|\^/| 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_0D1,
> array_const_1D0,
> #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,
> array_tmp4_g,
> 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_0D1, array_const_1D0, 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, array_tmp4_g, 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_0D1,
> array_const_1D0,
> #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,
> array_tmp4_g,
> 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_0D1, array_const_1D0, 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, array_tmp4_g, 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_0D1,
> array_const_1D0,
> #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,
> array_tmp4_g,
> 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_0D1, array_const_1D0, 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, array_tmp4_g, 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_0D1,
> array_const_1D0,
> #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,
> array_tmp4_g,
> 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 > 0.0000000000000000000000000000000001) 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_0D1, array_const_1D0, 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, array_tmp4_g, 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 0.1*10^(-33) < relerr 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_0D1,
> array_const_1D0,
> #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,
> array_tmp4_g,
> 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_0D1, array_const_1D0, 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, array_tmp4_g, 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_0D1,
> array_const_1D0,
> #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,
> array_tmp4_g,
> 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_0D1, array_const_1D0, 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, array_tmp4_g, 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_0D1,
> array_const_1D0,
> #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,
> array_tmp4_g,
> 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
> rad_c := glob_large_float;
> ord_no := 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))) or ((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)) or (omniabs(array_y_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-5]) <= (glob_small_float)))) then # if number 2
> rad_c := glob_large_float;
> ord_no := 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
> rad_c := glob_large_float;
> ord_no := 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_0D1, array_const_1D0, 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, array_tmp4_g, 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 rad_c := glob_large_float; ord_no := 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]) or
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 or
omniabs(array_y_higher[1, m - 3]) <= glob_small_float or
omniabs(array_y_higher[1, m - 4]) <= glob_small_float or
omniabs(array_y_higher[1, m - 5]) <= glob_small_float then
rad_c := glob_large_float; ord_no := 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
rad_c := glob_large_float; ord_no := 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_0D1,
> array_const_1D0,
> #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,
> array_tmp4_g,
> 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_0D1, array_const_1D0, 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, array_tmp4_g, 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_0D1,
> array_const_1D0,
> #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,
> array_tmp4_g,
> 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_0D1[1] * array_x[1];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 1
> array_tmp2[1] := array_tmp1[1] + array_const_1D0[1];
> #emit pre add CONST - LINEAR $eq_no = 1 i = 1
> array_tmp3[1] := array_const_0D0[1] + array_tmp2[1];
> #emit pre sin 1 $eq_no = 1
> array_tmp4[1] := sin(array_x[1]);
> array_tmp4_g[1] := cos(array_x[1]);
> #emit pre sub LINEAR - FULL $eq_no = 1 i = 1
> array_tmp5[1] := array_tmp3[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 * (1.0);
> 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_0D1[1] * array_x[2];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2];
> #emit pre add CONST - LINEAR $eq_no = 1 i = 2
> array_tmp3[2] := array_tmp2[2];
> #emit pre sin ID_LINEAR iii = 2 $eq_no = 1
> array_tmp4[2] := array_tmp4_g[1] * array_x[2] / 1;
> array_tmp4_g[2] := -array_tmp4[1] * array_x[2] / 1;
> #emit pre sub LINEAR - FULL $eq_no = 1 i = 2
> array_tmp5[2] := array_tmp3[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 * (2.0);
> 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_tmp4[3] := array_tmp4_g[2] * array_x[2] / 2;
> array_tmp4_g[3] := -array_tmp4[2] * array_x[2] / 2;
> #emit pre sub LINEAR 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 * (3.0);
> 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_tmp4[4] := array_tmp4_g[3] * array_x[2] / 3;
> array_tmp4_g[4] := -array_tmp4[3] * array_x[2] / 3;
> #emit pre sub LINEAR 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 * (4.0);
> 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_tmp4[5] := array_tmp4_g[4] * array_x[2] / 4;
> array_tmp4_g[5] := -array_tmp4[4] * array_x[2] / 4;
> #emit pre sub LINEAR 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 * (5.0);
> 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_tmp4[kkk] := array_tmp4_g[kkk - 1] * array_x[2] / (kkk - 1);
> array_tmp4_g[kkk] := -array_tmp4[kkk - 1] * array_x[2] / (kkk - 1);
> #emit NOT FULL - FULL sub $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 - 1;
> adj3 := 2;
> while (term >= 1) do # do number 2
> if (adj3 <= order_d + 1) then # if number 3
> if (adj2 > 0) then # if number 4
> temporary := temporary / glob_h * convfp(adj2);
> else
> temporary := temporary;
> 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_0D1, array_const_1D0, 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, array_tmp4_g, 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_0D1[1]*array_x[1];
array_tmp2[1] := array_tmp1[1] + array_const_1D0[1];
array_tmp3[1] := array_const_0D0[1] + array_tmp2[1];
array_tmp4[1] := sin(array_x[1]);
array_tmp4_g[1] := cos(array_x[1]);
array_tmp5[1] := array_tmp3[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*1.0/glob_h;
array_y_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := array_const_0D1[1]*array_x[2];
array_tmp2[2] := array_tmp1[2];
array_tmp3[2] := array_tmp2[2];
array_tmp4[2] := array_tmp4_g[1]*array_x[2];
array_tmp4_g[2] := -array_tmp4[1]*array_x[2];
array_tmp5[2] := array_tmp3[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*2.0/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp4[3] := 1/2*array_tmp4_g[2]*array_x[2];
array_tmp4_g[3] := -1/2*array_tmp4[2]*array_x[2];
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*3.0/glob_h;
array_y_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp4[4] := 1/3*array_tmp4_g[3]*array_x[2];
array_tmp4_g[4] := -1/3*array_tmp4[3]*array_x[2];
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*4.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp4[5] := 1/4*array_tmp4_g[4]*array_x[2];
array_tmp4_g[5] := -1/4*array_tmp4[4]*array_x[2];
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*5.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp4[kkk] := array_tmp4_g[kkk - 1]*array_x[2]/(kkk - 1);
array_tmp4_g[kkk] := -array_tmp4[kkk - 1]*array_x[2]/(kkk - 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 - 1;
adj3 := 2;
while 1 <= term do
if adj3 <= order_d + 1 then
if 0 < adj2 then
temporary := temporary*convfp(adj2)/glob_h
else temporary := temporary
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 > + 0.0000000000000000000000000000000001) 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 0.1*10^(-33) < rel_error 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(cos(x) + (0.05 * x * x) + x) ;
> end;
exact_soln_y := proc(x) return cos(x) + 0.05*x*x + 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,repeat_it;
> 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_0D1,
> array_const_1D0,
> #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,
> array_tmp4_g,
> 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/sub_lin_sinpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = (0.1 * x + 1.0) - 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,"glob_subiter_method:=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(cos(x) + (0.05 * x * x) + 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:= Array(0..(max_terms + 1),[]);
> array_tmp4_g:= 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[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4_g[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 := 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_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4_g[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_0D1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D1[1] := 0.1;
> array_const_1D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1D0[1] := 1.0;
> 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;
> glob_subiter_method:=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();
> display_alot(current_iter);
> 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 := 2;
> #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
> ;
> 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 ) = (0.1 * x + 1.0) - 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,"2013-01-13T02:40:28-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"sub_lin_sin")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = (0.1 * x + 1.0) - 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," 156 | ")
> ;
> logitem_str(html_log_file,"sub_lin_sin diffeq.mxt")
> ;
> logitem_str(html_log_file,"sub_lin_sin maple results")
> ;
> logitem_str(html_log_file,"Languages compared - single equations")
> ;
> 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, repeat_it;
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_0D1, array_const_1D0, 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, array_tmp4_g, 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/sub_lin_sinpostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = (0.1 * x + 1.0) - 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, "glob_subiter_method:=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(cos(x) + (0.05 * x * x) + 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 := Array(0 .. max_terms + 1, []);
array_tmp4_g := 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[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4_g[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 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp4_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp4_g[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_0D1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D1[term] := 0.; term := term + 1
end do;
array_const_0D1[1] := 0.1;
array_const_1D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1D0[term] := 0.; term := term + 1
end do;
array_const_1D0[1] := 1.0;
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_subiter_method := 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();
display_alot(current_iter);
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 := 2;
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
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 ) = (0.1 * x + 1.0) - 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, "2013-01-13T02:40:28-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"sub_lin_sin");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = (0.1 * x + 1.0) - 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, " 156 | ");
logitem_str(html_log_file, "sub_lin_sin diffeq.mxt");
logitem_str(html_log_file, "sub_lin_sin maple results");
logitem_str(html_log_file,
"Languages compared - single equations");
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/sub_lin_sinpostode.ode#################
diff ( y , x , 1 ) = (0.1 * x + 1.0) - 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;
glob_subiter_method:=3;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
return(cos(x) + (0.05 * x * x) + 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 = 2.4672040251049429538467757202074e-105
max_value3 = 2.4672040251049429538467757202074e-105
value3 = 2.4672040251049429538467757202074e-105
best_h = 0.001
START of Soultion
x[1] = 0.1
y[1] (analytic) = 1.0955041652780257660955619878039
y[1] (numeric) = 1.0955041652780257660955619878039
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
x[1] = 0.1
y[1] (analytic) = 1.0955041652780257660955619878039
y[1] (numeric) = 1.0955041652780257660955619878039
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.101
y[1] (analytic) = 1.096413884375976659378402999829
y[1] (numeric) = 1.096413884375976659378402999829
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.102
y[1] (analytic) = 1.0973227085701760853346856764599
y[1] (numeric) = 1.0973227085701760853346856764599
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.103
y[1] (analytic) = 1.0982306379619498413211671928266
y[1] (numeric) = 1.0982306379619498413211671928267
absolute error = 1e-31
relative error = 9.1055554765414109952570051746509e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.104
y[1] (analytic) = 1.0991376726536185270373744944846
y[1] (numeric) = 1.0991376726536185270373744944847
absolute error = 1e-31
relative error = 9.0980413544167482697299500397690e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.105
y[1] (analytic) = 1.1000438127484974422050131246041
y[1] (numeric) = 1.1000438127484974422050131246041
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.106
y[1] (analytic) = 1.1009490583508964832526761118722
y[1] (numeric) = 1.1009490583508964832526761118723
absolute error = 1e-31
relative error = 9.0830723948108249705513791819153e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.107
y[1] (analytic) = 1.1018534095661200390059562343918
y[1] (numeric) = 1.1018534095661200390059562343919
absolute error = 1e-31
relative error = 9.0756174216838231983300221932503e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.108
y[1] (analytic) = 1.1027568665004668853830659694533
y[1] (numeric) = 1.1027568665004668853830659694534
absolute error = 1e-31
relative error = 9.0681820297654580039373720043200e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.109
y[1] (analytic) = 1.1036594292612300790960704335539
y[1] (numeric) = 1.103659429261230079096070433554
absolute error = 1e-31
relative error = 9.0607661520128736574574938668793e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.11
y[1] (analytic) = 1.1045610979566968503578396114198
y[1] (numeric) = 1.1045610979566968503578396114199
absolute error = 1e-31
relative error = 9.0533697216919723745550845303092e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.111
y[1] (analytic) = 1.105461872696148494594827167072
y[1] (numeric) = 1.105461872696148494594827167072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.112
y[1] (analytic) = 1.1063617535898602631657841241467
y[1] (numeric) = 1.1063617535898602631657841241467
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.113
y[1] (analytic) = 1.1072607407491012530865166967484
y[1] (numeric) = 1.1072607407491012530865166967485
absolute error = 1e-31
relative error = 9.0312964525723584405080896145728e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.114
y[1] (analytic) = 1.1081588342861342957607985460685
y[1] (numeric) = 1.1081588342861342957607985460686
absolute error = 1e-31
relative error = 9.0239771507501519885989266440783e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.115
y[1] (analytic) = 1.1090560343142158447175487318465
y[1] (numeric) = 1.1090560343142158447175487318466
absolute error = 1e-31
relative error = 9.0166769672584615595604946788426e-30 %
Correct digits = 31
h = 0.001
memory used=3.8MB, alloc=2.9MB, time=0.15
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.116
y[1] (analytic) = 1.109952340947595862354387621489
y[1] (numeric) = 1.1099523409475958623543876214891
absolute error = 1e-31
relative error = 9.0093958371786790254225146631907e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.117
y[1] (analytic) = 1.110847754301517705687684013279
y[1] (numeric) = 1.1108477543015177056876840132791
absolute error = 1e-31
relative error = 9.0021336958887142888546034762573e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.118
y[1] (analytic) = 1.11174227449221801110920772362
y[1] (numeric) = 1.1117422744922180111092077236201
absolute error = 1e-31
relative error = 8.9948904790612944689115068912074e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.119
y[1] (analytic) = 1.1126359016369265781495028816522
y[1] (numeric) = 1.1126359016369265781495028816522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.12
y[1] (analytic) = 1.1135286358538662522480981678576
y[1] (numeric) = 1.1135286358538662522480981678577
absolute error = 1e-31
relative error = 8.9804605629489607114171114583523e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.121
y[1] (analytic) = 1.1144204772622528065306712264356
y[1] (numeric) = 1.1144204772622528065306712264357
absolute error = 1e-31
relative error = 8.9732737364684423138459508886705e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.122
y[1] (analytic) = 1.115311425982294822593285474272
y[1] (numeric) = 1.1153114259822948225932854742721
absolute error = 1e-31
relative error = 8.9661055800559390036610487020875e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.123
y[1] (analytic) = 1.1162014821351935702938185222573
y[1] (numeric) = 1.1162014821351935702938185222575
absolute error = 2e-31
relative error = 1.7917912061666312584391154400102e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.124
y[1] (analytic) = 1.117090645843142886550702417515
y[1] (numeric) = 1.1170906458431428865507024175152
absolute error = 2e-31
