.955
y[1] (analytic) = 0.91263641384939370552695872974712
y[1] (numeric) = 0.91263641384939378893381670930014
absolute error = 8.340685797955302e-17
relative error = 9.1391113387370380484333170357919e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.956
y[1] (analytic) = 0.91280128553339529226017997291404
y[1] (numeric) = 0.91280128553339537563348239921428
absolute error = 8.337330242630024e-17
relative error = 9.1337845101281888990533902658895e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.957
y[1] (analytic) = 0.91296531822779186518686058539835
y[1] (numeric) = 0.91296531822779194852654212353906
absolute error = 8.333968153814071e-17
relative error = 9.1284608379117878817898990517453e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.958
y[1] (analytic) = 0.91312851137538314424794812926563
y[1] (numeric) = 0.91312851137538322755394347437662
absolute error = 8.330599534511099e-17
relative error = 9.1231403145689598375730590645602e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.959
y[1] (analytic) = 0.91329086441973497768898651797684
y[1] (numeric) = 0.91329086441973506096123039530886
absolute error = 8.327224387733202e-17
relative error = 9.1178229325921876240473248655915e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.96
y[1] (analytic) = 0.913452376805180291735206393855
y[1] (numeric) = 0.91345237680518037497363355886424
absolute error = 8.323842716500924e-17
relative error = 9.1125086844852780797699101519685e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.961
y[1] (analytic) = 0.91361304797682003957256277345348
y[1] (numeric) = 0.91361304797682012277710801188582
absolute error = 8.320454523843234e-17
relative error = 9.1071975627632875916519372692691e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.962
y[1] (analytic) = 0.91377287738052414963337766588928
y[1] (numeric) = 0.91377287738052423280397579386469
absolute error = 8.317059812797541e-17
relative error = 9.1018895599524915808396883464364e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.963
y[1] (analytic) = 0.91393186446293247318524599196895
y[1] (numeric) = 0.91393186446293255632183185606581
absolute error = 8.313658586409686e-17
relative error = 9.0965846685903289195642792020217e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.964
y[1] (analytic) = 0.91409000867145573122186375643233
y[1] (numeric) = 0.91409000867145581432437223377167
absolute error = 8.310250847733934e-17
relative error = 9.0912828812253464707405735463887e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.965
y[1] (analytic) = 0.91424730945427646065443805187188
y[1] (numeric) = 0.91424730945427654372280405020166
absolute error = 8.306836599832978e-17
relative error = 9.0859841904171568750169701168213e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.966
y[1] (analytic) = 0.91440376626034995980233910085248
y[1] (numeric) = 0.91440376626035004283649755863184
absolute error = 8.303415845777936e-17
relative error = 9.0806885887363887901407897299393e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.967
y[1] (analytic) = 0.91455937853940523318165517245625
y[1] (numeric) = 0.91455937853940531618154105893965
absolute error = 8.299988588648340e-17
relative error = 9.0753960687646284977596489148103e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.968
y[1] (analytic) = 0.91471414574194593559031184090959
y[1] (numeric) = 0.91471414574194601855586015623106
absolute error = 8.296554831532147e-17
relative error = 9.0701066230943856844198600232616e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.969
y[1] (analytic) = 0.91486806731925131548841768711551
y[1] (numeric) = 0.91486806731925139841956346237275
absolute error = 8.293114577525724e-17
relative error = 9.0648202443290309009461984580824e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.97
y[1] (analytic) = 0.91502114272337715767249917881028
y[1] (numeric) = 0.91502114272337724056917747614881
absolute error = 8.289667829733853e-17
relative error = 9.0595369250827550051347158404112e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.971
y[1] (analytic) = 0.91517337140715672524228810169214
y[1] (numeric) = 0.91517337140715680810443401438935
absolute error = 8.286214591269721e-17
relative error = 9.0542566579805123171940181301600e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=400.5MB, alloc=4.6MB, time=50.71
x[1] = 2.972
y[1] (analytic) = 0.91532475282420170085872555222774
y[1] (numeric) = 0.91532475282420178368627420477704
absolute error = 8.282754865254930e-17
relative error = 9.0489794356579857441624802342313e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.973
y[1] (analytic) = 0.91547528642890312729184714293146
y[1] (numeric) = 0.91547528642890321008473369112619
absolute error = 8.279288654819473e-17
relative error = 9.0437052507615148615193612181120e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.974
y[1] (analytic) = 0.91562497167643234725721471272946
y[1] (numeric) = 0.91562497167643243001537434374699
absolute error = 8.275815963101753e-17
relative error = 9.0384340959480710896297790607170e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.975
y[1] (analytic) = 0.91577380802274194253956047856872
y[1] (numeric) = 0.91577380802274202526292841105443
absolute error = 8.272336793248571e-17
relative error = 9.0331659638851991044266788604682e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.976
y[1] (analytic) = 0.91592179492456667240231020970536
y[1] (numeric) = 0.91592179492456675509082169385655
absolute error = 8.268851148415119e-17
relative error = 9.0279008472509638250612249809769e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.977
y[1] (analytic) = 0.91606893183942441128165265310991
y[1] (numeric) = 0.91606893183942449393524297075972
absolute error = 8.265359031764981e-17
relative error = 9.0226387387339062463316504777599e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.978
y[1] (analytic) = 0.91621521822561708576382308715702
y[1] (numeric) = 0.91621521822561716838242755185842
absolute error = 8.261860446470140e-17
relative error = 9.0173796310330059224363100648146e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.979
y[1] (analytic) = 0.91636065354223161084426953122437
y[1] (numeric) = 0.91636065354223169342782348833387
absolute error = 8.258355395710950e-17
relative error = 9.0121235168576053519473595428977e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.98
y[1] (analytic) = 0.91650523724914082546737079100655
y[1] (numeric) = 0.9165052372491409080158096177682
absolute error = 8.254843882676165e-17
relative error = 9.0068703889273966870142493098799e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.981
y[1] (analytic) = 0.91664896880700442734537617325972
y[1] (numeric) = 0.91664896880700450985863527888881
absolute error = 8.251325910562909e-17
relative error = 9.0016202399723441493696971710028e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.982
y[1] (analytic) = 0.91679184767726990705523735932358
y[1] (numeric) = 0.91679184767726998953325218509043
absolute error = 8.247801482576685e-17
relative error = 8.9963730627326491178633023714116e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.983
y[1] (analytic) = 0.9169338733221734814120035841253
y[1] (numeric) = 0.9169338733221735638547096034391
absolute error = 8.244270601931380e-17
relative error = 8.9911288499587109446712501122391e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.984
y[1] (analytic) = 0.9170750452047410261174519264506
y[1] (numeric) = 0.91707504520474110852478464494301
absolute error = 8.240733271849241e-17
relative error = 8.9858875944110562438695501414002e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.985
y[1] (analytic) = 0.91721536278878900768262517706964
y[1] (numeric) = 0.91721536278878909005452013267859
absolute error = 8.237189495560895e-17
relative error = 8.9806492888603162744391514597971e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.986
y[1] (analytic) = 0.91735482553892541462295041383302
y[1] (numeric) = 0.91735482553892549695934317688629
absolute error = 8.233639276305327e-17
relative error = 8.9754139260871586176819583657866e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.987
y[1] (analytic) = 0.91749343292055068792461207709917
y[1] (numeric) = 0.91749343292055077022543825039811
absolute error = 8.230082617329894e-17
relative error = 8.9701814988822582115174305941388e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.988
y[1] (analytic) = 0.91763118439985865078085400482509
y[1] (numeric) = 0.91763118439985873304604922372816
absolute error = 8.226519521890307e-17
relative error = 8.9649520000462335954642038675881e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.989
y[1] (analytic) = 0.91776807944383743759688555434072
y[1] (numeric) = 0.91776807944383751982638548684705
absolute error = 8.222949993250633e-17
relative error = 8.9597254223896050616017607194778e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.99
y[1] (analytic) = 0.91790411752027042226206760723744
y[1] (numeric) = 0.91790411752027050445580795407047
absolute error = 8.219374034683303e-17
relative error = 8.9545017587327594357414568750951e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.991
y[1] (analytic) = 0.91803929809773714568805492493053
y[1] (numeric) = 0.91803929809773722784597141962146
absolute error = 8.215791649469093e-17
relative error = 8.9492810019058855353198423986556e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.992
y[1] (analytic) = 0.91817362064561424261157199530244
y[1] (numeric) = 0.91817362064561432473360040427367
absolute error = 8.212202840897123e-17
relative error = 8.9440631447489293440306476651954e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.993
y[1] (analytic) = 0.91830708463407636766050018540017
y[1] (numeric) = 0.91830708463407644974657630804891
absolute error = 8.208607612264874e-17
relative error = 8.9388481801115688822086706980812e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.994
y[1] (analytic) = 0.91843968953409712068195469144426
y[1] (numeric) = 0.91843968953409720273201436022578
absolute error = 8.205005966878152e-17
relative error = 8.9336361008531314474955991370257e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.995
y[1] (analytic) = 0.91857143481744997133103045540573
y[1] (numeric) = 0.91857143481745005334500953591687
absolute error = 8.201397908051114e-17
relative error = 8.9284268998425784778894867048221e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.996
y[1] (analytic) = 0.9187023199567091829188968971262
y[1] (numeric) = 0.91870231995670926489673128818872
absolute error = 8.197783439106252e-17
relative error = 8.9232205699584447652950387735931e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.997
y[1] (analytic) = 0.91883234442525073551892199238748
y[1] (numeric) = 0.91883234442525081746054762613135
absolute error = 8.194162563374387e-17
relative error = 8.9180171040887886583974191421775e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.998
y[1] (analytic) = 0.91896150769725324832950691048512
y[1] (numeric) = 0.91896150769725333023485975243186
absolute error = 8.190535284194674e-17
relative error = 8.9128164951311543313696074425801e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.999
memory used=404.3MB, alloc=4.6MB, time=51.21
y[1] (analytic) = 0.91908980924769890129231310972276
y[1] (numeric) = 0.91908980924769898316132915886874
absolute error = 8.186901604914598e-17
relative error = 8.9076187359925243453154520207578e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3
y[1] (analytic) = 0.91921724855237435596456447581975
y[1] (numeric) = 0.91921724855237443779717976471939
absolute error = 8.183261528889964e-17
relative error = 8.9024238195892657751030158949830e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.001
y[1] (analytic) = 0.91934382508787167564410777651366
y[1] (numeric) = 0.91934382508787175744025837136266
absolute error = 8.179615059484900e-17
relative error = 8.8972317388470905740989421775272e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.002
y[1] (analytic) = 0.91946953833158924474591539564141
y[1] (numeric) = 0.91946953833158932650553739635992
absolute error = 8.175962200071851e-17
relative error = 8.8920424867010062356043185182377e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.003
y[1] (analytic) = 0.91959438776173268742871500169614
y[1] (numeric) = 0.91959438776173276915174454201191
absolute error = 8.172302954031577e-17
relative error = 8.8868560560952708964266416981836e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.004
y[1] (analytic) = 0.91971837285731578547043149928194
y[1] (numeric) = 0.91971837285731586715680474681355
absolute error = 8.168637324753161e-17
relative error = 8.8816724399833594014848953845910e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.005
y[1] (analytic) = 0.91984149309816139539112730702502
y[1] (numeric) = 0.91984149309816147704078046336475
absolute error = 8.164965315633973e-17
relative error = 8.8764916313278816128499991148979e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.006
y[1] (analytic) = 0.91996374796490236482212770234377
y[1] (numeric) = 0.91996374796490244643499700314086
absolute error = 8.161286930079709e-17
relative error = 8.8713136231005823602215168432228e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.007
y[1] (analytic) = 0.92008513693898244812001867203801
y[1] (numeric) = 0.92008513693898252969604038708158
absolute error = 8.157602171504357e-17
relative error = 8.8661384082822621014716576174700e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.008
y[1] (analytic) = 0.92020565950265722122420540791896
y[1] (numeric) = 0.92020565950265730276331584122107
absolute error = 8.153911043330211e-17
relative error = 8.8609659798627498586160854098581e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.009
y[1] (analytic) = 0.92032531513899499575672028867538
y[1] (numeric) = 0.92032531513899507725885577855392
absolute error = 8.150213548987854e-17
relative error = 8.8557963308408425411751256557246e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.01
y[1] (analytic) = 0.9204441033318777323629698928495
y[1] (numeric) = 0.92044410333187781382806681201118
absolute error = 8.146509691916168e-17
relative error = 8.8506294542242737001348773923337e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.011
y[1] (analytic) = 0.92056202356600195329211129318364
y[1] (numeric) = 0.92056202356600203472010604880685
absolute error = 8.142799475562321e-17
relative error = 8.8454653430296573705903775602109e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.012
y[1] (analytic) = 0.92067907532687965421574858968992
y[1] (numeric) = 0.92067907532687973560657762350764
absolute error = 8.139082903381772e-17
relative error = 8.8403039902824515572859845373905e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.013
y[1] (analytic) = 0.92079525810083921528364134759421
y[1] (numeric) = 0.92079525810083929663724113597684
absolute error = 8.135359978838263e-17
relative error = 8.8351453890169076783567154986972e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.014
y[1] (analytic) = 0.9209105713750263114151173168077
y[1] (numeric) = 0.9209105713750263927314243708458
absolute error = 8.131630705403810e-17
relative error = 8.8299895322760190097507606902351e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.015
y[1] (analytic) = 0.92102501463740482182488252178635
y[1] (numeric) = 0.92102501463740490310383338737352
absolute error = 8.127895086558717e-17
relative error = 8.8248364131114941884378969526845e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.016
y[1] (analytic) = 0.92113858737675773878192252454989
y[1] (numeric) = 0.92113858737675782002345378246544
absolute error = 8.124153125791555e-17
relative error = 8.8196860245836927865137022557349e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.017
y[1] (analytic) = 0.92125128908268807560018937924403
y[1] (numeric) = 0.92125128908268815680423764523569
absolute error = 8.120404826599166e-17
relative error = 8.8145383597615881172756378234729e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.018
y[1] (analytic) = 0.92136311924561977385976951394628
y[1] (numeric) = 0.92136311924561985502627143881287
absolute error = 8.116650192486659e-17
relative error = 8.8093934117227214326677663890815e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.019
y[1] (analytic) = 0.92147407735679860985722849443223
y[1] (numeric) = 0.92147407735679869098612076410635
absolute error = 8.112889226967412e-17
relative error = 8.8042511735531627119688999983780e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.02
y[1] (analytic) = 0.92158416290829310028382934533761
y[1] (numeric) = 0.92158416290829318137504868096815
absolute error = 8.109121933563054e-17
relative error = 8.7991116383474498233204986730415e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.021
y[1] (analytic) = 0.92169337539299540713032182656875
y[1] (numeric) = 0.9216933753929954881838049846036
absolute error = 8.105348315803485e-17
relative error = 8.7939747992085690032124168062535e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.022
y[1] (analytic) = 0.92180171430462224181700078693319
y[1] (numeric) = 0.92180171430462232283268455920171
absolute error = 8.101568377226852e-17
relative error = 8.7888406492478876628056733782271e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.023
y[1] (analytic) = 0.92190917913771576854773244277724
y[1] (numeric) = 0.92190917913771584952555365657275
absolute error = 8.097782121379551e-17
relative error = 8.7837091815851154892972726073142e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.024
y[1] (analytic) = 0.92201576938764450688664815693286
y[1] (numeric) = 0.92201576938764458782654367509516
absolute error = 8.093989551816230e-17
relative error = 8.7785803893482667038922317703992e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.025
y[1] (analytic) = 0.92212148455060423355620602248854
y[1] (numeric) = 0.92212148455060431445811274348631
absolute error = 8.090190672099777e-17
relative error = 8.7734542656736061236898345287075e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.026
y[1] (analytic) = 0.92222632412361888345532128680723
y[1] (numeric) = 0.92222632412361896431917614482053
absolute error = 8.086385485801330e-17
relative error = 8.7683308037056191602258053023162e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=408.1MB, alloc=4.6MB, time=51.70
NO POLE
x[1] = 3.027
y[1] (analytic) = 0.92233028760454144989626738382048
y[1] (numeric) = 0.92233028760454153072200734882301
absolute error = 8.082573996500253e-17
relative error = 8.7632099965969450192323766676660e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.028
y[1] (analytic) = 0.92243337449205488405905007692737
y[1] (numeric) = 0.92243337449205496484661215476888
absolute error = 8.078756207784151e-17
relative error = 8.7580918375083522686119928686526e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.029
y[1] (analytic) = 0.92253558428567299366195795082341
y[1] (numeric) = 0.92253558428567307441127918331203
absolute error = 8.074932123248862e-17
relative error = 8.7529763196086895346523119087557e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.03
y[1] (analytic) = 0.9226369164857413408469932282733
y[1] (numeric) = 0.92263691648574142155801069325778
absolute error = 8.071101746498448e-17
relative error = 8.7478634360748351901135333742273e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.031
y[1] (analytic) = 0.92273737059343813927888762722431
y[1] (numeric) = 0.92273737059343821995153843867627
absolute error = 8.067265081145196e-17
relative error = 8.7427531800916579553202976528052e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.032
y[1] (analytic) = 0.92283694611077515045640871473277
y[1] (numeric) = 0.92283694611077523109063002282891
absolute error = 8.063422130809614e-17
relative error = 8.7376455448519721490802270983995e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.033
y[1] (analytic) = 0.92293564254059857923466295694356
y[1] (numeric) = 0.92293564254059865983039194814783
absolute error = 8.059572899120427e-17
relative error = 8.7325405235564930104370593496345e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.034
y[1] (analytic) = 0.92303345938658996855710240882124
y[1] (numeric) = 0.92303345938659004911427630596697
absolute error = 8.055717389714573e-17
relative error = 8.7274381094137920906046644440673e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.035
y[1] (analytic) = 0.92313039615326709339594273348075
y[1] (numeric) = 0.92313039615326717391449879585279
absolute error = 8.051855606237204e-17
relative error = 8.7223382956402581307820965689508e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.036
y[1] (analytic) = 0.92322645234598485389970098880514
y[1] (numeric) = 0.92322645234598493437957651222194
absolute error = 8.047987552341680e-17
relative error = 8.7172410754600504233586259199357e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.037
y[1] (analytic) = 0.92332162747093616774656236856608
y[1] (numeric) = 0.92332162747093624818769468546162
absolute error = 8.044113231689554e-17
relative error = 8.7121464421050424953472937472486e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.038
y[1] (analytic) = 0.92341592103515286170228583647931
y[1] (numeric) = 0.92341592103515294210461231598528
absolute error = 8.040232647950597e-17
relative error = 8.7070543888148091841657905346943e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.039
y[1] (analytic) = 0.92350933254650656238135934453334
y[1] (numeric) = 0.92350933254650664274481739256095
absolute error = 8.036345804802761e-17
relative error = 8.7019649088365466259398013854817e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.04
y[1] (analytic) = 0.92360186151370958621011608151939
y[1] (numeric) = 0.92360186151370966653464314084139
absolute error = 8.032452705932200e-17
relative error = 8.6968779954250551295179028548290e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.041
y[1] (analytic) = 0.92369350744631582859052395397061
y[1] (numeric) = 0.92369350744631590887605750430318
absolute error = 8.028553355033257e-17
relative error = 8.6917936418426852910671527759222e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.042
y[1] (analytic) = 0.92378426985472165226336125968112
y[1] (numeric) = 0.92378426985472173250983881776572
absolute error = 8.024647755808460e-17
relative error = 8.6867118413592939221372246600684e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.043
y[1] (analytic) = 0.92387414825016677486949227362454
y[1] (numeric) = 0.92387414825016685507685139330968
absolute error = 8.020735911968514e-17
relative error = 8.6816325872521957125325171639247e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.044
y[1] (analytic) = 0.92396314214473515570795722742417
y[1] (numeric) = 0.92396314214473523587613549974735
absolute error = 8.016817827232318e-17
relative error = 8.6765558728061420167998566234406e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.045
y[1] (analytic) = 0.92405125105135588168959192654423
y[1] (numeric) = 0.92405125105135596181852697981354
absolute error = 8.012893505326931e-17
relative error = 8.6714816913132444990190858107271e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.046
y[1] (analytic) = 0.92413847448380405248489301406902
y[1] (numeric) = 0.92413847448380413257452251394497
absolute error = 8.008962949987595e-17
relative error = 8.6664100360729605377864116937884e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.047
y[1] (analytic) = 0.9242248119567016648648456563198
y[1] (numeric) = 0.92422481195670174491510730589694
absolute error = 8.005026164957714e-17
relative error = 8.6613409003920310689786952369095e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.048
y[1] (analytic) = 0.92431026298551849623343119362001
y[1] (numeric) = 0.92431026298551857624426273350863
absolute error = 8.001083153988862e-17
relative error = 8.6562742775844498748742032352421e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.049
y[1] (analytic) = 0.9243948270865729873505330692636
y[1] (numeric) = 0.92439482708657306732187227767135
absolute error = 7.997133920840775e-17
relative error = 8.6512101609714156180229451649231e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.05
y[1] (analytic) = 0.92447850377703312424396012116335
y[1] (numeric) = 0.92447850377703320417574481397679
absolute error = 7.993178469281344e-17
relative error = 8.6461485438812850192045607468619e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.051
y[1] (analytic) = 0.92456129257491731930930709375819
y[1] (numeric) = 0.92456129257491739920147512462432
absolute error = 7.989216803086613e-17
relative error = 8.6410894196495315044435963392709e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.052
y[1] (analytic) = 0.92464319299909529159637300253891
y[1] (numeric) = 0.92464319299909537144886226294671
absolute error = 7.985248926040780e-17
relative error = 8.6360327816187071540270655287593e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.053
y[1] (analytic) = 0.92472420456928894628085876000949
y[1] (numeric) = 0.92472420456928902609360717937142
absolute error = 7.981274841936193e-17
relative error = 8.6309786231383992997126346406051e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=412.0MB, alloc=4.6MB, time=52.19
NO POLE
x[1] = 3.054
y[1] (analytic) = 0.92480432680607325332006625003631
y[1] (numeric) = 0.92480432680607333309301179576967
absolute error = 7.977294554573336e-17
relative error = 8.6259269375651763663307542733957e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.055
y[1] (analytic) = 0.92488355923087712529132181734791
y[1] (numeric) = 0.92488355923087720502440249495632
absolute error = 7.973308067760841e-17
relative error = 8.6208777182625618874467742076853e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.056
y[1] (analytic) = 0.92496190136598429441184792043527
y[1] (numeric) = 0.92496190136598437410500177358995
absolute error = 7.969315385315468e-17
relative error = 8.6158309586009739722724722798327e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.057
y[1] (analytic) = 0.92503935273453418873880747926258
y[1] (numeric) = 0.92503935273453426839197258988379
absolute error = 7.965316511062121e-17
relative error = 8.6107866519577037542088218985920e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.058
y[1] (analytic) = 0.9251159128605228075482462340347
y[1] (numeric) = 0.92511591286052288716136072237291
absolute error = 7.961311448833821e-17
relative error = 8.6057447917168474027805079528739e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.059
y[1] (analytic) = 0.92519158126880359589165921777413
y[1] (numeric) = 0.92519158126880367546466124249136
absolute error = 7.957300202471723e-17
relative error = 8.6007053712692857599599234258366e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.06
y[1] (analytic) = 0.9252663574850883183289082336425
y[1] (numeric) = 0.92526635748508839786173599189346
absolute error = 7.953282775825096e-17
relative error = 8.5956683840126240304729376571607e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.061
y[1] (analytic) = 0.92534024103594793183621801779227
y[1] (numeric) = 0.92534024103594801132880974530563
absolute error = 7.949259172751336e-17
relative error = 8.5906338233511671961192307700822e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.062
y[1] (analytic) = 0.92541323144881345788797956005885
y[1] (numeric) = 0.92541323144881353734027353121835
absolute error = 7.945229397115950e-17
relative error = 8.5856016826958641363324243765103e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.063
y[1] (analytic) = 0.92548532825197685371108984799557
y[1] (numeric) = 0.92548532825197693312302437592106
absolute error = 7.941193452792549e-17
relative error = 8.5805719554642615313513664020344e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.064
y[1] (analytic) = 0.92555653097459188271055809461683
y[1] (numeric) = 0.92555653097459196208207153124549
absolute error = 7.937151343662866e-17
relative error = 8.5755446350804848287640349888278e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.065
y[1] (analytic) = 0.92562683914667498406510930674701
y[1] (numeric) = 0.92562683914667506339614004291417
absolute error = 7.933103073616716e-17
relative error = 8.5705197149751565893999685004257e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.066
y[1] (analytic) = 0.92569625229910614149151684906974
y[1] (numeric) = 0.92569625229910622078200331459009
absolute error = 7.929048646552035e-17
relative error = 8.5654971885854002420286190116465e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.067
y[1] (analytic) = 0.92576476996362975117639645884118
y[1] (numeric) = 0.92576476996362983042627712258959
absolute error = 7.924988066374841e-17
relative error = 8.5604770493547596117032840414908e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.068
y[1] (analytic) = 0.92583239167285548887419496776076
y[1] (numeric) = 0.92583239167285556808340833775325
absolute error = 7.920921336999249e-17
relative error = 8.5554592907331768395543799471479e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.069
y[1] (analytic) = 0.92589911696025917617010779069304
y[1] (numeric) = 0.92589911696025925533859241416765
absolute error = 7.916848462347461e-17
relative error = 8.5504439061769433407319615100545e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.07
y[1] (analytic) = 0.92596494536018364590666004579603
y[1] (numeric) = 0.92596494536018372503435450929366
absolute error = 7.912769446349763e-17
relative error = 8.5454308891486583722702855876618e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.071
y[1] (analytic) = 0.92602987640783960677268697713882
y[1] (numeric) = 0.92602987640783968585952990658401
absolute error = 7.908684292944519e-17
relative error = 8.5404202331171844076140669417741e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.072
y[1] (analytic) = 0.92609390963930650705345015908108
y[1] (numeric) = 0.92609390963930658609938021986288
absolute error = 7.904593006078180e-17
relative error = 8.5354119315576187552417608642153e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.073
y[1] (analytic) = 0.92615704459153339754062677154038
y[1] (numeric) = 0.92615704459153347654558266859296
absolute error = 7.900495589705258e-17
relative error = 8.5304059779512274264596939094470e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.074
y[1] (analytic) = 0.92621928080233979360091004678616
y[1] (numeric) = 0.92621928080233987256483052466957
absolute error = 7.896392047788341e-17
relative error = 8.5254023657854233238062300252106e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.075
y[1] (analytic) = 0.92628061781041653640195980157589
y[1] (numeric) = 0.92628061781041661532478364455669
absolute error = 7.892282384298080e-17
relative error = 8.5204010885537142369662809507347e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.076
y[1] (analytic) = 0.92634105515532665329444278328319
y[1] (numeric) = 0.92634105515532673217610881541506
absolute error = 7.888166603213187e-17
relative error = 8.5154021397556627609206157431338e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.077
y[1] (analytic) = 0.92640059237750621734890337516248
y[1] (numeric) = 0.92640059237750629618935046036683
absolute error = 7.884044708520435e-17
relative error = 8.5104055128968484151411863909156e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.078
y[1] (analytic) = 0.92645922901826520604620602404816
y[1] (numeric) = 0.92645922901826528484537306619468
absolute error = 7.879916704214652e-17
relative error = 8.5054112014888233272671062146809e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.079
y[1] (analytic) = 0.92651696461978835912029157359687
y[1] (numeric) = 0.9265169646197884378781175165839
absolute error = 7.875782594298703e-17
relative error = 8.5004191990490550076822587293731e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.08
y[1] (analytic) = 0.92657379872513603555199050764872
y[1] (numeric) = 0.92657379872513611426841433548388
absolute error = 7.871642382783516e-17
relative error = 8.4954294991009166575963642651403e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=415.8MB, alloc=4.6MB, time=52.68
NO POLE
x[1] = 3.081
y[1] (analytic) = 0.92662973087824506971263693140871
y[1] (numeric) = 0.92662973087824514838759766828924
absolute error = 7.867496073688053e-17
relative error = 8.4904420951736181508369460141654e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.082
y[1] (analytic) = 0.92668476062392962665622794292716
y[1] (numeric) = 0.92668476062392970528966465332028
absolute error = 7.863343671039312e-17
relative error = 8.4854569808021705180094022366370e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.083
y[1] (analytic) = 0.92673888750788205655887387379276
y[1] (numeric) = 0.92673888750788213515072566251609
absolute error = 7.859185178872333e-17
relative error = 8.4804741495273547837468486251657e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.084
y[1] (analytic) = 0.9267921110766737483042857060396
y[1] (numeric) = 0.9267921110766738268544917183414
absolute error = 7.855020601230180e-17
relative error = 8.4754935948956649430849375748566e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.085
y[1] (analytic) = 0.92684443087775598221404680200914
y[1] (numeric) = 0.92684443087775606072254622364863
absolute error = 7.850849942163949e-17
relative error = 8.4705153104592790332771314680723e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.086
y[1] (analytic) = 0.92689584645946078192141691530198
y[1] (numeric) = 0.92689584645946086038814897262944
absolute error = 7.846673205732746e-17
relative error = 8.4655392897759978725085834548985e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.087
y[1] (analytic) = 0.92694635737100176538741728399675
y[1] (numeric) = 0.92694635737100184381232124403391
absolute error = 7.842490396003716e-17
relative error = 8.4605655264092388611936137668780e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.088
y[1] (analytic) = 0.92699596316247499505794644201013
y[1] (numeric) = 0.92699596316247507344096161253011
absolute error = 7.838301517051998e-17
relative error = 8.4555940139279499800529927533690e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.089
y[1] (analytic) = 0.9270446633848598271606772208135
y[1] (numeric) = 0.92704466338485990550174295042108
absolute error = 7.834106572960758e-17
relative error = 8.4506247459066079763307380129564e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.09
y[1] (analytic) = 0.92709245759001976014048625171764
y[1] (numeric) = 0.92709245759001983843954192992926
absolute error = 7.829905567821162e-17
relative error = 8.4456577159251518537823622153225e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.091
y[1] (analytic) = 0.92713934533070328223216811857604
y[1] (numeric) = 0.92713934533070336048915317589979
absolute error = 7.825698505732375e-17
relative error = 8.4406929175689444479849302648521e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.092
y[1] (analytic) = 0.92718532616054471816918715204675
y[1] (numeric) = 0.92718532616054479638404106006242
absolute error = 7.821485390801567e-17
relative error = 8.4357303444287415839694033497878e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.093
y[1] (analytic) = 0.92723039963406507502722069948786
y[1] (numeric) = 0.92723039963406515319988297092686
absolute error = 7.817266227143900e-17
relative error = 8.4307699901006407725525794529646e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.094
y[1] (analytic) = 0.92727456530667288720124854914158
y[1] (numeric) = 0.92727456530667296533165873796684
absolute error = 7.813041018882526e-17
relative error = 8.4258118481860418046755099304057e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.095
y[1] (analytic) = 0.92731782273466506051494403348765
y[1] (numeric) = 0.92731782273466513860304173497351
absolute error = 7.808809770148586e-17
relative error = 8.4208559122916084552601871894424e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.096
y[1] (analytic) = 0.92736017147522771546112318451617
y[1] (numeric) = 0.9273601714752277935068480353282
absolute error = 7.804572485081203e-17
relative error = 8.4159021760292237473517035630110e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.097
y[1] (analytic) = 0.92740161108643702957200916318229
y[1] (numeric) = 0.92740161108643710757530084145704
absolute error = 7.800329167827475e-17
relative error = 8.4109506330159452477005580163944e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.098
y[1] (analytic) = 0.92744214112726007891807003645973
y[1] (numeric) = 0.92744214112726015687886826188457
absolute error = 7.796079822542484e-17
relative error = 8.4060012768739776448433133145788e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.099
y[1] (analytic) = 0.92748176115755567873418882820719
y[1] (numeric) = 0.92748176115755575665243336209992
absolute error = 7.791824453389273e-17
relative error = 8.4010541012306108507916743893378e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1
y[1] (analytic) = 0.92752047073807522317192562449747
y[1] (numeric) = 0.92752047073807530104755626988602
absolute error = 7.787563064538855e-17
relative error = 8.3961090997181926372467654884093e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.101
y[1] (analytic) = 0.92755826943046352417663237013687
y[1] (numeric) = 0.9275582694304636020095889718389
absolute error = 7.783295660170203e-17
relative error = 8.3911662659740808123793722495194e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.102
y[1] (analytic) = 0.92759515679725964948818185081751
y[1] (numeric) = 0.92759515679725972727840429552003
absolute error = 7.779022244470252e-17
relative error = 8.3862255936406083632947182105127e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.103
y[1] (analytic) = 0.92763113240189775976407321469946
y[1] (numeric) = 0.92763113240189783751150143103835
absolute error = 7.774742821633889e-17
relative error = 8.3812870763650356875574474913789e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.104
y[1] (analytic) = 0.92766619580870794482367724821026
y[1] (numeric) = 0.92766619580870802252825120684982
absolute error = 7.770457395863956e-17
relative error = 8.3763507077995168660566513906585e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.105
y[1] (analytic) = 0.92770034658291705901238548347761
y[1] (numeric) = 0.9277003465829171366740451971899
absolute error = 7.766165971371229e-17
relative error = 8.3714164816010400892717895561759e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.106
y[1] (analytic) = 0.92773358429064955568442807907322
y[1] (numeric) = 0.92773358429064963330311360281759
absolute error = 7.761868552374437e-17
relative error = 8.3664843914314112282796886146304e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.107
y[1] (analytic) = 0.92776590849892832080312628164498
y[1] (numeric) = 0.92776590849892839837877771264742
absolute error = 7.757565143100244e-17
relative error = 8.3615544309571975439073638806347e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=419.6MB, alloc=4.6MB, time=53.17
NO POLE
x[1] = 3.108
y[1] (analytic) = 0.92779731877567550565734614354541
y[1] (numeric) = 0.92779731877567558318990362137787
absolute error = 7.753255747783246e-17
relative error = 8.3566265938496875900928368710227e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.109
y[1] (analytic) = 0.92782781468971335869292104072971
y[1] (numeric) = 0.92782781468971343618232474738937
absolute error = 7.748940370665966e-17
relative error = 8.3517008737848489844293979918348e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.11
y[1] (analytic) = 0.9278573958107650564578114059936
y[1] (numeric) = 0.92785739581076513390400156598216
absolute error = 7.744619015998856e-17
relative error = 8.3467772644432937455360328325301e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.111
y[1] (analytic) = 0.92788606170945553365977096504993
y[1] (numeric) = 0.92788606170945561106268784545282
absolute error = 7.740291688040289e-17
relative error = 8.3418557595102328737577982571231e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.112
y[1] (analytic) = 0.92791381195731231233528963700141
y[1] (numeric) = 0.92791381195731238969487354756696
absolute error = 7.735958391056555e-17
relative error = 8.3369363526754352645669839241984e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.113
y[1] (analytic) = 0.92794064612676633012858413645579
y[1] (numeric) = 0.92794064612676640744477542967429
absolute error = 7.731619129321850e-17
relative error = 8.3320190376331790988685116036144e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.114
y[1] (analytic) = 0.92796656379115276767940819184658
y[1] (numeric) = 0.92796656379115284495214726302943
absolute error = 7.727273907118285e-17
relative error = 8.3271038080822248069319803055359e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.115
y[1] (analytic) = 0.92799156452471187511845517346823
y[1] (numeric) = 0.92799156452471195234768246082698
absolute error = 7.722922728735875e-17
relative error = 8.3221906577257664972603385513252e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.116
y[1] (analytic) = 0.92801564790258979766912680530634
y[1] (numeric) = 0.92801564790258987485478279003166
absolute error = 7.718565598472532e-17
relative error = 8.3172795802713877156052825071352e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.117
y[1] (analytic) = 0.92803881350083940035444251694192
y[1] (numeric) = 0.92803881350083947749646772328257
absolute error = 7.714202520634065e-17
relative error = 8.3123705694310247652134024149077e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.118
y[1] (analytic) = 0.9280610608964210918078648756325
y[1] (numeric) = 0.92806106089642116890619987097426
absolute error = 7.709833499534176e-17
relative error = 8.3074636189209257336718636247607e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.119
y[1] (analytic) = 0.92808238966720364718681742412089
y[1] (numeric) = 0.9280823896672037242414028190654
absolute error = 7.705458539494451e-17
relative error = 8.3025587224616041490157984887305e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.12
y[1] (analytic) = 0.92810279939196503018767213679383
y[1] (numeric) = 0.92810279939196510719844858523741
absolute error = 7.701077644844358e-17
relative error = 8.2976558737778001948982049401846e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.121
y[1] (analytic) = 0.92812228965039321416098459550706
y[1] (numeric) = 0.92812228965039329112789279471956
absolute error = 7.696690819921250e-17
relative error = 8.2927550665984473280818342407502e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.122
y[1] (analytic) = 0.92814086002308700232575587670975
y[1] (numeric) = 0.92814086002308707924873656741321
absolute error = 7.692298069070346e-17
relative error = 8.2878562946566152064997248823891e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.123
y[1] (analytic) = 0.92815851009155684708150103343723
y[1] (numeric) = 0.92815851009155692396049499988465
absolute error = 7.687899396644742e-17
relative error = 8.2829595516894849554778175454547e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.124
y[1] (analytic) = 0.92817523943822566841690494929912
y[1] (numeric) = 0.92817523943822574525185301935307
absolute error = 7.683494807005395e-17
relative error = 8.2780648314382953562548972693273e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.125
y[1] (analytic) = 0.92819104764642967141384723676492
y[1] (numeric) = 0.92819104764642974820469028197617
absolute error = 7.679084304521125e-17
relative error = 8.2731721276483084413699419643625e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.126
y[1] (analytic) = 0.92820593430041916284557874884419
y[1] (numeric) = 0.9282059343004192395922576845303
absolute error = 7.674667893568611e-17
relative error = 8.2682814340687686375051974246884e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.127
y[1] (analytic) = 0.92821989898535936686783317166987
y[1] (numeric) = 0.92821989898535944357028895699363
absolute error = 7.670245578532376e-17
relative error = 8.2633927444528500693115860188528e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.128
y[1] (analytic) = 0.92823294128733123980165806552104
y[1] (numeric) = 0.92823294128733131645983170356912
absolute error = 7.665817363804808e-17
relative error = 8.2585060525576426585889882029097e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.129
y[1] (analytic) = 0.92824506079333228400675062346649
y[1] (numeric) = 0.92824506079333236062058316132768
absolute error = 7.661383253786119e-17
relative error = 8.2536213521440714388252800595505e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.13
y[1] (analytic) = 0.92825625709127736084408432006656
y[1] (numeric) = 0.92825625709127743741351684891032
absolute error = 7.656943252884376e-17
relative error = 8.2487386369768934473491190712494e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.131
y[1] (analytic) = 0.92826652976999950272661352744559
y[1] (numeric) = 0.92826652976999957925158718260031
absolute error = 7.652497365515472e-17
relative error = 8.2438579008246299870801124743944e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.132
y[1] (analytic) = 0.92827587841925072425684408253008
y[1] (numeric) = 0.92827587841925080073730004356143
absolute error = 7.648045596103135e-17
relative error = 8.2389791374595398346471514862224e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.133
y[1] (analytic) = 0.92828430262970283245005869734619
y[1] (numeric) = 0.92828430262970290888593818813542
absolute error = 7.643587949078923e-17
relative error = 8.2341023406575773737518890115172e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.134
y[1] (analytic) = 0.92829180199294823604198701397779
y[1] (numeric) = 0.92829180199294831243323130279982
absolute error = 7.639124428882203e-17
relative error = 8.2292275041983334997893205209935e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=423.4MB, alloc=4.6MB, time=53.66
NO POLE
x[1] = 3.135
y[1] (analytic) = 0.92829837610150075387971101710408
y[1] (numeric) = 0.92829837610150083022626141670585
absolute error = 7.634655039960177e-17
relative error = 8.2243546218650271620281431034876e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.136
y[1] (analytic) = 0.92830402454879642239459742996485
y[1] (numeric) = 0.92830402454879649869639529764329
absolute error = 7.630179786767844e-17
relative error = 8.2194836874444279672752387735196e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.137
y[1] (analytic) = 0.92830874692919430215604963413528
y[1] (numeric) = 0.92830874692919437841303637181551
absolute error = 7.625698673768023e-17
relative error = 8.2146146947268445009915472945078e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.138
y[1] (analytic) = 0.92831254283797728350487256963764
y[1] (numeric) = 0.92831254283797735971698962395096
absolute error = 7.621211705431332e-17
relative error = 8.2097476375060652541114996122876e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.139
y[1] (analytic) = 0.92831541187135289126504498966561
y[1] (numeric) = 0.92831541187135296743223385202747
absolute error = 7.616718886236186e-17
relative error = 8.2048825095793200214232588082712e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.14
y[1] (analytic) = 0.9283173536264540885326943635531
y[1] (numeric) = 0.92831735362645416465489657024116
absolute error = 7.612220220668806e-17
relative error = 8.2000193047472531524400593545918e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.141
y[1] (analytic) = 0.92831836770134007954107064258004
y[1] (numeric) = 0.92831836770134015561822777481196
absolute error = 7.607715713223192e-17
relative error = 8.1951580168138580248904264869792e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.142
y[1] (analytic) = 0.92831845369499711160031602577042
y[1] (numeric) = 0.92831845369499718763236970978183
absolute error = 7.603205368401141e-17
relative error = 8.1902986395864599950416072786389e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.143
y[1] (analytic) = 0.92831761120733927611082878700637
y[1] (numeric) = 0.92831761120733935209772069412855
absolute error = 7.598689190712218e-17
relative error = 8.1854411668756487199855840036746e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.144
y[1] (analytic) = 0.92831583983920930864902015054907
y[1] (numeric) = 0.92831583983920938459069199728683
absolute error = 7.594167184673776e-17
relative error = 8.1805855924952632641420602002684e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.145
y[1] (analytic) = 0.92831313919237938812426412942877
y[1] (numeric) = 0.92831313919237946402065767753815
absolute error = 7.589639354810938e-17
relative error = 8.1757319102623362714633629896021e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.146
y[1] (analytic) = 0.92830950886955193500584117013483
y[1] (numeric) = 0.92830950886955201085689822670086
absolute error = 7.585105705656603e-17
relative error = 8.1708801139970639901849469391826e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.147
y[1] (analytic) = 0.92830494847436040861867737760682
y[1] (numeric) = 0.92830494847436048442433979512095
absolute error = 7.580566241751413e-17
relative error = 8.1660301975227342844138939432954e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.148
y[1] (analytic) = 0.92829945761137010350668202669335
y[1] (numeric) = 0.92829945761137017926689170313126
absolute error = 7.576020967643791e-17
relative error = 8.1611821546657311266370004094465e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.149
y[1] (analytic) = 0.92829303588607894486248700001233
y[1] (numeric) = 0.92829303588607902057718587891138
absolute error = 7.571469887889905e-17
relative error = 8.1563359792554593728664385624901e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.15
y[1] (analytic) = 0.9282856829049182830223927275049
y[1] (numeric) = 0.9282856829049183586915227980416
absolute error = 7.566913007053670e-17
relative error = 8.1514916651243104688157452991769e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.151
y[1] (analytic) = 0.92827739827525368702532613993288
y[1] (numeric) = 0.92827739827525376264882943700044
absolute error = 7.562350329706756e-17
relative error = 8.1466492061076346158294888004654e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.152
y[1] (analytic) = 0.92826818160538573723461708712047
y[1] (numeric) = 0.92826818160538581281243569140614
absolute error = 7.557781860428567e-17
relative error = 8.1418085960436816918762327565701e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.153
y[1] (analytic) = 0.92825803250455081702140061188458
y[1] (numeric) = 0.92825803250455089255347664994699
absolute error = 7.553207603806241e-17
relative error = 8.1369698287735647891639376026458e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.154
y[1] (analytic) = 0.92824695058292190350845341233565
y[1] (numeric) = 0.92824695058292197899472905668217
absolute error = 7.548627564434652e-17
relative error = 8.1321328981412259005341204877440e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.155
y[1] (analytic) = 0.92823493545160935737327376855953
y[1] (numeric) = 0.92823493545160943281369123772357
absolute error = 7.544041746916404e-17
relative error = 8.1272977979933929811281890917861e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.156
y[1] (analytic) = 0.92822198672266171170921515460997
y[1] (numeric) = 0.92822198672266178710371671322814
absolute error = 7.539450155861817e-17
relative error = 8.1224645221795283839617753214494e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.157
y[1] (analytic) = 0.9282081040090664599434847032503
y[1] (numeric) = 0.92820810400906653529201266213963
absolute error = 7.534852795888933e-17
relative error = 8.1176330645517988334481662093922e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.158
y[1] (analytic) = 0.92819328692475084281081863898133
y[1] (numeric) = 0.92819328692475091811331535521635
absolute error = 7.530249671623502e-17
relative error = 8.1128034189650238439169265929160e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.159
y[1] (analytic) = 0.92817753508458263438164774457735
y[1] (numeric) = 0.92817753508458270963805562156728
absolute error = 7.525640787698993e-17
relative error = 8.1079755792766510622374785719608e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.16
y[1] (analytic) = 0.92816084810437092714356687762585
y[1] (numeric) = 0.92816084810437100235382836519152
absolute error = 7.521026148756567e-17
relative error = 8.1031495393466906608793081121673e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.161
y[1] (analytic) = 0.92814322560086691613492350642378
y[1] (numeric) = 0.92814322560086699129898110087471
absolute error = 7.516405759445093e-17
relative error = 8.0983252930376960466580886371305e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=427.2MB, alloc=4.6MB, time=54.14
NO POLE
x[1] = 3.162
y[1] (analytic) = 0.92812466719176468212934118902812
y[1] (numeric) = 0.92812466719176475724713743323939
absolute error = 7.511779624421127e-17
relative error = 8.0935028342147046951440362423123e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.163
y[1] (analytic) = 0.92810517249570197386999487528489
y[1] (numeric) = 0.9281051724957020489414723587741
absolute error = 7.507147748348921e-17
relative error = 8.0886821567452112947544176369612e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.164
y[1] (analytic) = 0.92808474113226098935245586927231
y[1] (numeric) = 0.92808474113226106437755722827638
absolute error = 7.502510135900407e-17
relative error = 8.0838632544991139426243227501591e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.165
y[1] (analytic) = 0.92806337272196915615492524878565
y[1] (numeric) = 0.92806337272196923113359316633772
absolute error = 7.497866791755207e-17
relative error = 8.0790461213486883406849566590459e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.166
y[1] (analytic) = 0.92804106688629991081467549926625
y[1] (numeric) = 0.92804106688629998574685270527226
absolute error = 7.493217720600601e-17
relative error = 8.0742307511685167230975027403432e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.167
y[1] (analytic) = 0.92801782324767347724952108192942
y[1] (numeric) = 0.92801782324767355213515035324506
absolute error = 7.488562927131564e-17
relative error = 8.0694171378354911165271940756623e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.168
y[1] (analytic) = 0.92799364142945764422313961978173
y[1] (numeric) = 0.92799364142945771906216378028887
absolute error = 7.483902416050714e-17
relative error = 8.0646052752287206857172516965270e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.169
y[1] (analytic) = 0.92796852105596854185306635072642
y[1] (numeric) = 0.92796852105596861664542827140982
absolute error = 7.479236192068340e-17
relative error = 8.0597951572295252646996393387700e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.17
y[1] (analytic) = 0.92794246175247141716018546404701
y[1] (numeric) = 0.92794246175247149190582806307096
absolute error = 7.474564259902395e-17
relative error = 8.0549867777213911587147739850098e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.171
y[1] (analytic) = 0.9279154631451814086585429052228
y[1] (numeric) = 0.92791546314518148335740914800752
absolute error = 7.469886624278472e-17
relative error = 8.0501801305899086075322188989124e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.172
y[1] (analytic) = 0.9278875248612643199843062042697
y[1] (numeric) = 0.9278875248612643946363391035679
absolute error = 7.465203289929820e-17
relative error = 8.0453752097227523354215707683335e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.173
y[1] (analytic) = 0.92785864652883739256269785461566
y[1] (numeric) = 0.92785864652883746716784047058887
absolute error = 7.460514261597321e-17
relative error = 8.0405720090096200537454919706745e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.174
y[1] (analytic) = 0.92782882777697007731172974290617
y[1] (numeric) = 0.92782882777697015186992518320121
absolute error = 7.455819544029504e-17
relative error = 8.0357705223422108181560665836958e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.175
y[1] (analytic) = 0.9277980682356848053815671050969
y[1] (numeric) = 0.92779806823568487989275852492213
absolute error = 7.451119141982523e-17
relative error = 8.0309707436141645676139049374322e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.176
y[1] (analytic) = 0.92776636753595775792835146072064
y[1] (numeric) = 0.92776636753595783239248206292234
absolute error = 7.446413060220170e-17
relative error = 8.0261726667210393635646570909254e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.177
y[1] (analytic) = 0.92773372530971963492131295531881
y[1] (numeric) = 0.92773372530971970933832599045728
absolute error = 7.441701303513847e-17
relative error = 8.0213762855602444174052244599785e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.178
y[1] (analytic) = 0.92770014118985642298200352069755
y[1] (numeric) = 0.92770014118985649735184228712339
absolute error = 7.436983876642584e-17
relative error = 8.0165815940310226750454941761374e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.179
y[1] (analytic) = 0.92766561481021016225448324390949
y[1] (numeric) = 0.92766561481021023657709108783971
absolute error = 7.432260784393022e-17
relative error = 8.0117885860343956542949487944161e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.18
y[1] (analytic) = 0.92763014580557971230529331866802
y[1] (numeric) = 0.92763014580557978658061363426212
absolute error = 7.427532031559410e-17
relative error = 8.0069972554731233475672441684581e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.181
y[1] (analytic) = 0.92759373381172151705204993727473
y[1] (numeric) = 0.92759373381172159128002616671073
absolute error = 7.422797622943600e-17
relative error = 8.0022075962516619441252338101978e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.182
y[1] (analytic) = 0.92755637846535036871949446707931
y[1] (numeric) = 0.92755637846535044290007010062973
absolute error = 7.418057563355042e-17
relative error = 7.9974196022761215267890638720256e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.183
y[1] (analytic) = 0.92751807940414017082183624299424
y[1] (numeric) = 0.92751807940414024495495481910207
absolute error = 7.413311857610783e-17
relative error = 7.9926332674542280549711604171220e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.184
y[1] (analytic) = 0.92747883626672470017022529665319
y[1] (numeric) = 0.92747883626672477425583040200777
absolute error = 7.408560510535458e-17
relative error = 7.9878485856952766962924738227058e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.185
y[1] (analytic) = 0.92743864869269836790419333343058
y[1] (numeric) = 0.92743864869269844194222860304343
absolute error = 7.403803526961285e-17
relative error = 7.9830655509100894423933808589330e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.186
y[1] (analytic) = 0.92739751632261697954590226073025
y[1] (numeric) = 0.92739751632261705353631137801087
absolute error = 7.399040911728062e-17
relative error = 7.9782841570109748528873504822455e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.187
y[1] (analytic) = 0.92735543879799849407604056470168
y[1] (numeric) = 0.92735543879799856801876726153328
absolute error = 7.394272669683160e-17
relative error = 7.9735043979116834574035140115486e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.188
y[1] (analytic) = 0.92731241576132378203020882785205
y[1] (numeric) = 0.92731241576132385592519688466724
absolute error = 7.389498805681519e-17
relative error = 7.9687262675273663623306453548506e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=431.0MB, alloc=4.6MB, time=54.62
NO POLE
x[1] = 3.189
y[1] (analytic) = 0.92726844685603738261463667689061
y[1] (numeric) = 0.9272684468560374564618299227471
absolute error = 7.384719324585649e-17
relative error = 7.9639497597745392194313262775148e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.19
y[1] (analytic) = 0.92722353172654825984007444856789
y[1] (numeric) = 0.92722353172654833363941676122402
absolute error = 7.379934231265613e-17
relative error = 7.9591748685710267522070330811863e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.191
y[1] (analytic) = 0.92717767001823055767270386125331
y[1] (numeric) = 0.92717767001823063142413916724365
absolute error = 7.375143530599034e-17
relative error = 7.9544015878359331314580838128922e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.192
y[1] (analytic) = 0.92713086137742435420091298153291
y[1] (numeric) = 0.92713086137742442790438525624366
absolute error = 7.370347227471075e-17
relative error = 7.9496299114895831997547787760489e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.193
y[1] (analytic) = 0.92708310545143641481678177819939
y[1] (numeric) = 0.92708310545143648847223504594394
absolute error = 7.365545326774455e-17
relative error = 7.9448598334535024889315579301206e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.194
y[1] (analytic) = 0.92703440188854094441112556065243
y[1] (numeric) = 0.92703440188854101801850389474669
absolute error = 7.360737833409426e-17
relative error = 7.9400913476503551406482775761186e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.195
y[1] (analytic) = 0.9269847503379803385809446049231
y[1] (numeric) = 0.92698475033798041214019212776084
absolute error = 7.355924752283774e-17
relative error = 7.9353244480039076762740616087480e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.196
y[1] (analytic) = 0.92693415044996593384812927828498
y[1] (numeric) = 0.92693415044996600735919016141321
absolute error = 7.351106088312823e-17
relative error = 7.9305591284389959694916202569569e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.197
y[1] (analytic) = 0.92688260187567875688827098271302
y[1] (numeric) = 0.9268826018756788303510894469071
absolute error = 7.346281846419408e-17
relative error = 7.9257953828814587401749776306394e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.198
y[1] (analytic) = 0.92683010426727027276843024829758
y[1] (numeric) = 0.92683010426727034618295056363653
absolute error = 7.341452031533895e-17
relative error = 7.9210332052581217135593477299460e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.199
y[1] (analytic) = 0.92677665727786313219271432011818
y[1] (numeric) = 0.92677665727786320555888080605978
absolute error = 7.336616648594160e-17
relative error = 7.9162725894967375111510896863414e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2
y[1] (analytic) = 0.92672226056155191775451759602275
y[1] (numeric) = 0.92672226056155199107227462147861
absolute error = 7.331775702545586e-17
relative error = 7.9115135295259449202762145365787e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.201
y[1] (analytic) = 0.92666691377340388919427928824747
y[1] (numeric) = 0.92666691377340396246357127165811
absolute error = 7.326929198341064e-17
relative error = 7.9067560192752324413489200911078e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.202
y[1] (analytic) = 0.92661061656945972766161369884597
y[1] (numeric) = 0.92661061656945980088238510825583
absolute error = 7.322077140940986e-17
relative error = 7.9020000526748931635612711739026e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.203
y[1] (analytic) = 0.92655336860673427898066951747412
y[1] (numeric) = 0.92655336860673435215286487060645
absolute error = 7.317219535313233e-17
relative error = 7.8972456236559742024464204600104e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.204
y[1] (analytic) = 0.92649516954321729591757557019704
y[1] (numeric) = 0.92649516954321736904113943452882
absolute error = 7.312356386433178e-17
relative error = 7.8924927261502422828623849090308e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.205
y[1] (analytic) = 0.92643601903787417944883146964774
y[1] (numeric) = 0.92643601903787425252370846248455
absolute error = 7.307487699283681e-17
relative error = 7.8877413540901406473804437506746e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.206
y[1] (analytic) = 0.92637591675064671902950264006993
y[1] (numeric) = 0.92637591675064679205563742862065
absolute error = 7.302613478855072e-17
relative error = 7.8829915014087329676758151589583e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.207
y[1] (analytic) = 0.92631486234245383186008021552014
y[1] (numeric) = 0.92631486234245390483741751697177
absolute error = 7.297733730145163e-17
relative error = 7.8782431620396785135830382933961e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.208
y[1] (analytic) = 0.92625285547519230115086733578691
y[1] (numeric) = 0.92625285547519237407935191737925
absolute error = 7.292848458159234e-17
relative error = 7.8734963299171792143990174854120e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.209
y[1] (analytic) = 0.9261898958117375133827543924035
y[1] (numeric) = 0.92618989581173758626233107150377
absolute error = 7.287957667910027e-17
relative error = 7.8687509989759353082374211375465e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.21
y[1] (analytic) = 0.92612598301594419456324680648703
y[1] (numeric) = 0.92612598301594426739386045066442
absolute error = 7.283061364417739e-17
relative error = 7.8640071631510998647188935326605e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.211
y[1] (analytic) = 0.92606111675264714547660995102833
y[1] (numeric) = 0.92606111675264721825820547812864
absolute error = 7.278159552710031e-17
relative error = 7.8592648163782505369852465266349e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.212
y[1] (analytic) = 0.92599529668766197592699686268378
y[1] (numeric) = 0.92599529668766204865951924090374
absolute error = 7.273252237821996e-17
relative error = 7.8545239525933169954178192728112e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.213
y[1] (analytic) = 0.92592852248778583797342542207843
y[1] (numeric) = 0.92592852248778591065681967004028
absolute error = 7.268339424796185e-17
relative error = 7.8497845657325709399556400226851e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.214
y[1] (analytic) = 0.92586079382079815815547271712388
y[1] (numeric) = 0.92586079382079823078968390394967
absolute error = 7.263421118682579e-17
relative error = 7.8450466497325577531564776876593e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.215
y[1] (analytic) = 0.92579211035546136870855534087575
y[1] (numeric) = 0.92579211035546144129352858626166
absolute error = 7.258497324538591e-17
relative error = 7.8403101985300604967683937611057e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=434.8MB, alloc=4.6MB, time=55.12
NO POLE
x[1] = 3.216
y[1] (analytic) = 0.92572247176152163776766541401052
y[1] (numeric) = 0.92572247176152171030334588830118
absolute error = 7.253568047429066e-17
relative error = 7.8355752060620616999453893197007e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.217
y[1] (analytic) = 0.92565187770970959855843316208393
y[1] (numeric) = 0.92565187770970967104476608634664
absolute error = 7.248633292426271e-17
relative error = 7.8308416662656942947677102451316e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.218
y[1] (analytic) = 0.9255803278717410775743879193441
y[1] (numeric) = 0.92558032787174115001131856544293
absolute error = 7.243693064609883e-17
relative error = 7.8261095730781903357692966147563e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.219
y[1] (analytic) = 0.92550782192031782173929047401044
y[1] (numeric) = 0.92550782192031789412676416468043
absolute error = 7.238747369066999e-17
relative error = 7.8213789204368534330796884220676e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.22
y[1] (analytic) = 0.925434359529128224553410714594
y[1] (numeric) = 0.92543435952912829689137282351521
absolute error = 7.233796210892121e-17
relative error = 7.8166497022790041244591007212291e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.221
y[1] (analytic) = 0.92535994037284805122262558302331
y[1] (numeric) = 0.92535994037284812351102153489478
absolute error = 7.228839595187147e-17
relative error = 7.8119219125419316710483648669319e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.222
y[1] (analytic) = 0.92528456412714116276921338805264
y[1] (numeric) = 0.9252845641271412350079886586664
absolute error = 7.223877527061376e-17
relative error = 7.8071955451628609254756475611177e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.223
y[1] (analytic) = 0.92520823046866023912322158166565
y[1] (numeric) = 0.92520823046866031131232169798058
absolute error = 7.218910011631493e-17
relative error = 7.8024705940788975316692536667656e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.224
y[1] (analytic) = 0.92513093907504750119328615194391
y[1] (numeric) = 0.92513093907504757333265669215972
absolute error = 7.213937054021581e-17
relative error = 7.7977470532270022467792561566332e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.225
y[1] (analytic) = 0.92505268962493543191578183814868
y[1] (numeric) = 0.92505268962493550400536843177951
absolute error = 7.208958659363083e-17
relative error = 7.7930249165439111629339646880969e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.226
y[1] (analytic) = 0.92497348179794749628118342755995
y[1] (numeric) = 0.92497348179794756832093175550831
absolute error = 7.203974832794836e-17
relative error = 7.7883041779661336916919061210072e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.227
y[1] (analytic) = 0.92489331527469886033651944893505
y[1] (numeric) = 0.92489331527469893232637524356539
absolute error = 7.198985579463034e-17
relative error = 7.7835848314298737443827170858751e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.228
y[1] (analytic) = 0.9248121897367971091628006342796
y[1] (numeric) = 0.92481218973679718110270967949204
absolute error = 7.193990904521244e-17
relative error = 7.7788668708710081425840294889044e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.229
y[1] (analytic) = 0.92473010486684296382630657897524
y[1] (numeric) = 0.92473010486684303571621471027908
absolute error = 7.188990813130384e-17
relative error = 7.7741502902250238856614522278516e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.23
y[1] (analytic) = 0.92464706034843099730261509017142
y[1] (numeric) = 0.92464706034843106914246819475877
absolute error = 7.183985310458735e-17
relative error = 7.7694350834269921167581570655668e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.231
y[1] (analytic) = 0.92456305586615034937225977472858
y[1] (numeric) = 0.92456305586615042116200379154774
absolute error = 7.178974401681916e-17
relative error = 7.7647212444115020163495175000799e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.232
y[1] (analytic) = 0.92447809110558544048690248089031
y[1] (numeric) = 0.92447809110558551222648340071929
absolute error = 7.173958091982898e-17
relative error = 7.7600087671126368057349529907557e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.233
y[1] (analytic) = 0.92439216575331668460490827226688
y[1] (numeric) = 0.92439216575331675629427213778673
absolute error = 7.168936386551985e-17
relative error = 7.7552976454639139975779359467531e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.234
y[1] (analytic) = 0.9243052794969212009952116786257
y[1] (numeric) = 0.92430527949692127263430458449378
absolute error = 7.163909290586808e-17
relative error = 7.7505878733982396367250685301023e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.235
y[1] (analytic) = 0.92421743202497352500836403540855
y[1] (numeric) = 0.92421743202497359659713212833196
absolute error = 7.158876809292341e-17
relative error = 7.7458794448478862774493939440280e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.236
y[1] (analytic) = 0.92412862302704631781365279282887
y[1] (numeric) = 0.92412862302704638935204227163749
absolute error = 7.153838947880862e-17
relative error = 7.7411723537444113905238989737035e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.237
y[1] (analytic) = 0.92403885219371107510118474584025
y[1] (numeric) = 0.92403885219371114658914186155999
absolute error = 7.148795711571974e-17
relative error = 7.7364665940186406129471362864405e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.238
y[1] (analytic) = 0.9239481192165388347478262082159
y[1] (numeric) = 0.92394811921653890618529726414183
absolute error = 7.143747105592593e-17
relative error = 7.7317621596006152282807412632918e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.239
y[1] (analytic) = 0.92385642378810088344589422742907
y[1] (numeric) = 0.92385642378810095483282557919841
absolute error = 7.138693135176934e-17
relative error = 7.7270590444195374075505835648096e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.24
y[1] (analytic) = 0.92376376560196946229349401198032
y[1] (numeric) = 0.92376376560196953362983206764547
absolute error = 7.133633805566515e-17
relative error = 7.7223572424037348587189437239812e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.241
y[1] (analytic) = 0.92367014435271847134539881927674
y[1] (numeric) = 0.92367014435271854263109003937822
absolute error = 7.128569122010148e-17
relative error = 7.7176567474806113357065876315272e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.242
y[1] (analytic) = 0.92357555973592417312336963012842
y[1] (numeric) = 0.92357555973592424435836052776773
absolute error = 7.123499089763931e-17
relative error = 7.7129575535765981547033274082837e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=438.7MB, alloc=4.6MB, time=55.62
NO POLE
x[1] = 3.243
y[1] (analytic) = 0.92348001144816589508481301538909
y[1] (numeric) = 0.92348001144816596626905015630164
absolute error = 7.118423714091255e-17
relative error = 7.7082596546171218776302955047693e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.244
y[1] (analytic) = 0.92338349918702673104867668122939
y[1] (numeric) = 0.92338349918702680218210668385716
absolute error = 7.113343000262777e-17
relative error = 7.7035630445265351079820528754635e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.245
y[1] (analytic) = 0.92328602265109424157748326198976
y[1] (numeric) = 0.92328602265109431266005279755417
absolute error = 7.108256953556441e-17
relative error = 7.6988677172280991844648557829522e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.246
y[1] (analytic) = 0.92318758153996115331440401351903
y[1] (numeric) = 0.9231875815399612243460598060934
absolute error = 7.103165579257437e-17
relative error = 7.6941736666438996574387878589192e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.247
y[1] (analytic) = 0.92308817555422605727427514535561
y[1] (numeric) = 0.92308817555422612825496397193801
absolute error = 7.098068882658240e-17
relative error = 7.6894808866948483287430444666245e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.248
y[1] (analytic) = 0.92298780439549410608746061705989
y[1] (numeric) = 0.92298780439549417701712930764557
absolute error = 7.092966869058568e-17
relative error = 7.6847893713005974856056188146288e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.249
y[1] (analytic) = 0.92288646776637771019546631244629
y[1] (numeric) = 0.9228864677663777810740617501002
absolute error = 7.087859543765391e-17
relative error = 7.6800991143795092908731567147654e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.25
y[1] (analytic) = 0.92278416537049723299721159540085
y[1] (numeric) = 0.9227841653704973038246807163301
absolute error = 7.082746912092925e-17
relative error = 7.6754101098486088479663784887117e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.251
y[1] (analytic) = 0.92268089691248168494486534239705
y[1] (numeric) = 0.92268089691248175572115513602331
absolute error = 7.077628979362626e-17
relative error = 7.6707223516235371842426386975787e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.252
y[1] (analytic) = 0.92257666209796941658815463974056
y[1] (numeric) = 0.92257666209796948731321214877244
absolute error = 7.072505750903188e-17
relative error = 7.6660358336185084875217741121727e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.253
y[1] (analytic) = 0.92247146063360881056605542798154
y[1] (numeric) = 0.92247146063360888123982774848682
absolute error = 7.067377232050528e-17
relative error = 7.6613505497462531695513719881682e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.254
y[1] (analytic) = 0.92236529222705897254477547182871
y[1] (numeric) = 0.92236529222705904316720975330658
absolute error = 7.062243428147787e-17
relative error = 7.6566664939179781851255690127461e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.255
y[1] (analytic) = 0.92225815658699042110094113128299
y[1] (numeric) = 0.92225815658699049167198457673622
absolute error = 7.057104344545323e-17
relative error = 7.6519836600433185967223386110874e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.256
y[1] (analytic) = 0.92215005342308577654890050857767
y[1] (numeric) = 0.9221500534230858470685003745848
absolute error = 7.051959986600713e-17
relative error = 7.6473020420302988119479275587242e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.257
y[1] (analytic) = 0.92204098244604044871105664586681
y[1] (numeric) = 0.92204098244604051917916024265413
absolute error = 7.046810359678732e-17
relative error = 7.6426216337852687952839712998816e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.258
y[1] (analytic) = 0.9219309433675633236301455504409
y[1] (numeric) = 0.92193094336756339404670024195447
absolute error = 7.041655469151357e-17
relative error = 7.6379424292128672971797745436974e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.259
y[1] (analytic) = 0.92181993590037744922237492757046
y[1] (numeric) = 0.92181993590037751958732813154807
absolute error = 7.036495320397761e-17
relative error = 7.6332644222159741536564574744898e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.26
y[1] (analytic) = 0.9217079597582207198703406058802
y[1] (numeric) = 0.92170795975822079018363979392334
absolute error = 7.031329918804314e-17
relative error = 7.6285876066956700905055874104352e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.261
y[1] (analytic) = 0.92159501465584655995463874643947
y[1] (numeric) = 0.92159501465584663021623144408506
absolute error = 7.026159269764559e-17
relative error = 7.6239119765511693152258581391621e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.262
y[1] (analytic) = 0.92148110030902460632309303451586
y[1] (numeric) = 0.92148110030902467653292682130803
absolute error = 7.020983378679217e-17
relative error = 7.6192375256797834737409887809884e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.263
y[1] (analytic) = 0.92136621643454138969651716217969
y[1] (numeric) = 0.92136621643454145985453967174165
absolute error = 7.015802250956196e-17
relative error = 7.6145642479768898643345819803927e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.264
y[1] (analytic) = 0.92125036275020101500993402066421
y[1] (numeric) = 0.92125036275020108511609294076974
absolute error = 7.010615892010553e-17
relative error = 7.6098921373358485523770466582197e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.265
y[1] (analytic) = 0.92113353897482584068817413357751
y[1] (numeric) = 0.92113353897482591074241720622274
absolute error = 7.005424307264523e-17
relative error = 7.6052211876479921005020794008259e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.266
y[1] (analytic) = 0.92101574482825715685477697573185
y[1] (numeric) = 0.92101574482825722685705199720666
absolute error = 7.000227502147481e-17
relative error = 7.6005513928025424860367543918031e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.267
y[1] (analytic) = 0.92089698003135586247311993749422
y[1] (numeric) = 0.92089698003135593242337475845387
absolute error = 6.995025482095965e-17
relative error = 7.5958827466865941348107696332472e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.268
y[1] (analytic) = 0.92077724430600314141870081117732
y[1] (numeric) = 0.92077724430600321131688333671383
absolute error = 6.989818252553651e-17
relative error = 7.5912152431850447516053616564399e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.269
y[1] (analytic) = 0.92065653737510113748150079407252
y[1] (numeric) = 0.92065653737510120732755898378606
absolute error = 6.984605818971354e-17
relative error = 7.5865488761805542765463170392134e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=442.5MB, alloc=4.6MB, time=56.11
NO POLE
x[1] = 3.27
y[1] (analytic) = 0.92053485896257362829735612228127
y[1] (numeric) = 0.92053485896257369809123799035148
absolute error = 6.979388186807021e-17
relative error = 7.5818836395534950570515260642182e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.271
y[1] (analytic) = 0.92041220879336669820726757052401
y[1] (numeric) = 0.92041220879336676794892118578135
absolute error = 6.974165361525734e-17
relative error = 7.5772195271819127828518032079587e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.272
y[1] (analytic) = 0.92028858659344941004357817559631
y[1] (numeric) = 0.92028858659344947973295166159318
absolute error = 6.968937348599687e-17
relative error = 7.5725565329414590751039124036630e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.273
y[1] (analytic) = 0.92016399208981447584195066509804
y[1] (numeric) = 0.92016399208981454547899220018001
absolute error = 6.963704153508197e-17
relative error = 7.5678946507053609077976132061331e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.274
y[1] (analytic) = 0.92003842501047892647807719848466
y[1] (numeric) = 0.92003842501047899606273501586149
absolute error = 6.958465781737683e-17
relative error = 7.5632338743443551591817945447641e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.275
y[1] (analytic) = 0.91991188508448478022805515437455
y[1] (numeric) = 0.9199118850844848497602775421913
absolute error = 6.953222238781675e-17
relative error = 7.5585741977266556568813274884242e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.276
y[1] (analytic) = 0.91978437204189971025136382639657
y[1] (numeric) = 0.91978437204189977973109912780463
absolute error = 6.947973530140806e-17
relative error = 7.5539156147179016480180716268435e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.277
y[1] (analytic) = 0.91965588561381771099537801967213
y[1] (numeric) = 0.91965588561381778042257463290001
absolute error = 6.942719661322788e-17
relative error = 7.5492581191810887629681089068918e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.278
y[1] (analytic) = 0.91952642553235976352035567129708
y[1] (numeric) = 0.91952642553235983289496204972139
absolute error = 6.937460637842431e-17
relative error = 7.5446017049765466179869854605079e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.279
y[1] (analytic) = 0.91939599153067449974383775092045
y[1] (numeric) = 0.91939599153067456906580240313672
absolute error = 6.932196465221627e-17
relative error = 7.5399463659618782633432353661236e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.28
y[1] (analytic) = 0.91926458334293886560339983170486
y[1] (numeric) = 0.91926458334293893487267132159824
absolute error = 6.926927148989338e-17
relative error = 7.5352920959919038636673675235417e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.281
y[1] (analytic) = 0.9191322007043587831366958575996
y[1] (numeric) = 0.91913220070435885235322280441557
absolute error = 6.921652694681597e-17
relative error = 7.5306388889186184054474455499481e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.282
y[1] (analytic) = 0.91899884335116981147773576995903
y[1] (numeric) = 0.91899884335116988064146684837404
absolute error = 6.916373107841501e-17
relative error = 7.5259867385911405938788648530549e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.283
y[1] (analytic) = 0.91886451102063780676833979509501
y[1] (numeric) = 0.91886451102063787587922373528713
absolute error = 6.911088394019212e-17
relative error = 7.5213356388556703420723026812831e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.284
y[1] (analytic) = 0.91872920345105958098371333436184
y[1] (numeric) = 0.91872920345105965004169892208119
absolute error = 6.905798558771935e-17
relative error = 7.5166855835554211182456262957520e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.285
y[1] (analytic) = 0.9185929203817635596710875398335
y[1] (numeric) = 0.91859292038176362867612361647271
absolute error = 6.900503607663921e-17
relative error = 7.5120365665305793778400900322762e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.286
y[1] (analytic) = 0.91845566155311043860037180154611
y[1] (numeric) = 0.91845566155311050755240726421085
absolute error = 6.895203546266474e-17
relative error = 7.5073885816182682430847323130747e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.287
y[1] (analytic) = 0.91831742670649383932576551664159
y[1] (numeric) = 0.9183174267064939082247493182208
absolute error = 6.889898380157921e-17
relative error = 7.5027416226524707868747685617955e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.288
y[1] (analytic) = 0.91817821558434096365727765655846
y[1] (numeric) = 0.91817821558434103250315880579466
absolute error = 6.884588114923620e-17
relative error = 7.4980956834639945609362725764055e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.289
y[1] (analytic) = 0.91803802793011324704110379567549
y[1] (numeric) = 0.91803802793011331583383135723503
absolute error = 6.879272756155954e-17
relative error = 7.4934507578804207682839501076886e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.29
y[1] (analytic) = 0.9178968634883070108478114135183
y[1] (numeric) = 0.91789686348830707958733450806157
absolute error = 6.873952309454327e-17
relative error = 7.4888068397260554939675447069187e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.291
y[1] (analytic) = 0.91775472200445411356728543278876
y[1] (numeric) = 0.91775472200445418225355323704026
absolute error = 6.868626780425150e-17
relative error = 7.4841639228218699199801784757094e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.292
y[1] (analytic) = 0.91761160322512260090938710707065
y[1] (numeric) = 0.91761160322512266954234885388897
absolute error = 6.863296174681832e-17
relative error = 7.4795220009854458581635578898663e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.293
y[1] (analytic) = 0.91746750689791735480928052510102
y[1] (numeric) = 0.91746750689791742338888550354905
absolute error = 6.857960497844803e-17
relative error = 7.4748810680309560346213223724773e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.294
y[1] (analytic) = 0.91732243277148074133638215297538
y[1] (numeric) = 0.91732243277148080986257970838999
absolute error = 6.852619755541461e-17
relative error = 7.4702411177690614291028265526607e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.295
y[1] (analytic) = 0.91717638059549325750588999157012
y[1] (numeric) = 0.91717638059549332597862952563224
absolute error = 6.847273953406212e-17
relative error = 7.4656021440069098378028104305128e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.296
y[1] (analytic) = 0.91702935012067417699185008382527
y[1] (numeric) = 0.91702935012067424541108105462957
absolute error = 6.841923097080430e-17
relative error = 7.4609641405480471184195558379409e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=446.3MB, alloc=4.6MB, time=56.59
NO POLE
x[1] = 3.297
y[1] (analytic) = 0.91688134109878219474071926532216
y[1] (numeric) = 0.91688134109878226310639118744692
absolute error = 6.836567192212476e-17
relative error = 7.4563271011923926197986728453992e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.298
y[1] (analytic) = 0.91673235328261607048438421182366
y[1] (numeric) = 0.91673235328261613879644665640042
absolute error = 6.831206244457676e-17
relative error = 7.4516910197361697842667823651790e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.299
y[1] (analytic) = 0.91658238642601527115159799910931
y[1] (numeric) = 0.91658238642601533941000059389244
absolute error = 6.825840259478313e-17
relative error = 7.4470558899718518764471834049717e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3
y[1] (analytic) = 0.91643144028386061217679655353824
y[1] (numeric) = 0.91643144028386068038148898297463
absolute error = 6.820469242943639e-17
relative error = 7.4424217056881294017427961652453e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.301
y[1] (analytic) = 0.91627951461207489770525853630654
y[1] (numeric) = 0.91627951461207496585619054160508
absolute error = 6.815093200529854e-17
relative error = 7.4377884606698413959980278173157e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.302
y[1] (analytic) = 0.91612660916762355969357337032911
y[1] (numeric) = 0.91612660916762362779069474953014
absolute error = 6.809712137920103e-17
relative error = 7.4331561486979262127262163499374e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.303
y[1] (analytic) = 0.91597272370851529590438328607183
y[1] (numeric) = 0.91597272370851536394764389411658
absolute error = 6.804326060804475e-17
relative error = 7.4285247635493743616869430955087e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.304
y[1] (analytic) = 0.91581785799380270679436643148408
y[1] (numeric) = 0.91581785799380277478371618028392
absolute error = 6.798934974879984e-17
relative error = 7.4238942989971615618992623895255e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.305
y[1] (analytic) = 0.91566201178358293129442926143284
y[1] (numeric) = 0.91566201178358299922981811993867
absolute error = 6.793538885850583e-17
relative error = 7.4192647488102176820327454052234e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.306
y[1] (analytic) = 0.91550518483899828148107759371968
y[1] (numeric) = 0.9155051848389983493624555879911
absolute error = 6.788137799427142e-17
relative error = 7.4146361067533562416467827731424e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.307
y[1] (analytic) = 0.91534737692223687613793689186489
y[1] (numeric) = 0.9153473769222369439652541051393
absolute error = 6.782731721327441e-17
relative error = 7.4100083665872201417034769455779e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.308
y[1] (analytic) = 0.91518858779653327320639350937182
y[1] (numeric) = 0.91518858779653334097960008213366
absolute error = 6.777320657276184e-17
relative error = 7.4053815220682501986717107730849e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.309
y[1] (analytic) = 0.91502881722616910112432980613659
y[1] (numeric) = 0.91502881722616916884337593618627
absolute error = 6.771904613004968e-17
relative error = 7.4007555669486043801638591773779e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.31
y[1] (analytic) = 0.91486806497647368905192722503989
y[1] (numeric) = 0.91486806497647375671676316756279
absolute error = 6.766483594252290e-17
relative error = 7.3961304949761184043923662003849e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.311
y[1] (analytic) = 0.91470633081382469598351259555265
y[1] (numeric) = 0.91470633081382476359408866318806
absolute error = 6.761057606763541e-17
relative error = 7.3915062998942519973906185714465e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.312
y[1] (analytic) = 0.91454361450564873874442411139932
y[1] (numeric) = 0.91454361450564880630069067430928
absolute error = 6.755626656290996e-17
relative error = 7.3868829754420306303894637709230e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.313
y[1] (analytic) = 0.91437991582042201887187461095356
y[1] (numeric) = 0.91437991582042208637378209689166
absolute error = 6.750190748593810e-17
relative error = 7.3822605153539936670143842962329e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.314
y[1] (analytic) = 0.91421523452767094837879097208864
y[1] (numeric) = 0.91421523452767101582628986646878
absolute error = 6.744749889438014e-17
relative error = 7.3776389133601423642334325808657e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.315
y[1] (analytic) = 0.9140495703979727743996096176681
y[1] (numeric) = 0.91404957039797284179265046363312
absolute error = 6.739304084596502e-17
relative error = 7.3730181631858778795751772339760e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.316
y[1] (analytic) = 0.91388292320295620271700931373902
y[1] (numeric) = 0.91388292320295627005554271222938
absolute error = 6.733853339849036e-17
relative error = 7.3683982585519588151202057645875e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.317
y[1] (analytic) = 0.91371529271530202016856362978131
y[1] (numeric) = 0.91371529271530208745254023960353
absolute error = 6.728397660982222e-17
relative error = 7.3637791931744268837815367196232e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.318
y[1] (analytic) = 0.91354667870874371593229661906736
y[1] (numeric) = 0.91354667870874378316166715696264
absolute error = 6.722937053789528e-17
relative error = 7.3591609607645783749692783615183e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.319
y[1] (analytic) = 0.91337708095806810169012646730027
y[1] (numeric) = 0.91337708095806816886484170801284
absolute error = 6.717471524071257e-17
relative error = 7.3545435550288862267445125843970e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.32
y[1] (analytic) = 0.9132064992391159306681830492192
y[1] (numeric) = 0.91320649923911599778819382556469
absolute error = 6.712001077634549e-17
relative error = 7.3499269696689536725520278369471e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.321
y[1] (analytic) = 0.91303493332878251555298652579087
y[1] (numeric) = 0.91303493332878258261824372872471
absolute error = 6.706525720293384e-17
relative error = 7.3453111983814688355156490232771e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.322
y[1] (analytic) = 0.91286238300501834528247530894285
y[1] (numeric) = 0.91286238300501841229292988762838
absolute error = 6.701045457868553e-17
relative error = 7.3406962348581241206427447567556e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.323
y[1] (analytic) = 0.91268884804682970071087291653473
y[1] (numeric) = 0.91268884804682976766647587841148
absolute error = 6.695560296187675e-17
relative error = 7.3360820727855858189921159119423e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=450.1MB, alloc=4.6MB, time=57.08
NO POLE
x[1] = 3.324
y[1] (analytic) = 0.91251432823427926914638443741109
y[1] (numeric) = 0.91251432823427933604708684826286
absolute error = 6.690070241085177e-17
relative error = 7.3314687058454230318945143655759e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.325
y[1] (analytic) = 0.9123388233484867577607145249274
y[1] (numeric) = 0.91233882334848682460646750895032
absolute error = 6.684575298402292e-17
relative error = 7.3268561277140561445489477679114e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.326
y[1] (analytic) = 0.91216233317162950586940003729142
y[1] (numeric) = 0.91216233317162957266015477716201
absolute error = 6.679075473987059e-17
relative error = 7.3222443320627073332933409080758e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.327
y[1] (analytic) = 0.91198485748694309608195164441332
y[1] (numeric) = 0.91198485748694316281765938135632
absolute error = 6.673570773694300e-17
relative error = 7.3176333125573256955854345563257e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.328
y[1] (analytic) = 0.9118063960787219643207999237071
y[1] (numeric) = 0.91180639607872203100141195756343
absolute error = 6.668061203385633e-17
relative error = 7.3130230628585516736915520796788e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.329
y[1] (analytic) = 0.91162694873232000870804267143462
y[1] (numeric) = 0.91162694873232007533351036072918
absolute error = 6.662546768929456e-17
relative error = 7.3084135766216495236014637153560e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.33
y[1] (analytic) = 0.91144651523415119731899136172685
y[1] (numeric) = 0.91144651523415126388926612373623
absolute error = 6.657027476200938e-17
relative error = 7.3038048474964472819060082330824e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.331
y[1] (analytic) = 0.91126509537169017480151589235684
y[1] (numeric) = 0.91126509537169024131654920317703
absolute error = 6.651503331082019e-17
relative error = 7.2991968691272864344742639187509e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.332
y[1] (analytic) = 0.91108268893347286786018796467251
y[1] (numeric) = 0.91108268893347293431993135928656
absolute error = 6.645974339461405e-17
relative error = 7.2945896351529659330005386904962e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.333
y[1] (analytic) = 0.91089929570909708960422465482332
y[1] (numeric) = 0.91089929570909715600862972716885
absolute error = 6.640440507234553e-17
relative error = 7.2899831392066750614014663373258e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.334
y[1] (analytic) = 0.91071491548922314275823494453224
y[1] (numeric) = 0.91071491548922320910725334756897
absolute error = 6.634901840303673e-17
relative error = 7.2853773749159447821977109027460e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.335
y[1] (analytic) = 0.91052954806557442173477319217262
y[1] (numeric) = 0.91052954806557448802835663794978
absolute error = 6.629358344577716e-17
relative error = 7.2807723359025835417376858604848e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.336
y[1] (analytic) = 0.91034319323093801356770473880546
y[1] (numeric) = 0.91034319323093807980580499852921
absolute error = 6.623810025972375e-17
relative error = 7.2761680157826271702020540933393e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.337
y[1] (analytic) = 0.91015585077916529770539005911718
y[1] (numeric) = 0.9101558507791653638879589632179
absolute error = 6.618256890410072e-17
relative error = 7.2715644081662732301585571806077e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.338
y[1] (analytic) = 0.9099675205051725446626950838678
y[1] (numeric) = 0.9099675205051726107896845220673
absolute error = 6.612698943819950e-17
relative error = 7.2669615066578206700342624641200e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.339
y[1] (analytic) = 0.90977820220494151353083653851481
y[1] (numeric) = 0.90977820220494157960219845989357
absolute error = 6.607136192137876e-17
relative error = 7.2623593048556213839229080937942e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.34
y[1] (analytic) = 0.90958789567552004834407236211712
y[1] (numeric) = 0.9095878956755201143597587751814
absolute error = 6.601568641306428e-17
relative error = 7.2577577963520140101894379347203e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.341
y[1] (analytic) = 0.9093966007150226733022484914445
y[1] (numeric) = 0.90939660071502273926221146419337
absolute error = 6.595996297274887e-17
relative error = 7.2531569747332630340220900865235e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.342
y[1] (analytic) = 0.90920431712263118684821451742009
y[1] (numeric) = 0.90920431712263125275240617741247
absolute error = 6.590419165999238e-17
relative error = 7.2485568335795075998978227697326e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.343
y[1] (analytic) = 0.90901104469859525459912194460619
y[1] (numeric) = 0.90901104469859532044749447902775
absolute error = 6.584837253442156e-17
relative error = 7.2439573664646936448765659189116e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.344
y[1] (analytic) = 0.90881678324423300113062000940334
y[1] (numeric) = 0.9088167832442330669231256651334
absolute error = 6.579250565573006e-17
relative error = 7.2393585669565212363948436214399e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.345
y[1] (analytic) = 0.90862153256193160061296523897113
y[1] (numeric) = 0.90862153256193166634955632264941
absolute error = 6.573659108367828e-17
relative error = 7.2347604286163752195741029738647e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.346
y[1] (analytic) = 0.908425292455147866298062160592
y[1] (numeric) = 0.90842529245514793197869103868542
absolute error = 6.568062887809342e-17
relative error = 7.2301629449992776759855618434444e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.347
y[1] (analytic) = 0.9082280627284088388564538002881
y[1] (numeric) = 0.90822806272840890448107289915747
absolute error = 6.562461909886937e-17
relative error = 7.2255661096538225879949907918332e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.348
y[1] (analytic) = 0.90802984318731237356328183996219
y[1] (numeric) = 0.90802984318731243913184364592873
absolute error = 6.556856180596654e-17
relative error = 7.2209699161221036934378780971026e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.349
y[1] (analytic) = 0.90783063363852772633223753416649
y[1] (numeric) = 0.90783063363852779184469459357847
absolute error = 6.551245705941198e-17
relative error = 7.2163743579396740722919838365204e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.35
y[1] (analytic) = 0.9076304338897961385965257208083
y[1] (numeric) = 0.90763043388979620405283064010748
absolute error = 6.545630491929918e-17
relative error = 7.2117794286354703048947896956576e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=453.9MB, alloc=4.6MB, time=57.56
x[1] = 3.351
y[1] (analytic) = 0.90742924374993142103586549467309
y[1] (numeric) = 0.90742924374993148643597094046122
absolute error = 6.540010544578813e-17
relative error = 7.2071851217317650628007700056281e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.352
y[1] (analytic) = 0.90722706302882053614855234858814
y[1] (numeric) = 0.90722706302882060149241104769318
absolute error = 6.534385869910504e-17
relative error = 7.2025914307440820394783425941918e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.353
y[1] (analytic) = 0.90702389153742417966760782435621
y[1] (numeric) = 0.90702389153742424495517256389876
absolute error = 6.528756473954255e-17
relative error = 7.1979983491811646689497368905682e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.354
y[1] (analytic) = 0.90681972908777736082004395426354
y[1] (numeric) = 0.90681972908777742605126758172301
absolute error = 6.523122362745947e-17
relative error = 7.1934058705448928508878511060295e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.355
y[1] (analytic) = 0.90661457549298998142827101400215
y[1] (numeric) = 0.90661457549299004660310643728286
absolute error = 6.517483542328071e-17
relative error = 7.1888139883302203975727941150954e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.356
y[1] (analytic) = 0.9064084305672474138526783492469
y[1] (numeric) = 0.90640843056724747897107853674432
absolute error = 6.511840018749742e-17
relative error = 7.1842226960251354404746934992069e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.357
y[1] (analytic) = 0.90620129412581107777441928088958
y[1] (numeric) = 0.90620129412581114283633726155631
absolute error = 6.506191798066673e-17
relative error = 7.1796319871105765179782702999233e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.358
y[1] (analytic) = 0.90599316598501901581743233805245
y[1] (numeric) = 0.90599316598501908082282120146412
absolute error = 6.500538886341167e-17
relative error = 7.1750418550603682903938375979391e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.359
y[1] (analytic) = 0.90578404596228646800873231348423
y[1] (numeric) = 0.90578404596228653295754520990548
absolute error = 6.494881289642125e-17
relative error = 7.1704522933411747041929916503243e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.36
y[1] (analytic) = 0.90557393387610644507600588277941
y[1] (numeric) = 0.90557393387610650996819602322973
absolute error = 6.489219014045032e-17
relative error = 7.1658632954124276701718902275665e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.361
y[1] (analytic) = 0.90536282954605030058154777705433
y[1] (numeric) = 0.9053628295460503654170684333738
absolute error = 6.483552065631947e-17
relative error = 7.1612748547262599324470895340548e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.362
y[1] (analytic) = 0.90515073279276830189157474826213
y[1] (numeric) = 0.90515073279276836667037925317717
absolute error = 6.477880450491504e-17
relative error = 7.1566869647274498672155426834888e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.363
y[1] (analytic) = 0.90493764343799019997995581723031
y[1] (numeric) = 0.90493764343799026470199756441929
absolute error = 6.472204174718898e-17
relative error = 7.1520996188533494983165991189845e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.364
y[1] (analytic) = 0.9047235613045257980653985467579
y[1] (numeric) = 0.90472356130452586273063099091678
absolute error = 6.466523244415888e-17
relative error = 7.1475128105338310706263626713242e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.365
y[1] (analytic) = 0.90450848621626551908113233571403
y[1] (numeric) = 0.90450848621626558368950899262183
absolute error = 6.460837665690780e-17
relative error = 7.1429265331912113045018017083830e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.366
y[1] (analytic) = 0.90429241799818097197613098503297
y[1] (numeric) = 0.90429241799818103652760543161721
absolute error = 6.455147444658424e-17
relative error = 7.1383407802401908913530047056969e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.367
y[1] (analytic) = 0.90407535647632551684691804280254
y[1] (numeric) = 0.90407535647632558134144391720464
absolute error = 6.449452587440210e-17
relative error = 7.1337555450877926628568444359700e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.368
y[1] (analytic) = 0.90385730147783482889899969329144
y[1] (numeric) = 0.9038573014778348933365306949321
absolute error = 6.443753100164066e-17
relative error = 7.1291708211333017494672288008106e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.369
y[1] (analytic) = 0.90363825283092746123697121375474
y[1] (numeric) = 0.90363825283092752561746110339908
absolute error = 6.438048988964434e-17
relative error = 7.1245866017681811710531983703884e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.37
y[1] (analytic) = 0.9034182103649054064823442831939
y[1] (numeric) = 0.9034182103649054708057468830167
absolute error = 6.432340259982280e-17
relative error = 7.1200028803760248033753100358524e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.371
y[1] (analytic) = 0.90319717391015465721814368892901
y[1] (numeric) = 0.9031971739101547214844128825799
absolute error = 6.426626919365089e-17
relative error = 7.1154196503324935309428670273179e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.372
y[1] (analytic) = 0.9029751432981457652593232398623
y[1] (numeric) = 0.90297514329814582946841297253071
absolute error = 6.420908973266841e-17
relative error = 7.1108369050052301266093413056030e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.373
y[1] (analytic) = 0.90275211836143439974805195967276
y[1] (numeric) = 0.902752118361434463899916238153
absolute error = 6.415186427848024e-17
relative error = 7.1062546377538148523586621052659e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.374
y[1] (analytic) = 0.90252809893366190407292289888343
y[1] (numeric) = 0.90252809893366196816751579163957
absolute error = 6.409459289275614e-17
relative error = 7.1016728419296842903399173294293e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.375
y[1] (analytic) = 0.90230308484955585161113817177896
y[1] (numeric) = 0.90230308484955591564841380900966
absolute error = 6.403727563723070e-17
relative error = 7.0970915108760665363252864680387e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.376
y[1] (analytic) = 0.90207707594493060029272509252496
y[1] (numeric) = 0.90207707594493066427263766622831
absolute error = 6.397991257370335e-17
relative error = 7.0925106379279228056208271491760e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.377
y[1] (analytic) = 0.90185007205668784598583955454857
y[1] (numeric) = 0.90185007205668790990834331858682
absolute error = 6.392250376403825e-17
relative error = 7.0879302164118755024434540136505e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=457.7MB, alloc=4.6MB, time=58.04
x[1] = 3.378
y[1] (analytic) = 0.90162207302281717470221406828029
y[1] (numeric) = 0.90162207302281723856726333844449
absolute error = 6.386504927016420e-17
relative error = 7.0833502396461382552077606203046e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.379
y[1] (analytic) = 0.90139307868239661362180914472991
y[1] (numeric) = 0.90139307868239667742935829880453
absolute error = 6.380754915407462e-17
relative error = 7.0787707009404534667093974337603e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.38
y[1] (analytic) = 0.90116308887559318093572798607285
y[1] (numeric) = 0.90116308887559324468573146390024
absolute error = 6.375000347782739e-17
relative error = 7.0741915935960140879788002772843e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.381
y[1] (analytic) = 0.90093210344366343450645571945475
y[1] (numeric) = 0.90093210344366349819886802299963
absolute error = 6.369241230354488e-17
relative error = 7.0696129109054062149637102413755e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.382
y[1] (analytic) = 0.90070012222895401934448568658285
y[1] (numeric) = 0.90070012222895408297926137999676
absolute error = 6.363477569341391e-17
relative error = 7.0650346461525436775230379364227e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.383
y[1] (analytic) = 0.90046714507490221390039657935838
y[1] (numeric) = 0.90046714507490227747749028904399
absolute error = 6.357709370968561e-17
relative error = 7.0604567926125912734830805150316e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.384
y[1] (analytic) = 0.90023317182603647517144549081546
y[1] (numeric) = 0.90023317182603653869081190549078
absolute error = 6.351936641467532e-17
relative error = 7.0558793435518921772961222166477e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.385
y[1] (analytic) = 0.89999820232797698262174323096655
y[1] (numeric) = 0.89999820232797704608333710172913
absolute error = 6.346159387076258e-17
relative error = 7.0513022922279050849051698043045e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.386
y[1] (analytic) = 0.89976223642743618091507953881175
y[1] (numeric) = 0.89976223642743624431885567920284
absolute error = 6.340377614039109e-17
relative error = 7.0467256318891377743363151383494e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.387
y[1] (analytic) = 0.89952527397221932145946710474682
y[1] (numeric) = 0.89952527397221938480538039081542
absolute error = 6.334591328606860e-17
relative error = 7.0421493557750726273503329192387e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.388
y[1] (analytic) = 0.89928731481122500276247460190174
y[1] (numeric) = 0.89928731481122506605047997226859
absolute error = 6.328800537036685e-17
relative error = 7.0375734571160974398109611497181e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.389
y[1] (analytic) = 0.89904835879444570959642021055724
y[1] (numeric) = 0.89904835879444577282647266647871
absolute error = 6.323005245592147e-17
relative error = 7.0329979291334315184850569917306e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.39
y[1] (analytic) = 0.89880840577296835097249840671811
y[1] (numeric) = 0.89880840577296841414455301215013
absolute error = 6.317205460543202e-17
relative error = 7.0284227650390670805644999419592e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.391
y[1] (analytic) = 0.89856745559897479692291407417003
y[1] (numeric) = 0.89856745559897486003692595583186
absolute error = 6.311401188166183e-17
relative error = 7.0238479580356881451021937994251e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.392
y[1] (analytic) = 0.89832550812574241409009928890706
y[1] (numeric) = 0.89832550812574247714602363634493
absolute error = 6.305592434743787e-17
relative error = 7.0192735013165924759489162058918e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.393
y[1] (analytic) = 0.89808256320764460012208941569067
y[1] (numeric) = 0.89808256320764466311988148134151
absolute error = 6.299779206565084e-17
relative error = 7.0146993880656377364588085526981e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.394
y[1] (analytic) = 0.89783862070015131687313644868642
y[1] (numeric) = 0.89783862070015137981275154794149
absolute error = 6.293961509925507e-17
relative error = 7.0101256114571662351661417745477e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.395
y[1] (analytic) = 0.89759368045982962240863882161863
y[1] (numeric) = 0.89759368045982968529003233288688
absolute error = 6.288139351126825e-17
relative error = 7.0055521646559104486589637718644e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.396
y[1] (analytic) = 0.89734774234434420181346820768534
y[1] (numeric) = 0.89734774234434426463659557245706
absolute error = 6.282312736477172e-17
relative error = 7.0009790408169606340604838016520e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.397
y[1] (analytic) = 0.89710080621245789680277512558775
y[1] (numeric) = 0.89710080621245795956759184849779
absolute error = 6.276481672291004e-17
relative error = 6.9964062330856519668992426508823e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.398
y[1] (analytic) = 0.89685287192403223413435646544107
y[1] (numeric) = 0.8968528719240322968408181143323
absolute error = 6.270646164889123e-17
relative error = 6.9918337345975260344836280955059e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.399
y[1] (analytic) = 0.89660393934002795282166934705568
y[1] (numeric) = 0.89660393934002801546973155304208
absolute error = 6.264806220598640e-17
relative error = 6.9872615384782240659347155157149e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4
y[1] (analytic) = 0.89635400832250553014657702309764
y[1] (numeric) = 0.8963540083225055927361954806276
absolute error = 6.258961845752996e-17
relative error = 6.9826896378434445249875984334456e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.401
y[1] (analytic) = 0.89610307873462570647091384096304
y[1] (numeric) = 0.89610307873462576900204430788243
absolute error = 6.253113046691939e-17
relative error = 6.9781180257988513632358042643298e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.402
y[1] (analytic) = 0.89585115044065000884595757982298
y[1] (numeric) = 0.89585115044065007131855587743819
absolute error = 6.247259829761521e-17
relative error = 6.9735466954400042763428543534855e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.403
y[1] (analytic) = 0.89559822330594127341889878321883
y[1] (numeric) = 0.8955982233059413358329207963597
absolute error = 6.241402201314087e-17
relative error = 6.9689756398522797407541401389603e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.404
y[1] (analytic) = 0.89534429719696416663539801280618
y[1] (numeric) = 0.89534429719696422899079968988901
absolute error = 6.235540167708283e-17
relative error = 6.9644048521108129671735334467985e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.405
memory used=461.6MB, alloc=4.6MB, time=58.52
y[1] (analytic) = 0.89508937198128570523732325536183
y[1] (numeric) = 0.8950893719812857675340606084522
absolute error = 6.229673735309037e-17
relative error = 6.9598343252804094193430921451493e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.406
y[1] (analytic) = 0.89483344752757577505476102297658
y[1] (numeric) = 0.89483344752757583729279012785195
absolute error = 6.223802910487537e-17
relative error = 6.9552640524154526566734374291859e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.407
y[1] (analytic) = 0.89457652370560764859139599545885
y[1] (numeric) = 0.89457652370560771077067299167149
absolute error = 6.217927699621264e-17
relative error = 6.9506940265598733266117980136890e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.408
y[1] (analytic) = 0.89431860038625850140235536436958
y[1] (numeric) = 0.89431860038625856352283645530905
absolute error = 6.212048109093947e-17
relative error = 6.9461242407470307116663775608252e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.409
y[1] (analytic) = 0.8940596774415099272636153497903
y[1] (numeric) = 0.89405967744150998932525680274609
absolute error = 6.206164145295579e-17
relative error = 6.9415546879996621239018936679837e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.41
y[1] (analytic) = 0.89379975474444845213206867390098
y[1] (numeric) = 0.89379975474444851413482682012495
absolute error = 6.200275814622397e-17
relative error = 6.9369853613297917570194558449869e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.411
y[1] (analytic) = 0.89353883216926604689535308970283
y[1] (numeric) = 0.89353883216926610883918432447165
absolute error = 6.194383123476882e-17
relative error = 6.9324162537386615843200015781732e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.412
y[1] (analytic) = 0.89327690959126063891054237876748
y[1] (numeric) = 0.89327690959126070079540316144503
absolute error = 6.188486078267755e-17
relative error = 6.9278473582166574784998790825635e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.413
y[1] (analytic) = 0.89301398688683662233080254872409
y[1] (numeric) = 0.89301398688683668415664940282365
absolute error = 6.182584685409956e-17
relative error = 6.9232786677432159845744092791925e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.414
y[1] (analytic) = 0.89275006393350536721911727930846
y[1] (numeric) = 0.89275006393350542898590679255503
absolute error = 6.176678951324657e-17
relative error = 6.9187101752867688312179727978771e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.415
y[1] (analytic) = 0.89248514060988572744818798519401
y[1] (numeric) = 0.89248514060988578915587680958636
absolute error = 6.170768882439235e-17
relative error = 6.9141418738046423424088362224820e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.416
y[1] (analytic) = 0.89221921679570454738561518449794
y[1] (numeric) = 0.89221921679570460903416003637078
absolute error = 6.164854485187284e-17
relative error = 6.9095737562430001974549924366877e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.417
y[1] (analytic) = 0.89195229237179716736346918381087
y[1] (numeric) = 0.89195229237179722895282684389682
absolute error = 6.158935766008595e-17
relative error = 6.9050058155367500273828041550113e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.418
y[1] (analytic) = 0.89168436722010792793135941382799
y[1] (numeric) = 0.89168436722010798946148672731947
absolute error = 6.153012731349148e-17
relative error = 6.9004380446094631153069095095204e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.419
y[1] (analytic) = 0.89141544122369067289211307416686
y[1] (numeric) = 0.89141544122369073436296695077801
absolute error = 6.147085387661115e-17
relative error = 6.8958704363733061046570156288534e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.42
y[1] (analytic) = 0.89114551426670925111917507173854
y[1] (numeric) = 0.891145514266709312530712485767
absolute error = 6.141153741402846e-17
relative error = 6.8913029837289533188115382757433e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.421
y[1] (analytic) = 0.89087458623443801715484256409221
y[1] (numeric) = 0.89087458623443807850702055448086
absolute error = 6.135217799038865e-17
relative error = 6.8867356795655099567664113535423e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.422
y[1] (analytic) = 0.89060265701326233058844874747955
y[1] (numeric) = 0.8906026570132623918812244178782
absolute error = 6.129277567039865e-17
relative error = 6.8821685167604338350467206745663e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.423
y[1] (analytic) = 0.89032972649067905421361185898098
y[1] (numeric) = 0.89032972649067911544694237780786
absolute error = 6.123333051882688e-17
relative error = 6.8776014881794399466361106149503e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.424
y[1] (analytic) = 0.89005579455529705096366669289988
y[1] (numeric) = 0.89005579455529711213750929340327
absolute error = 6.117384260050339e-17
relative error = 6.8730345866764428510054589566709e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.425
y[1] (analytic) = 0.8897808610968376796243972637636
y[1] (numeric) = 0.88978086109683774073870924408322
absolute error = 6.111431198031962e-17
relative error = 6.8684678050934560562321117780002e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.426
y[1] (analytic) = 0.8895049260061352893231905816666
y[1] (numeric) = 0.88950492600613535037792930489497
absolute error = 6.105473872322837e-17
relative error = 6.8639011362605146277101844433633e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.427
y[1] (analytic) = 0.88922798917513771279373284035353
y[1] (numeric) = 0.88922798917513777378885573459731
absolute error = 6.099512289424378e-17
relative error = 6.8593345729955985805104643022882e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.428
y[1] (analytic) = 0.88895005049690675841537065436487
y[1] (numeric) = 0.88895005049690681935083521280612
absolute error = 6.093546455844125e-17
relative error = 6.8547681081045491810397056919173e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.429
y[1] (analytic) = 0.88867110986561870102626131875396
y[1] (numeric) = 0.88867110986561876190202509971124
absolute error = 6.087576378095728e-17
relative error = 6.8502017343809758902798957532759e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.43
y[1] (analytic) = 0.88839116717656477150943740333013
y[1] (numeric) = 0.88839116717656483232545803031965
absolute error = 6.081602062698952e-17
relative error = 6.8456354446061865694869101936156e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.431
y[1] (analytic) = 0.88811022232615164515091233308838
y[1] (numeric) = 0.88811022232615170590714749488501
absolute error = 6.075623516179663e-17
relative error = 6.8410692315490959584282036744124e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.432
y[1] (analytic) = 0.88782827521190192876895494744716
y[1] (numeric) = 0.88782827521190198946536239814536
absolute error = 6.069640745069820e-17
relative error = 6.8365030879661405350320233371464e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=465.4MB, alloc=4.6MB, time=59.00
NO POLE
x[1] = 3.433
y[1] (analytic) = 0.8875453257324546466136623731338
y[1] (numeric) = 0.88754532573245470725019993220856
absolute error = 6.063653755907476e-17
relative error = 6.8319370066012031488567791260221e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.434
y[1] (analytic) = 0.88726137378756572503596188902916
y[1] (numeric) = 0.88726137378756578561258744139674
absolute error = 6.057662555236758e-17
relative error = 6.8273709801855136365783278167802e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.435
y[1] (analytic) = 0.88697641927810847592517380600702
y[1] (numeric) = 0.88697641927810853644184530208576
absolute error = 6.051667149607874e-17
relative error = 6.8228050014375794803576863661836e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.436
y[1] (analytic) = 0.88669046210607407891426873078039
y[1] (numeric) = 0.88669046210607413937094418655135
absolute error = 6.045667545577096e-17
relative error = 6.8182390630630890575298600629885e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.437
y[1] (analytic) = 0.88640350217457206235195392999192
y[1] (numeric) = 0.8864035021745721227485914270594
absolute error = 6.039663749706748e-17
relative error = 6.8136731577548201345650715999964e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.438
y[1] (analytic) = 0.88611553938783078304072485925963
y[1] (numeric) = 0.8861155393878308433772825449119
absolute error = 6.033655768565227e-17
relative error = 6.8091072781925852137553711448535e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.439
y[1] (analytic) = 0.88582657365119790474001927161125
y[1] (numeric) = 0.88582657365119796501645535888081
absolute error = 6.027643608726956e-17
relative error = 6.8045414170430997970353862385419e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.44
y[1] (analytic) = 0.88553660487114087543361267070477
y[1] (numeric) = 0.88553660487114093564988543842878
absolute error = 6.021627276772401e-17
relative error = 6.7999755669599224513494605350979e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.441
y[1] (analytic) = 0.885245632955247403360395226445
y[1] (numeric) = 0.88524563295524746351646301932572
absolute error = 6.015606779288072e-17
relative error = 6.7954097205833764674737652469300e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.442
y[1] (analytic) = 0.88495365781222593180767162405836
y[1] (numeric) = 0.8849536578122259919034928527232
absolute error = 6.009582122866484e-17
relative error = 6.7908438705404259485306439760517e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.443
y[1] (analytic) = 0.88466067935190611266612667238066
y[1] (numeric) = 0.88466067935190617270165981344247
absolute error = 6.003553314106181e-17
relative error = 6.7862780094446226497478620000231e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.444
y[1] (analytic) = 0.88436669748523927874560085304812
y[1] (numeric) = 0.88436669748523933872080444916527
absolute error = 5.997520359611715e-17
relative error = 6.7817121298960016100979112451269e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.445
y[1] (analytic) = 0.88407171212429891485082134945174
y[1] (numeric) = 0.88407171212429897476565400938816
absolute error = 5.991483265993642e-17
relative error = 6.7771462244809955852446405829244e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.446
y[1] (analytic) = 0.88377572318228112761623545272414
y[1] (numeric) = 0.88377572318228118747065585140924
absolute error = 5.985442039868510e-17
relative error = 6.7725802857723400359096894024024e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.447
y[1] (analytic) = 0.88347873057350511409909460167058
y[1] (numeric) = 0.88347873057350517389306148025911
absolute error = 5.979396687858853e-17
relative error = 6.7680143063289844940856597016532e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.448
y[1] (analytic) = 0.88318073421341362912993867443328
y[1] (numeric) = 0.88318073421341368886341084036523
absolute error = 5.973347216593195e-17
relative error = 6.7634482786960148492220693972450e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.449
y[1] (analytic) = 0.88288173401857345141963151178712
y[1] (numeric) = 0.88288173401857351109256783884743
absolute error = 5.967293632706031e-17
relative error = 6.7588821954045492008022914047434e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.45
y[1] (analytic) = 0.88258172990667584842210001530429
y[1] (numeric) = 0.88258172990667590803445944368242
absolute error = 5.961235942837813e-17
relative error = 6.7543160489716389379137405986073e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.451
y[1] (analytic) = 0.88228072179653703995193052819428
y[1] (numeric) = 0.88228072179653709950367206454393
absolute error = 5.955174153634965e-17
relative error = 6.7497498319002022582812077869574e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.452
y[1] (analytic) = 0.88197870960809866055597757242328
y[1] (numeric) = 0.88197870960809872004706028992182
absolute error = 5.949108271749854e-17
relative error = 6.7451835366789074339676886359714e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.453
y[1] (analytic) = 0.88167569326242822063814138273831
y[1] (numeric) = 0.88167569326242828006852442114634
absolute error = 5.943038303840803e-17
relative error = 6.7406171557821032430403785508152e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.454
y[1] (analytic) = 0.88137167268171956633647204647094
y[1] (numeric) = 0.88137167268171962570611461219155
absolute error = 5.936964256572061e-17
relative error = 6.7360506816697002379623054647403e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.455
y[1] (analytic) = 0.88106664778929333815175942746452
y[1] (numeric) = 0.88106664778929339746062079360261
absolute error = 5.930886136613809e-17
relative error = 6.7314841067870923942017081198553e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.456
y[1] (analytic) = 0.88076061850959742832676942316287
y[1] (numeric) = 0.88076061850959748757480892958448
absolute error = 5.924803950642161e-17
relative error = 6.7269174235650726840112888010987e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.457
y[1] (analytic) = 0.88045358476820743697528847581105
y[1] (numeric) = 0.88045358476820749616246552920244
absolute error = 5.918717705339139e-17
relative error = 6.7223506244197187075852686965119e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.458
y[1] (analytic) = 0.88014554649182712696013963184983
y[1] (numeric) = 0.8801455464918271860864137057766
absolute error = 5.912627407392677e-17
relative error = 6.7177837017523107961367896839076e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.459
y[1] (analytic) = 0.87983650360828887751933481793553
y[1] (numeric) = 0.87983650360828893658466545290156
absolute error = 5.906533063496603e-17
relative error = 6.7132166479492246989380191801815e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=469.2MB, alloc=4.6MB, time=59.48
NO POLE
x[1] = 3.46
y[1] (analytic) = 0.8795264560465541366395293775808
y[1] (numeric) = 0.87952645604655419564387618108724
absolute error = 5.900434680350644e-17
relative error = 6.7086494553818499537976933973106e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.461
y[1] (analytic) = 0.87921540373671387217594628919171
y[1] (numeric) = 0.87921540373671393111926893579591
absolute error = 5.894332264660420e-17
relative error = 6.7040821164064953314252363338288e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.462
y[1] (analytic) = 0.87890334660998902171793886426806
y[1] (numeric) = 0.87890334660998908060019709564229
absolute error = 5.888225823137423e-17
relative error = 6.6995146233642767687324280224352e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.463
y[1] (analytic) = 0.87859028459873094119936210373672
y[1] (numeric) = 0.8785902845987310000205157287269
absolute error = 5.882115362499018e-17
relative error = 6.6949469685810298583061315143398e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.464
y[1] (analytic) = 0.87827621763642185225292427080123
y[1] (numeric) = 0.87827621763642191101293316548558
absolute error = 5.876000889468435e-17
relative error = 6.6903791443672116566803089498969e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.465
y[1] (analytic) = 0.87796114565767528830769162031181
y[1] (numeric) = 0.87796114565767534700651572805943
absolute error = 5.869882410774762e-17
relative error = 6.6858111430178031727645407878852e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.466
y[1] (analytic) = 0.87764506859823653942892060748796
y[1] (numeric) = 0.8776450685982365980665199390173
absolute error = 5.863759933152934e-17
relative error = 6.6812429568122068389870062140903e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.467
y[1] (analytic) = 0.87732798639498309589939328285891
y[1] (numeric) = 0.87732798639498315447572791629629
absolute error = 5.857633463343738e-17