relative error = 1.7903650052413306903142680768465e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.125
y[1] (analytic) = 1.1179789172293290531490969077882
y[1] (numeric) = 1.1179789172293290531490969077884
absolute error = 2e-31
relative error = 1.7889425007732444655389635437144e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.126
y[1] (analytic) = 1.1188662964179306735546179218037
y[1] (numeric) = 1.1188662964179306735546179218039
absolute error = 2e-31
relative error = 1.7875236803566554338979869009367e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.127
y[1] (analytic) = 1.1197527835341185487347444518721
y[1] (numeric) = 1.1197527835341185487347444518723
absolute error = 2e-31
relative error = 1.7861085316418510774058144157687e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.128
y[1] (analytic) = 1.1206383787040555519880280173089
y[1] (numeric) = 1.1206383787040555519880280173091
absolute error = 2e-31
relative error = 1.7846970423348058304028271235617e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.129
y[1] (analytic) = 1.1215230820548965027812298794554
y[1] (numeric) = 1.1215230820548965027812298794556
absolute error = 2e-31
relative error = 1.7832892001968655509683531979091e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.13
y[1] (analytic) = 1.1224068937147880395945121711518
y[1] (numeric) = 1.122406893714788039594512171152
absolute error = 2e-31
relative error = 1.7818849930444341266522210985637e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.131
y[1] (analytic) = 1.1232898138128684917748100954616
y[1] (numeric) = 1.1232898138128684917748100954618
absolute error = 2e-31
relative error = 1.7804844087486621976797990122900e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.132
y[1] (analytic) = 1.124171842479267750397513340263
y[1] (numeric) = 1.1241718424792677503975133402633
absolute error = 3e-31
relative error = 2.6686311528527069714058543061290e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.133
y[1] (analytic) = 1.1250529798451071381365858470171
y[1] (numeric) = 1.1250529798451071381365858470173
absolute error = 2e-31
relative error = 1.7776940604835801781938260265916e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.134
y[1] (analytic) = 1.1259332260424992781432540635797
y[1] (numeric) = 1.1259332260424992781432540635799
absolute error = 2e-31
relative error = 1.7763042725275329521670957503284e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.135
y[1] (analytic) = 1.1268125812045479619333948023605
y[1] (numeric) = 1.1268125812045479619333948023607
absolute error = 2e-31
relative error = 1.7749180594540629541834121199308e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.136
y[1] (analytic) = 1.127691045465348016283754816428
y[1] (numeric) = 1.1276910454653480162837548164282
absolute error = 2e-31
relative error = 1.7735354094034583873325904449231e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.137
y[1] (analytic) = 1.1285686189599851691371351973316
y[1] (numeric) = 1.1285686189599851691371351973318
absolute error = 2e-31
relative error = 1.7721563105689300891592257236210e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.138
y[1] (analytic) = 1.1294453018245359145166746894438
y[1] (numeric) = 1.1294453018245359145166746894441
absolute error = 3e-31
relative error = 2.6561711267944719271143647950626e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.139
y[1] (analytic) = 1.1303210941960673764493670065295
y[1] (numeric) = 1.1303210941960673764493670065297
absolute error = 2e-31
relative error = 1.7694087195837793278275090523819e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.14
y[1] (analytic) = 1.1311959962126371718989482270114
y[1] (numeric) = 1.1311959962126371718989482270116
absolute error = 2e-31
relative error = 1.7680402040815294144662657780577e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.141
y[1] (analytic) = 1.1320700080132932727082913350357
y[1] (numeric) = 1.1320700080132932727082913350359
absolute error = 2e-31
relative error = 1.7666751930915169204546766983995e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.142
y[1] (analytic) = 1.1329431297380738665514459649294
y[1] (numeric) = 1.1329431297380738665514459649296
absolute error = 2e-31
relative error = 1.7653136750671516806268961859963e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.143
y[1] (analytic) = 1.1338153615280072168954623969991
y[1] (numeric) = 1.1338153615280072168954623969993
absolute error = 2e-31
relative error = 1.7639556385130141948938413182450e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=7.6MB, alloc=4.1MB, time=0.33
TOP MAIN SOLVE Loop
x[1] = 0.144
y[1] (analytic) = 1.1346867035251115219721398428361
y[1] (numeric) = 1.1346867035251115219721398428362
absolute error = 1e-31
relative error = 8.8130053599228520635112131606274e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.145
y[1] (analytic) = 1.135557155872394772759840048366
y[1] (numeric) = 1.1355571558723947727598400483661
absolute error = 1e-31
relative error = 8.8062498204394420719680558081046e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.146
y[1] (analytic) = 1.1364267187138546099755082328197
y[1] (numeric) = 1.1364267187138546099755082328198
absolute error = 1e-31
relative error = 8.7995115173967848737024550544875e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.147
y[1] (analytic) = 1.1372953921944781800770443715908
y[1] (numeric) = 1.137295392194478180077044371591
absolute error = 2e-31
relative error = 1.7585580788654059940677860191493e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.148
y[1] (analytic) = 1.1381631764602419902761688205978
y[1] (numeric) = 1.138163176460241990276168820598
absolute error = 2e-31
relative error = 1.7572172790022287824960701304859e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.149
y[1] (analytic) = 1.1390300716581117625619272692718
y[1] (numeric) = 1.139030071658111762561927269272
absolute error = 2e-31
relative error = 1.7558798926955061829716282382250e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.15
y[1] (analytic) = 1.1398960779360422867349809986543
y[1] (numeric) = 1.1398960779360422867349809986545
absolute error = 2e-31
relative error = 1.7545459088001325188745416970981e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.151
y[1] (analytic) = 1.1407611954429772724528294103012
y[1] (numeric) = 1.1407611954429772724528294103014
absolute error = 2e-31
relative error = 1.7532153162199433521214443870593e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.152
y[1] (analytic) = 1.1416254243288492002861127807586
y[1] (numeric) = 1.1416254243288492002861127807588
absolute error = 2e-31
relative error = 1.7518881039074450378036449968614e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.153
y[1] (analytic) = 1.1424887647445791717861441852958
y[1] (numeric) = 1.142488764744579171786144185296
absolute error = 2e-31
relative error = 1.7505642608635460615241527353222e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.154
y[1] (analytic) = 1.1433512168420767585638205233501
y[1] (numeric) = 1.1433512168420767585638205233503
absolute error = 2e-31
relative error = 1.7492437761372901457187704690902e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.155
y[1] (analytic) = 1.1442127807742398503800635667605
y[1] (numeric) = 1.1442127807742398503800635667606
absolute error = 1e-31
relative error = 8.7396331941279555568342233032315e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.156
y[1] (analytic) = 1.1450734566949545022479429403361
y[1] (numeric) = 1.1450734566949545022479429403362
absolute error = 1e-31
relative error = 8.7330641903648474080824930568534e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.157
y[1] (analytic) = 1.1459332447590947805466339326243
y[1] (numeric) = 1.1459332447590947805466339326245
absolute error = 2e-31
relative error = 1.7453023630712908139672374151939e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.158
y[1] (analytic) = 1.1467921451225226081473640229073
y[1] (numeric) = 1.1467921451225226081473640229074
absolute error = 1e-31
relative error = 8.7199760152975287388485627774263e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.159
y[1] (analytic) = 1.1476501579420876085515029984672
y[1] (numeric) = 1.1476501579420876085515029984673
absolute error = 1e-31
relative error = 8.7134567366169587695909196684430e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.16
y[1] (analytic) = 1.1485072833756269490409525240183
y[1] (numeric) = 1.1485072833756269490409525240185
absolute error = 2e-31
relative error = 1.7413907851952965737258298525785e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.161
y[1] (analytic) = 1.1493635215819651828409920129024
y[1] (numeric) = 1.1493635215819651828409920129025
absolute error = 1e-31
relative error = 8.7004675302694166704327174456101e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.162
y[1] (analytic) = 1.1502188727209140902957386371875
y[1] (numeric) = 1.1502188727209140902957386371876
absolute error = 1e-31
relative error = 8.6939974966193866306961496623851e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.163
y[1] (analytic) = 1.1510733369532725190563803011996
y[1] (numeric) = 1.1510733369532725190563803011997
absolute error = 1e-31
relative error = 8.6875437723790721738094651785231e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.164
y[1] (analytic) = 1.1519269144408262232823413902376
y[1] (numeric) = 1.1519269144408262232823413902377
absolute error = 1e-31
relative error = 8.6811063051289560316649404735044e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.165
y[1] (analytic) = 1.1527796053463477018555420932949
y[1] (numeric) = 1.1527796053463477018555420932951
absolute error = 2e-31
relative error = 1.7349370085352165423066265411747e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.166
y[1] (analytic) = 1.1536314098335960356079130855139
y[1] (numeric) = 1.1536314098335960356079130855141
absolute error = 2e-31
relative error = 1.7336559866105650062562640938246e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.167
y[1] (analytic) = 1.1544823280673167235623283428443
y[1] (numeric) = 1.1544823280673167235623283428445
absolute error = 2e-31
relative error = 1.7323781849031317321484956896267e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.168
y[1] (analytic) = 1.155332360213241518187119847961
y[1] (numeric) = 1.1553323602132415181871198479612
absolute error = 2e-31
relative error = 1.7311035931087889217145304144729e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.169
y[1] (analytic) = 1.1561815064380882596643389329105
y[1] (numeric) = 1.1561815064380882596643389329106
absolute error = 1e-31
relative error = 8.6491610048387195944591941644053e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.17
y[1] (analytic) = 1.1570297669095607091719299902125
y[1] (numeric) = 1.1570297669095607091719299902126
absolute error = 1e-31
relative error = 8.6428199913214942470618235496516e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.171
y[1] (analytic) = 1.1578771417963483811799832702289
y[1] (numeric) = 1.157877141796348381179983270229
absolute error = 1e-31
relative error = 8.6364948741330590685829206135049e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.172
y[1] (analytic) = 1.1587236312681263747612344685321
y[1] (numeric) = 1.1587236312681263747612344685322
absolute error = 1e-31
relative error = 8.6301856026322981073729412036388e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=11.4MB, alloc=4.1MB, time=0.51
TOP MAIN SOLVE Loop
x[1] = 0.173
y[1] (analytic) = 1.1595692354955552039159797927608
y[1] (numeric) = 1.1595692354955552039159797927609
absolute error = 1e-31
relative error = 8.6238921263950102804813617701251e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.174
y[1] (analytic) = 1.1604139546502806269115761840325
y[1] (numeric) = 1.1604139546502806269115761840326
absolute error = 1e-31
relative error = 8.6176143952127382885632182743361e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.175
y[1] (analytic) = 1.1612577889049334746366973533995
y[1] (numeric) = 1.1612577889049334746366973533996
absolute error = 1e-31
relative error = 8.6113523590916050660461216102714e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.176
y[1] (analytic) = 1.1621007384331294779705172790773
y[1] (numeric) = 1.1621007384331294779705172790774
absolute error = 1e-31
relative error = 8.6051059682511577099526748824461e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.177
y[1] (analytic) = 1.1629428034094690941669937952475
y[1] (numeric) = 1.1629428034094690941669937952476
absolute error = 1e-31
relative error = 8.5988751731232188312585340749398e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.178
y[1] (analytic) = 1.1637839840095373322544258881378
y[1] (numeric) = 1.1637839840095373322544258881379
absolute error = 1e-31
relative error = 8.5926599243507452731469940259665e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.179
y[1] (analytic) = 1.1646242804099035774504592998064
y[1] (numeric) = 1.1646242804099035774504592998065
absolute error = 1e-31
relative error = 8.5864601727866941409969961955038e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.18
y[1] (analytic) = 1.1654636927881214145927160246115
y[1] (numeric) = 1.1654636927881214145927160246116
absolute error = 1e-31
relative error = 8.5802758694928960894128928965563e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.181
y[1] (analytic) = 1.1663022213227284505852242677207
y[1] (numeric) = 1.1663022213227284505852242677208
absolute error = 1e-31
relative error = 8.5741069657389358120712132900390e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.182
y[1] (analytic) = 1.167139866193246135860826419216
y[1] (numeric) = 1.1671398661932461358608264192161
absolute error = 1e-31
relative error = 8.5679534130010396806221077827659e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.183
y[1] (analytic) = 1.1679766275801795848597435813723
y[1] (numeric) = 1.1679766275801795848597435813724
absolute error = 1e-31
relative error = 8.5618151629609704793411472161316e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.184
y[1] (analytic) = 1.1688125056650173955244761705281
y[1] (numeric) = 1.1688125056650173955244761705282
absolute error = 1e-31
relative error = 8.5556921675049291826807685301450e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.185
y[1] (analytic) = 1.1696475006302314678112210986348
y[1] (numeric) = 1.1696475006302314678112210986349
absolute error = 1e-31
relative error = 8.5495843787224637233199360227929e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.186
y[1] (analytic) = 1.1704816126592768212179870230509
y[1] (numeric) = 1.170481612659276821217987023051
absolute error = 1e-31
relative error = 8.5434917489053846987555729437795e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.187
y[1] (analytic) = 1.1713148419365914113295901364508
y[1] (numeric) = 1.171314841936591411329590136451
absolute error = 2e-31
relative error = 1.7074828461093375929840114945450e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.188
y[1] (analytic) = 1.1721471886475959453797139518383
y[1] (numeric) = 1.1721471886475959453797139518385
absolute error = 2e-31
relative error = 1.7062703552678968131491230226139e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.189
y[1] (analytic) = 1.1729786529786936968302175205875
y[1] (numeric) = 1.1729786529786936968302175205877
absolute error = 2e-31
relative error = 1.7050608678351868896057641277653e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.19
y[1] (analytic) = 1.1738092351172703189678775041899
y[1] (numeric) = 1.1738092351172703189678775041901
absolute error = 2e-31
relative error = 1.7038543744292388822753381799318e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.191
y[1] (analytic) = 1.1746389352516936575187505029481
y[1] (numeric) = 1.1746389352516936575187505029483
absolute error = 2e-31
relative error = 1.7026508657074725486880096896012e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.192
y[1] (analytic) = 1.1754677535713135622803430272392
y[1] (numeric) = 1.1754677535713135622803430272394
absolute error = 2e-31
relative error = 1.7014503323664875982120016047466e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.193
y[1] (analytic) = 1.1762956902664616977717774791618
y[1] (numeric) = 1.176295690266461697771777479162
absolute error = 2e-31
relative error = 1.7002527651418562636739251686218e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.194
y[1] (analytic) = 1.1771227455284513529021434943852
y[1] (numeric) = 1.1771227455284513529021434943854
absolute error = 2e-31
relative error = 1.6990581548079171806609994649569e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.195
y[1] (analytic) = 1.1779489195495772496572249758333
y[1] (numeric) = 1.1779489195495772496572249758336
absolute error = 3e-31
relative error = 2.5467997382663558473165301387253e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.196
y[1] (analytic) = 1.1787742125231153508047941324606
y[1] (numeric) = 1.1787742125231153508047941324609
absolute error = 3e-31
relative error = 2.5450166521531120170152501478057e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.197
y[1] (analytic) = 1.179598624643322666618664817809
y[1] (numeric) = 1.1795986246433226666186648178093
absolute error = 3e-31
relative error = 2.5432379602062653589483091920612e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.198
y[1] (analytic) = 1.1804221561054370606216984442784
y[1] (numeric) = 1.1804221561054370606216984442787
absolute error = 3e-31
relative error = 2.5414636488168691601480350735553e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.199
y[1] (analytic) = 1.1812448071056770543479567300861
y[1] (numeric) = 1.1812448071056770543479567300864
absolute error = 3e-31
relative error = 2.5396937044326093281775685197579e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.2
y[1] (analytic) = 1.1820665778412416311241965167482
y[1] (numeric) = 1.1820665778412416311241965167485
absolute error = 3e-31
relative error = 2.5379281135575066801630142331865e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.201
y[1] (analytic) = 1.182887468510310038870902875571
y[1] (numeric) = 1.1828874685103100388709028755713