relative error = 6.6766745780141617468739805731996e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.468
y[1] (analytic) = 0.87700989898592509054143296552464
y[1] (numeric) = 0.87700989898592514905646304646254
absolute error = 5.851503008093790e-17
relative error = 6.6721059988716265194996163977754e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.469
y[1] (analytic) = 0.87669080631020573977877867327865
y[1] (numeric) = 0.87669080631020579823246441483395
absolute error = 5.845368574155530e-17
relative error = 6.6675372116166822066204170135535e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.47
y[1] (analytic) = 0.87637070830810178343749817577408
y[1] (numeric) = 0.87637070830810184182979985864633
absolute error = 5.839230168287225e-17
relative error = 6.6629682084654438404443392492169e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.471
y[1] (analytic) = 0.87604960492102392328512092575399
y[1] (numeric) = 0.87604960492102398161599889828354
absolute error = 5.833087797252955e-17
relative error = 6.6583989816179521349941503491886e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.472
y[1] (analytic) = 0.87572749609151726030717351340307
y[1] (numeric) = 0.8757274960915173185765881916291
absolute error = 5.826941467822603e-17
relative error = 6.6538295232580692561472741933216e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.473
y[1] (analytic) = 0.87540438176326173072030168011131
y[1] (numeric) = 0.87540438176326178892821354782977
absolute error = 5.820791186771846e-17
relative error = 6.6492598255533752435483408671991e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.474
y[1] (analytic) = 0.87508026188107254072116432036739
y[1] (numeric) = 0.87508026188107259886753392918908
absolute error = 5.814636960882169e-17
relative error = 6.6446898806550902244005816173055e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.475
y[1] (analytic) = 0.87475513639090059997028629412154
y[1] (numeric) = 0.87475513639090065805507426352974
absolute error = 5.808478796940820e-17
relative error = 6.6401196806979287435023117127462e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.476
y[1] (analytic) = 0.87442900523983295381005826676775
y[1] (numeric) = 0.87442900523983301183322528417609
absolute error = 5.802316701740834e-17
relative error = 6.6355492178000324119429187561371e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.477
y[1] (analytic) = 0.87410186837609321421607318990017
y[1] (numeric) = 0.87410186837609327217758001071033
absolute error = 5.796150682081016e-17
relative error = 6.6309784840628552329454309371342e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.478
y[1] (analytic) = 0.87377372574904198948099043318791
y[1] (numeric) = 0.87377372574904204738079788084723
absolute error = 5.789980744765932e-17
relative error = 6.6264074715710575577020417865218e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.479
y[1] (analytic) = 0.8734445773091773126301199760911
y[1] (numeric) = 0.87344457730917737046818894215004
absolute error = 5.783806896605894e-17
relative error = 6.6218361723923926629895375451868e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.48
y[1] (analytic) = 0.87311442300813506856792046770421
y[1] (numeric) = 0.87311442300813512634421191187389
absolute error = 5.777629144416968e-17
relative error = 6.6172645785776191431912695944593e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.481
y[1] (analytic) = 0.87278326279868941995460636376092
y[1] (numeric) = 0.8727832627986894776690813139705
absolute error = 5.771447495020958e-17
relative error = 6.6126926821603853321229843409680e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.482
y[1] (analytic) = 0.87245109663475323181206075176388
y[1] (numeric) = 0.87245109663475328946468030421791
absolute error = 5.765261955245403e-17
relative error = 6.6081204751571280875444764561886e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.483
y[1] (analytic) = 0.87211792447137849485825187831426
y[1] (numeric) = 0.87211792447137855244897719754982
absolute error = 5.759072531923556e-17
relative error = 6.6035479495669504286083627419356e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.484
y[1] (analytic) = 0.87178374626475674756935279700547
y[1] (numeric) = 0.8717837462647568050981451159494
absolute error = 5.752879231894393e-17
relative error = 6.5989750973715330268715055124973e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.485
y[1] (analytic) = 0.87144856197221949696876496071425
y[1] (numeric) = 0.87144856197221955443558558074028
absolute error = 5.746682062002603e-17
relative error = 6.5944019105350234111291130367595e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.486
y[1] (analytic) = 0.87111237155223863814224798876635
y[1] (numeric) = 0.87111237155223869554705827975203
absolute error = 5.740481029098568e-17
relative error = 6.5898283810039131556349623839157e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=473.0MB, alloc=4.6MB, time=59.98
NO POLE
x[1] = 3.487
y[1] (analytic) = 0.87077517496442687247835924727259
y[1] (numeric) = 0.87077517496442692982112064765629
absolute error = 5.734276140038370e-17
relative error = 6.5852545007069455076232586407566e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.488
y[1] (analytic) = 0.87043697216953812463340828992436
y[1] (numeric) = 0.87043697216953818191408230676211
absolute error = 5.728067401683775e-17
relative error = 6.5806802615549960918294716102125e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.489
y[1] (analytic) = 0.87009776312946795822013261670067
y[1] (numeric) = 0.87009776312946801543868082572301
absolute error = 5.721854820902234e-17
relative error = 6.5761056554409725884448577117049e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.49
y[1] (analytic) = 0.86975754780725399021930261927372
y[1] (numeric) = 0.86975754780725404737568666494231
absolute error = 5.715638404566859e-17
relative error = 6.5715306742396851445446210784352e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.491
y[1] (analytic) = 0.86941632616707630411346499440161
y[1] (numeric) = 0.86941632616707636120764658996595
absolute error = 5.709418159556434e-17
relative error = 6.5669553098077564482715103220039e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.492
y[1] (analytic) = 0.86907409817425786174203532026773
y[1] (numeric) = 0.86907409817425791877397624782166
absolute error = 5.703194092755393e-17
relative error = 6.5623795539834933280719925555575e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.493
y[1] (analytic) = 0.86873086379526491387695190556032
y[1] (numeric) = 0.86873086379526497084661401609862
absolute error = 5.696966211053830e-17
relative error = 6.5578033985867945904908990097244e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.494
y[1] (analytic) = 0.86838662299770740951810443708581
y[1] (numeric) = 0.86838662299770746642544965056055
absolute error = 5.690734521347474e-17
relative error = 6.5532268354190180396970304565899e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.495
y[1] (analytic) = 0.86804137575033940390775236887014
y[1] (numeric) = 0.86804137575033946075274267424695
absolute error = 5.684499030537681e-17
relative error = 6.5486498562628664681463283282996e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.496
y[1] (analytic) = 0.86769512202305946526314941402479
y[1] (numeric) = 0.86769512202305952204574686933922
absolute error = 5.678259745531443e-17
relative error = 6.5440724528822926684532263531387e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.497
y[1] (analytic) = 0.86734786178691108022659192013642
y[1] (numeric) = 0.86734786178691113694675865255008
absolute error = 5.672016673241366e-17
relative error = 6.5394946170223681762016188707874e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.498
y[1] (analytic) = 0.86699959501408305803211032957709
y[1] (numeric) = 0.86699959501408311468980853543381
absolute error = 5.665769820585672e-17
relative error = 6.5349163404091790768864562963015e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.499
y[1] (analytic) = 0.86665032167790993338802434792855
y[1] (numeric) = 0.86665032167790998998321629281034
absolute error = 5.659519194488179e-17
relative error = 6.5303376147496958725337203960532e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5
y[1] (analytic) = 0.86630004175287236807458386666302
y[1] (numeric) = 0.8663000417528724246072318854461
absolute error = 5.653264801878308e-17
relative error = 6.5257584317316738947487733496591e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.501
y[1] (analytic) = 0.865948755214597551255919110327
y[1] (numeric) = 0.8659487552145976077259856072376
absolute error = 5.647006649691060e-17
relative error = 6.5211787830235185243278030659464e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.502
y[1] (analytic) = 0.86559646203985959850552490372778
y[1] (numeric) = 0.86559646203985965491297235239805
absolute error = 5.640744744867027e-17
relative error = 6.5165986602741890525192896920862e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.503
y[1] (analytic) = 0.86524316220657994954450538102823
y[1] (numeric) = 0.8652431622065800058892963245519
absolute error = 5.634479094352367e-17
relative error = 6.5120180551130603893080358411209e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.504
y[1] (analytic) = 0.86488885569382776469180688620654
y[1] (numeric) = 0.86488885569382782097390393719458
absolute error = 5.628209705098804e-17
relative error = 6.5074369591498130251201308263685e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.505
y[1] (analytic) = 0.86453354248182032002566824303813
y[1] (numeric) = 0.86453354248182037624503408367438
absolute error = 5.621936584063625e-17
relative error = 6.5028553639743189367767298335498e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.506
y[1] (analytic) = 0.86417722255192340125551900260149
y[1] (numeric) = 0.86417722255192345741211638469806
absolute error = 5.615659738209657e-17
relative error = 6.4982732611565037517440015952487e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.507
y[1] (analytic) = 0.86381989588665169630355770729695
y[1] (numeric) = 0.86381989588665175239734945234978
absolute error = 5.609379174505283e-17
relative error = 6.4936906422462534007529663684357e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.508
y[1] (analytic) = 0.86346156246966918659524364249953
y[1] (numeric) = 0.86346156246966924262619264174362
absolute error = 5.603094899924409e-17
relative error = 6.4891074987732634696274590663432e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.509
y[1] (analytic) = 0.86310222228578953705793698023581
y[1] (numeric) = 0.86310222228578959302600619470048
absolute error = 5.596806921446467e-17
relative error = 6.4845238222469295633430613180514e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.51
y[1] (analytic) = 0.86274187532097648482692365368564
y[1] (numeric) = 0.86274187532097654073207611424989
absolute error = 5.590515246056425e-17
relative error = 6.4799396041562451851165347696937e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.511
y[1] (analytic) = 0.86238052156234422665806273685694
y[1] (numeric) = 0.86238052156234428250026154430442
absolute error = 5.584219880744748e-17
relative error = 6.4753548359696422136952521268330e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.512
y[1] (analytic) = 0.86201816099815780504629554046281
y[1] (numeric) = 0.86201816099815786082550386553688
absolute error = 5.577920832507407e-17
relative error = 6.4707695091348863344148418356758e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.513
y[1] (analytic) = 0.861654793617833493049257072849
y[1] (numeric) = 0.86165479361783354876543815630773
absolute error = 5.571618108345873e-17
relative error = 6.4661836150789544675554271687772e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=476.8MB, alloc=4.6MB, time=60.48
x[1] = 3.514
y[1] (analytic) = 0.86129041941193917781523195376826
y[1] (numeric) = 0.86129041941193923346834910643928
absolute error = 5.565311715267102e-17
relative error = 6.4615971452079011047605851283204e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.515
y[1] (analytic) = 0.86092503837219474281469830887878
y[1] (numeric) = 0.86092503837219479840471491171414
absolute error = 5.559001660283536e-17
relative error = 6.4570100909067425564443314595165e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.516
y[1] (analytic) = 0.86055865049147244877470461405411
y[1] (numeric) = 0.86055865049147250430158411818497
absolute error = 5.552687950413086e-17
relative error = 6.4524224435393196514204666327224e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.517
y[1] (analytic) = 0.86019125576379731331532590092925
y[1] (numeric) = 0.86019125576379736877903182772056
absolute error = 5.546370592679131e-17
relative error = 6.4478341944481783479393692902543e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.518
y[1] (analytic) = 0.85982285418434748928744717857212
y[1] (numeric) = 0.85982285418434754468794311967717
absolute error = 5.540049594110505e-17
relative error = 6.4432453349544357419907486538751e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.519
y[1] (analytic) = 0.85945344574945464181112337075777
y[1] (numeric) = 0.8594534457494546971483729881727
absolute error = 5.533724961741493e-17
relative error = 6.4386558563576558604967616577670e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.52
y[1] (analytic) = 0.85908303045660432401376651403474
y[1] (numeric) = 0.85908303045660437928773354015302
absolute error = 5.527396702611828e-17
relative error = 6.4340657499357259537421780418540e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.521
y[1] (analytic) = 0.85871160830443635146741240860629
y[1] (numeric) = 0.85871160830443640667806064627298
absolute error = 5.521064823766669e-17
relative error = 6.4294750069447099951568797603249e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.522
y[1] (analytic) = 0.85833917929274517532432036200157
y[1] (numeric) = 0.85833917929274523047161368456762
absolute error = 5.514729332256605e-17
relative error = 6.4248836186187317433742652640810e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.523
y[1] (analytic) = 0.857965743422480254150161114584
y[1] (numeric) = 0.85796574342248030923406346596048
absolute error = 5.508390235137648e-17
relative error = 6.4202915761698443281337698841872e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.524
y[1] (analytic) = 0.85759130069574642445404948613183
y[1] (numeric) = 0.85759130069574647947452488084401
absolute error = 5.502047539471218e-17
relative error = 6.4156988707878898145018994754220e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.525
y[1] (analytic) = 0.85721585111580426991467973402871
y[1] (numeric) = 0.85721585111580432487169225727004
absolute error = 5.495701252324133e-17
relative error = 6.4111054936403638772225471184751e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.526
y[1] (analytic) = 0.85683939468707048930182306601889
y[1] (numeric) = 0.85683939468707054419533687370504
absolute error = 5.489351380768615e-17
relative error = 6.4065114358722984357060208277089e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.527
y[1] (analytic) = 0.85646193141511826309244820401057
y[1] (numeric) = 0.8564619314151183179224275228333
absolute error = 5.482997931882273e-17
relative error = 6.4019166886061167659339562832985e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.528
y[1] (analytic) = 0.85608346130667761878072735004907
y[1] (numeric) = 0.85608346130667767354713647752999
absolute error = 5.476640912748092e-17
relative error = 6.3973212429414948767937234760004e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.529
y[1] (analytic) = 0.85570398436963579488119136132917
y[1] (numeric) = 0.85570398436963584958399466587349
absolute error = 5.470280330454432e-17
relative error = 6.3927250899552338416101865313741e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.53
y[1] (analytic) = 0.85532350061303760362429939797077
y[1] (numeric) = 0.85532350061303765826346131892095
absolute error = 5.463916192095018e-17
relative error = 6.3881282207011209021342512632923e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.531
y[1] (analytic) = 0.85494201004708579234368976524175
y[1] (numeric) = 0.85494201004708584691917481293102
absolute error = 5.457548504768927e-17
relative error = 6.3835306262097863251739168957119e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.532
y[1] (analytic) = 0.85455951268314140355438013097564
y[1] (numeric) = 0.85455951268314145806615288678154
absolute error = 5.451177275580590e-17
relative error = 6.3789322974885770590021666845283e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.533
y[1] (analytic) = 0.85417600853372413372118675909846
y[1] (numeric) = 0.85417600853372418816921187549625
absolute error = 5.444802511639779e-17
relative error = 6.3743332255214121176281108146693e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.534
y[1] (analytic) = 0.85379149761251269071663386144511
y[1] (numeric) = 0.85379149761251274510087606206107
absolute error = 5.438424220061596e-17
relative error = 6.3697334012686395437846923611012e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.535
y[1] (analytic) = 0.85340597993434514996762563241187
y[1] (numeric) = 0.85340597993434520428804971207658
absolute error = 5.432042407966471e-17
relative error = 6.3651328156669031548721457589497e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.536
y[1] (analytic) = 0.85301945551521930929015499445485
y[1] (numeric) = 0.8530194555152193635467258192563
absolute error = 5.425657082480145e-17
relative error = 6.3605314596289909643991061242050e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.537
y[1] (analytic) = 0.85263192437229304241132454700274
y[1] (numeric) = 0.85263192437229309660400705433954
absolute error = 5.419268250733680e-17
relative error = 6.3559293240437144769639332040750e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.538
y[1] (analytic) = 0.85224338652388465117795667700634
y[1] (numeric) = 0.85224338652388470530671587564063
absolute error = 5.412875919863429e-17
relative error = 6.3513263997757403359140165332610e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.539
y[1] (analytic) = 0.8518538419894732164510712560917
y[1] (numeric) = 0.85185384198947327051587222620215
absolute error = 5.406480097011045e-17
relative error = 6.3467226776654669074942809544951e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.54
y[1] (analytic) = 0.85146329078969894768551081712189
y[1] (numeric) = 0.85146329078969900168631871035653
absolute error = 5.400080789323464e-17
relative error = 6.3421181485288696028334603612336e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.541
memory used=480.6MB, alloc=4.6MB, time=60.96
y[1] (analytic) = 0.85107173294636353119399457189723
y[1] (numeric) = 0.85107173294636358513077461142623
absolute error = 5.393678003952900e-17
relative error = 6.3375128031573594840262539079595e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.542
y[1] (analytic) = 0.85067916848243047709488410173812
y[1] (numeric) = 0.85067916848243053096760158230648
absolute error = 5.387271748056836e-17
relative error = 6.3329066323176363853001357450994e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.543
y[1] (analytic) = 0.85028559742202546494294502379425
y[1] (numeric) = 0.85028559742202551875156531177448
absolute error = 5.380862028798023e-17
relative error = 6.3282996267515506413098884771034e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.544
y[1] (analytic) = 0.84989101979043668804239040810823
y[1] (numeric) = 0.84989101979043674178687894155285
absolute error = 5.374448853344462e-17
relative error = 6.3236917771759440317702062116614e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.545
y[1] (analytic) = 0.84949543561411519644149319372852
y[1] (numeric) = 0.84949543561411525012181548242252
absolute error = 5.368032228869400e-17
relative error = 6.3190830742825063639181108454695e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.546
y[1] (analytic) = 0.84909884492067523860805632651502
y[1] (numeric) = 0.84909884492067529222417795202819
absolute error = 5.361612162551317e-17
relative error = 6.3144735087376206528656402931928e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.547
y[1] (analytic) = 0.84870124773889460178503081670806
y[1] (numeric) = 0.84870124773889465533691743244745
absolute error = 5.355188661573939e-17
relative error = 6.3098630711822380987979491228619e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.548
y[1] (analytic) = 0.84830264409871495102557339083828
y[1] (numeric) = 0.84830264409871500451319072210026
absolute error = 5.348761733126198e-17
relative error = 6.3052517522316898284647311915514e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.549
y[1] (analytic) = 0.84790303403124216690683689013511
y[1] (numeric) = 0.84790303403124222033015073415762
absolute error = 5.342331384402251e-17
relative error = 6.3006395424755672802488897657671e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.55
y[1] (analytic) = 0.84750241756874668192178804625017
y[1] (numeric) = 0.84750241756874673528076427226474
absolute error = 5.335897622601457e-17
relative error = 6.2960264324775522819972319067465e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.551
y[1] (analytic) = 0.84710079474466381554834874484026
y[1] (numeric) = 0.84710079474466386884295329412398
absolute error = 5.329460454928372e-17
relative error = 6.2914124127752674819409111301514e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.552
y[1] (analytic) = 0.84669816559359410799515836835612
y[1] (numeric) = 0.84669816559359416122535725428358
absolute error = 5.323019888592746e-17
relative error = 6.2867974738801282997299401264020e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.553
y[1] (analytic) = 0.84629453015130365262325629125431
y[1] (numeric) = 0.84629453015130370578901559934942
absolute error = 5.316575930809511e-17
relative error = 6.2821816062771834015370828618723e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.554
y[1] (analytic) = 0.84588988845472442704298508378784
y[1] (numeric) = 0.84588988845472448014427097177561
absolute error = 5.310128588798777e-17
relative error = 6.2775648004249637547405547791582e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.555
y[1] (analytic) = 0.84548424054195462288541646453721
y[1] (numeric) = 0.84548424054195467592219516239536
absolute error = 5.303677869785815e-17
relative error = 6.2729470467553154496357449461562e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.556
y[1] (analytic) = 0.84507758645225897424760352691322
y[1] (numeric) = 0.84507758645225902721984133692374
absolute error = 5.297223781001052e-17
relative error = 6.2683283356732458132681205030550e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.557
y[1] (analytic) = 0.84466992622606908481096425099654
y[1] (numeric) = 0.84466992622606913771862754779731
absolute error = 5.290766329680077e-17
relative error = 6.2637086575567816726833777308326e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.558
y[1] (analytic) = 0.84426125990498375363210279927442
y[1] (numeric) = 0.84426125990498380647515802991058
absolute error = 5.284305523063616e-17
relative error = 6.2590880027567900577462109271796e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.559
y[1] (analytic) = 0.84385158753176929960537658308882
y[1] (numeric) = 0.84385158753176935238379026706403
absolute error = 5.277841368397521e-17
relative error = 6.2544663615968145397210397573763e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.56
y[1] (analytic) = 0.84344090915035988459651857592372
y[1] (numeric) = 0.84344090915035993731025730525157
absolute error = 5.271373872932785e-17
relative error = 6.2498437243729414823261894542157e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.561
y[1] (analytic) = 0.8430292248058578352466258400298
y[1] (numeric) = 0.84302922480585788789565627928488
absolute error = 5.264903043925508e-17
relative error = 6.2452200813536073390044488797164e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.562
y[1] (analytic) = 0.84261653454453396344582672430752
y[1] (numeric) = 0.8426165345445340160301156106766
absolute error = 5.258428888636908e-17
relative error = 6.2405954227794583486917630972183e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.563
y[1] (analytic) = 0.8422028384138278854759406838493
y[1] (numeric) = 0.84220283841382793799545482718237
absolute error = 5.251951414333307e-17
relative error = 6.2359697388631796905370869129178e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.564
y[1] (analytic) = 0.84178813646234833982144616506999
y[1] (numeric) = 0.84178813646234839227615244793104
absolute error = 5.245470628286105e-17
relative error = 6.2313430197893094325369012174673e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.565
y[1] (analytic) = 0.84137242873987350364807349493371
y[1] (numeric) = 0.84137242873987355603793887265184
absolute error = 5.238986537771813e-17
relative error = 6.2267152557141216036329193388120e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.566
y[1] (analytic) = 0.84095571529735130794834120841517
y[1] (numeric) = 0.84095571529735136027333270913517
absolute error = 5.232499150072000e-17
relative error = 6.2220864367654062019902827381898e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.567
y[1] (analytic) = 0.84053799618689975135335574500478
y[1] (numeric) = 0.84053799618689980361344046973795
absolute error = 5.226008472473317e-17
relative error = 6.2174565530423397018997989769904e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.568
y[1] (analytic) = 0.84011927146180721261019594278928
y[1] (numeric) = 0.84011927146180726480534106546398
absolute error = 5.219514512267470e-17
relative error = 6.2128255946152940106969976757837e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=484.4MB, alloc=4.6MB, time=61.46
NO POLE
x[1] = 3.569
y[1] (analytic) = 0.83969954117653276172420525740017
y[1] (numeric) = 0.8396995411765328138543780249124
absolute error = 5.213017276751223e-17
relative error = 6.2081935515256801206596938188923e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.57
y[1] (analytic) = 0.839278805386706469765516132928
y[1] (numeric) = 0.83927880538670652183068386519186
absolute error = 5.206516773226386e-17
relative error = 6.2035604137857729558746562644955e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.571
y[1] (analytic) = 0.83885706414912971733913245274429
y[1] (numeric) = 0.83885706414912976933926254274234
absolute error = 5.200013008999805e-17
relative error = 6.1989261713785376101406569897413e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.572
y[1] (analytic) = 0.83843431752177550171789750005583
y[1] (numeric) = 0.83843431752177555365295741388935
absolute error = 5.193505991383352e-17
relative error = 6.1942908142574545915255670496939e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.573
y[1] (analytic) = 0.83801056556378874263767636093525
y[1] (numeric) = 0.83801056556378879450763363787459
absolute error = 5.186995727693934e-17
relative error = 6.1896543323463667389498791556155e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.574
y[1] (analytic) = 0.83758580833548658675408320652716
y[1] (numeric) = 0.83758580833548663855890545906168
absolute error = 5.180482225253452e-17
relative error = 6.1850167155392655042297247588518e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.575
y[1] (analytic) = 0.83716004589835871076008539611492
y[1] (numeric) = 0.83716004589835876249974031000321
absolute error = 5.173965491388829e-17
relative error = 6.1803779537001585276371746017074e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.576
y[1] (analytic) = 0.83673327831506762316381784875514
y[1] (numeric) = 0.83673327831506767483827318307488
absolute error = 5.167445533431974e-17
relative error = 6.1757380366628598408706409522215e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.577
y[1] (analytic) = 0.8363055056494489647259426382338
y[1] (numeric) = 0.83630550564944901633516622543176
absolute error = 5.160922358719796e-17
relative error = 6.1710969542308387314171320267456e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.578
y[1] (analytic) = 0.83587672796651180755589027417783
y[1] (numeric) = 0.83587672796651185909985002011956
absolute error = 5.154395974594173e-17
relative error = 6.1664546961770138210660412228160e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.579
y[1] (analytic) = 0.83544694533243895286632064125837
y[1] (numeric) = 0.83544694533243900434498452527801
absolute error = 5.147866388401964e-17
relative error = 6.1618112522435974908547023606313e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.58
y[1] (analytic) = 0.83501615781458722738514307855304
y[1] (numeric) = 0.83501615781458727879847915350292
absolute error = 5.141333607494988e-17
relative error = 6.1571666121418998134031976537237e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.581
y[1] (analytic) = 0.83458436548148777842443659228564
y[1] (numeric) = 0.83458436548148782977241298458586
absolute error = 5.134797639230022e-17
relative error = 6.1525207655521541490704530607316e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.582
y[1] (analytic) = 0.83415156840284636760561270733688
y[1] (numeric) = 0.8341515684028464188881976170248
absolute error = 5.128258490968792e-17
relative error = 6.1478737021233333108132988041097e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.583
y[1] (analytic) = 0.83371776664954366324016497611339
y[1] (numeric) = 0.83371776664954371445732667689304
absolute error = 5.121716170077965e-17
relative error = 6.1432254114729658551162264050738e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.584
y[1] (analytic) = 0.83328296029363553136535067757478
y[1] (numeric) = 0.83328296029363558251705751686612
absolute error = 5.115170683929134e-17
relative error = 6.1385758831869428947807539380834e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.585
y[1] (analytic) = 0.83284714940835332543415175444715
y[1] (numeric) = 0.83284714940835337652037215343539
absolute error = 5.108622039898824e-17
relative error = 6.1339251068193490143847323284377e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.586
y[1] (analytic) = 0.83241033406810417465886355289584
y[1] (numeric) = 0.8324103340681042256795660065805
absolute error = 5.102070245368466e-17
relative error = 6.1292730718922537021026228775821e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.587
y[1] (analytic) = 0.83197251434847127100766144618621
y[1] (numeric) = 0.83197251434847132196281452343027
absolute error = 5.095515307724406e-17
relative error = 6.1246197678955436802360413720944e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.588
y[1] (analytic) = 0.83153369032621415485349694213077
y[1] (numeric) = 0.83153369032621420574306928570962
absolute error = 5.088957234357885e-17
relative error = 6.1199651842867193146137977820385e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.589
y[1] (analytic) = 0.83109386207926899927467639339823
y[1] (numeric) = 0.83109386207926905009863672004863
absolute error = 5.082396032665040e-17
relative error = 6.1153093104907151277965878023837e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.59
y[1] (analytic) = 0.8306530296867488930064769500473
y[1] (numeric) = 0.83065302968674894376479405051609
absolute error = 5.075831710046879e-17
relative error = 6.1106521358996879190616005974961e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.591
y[1] (analytic) = 0.83021119322894412204315591493974
y[1] (numeric) = 0.83021119322894417273579865403273
absolute error = 5.069264273909299e-17
relative error = 6.1059936498728554779058175723746e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.592
y[1] (analytic) = 0.8297683527873224498897111849863
y[1] (numeric) = 0.82976835278732250051664850161677
absolute error = 5.062693731663047e-17
relative error = 6.1013338417362655597272044729335e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.593
y[1] (analytic) = 0.82932450844452939646275198447757
y[1] (numeric) = 0.82932450844452944702395289171502
absolute error = 5.056120090723745e-17
relative error = 6.0966727007826407607987349920687e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.594
y[1] (analytic) = 0.82887966028438851563984062105617
y[1] (numeric) = 0.82887966028438856613527420617464
absolute error = 5.049543358511847e-17
relative error = 6.0920102162711403213005684883246e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.595
y[1] (analytic) = 0.82843380839190167145666752018551
y[1] (numeric) = 0.82843380839190172188630294471213
absolute error = 5.042963542452662e-17
relative error = 6.0873463774272002911192032741966e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=488.3MB, alloc=4.7MB, time=61.95
NO POLE
x[1] = 3.596
y[1] (analytic) = 0.82798695285324931295142332027234
y[1] (numeric) = 0.82798695285324936331522982003562
absolute error = 5.036380649976328e-17
relative error = 6.0826811734423134579272798155649e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.597
y[1] (analytic) = 0.82753909375579074765573333789418
y[1] (numeric) = 0.82753909375579079795368022307221
absolute error = 5.029794688517803e-17
relative error = 6.0780145934738285604302647611771e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.598
y[1] (analytic) = 0.82709023118806441373152124087371
y[1] (numeric) = 0.82709023118806446396357789604235
absolute error = 5.023205665516864e-17
relative error = 6.0733466266447579735369179709250e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.599
y[1] (analytic) = 0.82664036523978815075317029622526
y[1] (numeric) = 0.82664036523978820091930618040627
absolute error = 5.016613588418101e-17
relative error = 6.0686772620435781669296511074954e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6
y[1] (analytic) = 0.82618949600185946913435209027272
y[1] (numeric) = 0.8261894960018595192345367369817
absolute error = 5.010018464670898e-17
relative error = 6.0640064887240132221478968072845e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.601
y[1] (analytic) = 0.82573762356635581819889414950144
y[1] (numeric) = 0.82573762356635586823309716679574
absolute error = 5.003420301729430e-17
relative error = 6.0593342957048364589480105588542e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.602
y[1] (analytic) = 0.82528474802653485289505942295842
y[1] (numeric) = 0.82528474802653490286325049348503
absolute error = 4.996819107052661e-17
relative error = 6.0546606719696720600727533572876e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.603
y[1] (analytic) = 0.8248308694768346991526121202525
y[1] (numeric) = 0.82483086947683474905476100129575
absolute error = 4.990214888104325e-17
relative error = 6.0499856064667748673489350478309e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.604
y[1] (analytic) = 0.82437598801287421788204593342738
y[1] (numeric) = 0.82437598801287426771812245695656
absolute error = 4.983607652352918e-17
relative error = 6.0453090881088222254665848001106e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.605
y[1] (analytic) = 0.82392010373145326761535220618481
y[1] (numeric) = 0.82392010373145331738532627890191
absolute error = 4.976997407271710e-17
relative error = 6.0406311057727288385189446626166e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.606
y[1] (analytic) = 0.82346321673055296578770715012107
y[1] (numeric) = 0.82346321673055301549154875350809
absolute error = 4.970384160338702e-17
relative error = 6.0359516482993936452696127395636e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.607
y[1] (analytic) = 0.82300532710933594865945874480236
y[1] (numeric) = 0.82300532710933599829713793516883
absolute error = 4.963767919036647e-17
relative error = 6.0312707044935230363365541018105e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.608
y[1] (analytic) = 0.82254643496814662987779549664847
y[1] (numeric) = 0.8225464349681466794492824051788
absolute error = 4.957148690853033e-17
relative error = 6.0265882631234067004611155537856e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.609
y[1] (analytic) = 0.82208654040851145767748077071023
y[1] (numeric) = 0.82208654040851150718274560351088
absolute error = 4.950526483280065e-17
relative error = 6.0219043129206909179348201621292e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.61
y[1] (analytic) = 0.82162564353313917072003794951773
y[1] (numeric) = 0.82162564353313922015905098766447
absolute error = 4.943901303814674e-17
relative error = 6.0172188425801833648780293304334e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.611
y[1] (analytic) = 0.82116374444592105257077321424103
y[1] (numeric) = 0.82116374444592110194350481382587
absolute error = 4.937273159958484e-17
relative error = 6.0125318407596055202276296587666e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.612
y[1] (analytic) = 0.82070084325193118481302428543766
y[1] (numeric) = 0.820700843251931234119444877616
absolute error = 4.930642059217834e-17
relative error = 6.0078432960794106559090362876820e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.613
y[1] (analytic) = 0.82023694005742669879902500366645
y[1] (numeric) = 0.82023694005742674803910509470393
absolute error = 4.924008009103748e-17
relative error = 6.0031531971225372140694371568693e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.614
y[1] (analytic) = 0.81977203496984802603677717421566
y[1] (numeric) = 0.81977203496984807521048734553499
absolute error = 4.917371017131933e-17
relative error = 5.9984615324341948990067092694880e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.615
y[1] (analytic) = 0.81930612809781914721232264513003
y[1] (numeric) = 0.81930612809781919631963355335776
absolute error = 4.910731090822773e-17
relative error = 5.9937682905216445509521586383748e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.616
y[1] (analytic) = 0.81883921955114783984681013362068
y[1] (numeric) = 0.8188392195511478888876925106338
absolute error = 4.904088237701312e-17
relative error = 5.9890734598539632234171563502324e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.617
y[1] (analytic) = 0.81837130944082592458775286280252
y[1] (numeric) = 0.81837130944082597356217751577508
absolute error = 4.897442465297256e-17
relative error = 5.9843770288618310581196999474346e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.618
y[1] (analytic) = 0.81790239787902951013387461852604
y[1] (numeric) = 0.81790239787902955904181242997569
absolute error = 4.890793781144965e-17
relative error = 5.9796789859373045830964926472142e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.619
y[1] (analytic) = 0.81743248497911923679294338485012
y[1] (numeric) = 0.81743248497911928563436531268441
absolute error = 4.884142192783429e-17
relative error = 5.9749793194335690345559886119857e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.62
y[1] (analytic) = 0.81696157085564051867199326643866
y[1] (numeric) = 0.81696157085564056744687034400142
absolute error = 4.877487707756276e-17
relative error = 5.9702780176647283670263119513331e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.621
y[1] (analytic) = 0.81648965562432378449933695685667
y[1] (numeric) = 0.81648965562432383320764029297429
absolute error = 4.870830333611762e-17
relative error = 5.9655750689055718608779930424537e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.622
y[1] (analytic) = 0.81601673940208471707777256338594
y[1] (numeric) = 0.81601673940208476571947334241341
absolute error = 4.864170077902747e-17
relative error = 5.9608704613913221294768300574279e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=492.1MB, alloc=4.7MB, time=62.43
NO POLE
x[1] = 3.623
y[1] (analytic) = 0.81554282230702449136839015157654
y[1] (numeric) = 0.8155428223070245399434596334437
absolute error = 4.857506948186716e-17
relative error = 5.9561641833174367894937355625134e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.624
y[1] (analytic) = 0.81506790445843001120438492629849
y[1] (numeric) = 0.81506790445843005971279444655584
absolute error = 4.850840952025735e-17
relative error = 5.9514562228393290494252611266676e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.625
y[1] (analytic) = 0.81459198597677414463428552055021
y[1] (numeric) = 0.81459198597677419307600649041491
absolute error = 4.844172096986470e-17
relative error = 5.9467465680721640142511824766387e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.626
y[1] (analytic) = 0.81411506698371595789400741872333
y[1] (numeric) = 0.814115066983716006269011325125
absolute error = 4.837500390640167e-17
relative error = 5.9420352070906057208588104548620e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.627
y[1] (analytic) = 0.81363714760210094800714309740772
y[1] (numeric) = 0.81363714760210099631540150303414
absolute error = 4.830825840562642e-17
relative error = 5.9373221279285749205725693024847e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.628
y[1] (analytic) = 0.81315822795596127401290202414912
y[1] (numeric) = 0.81315822795596132225438656749191
absolute error = 4.824148454334279e-17
relative error = 5.9326073185790151877943653007143e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.629
y[1] (analytic) = 0.81267830817051598682111521284167
y[1] (numeric) = 0.81267830817051603499579760824186
absolute error = 4.817468239540019e-17
relative error = 5.9278907669936464652115469389480e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.63
y[1] (analytic) = 0.81219738837217125769372059364597
y[1] (numeric) = 0.81219738837217130580157263133944
absolute error = 4.810785203769347e-17
relative error = 5.9231724610827146068364797644876e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.631
y[1] (analytic) = 0.81171546868852060535214701547002
y[1] (numeric) = 0.81171546868852065339314056163288
absolute error = 4.804099354616286e-17
relative error = 5.9184523887147479842952323788207e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.632
y[1] (analytic) = 0.81123254924834512171001626013254
y[1] (numeric) = 0.81123254924834516968412325692655
absolute error = 4.797410699679401e-17
relative error = 5.9137305377163248781954376372395e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.633
y[1] (analytic) = 0.81074863018161369623058400934535
y[1] (numeric) = 0.81074863018161374413777647496301
absolute error = 4.790719246561766e-17
relative error = 5.9090068958717937230294350278601e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.634
y[1] (analytic) = 0.81026371161948323890834226859895
y[1] (numeric) = 0.81026371161948328674859229730872
absolute error = 4.784025002870977e-17
relative error = 5.9042814509230484386776929922250e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.635
y[1] (analytic) = 0.80977779369429890187420731591668
y[1] (numeric) = 0.80977779369429894964748707810798
absolute error = 4.777327976219130e-17
relative error = 5.8995541905692590460311443066625e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.636
y[1] (analytic) = 0.80929087653959429962371880824971
y[1] (numeric) = 0.80929087653959434733000055047791
absolute error = 4.770628174222820e-17
relative error = 5.8948251024666265697899752145833e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.637
y[1] (analytic) = 0.80880296029009172786767724402169
y[1] (numeric) = 0.80880296029009177550693328905298
absolute error = 4.763925604503129e-17
relative error = 5.8900941742281227602020945823473e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.638
y[1] (analytic) = 0.80831404508170238100464854699211
y[1] (numeric) = 0.80831404508170242857685129384836
absolute error = 4.757220274685625e-17
relative error = 5.8853613934232417810882959812278e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.639
y[1] (analytic) = 0.80782413105152656821476610419251
y[1] (numeric) = 0.80782413105152661571988802819589
absolute error = 4.750512192400338e-17
relative error = 5.8806267475777218206735624050508e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.64
y[1] (analytic) = 0.80733321833785392817426215919527
y[1] (numeric) = 0.80733321833785397561227581201291
absolute error = 4.743801365281764e-17
relative error = 5.8758902241732996625469024595847e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.641
y[1] (analytic) = 0.80684130708016364239016203140201
y[1] (numeric) = 0.80684130708016368976104004109056
absolute error = 4.737087800968855e-17
relative error = 5.8711518106474462961932931995832e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.642
y[1] (analytic) = 0.80634839741912464715457620238307
y[1] (numeric) = 0.80634839741912469445829127343312
absolute error = 4.730371507105005e-17
relative error = 5.8664114943930958820383735428742e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.643
y[1] (analytic) = 0.80585448949659584411802688156072
y[1] (numeric) = 0.8058544894965958913545517949412
absolute error = 4.723652491338048e-17
relative error = 5.8616692627583878911913662533072e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.644
y[1] (analytic) = 0.80535958345562630948124723570555
y[1] (numeric) = 0.80535958345562635665055484890796
absolute error = 4.716930761320241e-17
relative error = 5.8569251030463889449874468478777e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.645
y[1] (analytic) = 0.80486367944045550180489303980403
y[1] (numeric) = 0.80486367944045554890695628688671
absolute error = 4.710206324708268e-17
relative error = 5.8521790025148389890199880498588e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.646
y[1] (analytic) = 0.80436677759651346843660808085668
y[1] (numeric) = 0.80436677759651351547139997248888
absolute error = 4.703479189163220e-17
relative error = 5.8474309483758659559117365520227e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.647
y[1] (analytic) = 0.80386887807042105055488622107559
y[1] (numeric) = 0.80386887807042109752237984458148
absolute error = 4.696749362350589e-17
relative error = 5.8426809277957160458793484346988e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.648
y[1] (analytic) = 0.80336998100999008682917460276825
y[1] (numeric) = 0.80336998100999013372934312217092
absolute error = 4.690016851940267e-17
relative error = 5.8379289278944884836414915300977e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.649
y[1] (analytic) = 0.80287008656422361569566405391883
y[1] (numeric) = 0.80287008656422366252848070998402
absolute error = 4.683281665606519e-17
relative error = 5.8331749357458361535818404887110e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=495.9MB, alloc=4.7MB, time=62.92
x[1] = 3.65
y[1] (analytic) = 0.80236919488331607624821433110504
y[1] (numeric) = 0.80236919488331612301365244138505
absolute error = 4.676543811028001e-17
relative error = 5.8284189383767204460024326129588e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.651
y[1] (analytic) = 0.80186730611865350774386341492102
y[1] (numeric) = 0.80186730611865355444189637379827
absolute error = 4.669803295887725e-17
relative error = 5.8236609227670983303599353102162e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.652
y[1] (analytic) = 0.8013644204228137477223716525057
y[1] (numeric) = 0.80136442042281379435297293123644
absolute error = 4.663060127873074e-17
relative error = 5.8189008758496698830938990610060e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.653
y[1] (analytic) = 0.80086053794956662873925312210844
y[1] (numeric) = 0.80086053794956667530239626886614
absolute error = 4.656314314675770e-17
relative error = 5.8141387845095654093530558013682e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.654
y[1] (analytic) = 0.80035565885387417371174817584888
y[1] (numeric) = 0.80035565885387422020740681576775
absolute error = 4.649565863991887e-17
relative error = 5.8093746355840868351288018032534e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.655
y[1] (analytic) = 0.79984978329189078987719269895249
y[1] (numeric) = 0.79984978329189083630534053417071
absolute error = 4.642814783521822e-17
relative error = 5.8046084158623948324133324597835e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.656
y[1] (analytic) = 0.79934291142096346136324120675761
y[1] (numeric) = 0.7993429114209635077238520164607
absolute error = 4.636061080970309e-17
relative error = 5.7998401120852477680423505391009e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.657
y[1] (analytic) = 0.79883504339963194036940248469963
y[1] (numeric) = 0.79883504339963198666245012516352
absolute error = 4.629304764046389e-17
relative error = 5.7950697109446837910429821162320e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.658
y[1] (analytic) = 0.7983261793876289369593480612741
y[1] (numeric) = 0.79832617938762898318480646590827
absolute error = 4.622545840463417e-17
relative error = 5.7902971990837472612062199229269e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.659
y[1] (analytic) = 0.79781631954588030746345538966843
y[1] (numeric) = 0.79781631954588035362129856905879
absolute error = 4.615784317939036e-17
relative error = 5.7855225630961719704060141697286e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.66
y[1] (analytic) = 0.79730546403650524149104920032299
y[1] (numeric) = 0.79730546403650528758125124227491
absolute error = 4.609020204195192e-17
relative error = 5.7807457895261137693080996417713e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.661
y[1] (analytic) = 0.79679361302281644755180607414147
y[1] (numeric) = 0.79679361302281649357434114372254
absolute error = 4.602253506958107e-17
relative error = 5.7759668648678286468227167197445e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.662
y[1] (analytic) = 0.79628076666932033728578887440899
y[1] (numeric) = 0.79628076666932038324063121399172
absolute error = 4.595484233958273e-17
relative error = 5.7711857755653751281989851138241e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.663
y[1] (analytic) = 0.79576692514171720830157926469875
y[1] (numeric) = 0.79576692514171725418870319400322
absolute error = 4.588712392930447e-17
relative error = 5.7664025080123159612612317658626e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.664
y[1] (analytic) = 0.79525208860690142562197813014842
y[1] (numeric) = 0.79525208860690147144135804628489
absolute error = 4.581937991613647e-17
relative error = 5.7616170485514190807710897523837e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.665
y[1] (analytic) = 0.79473625723296160173674531046588
y[1] (numeric) = 0.79473625723296164748835568797721
absolute error = 4.575161037751133e-17
relative error = 5.7568293834743377083658815551151e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.666
y[1] (analytic) = 0.79421943118918077526185164487732
y[1] (numeric) = 0.7942194311891808209456670357813
absolute error = 4.568381539090398e-17
relative error = 5.7520394990213009636607059264562e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.667
y[1] (analytic) = 0.7937016106460365882047179219589
y[1] (numeric) = 0.79370161064603663382071295579066
absolute error = 4.561599503383176e-17
relative error = 5.7472473813808238465891902280764e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.668
y[1] (analytic) = 0.79318279577520146183491692089372
y[1] (numeric) = 0.79318279577520150738306630474787
absolute error = 4.554814938385415e-17
relative error = 5.7424530166893711139360643068845e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.669
y[1] (analytic) = 0.79266298674954277115981632516516
y[1] (numeric) = 0.79266298674954281664009484373787
absolute error = 4.548027851857271e-17
relative error = 5.7376563910310454797794222532098e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.67
y[1] (analytic) = 0.79214218374312301800464188503733
y[1] (numeric) = 0.79214218374312306341702440066844
absolute error = 4.541238251563111e-17
relative error = 5.7328574904372850952134274799914e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.671
y[1] (analytic) = 0.79162038693120000269644180137928
y[1] (numeric) = 0.79162038693120004804090325409416
absolute error = 4.534446145271488e-17
relative error = 5.7280563008865236034599780633917e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.672
y[1] (analytic) = 0.79109759649022699435143490045945
y[1] (numeric) = 0.79109759649022703962795030801094
absolute error = 4.527651540755149e-17
relative error = 5.7232528083038896984232210125991e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.673
y[1] (analytic) = 0.7905738125978528997652267672719
y[1] (numeric) = 0.79057381259785294497377122518201
absolute error = 4.520854445791011e-17
relative error = 5.7184469985608641432669032470788e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.674
y[1] (analytic) = 0.79004903543292243090537960374989
y[1] (numeric) = 0.7900490354329224760459282853515
absolute error = 4.514054868160161e-17
relative error = 5.7136388574749649260776610344028e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.675
y[1] (analytic) = 0.78952326517547627100582317787823
y[1] (numeric) = 0.78952326517547631607835133435671
absolute error = 4.507252815647848e-17
relative error = 5.7088283708094201450518550307628e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.676
y[1] (analytic) = 0.7889965020067512392625958302279
y[1] (numeric) = 0.7889965020067512842670787906626
absolute error = 4.500448296043470e-17
relative error = 5.7040155242728323609704331937519e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.677
y[1] (analytic) = 0.78846874610918045413040610580517
y[1] (numeric) = 0.78846874610918049906681927721081
absolute error = 4.493641317140564e-17
relative error = 5.6992003035188445157237269115957e-15 %
Correct digits = 16
h = 0.001
memory used=499.7MB, alloc=4.7MB, time=63.42
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.678
y[1] (analytic) = 0.78793999766639349521950718133002
y[1] (numeric) = 0.78793999766639354008782604869804
absolute error = 4.486831886736802e-17
relative error = 5.6943826941458112239106183161325e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.679
y[1] (analytic) = 0.78741025686321656379237786113425
y[1] (numeric) = 0.78741025686321660859257798747404
absolute error = 4.480020012633979e-17
relative error = 5.6895626816964576753298439228291e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.68
y[1] (analytic) = 0.78687952388567264185970551879465
y[1] (numeric) = 0.78687952388567268659176254517477
absolute error = 4.473205702638012e-17
relative error = 5.6847402516575502283444860902905e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.681
y[1] (analytic) = 0.78634779892098164987516796639196
y[1] (numeric) = 0.7863477989209816945390576119811
absolute error = 4.466388964558914e-17
relative error = 5.6799153894595329603303627674855e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.682
y[1] (analytic) = 0.78581508215756060302851283890641
y[1] (numeric) = 0.78581508215756064762421090101441
absolute error = 4.459569806210800e-17
relative error = 5.6750880804762025422671184212165e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.683
y[1] (analytic) = 0.78528137378502376613643468772844
y[1] (numeric) = 0.78528137378502381066391704184725
absolute error = 4.452748235411881e-17
relative error = 5.6702583100243655804863425155738e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.684
y[1] (analytic) = 0.78474667399418280713075158457247
y[1] (numeric) = 0.78474667399418285158999418441682
absolute error = 4.445924259984435e-17
relative error = 5.6654260633634643172722157545828e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.685
y[1] (analytic) = 0.78421098297704694914338464523225
y[1] (numeric) = 0.78421098297704699353436352278048
absolute error = 4.439097887754823e-17
relative error = 5.6605913256952572424979655900912e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.686
y[1] (analytic) = 0.78367430092682312118764549160884
y[1] (numeric) = 0.78367430092682316551033675714344
absolute error = 4.432269126553460e-17
relative error = 5.6557540821634400271892460002043e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.687
y[1] (analytic) = 0.78313662803791610743533828026947
y[1] (numeric) = 0.78313662803791615168971812241769
absolute error = 4.425437984214822e-17
relative error = 5.6509143178533099151842794024791e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.688
y[1] (analytic) = 0.78259796450592869508918453646194
y[1] (numeric) = 0.78259796450592873927522922223615
absolute error = 4.418604468577421e-17
relative error = 5.6460720177913868833669040009419e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.689
y[1] (analytic) = 0.78205831052766182085008064400715
y[1] (numeric) = 0.78205831052766186496776651884532
absolute error = 4.411768587483817e-17
relative error = 5.6412271669450795826986576541602e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.69
y[1] (analytic) = 0.78151766630111471597869945382537
y[1] (numeric) = 0.78151766630111476002800294163119
absolute error = 4.404930348780582e-17
relative error = 5.6363797502222875053520836572911e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.691
y[1] (analytic) = 0.78097603202548504995094908701229
y[1] (numeric) = 0.78097603202548509393184669019549
absolute error = 4.398089760318320e-17
relative error = 5.6315297524710722274227473047555e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.692
y[1] (analytic) = 0.78043340790116907270680362237407
y[1] (numeric) = 0.7804334079011691166192719218904
absolute error = 4.391246829951633e-17
relative error = 5.6266771584792571067792529084954e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.693
y[1] (analytic) = 0.77988979412976175549202197314631
y[1] (numeric) = 0.77988979412976179933603762853768
absolute error = 4.384401565539137e-17
relative error = 5.6218219529740884316771747440008e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.694
y[1] (analytic) = 0.77934519091405693029227287326723
y[1] (numeric) = 0.77934519091405697406781262270148
absolute error = 4.377553974943425e-17
relative error = 5.6169641206218261491324244351302e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.695
y[1] (analytic) = 0.77879959845804742785918551003961
y[1] (numeric) = 0.77879959845804747156622617035045
absolute error = 4.370704066031084e-17
relative error = 5.6121036460274012109312773044460e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.696
y[1] (analytic) = 0.77825301696692521432784695730597
y[1] (numeric) = 0.77825301696692525796636542403265
absolute error = 4.363851846672668e-17
relative error = 5.6072405137340139321348314547117e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.697
y[1] (analytic) = 0.77770544664708152642526918136744
y[1] (numeric) = 0.77770544664708156999524242879444
absolute error = 4.356997324742700e-17
relative error = 5.6023747082227669294177604633753e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.698
y[1] (analytic) = 0.77715688770610700526935001080338
y[1] (numeric) = 0.77715688770610704877075509199995
absolute error = 4.350140508119657e-17
relative error = 5.5975062139122736106150298953457e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.699
y[1] (analytic) = 0.77660734035279182875785408108952
y[1] (numeric) = 0.77660734035279187219066812794913
absolute error = 4.343281404685961e-17
relative error = 5.5926350151582717019222408413965e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7
y[1] (analytic) = 0.77605680479712584254694138546834
y[1] (numeric) = 0.7760568047971258859111416087481
absolute error = 4.336420022327976e-17
relative error = 5.5877610962532418286717498664435e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.701
y[1] (analytic) = 0.77550528125029868961877268489334
y[1] (numeric) = 0.77550528125029873291433637425329
absolute error = 4.329556368935995e-17
relative error = 5.5828844414260105341797612820179e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.702
y[1] (analytic) = 0.77495276992469993843772265204735
y[1] (numeric) = 0.77495276992469998166462717608967
absolute error = 4.322690452404232e-17
relative error = 5.5780050348413570062060003808325e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.703
y[1] (analytic) = 0.77439927103391920969473324742211
y[1] (numeric) = 0.77439927103391925285295605373023
absolute error = 4.315822280630812e-17
relative error = 5.5731228605996144810895748736697e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.704
y[1] (analytic) = 0.77384478479274630163934144924048
y[1] (numeric) = 0.77384478479274634472886006441804
absolute error = 4.308951861517756e-17
relative error = 5.5682379027362624130032579027827e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=503.5MB, alloc=4.7MB, time=63.90
NO POLE
x[1] = 3.705
y[1] (analytic) = 0.7732893114171713139989170836014
y[1] (numeric) = 0.77328931141717135701970911331126
absolute error = 4.302079202970986e-17
relative error = 5.5633501452215416820650496208534e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.706
y[1] (analytic) = 0.77273285112438477048464812663047
y[1] (numeric) = 0.7727328511243848134366912556336
absolute error = 4.295204312900313e-17
relative error = 5.5584595719600450659416242765400e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.707
y[1] (analytic) = 0.77217540413277773988381247662223
y[1] (numeric) = 0.77217540413277778276708446881635
absolute error = 4.288327199219412e-17
relative error = 5.5535661667902880212413209698977e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.708
y[1] (analytic) = 0.77161697066194195573787682116274
y[1] (numeric) = 0.7716169706619419985523555196211
absolute error = 4.281447869845836e-17
relative error = 5.5486699134843270563687431200544e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.709
y[1] (analytic) = 0.77105755093266993460596485202307
y[1] (numeric) = 0.77105755093266997735162817903291
absolute error = 4.274566332700984e-17
relative error = 5.5437707957473156892892020128700e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.71
y[1] (analytic) = 0.77049714516695509291323870920928
y[1] (numeric) = 0.7704971451669551355900646663104
absolute error = 4.267682595710112e-17
relative error = 5.5388687972171131735035541699420e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.711
y[1] (analytic) = 0.76993575358799186238373916494625
y[1] (numeric) = 0.76993575358799190499170583296943
absolute error = 4.260796666802318e-17
relative error = 5.5339639014638566332610400625432e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.712
y[1] (analytic) = 0.76937337642017580405723168855471
y[1] (numeric) = 0.76937337642017584659631722765994
absolute error = 4.253908553910523e-17
relative error = 5.5290560919895250064784749642370e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.713
y[1] (analytic) = 0.7688100138891037208896071641535
y[1] (numeric) = 0.76881001388910376335978981386824
absolute error = 4.247018264971474e-17
relative error = 5.5241453522275285618574205381472e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.714
y[1] (analytic) = 0.76824566622157376893638766488107
y[1] (numeric) = 0.76824566622157381133764574413843
absolute error = 4.240125807925736e-17
relative error = 5.5192316655422811564975890792785e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.715
y[1] (analytic) = 0.76768033364558556711888931987795
y[1] (numeric) = 0.76768033364558560945120122705463
absolute error = 4.233231190717668e-17
relative error = 5.5143150152287486224052342945078e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.716
y[1] (analytic) = 0.76711401639034030557259594360394
y[1] (numeric) = 0.76711401639034034783594015655824
absolute error = 4.226334421295430e-17
relative error = 5.5093953845120344171749858374998e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.717
y[1] (analytic) = 0.76654671468624085257729873118054
y[1] (numeric) = 0.76654671468624089477165380729023
absolute error = 4.219435507610969e-17
relative error = 5.5044727565469348845955886370602e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.718
y[1] (analytic) = 0.76597842876489186006855895834476
y[1] (numeric) = 0.76597842876489190219390353454481
absolute error = 4.212534457620005e-17
relative error = 5.4995471144174913736846502746628e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.719
y[1] (analytic) = 0.76540915885909986773005226027661
y[1] (numeric) = 0.76540915885909990978636505309692
absolute error = 4.205631279282031e-17
relative error = 5.4946184411365574802705424744244e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.72
y[1] (analytic) = 0.76483890520287340566635470001596
y[1] (numeric) = 0.76483890520287344765361450561888
absolute error = 4.198725980560292e-17
relative error = 5.4896867196453357183029174008988e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.721
y[1] (analytic) = 0.76426766803142309565573247441252
y[1] (numeric) = 0.76426766803142313757391816863041
absolute error = 4.191818569421789e-17
relative error = 5.4847519328129436392267418256828e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.722
y[1] (analytic) = 0.76369544758116175098249874355567
y[1] (numeric) = 0.76369544758116179283158928192828
absolute error = 4.184909053837261e-17
relative error = 5.4798140634359480001391746088092e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.723
y[1] (analytic) = 0.76312224408970447484850270840424
y[1] (numeric) = 0.76312224408970451662847712621604
absolute error = 4.177997441781180e-17
relative error = 5.4748730942379126668717456029626e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.724