absolute error = 3e-31
relative error = 2.5361668627516210947685214979966e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=15.2MB, alloc=4.2MB, time=0.69
TOP MAIN SOLVE Loop
x[1] = 0.202
y[1] (analytic) = 1.1837074793120415919230577021024
y[1] (numeric) = 1.1837074793120415919230577021028
absolute error = 4e-31
relative error = 3.3792132515076766846651414962909e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.203
y[1] (analytic) = 1.1845266104465754718708419777594
y[1] (numeric) = 1.1845266104465754718708419777597
absolute error = 3e-31
relative error = 2.5326573278661737778275978990569e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.204
y[1] (analytic) = 1.185344862115030527420470857911
y[1] (numeric) = 1.1853448621150305274204708579113
absolute error = 3e-31
relative error = 2.5309090171842902887616056045406e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.205
y[1] (analytic) = 1.1861622345195050732753617255673
y[1] (numeric) = 1.1861622345195050732753617255676
absolute error = 3e-31
relative error = 2.5291649933664014755638458886157e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.206
y[1] (analytic) = 1.1869787278630766880378363294873
y[1] (numeric) = 1.1869787278630766880378363294876
absolute error = 3e-31
relative error = 2.5274252432483890604670942128001e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.207
y[1] (analytic) = 1.1877943423498020111315591049884
y[1] (numeric) = 1.1877943423498020111315591049887
absolute error = 3e-31
relative error = 2.5256897537204371063203960647695e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.208
y[1] (analytic) = 1.1886090781847165387449147550011
y[1] (numeric) = 1.1886090781847165387449147550014
absolute error = 3e-31
relative error = 2.5239585117267488342185357404377e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.209
y[1] (analytic) = 1.1894229355738344187955291479752
y[1] (numeric) = 1.1894229355738344187955291479756
absolute error = 4e-31
relative error = 3.3629753390203535976961448090787e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.21
y[1] (analytic) = 1.1902359147241482449161385680994
y[1] (numeric) = 1.1902359147241482449161385680997
absolute error = 3e-31
relative error = 2.5205087183873852047821414033218e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.211
y[1] (analytic) = 1.1910480158436288494620133319462
y[1] (numeric) = 1.1910480158436288494620133319466
absolute error = 4e-31
relative error = 3.3583868549302506175847521943897e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.212
y[1] (analytic) = 1.191859239141225095540142764105
y[1] (numeric) = 1.1918592391412250955401427641054
absolute error = 4e-31
relative error = 3.3561010131382086083549557174706e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.213
y[1] (analytic) = 1.1926695848268636680603895025966
y[1] (numeric) = 1.192669584826863668060389502597
absolute error = 4e-31
relative error = 3.3538207487538706895273121056170e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.214
y[1] (analytic) = 1.1934790531114488638088220829006
y[1] (numeric) = 1.1934790531114488638088220829009
absolute error = 3e-31
relative error = 2.5136595335953965008371030189182e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.215
y[1] (analytic) = 1.1942876442068623805434357272442
y[1] (numeric) = 1.1942876442068623805434357272446
absolute error = 4e-31
relative error = 3.3492768843442548507229184587186e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.216
y[1] (analytic) = 1.1950953583259631051124722434151
y[1] (numeric) = 1.1950953583259631051124722434155
absolute error = 4e-31
relative error = 3.3470132505602094121721164458975e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.217
y[1] (analytic) = 1.1959021956825869005955509147589
y[1] (numeric) = 1.1959021956825869005955509147593
absolute error = 4e-31
relative error = 3.3447551266656166350110574294825e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.218
y[1] (analytic) = 1.196708156491546392467823240215
y[1] (numeric) = 1.1967081564915463924678232402155
absolute error = 5e-31
relative error = 4.1781281199409291862256411080055e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.219
y[1] (analytic) = 1.1975132409686307537873653602166
y[1] (numeric) = 1.1975132409686307537873653602171
absolute error = 5e-31
relative error = 4.1753191772273494346162138273784e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.22
y[1] (analytic) = 1.1983174493306054894060229810447
y[1] (numeric) = 1.1983174493306054894060229810452
absolute error = 5e-31
relative error = 4.1725170594762347948559993778572e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.221
y[1] (analytic) = 1.1991207817952122192039245867742
y[1] (numeric) = 1.1991207817952122192039245867747
absolute error = 5e-31
relative error = 4.1697217460566937809206337611145e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.222
y[1] (analytic) = 1.1999232385811684603478797042797
y[1] (numeric) = 1.1999232385811684603478797042802
absolute error = 5e-31
relative error = 4.1669332164215573248526797208603e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.223
y[1] (analytic) = 1.200724819908167408573879962885
y[1] (numeric) = 1.2007248199081674085738799628855
absolute error = 5e-31
relative error = 4.1641514501069485835681789987525e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.224
y[1] (analytic) = 1.2015255259968777184939216661375
y[1] (numeric) = 1.201525525996877718493921666138
absolute error = 5e-31
relative error = 4.1613764267318553735470245954165e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.225
y[1] (analytic) = 1.2023253570689432829273695688655
y[1] (numeric) = 1.202325357068943282927369568866
absolute error = 5e-31
relative error = 4.1586081259977052146503819041940e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.226
y[1] (analytic) = 1.2031243133469830112570825281373
y[1] (numeric) = 1.2031243133469830112570825281378
absolute error = 5e-31
relative error = 4.1558465276879429644611854418624e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.227
y[1] (analytic) = 1.2039223950545906068105226719777
y[1] (numeric) = 1.2039223950545906068105226719782
absolute error = 5e-31
relative error = 4.1530916116676110246951370428927e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.228
y[1] (analytic) = 1.2047196024163343432660707047136
y[1] (numeric) = 1.2047196024163343432660707047141
absolute error = 5e-31
relative error = 4.1503433578829321013796460254020e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.229
y[1] (analytic) = 1.2055159356577568400847709426156
y[1] (numeric) = 1.2055159356577568400847709426162
absolute error = 6e-31
relative error = 4.9771220956330734007761552391737e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.23
y[1] (analytic) = 1.2063113950053748369677306480716
y[1] (numeric) = 1.2063113950053748369677306480722
absolute error = 6e-31
relative error = 4.9738401086506079305604530821198e-29 %
Correct digits = 30
h = 0.001
memory used=19.0MB, alloc=4.3MB, time=0.88
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.231
y[1] (analytic) = 1.2071059806866789673393992048733
y[1] (numeric) = 1.2071059806866789673393992048739
absolute error = 6e-31
relative error = 4.9705660447368646465555641057552e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.232
y[1] (analytic) = 1.2078996929301335308569536513194
y[1] (numeric) = 1.20789969293013353085695365132
absolute error = 6e-31
relative error = 4.9672998802120299105044077628019e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.233
y[1] (analytic) = 1.2086925319651762649460180617296
y[1] (numeric) = 1.2086925319651762649460180617302
absolute error = 6e-31
relative error = 4.9640415914912482219084630446468e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.234
y[1] (analytic) = 1.209484498022218115362945240631
y[1] (numeric) = 1.2094844980222181153629452406316
absolute error = 6e-31
relative error = 4.9607911550841394660230380358010e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.235
y[1] (analytic) = 1.2102755913326430057838901673172
y[1] (numeric) = 1.2102755913326430057838901673178
absolute error = 6e-31
relative error = 4.9575485475943190775369992739632e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.236
y[1] (analytic) = 1.2110658121288076064209056016861
y[1] (numeric) = 1.2110658121288076064209056016867
absolute error = 6e-31
relative error = 4.9543137457189210993562046124422e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.237
y[1] (analytic) = 1.2118551606440411016652912352422
y[1] (numeric) = 1.2118551606440411016652912352428
absolute error = 6e-31
relative error = 4.9510867262481241160756851018410e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.238
y[1] (analytic) = 1.2126436371126449567584287438953
y[1] (numeric) = 1.2126436371126449567584287438959
absolute error = 6e-31
relative error = 4.9478674660646800418899222874324e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.239
y[1] (analytic) = 1.2134312417698926834903360717
y[1] (numeric) = 1.2134312417698926834903360717007
absolute error = 7e-31
relative error = 5.7687652658340200333289460649845e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.24
y[1] (analytic) = 1.2142179748520296049261752469634
y[1] (numeric) = 1.2142179748520296049261752469641
absolute error = 7e-31
relative error = 5.7650274868094037191589479545477e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.241
y[1] (analytic) = 1.2150038365962726191609490041922
y[1] (numeric) = 1.2150038365962726191609490041929
absolute error = 7e-31
relative error = 5.7612986800188961265934756700672e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.242
y[1] (analytic) = 1.2157888272408099621026224571645
y[1] (numeric) = 1.2157888272408099621026224571652
absolute error = 7e-31
relative error = 5.7575788189189516731866343107826e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.243
y[1] (analytic) = 1.2165729470248009692839070399837
y[1] (numeric) = 1.2165729470248009692839070399844
absolute error = 7e-31
relative error = 5.7538678770713273961344256334372e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.244
y[1] (analytic) = 1.2173561961883758367029449043108
y[1] (numeric) = 1.2173561961883758367029449043115
absolute error = 7e-31
relative error = 5.7501658281425527002804728321896e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.245
y[1] (analytic) = 1.2181385749726353806931329320715
y[1] (numeric) = 1.2181385749726353806931329320722
absolute error = 7e-31
relative error = 5.7464726459034022761429024820678e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.246
y[1] (analytic) = 1.2189200836196507968223264937931
y[1] (numeric) = 1.2189200836196507968223264937938
absolute error = 7e-31
relative error = 5.7427883042283721658091279892875e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.247
y[1] (analytic) = 1.2197007223724634178216640533481
y[1] (numeric) = 1.2197007223724634178216640533489
absolute error = 8e-31
relative error = 6.5589860309658959482536827887440e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.248
y[1] (analytic) = 1.2204804914750844705442546902599
y[1] (numeric) = 1.2204804914750844705442546902607
absolute error = 8e-31
relative error = 6.5547954726675909343493470843887e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.249
y[1] (analytic) = 1.2212593911724948319539715808613
y[1] (numeric) = 1.2212593911724948319539715808621
absolute error = 8e-31
relative error = 6.5506149290032790246330248335959e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.25
y[1] (analytic) = 1.2220374217106447841445954494942
y[1] (numeric) = 1.222037421710644784144595449495
absolute error = 8e-31
relative error = 6.5464443705834794181414034198984e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.251
y[1] (analytic) = 1.2228145833364537683895529705847
y[1] (numeric) = 1.2228145833364537683895529705855
absolute error = 8e-31
relative error = 6.5422837681343091836004112070815e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.252
y[1] (analytic) = 1.2235908762978101382224960718362
y[1] (numeric) = 1.223590876297810138222496071837
absolute error = 8e-31
relative error = 6.5381330924969055424751474410305e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.253
y[1] (analytic) = 1.2243663008435709115489690579392
y[1] (numeric) = 1.22436630084357091154896905794
absolute error = 8e-31
relative error = 6.5339923146268515779111762417971e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.254
y[1] (analytic) = 1.2251408572235615217894114431114
y[1] (numeric) = 1.2251408572235615217894114431123
absolute error = 9e-31
relative error = 7.3460940812928060140418547083010e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.255
y[1] (analytic) = 1.2259145456885755680537453494437
y[1] (numeric) = 1.2259145456885755680537453494445
absolute error = 8e-31
relative error = 6.5257403365799323645093334788177e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.256
y[1] (analytic) = 1.2266873664903745643477972964435
y[1] (numeric) = 1.2266873664903745643477972964443
absolute error = 8e-31
relative error = 6.5216290788813414595855841006341e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.257
y[1] (analytic) = 1.227459319881687687811805175334
y[1] (numeric) = 1.2274593198816876878118051753349
absolute error = 9e-31
relative error = 7.3322185543937144333545031033166e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.258
y[1] (analytic) = 1.2282304061162115259912621695806
y[1] (numeric) = 1.2282304061162115259912621695815
absolute error = 9e-31
relative error = 7.3276153685682705986857455302364e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.259
y[1] (analytic) = 1.2290006254486098231403503507787
y[1] (numeric) = 1.2290006254486098231403503507796
absolute error = 9e-31
relative error = 7.3230231243493630374133751098461e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=22.8MB, alloc=4.3MB, time=1.06
TOP MAIN SOLVE Loop
x[1] = 0.26
y[1] (analytic) = 1.2297699781345132255582176464501
y[1] (numeric) = 1.229769978134513225558217646451
absolute error = 9e-31
relative error = 7.3184417899455118986279019966238e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.261
y[1] (analytic) = 1.2305384644305190259583528434479
y[1] (numeric) = 1.2305384644305190259583528434489
absolute error = 1.0e-30
relative error = 8.1265237040988398802980463777954e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.262
y[1] (analytic) = 1.2313060845941909068713142575752
y[1] (numeric) = 1.2313060845941909068713142575761
absolute error = 9e-31
relative error = 7.3093117240350397213585848358455e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.263
y[1] (analytic) = 1.2320728388840586830810686666656
y[1] (numeric) = 1.2320728388840586830810686666665
absolute error = 9e-31
relative error = 7.3047629295616051104539959249374e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.264
y[1] (analytic) = 1.2328387275596180430951980707674
y[1] (numeric) = 1.2328387275596180430951980707684
absolute error = 1.0e-30
relative error = 8.1113610210759837840061543426762e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.265
y[1] (analytic) = 1.2336037508813302896492328092017
y[1] (numeric) = 1.2336037508813302896492328092027
absolute error = 1.0e-30
relative error = 8.1063307345293374681657548909902e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.266
y[1] (analytic) = 1.2343679091106220792453705301393
y[1] (numeric) = 1.2343679091106220792453705301404
absolute error = 1.1e-30
relative error = 8.9114435970112356349510162840743e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.267
y[1] (analytic) = 1.2351312025098851607258414739579
y[1] (numeric) = 1.2351312025098851607258414739589
absolute error = 1.0e-30
relative error = 8.0963058658701213689323023379385e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.268
y[1] (analytic) = 1.2358936313424761128811814969892
y[1] (numeric) = 1.2358936313424761128811814969902
absolute error = 1.0e-30
relative error = 8.0913112151388044388484699508038e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.269
y[1] (analytic) = 1.2366551958727160810936752273647
y[1] (numeric) = 1.2366551958727160810936752273658
absolute error = 1.1e-30
relative error = 8.8949612120759532405609849070476e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.27
y[1] (analytic) = 1.2374158963658905130162327094922
y[1] (numeric) = 1.2374158963658905130162327094933
absolute error = 1.1e-30
relative error = 8.8894930413496311111283418508108e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.271
y[1] (analytic) = 1.2381757330882488932869638582654
y[1] (numeric) = 1.2381757330882488932869638582665
absolute error = 1.1e-30
relative error = 8.8840377872403298808283731746017e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.272
y[1] (analytic) = 1.2389347063070044772797160084106
y[1] (numeric) = 1.2389347063070044772797160084117
absolute error = 1.1e-30
relative error = 8.8785954126578737203919163028255e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.273
y[1] (analytic) = 1.2396928162903340238908408084099
y[1] (numeric) = 1.2396928162903340238908408084109
absolute error = 1.0e-30
relative error = 8.0665144369587251078691523307261e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.274
y[1] (analytic) = 1.2404500633073775273624576722117
y[1] (numeric) = 1.2404500633073775273624576722127
absolute error = 1.0e-30
relative error = 8.0615901403860449931216372295790e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.275
y[1] (analytic) = 1.2412064476282379481424819654439
y[1] (numeric) = 1.2412064476282379481424819654449
absolute error = 1.0e-30
relative error = 8.0566774520939057679989033272280e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.276
y[1] (analytic) = 1.2419619695239809427816870660775
y[1] (numeric) = 1.2419619695239809427816870660785
absolute error = 1.0e-30
relative error = 8.0517763388783949493764393746324e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.277
y[1] (analytic) = 1.2427166292666345928680704024572
y[1] (numeric) = 1.2427166292666345928680704024582
absolute error = 1.0e-30