y[1] (analytic) = 0.76254805779586875736331770088083
y[1] (numeric) = 0.7625480577958687990741551131982
absolute error = 4.171083741231737e-17
relative error = 5.4699290078689314628229237841263e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.725
y[1] (analytic) = 0.76197288893967457111269669100672
y[1] (numeric) = 0.76197288893967461275437629271519
absolute error = 4.164167960170847e-17
relative error = 5.4649817869051826201605925641907e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.726
y[1] (analytic) = 0.76139673776234446530486525673262
y[1] (numeric) = 0.76139673776234450687736632257383
absolute error = 4.157250106584121e-17
relative error = 5.4600314138484366413326855363523e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.727
y[1] (analytic) = 0.76081960450630365849422370396172
y[1] (numeric) = 0.76081960450630369999752558857033
absolute error = 4.150330188460861e-17
relative error = 5.4550778711255909179730231424891e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.728
y[1] (analytic) = 0.76024148941518012988203166686738
y[1] (numeric) = 0.76024148941518017131611380480811
absolute error = 4.143408213794073e-17
relative error = 5.4501211410882246611644530361767e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.729
y[1] (analytic) = 0.75966239273380470919365016197415
y[1] (numeric) = 0.75966239273380475055849206777833
absolute error = 4.136484190580418e-17
relative error = 5.4451612060120689306280260855048e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.73
y[1] (analytic) = 0.75908231470821116513191771359289
y[1] (numeric) = 0.75908231470821120642749898179533
absolute error = 4.129558126820244e-17
relative error = 5.4401980480965796837273391956208e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.731
y[1] (analytic) = 0.75850125558563629240623881308506
y[1] (numeric) = 0.7585012555856363336325391182606
absolute error = 4.122630030517554e-17
relative error = 5.4352316494644232176499290654120e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=507.3MB, alloc=4.7MB, time=64.38
x[1] = 3.732
y[1] (analytic) = 0.75791921561451999733696462006527
y[1] (numeric) = 0.75791921561452003849396371686519
absolute error = 4.115699909679992e-17
relative error = 5.4302619921609817149684129910299e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.733
y[1] (analytic) = 0.75733619504450538203464746004132
y[1] (numeric) = 0.75733619504450542312232518322984
absolute error = 4.108767772318852e-17
relative error = 5.4252890581538855908220108523153e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.734
y[1] (analytic) = 0.75675219412643882715375232013242
y[1] (numeric) = 0.75675219412643886817208858462303
absolute error = 4.101833626449061e-17
relative error = 5.4203128293325080244864950058704e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.735
y[1] (analytic) = 0.75616721311237007322041019239561
y[1] (numeric) = 0.75616721311237011416938499328724
absolute error = 4.094897480089163e-17
relative error = 5.4153332875074571660512638471414e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.736
y[1] (analytic) = 0.75558125225555230053379976292816
y[1] (numeric) = 0.75558125225555234141339317554138
absolute error = 4.087959341261322e-17
relative error = 5.4103504144100898163941005720501e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.737
y[1] (analytic) = 0.75499431181044220764074559429784
y[1] (numeric) = 0.75499431181044224845093777421087
absolute error = 4.081019217991303e-17
relative error = 5.4053641916919923803014024825935e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.738
y[1] (analytic) = 0.75440639203270008838312259897931
y[1] (numeric) = 0.75440639203270012912389378206399
absolute error = 4.074077118308468e-17
relative error = 5.4003746009244779480179684601316e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.739
y[1] (analytic) = 0.75381749317918990751765825234457
y[1] (numeric) = 0.75381749317918994818898875480221
absolute error = 4.067133050245764e-17
relative error = 5.3953816235980690698099641686047e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.74
y[1] (analytic) = 0.75322761550797937490772564536437
y[1] (numeric) = 0.75322761550797941550959586376152
absolute error = 4.060187021839715e-17
relative error = 5.3903852411219820647481512893682e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.741
y[1] (analytic) = 0.75263675927834001828672212952476
y[1] (numeric) = 0.75263675927834005881911254082898
absolute error = 4.053239041130422e-17
relative error = 5.3853854348236181746075826602968e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.742
y[1] (analytic) = 0.75204492475074725459262995954726
y[1] (numeric) = 0.75204492475074729505552112116258
absolute error = 4.046289116161532e-17
relative error = 5.3803821859480097298554981422074e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.743
y[1] (analytic) = 0.75145211218688045987335699331791
y[1] (numeric) = 0.7514521121868805002667295431204
absolute error = 4.039337254980249e-17
relative error = 5.3753754756573182126038063252454e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.744
y[1] (analytic) = 0.75085832184962303776245716298267
y[1] (numeric) = 0.75085832184962307808629181935586
absolute error = 4.032383465637319e-17
relative error = 5.3703652850302939276323443138583e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.745
y[1] (analytic) = 0.75026355400306248652483208644689
y[1] (numeric) = 0.75026355400306252677910964831706
absolute error = 4.025427756187017e-17
relative error = 5.3653515950617343769295464100040e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.746
y[1] (analytic) = 0.74966780891249046467201684452693
y[1] (numeric) = 0.74966780891249050485671819139834
absolute error = 4.018470134687141e-17
relative error = 5.3603343866619479873910347631039e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.747
y[1] (analytic) = 0.74907108684440285514665460573917
y[1] (numeric) = 0.74907108684440289526176069772925
absolute error = 4.011510609199008e-17
relative error = 5.3553136406562165337991236719312e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.748
y[1] (analytic) = 0.74847338806649982807576643817369
y[1] (numeric) = 0.74847338806649986812125831604795
absolute error = 4.004549187787426e-17
relative error = 5.3502893377842214997786173832920e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.749
y[1] (analytic) = 0.74787471284768590209242430608441
y[1] (numeric) = 0.74787471284768594206828309129154
absolute error = 3.997585878520713e-17
relative error = 5.3452614586995290976791602611355e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.75
y[1] (analytic) = 0.74727506145807000422543690773517
y[1] (numeric) = 0.74727506145807004413164380244184
absolute error = 3.990620689470667e-17
relative error = 5.3402299839690057964861116176698e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.751
y[1] (analytic) = 0.74667443416896552835665967066569
y[1] (numeric) = 0.74667443416896556819319595779125
absolute error = 3.983653628712556e-17
relative error = 5.3351948940722563641938332114041e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.752
y[1] (analytic) = 0.74607283125289039224554188088511
y[1] (numeric) = 0.74607283125289043201238892413638
absolute error = 3.976684704325127e-17
relative error = 5.3301561694010831974528303038091e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.753
y[1] (analytic) = 0.74547025298356709312052558356023
y[1] (numeric) = 0.74547025298356713281766482746599
absolute error = 3.969713924390576e-17
relative error = 5.3251137902588892424094209775910e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.754
y[1] (analytic) = 0.74486669963592276183691255453692
y[1] (numeric) = 0.74486669963592280146432552448249
absolute error = 3.962741296994557e-17
relative error = 5.3200677368601288908157429722490e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.755
y[1] (analytic) = 0.74426217148608921560081730451874
y[1] (numeric) = 0.74426217148608925515848560678031
absolute error = 3.955766830226157e-17
relative error = 5.3150179893297090262330269388934e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.756
y[1] (analytic) = 0.74365666881140300925882574092006
y[1] (numeric) = 0.74365666881140304874673106269903
absolute error = 3.948790532177897e-17
relative error = 5.3099645277024206056935894519738e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.757
y[1] (analytic) = 0.74305019189040548515298077631401
y[1] (numeric) = 0.74305019189040552457110488577121
absolute error = 3.941812410945720e-17
relative error = 5.3049073319223484506554369535769e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.758
y[1] (analytic) = 0.74244274100284282154071783700373
y[1] (numeric) = 0.74244274100284286088904258329347
absolute error = 3.934832474628974e-17
relative error = 5.2998463818422698842754303451982e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=511.1MB, alloc=4.7MB, time=64.87
x[1] = 3.759
y[1] (analytic) = 0.74183431642966607957937489055761
y[1] (numeric) = 0.74183431642966611885788220386186
absolute error = 3.927850731330425e-17
relative error = 5.2947816572230893173081112111634e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.76
y[1] (analytic) = 0.74122491845303124887490327716559
y[1] (numeric) = 0.74122491845303128808357516872775
absolute error = 3.920867189156216e-17
relative error = 5.2897131377331956492897438244318e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.761
y[1] (analytic) = 0.74061454735629929159440729638695
y[1] (numeric) = 0.74061454735629933073322585854582
absolute error = 3.913881856215887e-17
relative error = 5.2846408029478973028850923029261e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.762
y[1] (analytic) = 0.74000320342403618514214216827618
y[1] (numeric) = 0.74000320342403622421108957449967
absolute error = 3.906894740622349e-17
relative error = 5.2795646323487907309604475113115e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.763
y[1] (analytic) = 0.73939088694201296339860165598261
y[1] (numeric) = 0.73939088694201300239766016090142
absolute error = 3.899905850491881e-17
relative error = 5.2744846053231553175233899065047e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.764
y[1] (analytic) = 0.73877759819720575652232830572573
y[1] (numeric) = 0.73877759819720579545148024516685
absolute error = 3.892915193944112e-17
relative error = 5.2694007011633233744965282420912e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.765
y[1] (analytic) = 0.73816333747779582931408092954576
y[1] (numeric) = 0.73816333747779586817330872056605
absolute error = 3.885922779102029e-17
relative error = 5.2643128990660806181734116611925e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.766
y[1] (analytic) = 0.73754810507316961814299562641911
y[1] (numeric) = 0.73754810507316965693228176733865
absolute error = 3.878928614091954e-17
relative error = 5.2592211781320200052124390121057e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.767
y[1] (analytic) = 0.73693190127391876643437830820565
y[1] (numeric) = 0.73693190127391880515370537864095
absolute error = 3.871932707043530e-17
relative error = 5.2541255173649029201030829944794e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.768
y[1] (analytic) = 0.7363147263718401587187683684604
y[1] (numeric) = 0.73631472637184019736811902935773
absolute error = 3.864935066089733e-17
relative error = 5.2490258956710508297436267279058e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.769
y[1] (analytic) = 0.73569658065993595324191480439362
y[1] (numeric) = 0.73569658065993599182127179806204
absolute error = 3.857935699366842e-17
relative error = 5.2439222918586751396828820991470e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.77
y[1] (analytic) = 0.73507746443241361313530777519592
y[1] (numeric) = 0.73507746443241365164465392534028
absolute error = 3.850934615014436e-17
relative error = 5.2388146846372387409630934380470e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.771
y[1] (analytic) = 0.73445737798468593614691025356131
y[1] (numeric) = 0.73445737798468597458622846531521
absolute error = 3.843931821175390e-17
relative error = 5.2337030526168112953940324813907e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.772
y[1] (analytic) = 0.7338363216133710829317361015359
y[1] (numeric) = 0.73383632161337112130100936149451
absolute error = 3.836927325995861e-17
relative error = 5.2285873743074059426636962544923e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.773
y[1] (analytic) = 0.73321429561629260390192257679206
y[1] (numeric) = 0.73321429561629264220113395304487
absolute error = 3.829921137625281e-17
relative error = 5.2234676281183204891955371529998e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.774
y[1] (analytic) = 0.73259130029247946463594695107644
y[1] (numeric) = 0.73259130029247950286507959323988
absolute error = 3.822913264216344e-17
relative error = 5.2183437923574653443536272069658e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.775
y[1] (analytic) = 0.73196733594216606984663859890199
y[1] (numeric) = 0.73196733594216610800567573815195
absolute error = 3.815903713924996e-17
relative error = 5.2132158452306904048344975177633e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.776
y[1] (analytic) = 0.73134240286679228590763959154801
y[1] (numeric) = 0.73134240286679232399656454065236
absolute error = 3.808892494910435e-17
relative error = 5.2080837648411204363273053241721e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.777
y[1] (analytic) = 0.73071650136900346193796850909631
y[1] (numeric) = 0.73071650136900349995676466244727
absolute error = 3.801879615335096e-17
relative error = 5.2029475291884647743131464334383e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.778
y[1] (analytic) = 0.73008963175265044944434386156318
y[1] (numeric) = 0.73008963175265048739299469520947
absolute error = 3.794865083364629e-17
relative error = 5.1978071161683121313784430792540e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.779
y[1] (analytic) = 0.72946179432278962052092518918456
y[1] (numeric) = 0.7294617943227896583994142608637
absolute error = 3.787848907167914e-17
relative error = 5.1926625035714707232205332269478e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.78
y[1] (analytic) = 0.72883298938568288460613159157497
y[1] (numeric) = 0.72883298938568292241444254074537
absolute error = 3.780831094917040e-17
relative error = 5.1875136690832538099811960047052e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.781
y[1] (analytic) = 0.72820321724879770379619911580447
y[1] (numeric) = 0.72820321724879774153431566367728
absolute error = 3.773811654787281e-17
relative error = 5.1823605902827556238243525371835e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.782
y[1] (analytic) = 0.72757247822080710671514011442248
y[1] (numeric) = 0.72757247822080714438304606399367
absolute error = 3.766790594957119e-17
relative error = 5.1772032446421863289258765920985e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.783
y[1] (analytic) = 0.72694077261158970094076936610232
y[1] (numeric) = 0.72694077261158973853844860218432
absolute error = 3.759767923608200e-17
relative error = 5.1720416095261095339644963833543e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.784
y[1] (analytic) = 0.7263081007322296839864634338779
y[1] (numeric) = 0.72630810073222972151389992313144
absolute error = 3.752743648925354e-17
relative error = 5.1668756621907621113914456764321e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.785
y[1] (analytic) = 0.72567446289501685283832141890075
y[1] (numeric) = 0.72567446289501689029549920986642
absolute error = 3.745717779096567e-17
relative error = 5.1617053797833024689074920266204e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.786
y[1] (analytic) = 0.72503985941344661204739695125121
y[1] (numeric) = 0.72503985941344664943430017438095
absolute error = 3.738690322312974e-17
relative error = 5.1565307393410819858128250911424e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=515.0MB, alloc=4.7MB, time=65.38
NO POLE
x[1] = 3.787
y[1] (analytic) = 0.72440429060221998037667294359625
y[1] (numeric) = 0.72440429060222001769328581128486
absolute error = 3.731661286768861e-17
relative error = 5.1513517177909231730234642695453e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.788
y[1] (analytic) = 0.72376775677724359600245231839363
y[1] (numeric) = 0.72376775677724363324875912501006
absolute error = 3.724630680661643e-17
relative error = 5.1461682919483589859345151213317e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.789
y[1] (analytic) = 0.72313025825562972026983960489507
y[1] (numeric) = 0.72313025825562975744582472681361
absolute error = 3.717598512191854e-17
relative error = 5.1409804385168828166905607481770e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.79
y[1] (analytic) = 0.72249179535569624000198998840034
y[1] (numeric) = 0.72249179535569627710763788403187
absolute error = 3.710564789563153e-17
relative error = 5.1357881340872147499728238748354e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.791
y[1] (analytic) = 0.72185236839696666836280408105653
y[1] (numeric) = 0.72185236839696670539809929087951
absolute error = 3.703529520982298e-17
relative error = 5.1305913551365176695249857706758e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.792
y[1] (analytic) = 0.72121197770017014427274837097877
y[1] (numeric) = 0.7212119777001701812376755175702
absolute error = 3.696492714659143e-17
relative error = 5.1253900780276391466711247756808e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.793
y[1] (analytic) = 0.72057062358724143037748299459172
y[1] (numeric) = 0.72057062358724146727202678265807
absolute error = 3.689454378806635e-17
relative error = 5.1201842790083473333589352219818e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.794
y[1] (analytic) = 0.7199283063813209095689801658507
y[1] (numeric) = 0.71992830638132094639312538225865
absolute error = 3.682414521640795e-17
relative error = 5.1149739342105385796363068880700e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.795
y[1] (analytic) = 0.71928502640675458005881828539573
y[1] (numeric) = 0.71928502640675461681254979920278
absolute error = 3.675373151380705e-17
relative error = 5.1097590196494471661095445999119e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.796
y[1] (analytic) = 0.71864078398909404900333844272031
y[1] (numeric) = 0.71864078398909408568664120520547
absolute error = 3.668330276248516e-17
relative error = 5.1045395112228780182477361944075e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.797
y[1] (analytic) = 0.71799557945509652468035171509728
y[1] (numeric) = 0.71799557945509656129321075979146
absolute error = 3.661285904469418e-17
relative error = 5.0993153847103803548200610661335e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.798
y[1] (analytic) = 0.71734941313272480721708735829218
y[1] (numeric) = 0.71734941313272484375948780100872
absolute error = 3.654240044271654e-17
relative error = 5.0940866157724761893329285201898e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.799
y[1] (analytic) = 0.71670228535114727786907367601318
y[1] (numeric) = 0.71670228535114731434100071487806
absolute error = 3.647192703886488e-17
relative error = 5.0888531799498184359566286575730e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8
y[1] (analytic) = 0.71605419644073788684964504758801
y[1] (numeric) = 0.71605419644073792325108396307001
absolute error = 3.640143891548200e-17
relative error = 5.0836150526623801030453504504244e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.801
y[1] (analytic) = 0.71540514673307613970977028652532
y[1] (numeric) = 0.71540514673307617604070644146629
absolute error = 3.633093615494097e-17
relative error = 5.0783722092086593753184129902291e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.802
y[1] (analytic) = 0.71475513656094708226789919640715
y[1] (numeric) = 0.71475513656094711852831803605191
absolute error = 3.626041883964476e-17
relative error = 5.0731246247648111251301987885670e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.803
y[1] (analytic) = 0.71410416625834128408952588496565
y[1] (numeric) = 0.71410416625834132027941293699191
absolute error = 3.618988705202626e-17
relative error = 5.0678722743838261952304256430206e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.804
y[1] (analytic) = 0.71345223616045482051616909222468
y[1] (numeric) = 0.71345223616045485663550996677299
absolute error = 3.611934087454831e-17
relative error = 5.0626151329947054752700964476783e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.805
y[1] (analytic) = 0.71279934660368925324347148422917
y[1] (numeric) = 0.71279934660368928929225187393251
absolute error = 3.604878038970334e-17
relative error = 5.0573531754015726021069123945614e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.806
y[1] (analytic) = 0.71214549792565160944812156014004
y[1] (numeric) = 0.71214549792565164542632724015355
absolute error = 3.597820568001351e-17
relative error = 5.0520863762828498439875015791969e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.807
y[1] (analytic) = 0.71149069046515435946330351734261
y[1] (numeric) = 0.71149069046515439537092034537312
absolute error = 3.590761682803051e-17
relative error = 5.0468147101903794920372271530455e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.808
y[1] (analytic) = 0.71083492456221539300238211669366
y[1] (numeric) = 0.71083492456221542883939603302914
absolute error = 3.583701391633548e-17
relative error = 5.0415381515485550999610508778276e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.809
y[1] (analytic) = 0.7101782005580579939305312881197
y[1] (numeric) = 0.71017820055805802969692831565863
absolute error = 3.576639702753893e-17
relative error = 5.0362566746534457171786598092847e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.81
y[1] (analytic) = 0.70952051879511081358401691547202
y[1] (numeric) = 0.70952051879511084927978315975267
absolute error = 3.569576624428065e-17
relative error = 5.0309702536719116394685267885334e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.811
y[1] (analytic) = 0.70886187961700784263684593884159
y[1] (numeric) = 0.70886187961700787826196758807113
absolute error = 3.562512164922954e-17
relative error = 5.0256788626407017257257009771428e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.812
y[1] (analytic) = 0.7082022833685883815144956124363
y[1] (numeric) = 0.70820228336858841706895893751997
absolute error = 3.555446332508367e-17
relative error = 5.0203824754655759119946333143721e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.813
y[1] (analytic) = 0.7075417303958970093544384566243
y[1] (numeric) = 0.70754173039589704483822981119427
absolute error = 3.548379135456997e-17
relative error = 5.0150810659203682648259584334712e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=518.8MB, alloc=4.7MB, time=65.88
NO POLE
x[1] = 3.814
y[1] (analytic) = 0.70688022104618355151318014384462
y[1] (numeric) = 0.70688022104618358692628596428901
absolute error = 3.541310582044439e-17
relative error = 5.0097746076461089952301184580553e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.815
y[1] (analytic) = 0.70621775566790304561952925978338
y[1] (numeric) = 0.70621775566790308096193606527489
absolute error = 3.534240680549151e-17
relative error = 5.0044630741500613661075427404094e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.816
y[1] (analytic) = 0.70555433461071570617381958350175
y[1] (numeric) = 0.70555433461071574144551397602656
absolute error = 3.527169439252481e-17
relative error = 4.9991464388048444081401732261278e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.817
y[1] (analytic) = 0.70488995822548688769280723308706
y[1] (numeric) = 0.70488995822548692289377589747324
absolute error = 3.520096866438618e-17
relative error = 4.9938246748474405367895815277578e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.818
y[1] (analytic) = 0.70422462686428704639996672686892
y[1] (numeric) = 0.70422462686428708153019643081505
absolute error = 3.513022970394613e-17
relative error = 4.9884977553782946082763513318029e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.819
y[1] (analytic) = 0.703558340880391700460911714307
y[1] (numeric) = 0.70355834088039173552038930841056
absolute error = 3.505947759410356e-17
relative error = 4.9831656533603429628304562808602e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.82
y[1] (analytic) = 0.70289110062828138876366783530422
y[1] (numeric) = 0.70289110062828142375238025308985
absolute error = 3.498871241778563e-17
relative error = 4.9778283416180487937620304821672e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.821
y[1] (analytic) = 0.70222290646364162824352687193345
y[1] (numeric) = 0.70222290646364166316146112988129
absolute error = 3.491793425794784e-17
relative error = 4.9724857928364595252771479047729e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.822
y[1] (analytic) = 0.70155375874336286975221306238306
y[1] (numeric) = 0.70155375874336290459935625995672
absolute error = 3.484714319757366e-17
relative error = 4.9671379795601922455369785978424e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.823
y[1] (analytic) = 0.70088365782554045247109415332274
y[1] (numeric) = 0.70088365782554048724743347299749
absolute error = 3.477633931967475e-17
relative error = 4.9617848741924950746781311192210e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.824
y[1] (analytic) = 0.70021260406947455686817147386962
y[1] (numeric) = 0.70021260406947459157369418116022
absolute error = 3.470552270729060e-17
relative error = 4.9564264489942178601607148623226e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.825
y[1] (analytic) = 0.6995405978356701561985850218863
y[1] (numeric) = 0.6995405978356701908332784653748
absolute error = 3.463469344348850e-17
relative error = 4.9510626760828216523491974990707e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.826
y[1] (analytic) = 0.69886763948583696654837126147216
y[1] (numeric) = 0.69886763948583700111222287283583
absolute error = 3.456385161136367e-17
relative error = 4.9456935274314028713451607642255e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.827
y[1] (analytic) = 0.69819372938288939542121303921155
y[1] (numeric) = 0.69819372938288942991421033325038
absolute error = 3.449299729403883e-17
relative error = 4.9403189748676291169108832145686e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.828
y[1] (analytic) = 0.6975188678909464888679227360136
y[1] (numeric) = 0.69751886789094652329005331067784
absolute error = 3.442213057466424e-17
relative error = 4.9349389900727336655931420501007e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.829
y[1] (analytic) = 0.69684305537533187715840148122205
y[1] (numeric) = 0.69684305537533191150965301763978
absolute error = 3.435125153641773e-17
relative error = 4.9295535445805001451291627204420e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.83
y[1] (analytic) = 0.69616629220257371899581896608258
y[1] (numeric) = 0.69616629220257375327617922858695
absolute error = 3.428036026250437e-17
relative error = 4.9241626097761870194046685166510e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.831
y[1] (analytic) = 0.69548857874040464427276010462851
y[1] (numeric) = 0.69548857874040467848221694078511
absolute error = 3.420945683615660e-17
relative error = 4.9187661568955093513309848805757e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.832
y[1] (analytic) = 0.69480991535776169536908650158516
y[1] (numeric) = 0.69480991535776172950762784221919
absolute error = 3.413854134063403e-17
relative error = 4.9133641570235645086002363952040e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.833
y[1] (analytic) = 0.69413030242478626699126239899128
y[1] (numeric) = 0.6941303024247863010588762582145
absolute error = 3.406761385922322e-17
relative error = 4.9079565810937460634905240010940e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.834
y[1] (analytic) = 0.69344974031282404455289648589432
y[1] (numeric) = 0.69344974031282407854957096113218
absolute error = 3.399667447523786e-17
relative error = 4.9025433998867063459441665682642e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.835
y[1] (analytic) = 0.69276822939442494109625266869349
y[1] (numeric) = 0.69276822939442497502197594071191
absolute error = 3.392572327201842e-17
relative error = 4.8971245840292337141853233570703e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.836
y[1] (analytic) = 0.69208577004334303275448461347414
y[1] (numeric) = 0.69208577004334306660924494640643
absolute error = 3.385476033293229e-17
relative error = 4.8917001039931913094637205430464e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.837
y[1] (analytic) = 0.69140236263453649275435058600355
y[1] (numeric) = 0.69140236263453652653813632737692
absolute error = 3.378378574137337e-17
relative error = 4.8862699300943672736641220442798e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.838
y[1] (analytic) = 0.69071800754416752395916682993258
y[1] (numeric) = 0.6907180075441675576719664106949
absolute error = 3.371279958076232e-17
relative error = 4.8808340324914109698077022442718e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.839
y[1] (analytic) = 0.69003270514960228995175943917553
y[1] (numeric) = 0.69003270514960232359356137372174
absolute error = 3.364180193454621e-17
relative error = 4.8753923811846731748191727272596e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.84
y[1] (analytic) = 0.68934645582941084465717639641198
y[1] (numeric) = 0.68934645582941087822796928261051
absolute error = 3.357079288619853e-17
relative error = 4.8699449460150888117523979746332e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=522.6MB, alloc=4.7MB, time=66.37
x[1] = 3.841
y[1] (analytic) = 0.68865925996336706050492316617448
y[1] (numeric) = 0.68865925996336709400469568539363
absolute error = 3.349977251921915e-17
relative error = 4.8644916966630429539249365548936e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.842
y[1] (analytic) = 0.68797111793244855513048694804824
y[1] (numeric) = 0.68797111793244858855922786518229
absolute error = 3.342874091713405e-17
relative error = 4.8590326026471937924825623727578e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.843
y[1] (analytic) = 0.68728203011883661661591641311249
y[1] (numeric) = 0.68728203011883664997361457660787
absolute error = 3.335769816349538e-17
relative error = 4.8535676333233337178033510051502e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.844
y[1] (analytic) = 0.68659199690591612726922546489783
y[1] (numeric) = 0.68659199690591616055586980677919
absolute error = 3.328664434188136e-17
relative error = 4.8480967578832173867519828809420e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.845
y[1] (analytic) = 0.68590101867827548594239128481505
y[1] (numeric) = 0.68590101867827551915797082071108
absolute error = 3.321557953589603e-17
relative error = 4.8426199453533579729008869795547e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.846
y[1] (analytic) = 0.6852090958217065288877186412274
y[1] (numeric) = 0.68520909582170656203222247039672
absolute error = 3.314450382916932e-17
relative error = 4.8371371645938599380788983674816e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.847
y[1] (analytic) = 0.68451622872320444915234416109035
y[1] (numeric) = 0.68451622872320448222576146644729
absolute error = 3.307341730535694e-17
relative error = 4.8316483842972155098951409887433e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.848
y[1] (analytic) = 0.68382241777096771451065598336473
y[1] (numeric) = 0.68382241777096774751297603150489
absolute error = 3.300232004814016e-17
relative error = 4.8261535729870748152977245544438e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.849
y[1] (analytic) = 0.68312766335439798393440593422153
y[1] (numeric) = 0.68312766335439801686561807544731
absolute error = 3.293121214122578e-17
relative error = 4.8206526990170333685058378360170e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.85
y[1] (analytic) = 0.6824319658641000226002930853971
y[1] (numeric) = 0.6824319658641000554603867537432
absolute error = 3.286009366834610e-17
relative error = 4.8151457305694091650458793803961e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.851
y[1] (analytic) = 0.68173532569188161543479927892358
y[1] (numeric) = 0.68173532569188164822376399218238
absolute error = 3.278896471325880e-17
relative error = 4.8096326356539960759636180095097e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.852
y[1] (analytic) = 0.68103774323075347919605892384895
y[1] (numeric) = 0.68103774323075351191388428359567
absolute error = 3.271782535974672e-17
relative error = 4.8041133821067918736869655781671e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.853
y[1] (analytic) = 0.68033921887492917309254709347252
y[1] (numeric) = 0.68033921887492920573922278509042
absolute error = 3.264667569161790e-17
relative error = 4.7985879375887535910852060274069e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.854
y[1] (analytic) = 0.6796397530198250079383716750539
y[1] (numeric) = 0.67963975301982504051388746775938
absolute error = 3.257551579270548e-17
relative error = 4.7930562695845215243117551032528e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.855
y[1] (analytic) = 0.67893934606205995384495704790247
y[1] (numeric) = 0.67893934606205998634930279476997
absolute error = 3.250434574686750e-17
relative error = 4.7875183454011175137469813290808e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.856
y[1] (analytic) = 0.67823799839945554644890849021946
y[1] (numeric) = 0.6782379983994555788820741282063
absolute error = 3.243316563798684e-17
relative error = 4.7819741321666526709858930763999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.857
y[1] (analytic) = 0.67753571043103579167584824004423
y[1] (numeric) = 0.67753571043103582403782379001545
absolute error = 3.236197554997122e-17
relative error = 4.7764235968290327805180855811450e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.858
y[1] (analytic) = 0.67683248255702706904001586114766
y[1] (numeric) = 0.67683248255702710133079142790073
absolute error = 3.229077556675307e-17
relative error = 4.7708667061546332551606027049991e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.859
y[1] (analytic) = 0.67612831517885803347942729071635
y[1] (numeric) = 0.67612831517885806569899306300564
absolute error = 3.221956577228929e-17
relative error = 4.7653034267269463491746270625762e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.86
y[1] (analytic) = 0.67542320869915951572638867217997
y[1] (numeric) = 0.67542320869915954787473492274125
absolute error = 3.214834625056128e-17
relative error = 4.7597337249452566543741184202602e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.861
y[1] (analytic) = 0.67471716352176442121316280354979
y[1] (numeric) = 0.6747171635217644532902798891247
absolute error = 3.207711708557491e-17
relative error = 4.7541575670232961432550836694795e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.862
y[1] (analytic) = 0.67401018005170762751258775915525
y[1] (numeric) = 0.67401018005170765951846612051546
absolute error = 3.200587836136021e-17
relative error = 4.7485749189878459356108833073162e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.863
y[1] (analytic) = 0.67330225869522588031344897068534
y[1] (numeric) = 0.67330225869522591224807913265685
absolute error = 3.193463016197151e-17
relative error = 4.7429857466773927838989491780925e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.864
y[1] (analytic) = 0.67259339985975768793040778196414
y[1] (numeric) = 0.67259339985975771979378035345133
absolute error = 3.186337257148719e-17
relative error = 4.7373900157407157563289795128806e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.865
y[1] (analytic) = 0.6718836039539432143482912209072
y[1] (numeric) = 0.67188360395394324614039689491677
absolute error = 3.179210567400957e-17
relative error = 4.7317876916354814508363106997246e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.866
y[1] (analytic) = 0.6711728713876241708005494616211
y[1] (numeric) = 0.67117287138762420252137901528605
absolute error = 3.172082955366495e-17
relative error = 4.7261787396268492577331192535980e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.867
y[1] (analytic) = 0.67046120257184370588168917961759
y[1] (numeric) = 0.67046120257184373753123347422102
absolute error = 3.164954429460343e-17
relative error = 4.7205631247860315247203655071923e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.868
y[1] (analytic) = 0.66974859791884629419349273361417
y[1] (numeric) = 0.66974859791884632577174271461292
memory used=526.4MB, alloc=4.7MB, time=66.87
absolute error = 3.157824998099875e-17
relative error = 4.7149408119888440879591615686418e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.869
y[1] (analytic) = 0.66903505784207762352483483838386
y[1] (numeric) = 0.66903505784207765503178153543221
absolute error = 3.150694669704835e-17
relative error = 4.7093117659142769550286246963931e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.87
y[1] (analytic) = 0.66832058275618448056491012459681
y[1] (numeric) = 0.66832058275618451200054465156982
absolute error = 3.143563452697301e-17
relative error = 4.7036759510429894918527249036469e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.871
y[1] (analytic) = 0.66760517307701463514968671355958
y[1] (numeric) = 0.66760517307701466651400026857673
absolute error = 3.136431355501715e-17
relative error = 4.6980333316558912838763375153830e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.872
y[1] (analytic) = 0.66688882922161672304140266720955
y[1] (numeric) = 0.66688882922161675433438653265787
absolute error = 3.129298386544832e-17
relative error = 4.6923838718325888512853353648047e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.873
y[1] (analytic) = 0.66617155160824012724092390664993
y[1] (numeric) = 0.66617155160824015846256944920735
absolute error = 3.122164554255742e-17
relative error = 4.6867275354499283435992808928940e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.874
y[1] (analytic) = 0.66545334065633485783278392592486
y[1] (numeric) = 0.66545334065633488898308259658322
absolute error = 3.115029867065836e-17
relative error = 4.6810642861804410467361063296211e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.875
y[1] (analytic) = 0.66473419678655143036272736162081
y[1] (numeric) = 0.66473419678655146144167069570894
absolute error = 3.107894333408813e-17
relative error = 4.6753940874908368531933383480259e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.876
y[1] (analytic) = 0.66401412042074074274758121324729
y[1] (numeric) = 0.66401412042074077375516083045397
absolute error = 3.100757961720668e-17
relative error = 4.6697169026404556607352269835570e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.877
y[1] (analytic) = 0.66329311198195395071727924418841
y[1] (numeric) = 0.66329311198195398165348684858517
absolute error = 3.093620760439676e-17
relative error = 4.6640326946796989561749146209108e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.878
y[1] (analytic) = 0.66257117189444234178886682832799
y[1] (numeric) = 0.66257117189444237265369420839176
absolute error = 3.086482738006377e-17
relative error = 4.6583414264484489405521674703868e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.879
y[1] (analytic) = 0.66184830058365720777231524323201
y[1] (numeric) = 0.66184830058365723856575427186793
absolute error = 3.079343902863592e-17
relative error = 4.6526430605745203885903105857211e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.88
y[1] (analytic) = 0.66112449847624971580797614702272
y[1] (numeric) = 0.66112449847624974653001878158651
absolute error = 3.072204263456379e-17
relative error = 4.6469375594720078092221081567346e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.881
y[1] (analytic) = 0.66039976600007077793550871279182
y[1] (numeric) = 0.6603997660000708085861469951123
absolute error = 3.065063828232048e-17
relative error = 4.6412248853397072579889193862584e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.882
y[1] (analytic) = 0.65967410358417091919411363158155
y[1] (numeric) = 0.65967410358417094977333968798301
absolute error = 3.057922605640146e-17
relative error = 4.6355050001594784191913740101829e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.883
y[1] (analytic) = 0.65894751165880014425390993260284
y[1] (numeric) = 0.65894751165880017476171597392718
absolute error = 3.050780604132434e-17
relative error = 4.6297778656945798437303021440297e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.884
y[1] (analytic) = 0.65821999065540780257829230746058
y[1] (numeric) = 0.65821999065540783301467062908953
absolute error = 3.043637832162895e-17
relative error = 4.6240434434880363443184795003589e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.885
y[1] (analytic) = 0.6574915410066424521171083637166
y[1] (numeric) = 0.65749154100664248248205134559381
absolute error = 3.036494298187721e-17
relative error = 4.6183016948609596669009094888171e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.886
y[1] (analytic) = 0.65676216314635172153049697213541
y[1] (numeric) = 0.65676216314635175182399707878828
absolute error = 3.029350010665287e-17
relative error = 4.6125525809108342149329368219258e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.887
y[1] (analytic) = 0.65603185750958217094323061142666
y[1] (numeric) = 0.65603185750958220116528039198834
absolute error = 3.022204978056168e-17
relative error = 4.6067960625098528734611472680386e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.888
y[1] (analytic) = 0.65530062453257915122940635422103
y[1] (numeric) = 0.65530062453257918137999844245206
absolute error = 3.015059208823103e-17
relative error = 4.6010321003031567832618024761198e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.889
y[1] (analytic) = 0.65456846465278666182733187838556
y[1] (numeric) = 0.65456846465278669190645899269559
absolute error = 3.007912711431003e-17
relative error = 4.5952606547071264603228049127815e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.89
y[1] (analytic) = 0.65383537830884720708445462860523
y[1] (numeric) = 0.65383537830884723709210957207452
absolute error = 3.000765494346929e-17
relative error = 4.5894816859076114406005420759833e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.891
y[1] (analytic) = 0.65310136594060165113218399442152
y[1] (numeric) = 0.65310136594060168106835965482247
absolute error = 2.993617566040095e-17
relative error = 4.5836951538581821368485483529406e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.892
y[1] (analytic) = 0.65236642798908907129045811262849
y[1] (numeric) = 0.652366427989089101155147462447
absolute error = 2.986468934981851e-17
relative error = 4.5779010182783350581151826630909e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.893
y[1] (analytic) = 0.65163056489654661000190864407746
y[1] (numeric) = 0.65163056489654663979510474053413
absolute error = 2.979319609645667e-17
relative error = 4.5720992386516832058763375329403e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.894
y[1] (analytic) = 0.65089377710640932529547861753189
y[1] (numeric) = 0.65089377710640935501717460260329
absolute error = 2.972169598507140e-17
relative error = 4.5662897742241652834563252918628e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.895
y[1] (analytic) = 0.65015606506331003977935017624383
y[1] (numeric) = 0.65015606506331006942953927668344
absolute error = 2.965018910043961e-17
relative error = 4.5604725840021769223889133309268e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=530.2MB, alloc=4.7MB, time=67.37
NO POLE
x[1] = 3.896
y[1] (analytic) = 0.64941742921307918816304080638624
y[1] (numeric) = 0.64941742921307921774171633374555
absolute error = 2.957867552735931e-17
relative error = 4.5546476267507603053924619782167e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.897
y[1] (analytic) = 0.64867787000274466330852837037578
y[1] (numeric) = 0.64867787000274469281568372102506
absolute error = 2.950715535064928e-17
relative error = 4.5488148609917015278380739230500e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.898
y[1] (analytic) = 0.64793738788053166081026701244902
y[1] (numeric) = 0.64793738788053169024589566759818
absolute error = 2.943562865514916e-17
relative error = 4.5429742450016753594593946834924e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.899
y[1] (analytic) = 0.64719598329586252210395774861675
y[1] (numeric) = 0.647195983295862551468053274336
absolute error = 2.936409552571925e-17
relative error = 4.5371257368103280338260670809432e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9
y[1] (analytic) = 0.64645365669935657610393929830775
y[1] (numeric) = 0.64645365669935660539649534554817
absolute error = 2.929255604724042e-17
relative error = 4.5312692941983593963996728588910e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.901
y[1] (analytic) = 0.64571040854282997936906646062755
y[1] (numeric) = 0.6457104085428300085900767652415
absolute error = 2.922101030461395e-17
relative error = 4.5254048746955764808305946146485e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.902
y[1] (analytic) = 0.64496623927929555479694508419477
y[1] (numeric) = 0.64496623927929558394640346695642
absolute error = 2.914945838276165e-17
relative error = 4.5195324355789725002678510857581e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.903
y[1] (analytic) = 0.64422114936296262884639442597759
y[1] (numeric) = 0.64422114936296265792429479260305
absolute error = 2.907790036662546e-17
relative error = 4.5136519338707072288070382091453e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.904
y[1] (analytic) = 0.64347513924923686728800944143014
y[1] (numeric) = 0.64347513924923689629434578259779
absolute error = 2.900633634116765e-17
relative error = 4.5077633263361619788518325365622e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.905
y[1] (analytic) = 0.6427282093947201094826972955271
y[1] (numeric) = 0.64272820939472013841746368689759
absolute error = 2.893476639137049e-17
relative error = 4.5018665694818939164028693532545e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.906
y[1] (analytic) = 0.64198036025721020118806413200526
y[1] (numeric) = 0.64198036025721023005125473424151
absolute error = 2.886319060223625e-17
relative error = 4.4959616195536228044434225817759e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.907
y[1] (analytic) = 0.64123159229570082589252988624768
y[1] (numeric) = 0.64123159229570085468413894503476
absolute error = 2.879160905878708e-17
relative error = 4.4900484325341802095773591495052e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.908
y[1] (analytic) = 0.64048190597038133467705067578318
y[1] (numeric) = 0.64048190597038136339707252184819
absolute error = 2.872002184606501e-17
relative error = 4.4841269641414582847193167051287e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.909
y[1] (analytic) = 0.63973130174263657460433005132131
y[1] (numeric) = 0.63973130174263660325275910045298
absolute error = 2.864842904913167e-17
relative error = 4.4781971698262955456003153665227e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.91
y[1] (analytic) = 0.6389797800750467156354021405968
y[1] (numeric) = 0.63897978007504674421223289366506
absolute error = 2.857683075306826e-17
relative error = 4.4722590047703820146251428418797e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.911
y[1] (analytic) = 0.63822734143138707607347146705841
y[1] (numeric) = 0.63822734143138710457869851003405
absolute error = 2.850522704297564e-17
relative error = 4.4663124238841634686878631111680e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.912
y[1] (analytic) = 0.63747398627662794653489597560111
y[1] (numeric) = 0.63747398627662797496851397957498
absolute error = 2.843361800397387e-17
relative error = 4.4603573818046396275370796908004e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.913
y[1] (analytic) = 0.63671971507693441244720154810407
y[1] (numeric) = 0.63671971507693444080920526930655
absolute error = 2.836200372120248e-17
relative error = 4.4543938328932563799409277655379e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.914
y[1] (analytic) = 0.63596452829966617507401804250394
y[1] (numeric) = 0.63596452829966620336440232232404
absolute error = 2.829038427982010e-17
relative error = 4.4484217312336773517108212174544e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.915
y[1] (analytic) = 0.63520842641337737106682864049294
y[1] (numeric) = 0.63520842641337739928558840549738
absolute error = 2.821875976500444e-17
relative error = 4.4424410306295896107003584952016e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.916
y[1] (analytic) = 0.63445140988781639054342604068975
y[1] (numeric) = 0.6344514098878164186905563026421
absolute error = 2.814713026195235e-17
relative error = 4.4364516846025011799696475159908e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.917
y[1] (analytic) = 0.63369347919392569369297078628258
y[1] (numeric) = 0.633693479193925721768466642162
absolute error = 2.807549585587942e-17
relative error = 4.4304536463894450194419232453429e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.918
y[1] (analytic) = 0.63293463480384162590754876868431
y[1] (numeric) = 0.63293463480384165391140540070445
absolute error = 2.800385663202014e-17
relative error = 4.4244468689407497885936580825535e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.919
y[1] (analytic) = 0.63217487719089423144012670167301
y[1] (numeric) = 0.63217487719089425937233937730076
absolute error = 2.793221267562775e-17
relative error = 4.4184313049177402724859182526860e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.92
y[1] (analytic) = 0.63141420682960706558880611380905
y[1] (numeric) = 0.63141420682960709344937018578303
absolute error = 2.786056407197398e-17
relative error = 4.4124069066903984956537349067305e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.921
y[1] (analytic) = 0.63065262419569700540727816062349
y[1] (numeric) = 0.63065262419569703319618906697269
absolute error = 2.778891090634920e-17
relative error = 4.4063736263350675864636034580313e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.922
y[1] (analytic) = 0.62989012976607405894138331216141
y[1] (numeric) = 0.62989012976607408665863657622344
absolute error = 2.771725326406203e-17
relative error = 4.4003314156320478737641463942351e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=534.0MB, alloc=4.7MB, time=67.85
x[1] = 3.923
y[1] (analytic) = 0.62912672401884117299168172593005
y[1] (numeric) = 0.62912672401884120063727295636961
absolute error = 2.764559123043956e-17
relative error = 4.3942802260632670343961031674762e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.924
y[1] (analytic) = 0.6283624074332940394019418701516
y[1] (numeric) = 0.62836240743329406697586676097864
absolute error = 2.757392489082704e-17
relative error = 4.3882200088098434357775925920033e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.925
y[1] (analytic) = 0.62759718048992089987345671744315
y[1] (numeric) = 0.62759718048992092737571104803094
absolute error = 2.750225433058779e-17
relative error = 4.3821507147496612053749738704544e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.926
y[1] (analytic) = 0.62683104367040234930509858464718
y[1] (numeric) = 0.62683104367040237673567821975039
absolute error = 2.743057963510321e-17
relative error = 4.3760722944549379202785534031762e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.927
y[1] (analytic) = 0.62606399745761113765902545050872
y[1] (numeric) = 0.62606399745761116501792634028124
absolute error = 2.735890088977252e-17
relative error = 4.3699846981897256914277833008611e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.928
y[1] (analytic) = 0.62529604233561197035195333923838
y[1] (numeric) = 0.62529604233561199763917151925128
absolute error = 2.728721818001290e-17
relative error = 4.3638878759074521561927614667228e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.929
y[1] (analytic) = 0.62452717878966130717191111471456
y[1] (numeric) = 0.62452717878966133438744270597367
absolute error = 2.721553159125911e-17
relative error = 4.3577817772483543468914182623851e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.93
y[1] (analytic) = 0.62375740730620715972039578715595
y[1] (numeric) = 0.62375740730620718686423699611961
absolute error = 2.714384120896366e-17
relative error = 4.3516663515369759872768055044983e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.931
y[1] (analytic) = 0.62298672837288888737984819154219
y[1] (numeric) = 0.62298672837288891445199531013859
absolute error = 2.707214711859640e-17
relative error = 4.3455415477795473151485518999610e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.932
y[1] (analytic) = 0.62221514247853699180637065486551
y[1] (numeric) = 0.62221514247853701880682006051032
absolute error = 2.700044940564481e-17
relative error = 4.3394073146614520631825893879357e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.933
y[1] (analytic) = 0.62144265011317290994761002746707
y[1] (numeric) = 0.62144265011317293687635818308062
absolute error = 2.692874815561355e-17
relative error = 4.3332636005445505691576128359660e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.934
y[1] (analytic) = 0.62066925176800880558573121223599
y[1] (numeric) = 0.62066925176800883244277466626052
absolute error = 2.685704345402453e-17
relative error = 4.3271103534645607017481063078905e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.935
y[1] (analytic) = 0.61989494793544735940540808433477
y[1] (numeric) = 0.61989494793544738619074347075159
absolute error = 2.678533538641682e-17
relative error = 4.3209475211283873414620789035864e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.936
y[1] (analytic) = 0.61911973910908155758676045335218
y[1] (numeric) = 0.6191197391090815843003844916986
absolute error = 2.671362403834642e-17
relative error = 4.3147750509114031281275147855425e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.937
y[1] (analytic) = 0.61834362578369447892316747937548
y[1] (numeric) = 0.61834362578369450556507697476188
absolute error = 2.664190949538640e-17
relative error = 4.3085928898547624555734808518209e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.938
y[1] (analytic) = 0.61756660845525908046388971441651
y[1] (numeric) = 0.61756660845525910703408155754304
absolute error = 2.657019184312653e-17
relative error = 4.3024009846626064405599599993077e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.939
y[1] (analytic) = 0.61678868762093798168143370091468
y[1] (numeric) = 0.61678868762093800817990486808801
absolute error = 2.649847116717333e-17
relative error = 4.2961992816993086144597300038451e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.94
y[1] (analytic) = 0.61600986377908324716359481967777
y[1] (numeric) = 0.61600986377908327359034237282777
absolute error = 2.642674755315000e-17
relative error = 4.2899877269866739639641983359091e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.941
y[1] (analytic) = 0.61523013742923616783011584060204
y[1] (numeric) = 0.61523013742923619418513692729824
absolute error = 2.635502108669620e-17
relative error = 4.2837662662010859588562742607858e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.942
y[1] (analytic) = 0.61444950907212704067390039083627
y[1] (numeric) = 0.61444950907212706695719224430434
absolute error = 2.628329185346807e-17
relative error = 4.2775348446706645025155562309370e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.943
y[1] (analytic) = 0.61366797920967494702672231671872
y[1] (numeric) = 0.61366797920967497323828225585677
absolute error = 2.621155993913805e-17
relative error = 4.2712934073723631277714288180081e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.944
y[1] (analytic) = 0.6128855483449875293493736778176
y[1] (numeric) = 0.61288554834498755548919910721238
absolute error = 2.613982542939478e-17
relative error = 4.2650418989290505063710618694762e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.945
y[1] (analytic) = 0.6121022169823607665461958737442
y[1] (numeric) = 0.61210221698236079261428428368723
absolute error = 2.606808840994303e-17
relative error = 4.2587802636065678868439872481752e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.946
y[1] (analytic) = 0.61131798562727874780394016708039
y[1] (numeric) = 0.61131798562727877380028913358408
absolute error = 2.599634896650369e-17
relative error = 4.2525084453107670755012739454031e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.947
y[1] (analytic) = 0.61053285478641344495490562876713
y[1] (numeric) = 0.61053285478641347087951281358061
absolute error = 2.592460718481348e-17
relative error = 4.2462263875844730191723150963203e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.948
y[1] (analytic) = 0.60974682496762448336430429563479
y[1] (numeric) = 0.60974682496762450921716744625974
absolute error = 2.585286315062495e-17
relative error = 4.2399340336044637130159943097143e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.949
y[1] (analytic) = 0.60895989667995891134180509341957
y[1] (numeric) = 0.60895989667995893712292204312601
absolute error = 2.578111694970644e-17
relative error = 4.2336313261784133194038175819083e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.95
memory used=537.9MB, alloc=4.7MB, time=68.34
y[1] (analytic) = 0.60817207043365096807720984259931
y[1] (numeric) = 0.60817207043365099378657851044115
absolute error = 2.570936866784184e-17
relative error = 4.2273182077417717765999431733283e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.951
y[1] (analytic) = 0.60738334674012185010021642869395
y[1] (numeric) = 0.60738334674012187573783481952464
absolute error = 2.563761839083069e-17
relative error = 4.2209946203546691455054179399616e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.952
y[1] (analytic) = 0.60659372611197947626422598331196
y[1] (numeric) = 0.60659372611197950183009218779978
absolute error = 2.556586620448782e-17
relative error = 4.2146605056987129536192075503514e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.953
y[1] (analytic) = 0.6058032090630182512541526871771
y[1] (numeric) = 0.60580320906301827674826488182055
absolute error = 2.549411219464345e-17
relative error = 4.2083158050738293418961331032696e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.954
y[1] (analytic) = 0.60501179610821882761819657164372
y[1] (numeric) = 0.60501179610821885304055301878676
absolute error = 2.542235644714304e-17
relative error = 4.2019604593950309778526220136171e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.955
y[1] (analytic) = 0.60421948776374786632354146079601
y[1] (numeric) = 0.60421948776374789167414050864319
absolute error = 2.535059904784718e-17
relative error = 4.1955944091891589753092493327945e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.956
y[1] (analytic) = 0.60342628454695779583594196212874
y[1] (numeric) = 0.60342628454695782111478204476017
absolute error = 2.527884008263143e-17
relative error = 4.1892175945915835813758499504893e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.957
y[1] (analytic) = 0.60263218697638656972316518002023
y[1] (numeric) = 0.60263218697638659493024481740663
absolute error = 2.520707963738640e-17
relative error = 4.1828299553429112864665921658654e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.958
y[1] (analytic) = 0.60183719557175742278225459273203
y[1] (numeric) = 0.60183719557175744791757239074939
absolute error = 2.513531779801736e-17
relative error = 4.1764314307855803573377223256404e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.959
y[1] (analytic) = 0.60104131085397862569058530049882
y[1] (numeric) = 0.60104131085397865075413995094335
absolute error = 2.506355465044453e-17
relative error = 4.1700219598605350065185024555667e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.96
y[1] (analytic) = 0.6002445333451432381806816194103
y[1] (numeric) = 0.60024453334514326317247190001281
absolute error = 2.499179028060251e-17
relative error = 4.1636014811037222763309686345939e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.961
y[1] (analytic) = 0.59944686356852886073876976322325
y[1] (numeric) = 0.59944686356852888565879453766387
absolute error = 2.492002477444062e-17
relative error = 4.1571699326427051705117932951391e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.962
y[1] (analytic) = 0.59864830204859738482704012298594
y[1] (numeric) = 0.59864830204859740967529834090843
absolute error = 2.484825821792249e-17
relative error = 4.1507272521931157342747935086770e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.963
y[1] (analytic) = 0.59784884931099474162959542239407
y[1] (numeric) = 0.59784884931099476640608611942026
absolute error = 2.477649069702619e-17
relative error = 4.1442733770551622687163840641333e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.964
y[1] (analytic) = 0.59704850588255064932206279513707
y[1] (numeric) = 0.59704850588255067402678509288098
absolute error = 2.470472229774391e-17
relative error = 4.1378082441100252774111086253790e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.965
y[1] (analytic) = 0.59624727229127835886484959912401
y[1] (numeric) = 0.59624727229127838349780270520606
absolute error = 2.463295310608205e-17
relative error = 4.1313317898162852413622961967455e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.966
y[1] (analytic) = 0.59544514906637439832002455140547
y[1] (numeric) = 0.59544514906637442288120775946643
absolute error = 2.456118320806096e-17
relative error = 4.1248439502062547908020097542915e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.967
y[1] (analytic) = 0.59464213673821831569180753682298
y[1] (numeric) = 0.59464213673821834018122022653799
absolute error = 2.448941268971501e-17
relative error = 4.1183446608823286296770248889502e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.968
y[1] (analytic) = 0.59383823583837242029065321292422
y[1] (numeric) = 0.59383823583837244470829485001652
absolute error = 2.441764163709230e-17
relative error = 4.1118338570132350899614310015734e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.969
y[1] (analytic) = 0.59303344689958152262091530347345
y[1] (numeric) = 0.59303344689958154696678543972819
absolute error = 2.434587013625474e-17
relative error = 4.1053114733303113800910401951391e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.97
y[1] (analytic) = 0.59222777045577267279208024296509
y[1] (numeric) = 0.59222777045577269706617851624291
absolute error = 2.427409827327782e-17
relative error = 4.0987774441236878323214317767768e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.971
y[1] (analytic) = 0.59142120704205489745356060490747
y[1] (numeric) = 0.59142120704205492165588673915805
absolute error = 2.420232613425058e-17
relative error = 4.0922317032384664139446332734924e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.972
y[1] (analytic) = 0.59061375719471893525304051728516
y[1] (numeric) = 0.59061375719471895938359432256057
absolute error = 2.413055380527541e-17
relative error = 4.0856741840708306987283616097388e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.973
y[1] (analytic) = 0.58980542145123697081836703952712
y[1] (numeric) = 0.58980542145123699487714841199528
absolute error = 2.405878137246816e-17
relative error = 4.0791048195641679216937261947211e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.974
y[1] (analytic) = 0.58899620035026236726298324650494
y[1] (numeric) = 0.58899620035026239124999216846277
absolute error = 2.398700892195783e-17
relative error = 4.0725235422050791895992182989154e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.975
y[1] (analytic) = 0.58818609443162939721490053655488
y[1] (numeric) = 0.58818609443162942113013707644137
absolute error = 2.391523653988649e-17
relative error = 4.0659302840193871744116796103116e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.976
y[1] (analytic) = 0.58737510423635297236920945226079
y[1] (numeric) = 0.58737510423635299621267376467014
absolute error = 2.384346431240935e-17
relative error = 4.0593249765681275384384550705570e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.977
y[1] (analytic) = 0.58656323030662837156413007474923
y[1] (numeric) = 0.58656323030662839533582240044373
absolute error = 2.377169232569450e-17
relative error = 4.0527075509434419938470378626413e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=541.7MB, alloc=4.7MB, time=68.83
NO POLE
x[1] = 3.978
y[1] (analytic) = 0.5857504731858309673806048245286
y[1] (numeric) = 0.58575047318583099108052549045136
absolute error = 2.369992066592276e-17
relative error = 4.0460779377644470510362015580545e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.979
y[1] (analytic) = 0.58493683341851595126543827445245
y[1] (numeric) = 0.58493683341851597489358769374026
absolute error = 2.362814941928781e-17
relative error = 4.0394360671731071716783583553007e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.98
y[1] (analytic) = 0.58412231155041805717799035320031
y[1] (numeric) = 0.58412231155041808073436902519619