relative error = 8.0468867676626395435872203788786e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.278
y[1] (analytic) = 1.2434704271291891329987945343101
y[1] (numeric) = 1.2434704271291891329987945343111
absolute error = 1.0e-30
relative error = 8.0420087054961861732866042169565e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.279
y[1] (analytic) = 1.2442233633855966777899753047686
y[1] (numeric) = 1.2442233633855966777899753047696
absolute error = 1.0e-30
relative error = 8.0371421195543847859525755508529e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.28
y[1] (analytic) = 1.2449754383107709479245900535965
y[1] (numeric) = 1.2449754383107709479245900535975
absolute error = 1.0e-30
relative error = 8.0322869771377759198110006257266e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.281
y[1] (analytic) = 1.2457266521805869952387798436879
y[1] (numeric) = 1.2457266521805869952387798436889
absolute error = 1.0e-30
relative error = 8.0274432456714815031623396259574e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.282
y[1] (analytic) = 1.2464770052718809268468206145129
y[1] (numeric) = 1.2464770052718809268468206145139
absolute error = 1.0e-30
relative error = 8.0226108927045991632714272565926e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.283
y[1] (analytic) = 1.2472264978624496283050391375165
y[1] (numeric) = 1.2472264978624496283050391375174
absolute error = 9e-31
relative error = 7.2160108973186400190489434235277e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.284
y[1] (analytic) = 1.2479751302310504858149506095312
y[1] (numeric) = 1.2479751302310504858149506095322
absolute error = 1.0e-30
relative error = 8.0129801930817299488675624154159e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.285
y[1] (analytic) = 1.248722902657401107465895681044
y[1] (numeric) = 1.2487229026574011074658956810449
absolute error = 9e-31
relative error = 7.2073636039245728391955100830116e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.286
y[1] (analytic) = 1.2494698154221790435174556766546
y[1] (numeric) = 1.2494698154221790435174556766556
absolute error = 1.0e-30
relative error = 8.0033946211186658510540905562896e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.287
y[1] (analytic) = 1.2502158688070215057219257252902
y[1] (numeric) = 1.2502158688070215057219257252912
absolute error = 1.0e-30
relative error = 7.9986186781824966491607850069058e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.288
y[1] (analytic) = 1.2509610630945250856871264776764
y[1] (numeric) = 1.2509610630945250856871264776774
absolute error = 1.0e-30
relative error = 7.9938539216103325456496732632744e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=26.7MB, alloc=4.3MB, time=1.24
TOP MAIN SOLVE Loop
x[1] = 0.289
y[1] (analytic) = 1.2517053985682454722798360482323
y[1] (numeric) = 1.2517053985682454722798360482333
absolute error = 1.0e-30
relative error = 7.9891003198024315907622841868855e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.29
y[1] (analytic) = 1.2524488755126971680701247779319
y[1] (numeric) = 1.2524488755126971680701247779329
absolute error = 1.0e-30
relative error = 7.9843578412783055483347517278752e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.291
y[1] (analytic) = 1.2531914942133532048168763737751
y[1] (numeric) = 1.2531914942133532048168763737761
absolute error = 1.0e-30
relative error = 7.9796264546761447477980690900810e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.292
y[1] (analytic) = 1.2539332549566448579947799393226
y[1] (numeric) = 1.2539332549566448579947799393236
absolute error = 1.0e-30
relative error = 7.9749061287522462171962680832276e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.293
y[1] (analytic) = 1.2546741580299613603630783692788
y[1] (numeric) = 1.2546741580299613603630783692798
absolute error = 1.0e-30
relative error = 7.9701968323804450753184188554925e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.294
y[1] (analytic) = 1.2554142037216496145763595393507
y[1] (numeric) = 1.2554142037216496145763595393517
absolute error = 1.0e-30
relative error = 7.9654985345515491612072496352345e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.295
y[1] (analytic) = 1.256153392321013904837677680568
y[1] (numeric) = 1.2561533923210139048376776805691
absolute error = 1.1e-30
relative error = 8.7568923248100545674199278627820e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.296
y[1] (analytic) = 1.2568917241183156075942932849186
y[1] (numeric) = 1.2568917241183156075942932849196
absolute error = 1.0e-30
relative error = 7.9561348110671982400024750503651e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.297
y[1] (analytic) = 1.2576291994047729012763208465347
y[1] (numeric) = 1.2576291994047729012763208465357
absolute error = 1.0e-30
relative error = 7.9514693239731790708253989310521e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.298
y[1] (analytic) = 1.2583658184725604750785746997598
y[1] (numeric) = 1.2583658184725604750785746997607
absolute error = 9e-31
relative error = 7.1521332412894455447382418320071e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.299
y[1] (analytic) = 1.2591015816148092367859041722236
y[1] (numeric) = 1.2591015816148092367859041722245
absolute error = 9e-31
relative error = 7.1479538517118039802129370432595e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.3
y[1] (analytic) = 1.259836489125606019642310227568
y[1] (numeric) = 1.259836489125606019642310227569
absolute error = 1.0e-30
relative error = 7.9375379950619904982611278211356e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.301
y[1] (analytic) = 1.2605705412999932882641367286816
y[1] (numeric) = 1.2605705412999932882641367286825
absolute error = 9e-31
relative error = 7.1396242456360565113200458042095e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.302
y[1] (analytic) = 1.2613037384339688435976304082261
y[1] (numeric) = 1.2613037384339688435976304082271
absolute error = 1.0e-30
relative error = 7.9283044165206167815801415191440e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.303
y[1] (analytic) = 1.2620360808244855269211645888734
y[1] (numeric) = 1.2620360808244855269211645888744
absolute error = 1.0e-30
relative error = 7.9237037291889634056044108224565e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.304
y[1] (analytic) = 1.2627675687694509228924226510006
y[1] (numeric) = 1.2627675687694509228924226510016
absolute error = 1.0e-30
relative error = 7.9191137366196837792621568803934e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.305
y[1] (analytic) = 1.2634982025677270616408382006383
y[1] (numeric) = 1.2634982025677270616408382006394
absolute error = 1.1e-30
relative error = 8.7059878499592634159219712309547e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.306
y[1] (analytic) = 1.2642279825191301199055898452054
y[1] (numeric) = 1.2642279825191301199055898452065
absolute error = 1.1e-30
relative error = 8.7009622885273776544702101139472e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.307
y[1] (analytic) = 1.2649569089244301212194494390108
y[1] (numeric) = 1.2649569089244301212194494390118
absolute error = 1.0e-30
relative error = 7.9054076304487070051995330336076e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.308
y[1] (analytic) = 1.2656849820853506351387836146492
y[1] (numeric) = 1.2656849820853506351387836146503
absolute error = 1.1e-30
relative error = 8.6909461324857706399137668115518e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.309
y[1] (analytic) = 1.2664122023045684755200093702652
y[1] (numeric) = 1.2664122023045684755200093702662
absolute error = 1.0e-30
relative error = 7.8963231575014695678891054864507e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.31
y[1] (analytic) = 1.2671385698857133978428054362022
y[1] (numeric) = 1.2671385698857133978428054362032
absolute error = 1.0e-30
relative error = 7.8917967124163276248290515182958e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.311
y[1] (analytic) = 1.2678640851333677955803820978034
y[1] (numeric) = 1.2678640851333677955803820978044
absolute error = 1.0e-30
relative error = 7.8872807560820612348505526938037e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.312
y[1] (analytic) = 1.2685887483530663956171131040662
y[1] (numeric) = 1.2685887483530663956171131040672
absolute error = 1.0e-30
relative error = 7.8827752595018736140231949135211e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.313
y[1] (analytic) = 1.2693125598512959527138342444951
y[1] (numeric) = 1.2693125598512959527138342444961
absolute error = 1.0e-30
relative error = 7.8782801937857860245788355207522e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.314
y[1] (analytic) = 1.2700355199354949430211141288279
y[1] (numeric) = 1.2700355199354949430211141288289
absolute error = 1.0e-30
relative error = 7.8737955301501328319639683807389e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.315
y[1] (analytic) = 1.2707576289140532566408036563392
y[1] (numeric) = 1.2707576289140532566408036563402
absolute error = 1.0e-30
relative error = 7.8693212399170593789275801075886e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.316
y[1] (analytic) = 1.2714788870963118892361716131461
y[1] (numeric) = 1.2714788870963118892361716131471
absolute error = 1.0e-30
relative error = 7.8648572945140226582405446630014e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.317
y[1] (analytic) = 1.2721992947925626326909347873552
y[1] (numeric) = 1.2721992947925626326909347873562
absolute error = 1.0e-30
relative error = 7.8604036654732947657798430122316e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=30.5MB, alloc=4.3MB, time=1.42
TOP MAIN SOLVE Loop
x[1] = 0.318
y[1] (analytic) = 1.2729188523140477648174919429938
y[1] (numeric) = 1.2729188523140477648174919429948
absolute error = 1.0e-30
relative error = 7.8559603244314691158469843160368e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.319
y[1] (analytic) = 1.2736375599729597381146719444671
y[1] (numeric) = 1.2736375599729597381146719444681
absolute error = 1.0e-30
relative error = 7.8515272431289694007249559571560e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.32
y[1] (analytic) = 1.2743554180824408675753072737661
y[1] (numeric) = 1.2743554180824408675753072737671
absolute error = 1.0e-30
relative error = 7.8471043934095612766118521314562e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.321
y[1] (analytic) = 1.2750724269565830175439451328269
y[1] (numeric) = 1.2750724269565830175439451328279
absolute error = 1.0e-30
relative error = 7.8426917472198667582020352543795e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.322
y[1] (analytic) = 1.2757885869104272876250092733052
y[1] (numeric) = 1.2757885869104272876250092733061
absolute error = 9e-31
relative error = 7.0544603489479931738855532717147e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.323
y[1] (analytic) = 1.276503898259963697641726645576
y[1] (numeric) = 1.2765038982599636976417266455769
absolute error = 9e-31
relative error = 7.0505072583547442194087747178347e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.324
y[1] (analytic) = 1.2772183613221308716461339080079
y[1] (numeric) = 1.2772183613221308716461339080088
absolute error = 9e-31
relative error = 7.0465632757452070718192249700185e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.325
y[1] (analytic) = 1.2779319764148157209804797864775
y[1] (numeric) = 1.2779319764148157209804797864784
absolute error = 9e-31
relative error = 7.0426283762373021899512574952927e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.326
y[1] (analytic) = 1.2786447438568531263903402226954
y[1] (numeric) = 1.2786447438568531263903402226963
absolute error = 9e-31
relative error = 7.0387025350393715474102576758587e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.327
y[1] (analytic) = 1.2793566639680256191897641982033
y[1] (numeric) = 1.2793566639680256191897641982042
absolute error = 9e-31
relative error = 7.0347857274497558858753794555218e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.328
y[1] (analytic) = 1.2800677370690630614787690688678
y[1] (numeric) = 1.2800677370690630614787690688687
absolute error = 9e-31
relative error = 7.0308779288563742977530193640946e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.329
y[1] (analytic) = 1.2807779634816423254135051923513
y[1] (numeric) = 1.2807779634816423254135051923522
absolute error = 9e-31
relative error = 7.0269791147363061231451492474258e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.33
y[1] (analytic) = 1.2814873435283869715294105783662
y[1] (numeric) = 1.2814873435283869715294105783671
absolute error = 9e-31
relative error = 7.0230892606553751462074168174018e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.331
y[1] (analytic) = 1.2821958775328669261176772385331
y[1] (numeric) = 1.282195877532866926117677238534
absolute error = 9e-31
relative error = 7.0192083422677360760817939783099e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.332
y[1] (analytic) = 1.2829035658195981576553518593481
y[1] (numeric) = 1.282903565819598157655351859349
absolute error = 9e-31
relative error = 7.0153363353154632976975152113672e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.333
y[1] (analytic) = 1.2836104087140423522893943681328
y[1] (numeric) = 1.2836104087140423522893943681338
absolute error = 1.0e-30
relative error = 7.7905257951423798642690116119192e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.334
y[1] (analytic) = 1.2843164065426065883750189078808
y[1] (numeric) = 1.2843164065426065883750189078818
absolute error = 1.0e-30
relative error = 7.7862432879138453466794523561906e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.335
y[1] (analytic) = 1.2850215596326430100686426826321
y[1] (numeric) = 1.2850215596326430100686426826331
absolute error = 1.0e-30
relative error = 7.7819706020020094418382916658766e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.336
y[1] (analytic) = 1.2857258683124484999757690804005
y[1] (numeric) = 1.2857258683124484999757690804015
absolute error = 1.0e-30
relative error = 7.7777077108398560217022204736515e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.337
y[1] (analytic) = 1.286429332911264350854132425743
y[1] (numeric) = 1.286429332911264350854132425744
absolute error = 1.0e-30
relative error = 7.7734545879558100366856150902679e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.338
y[1] (analytic) = 1.2871319537592759363724326587988
y[1] (numeric) = 1.2871319537592759363724326587998
absolute error = 1.0e-30
relative error = 7.7692112069732953680702800840354e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.339
y[1] (analytic) = 1.2878337311876123809249891820363
y[1] (numeric) = 1.2878337311876123809249891820373
absolute error = 1.0e-30
relative error = 7.7649775416102950914161319483662e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.34
y[1] (analytic) = 1.2885346655283462285026440600266
y[1] (numeric) = 1.2885346655283462285026440600275
absolute error = 9e-31
relative error = 6.9846782091110227220092591754970e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.341
y[1] (analytic) = 1.2892347571144931106202457013121
y[1] (numeric) = 1.289234757114493110620245701313
absolute error = 9e-31
relative error = 6.9808853277764498897539734506683e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.342
y[1] (analytic) = 1.2899340062800114133010450948604
y[1] (numeric) = 1.2899340062800114133010450948612
absolute error = 8e-31
relative error = 6.2018676622619454152013293379780e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.343
y[1] (analytic) = 1.2906324133598019431183376166772
y[1] (numeric) = 1.2906324133598019431183376166781
absolute error = 9e-31
relative error = 6.9733255625984219819685505719294e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.344
y[1] (analytic) = 1.2913299786897075922946843649114
y[1] (numeric) = 1.2913299786897075922946843649122
absolute error = 8e-31
relative error = 6.1951632286253242126097876630815e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.345
y[1] (analytic) = 1.2920267026065130028590479241997
y[1] (numeric) = 1.2920267026065130028590479242005
absolute error = 8e-31
relative error = 6.1918224939631155904827666831697e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.346
y[1] (analytic) = 1.2927225854479442298621784020909
y[1] (numeric) = 1.2927225854479442298621784020917
absolute error = 8e-31
relative error = 6.1884893867061987531235304125397e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=34.3MB, alloc=4.3MB, time=1.61
TOP MAIN SOLVE Loop
x[1] = 0.347
y[1] (analytic) = 1.2934176275526684036505865221322
y[1] (numeric) = 1.293417627552668403650586522133
absolute error = 8e-31
relative error = 6.1851638864217020204364821897844e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.348
y[1] (analytic) = 1.2941118292602933911994414996184
y[1] (numeric) = 1.2941118292602933911994414996193
absolute error = 9e-31
relative error = 6.9545767193429847254456461688332e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.349
y[1] (analytic) = 1.2948051909113674565047323670778
y[1] (numeric) = 1.2948051909113674565047323670787
absolute error = 9e-31
relative error = 6.9508525785761016025304454525014e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.35
y[1] (analytic) = 1.2954977128473789200350323573037
y[1] (numeric) = 1.2954977128473789200350323573045
absolute error = 8e-31
relative error = 6.1752328241605091144290534395289e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.351
y[1] (analytic) = 1.2961893954107558172432068921403
y[1] (numeric) = 1.2961893954107558172432068921411
absolute error = 8e-31
relative error = 6.1719375488833101802490836915846e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.352
y[1] (analytic) = 1.2968802389448655561384066652863
y[1] (numeric) = 1.2968802389448655561384066652871
absolute error = 8e-31
relative error = 6.1686497794960272156398042051160e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.353
y[1] (analytic) = 1.2975702437940145739186882470937
y[1] (numeric) = 1.2975702437940145739186882470945
absolute error = 8e-31