absolute error = 2.355637867199588e-17
relative error = 4.0327818688299889964928463826580e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.981
y[1] (analytic) = 0.58330690812845128376043109074211
y[1] (numeric) = 0.58330690812845130724503960100785
absolute error = 2.348460851026574e-17
relative error = 4.0261152719100222361084750869114e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.982
y[1] (analytic) = 0.58249062370070861503156683058786
y[1] (numeric) = 0.58249062370070863844440585091639
absolute error = 2.341283902032853e-17
relative error = 4.0194362050981882046844756543680e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.983
y[1] (analytic) = 0.58167345881646173960424960721569
y[1] (numeric) = 0.58167345881646176294531989564349
absolute error = 2.334107028842780e-17
relative error = 4.0127445965851987801796790871113e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.984
y[1] (analytic) = 0.58085541402616076842638316092063
y[1] (numeric) = 0.58085541402616079169568556173991
absolute error = 2.326930240081928e-17
relative error = 4.0060403740630829438518314512473e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.985
y[1] (analytic) = 0.58003648988143395104554083642751
y[1] (numeric) = 0.58003648988143397424307628019827
absolute error = 2.319753544377076e-17
relative error = 3.9993234647207453822479291476655e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.986
y[1] (analytic) = 0.57921668693508739039721238596568
y[1] (numeric) = 0.57921668693508741352298188952782
absolute error = 2.312576950356214e-17
relative error = 3.9925937952395071144296888572072e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.987
y[1] (analytic) = 0.57839600574110475611669847210721
y[1] (numeric) = 0.57839600574110477917070313859238
absolute error = 2.305400466648517e-17
relative error = 3.9858512917885448577426168491764e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.988
y[1] (analytic) = 0.57757444685464699637467344052051
y[1] (numeric) = 0.57757444685464701935691445936399
absolute error = 2.298224101884348e-17
relative error = 3.9790958800203318861059607735629e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.989
y[1] (analytic) = 0.57675201083205204823643870788894
y[1] (numeric) = 0.57675201083205207114691735484125
absolute error = 2.291047864695231e-17
relative error = 3.9723274850659779751525298243360e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.99
y[1] (analytic) = 0.57592869823083454654489088558312
y[1] (numeric) = 0.57592869823083456938360852272172
absolute error = 2.283871763713860e-17
relative error = 3.9655460315305818985404102113232e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.991
y[1] (analytic) = 0.57510450960968553132723053525851
y[1] (numeric) = 0.57510450960968555409418861099934
absolute error = 2.276695807574083e-17
relative error = 3.9587514434884904072005439273810e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.992
y[1] (analytic) = 0.57427944552847215372543922836972
y[1] (numeric) = 0.57427944552847217642063927747851
absolute error = 2.269520004910879e-17
relative error = 3.9519436444784939687348356724383e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.993
y[1] (analytic) = 0.57345350654823738045055435765125
y[1] (numeric) = 0.57345350654823740307399800125494
absolute error = 2.262344364360369e-17
relative error = 3.9451225574990299972467868772932e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.994
y[1] (analytic) = 0.57262669323119969676077292490867
y[1] (numeric) = 0.57262669323119971931246187050649
absolute error = 2.255168894559782e-17
relative error = 3.9382881050032555579219012677458e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.995
y[1] (analytic) = 0.57179900614075280796341730598896
y[1] (numeric) = 0.57179900614075283044335334746368
absolute error = 2.247993604147472e-17
relative error = 3.9314402088941559846955446518366e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.996
y[1] (analytic) = 0.57097044584146533944079777055829
y[1] (numeric) = 0.57097044584146536184898278818714
absolute error = 2.240818501762885e-17
relative error = 3.9245787905195127496894215544316e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.997
y[1] (analytic) = 0.57014101289908053520000831129988
y[1] (numeric) = 0.57014101289908055753644427176545
absolute error = 2.233643596046557e-17
relative error = 3.9177037706668710882242916422210e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.998
y[1] (analytic) = 0.56931070788051595494669411435912
y[1] (numeric) = 0.56931070788051597721138307076025
absolute error = 2.226468895640113e-17
relative error = 3.9108150695584545442385565910606e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.999
y[1] (analytic) = 0.568479531353863169682830780301
y[1] (numeric) = 0.56847953135386319187577487216344
absolute error = 2.219294409186244e-17
relative error = 3.9039126068459852968333469448623e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4
y[1] (analytic) = 0.56764748388838745582855718250515
y[1] (numeric) = 0.5676474838883874779497586357921
absolute error = 2.212120145328695e-17
relative error = 3.8969963016054672971102070718480e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.001
y[1] (analytic) = 0.56681456605452748786810562780539
y[1] (numeric) = 0.56681456605452750991756675492809
absolute error = 2.204946112712270e-17
relative error = 3.8900660723319422765765527414182e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.002
y[1] (analytic) = 0.56598077842389502951987476228119
y[1] (numeric) = 0.56598077842389505149759796210926
absolute error = 2.197772319982807e-17
relative error = 3.8831218369341351629852250249238e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.003
y[1] (analytic) = 0.56514612156927462343069244342374
y[1] (numeric) = 0.56514612156927464533668020129556
absolute error = 2.190598775787182e-17
relative error = 3.8761635127290920146567830867527e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.004
y[1] (analytic) = 0.56431059606462327939431757843127
y[1] (numeric) = 0.56431059606462330122857246616415
absolute error = 2.183425488773288e-17
relative error = 3.8691910164367145569508791879099e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=545.5MB, alloc=4.7MB, time=69.33
x[1] = 4.005
y[1] (analytic) = 0.56347420248507016109423170713047
y[1] (numeric) = 0.56347420248507018285675638303067
absolute error = 2.176252467590020e-17
relative error = 3.8622042641742451154812058080351e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.006
y[1] (analytic) = 0.56263694140691627137077288697441
y[1] (numeric) = 0.56263694140691629306157009584719
absolute error = 2.169079720887278e-17
relative error = 3.8552031714507226074522779807457e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.007
y[1] (analytic) = 0.56179881340763413601266621672918
y[1] (numeric) = 0.56179881340763415763173878988878
absolute error = 2.161907257315960e-17
relative error = 3.8481876531613592974767635462377e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.008
y[1] (analytic) = 0.56095981906586748607300711482884
y[1] (numeric) = 0.5609598190658675076203579701081
absolute error = 2.154735085527926e-17
relative error = 3.8411576235818034655428688639785e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.009
y[1] (analytic) = 0.56011995896143093870975524794881
y[1] (numeric) = 0.56011995896143096018538738970906
absolute error = 2.147563214176025e-17
relative error = 3.8341129963624508855440149067773e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.01
y[1] (analytic) = 0.55927923367530967655079878512338
y[1] (numeric) = 0.55927923367530969795471530426382
absolute error = 2.140391651914044e-17
relative error = 3.8270536845225533596069206381460e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.011
y[1] (analytic) = 0.55843764378965912558365043270327
y[1] (numeric) = 0.55843764378965914691585450667069
absolute error = 2.133220407396742e-17
relative error = 3.8199796004444138966571810498649e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.012
y[1] (analytic) = 0.55759518988780463156983848562338
y[1] (numeric) = 0.55759518988780465283033337842135
absolute error = 2.126049489279797e-17
relative error = 3.8128906558673608212419456581187e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.013
y[1] (analytic) = 0.55675187255424113498405791081418
y[1] (numeric) = 0.55675187255424115617284697301243
absolute error = 2.118878906219825e-17
relative error = 3.8057867618817838938264720389499e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.014
y[1] (analytic) = 0.55590769237463284447814825915292
y[1] (numeric) = 0.55590769237463286559523492789653
absolute error = 2.111708666874361e-17
relative error = 3.7986678289230350603296410382054e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.015
y[1] (analytic) = 0.55506264993581290886996698310099
y[1] (numeric) = 0.55506264993581292991535478211944
absolute error = 2.104538779901845e-17
relative error = 3.7915337667652696923670863383628e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.016
y[1] (analytic) = 0.5542167458257830876572285181149
y[1] (numeric) = 0.55421674582578310863092105773109
absolute error = 2.097369253961619e-17
relative error = 3.7843844845152383396407435842014e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.017
y[1] (analytic) = 0.55336998063371342005638126704715
y[1] (numeric) = 0.55336998063371344095838224418628
absolute error = 2.090200097713913e-17
relative error = 3.7772198906059885373960630971306e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.018
y[1] (analytic) = 0.55252235494994189256659640806618
y[1] (numeric) = 0.5525223549499419133969096062645
absolute error = 2.083031319819832e-17
relative error = 3.7700398927904972496208304027335e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.019
y[1] (analytic) = 0.55167386936597410505894422812123
y[1] (numeric) = 0.55167386936597412581757351753474
absolute error = 2.075862928941351e-17
relative error = 3.7628443981352457151027246169454e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.02
y[1] (analytic) = 0.55082452447448293539083546565604
y[1] (numeric) = 0.55082452447448295607778480306902
absolute error = 2.068694933741298e-17
relative error = 3.7556333130136995886364192260446e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.021
y[1] (analytic) = 0.54997432086930820254580692813101
y[1] (numeric) = 0.54997432086930822316108035696457
absolute error = 2.061527342883356e-17
relative error = 3.7484065430997495403185642554727e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.022
y[1] (analytic) = 0.54912325914545632829873243194793
y[1] (numeric) = 0.54912325914545634884233408226836
absolute error = 2.054360165032043e-17
relative error = 3.7411639933610370380655832976075e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.023
y[1] (analytic) = 0.54827133989909999740654189457866
y[1] (numeric) = 0.54827133989910001787847598310564
absolute error = 2.047193408852698e-17
relative error = 3.7339055680522149516336129277936e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.024
y[1] (analytic) = 0.54741856372757781632453319108015
y[1] (numeric) = 0.54741856372757783672480402119506
absolute error = 2.040027083011491e-17
relative error = 3.7266311707081749629473331932009e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.025
y[1] (analytic) = 0.54656493122939397044836316973055
y[1] (numeric) = 0.54656493122939399077697513148439
absolute error = 2.032861196175384e-17
relative error = 3.7193407041371076704293310390746e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.026
y[1] (analytic) = 0.54571044300421787988180600423932
y[1] (numeric) = 0.54571044300421790013876357436077
absolute error = 2.025695757012145e-17
relative error = 3.7120340704135802769928375865866e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.027
y[1] (analytic) = 0.54485509965288385373036884287256
y[1] (numeric) = 0.5448550996528838739156765847758
absolute error = 2.018530774190324e-17
relative error = 3.7047111708714648439097952791806e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.028
y[1] (analytic) = 0.54399890177739074292085649788392
y[1] (numeric) = 0.54399890177739076303451906167641
absolute error = 2.011366256379249e-17
relative error = 3.6973719060968218887351913294612e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.029
y[1] (analytic) = 0.54314184998090159154697870185501
y[1] (numeric) = 0.54314184998090161158900082434517
absolute error = 2.004202212249016e-17
relative error = 3.6900161759206907663734419398719e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.03
y[1] (analytic) = 0.54228394486774328674109524092231
y[1] (numeric) = 0.54228394486774330671148174562703
absolute error = 1.997038650470472e-17
relative error = 3.6826438794117837576659676318164e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.031
y[1] (analytic) = 0.54142518704340620707219605839798
y[1] (numeric) = 0.54142518704340622697095185555014
absolute error = 1.989875579715216e-17
relative error = 3.6752549148691287687029681910507e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.032
memory used=549.3MB, alloc=4.7MB, time=69.84
y[1] (analytic) = 0.5405655771145438694702152059798
y[1] (numeric) = 0.54056557711454388929734529253558
absolute error = 1.982713008655578e-17
relative error = 3.6678491798145858671849579769867e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.033
y[1] (analytic) = 0.53970511568897257467677930358548
y[1] (numeric) = 0.53970511568897259443228876323164
absolute error = 1.975550945964616e-17
relative error = 3.6604265709853101558486363431990e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.034
y[1] (analytic) = 0.53884380337567105122249295283972
y[1] (numeric) = 0.53884380337567107090638695600075
absolute error = 1.968389400316103e-17
relative error = 3.6529869843261082089425579634606e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.035
y[1] (analytic) = 0.53798164078478009793086533338434
y[1] (numeric) = 0.5379816407847801175431491372295
absolute error = 1.961228380384516e-17
relative error = 3.6455303149817089713297949874941e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.036
y[1] (analytic) = 0.53711862852760222494898399547165
y[1] (numeric) = 0.53711862852760224448966294392193
absolute error = 1.954067894845028e-17
relative error = 3.6380564572889498046683492046809e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.037
y[1] (analytic) = 0.53625476721660129330504364673654
y[1] (numeric) = 0.53625476721660131277412317047156
absolute error = 1.946907952373502e-17
relative error = 3.6305653047688746411808434446672e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.038
y[1] (analytic) = 0.5353900574654021529928395156216
y[1] (numeric) = 0.5353900574654021723903251320862
absolute error = 1.939748561646460e-17
relative error = 3.6230567501186926003736380548849e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.039
y[1] (analytic) = 0.53452449988879027958333665864853
y[1] (numeric) = 0.53452449988879029890923397205957
absolute error = 1.932589731341104e-17
relative error = 3.6155306852037393172050581188984e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.04
y[1] (analytic) = 0.53365809510271140936342836359004
y[1] (numeric) = 0.5336580951027114286177430649429
absolute error = 1.925431470135286e-17
relative error = 3.6079870010492477775630902230218e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.041
y[1] (analytic) = 0.53279084372427117300199858559062
y[1] (numeric) = 0.53279084372427119218473645266564
absolute error = 1.918273786707502e-17
relative error = 3.6004255878320670315920923688139e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.042
y[1] (analytic) = 0.53192274637173472774340513841708
y[1] (numeric) = 0.53192274637173474685457203578583
absolute error = 1.911116689736875e-17
relative error = 3.5928463348722621571862027878743e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.043
y[1] (analytic) = 0.53105380366452638812850214828304
y[1] (numeric) = 0.53105380366452640716810402731462
absolute error = 1.903960187903158e-17
relative error = 3.5852491306246522533332605452055e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.044
y[1] (analytic) = 0.53018401622322925524332206308705
y[1] (numeric) = 0.53018401622322927421136496195425
absolute error = 1.896804289886720e-17
relative error = 3.5776338626702157261995581932372e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.045
y[1] (analytic) = 0.52931338466958484449553929542709
y[1] (numeric) = 0.52931338466958486339202933911239
absolute error = 1.889649004368530e-17
relative error = 3.5700004177073894384283835028769e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.046
y[1] (analytic) = 0.52844190962649271191883936340444
y[1] (numeric) = 0.52844190962649273074378276370587
absolute error = 1.882494340030143e-17
relative error = 3.5623486815432678215146185234267e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.047
y[1] (analytic) = 0.5275695917180100790053191790043
y[1] (numeric) = 0.52756959171801009775872223454144
absolute error = 1.875340305553714e-17
relative error = 3.5546785390847498284131509326391e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.048
y[1] (analytic) = 0.52669643156935145606604591973875
y[1] (numeric) = 0.52669643156935147474791501595825
absolute error = 1.868186909621950e-17
relative error = 3.5469898743294619940171942829351e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.049
y[1] (analytic) = 0.52582242980688826411990370525269
y[1] (numeric) = 0.52582242980688828273024531443404
absolute error = 1.861034160918135e-17
relative error = 3.5392825703567114870542011690033e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.05
y[1] (analytic) = 0.52494758705814845531085908673153
y[1] (numeric) = 0.52494758705814847384967976799257
absolute error = 1.853882068126104e-17
relative error = 3.5315565093182330298817722058697e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.051
y[1] (analytic) = 0.52407190395181613185377814319919
y[1] (numeric) = 0.52407190395181615032108454250141
absolute error = 1.846730639930222e-17
relative error = 3.5238115724288338727237734955049e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.052
y[1] (analytic) = 0.52319538111773116350892976516083
y[1] (numeric) = 0.52319538111773118190472861531484
absolute error = 1.839579885015401e-17
relative error = 3.5160476399569984361062927740763e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.053
y[1] (analytic) = 0.52231801918688880358531149252349
y[1] (numeric) = 0.52231801918688882190960961319412
absolute error = 1.832429812067063e-17
relative error = 3.5082645912152757415919538040816e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.054
y[1] (analytic) = 0.52143981879143930347293606031312
y[1] (numeric) = 0.52143981879143932172574035802463
absolute error = 1.825280429771151e-17
relative error = 3.5004623045506424134513850810431e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.055
y[1] (analytic) = 0.52056078056468752570421859240347
y[1] (numeric) = 0.52056078056468754388553606054444
absolute error = 1.818131746814097e-17
relative error = 3.4926406573346658752042978396290e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.056
y[1] (analytic) = 0.51968090514109255554460617027099
y[1] (numeric) = 0.51968090514109257365444388909938
absolute error = 1.810983771882839e-17
relative error = 3.4847995259536421283798535883466e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.057
y[1] (analytic) = 0.51880019315626731111259329069595
y[1] (numeric) = 0.51880019315626732915095842734376
absolute error = 1.803836513664781e-17
relative error = 3.4769387857985032111200138584605e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.058
y[1] (analytic) = 0.51791864524697815202926851333329
y[1] (numeric) = 0.51791864524697816999616832181132
absolute error = 1.796689980847803e-17
relative error = 3.4690583112546979053139508630557e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.059
y[1] (analytic) = 0.51703626205114448659753938618317
y[1] (numeric) = 0.5170362620511445044929812073857
absolute error = 1.789544182120253e-17
relative error = 3.4611579756919135631153436858556e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=553.1MB, alloc=4.7MB, time=70.34
NO POLE
x[1] = 4.06
y[1] (analytic) = 0.51615304420783837751118452419248
y[1] (numeric) = 0.51615304420783839533517578590165
absolute error = 1.782399126170917e-17
relative error = 3.4532376514536291088139826789092e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.061
y[1] (analytic) = 0.51526899235728414609388350351484
y[1] (numeric) = 0.51526899235728416384643172040509
absolute error = 1.775254821689025e-17
relative error = 3.4452972098466094546987892049831e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.062
y[1] (analytic) = 0.51438410714085797506837702134769
y[1] (numeric) = 0.51438410714085799274948979499007
absolute error = 1.768111277364238e-17
relative error = 3.4373365211302333996975839289621e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.063
y[1] (analytic) = 0.51349838920108750985591155874517
y[1] (numeric) = 0.51349838920108752746559657761156
absolute error = 1.760968501886639e-17
relative error = 3.4293554545056974876753926745787e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.064
y[1] (analytic) = 0.51261183918165145840612457137533
y[1] (numeric) = 0.51261183918165147594438961084241
absolute error = 1.753826503946708e-17
relative error = 3.4213538781050549991662728744790e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.065
y[1] (analytic) = 0.51172445772737918955752802084568
y[1] (numeric) = 0.51172445772737920702438094319905
absolute error = 1.746685292235337e-17
relative error = 3.4133316589801971966329753743466e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.066
y[1] (analytic) = 0.51083624548425032992874984696333
y[1] (numeric) = 0.51083624548425034732419860140132
absolute error = 1.739544875443799e-17
relative error = 3.4052886630916074512200237669031e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.067
y[1] (analytic) = 0.50994720309939435934069476911739
y[1] (numeric) = 0.50994720309939437666474739175492
absolute error = 1.732405262263753e-17
relative error = 3.3972247552970459608754860814080e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.068
y[1] (analytic) = 0.50905733122109020476978759287629
y[1] (numeric) = 0.50905733122109022202245220674842
absolute error = 1.725266461387213e-17
relative error = 3.3891397993400224458617561958354e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.069
y[1] (analytic) = 0.50816663049876583283246398587308
y[1] (numeric) = 0.50816663049876585001374880093869
absolute error = 1.718128481506561e-17
relative error = 3.3810336578382113201996999573029e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.07
y[1] (analytic) = 0.50727510158299784080107547511097
y[1] (numeric) = 0.50727510158299785791098878825627
absolute error = 1.710991331314530e-17
relative error = 3.3729061922716624183000136772791e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.071
y[1] (analytic) = 0.50638274512551104615137720595237
y[1] (numeric) = 0.50638274512551106318992740099413
absolute error = 1.703855019504176e-17
relative error = 3.3647572629708419386981383174833e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.072
y[1] (analytic) = 0.50548956177917807464176879125823
y[1] (numeric) = 0.50548956177917809160896433894715
absolute error = 1.696719554768892e-17
relative error = 3.3565867291046060099511347510232e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.073
y[1] (analytic) = 0.50459555219801894692446036741914
y[1] (numeric) = 0.50459555219801896382030982544301
absolute error = 1.689584945802387e-17
relative error = 3.3483944486679530963980095916383e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.074
y[1] (analytic) = 0.50370071703720066368873776235978
y[1] (numeric) = 0.50370071703720068051324977534655
absolute error = 1.682451201298677e-17
relative error = 3.3401802784696454517869909503169e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.075
y[1] (analytic) = 0.50280505695303678933650246900582
y[1] (numeric) = 0.50280505695303680608968576852655
absolute error = 1.675318329952073e-17
relative error = 3.3319440741196677969606701677783e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.076
y[1] (analytic) = 0.50190857260298703419026390617232
y[1] (numeric) = 0.501908572602987050872127310744
absolute error = 1.668186340457168e-17
relative error = 3.3236856900165248088177997331991e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.077
y[1] (analytic) = 0.50101126464565683523376323736437
y[1] (numeric) = 0.50101126464565685184431565245275
absolute error = 1.661055241508838e-17
relative error = 3.3154049793344049716309130292635e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.078
y[1] (analytic) = 0.50011313374079693538540980657204
y[1] (numeric) = 0.50011313374079695192466022459425
absolute error = 1.653925041802221e-17
relative error = 3.3071017940101367543765339805294e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.079
y[1] (analytic) = 0.49921418054930296130471303878913
y[1] (numeric) = 0.49921418054930297777267053911622
absolute error = 1.646795750032709e-17
relative error = 3.2987759847300042296613806853659e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.08
y[1] (analytic) = 0.49831440573321499973189444168865
y[1] (numeric) = 0.49831440573321501612856819064806
absolute error = 1.639667374895941e-17
relative error = 3.2904274009163958929087483649736e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.081
y[1] (analytic) = 0.49741380995571717236086613364402
y[1] (numeric) = 0.4974138099557171886862653845219
absolute error = 1.632539925087788e-17
relative error = 3.2820558907142660862401544954242e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.082
y[1] (analytic) = 0.49651239388113720924576411209153
y[1] (numeric) = 0.49651239388113722549989820513502
absolute error = 1.625413409304349e-17
relative error = 3.2736613009774445191761348472477e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.083
y[1] (analytic) = 0.49561015817494602074122626508536
y[1] (numeric) = 0.49561015817494603692410462750476
absolute error = 1.618287836241940e-17
relative error = 3.2652434772547552322425074645163e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.084
y[1] (analytic) = 0.49470710350375726797660691779864
y[1] (numeric) = 0.49470710350375728408823906376931
absolute error = 1.611163214597067e-17
relative error = 3.2568022637759239718460476983230e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.085
y[1] (analytic) = 0.4938032305353269318643214946697
y[1] (numeric) = 0.49380323053532694790471702533417
absolute error = 1.604039553066447e-17
relative error = 3.2483375034374004613640265865360e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.086
y[1] (analytic) = 0.49289853993855288064251666688347
y[1] (numeric) = 0.49289853993855289661168527035319
absolute error = 1.596916860346972e-17
relative error = 3.2398490377878810323219449085277e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=556.9MB, alloc=4.7MB, time=70.86
NO POLE
x[1] = 4.087
y[1] (analytic) = 0.49199303238347443595226314390506
y[1] (numeric) = 0.49199303238347445185021459526209
absolute error = 1.589795145135703e-17
relative error = 3.2313367070137041674729986937792e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.088
y[1] (analytic) = 0.4910867085412719374494700568512
y[1] (numeric) = 0.49108670854127195327621421814991
absolute error = 1.582674416129871e-17
relative error = 3.2228003499240700495273200203745e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.089
y[1] (analytic) = 0.49017956908426630595172167058839
y[1] (numeric) = 0.49017956908426632170726849085703
absolute error = 1.575554682026864e-17
relative error = 3.2142398039360385607571577473760e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.09
y[1] (analytic) = 0.48927161468591860512023895058378
y[1] (numeric) = 0.4892716146859186208045984658257
absolute error = 1.568435951524192e-17
relative error = 3.2056549050592860656430448013690e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.091
y[1] (analytic) = 0.48836284602082960167717029970305
y[1] (numeric) = 0.48836284602082961729035263289826
absolute error = 1.561318233319521e-17
relative error = 3.1970454878808037250721736347136e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.092
y[1] (analytic) = 0.48745326376473932415841756935043
y[1] (numeric) = 0.48745326376473933970043293045669
absolute error = 1.554201536110626e-17
relative error = 3.1884113855492284023875317069087e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.093
y[1] (analytic) = 0.48654286859452662020220523856982
y[1] (numeric) = 0.48654286859452663567306392452378
absolute error = 1.547085868595396e-17
relative error = 3.1797524297590742504843120480766e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.094
y[1] (analytic) = 0.48563166118820871237360244397962
y[1] (numeric) = 0.48563166118820872777331483869778
absolute error = 1.539971239471816e-17
relative error = 3.1710684507347087694075738723171e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.095
y[1] (analytic) = 0.4847196422249407525252093326879
y[1] (numeric) = 0.48471964222494076785378590706765
absolute error = 1.532857657437975e-17
relative error = 3.1623592772141705873523635696191e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.096
y[1] (analytic) = 0.48380681238501537469422099963211
y[1] (numeric) = 0.48380681238501538995167231155237
absolute error = 1.525745131192026e-17
relative error = 3.1536247364326734416823595531349e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.097
y[1] (analytic) = 0.48289317234986224653608406010117
y[1] (numeric) = 0.48289317234986226172242075442324
absolute error = 1.518633669432207e-17
relative error = 3.1448646541060174424304011555465e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.098
y[1] (analytic) = 0.48197872280204761929496269753256
y[1] (numeric) = 0.48197872280204763441019550610064
absolute error = 1.511523280856808e-17
relative error = 3.1360788544136672923420968541142e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.099
y[1] (analytic) = 0.48106346442527387631123281602229
y[1] (numeric) = 0.481063464425273891355372557664
absolute error = 1.504413974164171e-17
relative error = 3.1272671599816733798220301098192e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1
y[1] (analytic) = 0.48014739790437908006622471634729
y[1] (numeric) = 0.48014739790437909503928229687404
absolute error = 1.497305758052675e-17
relative error = 3.1184293918653331683756965225526e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.101
y[1] (analytic) = 0.47923052392533651776443650366961
y[1] (numeric) = 0.47923052392533653266642291587696
absolute error = 1.490198641220735e-17
relative error = 3.1095653695316494045532661944170e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.102
y[1] (analytic) = 0.47831284317525424545344222447198
y[1] (numeric) = 0.47831284317525426028436854813974
absolute error = 1.483092632366776e-17
relative error = 3.1006749108415003569202794986299e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.103
y[1] (analytic) = 0.47739435634237463068172051965902
y[1] (numeric) = 0.47739435634237464544159792155137
absolute error = 1.475987740189235e-17
relative error = 3.0917578320316286983938583056428e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.104
y[1] (analytic) = 0.47647506411607389369463137014948
y[1] (numeric) = 0.47647506411607390838347110401502
absolute error = 1.468883973386554e-17
relative error = 3.0828139476963683907596156228611e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.105
y[1] (analytic) = 0.47555496718686164716877030067678
y[1] (numeric) = 0.47555496718686166178658370724829
absolute error = 1.461781340657151e-17
relative error = 3.0738430707690781424595636330329e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.106
y[1] (analytic) = 0.47463406624638043448493119690678
y[1] (numeric) = 0.47463406624638044903172970390109
absolute error = 1.454679850699431e-17
relative error = 3.0648450125034075286758621880270e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.107
y[1] (analytic) = 0.47371236198740526653991068037337
y[1] (numeric) = 0.47371236198740528101570580249099
absolute error = 1.447579512211762e-17
relative error = 3.0558195824542346081800848638239e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.108
y[1] (analytic) = 0.47278985510384315709738877511718
y[1] (numeric) = 0.47278985510384317150219211404192
absolute error = 1.440480333892474e-17
relative error = 3.0467665884583926584373090600354e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.109
y[1] (analytic) = 0.47186654629073265667812238929375
y[1] (numeric) = 0.47186654629073267101194563369215
absolute error = 1.433382324439840e-17
relative error = 3.0376858366150956727654695993506e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.11
y[1] (analytic) = 0.47094243624424338498968992438793
y[1] (numeric) = 0.47094243624424339925254484990861
absolute error = 1.426285492552068e-17
relative error = 3.0285771312661194748591280121257e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.111
y[1] (analytic) = 0.47001752566167556189602711403291
y[1] (numeric) = 0.47001752566167557608792558330583
absolute error = 1.419189846927292e-17
relative error = 3.0194402749757089577541883324969e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.112
y[1] (analytic) = 0.46909181524145953692699598378032
y[1] (numeric) = 0.469091815241459551047949946416
absolute error = 1.412095396263568e-17
relative error = 3.0102750685102198509574105550037e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.113
y[1] (analytic) = 0.46816530568315531732823061250151
y[1] (numeric) = 0.46816530568315533137825210509006
absolute error = 1.405002149258855e-17
relative error = 3.0010813108174480054233921112704e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=560.7MB, alloc=4.7MB, time=71.36
x[1] = 4.114
y[1] (analytic) = 0.46723799768745209465150516541656
y[1] (numeric) = 0.46723799768745210863060631152662
absolute error = 1.397910114611006e-17
relative error = 2.9918587990056947395954155920054e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.115
y[1] (analytic) = 0.4663098919561677698858714580454
y[1] (numeric) = 0.46630989195616778379406446822299
absolute error = 1.390819301017759e-17
relative error = 2.9826073283225424923113572343267e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.116
y[1] (analytic) = 0.46538098919224847712981509965218
y[1] (numeric) = 0.46538098919224849096711227141938
absolute error = 1.383729717176720e-17
relative error = 2.9733266921333189040688098647272e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.117
y[1] (analytic) = 0.46445129009976810580468105400673
y[1] (numeric) = 0.46445129009976811957109477186052
absolute error = 1.376641371785379e-17
relative error = 2.9640166818993325867895161177547e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.118
y[1] (analytic) = 0.46352079538392782140962124451639
y[1] (numeric) = 0.46352079538392783510516397992699
absolute error = 1.369554273541060e-17
relative error = 2.9546770871556631304090696965327e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.119
y[1] (analytic) = 0.4625895057510555848183186199797
y[1] (numeric) = 0.46258950575105559844300293138913
absolute error = 1.362468431140943e-17
relative error = 2.9453076954887967168532444063523e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.12
y[1] (analytic) = 0.46165742190860567011774388638701
y[1] (numeric) = 0.46165742190860568367158241920732
absolute error = 1.355383853282031e-17
relative error = 2.9359082925138293801546641212607e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.121
y[1] (analytic) = 0.46072454456515818098920289933003
y[1] (numeric) = 0.46072454456515819447220838594165
absolute error = 1.348300548661162e-17
relative error = 2.9264786618514481459106267157364e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.122
y[1] (analytic) = 0.45979087443041856563193450068957
y[1] (numeric) = 0.45979087443041857904411976043936
absolute error = 1.341218525974979e-17
relative error = 2.9170185851044969732862234987098e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.123
y[1] (analytic) = 0.45885641221521713022952037233874
y[1] (numeric) = 0.45885641221521714357089831153806
absolute error = 1.334137793919932e-17
relative error = 2.9075278418342821410066619907215e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.124
y[1] (analytic) = 0.4579211586315085509593702686313
y[1] (numeric) = 0.4579211586315085642299538805539
absolute error = 1.327058361192260e-17
relative error = 2.8980062095364990711880325559001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.125
y[1] (analytic) = 0.45698511439237138454554777843543
y[1] (numeric) = 0.45698511439237139774535014331524
absolute error = 1.319980236487981e-17
relative error = 2.8884534636168357013162559163440e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.126
y[1] (analytic) = 0.45604828021200757735520355642223
y[1] (numeric) = 0.45604828021200759048423784145121
absolute error = 1.312903428502898e-17
relative error = 2.8788693773662645494080034026736e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.127
y[1] (analytic) = 0.45511065680574197303888475222343
y[1] (numeric) = 0.455110656805741986097164211549
absolute error = 1.305827945932557e-17
relative error = 2.8692537219358776010250623141198e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.128
y[1] (analytic) = 0.45417224489002181871499115492887
y[1] (numeric) = 0.45417224489002183170252912965159
absolute error = 1.298753797472272e-17
relative error = 2.8596062663115098465784815001408e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.129
y[1] (analytic) = 0.45323304518241626969865035920603
y[1] (numeric) = 0.4532330451824162826154602773769
absolute error = 1.291680991817087e-17
relative error = 2.8499267772878607921733776685178e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.13
y[1] (analytic) = 0.45229305840161589277528604808012
y[1] (numeric) = 0.45229305840161590562138142469789
absolute error = 1.284609537661777e-17
relative error = 2.8402150194423313684661763408552e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.131
y[1] (analytic) = 0.45135228526743216801915527611994
y[1] (numeric) = 0.45135228526743218079454971312834
absolute error = 1.277539443700840e-17
relative error = 2.8304707551084649309940409396372e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.132
y[1] (analytic) = 0.45041072650079698915713242542497
y[1] (numeric) = 0.45041072650079700186183961170987
absolute error = 1.270470718628490e-17
relative error = 2.8206937443490079441306613266836e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.133
y[1] (analytic) = 0.44946838282376216247801929540259
y[1] (numeric) = 0.44946838282376217511205300678885
absolute error = 1.263403371138626e-17
relative error = 2.8108837449285283159324926926226e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.134
y[1] (analytic) = 0.4485252549594989042876625758574
y[1] (numeric) = 0.44852525495949891685103667510591
absolute error = 1.256337409924851e-17
relative error = 2.8010405122857490151412316157071e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.135
y[1] (analytic) = 0.44758134363229733691016174138914
y[1] (numeric) = 0.44758134363229734940289017819346
absolute error = 1.249272843680432e-17
relative error = 2.7911637995053483779656105965085e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.136
y[1] (analytic) = 0.44663664956756598323545219350241
y[1] (numeric) = 0.44663664956756599565754900448559
absolute error = 1.242209681098318e-17
relative error = 2.7812533572894802988795791698400e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.137
y[1] (analytic) = 0.44569117349183125981355026517717
y[1] (numeric) = 0.44569117349183127216502957388826
absolute error = 1.235147930871109e-17
relative error = 2.7713089339287691831699492021026e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.138
y[1] (analytic) = 0.44474491613273696849574849092276
y[1] (numeric) = 0.4447449161327369807766245078333
absolute error = 1.228087601691054e-17
relative error = 2.7613302752729463246854482660992e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.139
y[1] (analytic) = 0.44379787821904378662305133354505
y[1] (numeric) = 0.44379787821904379883333835604543
absolute error = 1.221028702250038e-17
relative error = 2.7513171247010313077807014225716e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.14
y[1] (analytic) = 0.44285006048062875576214334698957
y[1] (numeric) = 0.44285006048062876790185575938537
absolute error = 1.213971241239580e-17
relative error = 2.7412692230911003694945126057873e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.141
y[1] (analytic) = 0.44190146364848476898918354268357
y[1] (numeric) = 0.44190146364848478105833581619163
absolute error = 1.206915227350806e-17
relative error = 2.7311863087895531078569562087428e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=564.6MB, alloc=4.7MB, time=71.86
NO POLE
x[1] = 4.142
y[1] (analytic) = 0.4409520884547200567217215147822
y[1] (numeric) = 0.44095208845472006872032820752676
absolute error = 1.199860669274456e-17
relative error = 2.7210681175800028215998676228891e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.143
y[1] (analytic) = 0.4400019356325576710990326676304
y[1] (numeric) = 0.44000193563255768302710842463905
absolute error = 1.192807575700865e-17
relative error = 2.7109143826516474559617607088754e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.144
y[1] (analytic) = 0.43905100591633496891117167657519
y[1] (numeric) = 0.43905100591633498076873122977469
absolute error = 1.185755955319950e-17
relative error = 2.7007248345671851785859119034463e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.145
y[1] (analytic) = 0.43809930004150309307704510100544
y[1] (numeric) = 0.43809930004150310486410326921755
absolute error = 1.178705816821211e-17
relative error = 2.6904992012302849176605029680075e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.146
y[1] (analytic) = 0.43714681874462645267180585615334
y[1] (numeric) = 0.43714681874462646438837754509038
absolute error = 1.171657168893704e-17
relative error = 2.6802372078525079773034088365330e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.147
y[1] (analytic) = 0.43619356276338220150387403776112
y[1] (numeric) = 0.43619356276338221314997424002156
absolute error = 1.164610020226044e-17
relative error = 2.6699385769198042663244059694703e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.148
y[1] (analytic) = 0.43523953283655971524189038119849
y[1] (numeric) = 0.43523953283655972681753417626249
absolute error = 1.157564379506400e-17
relative error = 2.6596030281584882508036188766028e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.149
y[1] (analytic) = 0.43428472970406006709191042400623
y[1] (numeric) = 0.43428472970406007859711297823075
absolute error = 1.150520255422452e-17
relative error = 2.6492302785006164754573615839968e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.15
y[1] (analytic) = 0.43332915410689550202514922813642
y[1] (numeric) = 0.43332915410689551345992579475072
absolute error = 1.143477656661430e-17
relative error = 2.6388200420490332548710608895644e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.151
y[1] (analytic) = 0.43237280678718890955658830536414
y[1] (numeric) = 0.43237280678718892092095422446474
absolute error = 1.136436591910060e-17
relative error = 2.6283720300416735454043764334049e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.152
y[1] (analytic) = 0.43141568848817329507475817644581
y[1] (numeric) = 0.4314156884881733063687288749916
absolute error = 1.129397069854579e-17
relative error = 2.6178859508154858505295893539574e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.153
y[1] (analytic) = 0.43045779995419124972301178160615
y[1] (numeric) = 0.43045779995419126094660277341329
absolute error = 1.122359099180714e-17
relative error = 2.6073615097697241687405182838239e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.154
y[1] (analytic) = 0.42949914193069441883260574683653
y[1] (numeric) = 0.42949914193069442998583263257336
absolute error = 1.115322688573683e-17
relative error = 2.5967984093287330081164464618815e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.155
y[1] (analytic) = 0.42853971516424296890790829728704
y[1] (numeric) = 0.42853971516424297999078676446862
absolute error = 1.108287846718158e-17
relative error = 2.5861963489040763315885479422085e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.156
y[1] (analytic) = 0.42757952040250505316405439572561
y[1] (numeric) = 0.42757952040250506417660021870851
absolute error = 1.101254582298290e-17
relative error = 2.5755550248562327956991358658290e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.157
y[1] (analytic) = 0.42661855839425627561737047062382
y[1] (numeric) = 0.42661855839425628655959951060061
absolute error = 1.094222903997679e-17
relative error = 2.5648741304555749726650274067160e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.158
y[1] (analytic) = 0.42565682988937915372889288490142
y[1] (numeric) = 0.42565682988937916460082108989498
absolute error = 1.087192820499356e-17
relative error = 2.5541533558427773982377217501822e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.159
y[1] (analytic) = 0.42469433563886257960130608272367
y[1] (numeric) = 0.4246943356388625904029494875816
absolute error = 1.080164340485793e-17
relative error = 2.5433923879886807957333018119476e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.16
y[1] (analytic) = 0.42373107639480127972962813799347
y[1] (numeric) = 0.42373107639480129046100286438231
absolute error = 1.073137472638884e-17
relative error = 2.5325909106534680204630224224959e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.161
y[1] (analytic) = 0.42276705291039527330597321431001
y[1] (numeric) = 0.42276705291039528396709547070921
absolute error = 1.066112225639920e-17
relative error = 2.5217486043451938400776812228293e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.162
y[1] (analytic) = 0.42180226593994932907872223217707
y[1] (numeric) = 0.42180226593994933966960831387315
absolute error = 1.059088608169608e-17
relative error = 2.5108651462777754177044479348764e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.163
y[1] (analytic) = 0.42083671623887242076643482513645
y[1] (numeric) = 0.42083671623887243128710111421677
absolute error = 1.052066628908032e-17
relative error = 2.4999402103281911129340595763904e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.164
y[1] (analytic) = 0.41987040456367718102683745226784
y[1] (numeric) = 0.41987040456367719147730041761447
absolute error = 1.045046296534663e-17
relative error = 2.4889734669931283188865085528211e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.165
y[1] (analytic) = 0.41890333167197935398122432014069
y[1] (numeric) = 0.41890333167197936436150051742414
absolute error = 1.038027619728345e-17
relative error = 2.4779645833448957704648647224180e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.166
y[1] (analytic) = 0.41793549832249724629460955281839
y[1] (numeric) = 0.41793549832249725660471562449106
absolute error = 1.031010607167267e-17
relative error = 2.4669132229866109117609767730658e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.167
y[1] (analytic) = 0.41696690527505117681197083390063
y[1] (numeric) = 0.41696690527505118705192350919033
absolute error = 1.023995267528970e-17
relative error = 2.4558190460067666074327584870865e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.168
y[1] (analytic) = 0.41599755329056292475092652984503
y[1] (numeric) = 0.41599755329056293492074262474849
absolute error = 1.016981609490346e-17
relative error = 2.4446817089330622398332140262742e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=568.4MB, alloc=4.7MB, time=72.37
NO POLE
x[1] = 4.169
y[1] (analytic) = 0.41502744313105517645119008893006
y[1] (numeric) = 0.41502744313105518655088650620603
absolute error = 1.009969641727597e-17
relative error = 2.4335008646854085617286038715323e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.17
y[1] (analytic) = 0.41405657555965097068114729520476
y[1] (numeric) = 0.41405657555965098071074102436732
absolute error = 1.002959372916256e-17
relative error = 2.4222761625283375692879925177263e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.171
y[1] (analytic) = 0.41308495134057314250190374162006
y[1] (numeric) = 0.41308495134057315246141185893162
absolute error = 9.95950811731156e-18
relative error = 2.4110072480225300798868852645465e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.172
y[1] (analytic) = 0.41211257123914376568915167124185
y[1] (numeric) = 0.41211257123914377557859133970612
absolute error = 9.88943966846427e-18
relative error = 2.3996937629756389960286727579237e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.173
y[1] (analytic) = 0.41113943602178359371320712001168
y[1] (numeric) = 0.4111394360217836035325955893665
absolute error = 9.81938846935482e-18
relative error = 2.3883353453923001275535191797514e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.174
y[1] (analytic) = 0.4101655464560114992775700789413
y[1] (numeric) = 0.41016554645601150902692468565149
absolute error = 9.74935460671019e-18
relative error = 2.3769316294233812705135557660113e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.175
y[1] (analytic) = 0.40919090331044391241636217790191
y[1] (numeric) = 0.40919090331044392209570034515186
absolute error = 9.67933816724995e-18
relative error = 2.3654822453143476579516551566399e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.176
y[1] (analytic) = 0.40821550735479425715099817729391
y[1] (numeric) = 0.40821550735479426676033741498014
absolute error = 9.60933923768623e-18
relative error = 2.3539868193528522547882137273523e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.177
y[1] (analytic) = 0.40723935935987238670644933785855
y[1] (numeric) = 0.40723935935987239624580724258216
absolute error = 9.53935790472361e-18
relative error = 2.3424449738154600536646659589649e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.178
y[1] (analytic) = 0.40626246009758401728745852271479
y[1] (numeric) = 0.40626246009758402675685277777385
absolute error = 9.46939425505906e-18
relative error = 2.3308563269135220514833902945480e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.179
y[1] (analytic) = 0.40528481034093016041506866937226
y[1] (numeric) = 0.40528481034093016981451704475399
absolute error = 9.39944837538173e-18
relative error = 2.3192204927381334261525211591788e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.18
y[1] (analytic) = 0.40430641086400655382382805298088
y[1] (numeric) = 0.40430641086400656315334840535379
absolute error = 9.32952035237291e-18
relative error = 2.3075370812042377429732852316427e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.181
y[1] (analytic) = 0.40332726244200309092003754542923
y[1] (numeric) = 0.40332726244200310017964781813518
absolute error = 9.25961027270595e-18
relative error = 2.2958056979938087729237164293991e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.182
y[1] (analytic) = 0.40234736585120324880140685809346
y[1] (numeric) = 0.40234736585120325799112508113957
absolute error = 9.18971822304611e-18
relative error = 2.2840259444980848717538596814205e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.183
y[1] (analytic) = 0.40136672186898351483848853906446
y[1] (numeric) = 0.40136672186898352395833282911502
absolute error = 9.11984429005056e-18
relative error = 2.2721974177588926250538344673806e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.184
y[1] (analytic) = 0.40038533127381281181826027854241
y[1] (numeric) = 0.40038533127381282086824883891049
absolute error = 9.04998856036808e-18
relative error = 2.2603197104089298028870471664101e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.185
y[1] (analytic) = 0.39940319484525192165022785877987
y[1] (numeric) = 0.39940319484525193063037897941903
absolute error = 8.98015112063916e-18
relative error = 2.2483924106111630001314569037877e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.186
y[1] (analytic) = 0.39842031336395290763542286747917
y[1] (numeric) = 0.39842031336395291654575492497486
absolute error = 8.91033205749569e-18
relative error = 2.2364151019971193611013944610712e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.187
y[1] (analytic) = 0.3974366876116585352986710758995
y[1] (numeric) = 0.39743668761165854413920253346064
absolute error = 8.84053145756114e-18
relative error = 2.2243873636042776374113018244408e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.188
y[1] (analytic) = 0.3964523183712016917845091651083
y[1] (numeric) = 0.3964523183712017005552585725585
absolute error = 8.77074940745020e-18
relative error = 2.2123087698122810367726870513986e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.189
y[1] (analytic) = 0.39546720642650480381712926581064
y[1] (numeric) = 0.39546720642650481251811525957933
absolute error = 8.70098599376869e-18
relative error = 2.2001788902781540223067870316593e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.19
y[1] (analytic) = 0.3944813525625792542247325590139
y[1] (numeric) = 0.3944813525625792628559738621276
absolute error = 8.63124130311370e-18
relative error = 2.1879972898704933368280533369477e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.191
y[1] (analytic) = 0.39349475756552479702867496642793
y[1] (numeric) = 0.39349475756552480559019038850114
absolute error = 8.56151542207321e-18
relative error = 2.1757635286024224513484976455610e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.192
y[1] (analytic) = 0.39250742222252897109778974095899
y[1] (numeric) = 0.39250742222252897958959817818511
absolute error = 8.49180843722612e-18
relative error = 2.1634771615635223663202545644787e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.193
y[1] (analytic) = 0.39151934732186651236827354893207
y[1] (numeric) = 0.3915193473218665207903939840742
absolute error = 8.42212043514213e-18
relative error = 2.1511377388505753672816359902943e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.194
y[1] (analytic) = 0.39053053365289876462952441676357
y[1] (numeric) = 0.39053053365289877298197591914521
absolute error = 8.35245150238164e-18
relative error = 2.1387448054971419062721622526134e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.195
y[1] (analytic) = 0.38954098200607308887632169570584
y[1] (numeric) = 0.38954098200607309715912342120147
absolute error = 8.28280172549563e-18
relative error = 2.1262979014019372263821261541138e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=572.2MB, alloc=4.7MB, time=72.87
x[1] = 4.196
y[1] (analytic) = 0.38855069317292227122773997899286
y[1] (numeric) = 0.38855069317292227944091117001839
absolute error = 8.21317119102553e-18
relative error = 2.1137965612559864813166816841832e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.197
y[1] (analytic) = 0.38755966794606392941319068623125
y[1] (numeric) = 0.38755966794606393755675067173445
absolute error = 8.14355998550320e-18
relative error = 2.1012403144685649950578085472235e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.198
y[1] (analytic) = 0.38656790711919991782598681020056
y[1] (numeric) = 0.38656790711919992589995500565134
absolute error = 8.07396819545078e-18
relative error = 2.0886286850918372599618160126848e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.199
y[1] (analytic) = 0.38557541148711573114482810134837
y[1] (numeric) = 0.38557541148711573914922400872888
absolute error = 8.00439590738051e-18
relative error = 2.0759611917441946168482148264753e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2
y[1] (analytic) = 0.38458218184567990652360574518817
y[1] (numeric) = 0.38458218184567991445844895298297
absolute error = 7.93484320779480e-18
relative error = 2.0632373475323383035337247792369e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.201
y[1] (analytic) = 0.38358821899184342434992736752935
y[1] (numeric) = 0.38358821899184343221523755071529
absolute error = 7.86531018318594e-18
relative error = 2.0504566599719234465442648284277e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.202
y[1] (analytic) = 0.38259352372363910757276498198425
y[1] (numeric) = 0.3825935237236391153685619020204
absolute error = 7.79579692003615e-18
relative error = 2.0376186309069180775359822383285e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.203
y[1] (analytic) = 0.38159809684018101959963027350924
y[1] (numeric) = 0.38159809684018102732593377832659
absolute error = 7.72630350481735e-18
relative error = 2.0247227564274884906610720093546e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.204
y[1] (analytic) = 0.38060193914166386076368339083857
y[1] (numeric) = 0.38060193914166386842051341482973
absolute error = 7.65683002399116e-18
relative error = 2.0117685267865151457690147458320e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.205
y[1] (analytic) = 0.37960505142936236336118319956291
y[1] (numeric) = 0.37960505142936237094855976357166
absolute error = 7.58737656400875e-18
relative error = 1.9987554263146109886102894992419e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.206
y[1] (analytic) = 0.37860743450563068525968872628411
y[1] (numeric) = 0.37860743450563069277763193759481
absolute error = 7.51794321131070e-18
relative error = 1.9856829333336539232085859188216e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.207
y[1] (analytic) = 0.3776090891739018020774233027434
y[1] (numeric) = 0.37760908917390180952595335507039
absolute error = 7.44853005232699e-18
relative error = 1.9725505200688347569707759222676e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.208
y[1] (analytic) = 0.37661001623868689793421469706956
y[1] (numeric) = 0.37661001623868690531335187054636
absolute error = 7.37913717347680e-18
relative error = 1.9593576525591050663055185096037e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.209
y[1] (analytic) = 0.37561021650557475477442629732324
y[1] (numeric) = 0.37561021650557476208419095849172
absolute error = 7.30976466116848e-18
relative error = 1.9461037905660879397352936119052e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.21
y[1] (analytic) = 0.37460969078123114026229619032355
y[1] (numeric) = 0.37460969078123114750270879212292
absolute error = 7.24041260179937e-18
relative error = 1.9327883874813343033444555124539e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.211
y[1] (analytic) = 0.37360843987339819425010275632871
y[1] (numeric) = 0.37360843987339820142118383808451
absolute error = 7.17108108175580e-18
relative error = 1.9194108902319789260633039682380e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.212
y[1] (analytic) = 0.37260646459089381381957717750449
y[1] (numeric) = 0.3726064645908938209213473649174
absolute error = 7.10177018741291e-18
relative error = 1.9059707391846661063149296692840e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.213
y[1] (analytic) = 0.37160376574361103689698503524741
y[1] (numeric) = 0.37160376574361104392946504038194
absolute error = 7.03248000513453e-18
relative error = 1.8924673680477736229402488694350e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.214
y[1] (analytic) = 0.37060034414251742444230094833456
y[1] (numeric) = 0.37060034414251743140551156960771
absolute error = 6.96321062127315e-18
relative error = 1.8789002037719074059313699152579e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.215
y[1] (analytic) = 0.36959620059965444121290198054496
y[1] (numeric) = 0.36959620059965444810686410271473
absolute error = 6.89396212216977e-18
relative error = 1.8652686664485737680983885887039e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.216
y[1] (analytic) = 0.36859133592813683510220732283653
y[1] (numeric) = 0.36859133592813684192694191699033
absolute error = 6.82473459415380e-18
relative error = 1.8515721692070370208481758402944e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.217
y[1] (analytic) = 0.36758575094215201505369353136649
y[1] (numeric) = 0.36758575094215202180922165490944
absolute error = 6.75552812354295e-18
relative error = 1.8378101181093078116799934158169e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.218
y[1] (analytic) = 0.36657944645695942755071637860856
y[1] (numeric) = 0.36657944645695943423705917525174
absolute error = 6.68634279664318e-18
relative error = 1.8239819120432416977624521842940e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.219
y[1] (analytic) = 0.36557242328888993168257215054638
y[1] (numeric) = 0.36557242328888993829975085029487
absolute error = 6.61717869974849e-18
relative error = 1.8100869426136476022121270548980e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.22
y[1] (analytic) = 0.36456468225534517278723299840531
y[1] (numeric) = 0.36456468225534517933526891754628
absolute error = 6.54803591914097e-18
relative error = 1.7961245940314790426946328848164e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.221
y[1] (analytic) = 0.36355622417479695467119272862509
y[1] (numeric) = 0.3635562241747969611501072697156
absolute error = 6.47891454109051e-18
relative error = 1.7820942430009019825950712277256e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.222
y[1] (analytic) = 0.3625470498667866104068611897674
y[1] (numeric) = 0.36254704986678661681667584162228
absolute error = 6.40981465185488e-18
relative error = 1.7679952586043898059115052253439e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.223
y[1] (analytic) = 0.36153716015192437170794718979786
y[1] (numeric) = 0.36153716015192437804868352747734
absolute error = 6.34073633767948e-18
relative error = 1.7538270021856091766846838178168e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=576.0MB, alloc=4.7MB, time=73.39
NO POLE
x[1] = 4.224
y[1] (analytic) = 0.36052655585188873688327165167464
y[1] (numeric) = 0.36052655585188874315495133647194
absolute error = 6.27167968479730e-18
relative error = 1.7395888272301990938631796934852e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.225
y[1] (analytic) = 0.35951523778942583736945448941723
y[1] (numeric) = 0.35951523778942584357209926884611
absolute error = 6.20264477942888e-18
relative error = 1.7252800792443390340802130167588e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.226
y[1] (analytic) = 0.35850320678834880284292046081484
y[1] (numeric) = 0.35850320678834880897655216859691
absolute error = 6.13363170778207e-18
relative error = 1.7109000956310024123618607671196e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.227
y[1] (analytic) = 0.35749046367353712491167102666227
y[1] (numeric) = 0.35749046367353713097631158271429
absolute error = 6.06464055605202e-18
relative error = 1.6964482055639653611203700709339e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.228
y[1] (analytic) = 0.3564770092709360193872710198813
y[1] (numeric) = 0.35647700927093602538294243030238
absolute error = 5.99567141042108e-18
relative error = 1.6819237298594319156186977796246e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.229
y[1] (analytic) = 0.35546284440755578713750070109396
y[1] (numeric) = 0.35546284440755579306422505815258
absolute error = 5.92672435705862e-18
relative error = 1.6673259808452262522881812036513e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.23
y[1] (analytic) = 0.35444796991147117352012555015853
y[1] (numeric) = 0.35444796991147117937792503227957
absolute error = 5.85779948212104e-18
relative error = 1.6526542622275747337810113311511e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.231
y[1] (analytic) = 0.35343238661182072639823791585936
y[1] (numeric) = 0.35343238661182073218713478761091
absolute error = 5.78889687175155e-18
relative error = 1.6379078689553056913193433107815e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.232
y[1] (analytic) = 0.35241609533880615273762641835242
y[1] (numeric) = 0.35241609533880615845764303043255
absolute error = 5.72001661208013e-18
relative error = 1.6230860870815263056414605156080e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.233
y[1] (analytic) = 0.35139909692369167378663077111114
y[1] (numeric) = 0.3513990969236916794377895603346
absolute error = 5.65115878922346e-18
relative error = 1.6081881936226607585489811117306e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.234
y[1] (analytic) = 0.35038139219880337883894146098685
y[1] (numeric) = 0.35038139219880338442126495027156
absolute error = 5.58232348928471e-18
relative error = 1.5932134564147595533642871278532e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.235
y[1] (analytic) = 0.34936298199752857757980549659377
y[1] (numeric) = 0.34936298199752858309331629494733
absolute error = 5.51351079835356e-18
relative error = 1.5781611339671250653830460324662e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.236
y[1] (analytic) = 0.3483438671543151510161012065489
y[1] (numeric) = 0.34834386715431515646082200905492
absolute error = 5.44472080250602e-18
relative error = 1.5630304753130696460899517107470e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.237
y[1] (analytic) = 0.34732404850467090099074684013802