relative error = 6.1653694959962231243810060087207e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.354
y[1] (analytic) = 1.2982594103034479926646055787134
y[1] (numeric) = 1.2982594103034479926646055787142
absolute error = 8e-31
relative error = 6.1620966784520546108104007742218e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.355
y[1] (analytic) = 1.298947738819349274094116661967
y[1] (numeric) = 1.2989477388193492740941166619678
absolute error = 8e-31
relative error = 6.1588313070019496345124185482394e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.356
y[1] (analytic) = 1.2996352296888398733791506900099
y[1] (numeric) = 1.2996352296888398733791506900107
absolute error = 8e-31
relative error = 6.1555733618542865960154888115467e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.357
y[1] (analytic) = 1.3003218832599788920241818021889
y[1] (numeric) = 1.3003218832599788920241818021897
absolute error = 8e-31
relative error = 6.1523228232870752426049420926280e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.358
y[1] (analytic) = 1.3010076998817627298071565844923
y[1] (numeric) = 1.3010076998817627298071565844931
absolute error = 8e-31
relative error = 6.1490796716476392834369256976172e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.359
y[1] (analytic) = 1.3016926799041247357831233746356
y[1] (numeric) = 1.3016926799041247357831233746364
absolute error = 8e-31
relative error = 6.1458438873523007032163520910586e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.36
y[1] (analytic) = 1.3023768236779348583509123681247
y[1] (numeric) = 1.3023768236779348583509123681255
absolute error = 8e-31
relative error = 6.1426154508860657637788977283605e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.361
y[1] (analytic) = 1.303060131554999294383216458587
y[1] (numeric) = 1.3030601315549992943832164585877
absolute error = 7e-31
relative error = 5.3719700499520235976192681404907e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.362
y[1] (analytic) = 1.3037426038880601374204236822605
y[1] (numeric) = 1.3037426038880601374204236822612
absolute error = 7e-31
relative error = 5.3691579757571708579175141079433e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.363
y[1] (analytic) = 1.3044242410307950249285530727796
y[1] (numeric) = 1.3044242410307950249285530727803
absolute error = 7e-31
relative error = 5.3663522800437921697291225054976e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.364
y[1] (analytic) = 1.3051050433378167846216466682912
y[1] (numeric) = 1.3051050433378167846216466682919
absolute error = 7e-31
relative error = 5.3635529459739447115469627609762e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.365
y[1] (analytic) = 1.3057850111646730798489713484808
y[1] (numeric) = 1.3057850111646730798489713484815
absolute error = 7e-31
relative error = 5.3607599567684324932015196198031e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.366
y[1] (analytic) = 1.3064641448678460540473851142766
y[1] (numeric) = 1.3064641448678460540473851142773
absolute error = 7e-31
relative error = 5.3579732957065402765694392467606e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.367
y[1] (analytic) = 1.3071424448047519742592233578357
y[1] (numeric) = 1.3071424448047519742592233578364
absolute error = 7e-31
relative error = 5.3551929461257689097472384733154e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.368
y[1] (analytic) = 1.3078199113337408737160616048967
y[1] (numeric) = 1.3078199113337408737160616048974
absolute error = 7e-31
relative error = 5.3524188914215720658825561084681e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.369
y[1] (analytic) = 1.3084965448140961934887121457059
y[1] (numeric) = 1.3084965448140961934887121457066
absolute error = 7e-31
relative error = 5.3496511150470943779179870543186e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.37
y[1] (analytic) = 1.3091723456060344232038129044909
y[1] (numeric) = 1.3091723456060344232038129044916
absolute error = 7e-31
relative error = 5.3468896005129109605647012063114e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.371
y[1] (analytic) = 1.3098473140707047408273678308622
y[1] (numeric) = 1.3098473140707047408273678308629
absolute error = 7e-31
relative error = 5.3441343313867683108847142145172e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.372
y[1] (analytic) = 1.3105214505701886515155990295735
y[1] (numeric) = 1.3105214505701886515155990295742
absolute error = 7e-31
relative error = 5.3413852912933265789218505350623e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.373
y[1] (analytic) = 1.3111947554674996255334717777569
y[1] (numeric) = 1.3111947554674996255334717777576
absolute error = 7e-31
relative error = 5.3386424639139031998821251658654e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.374
y[1] (analytic) = 1.3118672291265827352412545110794
y[1] (numeric) = 1.3118672291265827352412545110801
absolute error = 7e-31
relative error = 5.3359058329862178794244733516502e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.375
y[1] (analytic) = 1.3125388719123142911494767922296
y[1] (numeric) = 1.3125388719123142911494767922302
absolute error = 6e-31
relative error = 4.5712931848321190774421271126119e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.3MB, time=1.79
x[1] = 0.376
y[1] (analytic) = 1.3132096841905014770426492067458
y[1] (numeric) = 1.3132096841905014770426492067464
absolute error = 6e-31
relative error = 4.5689580820435122048831626715664e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.377
y[1] (analytic) = 1.313879666327881984172110062437
y[1] (numeric) = 1.3138796663278819841721100624376
absolute error = 6e-31
relative error = 4.5666282489698602799986963053696e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.378
y[1] (analytic) = 1.3145488186921236445183646995176
y[1] (numeric) = 1.3145488186921236445183646995182
absolute error = 6e-31
relative error = 4.5643036718632822261161783148684e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.379
y[1] (analytic) = 1.315217141651824063123284149087
y[1] (numeric) = 1.3152171416518240631232841490876
absolute error = 6e-31
relative error = 4.5619843370231659971475221652983e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.38
y[1] (analytic) = 1.3158846355765102494925308077246
y[1] (numeric) = 1.3158846355765102494925308077251
absolute error = 5e-31
relative error = 3.7997251923299640027841786027725e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.381
y[1] (analytic) = 1.3165513008366382480685797257438
y[1] (numeric) = 1.3165513008366382480685797257443
absolute error = 5e-31
relative error = 3.7978011163124553730154312689190e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.382
y[1] (analytic) = 1.3172171378035927677747050360532
y[1] (numeric) = 1.3172171378035927677747050360537
absolute error = 5e-31
relative error = 3.7958813748333864713856864922756e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.383
y[1] (analytic) = 1.317882146849686810630301979607
y[1] (numeric) = 1.3178821468496868106303019796075
absolute error = 5e-31
relative error = 3.7939659566313884691400417019985e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.384
y[1] (analytic) = 1.3185463283481612994379159120923
y[1] (numeric) = 1.3185463283481612994379159120928
absolute error = 5e-31
relative error = 3.7920548504836102017613554306539e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.385
y[1] (analytic) = 1.3192096826731847045423506047928
y[1] (numeric) = 1.3192096826731847045423506047933
absolute error = 5e-31
relative error = 3.7901480452055462613080917612243e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.386
y[1] (analytic) = 1.3198722101998526696622290804899
y[1] (numeric) = 1.3198722101998526696622290804904
absolute error = 5e-31
relative error = 3.7882455296508659861573033958602e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.387
y[1] (analytic) = 1.3205339113041876367943811528091
y[1] (numeric) = 1.3205339113041876367943811528096
absolute error = 5e-31
relative error = 3.7863472927112433426538214281858e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.388
y[1] (analytic) = 1.3211947863631384701914327645926
y[1] (numeric) = 1.3211947863631384701914327645931
absolute error = 5e-31
relative error = 3.7844533233161876932051985199876e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.389
y[1] (analytic) = 1.3218548357545800794129731476774
y[1] (numeric) = 1.3218548357545800794129731476779
absolute error = 5e-31
relative error = 3.7825636104328754454001285411362e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.39
y[1] (analytic) = 1.3225140598573130414506767528811
y[1] (numeric) = 1.3225140598573130414506767528816
absolute error = 5e-31
relative error = 3.7806781430659825767659424664417e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.391
y[1] (analytic) = 1.3231724590510632219277578250411
y[1] (numeric) = 1.3231724590510632219277578250416
absolute error = 5e-31
relative error = 3.7787969102575180298183600473499e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.392
y[1] (analytic) = 1.3238300337164813953731364236214
y[1] (numeric) = 1.3238300337164813953731364236219
absolute error = 5e-31
relative error = 3.7769199010866579720939620774341e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.393
y[1] (analytic) = 1.3244867842351428645706956146894
y[1] (numeric) = 1.3244867842351428645706956146898
absolute error = 4e-31
relative error = 3.0200376837356647327142732090116e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.394
y[1] (analytic) = 1.3251427109895470789840104849733
y[1] (numeric) = 1.3251427109895470789840104849738
absolute error = 5e-31
relative error = 3.7731785101593036924955958146604e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.395
y[1] (analytic) = 1.3257978143631172522569305532408
y[1] (numeric) = 1.3257978143631172522569305532413
absolute error = 5e-31
relative error = 3.7713141067455182756552402344943e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.396
y[1] (analytic) = 1.3264520947401999787903980783825
y[1] (numeric) = 1.326452094740199978790398078383
absolute error = 5e-31
relative error = 3.7694538836544294492007546681193e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.397
y[1] (analytic) = 1.3271055525060648493958856873514
y[1] (numeric) = 1.3271055525060648493958856873519
absolute error = 5e-31
relative error = 3.7675978301485933136248279522879e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.398
y[1] (analytic) = 1.3277581880469040660258376694886
y[1] (numeric) = 1.3277581880469040660258376694891
absolute error = 5e-31
relative error = 3.7657459355267566265639351218684e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.399
y[1] (analytic) = 1.3284100017498320555815002067615
y[1] (numeric) = 1.328410001749832055581500206762
absolute error = 5e-31
relative error = 3.7638981891236969721141779291661e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.4
y[1] (analytic) = 1.3290609940028850827985267320518
y[1] (numeric) = 1.3290609940028850827985267320523
absolute error = 5e-31
relative error = 3.7620545803100637539613390616361e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.401
y[1] (analytic) = 1.3297111651950208622107455298569
y[1] (numeric) = 1.3297111651950208622107455298574
absolute error = 5e-31
relative error = 3.7602150984922200073383484228829e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.402
y[1] (analytic) = 1.3303605157161181691924776156028
y[1] (numeric) = 1.3303605157161181691924776156034
absolute error = 6e-31
relative error = 4.5100556797345020298294054802135e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.403
y[1] (analytic) = 1.3310090459569764500797938512206
y[1] (numeric) = 1.3310090459569764500797938512212
absolute error = 6e-31
relative error = 4.5078581683763733495620058720567e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.404
y[1] (analytic) = 1.3316567563093154313711011756945
y[1] (numeric) = 1.3316567563093154313711011756951
absolute error = 6e-31
relative error = 4.5056655715313534669799401982430e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.3MB, time=1.98
x[1] = 0.405
y[1] (analytic) = 1.3323036471657747280074487499645
y[1] (numeric) = 1.3323036471657747280074487499651
absolute error = 6e-31
relative error = 4.5034778766566246439988054911998e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.406
y[1] (analytic) = 1.3329497189199134507329457358444
y[1] (numeric) = 1.332949718919913450732945735845
absolute error = 6e-31
relative error = 4.5012950712512909044615771011942e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.407
y[1] (analytic) = 1.3335949719662098125356833485036
y[1] (numeric) = 1.3335949719662098125356833485042
absolute error = 6e-31
relative error = 4.4991171428561939806721403229587e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.408
y[1] (analytic) = 1.3342394067000607341695547415594
y[1] (numeric) = 1.33423940670006073416955474156
absolute error = 6e-31
relative error = 4.4969440790537302017732591375566e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.409
y[1] (analytic) = 1.3348830235177814487573672029263
y[1] (numeric) = 1.334883023517781448757367202927
absolute error = 7e-31
relative error = 5.2439051787122797046914688655170e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.41
y[1] (analytic) = 1.335525822816605105475642058277
y[1] (numeric) = 1.3355258228166051054756420582777
absolute error = 7e-31
relative error = 5.2413812450567963002233458595600e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.411
y[1] (analytic) = 1.3361678049946823723214985972821
y[1] (numeric) = 1.3361678049946823723214985972828
absolute error = 7e-31
relative error = 5.2388629435865342696179474907636e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.412
y[1] (analytic) = 1.3368089704510810379620192557123
y[1] (numeric) = 1.336808970451081037962019255713
absolute error = 7e-31
relative error = 5.2363502600060962259878916793023e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.413
y[1] (analytic) = 1.337449319585785612666494204004
y[1] (numeric) = 1.3374493195857856126664942040047
absolute error = 7e-31
relative error = 5.2338431800675132469552660538110e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.414
y[1] (analytic) = 1.3380888527996969283219444100102
y[1] (numeric) = 1.3380888527996969283219444100109
absolute error = 7e-31
relative error = 5.2313416895700377001932529339247e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.415
y[1] (analytic) = 1.3387275704946317375323231603814
y[1] (numeric) = 1.3387275704946317375323231603821
absolute error = 7e-31
relative error = 5.2288457743599371224869885440092e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.416
y[1] (analytic) = 1.3393654730733223118017969413405
y[1] (numeric) = 1.3393654730733223118017969413412
absolute error = 7e-31
relative error = 5.2263554203302891460182735546271e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.417
y[1] (analytic) = 1.3400025609394160388025074955377
y[1] (numeric) = 1.3400025609394160388025074955384
absolute error = 7e-31
relative error = 5.2238706134207774656217285759340e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.418
y[1] (analytic) = 1.3406388344974750187272177871901
y[1] (numeric) = 1.3406388344974750187272177871908
absolute error = 7e-31
relative error = 5.2213913396174888408026355663189e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.419
y[1] (analytic) = 1.3412742941529756597272455228257
y[1] (numeric) = 1.3412742941529756597272455228264
absolute error = 7e-31
relative error = 5.2189175849527111263490270722783e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.42
y[1] (analytic) = 1.3419089403123082724360887896657
y[1] (numeric) = 1.3419089403123082724360887896664
absolute error = 7e-31
relative error = 5.2164493355047323254125825576176e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.421
y[1] (analytic) = 1.342542773382776663579149287984
y[1] (numeric) = 1.3425427733827766635791492879847
absolute error = 7e-31
relative error = 5.2139865773976406589745675616002e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.422
y[1] (analytic) = 1.3431757937725977286699595476886
y[1] (numeric) = 1.3431757937725977286699595476893
absolute error = 7e-31
relative error = 5.2115292968011256456544097708245e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.423
y[1] (analytic) = 1.3438080018909010437933214328626
y[1] (numeric) = 1.3438080018909010437933214328632
absolute error = 6e-31
relative error = 4.4649235542259544450224705691408e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.424
y[1] (analytic) = 1.344439398147728456475764151092
y[1] (numeric) = 1.3444393981477284564757641510927
absolute error = 7e-31
relative error = 5.2066311130454036443159281993767e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.425
y[1] (analytic) = 1.3450699829540336756437308970901
y[1] (numeric) = 1.3450699829540336756437308970908
absolute error = 7e-31
relative error = 5.2041901824518059250589127102772e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.426
y[1] (analytic) = 1.3456997567216818606699041723951
y[1] (numeric) = 1.3456997567216818606699041723958
absolute error = 7e-31
relative error = 5.2017546744996125330045373789003e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.427
y[1] (analytic) = 1.346328719863449209508080734783
y[1] (numeric) = 1.3463287198634492095080807347837
absolute error = 7e-31
relative error = 5.1993245755835706162607889724858e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.428
y[1] (analytic) = 1.3469568727930225459170080424865
y[1] (numeric) = 1.3469568727930225459170080424872
absolute error = 7e-31
relative error = 5.1968998721428559833781365241373e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.429
y[1] (analytic) = 1.3475842159249989057735949693482
y[1] (numeric) = 1.3475842159249989057735949693489
absolute error = 7e-31
relative error = 5.1944805506608810897777278752498e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.43
y[1] (analytic) = 1.3482107496748851224759104776634
y[1] (numeric) = 1.3482107496748851224759104776642
absolute error = 8e-31