y[1] (numeric) = 0.34732404850467090636670042794233
absolute error = 5.37595358780431e-18
relative error = 1.5478207198578168210719726080562e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.238
y[1] (analytic) = 0.34630352688516289828190949374022
y[1] (numeric) = 0.34630352688516290358911873403705
absolute error = 5.30720924029683e-18
relative error = 1.5325310972234898130217159200187e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.239
y[1] (analytic) = 0.34528230313341682928748265682208
y[1] (numeric) = 0.34528230313341683452597050284009
absolute error = 5.23848784601801e-18
relative error = 1.5171608270910606528546467904292e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.24
y[1] (analytic) = 0.34426037808811634129530244150598
y[1] (numeric) = 0.34426037808811634646509193249417
absolute error = 5.16978949098819e-18
relative error = 1.5017091190392345608255587454657e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.241
y[1] (analytic) = 0.34323775258900238633957432962418
y[1] (numeric) = 0.34323775258900239144068859083776
absolute error = 5.10111426121358e-18
relative error = 1.4861751723802143913045598972020e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.242
y[1] (analytic) = 0.34221442747687256364398404078849
y[1] (numeric) = 0.34221442747687256867644628347457
absolute error = 5.03246224268608e-18
relative error = 1.4705581759922095646393480672494e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.243
y[1] (analytic) = 0.34119040359358046065196789433185
y[1] (numeric) = 0.3411904035935804656158014157151
absolute error = 4.96383352138325e-18
relative error = 1.4548573081486999763185386662468e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.244
y[1] (analytic) = 0.34016568178203499264461980701246
y[1] (numeric) = 0.34016568178203499753984799028058
absolute error = 4.89522818326812e-18
relative error = 1.4390717363442890796879466372776e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.245
y[1] (analytic) = 0.33914026288619974094671383710893
y[1] (numeric) = 0.33914026288619974577336015139815
absolute error = 4.82664631428922e-18
relative error = 1.4232006171171796222636407352008e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.246
y[1] (analytic) = 0.33811414775109228972132295397676
y[1] (numeric) = 0.33811414775109229447941095435705
absolute error = 4.75808800038029e-18
relative error = 1.4072430958680340604912787299039e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.247
y[1] (analytic) = 0.33708733722278356135351648027679
y[1] (numeric) = 0.33708733722278356604306980773716
absolute error = 4.68955332746037e-18
relative error = 1.3911983066753435673849871151245e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.248
y[1] (analytic) = 0.33605983214839715042362042192719
y[1] (numeric) = 0.33605983214839715504466280336076
absolute error = 4.62104238143357e-18
relative error = 1.3750653721070158040581404163868e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.249
y[1] (analytic) = 0.33503163337610865627052666836568
y[1] (numeric) = 0.33503163337610866082308191655467
absolute error = 4.55255524818899e-18
relative error = 1.3588434030282335566951714326192e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.25
y[1] (analytic) = 0.3340027417551450141455388129389
y[1] (numeric) = 0.33400274175514501862963082653956
absolute error = 4.48409201360066e-18
relative error = 1.3425314984054577942693564771046e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=579.8MB, alloc=4.7MB, time=73.90
NO POLE
x[1] = 4.251
y[1] (analytic) = 0.33297315813578382495724411015806
y[1] (numeric) = 0.33297315813578382937289687368545
absolute error = 4.41565276352739e-18
relative error = 1.3261287451064513933092943551380e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.252
y[1] (analytic) = 0.33194288336935268360790285317133
y[1] (numeric) = 0.33194288336935268795514043698402
absolute error = 4.34723758381269e-18
relative error = 1.3096342176962778477438943020627e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.253
y[1] (analytic) = 0.33091191830822850592184822110317
y[1] (numeric) = 0.33091191830822851020069478138785
absolute error = 4.27884656028468e-18
relative error = 1.2930469782291554147459470541548e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.254
y[1] (analytic) = 0.32988026380583685416639141189573
y[1] (numeric) = 0.32988026380583685837687119065166
absolute error = 4.21047977875593e-18
relative error = 1.2763660760360500152820852807765e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.255
y[1] (analytic) = 0.32884792071665126116572864195574
y[1] (numeric) = 0.32884792071665126530786596697917
absolute error = 4.14213732502343e-18
relative error = 1.2595905475079661308971801734019e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.256
y[1] (analytic) = 0.32781488989619255300834835926045
y[1] (numeric) = 0.3278148898961925570821676441289
absolute error = 4.07381928486845e-18
relative error = 1.2427194158747594713861697506175e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.257
y[1] (analytic) = 0.32678117220102817034843878160474
y[1] (numeric) = 0.32678117220102817435396452566111
absolute error = 4.00552574405637e-18
relative error = 1.2257516909793884338627337124141e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.258
y[1] (analytic) = 0.32574676848877148830179763637752
y[1] (numeric) = 0.32574676848877149223905442471428
absolute error = 3.93725678833676e-18
relative error = 1.2086863690475804337390026822965e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.259
y[1] (analytic) = 0.32471167961808113493674774263729
y[1] (numeric) = 0.32471167961808113880576024608038
absolute error = 3.86901250344309e-18
relative error = 1.1915224324526111752423162292339e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.26
y[1] (analytic) = 0.32367590644866030836056384030922
y[1] (numeric) = 0.32367590644866031216135681540193
absolute error = 3.80079297509271e-18
relative error = 1.1742588494752762428331679473896e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.261
y[1] (analytic) = 0.32263944984125609240191783505184
y[1] (numeric) = 0.32263944984125609613451612403856
absolute error = 3.73259828898672e-18
relative error = 1.1568945740588200400326616984828e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.262
y[1] (analytic) = 0.32160231065765877088985139073362
y[1] (numeric) = 0.32160231065765877455427992154354
absolute error = 3.66442853080992e-18
relative error = 1.1394285455587580300993987116889e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.263
y[1] (analytic) = 0.3205644897607011405297865645199
y[1] (numeric) = 0.32056448976070114412607035075055
absolute error = 3.59628378623065e-18
relative error = 1.1218596884874077722727355547799e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.264
y[1] (analytic) = 0.319525988014257822377086942294
y[1] (numeric) = 0.31952598801425782590525108319468
absolute error = 3.52816414090068e-18
relative error = 1.1041869122530487227035565754727e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.265
y[1] (analytic) = 0.31848680628324457190868349452249
y[1] (numeric) = 0.3184868062832445753687531749777
absolute error = 3.46006968045521e-18
relative error = 1.0864091108935970065499343224442e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.266
y[1] (analytic) = 0.31744694543361758769328113472125
y[1] (numeric) = 0.31744694543361759108528162523383
absolute error = 3.39200049051258e-18
relative error = 1.0685251628045332000757727366834e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.267
y[1] (analytic) = 0.31640640633237281866066372438201
y[1] (numeric) = 0.3164064063323728219846203810564
absolute error = 3.32395665667439e-18
relative error = 1.0505339304611616379029886258641e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.268
y[1] (analytic) = 0.31536518984754526997061702958046
y[1] (numeric) = 0.31536518984754527322655529410564
absolute error = 3.25593826452518e-18
relative error = 1.0324342601347900394521512168069e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.269
y[1] (analytic) = 0.31432329684820830748199089549906
y[1] (numeric) = 0.31432329684820831066993629513159
absolute error = 3.18794539963253e-18
relative error = 1.0142249816029510741342172617217e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.27
y[1] (analytic) = 0.31328072820447296082242366576454
y[1] (numeric) = 0.31328072820447296394240181331132
absolute error = 3.11997814754678e-18
relative error = 9.9590490785326052611082035504395e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.271
y[1] (analytic) = 0.31223748478748722505925363381354
y[1] (numeric) = 0.31223748478748722811129022761456
absolute error = 3.05203659380102e-18
relative error = 9.7747283478095996240970074864902e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.272
y[1] (analytic) = 0.31119356746943536097214407346276
y[1] (numeric) = 0.31119356746943536395626489737376
absolute error = 2.98412082391100e-18
relative error = 9.5892754087987141360453354247603e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.273
y[1] (analytic) = 0.31014897712353719392795015546702
y[1] (numeric) = 0.310148977123537196844181078842
absolute error = 2.91623092337498e-18
relative error = 9.4026778692660319837922181761134e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.274
y[1] (analytic) = 0.30910371462404741135835781609909
y[1] (numeric) = 0.30910371462404741420672479377274
absolute error = 2.84836697767365e-18
relative error = 9.2149231565787690867759414754820e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.275
y[1] (analytic) = 0.30805778084625485884082640267666
y[1] (numeric) = 0.30805778084625486162135547494667
absolute error = 2.78052907227001e-18
relative error = 9.0259985144076377531918060878806e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.276
y[1] (analytic) = 0.30701117666648183478336867949208
y[1] (numeric) = 0.30701117666648183749608597210136
absolute error = 2.71271729260928e-18
relative error = 8.8358909993567112188869828710268e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.277
y[1] (analytic) = 0.30596390296208338371370353576766
y[1] (numeric) = 0.30596390296208338635863525988647
absolute error = 2.64493172411881e-18
relative error = 8.6445874775188219060547303599571e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=583.6MB, alloc=4.7MB, time=74.38
x[1] = 4.278
y[1] (analytic) = 0.30491596061144658817331849506094
y[1] (numeric) = 0.30491596061144659075049094726891
absolute error = 2.57717245220797e-18
relative error = 8.4520746209545010698392965857144e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.279
y[1] (analytic) = 0.30386735049398985921698088297867
y[1] (numeric) = 0.30386735049398986172642044524667
absolute error = 2.50943956226800e-18
relative error = 8.2583389040924085045704151252505e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.28
y[1] (analytic) = 0.30281807349016222551823826712258
y[1] (numeric) = 0.30281807349016222795997140679455
absolute error = 2.44173313967197e-18
relative error = 8.0633666000497013999234058835190e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.281
y[1] (analytic) = 0.30176813048144262108145053988329
y[1] (numeric) = 0.30176813048144262345550380965798
absolute error = 2.37405326977469e-18
relative error = 7.8671437768697167578273467135793e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.282
y[1] (analytic) = 0.30071752235033917156089777101755
y[1] (numeric) = 0.30071752235033917386729780893005
absolute error = 2.30640003791250e-18
relative error = 7.6696562936745633595545117894191e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.283
y[1] (analytic) = 0.29966624998038847918750971288682
y[1] (numeric) = 0.29966624998038848142628324229011
absolute error = 2.23877352940329e-18
relative error = 7.4708897967315488839214362695343e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.284
y[1] (analytic) = 0.29861431425615490630376459680076
y[1] (numeric) = 0.29861431425615490847493842634709
absolute error = 2.17117382954633e-18
relative error = 7.2708297154297543000348733475548e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.285
y[1] (analytic) = 0.29756171606322985750730661409342
y[1] (numeric) = 0.29756171606322985961090763771558
absolute error = 2.10360102362216e-18
relative error = 7.0694612581652102449657509687553e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.286
y[1] (analytic) = 0.29650845628823106040383323036264
y[1] (numeric) = 0.2965084562882310624398884272552
absolute error = 2.03605519689256e-18
relative error = 6.8667694081323055823589168381469e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.287
y[1] (analytic) = 0.29545453581880184496980523572137
y[1] (numeric) = 0.29545453581880184693834167032171
absolute error = 1.96853643460034e-18
relative error = 6.6627389190180380225197921229757e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.288
y[1] (analytic) = 0.29439995554361042152553418794049
y[1] (numeric) = 0.29439995554361042342657900990983
absolute error = 1.90104482196934e-18
relative error = 6.4573543105978222764204995098176e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.289
y[1] (analytic) = 0.29334471635234915731920365900626
y[1] (numeric) = 0.29334471635234915915278410321048
absolute error = 1.83358044420422e-18
relative error = 6.2505998642287676492508046948824e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.29
y[1] (analytic) = 0.29228881913573385172238244886678
y[1] (numeric) = 0.29228881913573385348852583535727
absolute error = 1.76614338649049e-18
relative error = 6.0424596182391899230994468399938e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.291
y[1] (analytic) = 0.29123226478550301003758968300158
y[1] (numeric) = 0.2912322647855030117363234169959
absolute error = 1.69873373399432e-18
relative error = 5.8329173632099562083480510995751e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.292
y[1] (analytic) = 0.29017505419441711591847346291206
y[1] (numeric) = 0.29017505419441711754982503477443
absolute error = 1.63135157186237e-18
relative error = 5.6219566371455397567960626432946e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.293
y[1] (analytic) = 0.2891171882562579024031664906973
y[1] (numeric) = 0.28911718825625790396716347591916
absolute error = 1.56399698522186e-18
relative error = 5.4095607205325243991850576617741e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.294
y[1] (analytic) = 0.28805866786582762156138384054811
y[1] (numeric) = 0.28805866786582762305805389972846
absolute error = 1.49667005918035e-18
relative error = 5.1957126312806220482227660841550e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.295
y[1] (analytic) = 0.28699949391894831275582980125767
y[1] (numeric) = 0.2869994939189483141852006800833
absolute error = 1.42937087882563e-18
relative error = 4.9803951195443551115867149203951e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.296
y[1] (analytic) = 0.28593966731246106951848246471009
y[1] (numeric) = 0.2859396673124610708805819939358
absolute error = 1.36209952922571e-18
relative error = 4.7635906624220604092378223544074e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.297
y[1] (analytic) = 0.28487918894422530504232648576585
y[1] (numeric) = 0.28487918894422530633718258119446
absolute error = 1.29485609542861e-18
relative error = 4.5452814585277469560830378682261e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.298
y[1] (analytic) = 0.28381805971311801628910618901172
y[1] (numeric) = 0.28381805971311801751674685147402
absolute error = 1.22764066246230e-18
relative error = 4.3254494224334896473778286688328e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.299
y[1] (analytic) = 0.28275628051903304671367294748291
y[1] (numeric) = 0.28275628051903304787412626281756
absolute error = 1.16045331533465e-18
relative error = 4.1040761789782311355911153685298e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3
y[1] (analytic) = 0.28169385226288034760550250769287
y[1] (numeric) = 0.28169385226288034869879664672609
absolute error = 1.09329413903322e-18
relative error = 3.8811430574386258311162973351620e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.301
y[1] (analytic) = 0.28063077584658523804795968411905
y[1] (numeric) = 0.2806307758465852390741229026443
absolute error = 1.02616321852525e-18
relative error = 3.6566310855593086751736456214018e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.302
y[1] (analytic) = 0.27956705217308766349588959469118
y[1] (numeric) = 0.27956705217308766445495023344871
absolute error = 9.5906063875753e-19
relative error = 3.4305209834374514862473499041410e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.303
y[1] (analytic) = 0.27850268214634145297211635680711
y[1] (numeric) = 0.27850268214634145386410284146336
absolute error = 8.9198648465625e-19
relative error = 3.2027931572578126762805815240547e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.304
y[1] (analytic) = 0.27743766667131357488343191095987
y[1] (numeric) = 0.27743766667131357570837275208686
absolute error = 8.2494084112699e-19
relative error = 2.9734276928745775486698770859941e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=587.4MB, alloc=4.7MB, time=74.87
x[1] = 4.305
y[1] (analytic) = 0.27637200665398339145665938619632
y[1] (numeric) = 0.27637200665398339221458317925085
absolute error = 7.5792379305453e-19
relative error = 2.7424043492344268143502805099094e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.306
y[1] (analytic) = 0.2753057030013419117953771683384
y[1] (numeric) = 0.27530570300134191248631259364119
absolute error = 6.9093542530279e-19
relative error = 2.5097025516373781786244712312333e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.307
y[1] (analytic) = 0.27423875662139104355789157818336
y[1] (numeric) = 0.27423875662139104418186740089808
absolute error = 6.2397582271472e-19
relative error = 2.2753013848300423958739956414768e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.308
y[1] (analytic) = 0.27317116842314284325704781275495
y[1] (numeric) = 0.27317116842314284381409288286712
absolute error = 5.5704507011217e-19
relative error = 2.0391795859265270341389758573684e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.309
y[1] (analytic) = 0.2721029393166187651824705481022
y[1] (numeric) = 0.27210293931661876567261380039809
absolute error = 4.9014325229589e-19
relative error = 1.8013155371525027847008147099791e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.31
y[1] (analytic) = 0.27103407021284890894582734713482
y[1] (numeric) = 0.27103407021284890936909780118008
absolute error = 4.2327045404526e-19
relative error = 1.5616872584057663707508516933328e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.311
y[1] (analytic) = 0.26996456202387126564970976053982
y[1] (numeric) = 0.26996456202387126600613652065816
absolute error = 3.5642676011834e-19
relative error = 1.3202723996300796947506413861257e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.312
y[1] (analytic) = 0.26889441566273096268072875294424
y[1] (numeric) = 0.26889441566273096297034100819592
absolute error = 2.8961225525168e-19
relative error = 1.0770482329946748343354818494701e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.313
y[1] (analytic) = 0.26782363204347950712742283016785
y[1] (numeric) = 0.26782363204347950735024985432809
absolute error = 2.2282702416024e-19
relative error = 8.3199164487495791016194950023841e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.314
y[1] (analytic) = 0.26675221208117402782357898664839
y[1] (numeric) = 0.2667522120811740279796501381857
absolute error = 1.5607115153731e-19
relative error = 5.8507912762806544455168039845588e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.315
y[1] (analytic) = 0.2656801566918765160175683349164
y[1] (numeric) = 0.26568015669187651610691305697077
absolute error = 8.934472205437e-20
relative error = 3.3628677115689844893484560119543e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.316
y[1] (analytic) = 0.26460746679265306466830002134538
y[1] (numeric) = 0.26460746679265306469094784170641
absolute error = 2.264782036103e-20
relative error = 8.5590254256796452816683865238143e-18 %
Correct digits = 19
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.317
y[1] (analytic) = 0.2635341433015731063683987743043
y[1] (numeric) = 0.26353414330157310632437930538915
absolute error = 4.401946891515e-20
relative error = 1.6703516426247921371087159086161e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.318
y[1] (analytic) = 0.26246018713770864989521317228989
y[1] (numeric) = 0.26246018713770864978455611112126
absolute error = 1.1065706116863e-19
relative error = 4.2161465468501710366947876024832e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.319
y[1] (analytic) = 0.26138559922113351539026346061585
y[1] (numeric) = 0.26138559922113351521299858879972
absolute error = 1.7726487181613e-19
relative error = 6.7817382573614179054027777248951e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.32
y[1] (analytic) = 0.26031038047292256816773948577981
y[1] (numeric) = 0.26031038047292256792389666948313
absolute error = 2.4384281629668e-19
relative error = 9.3673873417446938586164909912724e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.321
y[1] (analytic) = 0.25923453181515095115266105671787
y[1] (numeric) = 0.25923453181515095084227024664619
absolute error = 3.1039081007168e-19
relative error = 1.1973358946369320938863751952266e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.322
y[1] (analytic) = 0.25815805417089331594931478178637
y[1] (numeric) = 0.2581580541708933155724060131613
absolute error = 3.7690876862507e-19
relative error = 1.4599922897449756742629007440605e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.323
y[1] (analytic) = 0.25708094846422305254058316947961
y[1] (numeric) = 0.25708094846422305209718656201622
absolute error = 4.4339660746339e-19
relative error = 1.7247353804791791760827461315063e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.324
y[1] (analytic) = 0.2560032156202115176187835195993
y[1] (numeric) = 0.25600321562021151710892927748343
absolute error = 5.0985424211587e-19
relative error = 1.9915931168312124929016632403837e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.325
y[1] (analytic) = 0.25492485656492726154863586983344
y[1] (numeric) = 0.25492485656492726097235428169883
absolute error = 5.7628158813461e-19
relative error = 2.2605939487420514658003201637430e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.326
y[1] (analytic) = 0.25384587222543525396298100047711
y[1] (numeric) = 0.25384587222543525332030243938254
absolute error = 6.4267856109457e-19
relative error = 2.5317668373343510587025711471864e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.327
y[1] (analytic) = 0.25276626352979610799187123733448
y[1] (numeric) = 0.25276626352979610728282616074068
absolute error = 7.0904507659380e-19
relative error = 2.8051412664499734866413537065761e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.328
y[1] (analytic) = 0.25168603140706530312565852967558
y[1] (numeric) = 0.25168603140706530235027747942216
absolute error = 7.7538105025342e-19
relative error = 3.0807472545004084274873839126117e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.329
y[1] (analytic) = 0.25060517678729240671270601648409
y[1] (numeric) = 0.25060517678729240587101961876628
absolute error = 8.4168639771781e-19
relative error = 3.3586153666418989876498872742459e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.33
y[1] (analytic) = 0.2495237006015202940923510301183
y[1] (numeric) = 0.24952370060152029318438999546366
absolute error = 9.0796103465464e-19
relative error = 3.6387767272841896495908470469585e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.331
y[1] (analytic) = 0.24844160378178436736374922191719
y[1] (numeric) = 0.24844160378178436638954434516215
absolute error = 9.7420487675504e-19
relative error = 3.9212630329448400013839941953498e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.332
y[1] (analytic) = 0.24735888726111177279123122921278
y[1] (numeric) = 0.2473588872611117717508133894791
absolute error = 1.04041783973368e-18
relative error = 4.2061065654593443337415798570853e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
memory used=591.3MB, alloc=4.7MB, time=75.36
NO POLE
x[1] = 4.333
y[1] (analytic) = 0.24627555197352061684680503765834
y[1] (numeric) = 0.24627555197352061574020519832949
absolute error = 1.10659983932885e-18
relative error = 4.4933402055589784118752152955712e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.334
y[1] (analytic) = 0.24519159885401918089043892674632
y[1] (numeric) = 0.24519159885401917971768813544372
absolute error = 1.17275079130260e-18
relative error = 4.7829974468286162002107612144884e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.335
y[1] (analytic) = 0.24410702883860513448876161986833
y[1] (numeric) = 0.24410702883860513324989100842756
absolute error = 1.23887061144077e-18
relative error = 5.0751124100562752942089571743344e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.336
y[1] (analytic) = 0.24302184286426474737281799326043
y[1] (numeric) = 0.24302184286426474606785877770724
absolute error = 1.30495921555319e-18
relative error = 5.3697198579884454314720077647161e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.337
y[1] (analytic) = 0.24193604186897210003552043067714
y[1] (numeric) = 0.24193604186897209866450391120339
absolute error = 1.37101651947375e-18
relative error = 5.6668552105033864182792059052267e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.338
y[1] (analytic) = 0.24084962679168829296943764264644
y[1] (numeric) = 0.24084962679168829153239520358602
absolute error = 1.43704243906042e-18
relative error = 5.9665545602166249795757890541102e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.339
y[1] (analytic) = 0.23976259857236065454556450067236
y[1] (numeric) = 0.23976259857236065304252761047686
absolute error = 1.50303689019550e-18
relative error = 6.2688546885342568202380835355596e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.34
y[1] (analytic) = 0.23867495815192194753371816776908
y[1] (numeric) = 0.2386749581519219459647183789835
absolute error = 1.56899978878558e-18
relative error = 6.5737930821669048006013267827697e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.341
y[1] (analytic) = 0.23758670647228957426520753723067
y[1] (numeric) = 0.23758670647228957263027648646893
absolute error = 1.63493105076174e-18
relative error = 6.8814079501221030813551387533916e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.342
y[1] (analytic) = 0.23649784447636478043842472155898
y[1] (numeric) = 0.2364978444763647787375941294794
absolute error = 1.70083059207958e-18
relative error = 7.1917382411895864546025200734755e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.343
y[1] (analytic) = 0.23540837310803185756800906298874
y[1] (numeric) = 0.23540837310803185580131073426935
absolute error = 1.76669832871939e-18
relative error = 7.5048236619375894462366219144914e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.344
y[1] (analytic) = 0.23431829331215734407823586606036
y[1] (numeric) = 0.23431829331215734224570168937411
absolute error = 1.83253417668625e-18
relative error = 7.8207046952367461703671094054183e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.345
y[1] (analytic) = 0.23322760603458922504128378119547
y[1] (numeric) = 0.23322760603458922314294572918545
absolute error = 1.89833805201002e-18
relative error = 8.1394226193295646112917447604128e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.346
y[1] (analytic) = 0.23213631222215613056103649622647
y[1] (numeric) = 0.23213631222215612859692662548089
absolute error = 1.96410987074558e-18
relative error = 8.4610195274658823785259848254946e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.347
y[1] (analytic) = 0.23104441282266653280307612031526
y[1] (numeric) = 0.23104441282266653077322657134239
absolute error = 2.02984954897287e-18
relative error = 8.7855383481220122663775975870255e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.348
y[1] (analytic) = 0.22995190878490794167152737166852
y[1] (numeric) = 0.22995190878490793957597036887151
absolute error = 2.09555700279701e-18
relative error = 9.1130228658251706264581277776150e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.349
y[1] (analytic) = 0.22885880105864609913341340691278
y[1] (numeric) = 0.22885880105864609697218125856441
absolute error = 2.16123214834837e-18
relative error = 9.4435177426038534663961034058995e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.35
y[1] (analytic) = 0.22776509059462417219118585593169
y[1] (numeric) = 0.22776509059462416996431095414899
absolute error = 2.22687490178270e-18
relative error = 9.7770685400867126428130512416371e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.351
y[1] (analytic) = 0.22667077834456194450409335138709
y[1] (numeric) = 0.22667077834456194221160817210588
absolute error = 2.29248517928121e-18
relative error = 1.0113721742272426357089954968724e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.352
y[1] (analytic) = 0.22557586526115500665905456704375
y[1] (numeric) = 0.22557586526115500430099166999303
absolute error = 2.35806289705072e-18
relative error = 1.0453524778994994285984319935877e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.353
y[1] (analytic) = 0.22448035229807394509170350339147
y[1] (numeric) = 0.22448035229807394266809553206774
absolute error = 2.42360797132373e-18
relative error = 1.0796526050108683395857993835418e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.354
y[1] (analytic) = 0.2233842404099635296582764829071
y[1] (numeric) = 0.22338424040996352716915616454865
absolute error = 2.48912031835845e-18
relative error = 1.1142774950418698522055645564450e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.355
y[1] (analytic) = 0.22228753055244189985901204061979
y[1] (numeric) = 0.22228753055244189730441218618071
absolute error = 2.55459985443908e-18
relative error = 1.1492321895385853890777033943504e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.356
y[1] (analytic) = 0.22119022368209974971373661843283
y[1] (numeric) = 0.22119022368209974709369012255709
absolute error = 2.62004649587574e-18
relative error = 1.1845218347630670501094249624521e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.357
y[1] (analytic) = 0.2200923207564995112903106939151
y[1] (numeric) = 0.22009232075649950860485053491048
absolute error = 2.68546015900462e-18
relative error = 1.2201516844268707196644703601015e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.358
y[1] (analytic) = 0.21899382273417453688661169599899
y[1] (numeric) = 0.21899382273417453413577093581083
absolute error = 2.75084076018816e-18
relative error = 1.2561271025106793480388710411269e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.359
y[1] (analytic) = 0.21789473057462827986673178121007
y[1] (numeric) = 0.21789473057462827705054356539503
absolute error = 2.81618821581504e-18
relative error = 1.2924535661730948263977349165937e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=595.1MB, alloc=4.7MB, time=75.86
NO POLE
x[1] = 4.36
y[1] (analytic) = 0.21679504523833347415207026470415
y[1] (numeric) = 0.21679504523833347127056782240379
absolute error = 2.88150244230036e-18
relative error = 1.3291366687520844404603726322187e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.361
y[1] (analytic) = 0.2156947676867313123680022204964
y[1] (numeric) = 0.21569476768673130942121886441072
absolute error = 2.94678335608568e-18
relative error = 1.3661821228623870964519489663179e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.362
y[1] (analytic) = 0.21459389888223062264680648483482
y[1] (numeric) = 0.2145938988822306196347756111956
absolute error = 3.01203087363922e-18
relative error = 1.4035957635926201198007175167679e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.363
y[1] (analytic) = 0.21349243978820704408753801569205
y[1] (numeric) = 0.21349243978820704101029310423621
absolute error = 3.07724491145584e-18
relative error = 1.4413835518056699480343478198963e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.364
y[1] (analytic) = 0.21239039136900220087353127982608
y[1] (numeric) = 0.21239039136900219773110589376888
absolute error = 3.14242538605720e-18
relative error = 1.4795515775464729549815005249859e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.365
y[1] (analytic) = 0.21128775458992287504822305678669
y[1] (numeric) = 0.21128775458992287184065084279479
absolute error = 3.20757221399190e-18
relative error = 1.5181060635611873007833853645727e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.366
y[1] (analytic) = 0.21018453041724017794998476662055
y[1] (numeric) = 0.21018453041724017467729945478505
absolute error = 3.27268531183550e-18
relative error = 1.5570533689319797954169008913227e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.367
y[1] (analytic) = 0.20908071981818872030665614485149
y[1] (numeric) = 0.20908071981818871696889154866075
absolute error = 3.33776459619074e-18
relative error = 1.5963999928320388680469339505170e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.368
y[1] (analytic) = 0.20797632376096578099047380457932
y[1] (numeric) = 0.20797632376096577758766382089187
absolute error = 3.40280998368745e-18
relative error = 1.6361525784052296922005249702880e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.369
y[1] (analytic) = 0.20687134321473047443408994125288
y[1] (numeric) = 0.20687134321473047096626855027001
absolute error = 3.46782139098287e-18
relative error = 1.6763179167755993077707735623587e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.37
y[1] (analytic) = 0.20576577914960291670837815082275
y[1] (numeric) = 0.20576577914960291317557941606115
absolute error = 3.53279873476160e-18
relative error = 1.7169029511914433099030420839935e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.371
y[1] (analytic) = 0.20465963253666339026272504657077
y[1] (numeric) = 0.204659632536663386664983114835
absolute error = 3.59774193173577e-18
relative error = 1.7579147813095280737603973696610e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.372
y[1] (analytic) = 0.20355290434795150732850807393913
y[1] (numeric) = 0.20355290434795150366585717529403
absolute error = 3.66265089864510e-18
relative error = 1.7993606676248634776161097414309e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.373
y[1] (analytic) = 0.2024455955564653719864616361436
y[1] (numeric) = 0.20244559555646536825893608388655
absolute error = 3.72752555225705e-18
relative error = 1.8412480360519290464137852825679e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.374
y[1] (analytic) = 0.20133770713616074089863535624862
y[1] (numeric) = 0.20133770713616073710626954688174
absolute error = 3.79236580936688e-18
relative error = 1.8835844826633380765351971750937e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.375
y[1] (analytic) = 0.20022924006195018270565001370607
y[1] (numeric) = 0.20022924006195017884847842690827
absolute error = 3.85717158679780e-18
relative error = 1.9263777785923801371672680814377e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.376
y[1] (analytic) = 0.19912019530970223608995840511123
y[1] (numeric) = 0.19912019530970223216801560371023
absolute error = 3.92194280140100e-18
relative error = 1.9696358751059849313459864169249e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.377
y[1] (analytic) = 0.19801057385624056650582009010789
y[1] (numeric) = 0.19801057385624056251914072005211
absolute error = 3.98667937005578e-18
relative error = 2.0133669088551729880493545030413e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.378
y[1] (analytic) = 0.19690037667934312157670069397658
y[1] (numeric) = 0.19690037667934311752531948430687
absolute error = 4.05138120966971e-18
relative error = 2.0575792073102426092601591263108e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.379
y[1] (analytic) = 0.19578960475774128516080814846359
y[1] (numeric) = 0.19578960475774128104475991128492
absolute error = 4.11604823717867e-18
relative error = 2.1022812943882437712102676984304e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.38
y[1] (analytic) = 0.194678259071119030085479961853
y[1] (numeric) = 0.19467825907111902590479959230608
absolute error = 4.18068036954692e-18
relative error = 2.1474818962808023180974823744498e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.381
y[1] (analytic) = 0.19356634060011206955113731814512
y[1] (numeric) = 0.19356634060011206530585979437781
absolute error = 4.24527752376731e-18
relative error = 2.1931899474907220010079884541310e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.382
y[1] (analytic) = 0.19245385032630700720552351348198
y[1] (numeric) = 0.1924538503263070028956838966207
absolute error = 4.30983961686128e-18
relative error = 2.2394145970859576201386352681839e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.383
y[1] (analytic) = 0.19134078923224048588894594565187
y[1] (numeric) = 0.19134078923224048151457937977287
absolute error = 4.37436656587900e-18
relative error = 2.2861652151803339726173731655955e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.384
y[1] (analytic) = 0.1902271583013983350512425796069
y[1] (numeric) = 0.19022715830139833061238429170738
absolute error = 4.43885828789952e-18
relative error = 2.3334513996505884465893192354917e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.385
y[1] (analytic) = 0.18911295851821471684119551843922
y[1] (numeric) = 0.18911295851821471233788081840852
absolute error = 4.50331470003070e-18
relative error = 2.3812829830997308666401146120753e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.386
y[1] (analytic) = 0.18799819086807127086911601518159
y[1] (numeric) = 0.18799819086807126630138029577199
absolute error = 4.56773571940960e-18
relative error = 2.4296700400776903251948506382055e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=598.9MB, alloc=4.7MB, time=76.36
x[1] = 4.387
y[1] (analytic) = 0.18688285633729625764332696612066
y[1] (numeric) = 0.1868828563372962530112057029184
absolute error = 4.63212126320226e-18
relative error = 2.4786228945698249257948384546482e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.388
y[1] (analytic) = 0.18576695591316370068127063104089
y[1] (numeric) = 0.18576695591316369598479938243682
absolute error = 4.69647124860407e-18
relative error = 2.5281521277656203554842010945406e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.389
y[1] (analytic) = 0.1846504905838925272959710299437
y[1] (numeric) = 0.18465049058389252253518543710401
absolute error = 4.76078559283969e-18
relative error = 2.5782685861193070172897342069368e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.39
y[1] (analytic) = 0.18353346133864570805858216931543
y[1] (numeric) = 0.1835334613386457032335179561522
absolute error = 4.82506421316323e-18
relative error = 2.6289833897156718388015624104076e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.391
y[1] (analytic) = 0.18241586916752939493775495394141
y[1] (numeric) = 0.18241586916752939004844792708304
absolute error = 4.88930702685837e-18
relative error = 2.6803079409544497052777859449980e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.392
y[1] (analytic) = 0.18129771506159205811655734258292
y[1] (numeric) = 0.18129771506159205316304339134452
absolute error = 4.95351395123840e-18
relative error = 2.7322539335675292815164070425145e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.393
y[1] (analytic) = 0.18017900001282362148768400754606
y[1] (numeric) = 0.18017900001282361646999910389971
absolute error = 5.01768490364635e-18
relative error = 2.7848333619840455938796535497312e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.394
y[1] (analytic) = 0.17905972501415459682769345927404
y[1] (numeric) = 0.17905972501415459174587365781893
absolute error = 5.08181980145511e-18
relative error = 2.8380585310590610240212479711513e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.395
y[1] (analytic) = 0.17793989105945521665101229758571
y[1] (numeric) = 0.17793989105945521150509373551821
absolute error = 5.14591856206750e-18
relative error = 2.8919420661823882870252514654450e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.396
y[1] (analytic) = 0.17681949914353456574444795106119
y[1] (numeric) = 0.17681949914353456053446684814479
absolute error = 5.20998110291640e-18
relative error = 2.9464969237850619833345381043306e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.397
y[1] (analytic) = 0.17569855026213971138295296533728
y[1] (numeric) = 0.17569855026213970610894562387246
absolute error = 5.27400734146482e-18
relative error = 3.0017364022617584827159872894912e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.398
y[1] (analytic) = 0.17457704541195483222738559972034
y[1] (numeric) = 0.17457704541195482688938840451432
absolute error = 5.33799719520602e-18
relative error = 3.0576741533285682385076248678688e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.399
y[1] (analytic) = 0.17345498559060034590501318954883
y[1] (numeric) = 0.17345498559060034050306260788521
absolute error = 5.40195058166362e-18
relative error = 3.1143241938364645666414988384925e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4
y[1] (analytic) = 0.17233237179663203527350642914081
y[1] (numeric) = 0.17233237179663202980763901074914
absolute error = 5.46586741839167e-18
relative error = 3.1717009180619260577891021772235e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.401
y[1] (analytic) = 0.17120920502954017336917442694099
y[1] (numeric) = 0.17120920502954016783942680396619
absolute error = 5.52974762297480e-18
relative error = 3.2298191104974208806403455462055e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.402
y[1] (analytic) = 0.17008548628974864704019208063473
y[1] (numeric) = 0.17008548628974864144660096760648
absolute error = 5.59359111302825e-18
relative error = 3.2886939591655126575734981032830e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.403
y[1] (analytic) = 0.16896121657861407926557301552197
y[1] (numeric) = 0.16896121657861407360817520932394
absolute error = 5.65739780619803e-18
relative error = 3.3483410694819201290230696645518e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.404
y[1] (analytic) = 0.16783639689842495016064302433866
y[1] (numeric) = 0.16783639689842494443947540417765
absolute error = 5.72116762016101e-18
relative error = 3.4087764786939965156340341835595e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.405
y[1] (analytic) = 0.16671102825240071666977064097625
y[1] (numeric) = 0.16671102825240071088487016835124
absolute error = 5.78490047262501e-18
relative error = 3.4700166709227316707749583053278e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.406
y[1] (analytic) = 0.16558511164469093094711317417832
y[1] (numeric) = 0.16558511164469092509851689284943
absolute error = 5.84859628132889e-18
relative error = 3.5320785928379150212663447631401e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.407
y[1] (analytic) = 0.16445864808037435742613822028571
y[1] (numeric) = 0.16445864808037435151388325624301
absolute error = 5.91225496404270e-18
relative error = 3.5949796699978089268002232242807e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.408
y[1] (analytic) = 0.16333163856545808857868236645486
y[1] (numeric) = 0.16333163856545808260280592788717
absolute error = 5.97587643856769e-18
relative error = 3.6587378238863073392720206503436e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.409
y[1] (analytic) = 0.16220408410687665936431048748814
y[1] (numeric) = 0.16220408410687665332484986475162
absolute error = 6.03946062273652e-18
relative error = 3.7233714896827782314678859151106e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.41
y[1] (analytic) = 0.1610759857124911603707407304847
y[1] (numeric) = 0.16107598571249115426773329607143
absolute error = 6.10300743441327e-18
relative error = 3.7888996348013610015925248699060e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.411
y[1] (analytic) = 0.15994734439108834964610197194726
y[1] (numeric) = 0.15994734439108834347958518045365
absolute error = 6.16651679149361e-18
relative error = 3.8553417782391044056774122194493e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.412
y[1] (analytic) = 0.1588181611523797632237922217591
y[1] (numeric) = 0.15881816115237975699380360985427
absolute error = 6.22998861190483e-18
relative error = 3.9227180107742222145773290591608e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.413
y[1] (analytic) = 0.15768843700700082434070813757639
y[1] (numeric) = 0.15768843700700081804728532397037
absolute error = 6.29342281360602e-18
relative error = 3.9910490160585545464149537400054e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=602.7MB, alloc=4.7MB, time=76.85
x[1] = 4.414
y[1] (analytic) = 0.15655817296650995134961750166052
y[1] (numeric) = 0.15655817296650994499279818707243
absolute error = 6.35681931458809e-18
relative error = 4.0603560926505607796071066019783e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.415
y[1] (analytic) = 0.15542737004338766432644820000213
y[1] (numeric) = 0.15542737004338765790627016712819
absolute error = 6.42017803287394e-18
relative error = 4.1306611770383444010174584563165e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.416
y[1] (analytic) = 0.15429602925103569037326893076006
y[1] (numeric) = 0.15429602925103568388977004424153
absolute error = 6.48349888651853e-18
relative error = 4.2019868677048346184353647886116e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.417
y[1] (analytic) = 0.15316415160377606761773855555348
y[1] (numeric) = 0.15316415160377606107095676194452
absolute error = 6.54678179360896e-18
relative error = 4.2743564502906549643394854142718e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.418
y[1] (analytic) = 0.15203173811685024790980269300093
y[1] (numeric) = 0.15203173811685024129977602073633
absolute error = 6.61002667226460e-18
relative error = 4.3477939239135660090261283772527e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.419
y[1] (analytic) = 0.15089878980641819821641783909447
y[1] (numeric) = 0.15089878980641819154318439845727
absolute error = 6.67323344063720e-18
relative error = 4.4223240287069329949426235226004e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.42
y[1] (analytic) = 0.1497653076895575007150849835282
y[1] (numeric) = 0.14976530768955749397868296661725
absolute error = 6.73640201691095e-18
relative error = 4.4979722746435827091185095766752e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.421
y[1] (analytic) = 0.14863129278426245158697637496644
y[1] (numeric) = 0.14863129278426244478744405566386
absolute error = 6.79953231930258e-18
relative error = 4.5747649717156573452113565422501e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.422
y[1] (analytic) = 0.14749674610944315851044077143525
y[1] (numeric) = 0.14749674610944315164781650537367
absolute error = 6.86262426606158e-18
relative error = 4.6527292615455300547613878646539e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.423
y[1] (analytic) = 0.14636166868492463685567419454942
y[1] (numeric) = 0.14636166868492462992999641907933
absolute error = 6.92567777547009e-18
relative error = 4.7318931505072680795695587111796e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.424
y[1] (analytic) = 0.1452260615314459045813448881456
y[1] (numeric) = 0.14522606153144589759265212230244
absolute error = 6.98869276584316e-18
relative error = 4.8122855444440275477086306220726e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.425
y[1] (analytic) = 0.14408992567065907583396286307489
y[1] (numeric) = 0.14408992567065906878229370754604
absolute error = 7.05166915552885e-18
relative error = 4.8939362850714386440529518913687e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.426
y[1] (analytic) = 0.14295326212512845325078609041692
y[1] (numeric) = 0.14295326212512844613617922750873
absolute error = 7.11460686290819e-18
relative error = 4.9768761881633045949973318058433e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.427
y[1] (analytic) = 0.14181607191832961896705708520834
y[1] (numeric) = 0.14181607191832961178955127881286
absolute error = 7.17750580639548e-18
relative error = 5.0611370836226023386081050171824e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.428
y[1] (analytic) = 0.14067835607464852432836530192815
y[1] (numeric) = 0.14067835607464851708799939748995
absolute error = 7.24036590443820e-18
relative error = 5.1467518575467470543220048984714e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.429
y[1] (analytic) = 0.13954011561938057830893244145248
y[1] (numeric) = 0.13954011561938057100574536593525
absolute error = 7.30318707551723e-18
relative error = 5.2337544964044003639388359849284e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.43
y[1] (analytic) = 0.1384013515787297346366194469752
y[1] (numeric) = 0.13840135157872972727065020882827
absolute error = 7.36596923814693e-18
relative error = 5.3221801334481850808034668111416e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.431
y[1] (analytic) = 0.1372620649798075776254556434903
y[1] (numeric) = 0.1372620649798075701967433326151
absolute error = 7.42871231087520e-18
relative error = 5.4120650974965494243961717234235e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.432
y[1] (analytic) = 0.13612225685063240671649215184274
y[1] (numeric) = 0.13612225685063239922507593955912
absolute error = 7.49141621228362e-18
relative error = 5.5034469642271552095263722020126e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.433
y[1] (analytic) = 0.13498192822012831972778338407515
y[1] (numeric) = 0.13498192822012831217370252308762
absolute error = 7.55408086098753e-18
relative error = 5.5963646101338444490673246416936e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.434
y[1] (analytic) = 0.13384108011812429481430210182659
y[1] (numeric) = 0.13384108011812428719759592619045
absolute error = 7.61670617563614e-18
relative error = 5.6908582693100308219988428973881e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.435
y[1] (analytic) = 0.13269971357535327113859519387379
y[1] (numeric) = 0.13269971357535326345930311896117
absolute error = 7.67929207491262e-18
relative error = 5.7869695932327307637354326313175e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.436
y[1] (analytic) = 0.13155782962345122825298900254369
y[1] (numeric) = 0.13155782962345122051115052500947
absolute error = 7.74183847753422e-18
relative error = 5.8847417137339089916191535628793e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.437
y[1] (analytic) = 0.13041542929495626419415470166576
y[1] (numeric) = 0.13041542929495625638980939941342
absolute error = 7.80434530225234e-18
relative error = 5.9842193093591021994254580579740e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.438
y[1] (analytic) = 0.1292725136233076722908459009721
y[1] (numeric) = 0.12927251362330766442403343311945
absolute error = 7.86681246785265e-18
relative error = 6.0854486753278955081190214920620e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.439
y[1] (analytic) = 0.12812908364284501668562232339031
y[1] (numeric) = 0.12812908364284500875638243023511
absolute error = 7.92923989315520e-18
relative error = 6.1884777973263719300880749589718e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.44
y[1] (analytic) = 0.12698514038880720657137507250654
y[1] (numeric) = 0.12698514038880719857974757549205
absolute error = 7.99162749701449e-18
relative error = 6.2933564293786396324427237886524e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.441
y[1] (analytic) = 0.12584068489733156914347067760223
y[1] (numeric) = 0.12584068489733156108949547928263
memory used=606.5MB, alloc=4.7MB, time=77.33
absolute error = 8.05397519831960e-18
relative error = 6.4001361760630271399468214881574e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.442
y[1] (analytic) = 0.12469571820545292126833277308521
y[1] (numeric) = 0.12469571820545291315204985709098
absolute error = 8.11628291599423e-18
relative error = 6.5088705793582785682611496764236e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.443
y[1] (analytic) = 0.12355024135110263986928193784273
y[1] (numeric) = 0.12355024135110263169073136884579
absolute error = 8.17855056899694e-18
relative error = 6.6196152104270652511329794606290e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.444
y[1] (analytic) = 0.12240425537310773103045588803741
y[1] (numeric) = 0.12240425537310772278967781171636
absolute error = 8.24077807632105e-18
relative error = 6.7324277666669688210793633296308e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.445
y[1] (analytic) = 0.12125776131118989781963388414721
y[1] (numeric) = 0.12125776131118988951666852715228
absolute error = 8.30296535699493e-18
relative error = 6.8473681743856477564311719679551e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.446
y[1] (analytic) = 0.12011076020596460683079087961163
y[1] (numeric) = 0.12011076020596459846567854952969
absolute error = 8.36511233008194e-18
relative error = 6.9644986974835040923831877275320e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.447
y[1] (analytic) = 0.11896325309894015344720860429119
y[1] (numeric) = 0.11896325309894014501998968961053
absolute error = 8.42721891468066e-18
relative error = 7.0838840525585276727228140819313e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.448
y[1] (analytic) = 0.11781524103251672582597244106842
y[1] (numeric) = 0.11781524103251671733668741114349
absolute error = 8.48928502992493e-18
relative error = 7.2055915308800391604378650172085e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.449
y[1] (analytic) = 0.11666672504998546760468461831924
y[1] (numeric) = 0.11666672504998545905337402333532
absolute error = 8.55131059498392e-18
relative error = 7.3296911277145558134359201649643e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.45
y[1] (analytic) = 0.11551770619552753933122590465757
y[1] (numeric) = 0.11551770619552753071793037559529
absolute error = 8.61329552906228e-18
relative error = 7.4562556795260864542946048156580e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.451
y[1] (analytic) = 0.11436818551421317861739965530357
y[1] (numeric) = 0.11436818551421316994215990390334
absolute error = 8.67523975140023e-18
relative error = 7.5853610096158333218714148148128e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.452
y[1] (analytic) = 0.11321816405200075901729372164426
y[1] (numeric) = 0.11321816405200075028015054037062
absolute error = 8.73714318127364e-18
relative error = 7.7170860828132636587528154568623e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.453
y[1] (analytic) = 0.11206764285573584763119739704251
y[1] (numeric) = 0.11206764285573583883219165904833
absolute error = 8.79900573799418e-18
relative error = 7.8515131698817819543638096154357e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.454
y[1] (analytic) = 0.11091662297315026143591223270402
y[1] (numeric) = 0.1109166229731502525750848917947
absolute error = 8.86082734090932e-18
relative error = 7.9887280223580847648049695110498e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.455
y[1] (analytic) = 0.10976510545286112234229721743104
y[1] (numeric) = 0.10976510545286111341968930802849
absolute error = 8.92260790940255e-18
relative error = 8.1288200586063159593476042436690e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.456
y[1] (analytic) = 0.10861309134436991098089047437227
y[1] (numeric) = 0.10861309134436990199654311147892
absolute error = 8.98434736289335e-18
relative error = 8.2718825619348917940481141163351e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.457
y[1] (analytic) = 0.1074605816980615192164512864211
y[1] (numeric) = 0.10746058169806151017040566558366
absolute error = 9.04604562083744e-18
relative error = 8.4180128916988931228372798071502e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.458
y[1] (analytic) = 0.10630757756520330139226791971413
y[1] (numeric) = 0.10630757756520329228456531698738
absolute error = 9.10770260272675e-18
relative error = 8.5673127083914401807617689943989e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.459
y[1] (analytic) = 0.10515407999794412430507837173963
y[1] (numeric) = 0.10515407999794411513576014365007
absolute error = 9.16931822808956e-18
relative error = 8.7198882138180754017459156274434e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.46
y[1] (analytic) = 0.104000090049313415911452826877
y[1] (numeric) = 0.10400009004931340668056041038635
absolute error = 9.23089241649065e-18
relative error = 8.8758504075464405587035963147747e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.461
y[1] (analytic) = 0.10284560877322021276648825775211
y[1] (numeric) = 0.10284560877322020347406317022078
absolute error = 9.29242508753133e-18
relative error = 9.0353153609325206595836034987546e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.462
y[1] (analytic) = 0.1016906372244522061956672656083
y[1] (numeric) = 0.10169063722445219684175110475874
absolute error = 9.35391616084956e-18
relative error = 9.1984045101453520663628027976559e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.463
y[1] (analytic) = 0.10053517645867478720073490695549
y[1] (numeric) = 0.10053517645867477778536935083542
absolute error = 9.41536555612007e-18
relative error = 9.3652449697447712870126572210772e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.464
y[1] (analytic) = 0.099379227532430090100448907068861
y[1] (numeric) = 0.09937922753243008062367571401443
absolute error = 9.476773193054431e-18
relative error = 9.5359698685139280034042063514960e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.465
y[1] (analytic) = 0.09822279150313603490706031346243
y[1] (numeric) = 0.098222791503136025368921322061244
absolute error = 9.538138991401186e-18
relative error = 9.7107187094114042478078232971717e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.466
y[1] (analytic) = 0.097065869429085368439383294258234
y[1] (numeric) = 0.097065869429085358839920423312319
absolute error = 9.599462870945915e-18
relative error = 9.8896377556882805002081468220929e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.467
y[1] (analytic) = 0.095908462369444704173314437408028
y[1] (numeric) = 0.095908462369444694512569685896678
absolute error = 9.660744751511350e-18
relative error = 1.0072880445416408237992298263485e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.468
y[1] (analytic) = 0.094750571384253560830663556998388
y[1] (numeric) = 0.094750571384253551108679004040917
absolute error = 9.721984552957471e-18
relative error = 1.0260607836897067378995420547900e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=610.3MB, alloc=4.7MB, time=77.84
NO POLE
x[1] = 4.469
y[1] (analytic) = 0.093592197534423399707159662380474
y[1] (numeric) = 0.093592197534423389923977467198838
absolute error = 9.783182195181636e-18
relative error = 1.0452989087667657108923401716714e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.47
y[1] (analytic) = 0.092433341881736660740497394609888
y[1] (numeric) = 0.09243334188173665089615979649127
absolute error = 9.844337598118618e-18
relative error = 1.0650201970100683460868916234106e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.471
y[1] (analytic) = 0.09127400548884579731929088265883
y[1] (numeric) = 0.091274005488845787413840200918076
absolute error = 9.905450681740754e-18
relative error = 1.0852433426898588799442240671818e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.472
y[1] (analytic) = 0.09011418941927230983380361906882
y[1] (numeric) = 0.090114189419272299867282253010798
absolute error = 9.966521366058022e-18
relative error = 1.1059880170132815538997232499860e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.473
y[1] (analytic) = 0.088953894737405777969324601146956
y[1] (numeric) = 0.088953894737405767941775030028824
absolute error = 1.0027549571118132e-17
relative error = 1.1272749327862169946541245014019e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.474
y[1] (analytic) = 0.087793122508502891743062629469059
y[1] (numeric) = 0.087793122508502881654527412462385
absolute error = 1.0088535217006674e-17
relative error = 1.1491259142798554266221767241033e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.475
y[1] (analytic) = 0.086631873798686481285432300337151
y[1] (numeric) = 0.086631873798686471135954076489998
absolute error = 1.0149478223847153e-17
relative error = 1.1715639727973932061432874072158e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.476
y[1] (analytic) = 0.085470149674944545366606872945311
y[1] (numeric) = 0.08547014967494453515622836114419
absolute error = 1.0210378511801121e-17
relative error = 1.1946133884909153442114325509651e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.477
y[1] (analytic) = 0.084307951205129278669214835333704
y[1] (numeric) = 0.084307951205129268397978834265418
absolute error = 1.0271236001068286e-17
relative error = 1.2182997990399968446638687106770e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.478
y[1] (analytic) = 0.08314527945795609780805863575455
y[1] (numeric) = 0.083145279457956087476008023867996
absolute error = 1.0332050611886554e-17
relative error = 1.2426502958729173253722471827389e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.479
y[1] (analytic) = 0.081982135503002666097735687833719
y[1] (numeric) = 0.081982135503002655704913423301518
absolute error = 1.0392822264532201e-17
relative error = 1.2676935286897417989201365553933e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.48
y[1] (analytic) = 0.080818520410707917069043398884685
y[1] (numeric) = 0.080818520410707906615492519564741
absolute error = 1.0453550879319944e-17
relative error = 1.2934598191350850259387034697612e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.481
y[1] (analytic) = 0.079654435252371076735051610917105
y[1] (numeric) = 0.079654435252371066220815234314072
absolute error = 1.0514236376603033e-17
relative error = 1.3199812845688407926469515913865e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.482
y[1] (analytic) = 0.078489881100150684607727483277027
y[1] (numeric) = 0.078489881100150674032848806503694
absolute error = 1.0574878676773333e-17
relative error = 1.3472919729971448999628378622808e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.483
y[1] (analytic) = 0.077324859027063613465999484458398
y[1] (numeric) = 0.077324859027063602830521784196939
absolute error = 1.0635477700261459e-17
relative error = 1.3754280103555124229509383991667e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.484
y[1] (analytic) = 0.076159370106984087876148798433577
y[1] (numeric) = 0.076159370106984077180115430896736
absolute error = 1.0696033367536841e-17
relative error = 1.4044277614838067456402734728824e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.485
y[1] (analytic) = 0.074993415414642701465418087862649
y[1] (numeric) = 0.074993415414642690708872488754796
absolute error = 1.0756545599107853e-17
relative error = 1.4343320063013963573851908806827e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.486
y[1] (analytic) = 0.073826996025625432949729192754536
y[1] (numeric) = 0.073826996025625422132714877232635
absolute error = 1.0817014315521901e-17
relative error = 1.4651841328837629021744298804431e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.487
y[1] (analytic) = 0.072660113016372660916402978566005
y[1] (numeric) = 0.072660113016372650038963541200533
absolute error = 1.0877439437365472e-17
relative error = 1.4970303493629902517260807571992e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.488
y[1] (analytic) = 0.071492767464178177362776182335437
y[1] (numeric) = 0.071492767464178166424955297071082
absolute error = 1.0937820885264355e-17
relative error = 1.5299199168286228381044438087293e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.489
y[1] (analytic) = 0.070324960447188199991611739253633
y[1] (numeric) = 0.07032496044718818899345315937004
absolute error = 1.0998158579883593e-17
relative error = 1.5639054056977193683279105725471e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.49
y[1] (analytic) = 0.06915669304440038326420070507445
y[1] (numeric) = 0.069156693044400372205748263146769
absolute error = 1.1058452441927681e-17
relative error = 1.5990429783604413950919747952911e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.491
y[1] (analytic) = 0.067987966335662828212055521958204
y[1] (numeric) = 0.067987966335662817093353129817578
absolute error = 1.1118702392140626e-17
relative error = 1.6353927012975461075731012631167e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.492
y[1] (analytic) = 0.066818781401673091008096006721827
y[1] (numeric) = 0.066818781401673079829187655415779
absolute error = 1.1178908351306048e-17
relative error = 1.6730188903184841251569635015043e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.493
y[1] (analytic) = 0.065649139323977190298231071037495
y[1] (numeric) = 0.065649139323977179059160830790185
absolute error = 1.1239070240247310e-17
relative error = 1.7119904930943150713678154993332e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.494
y[1] (analytic) = 0.064479041184968613294240812874659
y[1] (numeric) = 0.064479041184968601995052833047108
absolute error = 1.1299187979827551e-17
relative error = 1.7523815137718926594325504208587e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.495
y[1] (analytic) = 0.063308488067887320628865247417477
y[1] (numeric) = 0.063308488067887309269603756467637
absolute error = 1.1359261490949840e-17
relative error = 1.7942714851709950234629900601572e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=614.1MB, alloc=4.7MB, time=78.33
NO POLE
x[1] = 4.496
y[1] (analytic) = 0.06213748105681874997400757380731
y[1] (numeric) = 0.062137481056818738554716879250056
absolute error = 1.1419290694557254e-17
relative error = 1.8377459949036896072409736606803e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.497
y[1] (analytic) = 0.060966021236692818422961501357701
y[1] (numeric) = 0.060966021236692806943685989724722
absolute error = 1.1479275511632979e-17
relative error = 1.8828972727392120229471473923001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.498
y[1] (analytic) = 0.059794109693282923637573785363901
y[1] (numeric) = 0.059794109693282912098357922163484
absolute error = 1.1539215863200417e-17
relative error = 1.9298248476967782475083293849108e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.499
y[1] (analytic) = 0.058621747513204943761254748279063
y[1] (numeric) = 0.058621747513204932162143077955826
absolute error = 1.1599111670323237e-17
relative error = 1.9786362847184756670093209164580e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5
y[1] (analytic) = 0.057448935783916236098751186852869
y[1] (numeric) = 0.057448935783916224439788332747312
absolute error = 1.1658962854105557e-17
relative error = 2.0294480123981118668741276393129e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.501
y[1] (analytic) = 0.056275675593714634563597689822552
y[1] (numeric) = 0.056275675593714622844828354130586
absolute error = 1.1718769335691966e-17
relative error = 2.0823862551728871397770106240451e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.502
y[1] (analytic) = 0.055101968031737445894164013910803
y[1] (numeric) = 0.055101968031737434115632977643146
absolute error = 1.1778531036267657e-17
relative error = 2.1375880856893347944745840490832e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.503
y[1] (analytic) = 0.053927814187960444639217788215832
y[1] (numeric) = 0.053927814187960432800969911157304
absolute error = 1.1838247877058528e-17
relative error = 2.1952026158148005082919940705044e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.504
y[1] (analytic) = 0.052753215153196866913923438575473
y[1] (numeric) = 0.052753215153196855016003659244213
absolute error = 1.1897919779331260e-17
relative error = 2.2553923480833075029076474968048e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.505
y[1] (analytic) = 0.051578172019096402927199844146932
y[1] (numeric) = 0.051578172019096390969653179753509
absolute error = 1.1957546664393423e-17
relative error = 2.3183347133679413103940836427691e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.506
y[1] (analytic) = 0.050402685878144188281360858264606
y[1] (numeric) = 0.050402685878144176264232404671043
absolute error = 1.2017128453593563e-17
relative error = 2.3842238254220649979988112385965e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.507
y[1] (analytic) = 0.049226757823659794044964444618616
y[1] (numeric) = 0.049226757823659781968299376297262
absolute error = 1.2076665068321354e-17
relative error = 2.4532724888326815254536511377085e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.508
y[1] (analytic) = 0.04805038894979621559979779793375
y[1] (numeric) = 0.048050388949796203463641367926138
absolute error = 1.2136156430007612e-17
relative error = 2.5257145041401547534259491908614e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.509
y[1] (analytic) = 0.046873580351538860262927435621476
y[1] (numeric) = 0.046873580351538848067324975497018
absolute error = 1.2195602460124458e-17
relative error = 2.6018073227308048402420777809595e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.51
y[1] (analytic) = 0.045696333124704533684744863322871
y[1] (numeric) = 0.045696333124704521429741783137472
absolute error = 1.2255003080185399e-17
relative error = 2.6818351150280919162823786408538e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.511
y[1] (analytic) = 0.044518648365940425023940032857412
y[1] (numeric) = 0.044518648365940412709581821112036
absolute error = 1.2314358211745376e-17
relative error = 2.7661123290451551593672668753455e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.512
y[1] (analytic) = 0.043340527172723090900336425838766
y[1] (numeric) = 0.043340527172723078526668649437804
absolute error = 1.2373667776400962e-17
relative error = 2.8549878332325607614604657456525e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.513
y[1] (analytic) = 0.042161970643357438126523210111324
y[1] (numeric) = 0.042161970643357425693591514320959
absolute error = 1.2432931695790365e-17
relative error = 2.9488497586981638624555053888598e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.514
y[1] (analytic) = 0.040982979876975705219221529200236
y[1] (numeric) = 0.040982979876975692727071637606689
absolute error = 1.2492149891593547e-17
relative error = 3.0481311825282021739227457600096e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.515
y[1] (analytic) = 0.039803555973536442691323597148777
y[1] (numeric) = 0.039803555973536430140001311616393
absolute error = 1.2551322285532384e-17
relative error = 3.1533168277420193457932403248126e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.516
y[1] (analytic) = 0.038623700033823492125544882439403
y[1] (numeric) = 0.038623700033823479515096083068712
absolute error = 1.2610448799370691e-17
relative error = 3.2649509985649967664865595762048e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.517
y[1] (analytic) = 0.037443413159444964030631275157014
y[1] (numeric) = 0.037443413159444951361101920242673
absolute error = 1.2669529354914341e-17
relative error = 3.3836470251693650837736951824523e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.518
y[1] (analytic) = 0.036262696452832214481064741151494
y[1] (numeric) = 0.036262696452832201752500867140139
absolute error = 1.2728563874011355e-17
relative error = 3.5100985638416913151951503882909e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.519
y[1] (analytic) = 0.035081551017238820541212575690822
y[1] (numeric) = 0.035081551017238807753660297138785
absolute error = 1.2787552278552037e-17
relative error = 3.6450931922218394107858012073952e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.52
y[1] (analytic) = 0.033899977956739554474866976963034
y[1] (numeric) = 0.033899977956739541628372486494001
absolute error = 1.2846494490469033e-17
relative error = 3.7895288624856050620881768278165e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.521
y[1] (analytic) = 0.032717978376229356741123266783837
y[1] (numeric) = 0.032717978376229343835732835046411
absolute error = 1.2905390431737426e-17
relative error = 3.9444339388382257755365922039083e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.522
y[1] (analytic) = 0.031535553381422307777546691994019
y[1] (numeric) = 0.031535553381422294813306667619158
absolute error = 1.2964240024374861e-17
relative error = 4.1109917646195912240481874705660e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=618.0MB, alloc=4.7MB, time=78.83
NO POLE
x[1] = 4.523
y[1] (analytic) = 0.030352704078850598571579345285281
y[1] (numeric) = 0.030352704078850585548536154843668
absolute error = 1.3023043190441613e-17
relative error = 4.2905710003992408190275192406403e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.524
y[1] (analytic) = 0.029169431575863500021140348573038
y[1] (numeric) = 0.029169431575863486939340496532326
absolute error = 1.3081799852040712e-17
relative error = 4.4847633790935306125293692910931e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.525
y[1] (analytic) = 0.027985736980626331085374045537391
y[1] (numeric) = 0.027985736980626317944864114219363
absolute error = 1.3140509931318028e-17
relative error = 4.6954310834889932404838640856555e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.526
y[1] (analytic) = 0.026801621402119425726502552577611
y[1] (numeric) = 0.026801621402119412527329202115252
absolute error = 1.3199173350462359e-17
relative error = 4.9247667342314563359381642629556e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.527
y[1] (analytic) = 0.025617085950137098643740619168598
y[1] (numeric) = 0.02561708595013708538595058746307
absolute error = 1.3257790031705528e-17
relative error = 5.1753700860087774261596848426274e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.528
y[1] (analytic) = 0.024432131735286609800232349468085
y[1] (numeric) = 0.024432131735286596483872452145594
absolute error = 1.3316359897322491e-17
relative error = 5.4503471254986988182741909145959e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.529
y[1] (analytic) = 0.023246759868987127743970936998822
y[1] (numeric) = 0.023246759868987114369088067367383
absolute error = 1.3374882869631439e-17
relative error = 5.7534395954571319509645541330317e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.53
y[1] (analytic) = 0.02206097146346869172366416331858
y[1] (numeric) = 0.02206097146346867829030529232472
absolute error = 1.3433358870993860e-17
relative error = 6.0891964314620012084645704314681e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.531
y[1] (analytic) = 0.020874767631771172600510009790855
y[1] (numeric) = 0.020874767631771159108722185976141
absolute error = 1.3491787823814714e-17
relative error = 6.4632038362335384929864233503521e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.532
y[1] (analytic) = 0.01968814948774323255684832887766
y[1] (numeric) = 0.019688149487743219006678678335257
absolute error = 1.3550169650542403e-17
relative error = 6.8823988049146006130674315704849e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.533
y[1] (analytic) = 0.018501118146041283602656117792823
y[1] (numeric) = 0.018501118146041269994151844123797
absolute error = 1.3608504273669026e-17
relative error = 7.3555036869924866166221709809365e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.534
y[1] (analytic) = 0.017313674722128444880855532874515
y[1] (numeric) = 0.017313674722128431214063917144196
absolute error = 1.3666791615730319e-17
relative error = 7.8936400475763363682634741036374e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.535
y[1] (analytic) = 0.01612582033227349877240537766154
y[1] (numeric) = 0.01612582033227348504737377835569
absolute error = 1.3725031599305850e-17
relative error = 8.5112145097122178007356252444255e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.536
y[1] (analytic) = 0.014937556093549845802148391382816
y[1] (numeric) = 0.014937556093549832018924244363718
absolute error = 1.3783224147019098e-17
relative error = 9.2272283770507831499136324324950e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.537
y[1] (analytic) = 0.013748883123834458346388257395066
y[1] (numeric) = 0.013748883123834444505019075857545
absolute error = 1.3841369181537521e-17
relative error = 1.0067268051426470341169059434546e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.538
y[1] (analytic) = 0.01255980254180683314317184302607
y[1] (numeric) = 0.012559802541806819243705217453353
absolute error = 1.3899466625572717e-17
relative error = 1.1066628300330875998294053792070e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.539
y[1] (analytic) = 0.011370315466947942606253773298084
y[1] (numeric) = 0.011370315466947928648737371417678
absolute error = 1.3957516401880406e-17
relative error = 1.2275399431487302752564617293249e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.54
y[1] (analytic) = 0.01018042301953918494372203111763
y[1] (numeric) = 0.010180423019539170928203597856978
absolute error = 1.4015518433260652e-17
relative error = 1.3767127757226597029190282294460e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.541
y[1] (analytic) = 0.008990126320661333082264865719197
y[1] (numeric) = 0.0089901263206613190087922231613092
absolute error = 1.40734726425578878e-17
relative error = 1.5654365846021408071177004317547e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.542
y[1] (analytic) = 0.007799426492193482398060879442646
y[1] (numeric) = 0.0077994264921934682666819267816263
absolute error = 1.41313789526610197e-17
relative error = 1.8118484694746782560231231327009e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.543
y[1] (analytic) = 0.006608324656811997255275750302621
y[1] (numeric) = 0.0066083246568119830660384637990714
absolute error = 1.41892372865035496e-17
relative error = 2.1471761790451671229183403627895e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.544
y[1] (analytic) = 0.005416821937989456353150634272457
y[1] (numeric) = 0.0054168219379894421061030672088357
absolute error = 1.42470475670636213e-17
relative error = 2.6301487717633284810054920354963e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.545
y[1] (analytic) = 0.00422491945999359688266887675292
y[1] (numeric) = 0.004224919459993582577859159388761
absolute error = 1.43048097173641590e-17
relative error = 3.3858183221759779515367991507878e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.546
y[1] (analytic) = 0.003032618347886257493789247324807
y[1] (numeric) = 0.0030326183478862431312655868518309
absolute error = 1.43625236604729761e-17
relative error = 4.7360142335364061539247231869782e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.547
y[1] (analytic) = 0.001839919727522320074235495592932
y[1] (numeric) = 0.0018399197275223056540461760900965
absolute error = 1.44201893195028355e-17
relative error = 7.8374013299598713718894694446413e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.548
y[1] (analytic) = 0.000646824725548650340833608714952
y[1] (numeric) = 0.000646824725548635863026991103416
absolute error = 1.447780661761153600e-17
relative error = 2.2382889901636267578710945455578e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.549
y[1] (analytic) = -0.000546665530596962755610266930259
y[1] (numeric) = -0.0005466655305969772909857449323211
absolute error = 1.453537547800206210e-17
relative error = 2.6589156741105161363432880183969e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=621.8MB, alloc=4.7MB, time=79.32
x[1] = 4.55
y[1] (analytic) = -0.001740549912686868810896696545408
y[1] (numeric) = -0.0017405499126868834037925204680362
absolute error = 1.45928958239226282e-17
relative error = 8.3840720208912174076960258650368e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.551
y[1] (analytic) = -0.002934827291704618932488496792852
y[1] (numeric) = -0.0029348272917046335828560754596372
absolute error = 1.46503675786667852e-17
relative error = 4.9919010975795771886650766666560e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.552
y[1] (analytic) = -0.004129496537846029888037242276396
y[1] (numeric) = -0.0041294965378460445958279078499737
absolute error = 1.47077906655735777e-17
relative error = 3.5616425708992722263453524194139e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.553
y[1] (analytic) = -0.005324556520520249436381458012127
y[1] (numeric) = -0.0053245565205202642015464660396414
absolute error = 1.47651650080275144e-17
relative error = 2.7730318855897591494538433492822e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.554
y[1] (analytic) = -0.006520006108350822840015640063934
y[1] (numeric) = -0.0065200061083508376625061695227368
absolute error = 1.48224905294588028e-17
relative error = 2.2733859881625201494644155626926e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.555
y[1] (analytic) = -0.007715844169176760558027670247766
y[1] (numeric) = -0.0077158441691767754377948235910823
absolute error = 1.48797671533433163e-17
relative error = 1.9284691120104500679194454485652e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.556
y[1] (analytic) = -0.008912069570053607118500615473409
y[1] (numeric) = -0.0089120695700536220554954186762165
absolute error = 1.49369948032028075e-17
relative error = 1.6760410907691062567227288493926e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.557
y[1] (analytic) = -0.010108681177254511169373327899605
y[1] (numeric) = -0.010108681177254526163546730504543
absolute error = 1.4994173402604938e-17
relative error = 1.4832966971342657890104276085875e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.558
y[1] (analytic) = -0.011305677856271296706752688626066
y[1] (numeric) = -0.011305677856271311758055563789427
absolute error = 1.5051302875163361e-17
relative error = 1.3313047715059697876293610340369e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.559
y[1] (analytic) = -0.012503058471815535479668765138839
y[1] (numeric) = -0.012503058471815550588051909676691
absolute error = 1.5108383144537852e-17
relative error = 1.2083749890952884854063348690117e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.56
y[1] (analytic) = -0.01370082188781962057026258116442
y[1] (numeric) = -0.013700821887819635735676715598842
absolute error = 1.5165414134434422e-17
relative error = 1.1068981305360126767282226390980e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.561
y[1] (analytic) = -0.01489896696743784114839462697512
y[1] (numeric) = -0.014898966967437856370790395580463
absolute error = 1.5222395768605343e-17
relative error = 1.0217081359985806817589038364074e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.562
y[1] (analytic) = -0.016097492573047458399660668525138
y[1] (numeric) = -0.016097492573047473678988639374442
absolute error = 1.5279327970849304e-17
relative error = 9.4917440722612704892559569460884e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.563
y[1] (analytic) = -0.017296397566249782625799845086622
y[1] (numeric) = -0.017296397566249797962010510098104
absolute error = 1.5336210665011482e-17
relative error = 8.8667079987435153751988725072618e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.564
y[1] (analytic) = -0.018495680807871251516478477298108
y[1] (numeric) = -0.018495680807871266909522252281767
absolute error = 1.5393043774983659e-17
relative error = 8.3225072571715252639462451746159e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.565
y[1] (analytic) = -0.019695341157964509591431440737506
y[1] (numeric) = -0.019695341157964525041258665441799
absolute error = 1.5449827224704293e-17
relative error = 7.8444070101606782844928404099429e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.566
y[1] (analytic) = -0.020895377475809488811941394289165
y[1] (numeric) = -0.020895377475809504318502332447768
absolute error = 1.5506560938158603e-17
relative error = 7.4210484860158657783565852532937e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.567
y[1] (analytic) = -0.02209578861991449036063458769211
y[1] (numeric) = -0.022095788619914505923879427070828
absolute error = 1.5563244839378718e-17
relative error = 7.0435344522403142943747497796462e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.568
y[1] (analytic) = -0.023296573448017267588570408736225
y[1] (numeric) = -0.023296573448017283208449261179941
absolute error = 1.5619878852443716e-17
relative error = 6.7047966892200182215106980258883e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.569
y[1] (analytic) = -0.024497730817086110128600267616163
y[1] (numeric) = -0.024497730817086125805063169095899
absolute error = 1.5676462901479736e-17
relative error = 6.3991489736453792653716187604466e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.57
y[1] (analytic) = -0.025699259583320929173969853962253
y[1] (numeric) = -0.02569925958332094490696676462233
absolute error = 1.5732996910660077e-17
relative error = 6.1219650549274757606486414688339e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.571
y[1] (analytic) = -0.026901158602154343921137241044636
y[1] (numeric) = -0.026901158602154359710618045249929
absolute error = 1.5789480804205293e-17
relative error = 5.8694426651723517913396628596604e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.572
y[1] (analytic) = -0.028103426728252769175777751593606
y[1] (numeric) = -0.028103426728252785021692257976936
absolute error = 1.5845914506383330e-17
relative error = 5.6384278898107503137654469970700e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.573
y[1] (analytic) = -0.029306062815517504120944940597955
y[1] (numeric) = -0.029306062815517520023242882107452
absolute error = 1.5902297941509497e-17
relative error = 5.4262826233653128945904270070120e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.574
y[1] (analytic) = -0.030509065717085822246355492334642
y[1] (numeric) = -0.030509065717085838204986526281387
absolute error = 1.5958631033946745e-17
relative error = 5.2307832635496018139218281289055e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.575
y[1] (analytic) = -0.03171243428533206243776427175213
y[1] (numeric) = -0.031712434285332078452677979857708
absolute error = 1.6014913708105578e-17
relative error = 5.0500423789645655269452659773064e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.576
y[1] (analytic) = -0.032916167371868721225394214173832
y[1] (numeric) = -0.032916167371868737296540102618089
absolute error = 1.6071145888444257e-17
relative error = 4.8824474936226038741519091381272e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=625.6MB, alloc=4.7MB, time=79.80
x[1] = 4.577
y[1] (analytic) = -0.034120263827547546190384182114217
y[1] (numeric) = -0.034120263827547562317711681583081
absolute error = 1.6127327499468864e-17
relative error = 4.7266127779610559803191708110668e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.578
y[1] (analytic) = -0.035324722502460630528216363805969
y[1] (numeric) = -0.035324722502460646711674829539384
absolute error = 1.6183458465733415e-17
relative error = 4.5813405794217113385708406402939e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.579
y[1] (analytic) = -0.0365295422459415087680832348268
y[1] (numeric) = -0.036529542245941525007621946666746
absolute error = 1.6239538711839946e-17
relative error = 4.4455905312211200837495605397362e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.58
y[1] (analytic) = -0.03773472190656625364715255198978
y[1] (numeric) = -0.037734721906566269942720714428351
absolute error = 1.6295568162438571e-17
relative error = 4.3184545530208251525808770606066e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.581
y[1] (analytic) = -0.038940260332154574138687297423593
y[1] (numeric) = -0.038940260332154590490234039651197
absolute error = 1.6351546742227604e-17
relative error = 4.1991364728307836957601612962753e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.582
y[1] (analytic) = -0.040146156369770914632975940521226
y[1] (numeric) = -0.04014615636977093104045031647495
absolute error = 1.6407474375953724e-17
relative error = 4.0869353033029472324042746588868e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.583
y[1] (analytic) = -0.041352408865725555270026836179007
y[1] (numeric) = -0.041352408865725571733377824590942
absolute error = 1.6463350988411935e-17
relative error = 3.9812314300406776691106192699297e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.584
y[1] (analytic) = -0.042559016665575713422979029483618
y[1] (numeric) = -0.042559016665575729942155533929353
absolute error = 1.6519176504445735e-17
relative error = 3.8814751370436235304085735960914e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.585
y[1] (analytic) = -0.043765978614126646331180189736911
y[1] (numeric) = -0.04376597861412666290613103868414
absolute error = 1.6574950848947229e-17
relative error = 3.7871770205538641751532280973886e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.586
y[1] (analytic) = -0.044973293555432754881880850436634
y[1] (numeric) = -0.04497329355543277151255479729382
absolute error = 1.6630673946857186e-17
relative error = 3.6978999384064918246779201120355e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.587
y[1] (analytic) = -0.046180960332798688539492586558663
y[1] (numeric) = -0.04618096033279870522583830972383
absolute error = 1.6686345723165167e-17
relative error = 3.6132522153971262475578723843974e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.588
y[1] (analytic) = -0.047388977788780451421356216215171
y[1] (numeric) = -0.047388977788780468163322319124718
absolute error = 1.6741966102909547e-17
relative error = 3.5328818818441112248671562225569e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.589
y[1] (analytic) = -0.04859734476518650951896457049416
y[1] (numeric) = -0.04859734476518652631649958167186
absolute error = 1.6797535011177700e-17
relative error = 3.4564717665831991492652890485514e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.59
y[1] (analytic) = -0.04980606010307889906358283302262
y[1] (numeric) = -0.04980606010307891591663520612867
absolute error = 1.6853052373106050e-17
relative error = 3.3837353001275103981377806629987e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.591
y[1] (analytic) = -0.051015122642774336035207909538171
y[1] (numeric) = -0.051015122642774352943726023418338
absolute error = 1.6908518113880167e-17
relative error = 3.3144129109086931487519338823458e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.592
y[1] (analytic) = -0.052224531223845326813806747506051
y[1] (numeric) = -0.052224531223845343777738906240882
absolute error = 1.6963932158734831e-17
relative error = 3.2482689190686746853110415606476e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.593
y[1] (analytic) = -0.053434284685121279971771986580505
y[1] (numeric) = -0.053434284685121296991066419534717
absolute error = 1.7019294432954212e-17
relative error = 3.1850888494617045983619498929426e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.594
y[1] (analytic) = -0.054644381864689619206531782485105
y[1] (numeric) = -0.05464438186468963628113664435697
absolute error = 1.7074604861871865e-17
relative error = 3.1246770993131535125549138625771e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.595
y[1] (analytic) = -0.055854821599896897412249109675363
y[1] (numeric) = -0.055854821599896914542112480546264
absolute error = 1.7129863370870901e-17
relative error = 3.0668549070976749960146374656146e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.596
y[1] (analytic) = -0.057065602727349911889544311953695
y[1] (numeric) = -0.057065602727349929074614197337706
absolute error = 1.7185069885384011e-17
relative error = 3.0114585782071654739050295844519e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.597
y[1] (analytic) = -0.058276724082916820692173135030541
y[1] (numeric) = -0.05827672408291683793239746592417
absolute error = 1.7240224330893629e-17
relative error = 2.9583379303140017665594814893387e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.598
y[1] (analytic) = -0.059488184501728260109590940870681
y[1] (numeric) = -0.059488184501728277404917573802674
absolute error = 1.7295326632931993e-17
relative error = 2.9073549273351124785908377583129e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.599
y[1] (analytic) = -0.060699982818178463284332270530396
y[1] (numeric) = -0.06069998281817848063470898761159
absolute error = 1.7350376717081194e-17
relative error = 2.8583824758324468439635388405713e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6
y[1] (analytic) = -0.061912117865926379963133390082163
y[1] (numeric) = -0.06191211786592639736850789905556
absolute error = 1.7405374508973397e-17
relative error = 2.8113033617531157427380048330172e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.601
y[1] (analytic) = -0.063124588477896797380723923141457
y[1] (numeric) = -0.06312458847789681484104385743225
absolute error = 1.7460319934290793e-17
relative error = 2.7660093087821965635279611833701e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.602
y[1] (analytic) = -0.064337393486281462275212143454572
y[1] (numeric) = -0.064337393486281479790425062220346
absolute error = 1.7515212918765774e-17
relative error = 2.7224001423838391751953788706768e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.603
y[1] (analytic) = -0.065550531722540204033986971982479
y[1] (numeric) = -0.065550531722540221604040360163467
absolute error = 1.7570053388180988e-17
relative error = 2.6803830459455067891562014683730e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=629.4MB, alloc=4.7MB, time=80.30
x[1] = 4.604
y[1] (analytic) = -0.066764002017402058969058194922368
y[1] (numeric) = -0.066764002017402076593899463291815
absolute error = 1.7624841268369447e-17
relative error = 2.6398718973999680781671268086189e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.605
y[1] (analytic) = -0.067977803200866395720754892149697
y[1] (numeric) = -0.067977803200866413400331377364364
absolute error = 1.7679576485214667e-17
relative error = 2.6007866763469249555422038930841e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.606
y[1] (analytic) = -0.069191934102204041788700539640432
y[1] (numeric) = -0.069191934102204059522959504291106
absolute error = 1.7734258964650674e-17
relative error = 2.5630529330854138420279866109241e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.607
y[1] (analytic) = -0.070406393549958411188981724547098
y[1] (numeric) = -0.070406393549958428977870357209271
absolute error = 1.7788888632662173e-17
relative error = 2.5266013121435731932116449934777e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.608
y[1] (analytic) = -0.071621180371946633236425887756813
y[1] (numeric) = -0.071621180371946651079891303041396
absolute error = 1.7843465415284583e-17
relative error = 2.4913671238897518319760894598098e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.609
y[1] (analytic) = -0.07283629339526068245090198595449
y[1] (numeric) = -0.072836293395260700348891224558649
absolute error = 1.7897989238604159e-17
relative error = 2.4572899586579932611492577803462e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.61
y[1] (analytic) = -0.074051731446268509586556443453603
y[1] (numeric) = -0.074051731446268527539016472211711
absolute error = 1.7952460028758108e-17
relative error = 2.4243133385455416246309259253388e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.611
y[1] (analytic) = -0.075267493350615173782895243341187
y[1] (numeric) = -0.075267493350615191789772955275814
absolute error = 1.8006877711934627e-17
relative error = 2.3923844026602559607742791034967e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.612
y[1] (analytic) = -0.076483577933223975836621487815034
y[1] (numeric) = -0.076483577933223993897863702188089
absolute error = 1.8061242214373055e-17
relative error = 2.3614536221281257805685481604346e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.613
y[1] (analytic) = -0.077699984018297592593136238972192
y[1] (numeric) = -0.077699984018297610708689701336114
absolute error = 1.8115553462363922e-17
relative error = 2.3314745416289770239335431801049e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.614
y[1] (analytic) = -0.078916710429319212456608933739341
y[1] (numeric) = -0.0789167104293192306264203159884
absolute error = 1.8169811382249059e-17
relative error = 2.3024035446234962590931086941281e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.615
y[1] (analytic) = -0.080133755989053672017522150120757
y[1] (numeric) = -0.080133755989053690241538050542434
absolute error = 1.8224015900421677e-17
relative error = 2.2741996397761625594415274190347e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.616
y[1] (analytic) = -0.081351119519548593796593986479188
y[1] (numeric) = -0.081351119519548612074760929805685
absolute error = 1.8278166943326497e-17
relative error = 2.2468242663746344029637107484811e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.617
y[1] (analytic) = -0.082568799842135525103979801161833
y[1] (numeric) = -0.082568799842135543436244238621645
absolute error = 1.8332264437459812e-17
relative error = 2.2202411168031425677335936812561e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.618
y[1] (analytic) = -0.083786795777431078012653546438805
y[1] (numeric) = -0.083786795777431096398961855808393
absolute error = 1.8386308309369588e-17
relative error = 2.1944159743511934482273033897597e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.619
y[1] (analytic) = -0.085005106145338070444867418437716
y[1] (numeric) = -0.085005106145338088885165904093248
absolute error = 1.8440298485655532e-17
relative error = 2.1693165648340116919910271079094e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.62
y[1] (analytic) = -0.086223729765046668370587033536524
y[1] (numeric) = -0.086223729765046686864821926505764
absolute error = 1.8494234892969240e-17
relative error = 2.1449124206717422140069187479317e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.621
y[1] (analytic) = -0.087442665455035529116797831520231
y[1] (numeric) = -0.087442665455035547664915289534468
absolute error = 1.8548117458014237e-17
relative error = 2.1211747562237780887913066600366e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.622
y[1] (analytic) = -0.088661912033072945786576896716224
y[1] (numeric) = -0.088661912033072964388523004262317
absolute error = 1.8601946107546093e-17
relative error = 2.0980763533057054365241012268576e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.623
y[1] (analytic) = -0.08988146831621799278682288030118
y[1] (numeric) = -0.089881468316218011442543648673722
absolute error = 1.8655720768372542e-17
relative error = 2.0755914559315615089847251106287e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.624
y[1] (analytic) = -0.091101333120821672463535200020576
y[1] (numeric) = -0.091101333120821691172976567374074
absolute error = 1.8709441367353498e-17
relative error = 2.0536956734255911931123320632089e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.625
y[1] (analytic) = -0.092321505262528062843532187681696
y[1] (numeric) = -0.092321505262528081606640019082916
absolute error = 1.8763107831401220e-17
relative error = 2.0323658911372720755631414340029e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.626
y[1] (analytic) = -0.093541983556275466481496349975743
y[1] (numeric) = -0.093541983556275485298216437456129
absolute error = 1.8816720087480386e-17
relative error = 2.0115801880724631689180075507047e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.627
y[1] (analytic) = -0.094762766816297560411233404454509
y[1] (numeric) = -0.094762766816297579281511467062675
absolute error = 1.8870278062608166e-17
relative error = 1.9913177608236322464047643437111e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.628
y[1] (analytic) = -0.095983853856124547200030249835068
y[1] (numeric) = -0.095983853856124566123811933689408
absolute error = 1.8923781683854340e-17
relative error = 1.9715588532442375436633726569803e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.629
y[1] (analytic) = -0.097205243488584307104995528233843
y[1] (numeric) = -0.097205243488584326082226406575207
absolute error = 1.8977230878341364e-17
relative error = 1.9522846913675014093274709386739e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.63
y[1] (analytic) = -0.098426934525803551330264936440523
y[1] (numeric) = -0.098426934525803570360890509685004
absolute error = 1.9030625573244481e-17
relative error = 1.9334774231189149354909829193333e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=633.2MB, alloc=4.7MB, time=80.80
x[1] = 4.631
y[1] (analytic) = -0.099648925779208976383951943935385
y[1] (numeric) = -0.099648925779208995467917639727189
absolute error = 1.9083965695791804e-17
relative error = 1.9151200624155182458098155132042e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.632
y[1] (analytic) = -0.10087121605952841953372307703173
y[1] (numeric) = -0.10087121605952843867097425029616
absolute error = 1.913725117326443e-17
relative error = 1.8971964372840235666780491956799e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.633
y[1] (analytic) = -0.1020938041767920153598754312909
y[1] (numeric) = -0.10209380417679203455035736428741
absolute error = 1.919048193299651e-17
relative error = 1.8796911416646862801879240182143e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.634
y[1] (analytic) = -0.10331668894033335340479257821214
y[1] (numeric) = -0.10331668894033337264845048058744
absolute error = 1.924365790237530e-17
relative error = 1.8625894905990209276598013916791e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.635
y[1] (analytic) = -0.10453986915879063691765353714529
y[1] (numeric) = -0.10453986915879065621443254598667
absolute error = 1.929677900884138e-17
relative error = 1.8458774785274098584596489960688e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.636
y[1] (analytic) = -0.105763343640107842693267989414
y[1] (numeric) = -0.10576334364010786204311316930259
absolute error = 1.934984517988859e-17
relative error = 1.8295417404476509730291647242653e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.637
y[1] (analytic) = -0.10698711119153588200390941876994
y[1] (numeric) = -0.10698711119153590140676576183417
absolute error = 1.940285634306423e-17
relative error = 1.8135695157080992983673177569804e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.638
y[1] (analytic) = -0.10821117061963376262301637053021
y[1] (numeric) = -0.10821117061963378207882879649933
absolute error = 1.945581242596912e-17
relative error = 1.7979486142292106735590793447213e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.639
y[1] (analytic) = -0.10943552073026975193963053107879
y[1] (numeric) = -0.10943552073026977144834388733648
absolute error = 1.950871335625769e-17
relative error = 1.7826673849655836696377315914608e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.64
y[1] (analytic) = -0.11066016032862254116243883984314
y[1] (numeric) = -0.11066016032862256072399790148119
absolute error = 1.956155906163805e-17
relative error = 1.7677146864370122697536789087135e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.641
y[1] (analytic) = -0.11188508821918241061228535738928
y[1] (numeric) = -0.11188508821918243022663482726142
absolute error = 1.961434946987214e-17
relative error = 1.7530798591719133337130172619663e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.642
y[1] (analytic) = -0.11311030320575239610201712591564
y[1] (numeric) = -0.11311030320575241576910163469136
absolute error = 1.966708450877572e-17
relative error = 1.7387526999198708340710130955576e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.643
y[1] (analytic) = -0.11433580409144945640252677216843
y[1] (numeric) = -0.11433580409144947612229087838707
absolute error = 1.971976410621864e-17
relative error = 1.7247234375022314024723487428030e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.644
y[1] (analytic) = -0.11556158967870564179385311765334
y[1] (numeric) = -0.11556158967870566156624130777803
absolute error = 1.977238819012469e-17
relative error = 1.7109827101805711722145777875049e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.645
y[1] (analytic) = -0.11678765876926926370019957697806
y[1] (numeric) = -0.11678765876926928352515626544996
absolute error = 1.982495668847190e-17
relative error = 1.6975215444329558470881780613825e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.646
y[1] (analytic) = -0.11801401016420606540772864223462
y[1] (numeric) = -0.11801401016420608528519817152715
absolute error = 1.987746952929253e-17
relative error = 1.6843313350368136683996931302147e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.647
y[1] (analytic) = -0.11924064266390039386398926951611
y[1] (numeric) = -0.11924064266390041379391591018929
absolute error = 1.992992664067318e-17
relative error = 1.6714038263655620150898268856015e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.648
y[1] (analytic) = -0.1204675550680563725578325029654
y[1] (numeric) = -0.12046755506805639254016045372027
absolute error = 1.998232795075487e-17
relative error = 1.6587310948135494128531760452190e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.649
y[1] (analytic) = -0.12169474617569907547866919217305
y[1] (numeric) = -0.12169474617569909551334257990624
absolute error = 2.003467338773319e-17
relative error = 1.6463055322706991805925603818968e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.65
y[1] (analytic) = -0.12292221478517570215392218028141
y[1] (numeric) = -0.12292221478517572224088506013969
absolute error = 2.008696287985828e-17
relative error = 1.6341198305744119986733049613096e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.651
y[1] (analytic) = -0.12414995969415675376352386281173
y[1] (numeric) = -0.12414995969415677390272021824678
absolute error = 2.013919635543505e-17
relative error = 1.6221669668719934431369024954983e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.652
y[1] (analytic) = -0.12537797969963721033030854101594
y[1] (numeric) = -0.1253779796996372305216822838391
absolute error = 2.019137374282316e-17
relative error = 1.6104401898319617847896059846869e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.653
y[1] (analytic) = -0.1266062735979377089851475184625
y[1] (numeric) = -0.12660627359793772922864248889969
absolute error = 2.024349497043719e-17
relative error = 1.5989330066473843771116249324266e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.654
y[1] (analytic) = -0.12783484018470572330567341560238
y[1] (numeric) = -0.12783484018470574360123338234909
absolute error = 2.029555996674671e-17
relative error = 1.5876391707786473438141775850991e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.655
y[1] (analytic) = -0.12906367825491674372743870422518
y[1] (numeric) = -0.1290636782549167640750073645015
absolute error = 2.034756866027632e-17
relative error = 1.5765526703870435720120797389216e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.656
y[1] (analytic) = -0.13029278660287545902635199201067
y[1] (numeric) = -0.13029278660287547942587297161648
absolute error = 2.039952097960581e-17
relative error = 1.5656677174141894255080230904207e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.657
y[1] (analytic) = -0.13152216402221693887123411680904
y[1] (numeric) = -0.13152216402221695932265097017925
absolute error = 2.045141685337021e-17
relative error = 1.5549787372655701775717590155514e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=637.0MB, alloc=4.7MB, time=81.29
x[1] = 4.658
y[1] (analytic) = -0.13275180930590781744533464084483
y[1] (numeric) = -0.13275180930590783794859085110474
absolute error = 2.050325621025991e-17
relative error = 1.5444803590595928095630936729756e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.659
y[1] (analytic) = -0.13398172124624747813564786673827
y[1] (numeric) = -0.13398172124624749869068684575898
absolute error = 2.055503897902071e-17
relative error = 1.5341674064062981034147300796318e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.66
y[1] (analytic) = -0.13521189863486923928886603007388
y[1] (numeric) = -0.13521189863486925989563111852785
absolute error = 2.060676508845397e-17
relative error = 1.5240348886824799217925507667305e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.661
y[1] (analytic) = -0.13644234026274154103280585722317
y[1] (numeric) = -0.13644234026274156169124032463981
absolute error = 2.065843446741664e-17
relative error = 1.5140779927722964509048242790677e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.662
y[1] (analytic) = -0.13767304492016913316214321224613
y[1] (numeric) = -0.1376730449201691538721902570675
absolute error = 2.071004704482137e-17
relative error = 1.5042920752446685576257892664925e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.663
y[1] (analytic) = -0.13890401139679426408728909295867
y[1] (numeric) = -0.13890401139679428484889184259532
absolute error = 2.076160274963665e-17
relative error = 1.4946726549407487148185449430595e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.664
y[1] (analytic) = -0.14013523848159787084523877366091
y[1] (numeric) = -0.14013523848159789165834028454771
absolute error = 2.081310151088680e-17
relative error = 1.4852154059465858455214331935565e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.665
y[1] (analytic) = -0.1413667249629007701712244305759
y[1] (numeric) = -0.14136672496290079103576768822805
absolute error = 2.086454325765215e-17
relative error = 1.4759161509278569797190560719102e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.666
y[1] (analytic) = -0.14259846962836485063000012575347
y[1] (numeric) = -0.14259846962836487154592804482257
absolute error = 2.091592791906910e-17
relative error = 1.4667708548050663216585929724970e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.667
y[1] (analytic) = -0.14383047126499426580558656604911
y[1] (numeric) = -0.1438304712649942867728419903793
absolute error = 2.096725542433019e-17
relative error = 1.4577756187491016434222560239883e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.668
y[1] (analytic) = -0.1450627286591366285483015957966
y[1] (numeric) = -0.14506272865913664956682729848083
absolute error = 2.101852570268423e-17
relative error = 1.4489266744783791517461239196040e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.669
y[1] (analytic) = -0.14629524059648420627790092495673
y[1] (numeric) = -0.14629524059648422734763960839309
absolute error = 2.106973868343636e-17
relative error = 1.4402203788400421672115898744422e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.67
y[1] (analytic) = -0.14752800586207511734165213884477
y[1] (numeric) = -0.14752800586207513846254643479291
absolute error = 2.112089429594814e-17
relative error = 1.4316532086588494987976657341522e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.671
y[1] (analytic) = -0.14876102324029452842616358101815
y[1] (numeric) = -0.14876102324029454959815605065582
absolute error = 2.117199246963767e-17
relative error = 1.4232217558384517114737959397440e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.672
y[1] (analytic) = -0.14999429151487585302178824754551
y[1] (numeric) = -0.14999429151487587424482138152513
absolute error = 2.122303313397962e-17
relative error = 1.4149227227007370313150576559811e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.673
y[1] (analytic) = -0.15122780946890195093842137867948
y[1] (numeric) = -0.15122780946890197221243759718488
absolute error = 2.127401621850540e-17
relative error = 1.4067529175498721433737674356760e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.674
y[1] (analytic) = -0.15246157588480632887150898292207
y[1] (numeric) = -0.15246157588480635019645063572527
absolute error = 2.132494165280320e-17
relative error = 1.3987092504484831863507743669392e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.675
y[1] (analytic) = -0.15369558954437434201708307860292
y[1] (numeric) = -0.15369558954437436339289244512098
absolute error = 2.137580936651806e-17
relative error = 1.3907887291942444793266514512563e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.676
y[1] (analytic) = -0.15492984922874439673463798939042
y[1] (numeric) = -0.15492984922874441816125727874245
absolute error = 2.142661928935203e-17
relative error = 1.3829884554858724483680053285066e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.677
y[1] (analytic) = -0.15616435371840915425666058262566
y[1] (numeric) = -0.15616435371840917573403193368985
absolute error = 2.147737135106419e-17
relative error = 1.3753056212681888534465307626268e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.678
y[1] (analytic) = -0.15739910179321673544362589300957
y[1] (numeric) = -0.15739910179321675697169137448034
absolute error = 2.152806548147077e-17
relative error = 1.3677375052465860090553751246185e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.679
y[1] (analytic) = -0.15863409223237192658326812898843
y[1] (numeric) = -0.15863409223237194816196973943367
absolute error = 2.157870161044524e-17
relative error = 1.3602814695617961757073392457311e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.68
y[1] (analytic) = -0.15986932381443738623293561517245
y[1] (numeric) = -0.15986932381443740786221528309087
absolute error = 2.162927966791842e-17
relative error = 1.3529349566164322231485448845303e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.681
y[1] (analytic) = -0.16110479531733485310383678128897
y[1] (numeric) = -0.16110479531733487478363636516749
absolute error = 2.167979958387852e-17
relative error = 1.3456954860452733304016615302240e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.682
y[1] (analytic) = -0.16234050551834635498598286651743
y[1] (numeric) = -0.16234050551834637671624415488868
absolute error = 2.173026128837125e-17
relative error = 1.3385606518217647850764471708362e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.683
y[1] (analytic) = -0.1635764531941154187126315675798
y[1] (numeric) = -0.16357645319411544049329627907973
absolute error = 2.178066471149993e-17
relative error = 1.3315281194936361748646664596945e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.684
y[1] (analytic) = -0.16481263712064828116303441966928
y[1] (numeric) = -0.16481263712064830299404420309486
absolute error = 2.183100978342558e-17
relative error = 1.3245956235409643666080340508478e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=640.9MB, alloc=4.7MB, time=81.78
x[1] = 4.685
y[1] (analytic) = -0.16604905607331510130228926119371
y[1] (numeric) = -0.16604905607331512318358569556066
absolute error = 2.188129643436695e-17
relative error = 1.3177609648503977124072939826298e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.686
y[1] (analytic) = -0.16728570882685117325709769638959
y[1] (numeric) = -0.16728570882685119518862229099029
absolute error = 2.193152459460070e-17
relative error = 1.3110220082996385696712798378530e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.687
y[1] (analytic) = -0.1685225941553581404262260341313
y[1] (numeric) = -0.16852259415535816240792022859273
absolute error = 2.198169419446143e-17
relative error = 1.3043766804465920131189281122915e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.688
y[1] (analytic) = -0.16975971083230521062446674671739
y[1] (numeric) = -0.16975971083230523265627191105912
absolute error = 2.203180516434173e-17
relative error = 1.2978229673179371114216319614076e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.689
y[1] (analytic) = -0.17099705763053037225889605906576
y[1] (numeric) = -0.17099705763053039434075349375817
absolute error = 2.208185743469241e-17
relative error = 1.2913589122921752057555684224078e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.69
y[1] (analytic) = -0.17223463332224161153622184659338
y[1] (numeric) = -0.17223463332224163366807278261581
absolute error = 2.213185093602243e-17
relative error = 1.2849826140724521510448249857425e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.691
y[1] (analytic) = -0.17347243667901813070001458909425
y[1] (numeric) = -0.17347243667901815288180018799334
absolute error = 2.218178559889909e-17
relative error = 1.2786922247447755666102455332321e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.692
y[1] (analytic) = -0.17471046647181156729661269816623
y[1] (numeric) = -0.1747104664718115895282740521143
absolute error = 2.223166135394807e-17
relative error = 1.2724859479174367868159556771975e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.693
y[1] (analytic) = -0.1759487214709472144684921071721
y[1] (numeric) = -0.17594872147094723674997023902564
absolute error = 2.228147813185354e-17
relative error = 1.2663620369377150868606619151810e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.694
y[1] (analytic) = -0.17718720044612524227388858535676
y[1] (numeric) = -0.17718720044612526460512444871502
absolute error = 2.233123586335826e-17
relative error = 1.2603187931821405442903475433737e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.695
y[1] (analytic) = -0.17842590216642192003145981158143
y[1] (numeric) = -0.17842590216642194241239429084509
absolute error = 2.238093447926366e-17
relative error = 1.2543545644167992211665032530204e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.696
y[1] (analytic) = -0.17966482540029083968877281817931
y[1] (numeric) = -0.17966482540029086211934672860918
absolute error = 2.243057391042987e-17
relative error = 1.2484677432243540088627594335881e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.697
y[1] (analytic) = -0.18090396891556414021340099168705
y[1] (numeric) = -0.18090396891556416269355507946297
absolute error = 2.248015408777592e-17
relative error = 1.2426567654946475630624483772432e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.698
y[1] (analytic) = -0.18214333147945373300541339466523
y[1] (numeric) = -0.18214333147945375553508833694497
absolute error = 2.252967494227974e-17
relative error = 1.2369201089758890833178362994255e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.699
y[1] (analytic) = -0.18338291185855252833003775148884
y[1] (numeric) = -0.18338291185855255090917415646711
absolute error = 2.257913640497827e-17
relative error = 1.2312562918836232105675776555209e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7
y[1] (analytic) = -0.18462270881883566276927702086938
y[1] (numeric) = -0.18462270881883568539781542783697
absolute error = 2.262853840696759e-17
relative error = 1.2256638715648056218245610450441e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.701
y[1] (analytic) = -0.18586272112566172769125805896432
y[1] (numeric) = -0.18586272112566175036913893836726
absolute error = 2.267788087940294e-17
relative error = 1.2201414432144481421746075126278e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.702
y[1] (analytic) = -0.18710294754377399873608945923887
y[1] (numeric) = -0.18710294754377402146325321273774
absolute error = 2.272716375349887e-17
relative error = 1.2146876386424482427852825826421e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.703
y[1] (analytic) = -0.18834338683730166631700423877234
y[1] (numeric) = -0.18834338683730168909339119930162
absolute error = 2.277638696052928e-17
relative error = 1.2093011250883158322561174190243e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.704
y[1] (analytic) = -0.18958403776976106713556162544719
y[1] (numeric) = -0.18958403776976108996111205727471
absolute error = 2.282555043182752e-17
relative error = 1.2039806040816495820879228079509e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.705
y[1] (analytic) = -0.190824899104056916709680786426
y[1] (numeric) = -0.19082489910405693958433488521251
absolute error = 2.287465409878651e-17
relative error = 1.1987248103463138332485936462049e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.706
y[1] (analytic) = -0.19206596960248354291327792551174
y[1] (numeric) = -0.19206596960248356583697581837055
absolute error = 2.292369789285881e-17
relative error = 1.1935325107463696723043489330660e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.707
y[1] (analytic) = -0.19330724802672612052627676540082
y[1] (numeric) = -0.19330724802672614349895851095752
absolute error = 2.297268174555670e-17
relative error = 1.1884025032719187614932352724503e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.708
y[1] (analytic) = -0.19454873313786190679376102047971
y[1] (numeric) = -0.19454873313786192981536660893195
absolute error = 2.302160558845224e-17
relative error = 1.1833336160631062619995775340568e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.709
y[1] (analytic) = -0.19579042369636147799303605668479
y[1] (numeric) = -0.19579042369636150106350540986221
absolute error = 2.307046935317742e-17
relative error = 1.1783247064706237743120155136542e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.71
y[1] (analytic) = -0.19703231846208996700736552704464
y[1] (numeric) = -0.19703231846208999012663849846886
absolute error = 2.311927297142422e-17
relative error = 1.1733746601511207009374467060676e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.711
y[1] (analytic) = -0.19827441619430830190514736485486
y[1] (numeric) = -0.19827441619430832507316373979952
absolute error = 2.316801637494466e-17
relative error = 1.1684823901960239335918294982808e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=644.7MB, alloc=4.7MB, time=82.27
x[1] = 4.712
y[1] (analytic) = -0.19951671565167444552329211100008
y[1] (numeric) = -0.19951671565167446873999160655106
absolute error = 2.321669949555098e-17
relative error = 1.1636468362923421888449538521742e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.713
y[1] (analytic) = -0.20075921559224463605356514773863
y[1] (numeric) = -0.20075921559224465931888741285425
absolute error = 2.326532226511562e-17
relative error = 1.1588669639140771531817723087155e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.714
y[1] (analytic) = -0.20200191477347462863065300830207
y[1] (numeric) = -0.20200191477347465194453762387343
absolute error = 2.331388461557136e-17
relative error = 1.1541417635429643902110684014549e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.715
y[1] (analytic) = -0.20324481195222093792071252993891
y[1] (numeric) = -0.20324481195222096128309900885035
absolute error = 2.336238647891144e-17
relative error = 1.1494702499173017534592363586514e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.716
y[1] (analytic) = -0.20448790588474208170916021754908
y[1] (numeric) = -0.20448790588474210511998800473866
absolute error = 2.341082778718958e-17
relative error = 1.1448514613076872926780811413584e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.717
y[1] (analytic) = -0.20573119532669982548645778581575
y[1] (numeric) = -0.20573119532669984894566625833585
absolute error = 2.345920847252010e-17
relative error = 1.1402844588185581982307402474803e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.718
y[1] (analytic) = -0.20697467903316042803064844974575
y[1] (numeric) = -0.20697467903316045153817691682381
absolute error = 2.350752846707806e-17
relative error = 1.1357683257144611209937208067129e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.719
y[1] (analytic) = -0.208218355758595887985397136781
y[1] (numeric) = -0.20821835575859591154118483988022
absolute error = 2.355578770309922e-17
relative error = 1.1313021667700286471828397520747e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.72
y[1] (analytic) = -0.20946222425688519143228639814157
y[1] (numeric) = -0.2094622242568852150362725110218
absolute error = 2.360398611288023e-17
relative error = 1.1268851076427136732827244017910e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.721
y[1] (analytic) = -0.21070628328131556045611840281058
y[1] (numeric) = -0.2107062832813155841082420315893
absolute error = 2.365212362877872e-17
relative error = 1.1225162942673422773874164837079e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.722
y[1] (analytic) = -0.21195053158458370270197200457126
y[1] (numeric) = -0.21195053158458372640217218778456
absolute error = 2.370020018321330e-17
relative error = 1.1181948922716050639827479940863e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.723
y[1] (analytic) = -0.21319496791879706192276248076021
y[1] (numeric) = -0.21319496791879708567097818942396
absolute error = 2.374821570866375e-17
relative error = 1.1139200864116599778277932514919e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.724
y[1] (analytic) = -0.2144395910354750695160501509105
y[1] (numeric) = -0.21443959103547509331222028858155
absolute error = 2.379617013767105e-17
relative error = 1.1096910800270278998746104401731e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.725
y[1] (analytic) = -0.21568439968555039704884269422416
y[1] (numeric) = -0.21568439968555042089290609706162
absolute error = 2.384406340283746e-17
relative error = 1.1055070945140254322038257292062e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.726
y[1] (analytic) = -0.21692939261937020976913459683862
y[1] (numeric) = -0.21692939261937023366103003366524
absolute error = 2.389189543682662e-17
relative error = 1.1013673688170022702268647576804e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.727
y[1] (analytic) = -0.21817456858669742110292577313745
y[1] (numeric) = -0.21817456858669744504259194550112
absolute error = 2.393966617236367e-17
relative error = 1.0972711589366847780408047195424e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.728
y[1] (analytic) = -0.21941992633671194813546001990379
y[1] (numeric) = -0.21941992633671197212283556213909
absolute error = 2.398737554223530e-17
relative error = 1.0932177374549544141460627440320e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.729
y[1] (analytic) = -0.22066546461801196807542257792685
y[1] (numeric) = -0.22066546461801199211044605721667
absolute error = 2.403502347928982e-17
relative error = 1.0892063930754275774442106462209e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.73
y[1] (analytic) = -0.22191118217861517570083469275032
y[1] (numeric) = -0.2219111821786151997834446091876
absolute error = 2.408260991643728e-17
relative error = 1.0852364301792286625132322127601e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.731
y[1] (analytic) = -0.22315707776596004178538168459732
y[1] (numeric) = -0.22315707776596006591551647124687
absolute error = 2.413013478664955e-17
relative error = 1.0813071683953694021231964024070e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.732
y[1] (analytic) = -0.2244031501269070725039096571221
y[1] (numeric) = -0.22440315012690709668150768008253
absolute error = 2.417759802296043e-17
relative error = 1.0774179421851803020327129109071e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.733
y[1] (analytic) = -0.22564939800774006981582459552541
y[1] (numeric) = -0.22564939800774009404082415399107
absolute error = 2.422499955846566e-17
relative error = 1.0735681004402551428501937927000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.734
y[1] (analytic) = -0.22689582015416739282512622673032
y[1] (numeric) = -0.22689582015416741709746555305341
absolute error = 2.427233932632309e-17
relative error = 1.0697570060934099685669234224018e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.735
y[1] (analytic) = -0.22814241531132322011580763775018
y[1] (numeric) = -0.2281424153113232444354248975029
absolute error = 2.431961725975272e-17
relative error = 1.0659840357421552559646045778663e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.736
y[1] (analytic) = -0.22938918222376881306135027309164
y[1] (numeric) = -0.22938918222376883742818356512847
absolute error = 2.436683329203683e-17
relative error = 1.0622485792842235962002064065140e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.737
y[1] (analytic) = -0.2306361196354937801070425580257
y[1] (numeric) = -0.23063611963549380452102991454566
absolute error = 2.441398735651996e-17
relative error = 1.0585500395646946952162887789394e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.738
y[1] (analytic) = -0.23188322628991734202384902182932
y[1] (numeric) = -0.23188322628991736648492840843848
absolute error = 2.446107938660916e-17
relative error = 1.0548878320343073181296568928320e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=648.5MB, alloc=4.7MB, time=82.75
x[1] = 4.739
y[1] (analytic) = -0.2331305009298895981325554236529
y[1] (numeric) = -0.23313050092988962264066473942684
absolute error = 2.450810931577394e-17
relative error = 1.0512613844185225601574491308504e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.74
y[1] (analytic) = -0.23437794229769279349691401350386
y[1] (numeric) = -0.23437794229769281805199109105024
absolute error = 2.455507707754638e-17
relative error = 1.0476701363969649943965058016839e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.741
y[1] (analytic) = -0.2356255491350425870845116919582
y[1] (numeric) = -0.23562554913504261168649429747949
absolute error = 2.460198260552129e-17
relative error = 1.0441135392928595635608526141066e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.742
y[1] (analytic) = -0.23687332018308932089408246462057
y[1] (numeric) = -0.23687332018308934554290829797679
absolute error = 2.464882583335622e-17
relative error = 1.0405910557720940892382096996763e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.743
y[1] (analytic) = -0.23812125418241929004798422105064
y[1] (numeric) = -0.23812125418241931474359091582221
absolute error = 2.469560669477157e-17
relative error = 1.0371021595515714038166920070706e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.744
y[1] (analytic) = -0.23936934987305601384855850286208
y[1] (numeric) = -0.23936934987305603859088362641276
absolute error = 2.474232512355068e-17
relative error = 1.0336463351165133967674597165812e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.745
y[1] (analytic) = -0.24061760599446150779709056198152
y[1] (numeric) = -0.24061760599446153258607161552142
absolute error = 2.478898105353990e-17
relative error = 1.0302230774463980099681244500676e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.746
y[1] (analytic) = -0.24186602128553755657408564762995
y[1] (numeric) = -0.24186602128553758140966006627866
absolute error = 2.483557441864871e-17
relative error = 1.0268318917492260337700762929563e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.747
y[1] (analytic) = -0.24311459448462698797957609946076
y[1] (numeric) = -0.24311459448462701286168125231054
absolute error = 2.488210515284978e-17