relative error = 5.9337903973315474144395188518176e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.431
y[1] (analytic) = 1.34883647445909741143638484568
y[1] (numeric) = 1.3488364744590974114363848456807
absolute error = 7e-31
relative error = 5.1896579997268382335316962628540e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.432
y[1] (analytic) = 1.3494613906949609536656289565175
y[1] (numeric) = 1.3494613906949609536656289565182
absolute error = 7e-31
relative error = 5.1872547434610637482393932419581e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.433
y[1] (analytic) = 1.3500854988007094784472880646543
y[1] (numeric) = 1.3500854988007094784472880646549
absolute error = 6e-31
relative error = 4.4441629847367759625817957576099e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.434
y[1] (analytic) = 1.3507087991954848451043473650912
y[1] (numeric) = 1.3507087991954848451043473650918
absolute error = 6e-31
relative error = 4.4421121736778101715708579595240e-29 %
Correct digits = 30
h = 0.001
memory used=45.7MB, alloc=4.3MB, time=2.16
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.435
y[1] (analytic) = 1.3513312922993366238573075988539
y[1] (numeric) = 1.3513312922993366238573075988546
absolute error = 7e-31
relative error = 5.1800768914995370890717684053778e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.436
y[1] (analytic) = 1.3519529785332216757746498366219
y[1] (numeric) = 1.3519529785332216757746498366226
absolute error = 7e-31
relative error = 5.1776948689402871120668918315147e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.437
y[1] (analytic) = 1.3525738583190037318160094899842
y[1] (numeric) = 1.352573858319003731816009489985
absolute error = 8e-31
relative error = 5.9146492820307080093287762954733e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.438
y[1] (analytic) = 1.3531939320794529709684805071144
y[1] (numeric) = 1.3531939320794529709684805071151
absolute error = 7e-31
relative error = 5.1729466368823430557906819829687e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.439
y[1] (analytic) = 1.3538132002382455974764716165229
y[1] (numeric) = 1.3538132002382455974764716165237
absolute error = 8e-31
relative error = 5.9092347441967258390892673642421e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.44
y[1] (analytic) = 1.3544316632199634171655373889984
y[1] (numeric) = 1.3544316632199634171655373889991
absolute error = 7e-31
relative error = 5.1682194016038598765111607964979e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.441
y[1] (analytic) = 1.3550493214500934128606077938682
y[1] (numeric) = 1.355049321450093412860607793869
absolute error = 8e-31
relative error = 5.9038441430595858293878297965243e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.442
y[1] (analytic) = 1.3556661753550273188990408313166
y[1] (numeric) = 1.3556661753550273188990408313174
absolute error = 8e-31
relative error = 5.9011577816381881582202806041637e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.443
y[1] (analytic) = 1.3562822253620611947389237276696
y[1] (numeric) = 1.3562822253620611947389237276704
absolute error = 8e-31
relative error = 5.8984773599494679213363597582706e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.444
y[1] (analytic) = 1.3568974718993949976630490853117
y[1] (numeric) = 1.3568974718993949976630490853125
absolute error = 8e-31
relative error = 5.8958028632786392727823944226489e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.445
y[1] (analytic) = 1.3575119153961321545789932832218
y[1] (numeric) = 1.3575119153961321545789932832226
absolute error = 8e-31
relative error = 5.8931342769581068624692457283699e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.446
y[1] (analytic) = 1.3581255562822791329157253280146
y[1] (numeric) = 1.3581255562822791329157253280154
absolute error = 8e-31
relative error = 5.8904715863672642561889407425020e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.447
y[1] (analytic) = 1.3587383949887450106171752588427
y[1] (numeric) = 1.3587383949887450106171752588435
absolute error = 8e-31
relative error = 5.8878147769322933520270556447940e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.448
y[1] (analytic) = 1.3593504319473410452331921125551
y[1] (numeric) = 1.3593504319473410452331921125559
absolute error = 8e-31
relative error = 5.8851638341259647873761023359555e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.449
y[1] (analytic) = 1.3599616675907802421083223581184
y[1] (numeric) = 1.3599616675907802421083223581192
absolute error = 8e-31
relative error = 5.8825187434674393307936980043315e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.45
y[1] (analytic) = 1.3605721023526769216688406114864
y[1] (numeric) = 1.3605721023526769216688406114873
absolute error = 9e-31
relative error = 6.6148644268373290346109794481616e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.451
y[1] (analytic) = 1.3611817366675462858084653438511
y[1] (numeric) = 1.3611817366675462858084653438519
absolute error = 8e-31
relative error = 5.8772460609012066712471419592040e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.452
y[1] (analytic) = 1.3617905709708039833731931975225
y[1] (numeric) = 1.3617905709708039833731931975233
absolute error = 8e-31
relative error = 5.8746184402619978616800359194715e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.453
y[1] (analytic) = 1.362398605698765674745686424569
y[1] (numeric) = 1.3623986056987656747456864245699
absolute error = 9e-31
relative error = 6.6059961910955983503533092210026e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.454
y[1] (analytic) = 1.363005841288646595529648863792
y[1] (numeric) = 1.3630058412886465955296488637928
absolute error = 8e-31
relative error = 5.8693805687849750608312638273656e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.455
y[1] (analytic) = 1.3636122781785611193346267716233
y[1] (numeric) = 1.3636122781785611193346267716241
absolute error = 8e-31
relative error = 5.8667702894887126634025241059954e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.456
y[1] (analytic) = 1.3642179168075223196616717221096
y[1] (numeric) = 1.3642179168075223196616717221104
absolute error = 8e-31
relative error = 5.8641657622568235357948594234358e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.457
y[1] (analytic) = 1.3648227576154415308903036902821
y[1] (numeric) = 1.3648227576154415308903036902828
absolute error = 7e-31
relative error = 5.1288711013509864252985275940054e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.458
y[1] (analytic) = 1.3654268010431279083672133319129
y[1] (numeric) = 1.3654268010431279083672133319136
absolute error = 7e-31
relative error = 5.1266021691183285711813910853171e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.459
y[1] (analytic) = 1.3660300475322879875971433709198
y[1] (numeric) = 1.3660300475322879875971433709206
absolute error = 8e-31
relative error = 5.8563865520029192942367195702503e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.46
y[1] (analytic) = 1.3666324975255252425363899035004
y[1] (numeric) = 1.3666324975255252425363899035012
absolute error = 8e-31
relative error = 5.8538048923065216443553584203826e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.461
y[1] (analytic) = 1.367234151466339642989365325457
y[1] (numeric) = 1.3672341514663396429893653254578
absolute error = 8e-31
relative error = 5.8512289145353128302209521235431e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.462
y[1] (analytic) = 1.3678350097991272111086654861145
y[1] (numeric) = 1.3678350097991272111086654861153
absolute error = 8e-31
relative error = 5.8486586047938898458361948880693e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.463
y[1] (analytic) = 1.3684350729691795769990845687246
y[1] (numeric) = 1.3684350729691795769990845687254
absolute error = 8e-31
relative error = 5.8460939492305595768798145002866e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=49.5MB, alloc=4.3MB, time=2.34
TOP MAIN SOLVE Loop
x[1] = 0.464
y[1] (analytic) = 1.3690343414226835334260220933066
y[1] (numeric) = 1.3690343414226835334260220933074
absolute error = 8e-31
relative error = 5.8435349340371542998297795675040e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.465
y[1] (analytic) = 1.3696328156067205896287273334791
y[1] (numeric) = 1.3696328156067205896287273334799
absolute error = 8e-31
relative error = 5.8409815454488480788442264887334e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.466
y[1] (analytic) = 1.3702304959692665242388273340021
y[1] (numeric) = 1.370230495969266524238827334003
absolute error = 9e-31
relative error = 6.5682379909619708121638851470983e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.467
y[1] (analytic) = 1.3708273829591909373045856104637
y[1] (numeric) = 1.3708273829591909373045856104646
absolute error = 9e-31
relative error = 6.5653780423993229526487879929977e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.468
y[1] (analytic) = 1.371423477026256801421339506815
y[1] (numeric) = 1.3714234770262568014213395068159
absolute error = 9e-31
relative error = 6.5625243776016305579072527022559e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.469
y[1] (analytic) = 1.3720187786211200119685650802794
y[1] (numeric) = 1.3720187786211200119685650802803
absolute error = 9e-31
relative error = 6.5596769812764569574131923423234e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.47
y[1] (analytic) = 1.3726132881953289364540192765334
y[1] (numeric) = 1.3726132881953289364540192765343
absolute error = 9e-31
relative error = 6.5568358381791071727005435743152e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.471
y[1] (analytic) = 1.3732070062013239629654100509787
y[1] (numeric) = 1.3732070062013239629654100509796
absolute error = 9e-31
relative error = 6.5540009331124273035254313062154e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.472
y[1] (analytic) = 1.373799933092437047730045984399
y[1] (numeric) = 1.3737999330924370477300459843999
absolute error = 9e-31
relative error = 6.5511722509266048842887406341615e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.473
y[1] (analytic) = 1.3743920693228912617829178333128
y[1] (numeric) = 1.3743920693228912617829178333137
absolute error = 9e-31
relative error = 6.5483497765189702051925197053923e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.474
y[1] (analytic) = 1.3749834153478003367436653469044
y[1] (numeric) = 1.3749834153478003367436653469053
absolute error = 9e-31
relative error = 6.5455334948337985926396531468081e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.475
y[1] (analytic) = 1.3755739716231682097028835735269
y[1] (numeric) = 1.3755739716231682097028835735278
absolute error = 9e-31
relative error = 6.5427233908621136434219987703642e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.476
y[1] (analytic) = 1.3761637386058885672182237704341
y[1] (numeric) = 1.3761637386058885672182237704349
absolute error = 8e-31
relative error = 5.8132617330146590286912644672620e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.477
y[1] (analytic) = 1.3767527167537443884207449206015
y[1] (numeric) = 1.3767527167537443884207449206024
absolute error = 9e-31
relative error = 6.5371216562558655124334002372121e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.478
y[1] (analytic) = 1.3773409065254074872319727502484
y[1] (numeric) = 1.3773409065254074872319727502493
absolute error = 9e-31
relative error = 6.5343299958353332287828316356510e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.479
y[1] (analytic) = 1.3779283083804380536921240299613
y[1] (numeric) = 1.3779283083804380536921240299622
absolute error = 9e-31
relative error = 6.5315444535559624633864346481092e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.48
y[1] (analytic) = 1.3785149227792841943999548311587
y[1] (numeric) = 1.3785149227792841943999548311596
absolute error = 9e-31
relative error = 6.5287650146395996830130579111972e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.481
y[1] (analytic) = 1.3791007501832814720646922980094
y[1] (numeric) = 1.3791007501832814720646922980102
absolute error = 8e-31
relative error = 5.8008814794254922297577502705449e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.482
y[1] (analytic) = 1.3796857910546524441705103828338
y[1] (numeric) = 1.3796857910546524441705103828347
absolute error = 9e-31
relative error = 6.5232243880110307255621474934639e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.483
y[1] (analytic) = 1.3802700458565062007540108804759
y[1] (numeric) = 1.3802700458565062007540108804768
absolute error = 9e-31
relative error = 6.5204631709696944573453352807671e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.484
y[1] (analytic) = 1.3808535150528379012951719841238
y[1] (numeric) = 1.3808535150528379012951719841246
absolute error = 8e-31
relative error = 5.7935182210068695491474044139217e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.485
y[1] (analytic) = 1.3814361991085283107222274715935
y[1] (numeric) = 1.3814361991085283107222274715943
absolute error = 8e-31
relative error = 5.7910745390649086813228812446613e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.486
y[1] (analytic) = 1.382018098489343334530940517158
y[1] (numeric) = 1.3820180984893433345309405171588
absolute error = 8e-31
relative error = 5.7886362043627662084137172696623e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.487
y[1] (analytic) = 1.3825992136619335530187370096079
y[1] (numeric) = 1.3825992136619335530187370096087
absolute error = 8e-31
relative error = 5.7862032040444376809134385432045e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.488
y[1] (analytic) = 1.3831795450938337546341641423728
y[1] (numeric) = 1.3831795450938337546341641423736
absolute error = 8e-31
relative error = 5.7837755252932739303201213190970e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.489
y[1] (analytic) = 1.383759093253462468442140926205
y[1] (numeric) = 1.3837590932534624684421409262058
absolute error = 8e-31
relative error = 5.7813531553318175437014724120271e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.49
y[1] (analytic) = 1.3843378586101214957054681591367
y[1] (numeric) = 1.3843378586101214957054681591375
absolute error = 8e-31
relative error = 5.7789360814216401170015042724736e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.491
y[1] (analytic) = 1.3849158416339954405830662721614
y[1] (numeric) = 1.3849158416339954405830662721622
absolute error = 8e-31
relative error = 5.7765242908631802827182865276615e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.492
y[1] (analytic) = 1.3854930427961512399454103523624
y[1] (numeric) = 1.3854930427961512399454103523632
absolute error = 8e-31
relative error = 5.7741177709955825076103399201195e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.3MB, time=2.53
x[1] = 0.493
y[1] (analytic) = 1.3860694625685376923076325280146
y[1] (numeric) = 1.3860694625685376923076325280154
absolute error = 8e-31
relative error = 5.7717165091965366561171207265441e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.494
y[1] (analytic) = 1.3866451014239849858807627825173
y[1] (numeric) = 1.3866451014239849858807627825182
absolute error = 9e-31
relative error = 6.4904855544923831046075661647729e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.495
y[1] (analytic) = 1.3872199598362042257415801458792
y[1] (numeric) = 1.3872199598362042257415801458801
absolute error = 9e-31
relative error = 6.4877959231949586109403573421871e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.496
y[1] (analytic) = 1.3877940382797869601215470938628
y[1] (numeric) = 1.3877940382797869601215470938636
absolute error = 8e-31
relative error = 5.7645441465624423706789524415539e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.497
y[1] (analytic) = 1.3883673372302047058153008658165
y[1] (numeric) = 1.3883673372302047058153008658173
absolute error = 8e-31
relative error = 5.7621637915798380522544551687198e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.498
y[1] (analytic) = 1.3889398571638084727091762926628
y[1] (numeric) = 1.3889398571638084727091762926636
absolute error = 8e-31
relative error = 5.7597886321268537267151261771346e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.499
y[1] (analytic) = 1.3895115985578282874302356064793
y[1] (numeric) = 1.38951159855782828743023560648
absolute error = 7e-31
relative error = 5.0377413238329842172427253437379e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.5
y[1] (analytic) = 1.3900825618903727161162815826038
y[1] (numeric) = 1.3900825618903727161162815826046
absolute error = 8e-31
relative error = 5.7550538502697301818318949731330e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.501
y[1] (analytic) = 1.3906527476404283863073312442114
y[1] (numeric) = 1.3906527476404283863073312442122
absolute error = 8e-31
relative error = 5.7526942031890376257474907309952e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.502
y[1] (analytic) = 1.3912221562878595079590282378478
y[1] (numeric) = 1.3912221562878595079590282378486
absolute error = 8e-31
relative error = 5.7503397022845501913521167761595e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.503
y[1] (analytic) = 1.3917907883134073935784728664688
y[1] (numeric) = 1.3917907883134073935784728664695
absolute error = 7e-31
relative error = 5.0294915433969089931632770644585e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.504
y[1] (analytic) = 1.3923586441986899774829496441145
y[1] (numeric) = 1.3923586441986899774829496441152
absolute error = 7e-31
relative error = 5.0274403288015914341345079786690e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.505
y[1] (analytic) = 1.3929257244262013341820331134515
y[1] (numeric) = 1.3929257244262013341820331134523
absolute error = 8e-31
relative error = 5.7433069543571692365672940307490e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.506
y[1] (analytic) = 1.3934920294793111958835535440366
y[1] (numeric) = 1.3934920294793111958835535440374
absolute error = 8e-31
relative error = 5.7409729160698969495601226889887e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.507
y[1] (analytic) = 1.3940575598422644691239050052961
y[1] (numeric) = 1.3940575598422644691239050052968
absolute error = 7e-31
relative error = 5.0213134677107877421680110447728e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.508
y[1] (analytic) = 1.3946223160001807505231791838722
y[1] (numeric) = 1.394622316000180750523179183873
absolute error = 8e-31
relative error = 5.7363200833787340293383101394259e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.509
y[1] (analytic) = 1.395186298439053841665609190164
y[1] (numeric) = 1.3951862984390538416656091901648
absolute error = 8e-31
relative error = 5.7340012648851750094643644140905e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.51
y[1] (analytic) = 1.3957495076457512631058084735755
y[1] (numeric) = 1.3957495076457512631058084735763
absolute error = 8e-31
relative error = 5.7316874956265025282730892708608e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.511
y[1] (analytic) = 1.3963119441080137675012908401947
y[1] (numeric) = 1.3963119441080137675012908401955
absolute error = 8e-31
relative error = 5.7293787636476367592373262680939e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.512
y[1] (analytic) = 1.3968736083144548518717584403411
y[1] (numeric) = 1.3968736083144548518717584403419
absolute error = 8e-31
relative error = 5.7270750570291349231959008102581e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.513
y[1] (analytic) = 1.3974345007545602689856454666536
y[1] (numeric) = 1.3974345007545602689856454666543
absolute error = 7e-31
relative error = 5.0091793184011646385643727788141e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.514
y[1] (analytic) = 1.3979946219186875378744061761341
y[1] (numeric) = 1.3979946219186875378744061761348
absolute error = 7e-31
relative error = 5.0071723383261666875829136724073e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.515
y[1] (analytic) = 1.3985539722980654534750367218189
y[1] (numeric) = 1.3985539722980654534750367218196
absolute error = 7e-31
relative error = 5.0051697243387699708992281816379e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.516
y[1] (analytic) = 1.3991125523847935954013211515137
y[1] (numeric) = 1.3991125523847935954013211515145
absolute error = 8e-31
relative error = 5.7179102470090517477333951156397e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.517
y[1] (analytic) = 1.3996703626718418358442928023069
y[1] (numeric) = 1.3996703626718418358442928023077
absolute error = 8e-31
relative error = 5.7156314896378434903176589636770e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.518
y[1] (analytic) = 1.4002274036530498466024031903571
y[1] (numeric) = 1.4002274036530498466024031903579
absolute error = 8e-31
relative error = 5.7133576868505926812071962616196e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.519
y[1] (analytic) = 1.4007836758231266052418913657465
y[1] (numeric) = 1.4007836758231266052418913657473
absolute error = 8e-31
relative error = 5.7110888269732661194945750328242e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.52
y[1] (analytic) = 1.4013391796776499003878475719885
y[1] (numeric) = 1.4013391796776499003878475719893
absolute error = 8e-31
relative error = 5.7088248983663186200622170344727e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.521
y[1] (analytic) = 1.4018939157130658361464659190853
y[1] (numeric) = 1.4018939157130658361464659190861
absolute error = 8e-31
relative error = 5.7065658894245523724472265690659e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.3MB, time=2.71
x[1] = 0.522
y[1] (analytic) = 1.4024478844266883356589816478407
y[1] (numeric) = 1.4024478844266883356589816478415
absolute error = 8e-31
relative error = 5.7043117885769769515743238149203e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.523
y[1] (analytic) = 1.403001086316698643787789431451
y[1] (numeric) = 1.4030010863166986437877894314517
absolute error = 7e-31
relative error = 4.9893047612508362296933386851557e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.524
y[1] (analytic) = 1.403553521882144828935240028212
y[1] (numeric) = 1.4035535218821448289352400282127
absolute error = 7e-31
relative error = 4.9873409819193086137134057123311e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.525
y[1] (analytic) = 1.4041051916229412839956134665064
y[1] (numeric) = 1.4041051916229412839956134665071
absolute error = 7e-31
relative error = 4.9853814669747204629163945467338e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.526
y[1] (analytic) = 1.404656096039868226440767810055
y[1] (numeric) = 1.4046560960398682264407678100557
absolute error = 7e-31
relative error = 4.9834262064109673970702299556777e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.527
y[1] (analytic) = 1.4052062356345711975399634177419
y[1] (numeric) = 1.4052062356345711975399634177426
absolute error = 7e-31
relative error = 4.9814751902512724924015391339329e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.528
y[1] (analytic) = 1.4057556109095605607143634781479
y[1] (numeric) = 1.4057556109095605607143634781487
absolute error = 8e-31
relative error = 5.6908896097692195982591621711927e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.529
y[1] (analytic) = 1.4063042223682109990267124642498
y[1] (numeric) = 1.4063042223682109990267124642505
absolute error = 7e-31
relative error = 4.9775858513828725040413648133753e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.53
y[1] (analytic) = 1.4068520705147610118066950185642
y[1] (numeric) = 1.4068520705147610118066950185649
absolute error = 7e-31
relative error = 4.9756475088661813988322048244163e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.531
y[1] (analytic) = 1.4073991558543124104124786433371
y[1] (numeric) = 1.4073991558543124104124786433378
absolute error = 7e-31
relative error = 4.9737133711373408783969913137477e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.532
y[1] (analytic) = 1.407945478892829813128944434192
y[1] (numeric) = 1.4079454788928298131289444341927
absolute error = 7e-31
relative error = 4.9717834283644352389729388289861e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.533
y[1] (analytic) = 1.4084910401371401392031109589661
y[1] (numeric) = 1.4084910401371401392031109589668
absolute error = 7e-31
relative error = 4.9698576707441696094953474385498e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.534
y[1] (analytic) = 1.4090358400949321020172572462665
y[1] (numeric) = 1.4090358400949321020172572462672
absolute error = 7e-31
relative error = 4.9679360885017540678249444379916e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.535
y[1] (analytic) = 1.4095798792747557014002517105828
y[1] (numeric) = 1.4095798792747557014002517105835
absolute error = 7e-31
relative error = 4.9660186718907882883009711294232e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.536
y[1] (analytic) = 1.4101231581860217150775947025839
y[1] (numeric) = 1.4101231581860217150775947025846
absolute error = 7e-31
relative error = 4.9641054111931467177449775407077e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.537
y[1] (analytic) = 1.4106656773390011892606832345142
y[1] (numeric) = 1.4106656773390011892606832345149
absolute error = 7e-31
relative error = 4.9621962967188642770581472298944e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.538
y[1] (analytic) = 1.4112074372448249283758072913827
y[1] (numeric) = 1.4112074372448249283758072913833
absolute error = 6e-31
relative error = 4.2516782732623050733480368836790e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.539
y[1] (analytic) = 1.4117484384154829839333879989048
y[1] (numeric) = 1.4117484384154829839333879989054
absolute error = 6e-31
relative error = 4.2500489724176886045733803113968e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.54
y[1] (analytic) = 1.4122886813638241425379687789178
y[1] (numeric) = 1.4122886813638241425379687789184
absolute error = 6e-31
relative error = 4.2484232007056077735886558561011e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.541
y[1] (analytic) = 1.4128281666035554130394714822349
y[1] (numeric) = 1.4128281666035554130394714822355
absolute error = 6e-31
relative error = 4.2468009499159576484385110552478e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.542
y[1] (analytic) = 1.4133668946492415128262303476392
y[1] (numeric) = 1.4133668946492415128262303476397
absolute error = 5e-31
relative error = 3.5376518432185730575462816588282e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.543
y[1] (analytic) = 1.4139048660163043532603174939409
y[1] (numeric) = 1.4139048660163043532603174939415
absolute error = 6e-31
relative error = 4.2435669783817063296680432883354e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.544
y[1] (analytic) = 1.4144420812210225242556745097304
y[1] (numeric) = 1.414442081221022524255674509731
absolute error = 6e-31
relative error = 4.2419552413347862949932953652369e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.545
y[1] (analytic) = 1.4149785407805307779995655626503
y[1] (numeric) = 1.4149785407805307779995655626509
absolute error = 6e-31
relative error = 4.2403469926054699478859477682469e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.546
y[1] (analytic) = 1.4155142452128195118178683066931
y[1] (numeric) = 1.4155142452128195118178683066937
absolute error = 6e-31
relative error = 4.2387422241009753661257185600588e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.547
y[1] (analytic) = 1.4160491950367342501847197221881
y[1] (numeric) = 1.4160491950367342501847197221887
absolute error = 6e-31
relative error = 4.2371409277517027260426877465156e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.548
y[1] (analytic) = 1.4165833907719751258770348787904
y[1] (numeric) = 1.416583390771975125877034878791
absolute error = 6e-31
relative error = 4.2355430955111411306927584837471e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.549
y[1] (analytic) = 1.4171168329390963602744174669085
y[1] (numeric) = 1.4171168329390963602744174669091
absolute error = 6e-31
relative error = 4.2339487193557758603099139972822e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.55
y[1] (analytic) = 1.4176495220595057428049817976178
y[1] (numeric) = 1.4176495220595057428049817976184
absolute error = 6e-31
relative error = 4.2323577912849960427758915394444e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.551
y[1] (analytic) = 1.4181814586554641095376068251937
y[1] (numeric) = 1.4181814586554641095376068251943
absolute error = 6e-31
relative error = 4.2307703033210027418617880462564e-29 %
Correct digits = 30
h = 0.001
memory used=61.0MB, alloc=4.3MB, time=2.90
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.552
y[1] (analytic) = 1.4187126432500848209211435999679
y[1] (numeric) = 1.4187126432500848209211435999685
absolute error = 6e-31
relative error = 4.2291862475087174610099101656963e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.553
y[1] (analytic) = 1.4192430763673332386710984122557
y[1] (numeric) = 1.4192430763673332386710984122563
absolute error = 6e-31
relative error = 4.2276056159156910604378847441898e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.554
y[1] (analytic) = 1.4197727585320262018043147406284
y[1] (numeric) = 1.419772758532026201804314740629
absolute error = 6e-31
relative error = 4.2260284006320130853606554002290e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.555
y[1] (analytic) = 1.420301690269831501822177969805
y[1] (numeric) = 1.4203016902698315018221779698056
absolute error = 6e-31
relative error = 4.2244545937702215031395071995345e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.556
y[1] (analytic) = 1.4208298721072673570428676949146
y[1] (numeric) = 1.4208298721072673570428676949152
absolute error = 6e-31
relative error = 4.2228841874652128471806853856973e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.557
y[1] (analytic) = 1.4213573045717018860831832798337
y[1] (numeric) = 1.4213573045717018860831832798343
absolute error = 6e-31
relative error = 4.2213171738741527654195063183187e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.558
y[1] (analytic) = 1.4218839881913525804904691877283
y[1] (numeric) = 1.4218839881913525804904691877289
absolute error = 6e-31
relative error = 4.2197535451763869712390999259630e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.559
y[1] (analytic) = 1.4224099234952857765251674518325
y[1] (numeric) = 1.4224099234952857765251674518331
absolute error = 6e-31
relative error = 4.2181932935733525946860737865483e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.56
y[1] (analytic) = 1.4229351110134161260945255038663
y[1] (numeric) = 1.4229351110134161260945255038669
absolute error = 6e-31
relative error = 4.2166364112884899318584500901576e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.561
y[1] (analytic) = 1.423459551276506066837988426341
y[1] (numeric) = 1.4234595512765060668379884263416
absolute error = 6e-31
relative error = 4.2150828905671545903541988999195e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.562
y[1] (analytic) = 1.4239832448161652913648055433158
y[1] (numeric) = 1.4239832448161652913648055433163
absolute error = 5e-31
relative error = 3.5112772697304416905679791509840e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.563
y[1] (analytic) = 1.4245061921648502156443821119545
y[1] (numeric) = 1.424506192164850215644382111955
absolute error = 5e-31
relative error = 3.5099882524212837396210514063647e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.564
y[1] (analytic) = 1.4250283938558634465499077244872
y[1] (numeric) = 1.4250283938558634465499077244878
absolute error = 6e-31
relative error = 4.2104424205647643109350346397541e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.565
y[1] (analytic) = 1.4255498504233532485557938769029
y[1] (numeric) = 1.4255498504233532485557938769035
absolute error = 6e-31
relative error = 4.2089022689863476549562808645603e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.566
y[1] (analytic) = 1.4260705624023130095894540068917
y[1] (numeric) = 1.4260705624023130095894540068923
absolute error = 6e-31
relative error = 4.2073654405239185823542463400823e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.567
y[1] (analytic) = 1.4265905303285807060379601492125
y[1] (numeric) = 1.4265905303285807060379601492131
absolute error = 6e-31
relative error = 4.2058319275525015406963371501978e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.568
y[1] (analytic) = 1.427109754738838366910111201784
y[1] (numeric) = 1.4271097547388383669101112017846
absolute error = 6e-31
relative error = 4.2043017224684322221891673491272e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.569
y[1] (analytic) = 1.4276282361706115371544486403868
y[1] (numeric) = 1.4276282361706115371544486403875
absolute error = 7e-31
relative error = 4.9032372873041516036392192623347e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.57
y[1] (analytic) = 1.428145975162268740133756363916
y[1] (numeric) = 1.4281459751622687401337563639167
absolute error = 7e-31
relative error = 4.9014597399293488210722544977172e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.571
y[1] (analytic) = 1.428662972253020939256582195639
y[1] (numeric) = 1.4286629722530209392565821956397
absolute error = 7e-31
relative error = 4.8996860252918186780152051779779e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.572
y[1] (analytic) = 1.4291792279829209987663194088936
y[1] (numeric) = 1.4291792279829209987663194088943
absolute error = 7e-31
relative error = 4.8979161346190874778832312186259e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.573
y[1] (analytic) = 1.4296947428928631436883874880982
y[1] (numeric) = 1.4296947428928631436883874880989
absolute error = 7e-31
relative error = 4.8961500591630545887575144273856e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.574
y[1] (analytic) = 1.4302095175245824189360521778498
y[1] (numeric) = 1.4302095175245824189360521778505
absolute error = 7e-31
relative error = 4.8943877901998957358398417378782e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.575
y[1] (analytic) = 1.4307235524206541475754257142438
y[1] (numeric) = 1.4307235524206541475754257142445
absolute error = 7e-31
relative error = 4.8926293190299667230199574992784e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.576
y[1] (analytic) = 1.4312368481244933882501889733704
y[1] (numeric) = 1.4312368481244933882501889733711
absolute error = 7e-31
relative error = 4.8908746369777075813071382008053e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.577
y[1] (analytic) = 1.4317494051803543917665781122205
y[1] (numeric) = 1.4317494051803543917665781122212
absolute error = 7e-31
relative error = 4.8891237353915471418910190678148e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.578
y[1] (analytic) = 1.432261224133330056839179116969
y[1] (numeric) = 1.4322612241333300568391791169697
absolute error = 7e-31
relative error = 4.8873766056438080316101867565976e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.579
y[1] (analytic) = 1.4327723055293513849980745127954
y[1] (numeric) = 1.4327723055293513849980745127961
absolute error = 7e-31
relative error = 4.8856332391306120886204465819008e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.58
y[1] (analytic) = 1.43328264991518693465788732805
y[1] (numeric) = 1.4332826499151869346578873280507
absolute error = 7e-31
relative error = 4.8838936272717861960679770132282e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=64.8MB, alloc=4.4MB, time=3.07
TOP MAIN SOLVE Loop
x[1] = 0.581
y[1] (analytic) = 1.4337922578384422743492682436758
y[1] (numeric) = 1.4337922578384422743492682436765
absolute error = 7e-31
relative error = 4.8821577615107685315857992460748e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.582
y[1] (analytic) = 1.4343011298475594351133726963536
y[1] (numeric) = 1.4343011298475594351133726963543
absolute error = 7e-31
relative error = 4.8804256333145152304451161598318e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.583
y[1] (analytic) = 1.434809266491816362059875540848
y[1] (numeric) = 1.4348092664918163620598755408487
absolute error = 7e-31