relative error = 1.0234722932038193694948788026551e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.748
y[1] (analytic) = -0.24436332432951494783217246445749
y[1] (numeric) = -0.2443633243295149727607456546365
absolute error = 2.492857319017901e-17
relative error = 1.0201438067098705317606629938428e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.749
y[1] (analytic) = -0.24561220955743017582557049666347
y[1] (numeric) = -0.24561220955743020080054896139922
absolute error = 2.497497846473575e-17
relative error = 1.0168459666454808605434081301487e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.75
y[1] (analytic) = -0.24686124890504628234122454158609
y[1] (numeric) = -0.24686124890504630736254545226881
absolute error = 2.502132091068272e-17
relative error = 1.0135783166319077859908384618870e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.751
y[1] (analytic) = -0.24811044110848302621589645119112
y[1] (numeric) = -0.24811044110848305128349691343735
absolute error = 2.506760046224623e-17
relative error = 1.0103404093052960834097022711824e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.752
y[1] (analytic) = -0.24935978490330759346278782078174
y[1] (numeric) = -0.24935978490330761857660487449792
absolute error = 2.511381705371618e-17
relative error = 1.0071318060951319717873002158388e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.753
y[1] (analytic) = -0.25060927902453587694496198574107
y[1] (numeric) = -0.25060927902453590210493260518723
absolute error = 2.515997061944616e-17
relative error = 1.0039520770092026615657084443289e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.754
y[1] (analytic) = -0.25185892220663375699976086411094
y[1] (numeric) = -0.25185892220663378220582195796453
absolute error = 2.520606109385359e-17
relative error = 1.0008008004248373246028901644098e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.755
y[1] (analytic) = -0.25310871318351838301292038028294
y[1] (numeric) = -0.25310871318351840826500879170269
absolute error = 2.525208841141975e-17
relative error = 9.9767756288621058608461039716173e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.756
y[1] (analytic) = -0.25435865068855945594108685569316
y[1] (numeric) = -0.25435865068855948123913936238303
absolute error = 2.529805250668987e-17
relative error = 9.9458195890751066451179880456063e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.757
y[1] (analytic) = -0.25560873345458051178143540434128
y[1] (numeric) = -0.2556087334545805371253887186145
absolute error = 2.534395331427322e-17
relative error = 9.9151359078177287653224654330415e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.758
y[1] (analytic) = -0.25685896021386020598709002419895
y[1] (numeric) = -0.25685896021386023137688079304217
absolute error = 2.538979076884322e-17
relative error = 9.8847206839518995109424930371457e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.759
y[1] (analytic) = -0.25810932969813359882704373013433
y[1] (numeric) = -0.25810932969813362426260853527183
absolute error = 2.543556480513750e-17
relative error = 9.8545700904671427736299593734400e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.76
y[1] (analytic) = -0.25935984063859344168927572985987
y[1] (numeric) = -0.25935984063859346717055108781784
absolute error = 2.548127535795797e-17
relative error = 9.8246803727277921951319945725824e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.761
y[1] (analytic) = -0.26061049176589146432576130161169
y[1] (numeric) = -0.26061049176589148985268366378264
absolute error = 2.552692236217095e-17
relative error = 9.7950478467697275528967026800096e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.762
y[1] (analytic) = -0.2618612818101396630380686907927
y[1] (numeric) = -0.2618612818101396886105744434999
absolute error = 2.557250575270720e-17
relative error = 9.7656688976449492352425065210775e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.763
y[1] (analytic) = -0.26311220950091158980223600265876
y[1] (numeric) = -0.26311220950091161542026146722081
absolute error = 2.561802546456205e-17
relative error = 9.7365399778125053883033997496725e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.764
y[1] (analytic) = -0.26436327356724364233161972930124
y[1] (numeric) = -0.26436327356724366799510116209671
absolute error = 2.566348143279547e-17
relative error = 9.7076576055742052388110565258878e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.765
y[1] (analytic) = -0.26561447273763635507640521168012
y[1] (numeric) = -0.26561447273763638078527880421227
absolute error = 2.570887359253215e-17
relative error = 9.6790183635536966283623993400325e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=652.3MB, alloc=4.7MB, time=83.24
x[1] = 4.766
y[1] (analytic) = -0.26686580574005569115846800129233
y[1] (numeric) = -0.26686580574005571691266988025391
absolute error = 2.575420187896158e-17
relative error = 9.6506188972175081101631764712569e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.767
y[1] (analytic) = -0.26811727130193433524027375122158
y[1] (numeric) = -0.26811727130193436103973997855972
absolute error = 2.579946622733814e-17
relative error = 9.6224559134367146769804486453074e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.768
y[1] (analytic) = -0.26936886815017298732650293281027
y[1] (numeric) = -0.26936886815017301317116950579143
absolute error = 2.584466657298116e-17
relative error = 9.5945261790879165060159428159599e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.769
y[1] (analytic) = -0.2706205950111416574970853420228
y[1] (numeric) = -0.27062059501114168338688819329788
absolute error = 2.588980285127508e-17
relative error = 9.5668265196923304953326079098906e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.77
y[1] (analytic) = -0.27187245061068096157032802873513
y[1] (numeric) = -0.27187245061068098750520302640457
absolute error = 2.593487499766944e-17
relative error = 9.5393538180916905615415845308489e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.771
y[1] (analytic) = -0.27312443367410341769481895268801
y[1] (numeric) = -0.27312443367410344367470190036706
absolute error = 2.597988294767905e-17
relative error = 9.5121050131599266373831617003981e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.772
y[1] (analytic) = -0.27437654292619474386878734168476
y[1] (numeric) = -0.27437654292619476989361397856875
absolute error = 2.602482663688399e-17
relative error = 9.4850770985493739699269261327338e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.773
y[1] (analytic) = -0.27562877709121515638560040079834
y[1] (numeric) = -0.27562877709121518245530640172806
absolute error = 2.606970600092972e-17
relative error = 9.4582671214705374735900032021905e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.774
y[1] (analytic) = -0.27688113489290066920407469588021
y[1] (numeric) = -0.27688113489290069531859567140744
absolute error = 2.611452097552723e-17
relative error = 9.4316721815043440172464627673482e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.775
y[1] (analytic) = -0.27813361505446439424227921053602
y[1] (numeric) = -0.27813361505446442040155070698906
absolute error = 2.615927149645304e-17
relative error = 9.4052894294458100958128419661304e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.776
y[1] (analytic) = -0.27938621629859784259350575295184
y[1] (numeric) = -0.27938621629859786879746325250116
absolute error = 2.620395749954932e-17
relative error = 9.3791160661782547540036284404541e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.777
y[1] (analytic) = -0.28063893734747222666308106752238
y[1] (numeric) = -0.28063893734747225291165998824635
absolute error = 2.624857892072397e-17
relative error = 9.3531493415770648103968790676967e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.778
y[1] (analytic) = -0.28189177692273976322469368615005
y[1] (numeric) = -0.28189177692273978951782938210074
absolute error = 2.629313569595069e-17
relative error = 9.3273865534421214905241688029139e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.779
y[1] (analytic) = -0.28314473374553497739490723535282
y[1] (numeric) = -0.2831447337455350037325349966219
absolute error = 2.633762776126908e-17
relative error = 9.3018250464580320279435646353679e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.78
y[1] (analytic) = -0.28439780653647600752453059794193
y[1] (numeric) = -0.28439780653647603390658565072669
absolute error = 2.638205505278476e-17
relative error = 9.2764622111813218031410040331050e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.781
y[1] (analytic) = -0.28565099401566591100551401200832
y[1] (numeric) = -0.28565099401566593743193151867766
absolute error = 2.642641750666934e-17
relative error = 9.2512954830537156411112181467185e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.782
y[1] (analytic) = -0.28690429490269397099203887529144
y[1] (numeric) = -0.28690429490269399746275393445207
absolute error = 2.647071505916063e-17
relative error = 9.2263223414408619759179426713541e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.783
y[1] (analytic) = -0.28815770791663700403446770969818
y[1] (numeric) = -0.28815770791663703054941535626084
absolute error = 2.651494764656266e-17
relative error = 9.2015403086955909839152152621700e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.784
y[1] (analytic) = -0.28941123177606066862481942879326
y[1] (numeric) = -0.289411231776060695183934634039
absolute error = 2.655911520524574e-17
relative error = 9.1769469492450568189400512881343e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.785
y[1] (analytic) = -0.29066486519902077465243374049847
y[1] (numeric) = -0.29066486519902080125565141214509
absolute error = 2.660321767164662e-17
relative error = 9.1525398687010775289054194904679e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.786
y[1] (analytic) = -0.29191860690306459376848720801843
y[1] (numeric) = -0.2919186069030646204157421902869
absolute error = 2.664725498226847e-17
relative error = 9.1283167129928928743616320223389e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.787
y[1] (analytic) = -0.29317245560523217065802218415522
y[1] (numeric) = -0.2931724556052321973492492578363
absolute error = 2.669122707368108e-17
relative error = 9.1042751675218184399105341338568e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.788
y[1] (analytic) = -0.29442641002205763521814852768754
y[1] (numeric) = -0.29442641002205766195328241020842
absolute error = 2.673513388252088e-17
relative error = 9.0804129563370200498622673065663e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.789
y[1] (analytic) = -0.29568046886957051564107670537094
y[1] (numeric) = -0.2956804688695705424200520508619
absolute error = 2.677897534549096e-17
relative error = 9.0567278413318545646787994610617e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.79
y[1] (analytic) = -0.29693463086329705240063957936783
y[1] (numeric) = -0.29693463086329707922339097872912
absolute error = 2.682275139936129e-17
relative error = 9.0332176214602481822340873507716e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.791
y[1] (analytic) = -0.29818889471826151314095887754089
y[1] (numeric) = -0.29818889471826154000742085850961
absolute error = 2.686646198096872e-17
relative error = 9.0098801319723928524006224236626e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.792
y[1] (analytic) = -0.29944325914898750846591104304123
y[1] (numeric) = -0.29944325914898753537601807025824
absolute error = 2.691010702721701e-17
relative error = 8.9867132436692888936534949037944e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=656.1MB, alloc=4.7MB, time=83.73
x[1] = 4.793
y[1] (analytic) = -0.30069772286949930862804585999703
y[1] (numeric) = -0.30069772286949933558173233507411
absolute error = 2.695368647507708e-17
relative error = 8.9637148621756573353732508923515e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.794
y[1] (analytic) = -0.30195228459332316111560995386043
y[1] (numeric) = -0.30195228459332318811281021544732
absolute error = 2.699720026158689e-17
relative error = 8.9408829272305026791948694518651e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.795
y[1] (analytic) = -0.30320694303348860913632596810012
y[1] (numeric) = -0.30320694303348863617697429195181
absolute error = 2.704064832385169e-17
relative error = 8.9182154119950688921860832130611e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.796
y[1] (analytic) = -0.3044616969025298109965769234396
y[1] (numeric) = -0.30446169690252983808060752248362
absolute error = 2.708403059904402e-17
relative error = 8.8957103223774929115035309710011e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.797
y[1] (analytic) = -0.3057165449124868603746439717344
y[1] (numeric) = -0.30571654491248688750199099613814
absolute error = 2.712734702440374e-17
relative error = 8.8733656963737768629224920090355e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.798
y[1] (analytic) = -0.30697148577490710748664446385964
y[1] (numeric) = -0.30697148577490713465724200109794
absolute error = 2.717059753723830e-17
relative error = 8.8511796034246894810616987086705e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.799
y[1] (analytic) = -0.30822651820084648114381595964435
y[1] (numeric) = -0.30822651820084650835759803456694
absolute error = 2.721378207492259e-17
relative error = 8.8291501437879373575825038866649e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8
y[1] (analytic) = -0.30948164090087081169979051793909
y[1] (numeric) = -0.30948164090087083895669109283828
absolute error = 2.725690057489919e-17
relative error = 8.8072754479254459759350098079704e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.801
y[1] (analytic) = -0.31073685258505715488650231634577
y[1] (numeric) = -0.31073685258505718218645529102414
absolute error = 2.729995297467837e-17
relative error = 8.7855536759051223260519388727933e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.802
y[1] (analytic) = -0.3119921519629951165373703629695
y[1] (numeric) = -0.31199215196299514388030957480771
absolute error = 2.734293921183821e-17
relative error = 8.7639830168168177839478848703180e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.803
y[1] (analytic) = -0.31324753774378817819639677677718
y[1] (numeric) = -0.31324753774378820558225600080184
absolute error = 2.738585922402466e-17
relative error = 8.7425616882020431310289514179197e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.804
y[1] (analytic) = -0.31450300863605502361181982876638
y[1] (numeric) = -0.31450300863605505104053277771801
absolute error = 2.742871294895163e-17
relative error = 8.7212879354970875072263874749331e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.805
y[1] (analytic) = -0.31575856334793086611295965316266
y[1] (numeric) = -0.31575856334793089358445997756373
absolute error = 2.747150032440107e-17
relative error = 8.7001600314891627655482498181726e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.806
y[1] (analytic) = -0.31701420058706877686889325627633
y[1] (numeric) = -0.31701420058706880438311454449939
absolute error = 2.751422128822306e-17
relative error = 8.6791762757852253922545158987254e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.807
y[1] (analytic) = -0.3182699190606410140275941704613
y[1] (numeric) = -0.31826991906064104158446994879715
absolute error = 2.755687577833585e-17
relative error = 8.6583349942931137835726844018935e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.808
y[1] (analytic) = -0.31952571747534035273417082183152
y[1] (numeric) = -0.31952571747534038033363455455756
absolute error = 2.759946373272604e-17
relative error = 8.6376345387147280905044781541224e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.809
y[1] (analytic) = -0.3207815945373814160268364030067
y[1] (numeric) = -0.32078159453738144366882149245524
absolute error = 2.764198508944854e-17
relative error = 8.6170732860508167296375109552831e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.81
y[1] (analytic) = -0.32203754895250200660924176617827
y[1] (numeric) = -0.32203754895250203429368155280499
absolute error = 2.768443978662672e-17
relative error = 8.5966496381171861660577794022088e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.811
y[1] (analytic) = -0.32329357942596443949780157721329
y[1] (numeric) = -0.32329357942596446722462933966581
absolute error = 2.772682776245252e-17
relative error = 8.5763620210719581249828987102103e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.812
y[1] (analytic) = -0.32454968466255687554264269834784
y[1] (numeric) = -0.32454968466255690331179165353426
absolute error = 2.776914895518642e-17
relative error = 8.5562088849535498999129427012419e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.813
y[1] (analytic) = -0.32580586336659465582080249526416
y[1] (numeric) = -0.32580586336659468363220579842181
absolute error = 2.781140330315765e-17
relative error = 8.5361887032292105815120496259822e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.814
y[1] (analytic) = -0.32706211424192163690030349400106
y[1] (numeric) = -0.32706211424192166475389423876525
absolute error = 2.785359074476419e-17
relative error = 8.5162999723536972257024675607589e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.815
y[1] (analytic) = -0.32831843599191152697372954421351
y[1] (numeric) = -0.32831843599191155486944076268637
absolute error = 2.789571121847286e-17
relative error = 8.4965412113379159871622379364922e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.816
y[1] (analytic) = -0.32957482731946922285992737777925
y[1] (numeric) = -0.32957482731946925079769204059869
absolute error = 2.793776466281944e-17
relative error = 8.4769109613272491922812533206593e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.817
y[1] (analytic) = -0.33083128692703214787245618564792
y[1] (numeric) = -0.33083128692703217585220720205663
absolute error = 2.797975101640871e-17
relative error = 8.4574077851892825379965632110023e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.818
y[1] (analytic) = -0.33208781351657159055340657114343
y[1] (numeric) = -0.33208781351657161857507678905799
absolute error = 2.802167021791456e-17
relative error = 8.4380302671107334004479783301721e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.819
y[1] (analytic) = -0.33334440578959404427120897466526
y[1] (numeric) = -0.33334440578959407233473118074531
absolute error = 2.806352220608005e-17
relative error = 8.4187770122033061005385895242212e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=659.9MB, alloc=4.7MB, time=84.22
x[1] = 4.82
y[1] (analytic) = -0.33460106244714254768105040289026
y[1] (numeric) = -0.33460106244714257578635732260773
absolute error = 2.810530691971747e-17
relative error = 8.3996466461182588805832640437225e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.821
y[1] (analytic) = -0.33585778218979802604651703515498
y[1] (numeric) = -0.33585778218979805419354133286347
absolute error = 2.814702429770849e-17
relative error = 8.3806378146694855674504971661376e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.822
y[1] (analytic) = -0.3371145637176806334210790207019
y[1] (numeric) = -0.33711456371768066160975329970609
absolute error = 2.818867427900419e-17
relative error = 8.3617491834648316557679216205256e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.823
y[1] (analytic) = -0.33837140573045109568803252290179
y[1] (numeric) = -0.3383714057304511239182893255269
absolute error = 2.823025680262511e-17
relative error = 8.3429794375454761862698818078631e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.824
y[1] (analytic) = -0.33962830692731205445751281042105
y[1] (numeric) = -0.33962830692731208272928461808248
absolute error = 2.827177180766143e-17
relative error = 8.3243272810332068347930203397450e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.825
y[1] (analytic) = -0.34088526600700941181919094058956
y[1] (numeric) = -0.34088526600700944013241017386251
absolute error = 2.831321923327295e-17
relative error = 8.3057914367852915277812631346939e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.826
y[1] (analytic) = -0.34214228166783367594926532694115
y[1] (numeric) = -0.34214228166783370430386434563033
absolute error = 2.835459901868918e-17
relative error = 8.2873706460568455656312730351657e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.827
y[1] (analytic) = -0.34339935260762130757035823104882
y[1] (numeric) = -0.34339935260762133596626933425833
absolute error = 2.839591110320951e-17
relative error = 8.2690636681704970764292523806876e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.828
y[1] (analytic) = -0.34465647752375606726292596836127
y[1] (numeric) = -0.34465647752375609570008139456449
absolute error = 2.843715542620322e-17
relative error = 8.2508692801930983421082610801367e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.829
y[1] (analytic) = -0.3459136551131703636267903687669
y[1] (numeric) = -0.34591365511317039210512229587644
absolute error = 2.847833192710954e-17
relative error = 8.2327862766193678691676296476774e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.83
y[1] (analytic) = -0.34717088407234660229139778506942
y[1] (numeric) = -0.34717088407234663081083833050719
absolute error = 2.851944054543777e-17
relative error = 8.2148134690622937062191323463228e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.831
y[1] (analytic) = -0.34842816309731853577341069645616
y[1] (numeric) = -0.34842816309731856433389191722351
absolute error = 2.856048122076735e-17
relative error = 8.1969496859500988694619892981844e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.832
y[1] (analytic) = -0.34968549088367261418023570937787
y[1] (numeric) = -0.34968549088367264278168960212584
absolute error = 2.860145389274797e-17
relative error = 8.1791937722296325689897432913915e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.833
y[1] (analytic) = -0.35094286612654933675809051503954
y[1] (numeric) = -0.35094286612654936540044901613907
absolute error = 2.864235850109953e-17
relative error = 8.1615445890759749632034206211880e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.834
y[1] (analytic) = -0.35220028752064460428321112092556
y[1] (numeric) = -0.35220028752064463296640610653797
absolute error = 2.868319498561241e-17
relative error = 8.1440010136082337008086279549799e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.835
y[1] (analytic) = -0.35345775376021107229479943345407
y[1] (numeric) = -0.35345775376021110101876271960147
absolute error = 2.872396328614740e-17
relative error = 8.1265619386111970065578894714737e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.836
y[1] (analytic) = -0.35471526353905950516831002997208
y[1] (numeric) = -0.35471526353905953393297337260789
absolute error = 2.876466334263581e-17
relative error = 8.1092262722628473372912914873196e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.837
y[1] (analytic) = -0.35597281555056013102767372087039
y[1] (numeric) = -0.35597281555056015983296881595003
absolute error = 2.880529509507964e-17
relative error = 8.0919929378675596557917658442801e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.838
y[1] (analytic) = -0.35723040848764399749505426661535
y[1] (numeric) = -0.35723040848764402634091275016682
absolute error = 2.884585848355147e-17
relative error = 8.0748608735947516662239156624699e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.839
y[1] (analytic) = -0.35848804104280432827673337996328
y[1] (numeric) = -0.35848804104280435716308682815805
absolute error = 2.888635344819477e-17
relative error = 8.0578290322230499201141600670738e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.84
y[1] (analytic) = -0.35974571190809788058371791054913
y[1] (numeric) = -0.35974571190809790951049783977292
absolute error = 2.892677992922379e-17
relative error = 8.0408963808896057652258187900056e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.841
y[1] (analytic) = -0.36100341977514630338566187741886
y[1] (numeric) = -0.36100341977514633235279974434257
absolute error = 2.896713786692371e-17
relative error = 8.0240619008446262926461662531618e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.842
y[1] (analytic) = -0.36226116333513749649669478491295
y[1] (numeric) = -0.36226116333513752550412198656374
absolute error = 2.900742720165079e-17
relative error = 8.0073245872109240818776395188146e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.843
y[1] (analytic) = -0.36351894127882697049174642860409
y[1] (numeric) = -0.36351894127882699953939430243641
absolute error = 2.904764787383232e-17
relative error = 7.9906834487483114169475091724817e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.844
y[1] (analytic) = -0.3647767522965392074519571707477
y[1] (numeric) = -0.36477675229653923653975699471447
absolute error = 2.908779982396677e-17
relative error = 7.9741375076228338788887504523952e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.845
y[1] (analytic) = -0.36603459507816902253776143892306
y[1] (numeric) = -0.36603459507816905166564443154693
absolute error = 2.912788299262387e-17
relative error = 7.9576857991806552585976831267855e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.846
y[1] (analytic) = -0.36729246831318292638823097722454
y[1] (numeric) = -0.36729246831318295555612829766924
absolute error = 2.916789732044470e-17
relative error = 7.9413273717265061213172872774063e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=663.7MB, alloc=4.7MB, time=84.72
x[1] = 4.847
y[1] (analytic) = -0.36855037069062048834526315651005
y[1] (numeric) = -0.36855037069062051755310590465172
absolute error = 2.920784274814167e-17
relative error = 7.9250612863065564261537075871729e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.848
y[1] (analytic) = -0.36980830089909570050119842882786
y[1] (numeric) = -0.36980830089909572974891764532664
absolute error = 2.924771921649878e-17
relative error = 7.9088866164957142588666417045236e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.849
y[1] (analytic) = -0.37106625762679834256844979122711
y[1] (numeric) = -0.37106625762679837185597645759862
absolute error = 2.928752666637151e-17
relative error = 7.8928024481890723554927998780260e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.85
y[1] (analytic) = -0.37232423956149534756972590570914
y[1] (numeric) = -0.37232423956149537689699094439615
absolute error = 2.932726503868701e-17
relative error = 7.8768078793975860970408019562031e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.851
y[1] (analytic) = -0.37358224539053216834742830510313
y[1] (numeric) = -0.37358224539053219771436257954728
absolute error = 2.936693427444415e-17
relative error = 7.8609020200477672297945158897528e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.852
y[1] (analytic) = -0.37484027380083414489080189914754
y[1] (numeric) = -0.37484027380083417429733621386113
absolute error = 2.940653431471359e-17
relative error = 7.8450839917853433796908631104451e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.853
y[1] (analytic) = -0.37609832347890787247941678103258
y[1] (numeric) = -0.37609832347890790192548188167045
absolute error = 2.944606510063787e-17
relative error = 7.8293529277827921781641396511399e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.854
y[1] (analytic) = -0.37735639311084257064155812210929
y[1] (numeric) = -0.3773563931108426001270846955408
absolute error = 2.948552657343151e-17
relative error = 7.8137079725506585549752372606394e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.855
y[1] (analytic) = -0.37861448138231145292609973139951
y[1] (numeric) = -0.37861448138231148245101840578054
absolute error = 2.952491867438103e-17
relative error = 7.7981482817525450123235417994977e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.856
y[1] (analytic) = -0.37987258697857309748643564694921
y[1] (numeric) = -0.37987258697857312705067699179428
absolute error = 2.956424134484507e-17
relative error = 7.7826730220237386493431017839530e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.857
y[1] (analytic) = -0.381130708584472818475042917958
y[1] (numeric) = -0.38113070858447284807853744421244
absolute error = 2.960349452625444e-17
relative error = 7.7672813707933477911302731184849e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.858
y[1] (analytic) = -0.38238884488444403824724752999041
y[1] (numeric) = -0.38238884488444406788992569010267
absolute error = 2.964267816011226e-17
relative error = 7.7519725161099106841884604915286e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.859
y[1] (analytic) = -0.38364699456250966037276422043262
y[1] (numeric) = -0.38364699456250969005455640842658
absolute error = 2.968179218799396e-17
relative error = 7.7367456564703380117932356367726e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.86
y[1] (analytic) = -0.38490515630228344345357972770201
y[1] (numeric) = -0.38490515630228347317441627924941
absolute error = 2.972083655154740e-17
relative error = 7.7216000006521818658924251832995e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.861
y[1] (analytic) = -0.38616332878697137574674781554929
y[1] (numeric) = -0.38616332878697140550655900804222
absolute error = 2.975981119249293e-17
relative error = 7.7065347675491100277179439947715e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.862
y[1] (analytic) = -0.38742151069937305059066321311408
y[1] (numeric) = -0.38742151069937308038937926573758
absolute error = 2.979871605262350e-17
relative error = 7.6915491860095423767574853105846e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.863
y[1] (analytic) = -0.38867970072188304263338041220788
y[1] (numeric) = -0.38867970072188307247093148601255
absolute error = 2.983755107380467e-17
relative error = 7.6766424946783404400407219723075e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.864
y[1] (analytic) = -0.38993789753649228486154206560283
y[1] (numeric) = -0.38993789753649231473785826357763
absolute error = 2.987631619797480e-17
relative error = 7.6618139418415541492172699455729e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.865
y[1] (analytic) = -0.39119609982478944642848053390539
y[1] (numeric) = -0.3911960998247894763434919010504
absolute error = 2.991501136714501e-17
relative error = 7.6470627852740533553479505168221e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.866
y[1] (analytic) = -0.3924543062679623112800549338882
y[1] (numeric) = -0.39245430626796234123369145728748
absolute error = 2.995363652339928e-17
relative error = 7.6323882920900747937384398059239e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.867
y[1] (analytic) = -0.39371251554679915757678484794719
y[1] (numeric) = -0.39371251554679918756897645684183
absolute error = 2.999219160889464e-17
relative error = 7.6177897385966077007694277894353e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.868
y[1] (analytic) = -0.39497072634169013791084066264286
y[1] (numeric) = -0.39497072634169016794151722850393
absolute error = 3.003067656586107e-17
relative error = 7.6032664101494596633553260397365e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.869
y[1] (analytic) = -0.3962289373326286603164493140766
y[1] (numeric) = -0.39622893733262869038554065067831
absolute error = 3.006909133660171e-17
relative error = 7.5888176010120956107490348911896e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.87
y[1] (analytic) = -0.39748714719921277007227302914862
y[1] (numeric) = -0.39748714719921280017970889264152
absolute error = 3.010743586349290e-17
relative error = 7.5744426142170687724610839723974e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.871
y[1] (analytic) = -0.39874535462064653229431746454208
y[1] (numeric) = -0.39874535462064656244002755352631
absolute error = 3.014571008898423e-17
relative error = 7.5601407614300324932727103622069e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.872
y[1] (analytic) = -0.40000355827574141531792445958221
y[1] (numeric) = -0.40000355827574144550183841518089
absolute error = 3.018391395559868e-17
relative error = 7.5459113628162970514212927923560e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.873
y[1] (analytic) = -0.4012617568429176748674034349304
y[1] (numeric) = -0.40126175684291770508945084086297
absolute error = 3.022204740593257e-17
relative error = 7.5317537469098067845292784550235e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.874
y[1] (analytic) = -0.40251994900020573901185428639229
memory used=667.6MB, alloc=4.7MB, time=85.20
y[1] (numeric) = -0.4025199490002057692719646690481
absolute error = 3.026011038265581e-17
relative error = 7.5176672504846072177367685366731e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.875
y[1] (analytic) = -0.40377813342524759390573344194938
y[1] (numeric) = -0.40377813342524762420383627046121
absolute error = 3.029810282851183e-17
relative error = 7.5036512184285952252283428950457e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.876
y[1] (analytic) = -0.40503630879529817031271357046412
y[1] (numeric) = -0.40503630879529820064873825678188
absolute error = 3.033602468631776e-17
relative error = 7.4897050036196441787616758919667e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.877
y[1] (analytic) = -0.40629447378722673091138625236404
y[1] (numeric) = -0.40629447378722676128526215132844
absolute error = 3.037387589896440e-17
relative error = 7.4758279668039402269619817103186e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.878
y[1] (analytic) = -0.40755262707751825838135574597915
y[1] (numeric) = -0.40755262707751828879301215539555
absolute error = 3.041165640941640e-17
relative error = 7.4620194764765857985152407989481e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.879
y[1] (analytic) = -0.40881076734227484426827080809362
y[1] (numeric) = -0.40881076734227487471763696880591
absolute error = 3.044936616071229e-17
relative error = 7.4482789087643342241914129157223e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.88
y[1] (analytic) = -0.41006889325721707862634035367603
y[1] (numeric) = -0.4100688932572171091133454496406
absolute error = 3.048700509596457e-17
relative error = 7.4346056473104616951764516148206e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.881
y[1] (analytic) = -0.41132700349768544043687756767648
y[1] (numeric) = -0.41132700349768547096145072603621
absolute error = 3.052457315835973e-17
relative error = 7.4209990831616999451285836015965e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.882
y[1] (analytic) = -0.41258509673864168880141591122307
y[1] (numeric) = -0.41258509673864171936348620238147
absolute error = 3.056207029115840e-17
relative error = 7.4074586146572348777789668217976e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.883
y[1] (analytic) = -0.41384317165467025490793929551812
y[1] (numeric) = -0.41384317165467028550743573321351
absolute error = 3.059949643769539e-17
relative error = 7.3939836473196698969429097708907e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.884
y[1] (analytic) = -0.41510122691997963476876752922558
y[1] (numeric) = -0.41510122691997966540561907060538
absolute error = 3.063685154137980e-17
relative error = 7.3805735937479563137685002555933e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.885
y[1] (analytic) = -0.41635926120840378272863697915905
y[1] (numeric) = -0.41635926120840381340277252485407
absolute error = 3.067413554569502e-17
relative error = 7.3672278735122066684045820818348e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.886
y[1] (analytic) = -0.41761727319340350574151521962401
y[1] (numeric) = -0.41761727319340353645286361382291
absolute error = 3.071134839419890e-17
relative error = 7.3539459130504189643098428827807e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.887
y[1] (analytic) = -0.4188752615480678584146872828423
y[1] (numeric) = -0.41887526154806788916317731336605
absolute error = 3.074849003052375e-17
relative error = 7.3407271455669911098486639745438e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.888
y[1] (analytic) = -0.42013322494511553881864996149063
y[1] (numeric) = -0.42013322494511556960421035986708
absolute error = 3.078556039837645e-17
relative error = 7.3275710109330553104985713348730e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.889
y[1] (analytic) = -0.4213911620568962850613494545214
y[1] (numeric) = -0.42139116205689631588390889605992
absolute error = 3.082255944153852e-17
relative error = 7.3144769555885593871571559230617e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.89
y[1] (analytic) = -0.42264907155539227262529648910407
y[1] (numeric) = -0.42264907155539230348478359297029
absolute error = 3.085948710386622e-17
relative error = 7.3014444324460757733842407753429e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.891
y[1] (analytic) = -0.42390695211221951246609189473036
y[1] (numeric) = -0.42390695211221954336243522402094
absolute error = 3.089634332929058e-17
relative error = 7.2884729007962792845405351673735e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.892
y[1] (analytic) = -0.42516480239862924987089445026825
y[1] (numeric) = -0.42516480239862928080402251208573
absolute error = 3.093312806181748e-17
relative error = 7.2755618262150878774451432362710e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.893
y[1] (analytic) = -0.42642262108550936407536167102988
y[1] (numeric) = -0.42642262108550939504520291655767
absolute error = 3.096984124552779e-17
relative error = 7.2627106804724349467601646186688e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.894
y[1] (analytic) = -0.42768040684338576863759305073849
y[1] (numeric) = -0.42768040684338579964407587531581
absolute error = 3.100648282457732e-17
relative error = 7.2499189414425816388960389293491e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.895
y[1] (analytic) = -0.42893815834242381256760412264014
y[1] (numeric) = -0.42893815834242384361065686583721
absolute error = 3.104305274319707e-17
relative error = 7.2371860930160523181250760286204e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.896
y[1] (analytic) = -0.43019587425242968221085855491105
y[1] (numeric) = -0.43019587425242971329040950060417
absolute error = 3.107955094569312e-17
relative error = 7.2245116250130070433202557981823e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.897
y[1] (analytic) = -0.43145355324285180388438434795877
y[1] (numeric) = -0.43145355324285183500036172440564
absolute error = 3.111597737644687e-17
relative error = 7.2118950330981867746660405398214e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.898
y[1] (analytic) = -0.43271119398278224726399905521107
y[1] (numeric) = -0.43271119398278227841633103512601
absolute error = 3.115233197991494e-17
relative error = 7.1993358186972403214273306073813e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.899
y[1] (analytic) = -0.43396879514095812952116780452737
y[1] (numeric) = -0.43396879514095816070978250515679
absolute error = 3.118861470062942e-17
relative error = 7.1868334889145644543924281992155e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9
y[1] (analytic) = -0.43522635538576302020801675445973
y[1] (numeric) = -0.43522635538576305143284223765754
absolute error = 3.122482548319781e-17
relative error = 7.1743875564524753747508691155226e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.901
y[1] (analytic) = -0.43648387338522834688902347823114
y[1] (numeric) = -0.43648387338522837814998775053438
absolute error = 3.126096427230324e-17
relative error = 7.1619975395318202911540406240669e-15 %
Correct digits = 16
h = 0.001
memory used=671.4MB, alloc=4.7MB, time=85.70
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.902
y[1] (analytic) = -0.43774134780703480151790462849361
y[1] (numeric) = -0.43774134780703483281493564119793
absolute error = 3.129703101270432e-17
relative error = 7.1496629618138520752818987220065e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.903
y[1] (analytic) = -0.43899877731851374755822009767485
y[1] (numeric) = -0.43899877731851377889124574691034
absolute error = 3.133302564923549e-17
relative error = 7.1373833523235402559943286691229e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.904
y[1] (analytic) = -0.44025616058664862784621175202668
y[1] (numeric) = -0.44025616058664865921515987883351
absolute error = 3.136894812680683e-17
relative error = 7.1251582453740538057756865710459e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.905
y[1] (analytic) = -0.4415134962780763731943936823458
y[1] (numeric) = -0.44151349627807640459919207275014
absolute error = 3.140479839040434e-17
relative error = 7.1129871804926215036253290171579e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.906
y[1] (analytic) = -0.44277078305908881173440978075692
y[1] (numeric) = -0.44277078305908884317498616584683
absolute error = 3.144057638508991e-17
relative error = 7.1008697023475667024926760208611e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.907
y[1] (analytic) = -0.4440280195956340789976733209246
y[1] (numeric) = -0.44402801959563411047395537692599
absolute error = 3.147628205600139e-17
relative error = 7.0888053606765859246365088078305e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.908
y[1] (analytic) = -0.44528520455331802873230208859924
y[1] (numeric) = -0.44528520455331806024421743695194
absolute error = 3.151191534835270e-17
relative error = 7.0767937102162335816529833909215e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.909
y[1] (analytic) = -0.44654233659740564445486148050432
y[1] (numeric) = -0.44654233659740567600233768793823
absolute error = 3.154747620743391e-17
relative error = 7.0648343106325737179144650164140e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.91
y[1] (analytic) = -0.44779941439282245173542686223781
y[1] (numeric) = -0.4477994143928224833183914408491
absolute error = 3.158296457861129e-17
relative error = 7.0529267264529761787594112152782e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.911
y[1] (analytic) = -0.44905643660415593121447535009231
y[1] (numeric) = -0.44905643660415596283285575741971
absolute error = 3.161838040732740e-17
relative error = 7.0410705269990506917355301570949e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.912
y[1] (analytic) = -0.45031340189565693235011605749799
y[1] (numeric) = -0.45031340189565696400383969659911
absolute error = 3.165372363910112e-17
relative error = 7.0292652863206747359909554382512e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.913
y[1] (analytic) = -0.45157030893124108789416672416
y[1] (numeric) = -0.45157030893124111958316094368779
absolute error = 3.168899421952779e-17
relative error = 7.0175105831311318419459422697239e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.914
y[1] (analytic) = -0.45282715637449022909558352490097
y[1] (numeric) = -0.4528271563744902608197756191802
absolute error = 3.172419209427923e-17
relative error = 7.0058060007432882531948507512315e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.915
y[1] (analytic) = -0.45408394288865380162974973572928
y[1] (numeric) = -0.45408394288865383338906694483313
absolute error = 3.175931720910385e-17
relative error = 6.9941511270068343703120381648765e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.916
y[1] (analytic) = -0.45534066713665028225212781673785
y[1] (numeric) = -0.45534066713665031404649732656455
absolute error = 3.179436950982670e-17
relative error = 6.9825455542465377448350563288912e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.917
y[1] (analytic) = -0.45659732778106859617477835509687
y[1] (numeric) = -0.45659732778106862800412729744645
absolute error = 3.182934894234958e-17
relative error = 6.9709888792015146908034381674673e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.918
y[1] (analytic) = -0.45785392348416953516424819663936
y[1] (numeric) = -0.45785392348416956702850364929038
absolute error = 3.186425545265102e-17
relative error = 6.9594807029654597129238927471719e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.919
y[1] (analytic) = -0.45911045290788717635932898135118
y[1] (numeric) = -0.45911045290788720825841796813764
absolute error = 3.189908898678646e-17
relative error = 6.9480206309278865385110371113583e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.92
y[1] (analytic) = -0.46036691471383030180718618647054
y[1] (numeric) = -0.46036691471383033374103567735886
absolute error = 3.193384949088832e-17
relative error = 6.9366082727162943407542600779537e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.921
y[1] (analytic) = -0.46162330756328381871635767087535
y[1] (numeric) = -0.46162330756328385068489458204128
absolute error = 3.196853691116593e-17
relative error = 6.9252432421392352726855750999099e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.922
y[1] (analytic) = -0.46287963011721018042511960599245
y[1] (numeric) = -0.46287963011721021242827079989826
absolute error = 3.200315119390581e-17
relative error = 6.9139251571303722846628088654217e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.923
y[1] (analytic) = -0.46413588103625080808371657160404
y[1] (numeric) = -0.4641358810362508401214088570756
absolute error = 3.203769228547156e-17
relative error = 6.9026536396933492578633641976303e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.924
y[1] (analytic) = -0.46539205898072751304895148965097
y[1] (numeric) = -0.46539205898072754512111162195503
absolute error = 3.207216013230406e-17
relative error = 6.8914283158476087411952580212851e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.925
y[1] (analytic) = -0.46664816261064391998962996544608
y[1] (numeric) = -0.46664816261064395209618464636757
absolute error = 3.210655468092149e-17
relative error = 6.8802488155750346505238184240944e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.926
y[1] (analytic) = -0.46790419058568689070135250361131
y[1] (numeric) = -0.46790419058568692284222838153069
absolute error = 3.214087587791938e-17
relative error = 6.8691147727674495218072421041300e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.927
y[1] (analytic) = -0.46916014156522794862914696554342
y[1] (numeric) = -0.46916014156522798080427063551413
absolute error = 3.217512366997071e-17
relative error = 6.8580258251749547734717886762476e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.928
y[1] (analytic) = -0.47041601420832470409643253629568
y[1] (numeric) = -0.47041601420832473630573054012171
absolute error = 3.220929800382603e-17
relative error = 6.8469816143550920467511156952783e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=675.2MB, alloc=4.7MB, time=86.19
NO POLE
x[1] = 4.929
y[1] (analytic) = -0.4716718071737222802388053714384
y[1] (numeric) = -0.47167180717372231248220419775182
absolute error = 3.224339882631342e-17
relative error = 6.8359817856227723539360740237999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.93
y[1] (analytic) = -0.47292751911985473964113499873053
y[1] (numeric) = -0.47292751911985477191856108306919
absolute error = 3.227742608433866e-17
relative error = 6.8250259880010371888808515874174e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.931
y[1] (analytic) = -0.47418314870484651167645945530088
y[1] (numeric) = -0.47418314870484654398783918018615
absolute error = 3.231137972488527e-17
relative error = 6.8141138741725646598122104245015e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.932
y[1] (analytic) = -0.47543869458651382054516604850036
y[1] (numeric) = -0.47543869458651385289042574351495
absolute error = 3.234525969501459e-17
relative error = 6.8032451004319428069951734426265e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.933
y[1] (analytic) = -0.47669415542236611401294353764865
y[1] (numeric) = -0.47669415542236614639200947951442
absolute error = 3.237906594186577e-17
relative error = 6.7924193266386688636054512031229e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.934
y[1] (analytic) = -0.47794952986960749284599044456104
y[1] (numeric) = -0.47794952986960752525878885721704
absolute error = 3.241279841265600e-17
relative error = 6.7816362161709303257039677902646e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.935
y[1] (analytic) = -0.47920481658513814094196311300585
y[1] (numeric) = -0.47920481658513817338842016768634
absolute error = 3.244645705468049e-17
relative error = 6.7708954358800514061125873879035e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.936
y[1] (analytic) = -0.48046001422555575615514605110995
y[1] (numeric) = -0.48046001422555578863518786642241
absolute error = 3.248004181531246e-17
relative error = 6.7601966560456469775820601577683e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.937
y[1] (analytic) = -0.48171512144715698181432600620216
y[1] (numeric) = -0.48171512144715701432787864820556
absolute error = 3.251355264200340e-17
relative error = 6.7495395503315252294879322327352e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.938
y[1] (analytic) = -0.48297013690593883893185013866372
y[1] (numeric) = -0.48297013690593887147883962094671
absolute error = 3.254698948228299e-17
relative error = 6.7389237957421992668198755360438e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.939
y[1] (analytic) = -0.48422505925760015910234758004051
y[1] (numeric) = -0.48422505925760019168269986379972
absolute error = 3.258035228375921e-17
relative error = 6.7283490725801062030687508401052e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.94
y[1] (analytic) = -0.48547988715754301808959258096779
y[1] (numeric) = -0.48547988715754305070323357508625
absolute error = 3.261364099411846e-17
relative error = 6.7178150644034840104223398428844e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.941
y[1] (analytic) = -0.48673461926087417009998637636461
y[1] (numeric) = -0.48673461926087420274684193749018
absolute error = 3.264685556112557e-17
relative error = 6.7073214579848697408029784421671e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.942
y[1] (analytic) = -0.48798925422240648274113381887312
y[1] (numeric) = -0.48798925422240651542112975149703
absolute error = 3.267999593262391e-17
relative error = 6.6968679432702511013806311480794e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.943
y[1] (analytic) = -0.48924379069666037266398975665052
y[1] (numeric) = -0.48924379069666040537705181318595
absolute error = 3.271306205653543e-17
relative error = 6.6864542133388250384019584198182e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.944
y[1] (analytic) = -0.49049822733786524188704905836818
y[1] (numeric) = -0.49049822733786527463310293922891
absolute error = 3.274605388086073e-17
relative error = 6.6760799643633729750119711079924e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.945
y[1] (analytic) = -0.49175256279996091480105311663642
y[1] (numeric) = -0.49175256279996094758002447031564
absolute error = 3.277897135367922e-17
relative error = 6.6657448955712540151613269329641e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.946
y[1] (analytic) = -0.49300679573659907585268459105538
y[1] (numeric) = -0.49300679573659910866449901420442
absolute error = 3.281181442314904e-17
relative error = 6.6554487092059382901892119155076e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.947
y[1] (analytic) = -0.49426092480114470790572108369289
y[1] (numeric) = -0.49426092480114474075030412120013
absolute error = 3.284458303750724e-17
relative error = 6.6451911104891721296775180098161e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.948
y[1] (analytic) = -0.4955149486466775312781173730133
y[1] (numeric) = -0.49551494864667756415539451808314
absolute error = 3.287727714506984e-17
relative error = 6.6349718075836872864062883943679e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.949
y[1] (analytic) = -0.49676886592599344345348476712518
y[1] (numeric) = -0.49676886592599347636338146135704
absolute error = 3.290989669423186e-17
relative error = 6.6247905115564628271255649554893e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.95
y[1] (analytic) = -0.49802267529160595946543507368428
y[1] (numeric) = -0.49802267529160599240787670715169
absolute error = 3.294244163346741e-17
relative error = 6.6146469363425481251485800666612e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.951
y[1] (analytic) = -0.49927637539574765295325562188195
y[1] (numeric) = -0.49927637539574768592816753321172
absolute error = 3.297491191132977e-17
relative error = 6.6045407987094231728403441936454e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.952
y[1] (analytic) = -0.50052996489037159788738071166952
y[1] (numeric) = -0.50052996489037163089468818812096
absolute error = 3.300730747645144e-17
relative error = 6.5944718182218828960786877692963e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.953
y[1] (analytic) = -0.50178344242715281096312380671766
y[1] (numeric) = -0.5017834424271528440027520842619
absolute error = 3.303962827754424e-17
relative error = 6.5844397172074523459018417191358e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.954
y[1] (analytic) = -0.50303680665748969466113373058825
y[1] (numeric) = -0.50303680665748972773300799398763
absolute error = 3.307187426339938e-17
relative error = 6.5744442207223076968062544100650e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.955
y[1] (analytic) = -0.50429005623250548097303707020542
y[1] (numeric) = -0.50429005623250551407708245309288
absolute error = 3.310404538288746e-17
relative error = 6.5644850565176864098110252762870e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=679.0MB, alloc=4.7MB, time=86.68
NO POLE
x[1] = 4.956
y[1] (analytic) = -0.50554318980304967579072793695414
y[1] (numeric) = -0.50554318980304970892686952191276
absolute error = 3.313614158495862e-17
relative error = 6.5545619550068216764790237884105e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.957
y[1] (analytic) = -0.50679620601969950395776518361101
y[1] (numeric) = -0.50679620601969953712592800225361
absolute error = 3.316816281864260e-17
relative error = 6.5446746492323447974769605099781e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.958
y[1] (analytic) = -0.50804910353276135498133612482286
y[1] (numeric) = -0.50804910353276138818144515787163
absolute error = 3.320010903304877e-17
relative error = 6.5348228748341593088893279765340e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.959
y[1] (analytic) = -0.50930188099227222940324475999675
y[1] (numeric) = -0.50930188099227226263522493736299
absolute error = 3.323198017736624e-17
relative error = 6.5250063700178004101458722078394e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.96
y[1] (analytic) = -0.51055453704800118582838145025179
y[1] (numeric) = -0.51055453704800121909215765111566
absolute error = 3.326377620086387e-17
relative error = 6.5152248755232361788537308351795e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.961
y[1] (analytic) = -0.51180707034945078860912995550875
y[1] (numeric) = -0.5118070703494508219046270083992
absolute error = 3.329549705289045e-17
relative error = 6.5054781345941558321705493000804e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.962
y[1] (analytic) = -0.5130594795458585561841666938614
y[1] (numeric) = -0.51305947954585858951130937673607
absolute error = 3.332714268287467e-17
relative error = 6.4957658929476627180008392683360e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.963
y[1] (analytic) = -0.51431176328619841007010604308273
y[1] (numeric) = -0.51431176328619844342881908340791
absolute error = 3.335871304032518e-17
relative error = 6.4860878987444235371384866218520e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.964
y[1] (analytic) = -0.51556392021918212450444446347339
y[1] (numeric) = -0.51556392021918215789465253830414
absolute error = 3.339020807483075e-17
relative error = 6.4764439025592680461487769045548e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.965
y[1] (analytic) = -0.51681594899326077673825518225917
y[1] (numeric) = -0.51681594899326081015988291831946
absolute error = 3.342162773606029e-17
relative error = 6.4668336573521852279629670693318e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.966
y[1] (analytic) = -0.5180678482566261979770841423904
y[1] (numeric) = -0.51806784825662623143005611615331
absolute error = 3.345297197376291e-17
relative error = 6.4572569184397440307077037087194e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.967
y[1] (analytic) = -0.51931961665721242496849688289056
y[1] (numeric) = -0.51931961665721245845273762065851
absolute error = 3.348424073776795e-17
relative error = 6.4477134434669180921468012197742e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.968
y[1] (analytic) = -0.52057125284269715223472498384577
y[1] (numeric) = -0.52057125284269718575015896183095
absolute error = 3.351543397798518e-17
relative error = 6.4382029923793461280355916021658e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.969
y[1] (analytic) = -0.52182275546050318494885967672244
y[1] (numeric) = -0.52182275546050321849541132112717
absolute error = 3.354655164440473e-17
relative error = 6.4287253273959364067455636735157e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.97
y[1] (analytic) = -0.5230741231577998924530391899478
y[1] (numeric) = -0.52307412315779992603063287704504
absolute error = 3.357759368709724e-17
relative error = 6.4192802129819032794431185363994e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.971
y[1] (analytic) = -0.52432535458150466241707537059054
y[1] (numeric) = -0.5243253545815046960256354268044
absolute error = 3.360856005621386e-17
relative error = 6.4098674158221580340059708660103e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.972
y[1] (analytic) = -0.5255764483782843556359640955355
y[1] (numeric) = -0.52557644837828438927541479752192
absolute error = 3.363945070198642e-17
relative error = 6.4004867047951091048890132285768e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.973
y[1] (analytic) = -0.5268274031945567614647229597614
y[1] (numeric) = -0.52682740319455679513498853448881
absolute error = 3.367026557472741e-17
relative error = 6.3911378509467965500746398750947e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.974
y[1] (analytic) = -0.52807821767649205388899870520192
y[1] (numeric) = -0.52807821767649208759000333003198
absolute error = 3.370100462483006e-17
relative error = 6.3818206274654102162573128474058e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.975
y[1] (analytic) = -0.5293288904700142482298858312033
y[1] (numeric) = -0.52932889047001428196155363397179
absolute error = 3.373166780276849e-17
relative error = 6.3725348096561796242042865519525e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.976
y[1] (analytic) = -0.53057942022080265848139680678441
y[1] (numeric) = -0.53057942022080269224365186588207
absolute error = 3.376225505909766e-17
relative error = 6.3632801749165785976328515729038e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.977
y[1] (analytic) = -0.5318298055742933552790232857606
y[1] (numeric) = -0.53182980557429338907178963021409
absolute error = 3.379276634445349e-17
relative error = 6.3540565027119090691524545506176e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.978
y[1] (analytic) = -0.53308004517568062449782670831222
y[1] (numeric) = -0.53308004517568065832102831786518
absolute error = 3.382320160955296e-17
relative error = 6.3448635745512222369331574012379e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.979
y[1] (analytic) = -0.53433013766991842647849565676345
y[1] (numeric) = -0.53433013766991846033205646195759
absolute error = 3.385356080519414e-17
relative error = 6.3357011739635622291324599492203e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.98
y[1] (analytic) = -0.53558008170172185587980631918807
y[1] (numeric) = -0.53558008170172188976365020144435
absolute error = 3.388384388225628e-17
relative error = 6.3265690864745513179144296403364e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.981
y[1] (analytic) = -0.53682987591556860215592140197855
y[1] (numeric) = -0.53682987591556863606997219367838
absolute error = 3.391405079169983e-17
relative error = 6.3174670995832869369807462176416e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.982
y[1] (analytic) = -0.53807951895570041065696182170326
y[1] (numeric) = -0.53807951895570044460114330626986
absolute error = 3.394418148456660e-17
relative error = 6.3083950027395844963112929725419e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=682.8MB, alloc=4.7MB, time=87.18
x[1] = 4.983
y[1] (analytic) = -0.5393290094661245443512844974369
y[1] (numeric) = -0.53932900946612457832552040941661
absolute error = 3.397423591197971e-17
relative error = 6.2993525873214955243148858872444e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.984
y[1] (analytic) = -0.54057834609061524616789855728048
y[1] (numeric) = -0.54057834609061528017211258242426
absolute error = 3.400421402514378e-17
relative error = 6.2903396466131799597508381877256e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.985
y[1] (analytic) = -0.54182752747271520195745126699367
y[1] (numeric) = -0.54182752747271523599156704233853
absolute error = 3.403411577534486e-17
relative error = 6.2813559757830346285471749679573e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.986
y[1] (analytic) = -0.54307655225573700407021398454192
y[1] (numeric) = -0.54307655225573703813415509849256
absolute error = 3.406394111395064e-17
relative error = 6.2724013718621732444711912742742e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.987
y[1] (analytic) = -0.54432541908276461554949744191905
y[1] (numeric) = -0.54432541908276464964318743432949
absolute error = 3.409368999241044e-17
relative error = 6.2634756337231604595912831506506e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.988
y[1] (analytic) = -0.54557412659665483493892465483991
y[1] (numeric) = -0.5455741265966548690622870170952
absolute error = 3.412336236225529e-17
relative error = 6.2545785620590527426187347640184e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.989
y[1] (analytic) = -0.54682267344003876170198876181247
y[1] (numeric) = -0.54682267344003879585494693691042
absolute error = 3.415295817509795e-17
relative error = 6.2457099593627137760109900918348e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.99
y[1] (analytic) = -0.54807105825532326225232209669286
y[1] (numeric) = -0.54807105825532329643479947932592
absolute error = 3.418247738263306e-17
relative error = 6.2368696299064346868866341764322e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.991
y[1] (analytic) = -0.54931927968469243659310180310422
y[1] (numeric) = -0.54931927968469247080502173974141
absolute error = 3.421191993663719e-17
relative error = 6.2280573797218124169216045158563e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.992
y[1] (analytic) = -0.55056733637010908556401630505974
y[1] (numeric) = -0.55056733637010911980530209402858
absolute error = 3.424128578896884e-17
relative error = 6.2192730165798912396078928244666e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.993
y[1] (analytic) = -0.55181522695331617869421595577503
y[1] (numeric) = -0.55181522695331621296479084734361
absolute error = 3.427057489156858e-17
relative error = 6.2105163499715977129038598076469e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.994
y[1] (analytic) = -0.55306295007583832265967019598626
y[1] (numeric) = -0.55306295007583835695945739244535
absolute error = 3.429978719645909e-17
relative error = 6.2017871910884210593669791502356e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.995
y[1] (analytic) = -0.55431050437898323034335256410838
y[1] (numeric) = -0.55431050437898326467227521985362
absolute error = 3.432892265574524e-17
relative error = 6.1930853528033603837362627198032e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.996
y[1] (analytic) = -0.55555788850384319049667391327531
y[1] (numeric) = -0.55555788850384322485465513488943
absolute error = 3.435798122161412e-17
relative error = 6.1844106496521183530341105697441e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.997
y[1] (analytic) = -0.55680510109129653800058320470115
y[1] (numeric) = -0.55680510109129657238754605103626
absolute error = 3.438696284633511e-17
relative error = 6.1757628978145536563916675598146e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.998
y[1] (analytic) = -0.55805214078200912472475426289059
y[1] (numeric) = -0.55805214078200915914062174515062
absolute error = 3.441586748226003e-17
relative error = 6.1671419150963953814819580825410e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.999
y[1] (analytic) = -0.55929900621643579098327589600906
y[1] (numeric) = -0.55929900621643582542797097783216
absolute error = 3.444469508182310e-17
relative error = 6.1585475209111669617440706252117e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 5
y[1] (analytic) = -0.56054569603482183758526180419883
y[1] (numeric) = -0.56054569603482187205870740173986
absolute error = 3.447344559754103e-17
relative error = 6.1499795362623735343703146021020e-15 %
Correct digits = 16
h = 0.001
Finished!
diff ( y , x , 1 ) = (0.2 * x + 0.3) * sin(x);
Iterations = 4900
Total Elapsed Time = 1 Minutes 27 Seconds
Elapsed Time(since restart) = 1 Minutes 27 Seconds
Time to Timeout = 1 Minutes 32 Seconds
Percent Done = 100 %
> quit
memory used=685.3MB, alloc=4.7MB, time=87.48