relative error = 4.8786972341734074602061135770836e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.584
y[1] (analytic) = 1.4353166683213263650890717134926
y[1] (numeric) = 1.4353166683213263650890717134933
absolute error = 7e-31
relative error = 4.8769725556011589047257680959177e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.585
y[1] (analytic) = 1.4358233358870375687786121746697
y[1] (numeric) = 1.4358233358870375687786121746704
absolute error = 7e-31
relative error = 4.8752515891347236553930705287569e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.586
y[1] (analytic) = 1.4363292697407323614354252435016
y[1] (numeric) = 1.4363292697407323614354252435022
absolute error = 6e-31
relative error = 4.1773151368578895778355881090684e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.587
y[1] (analytic) = 1.4368344704350268433133742727858
y[1] (numeric) = 1.4368344704350268433133742727865
absolute error = 7e-31
relative error = 4.8718207587827616594680996099946e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.588
y[1] (analytic) = 1.4373389385233702739972034464729
y[1] (numeric) = 1.4373389385233702739972034464735
absolute error = 6e-31
relative error = 4.1743807526455901257433444346133e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.589
y[1] (analytic) = 1.4378426745600445189533243156914
y[1] (numeric) = 1.437842674560044518953324315692
absolute error = 6e-31
relative error = 4.1729182936067037203720569616831e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.59
y[1] (analytic) = 1.4383456791001634952479965224907
y[1] (numeric) = 1.4383456791001634952479965224913
absolute error = 6e-31
relative error = 4.1714589803986695803461480977070e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.591
y[1] (analytic) = 1.4388479526996726164334569930729
y[1] (numeric) = 1.4388479526996726164334569930735
absolute error = 6e-31
relative error = 4.1700028058853318132056199478691e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.592
y[1] (analytic) = 1.4393494959153482366025527143388
y[1] (numeric) = 1.4393494959153482366025527143394
absolute error = 6e-31
relative error = 4.1685497629499118456242686639707e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.593
y[1] (analytic) = 1.4398503093047970936124330390686
y[1] (numeric) = 1.4398503093047970936124330390692
absolute error = 6e-31
relative error = 4.1670998444949322010425203096747e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.594
y[1] (analytic) = 1.4403503934264557514778582959995
y[1] (numeric) = 1.4403503934264557514778582960002
absolute error = 7e-31
relative error = 4.8599285506824973788096830420733e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.595
y[1] (analytic) = 1.4408497488395900419346823114442
y[1] (numeric) = 1.4408497488395900419346823114449
absolute error = 7e-31
relative error = 4.8582442448545068633580214105832e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.596
y[1] (analytic) = 1.441348376104294505174067278921
y[1] (numeric) = 1.4413483761042945051740672789217
absolute error = 7e-31
relative error = 4.8565635595467497905660143488564e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.597
y[1] (analytic) = 1.4418462757814918297479902425356
y[1] (numeric) = 1.4418462757814918297479902425363
absolute error = 7e-31
relative error = 4.8548864865680260375837650781448e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.598
y[1] (analytic) = 1.4423434484329322916466012885597
y[1] (numeric) = 1.4423434484329322916466012885603
absolute error = 6e-31
relative error = 4.1598968723564696458046269362806e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.599
y[1] (analytic) = 1.4428398946211931925479943678021
y[1] (numeric) = 1.4428398946211931925479943678027
absolute error = 6e-31
relative error = 4.1584655528084459155868483461126e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.6
y[1] (analytic) = 1.4433356149096782972409524989554
y[1] (numeric) = 1.443335614909678297240952498956
absolute error = 6e-31
relative error = 4.1570373085926177247036014131523e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.601
y[1] (analytic) = 1.4438306098626172702212299301249
y[1] (numeric) = 1.4438306098626172702212299301256
absolute error = 7e-31
relative error = 4.8482141548904139767135965099355e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.602
y[1] (analytic) = 1.4443248800450651114619346622117
y[1] (numeric) = 1.4443248800450651114619346622124
absolute error = 7e-31
relative error = 4.8465550214585997145957695232871e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.603
y[1] (analytic) = 1.4448184260229015913585755637194
y[1] (numeric) = 1.4448184260229015913585755637201
absolute error = 7e-31
relative error = 4.8448994516692605445665071935411e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.604
y[1] (analytic) = 1.4453112483628306848493391318916
y[1] (numeric) = 1.4453112483628306848493391318923
absolute error = 7e-31
relative error = 4.8432474374839440918561880257679e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.605
y[1] (analytic) = 1.445803347632380004711161779855
y[1] (numeric) = 1.4458033476323800047111617798556
absolute error = 6e-31
relative error = 4.1499419750448673392579155307162e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.606
y[1] (analytic) = 1.4462947243999002340321643536487
y[1] (numeric) = 1.4462947243999002340321643536493
absolute error = 6e-31
relative error = 4.1485320376104760424125276544998e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.607
y[1] (analytic) = 1.4467853792345645578610164066595
y[1] (numeric) = 1.4467853792345645578610164066601
absolute error = 6e-31
relative error = 4.1471251272765533167072901969966e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.608
y[1] (analytic) = 1.4472753127063680940337985820488
y[1] (numeric) = 1.4472753127063680940337985820494
absolute error = 6e-31
relative error = 4.1457212372262139377010791673077e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.609
y[1] (analytic) = 1.4477645253861273231789322762638
y[1] (numeric) = 1.4477645253861273231789322762645
absolute error = 7e-31
relative error = 4.8350404207708147738084871961789e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.4MB, time=3.26
x[1] = 0.61
y[1] (analytic) = 1.4482530178454795179007465786548
y[1] (numeric) = 1.4482530178454795179007465786555
absolute error = 7e-31
relative error = 4.8334095725991856882435805165351e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.611
y[1] (analytic) = 1.4487407906568821711422533035835
y[1] (numeric) = 1.4487407906568821711422533035842
absolute error = 7e-31
relative error = 4.8317822243591887835065305260579e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.612
y[1] (analytic) = 1.4492278443936124237277017522008
y[1] (numeric) = 1.4492278443936124237277017522015
absolute error = 7e-31
relative error = 4.8301583681818837988813082073826e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.613
y[1] (analytic) = 1.4497141796297664910854856612912
y[1] (numeric) = 1.4497141796297664910854856612919
absolute error = 7e-31
relative error = 4.8285379962191489120064159619444e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.614
y[1] (analytic) = 1.4501997969402590891519756162284
y[1] (numeric) = 1.4501997969402590891519756162291
absolute error = 7e-31
relative error = 4.8269211006435995681938417867307e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.615
y[1] (analytic) = 1.4506846969008228594568510241632
y[1] (numeric) = 1.4506846969008228594568510241639
absolute error = 7e-31
relative error = 4.8253076736485076586655227368778e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.616
y[1] (analytic) = 1.4511688800880077933905065620621
y[1] (numeric) = 1.4511688800880077933905065620628
absolute error = 7e-31
relative error = 4.8236977074477210459369007414941e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.617
y[1] (analytic) = 1.4516523470791806556541088321442
y[1] (numeric) = 1.4516523470791806556541088321449
absolute error = 7e-31
relative error = 4.8220911942755834345875614897220e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.618
y[1] (analytic) = 1.4521350984525244068928797746095
y[1] (numeric) = 1.4521350984525244068928797746102
absolute error = 7e-31
relative error = 4.8204881263868545856692869154903e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.619
y[1] (analytic) = 1.4526171347870376255131842043293
y[1] (numeric) = 1.4526171347870376255131842043299
absolute error = 6e-31
relative error = 4.1304758537628264625818208083230e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.62
y[1] (analytic) = 1.4530984566625339286839996543607
y[1] (numeric) = 1.4530984566625339286839996543613
absolute error = 6e-31
relative error = 4.1291076819259424397422403723483e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.621
y[1] (analytic) = 1.4535790646596413925233475247695
y[1] (numeric) = 1.4535790646596413925233475247701
absolute error = 6e-31
relative error = 4.1277424433771083997072478774053e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.622
y[1] (analytic) = 1.4540589593598019714702653502798
y[1] (numeric) = 1.4540589593598019714702653502804
absolute error = 6e-31
relative error = 4.1263801315468668651376910398716e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.623
y[1] (analytic) = 1.4545381413452709168429008147311
y[1] (numeric) = 1.4545381413452709168429008147317
absolute error = 6e-31
relative error = 4.1250207398829222637377663339063e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.624
y[1] (analytic) = 1.4550166111991161945833089542001
y[1] (numeric) = 1.4550166111991161945833089542007
absolute error = 6e-31
relative error = 4.1236642618500742768779452259591e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.625
y[1] (analytic) = 1.4554943695052179021895348039411
y[1] (numeric) = 1.4554943695052179021895348039417
absolute error = 6e-31
relative error = 4.1223106909301514725095972500645e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.626
y[1] (analytic) = 1.455971416848267684835564557014
y[1] (numeric) = 1.4559714168482676848355645570146
absolute error = 6e-31
relative error = 4.1209600206219452209404515904003e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.627
y[1] (analytic) = 1.4564477538137681506797291146007
y[1] (numeric) = 1.4564477538137681506797291146012
absolute error = 5e-31
relative error = 3.4330102037009532433736640463796e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.628
y[1] (analytic) = 1.4569233809880322853621447195559
y[1] (numeric) = 1.4569233809880322853621447195564
absolute error = 5e-31
relative error = 3.4318894632668894437661855703158e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.629
y[1] (analytic) = 1.4573982989581828656917761757053
y[1] (numeric) = 1.4573982989581828656917761757058
absolute error = 5e-31
relative error = 3.4307711238405013514197975852787e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.63
y[1] (analytic) = 1.4578725083121518725237089657771
y[1] (numeric) = 1.4578725083121518725237089657775
absolute error = 4e-31
relative error = 2.7437241440480894031283003663946e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.631
y[1] (analytic) = 1.4583460096386799028272173906462
y[1] (numeric) = 1.4583460096386799028272173906466
absolute error = 4e-31
relative error = 2.7428333012623258008165343940642e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.632
y[1] (analytic) = 1.4588188035273155809452166617754
y[1] (numeric) = 1.4588188035273155809452166617758
absolute error = 4e-31
relative error = 2.7419443664479076593634072675087e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.633
y[1] (analytic) = 1.4592908905684149690456876873498
y[1] (numeric) = 1.4592908905684149690456876873503
absolute error = 5e-31
relative error = 3.4263216691857971336127412909948e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.634
y[1] (analytic) = 1.4597622713531409767656641006336
y[1] (numeric) = 1.459762271353140976765664100634
absolute error = 4e-31
relative error = 2.7401722037192814332385568545123e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.635
y[1] (analytic) = 1.4602329464734627700483718865097
y[1] (numeric) = 1.4602329464734627700483718865101
absolute error = 4e-31
relative error = 2.7392889673255246889677511864694e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.636
y[1] (analytic) = 1.4607029165221551791741127690167
y[1] (numeric) = 1.4607029165221551791741127690171
absolute error = 4e-31
relative error = 2.7384076219439314636872474107264e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.637
y[1] (analytic) = 1.4611721820927981059854833289476
y[1] (numeric) = 1.4611721820927981059854833289481
absolute error = 5e-31
relative error = 3.4219102042023773035378118705107e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.638
y[1] (analytic) = 1.4616407437797759303075226262437
y[1] (numeric) = 1.4616407437797759303075226262442
absolute error = 5e-31
relative error = 3.4208132342220376774734072077491e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.639
y[1] (analytic) = 1.4621086021782769155633819069852
y[1] (numeric) = 1.4621086021782769155633819069856
absolute error = 4e-31
relative error = 2.7357748898000632178557511066595e-29 %
Correct digits = 30
h = 0.001
memory used=72.4MB, alloc=4.4MB, time=3.45
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.64
y[1] (analytic) = 1.4625757578842926135861107792603
y[1] (numeric) = 1.4625757578842926135861107792608
absolute error = 5e-31
relative error = 3.4186263330610736938825939466059e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.641
y[1] (analytic) = 1.463042211494617268627155046077
y[1] (numeric) = 1.4630422114946172686271550460775
absolute error = 5e-31
relative error = 3.4175363914429311599886529990823e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.642
y[1] (analytic) = 1.4635079636068472205621621867689
y[1] (numeric) = 1.4635079636068472205621621867694
absolute error = 5e-31
relative error = 3.4164487821968465451601098414517e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.643
y[1] (analytic) = 1.4639730148193803072946912810412
y[1] (numeric) = 1.4639730148193803072946912810416
absolute error = 4e-31
relative error = 2.7322908001097995134134177181830e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.644
y[1] (analytic) = 1.4644373657314152663584249718963
y[1] (numeric) = 1.4644373657314152663584249718967
absolute error = 4e-31
relative error = 2.7314244320734021092647570757827e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.645
y[1] (analytic) = 1.4649010169429511357184818651779
y[1] (numeric) = 1.4649010169429511357184818651783
absolute error = 4e-31
relative error = 2.7305599175208814413344093661089e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.646
y[1] (analytic) = 1.4653639690547866537724285643704
y[1] (numeric) = 1.4653639690547866537724285643708
absolute error = 4e-31
relative error = 2.7296972523352995188410807552912e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.647
y[1] (analytic) = 1.4658262226685196585515913395922
y[1] (numeric) = 1.4658262226685196585515913395926
absolute error = 4e-31
relative error = 2.7288364324101436356771820102322e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.648
y[1] (analytic) = 1.4662877783865464861232682294208
y[1] (numeric) = 1.4662877783865464861232682294212
absolute error = 4e-31
relative error = 2.7279774536492862324522271096951e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.649
y[1] (analytic) = 1.466748636812061368194443173288
y[1] (numeric) = 1.4667486368120613681944431732883
absolute error = 3e-31
relative error = 2.0453402339752086949784281261964e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.65
y[1] (analytic) = 1.4672087985490558289176045706799
y[1] (numeric) = 1.4672087985490558289176045706802
absolute error = 3e-31
relative error = 2.0446987524657320324888997403283e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.651
y[1] (analytic) = 1.4676682642023180808992714612743
y[1] (numeric) = 1.4676682642023180808992714612746
absolute error = 3e-31
relative error = 2.0440586426596262342915488184499e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.652
y[1] (analytic) = 1.4681270343774324204118313174373
y[1] (numeric) = 1.4681270343774324204118313174376
absolute error = 3e-31
relative error = 2.0434199015156525485336449983312e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.653
y[1] (analytic) = 1.4685851096807786218092942371924
y[1] (numeric) = 1.4685851096807786218092942371927
absolute error = 3e-31
relative error = 2.0427825260002124448161394233378e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.654
y[1] (analytic) = 1.4690424907195313311475691218565
y[1] (numeric) = 1.4690424907195313311475691218568
absolute error = 3e-31
relative error = 2.0421465130873182579218081071422e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.655
y[1] (analytic) = 1.4694991781016594590098682180164
y[1] (numeric) = 1.4694991781016594590098682180167
absolute error = 3e-31
relative error = 2.0415118597585639539396288343555e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.656
y[1] (analytic) = 1.469955172435925572537847198391
y[1] (numeric) = 1.4699551724359255725378471983913
absolute error = 3e-31
relative error = 2.0408785630030960181843263130031e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.657
y[1] (analytic) = 1.4704104743318852866690887503875
y[1] (numeric) = 1.4704104743318852866690887503878
absolute error = 3e-31
relative error = 2.0402466198175844643134673773387e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.658
y[1] (analytic) = 1.4708650843998866545815384348186
y[1] (numeric) = 1.4708650843998866545815384348189
absolute error = 3e-31
relative error = 2.0396160272061939640479133268687e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.659
y[1] (analytic) = 1.4713190032510695573455023702928
y[1] (numeric) = 1.4713190032510695573455023702932
absolute error = 4e-31
relative error = 2.7186490429074067958731201784271e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.66
y[1] (analytic) = 1.4717722314973650927838170912302
y[1] (numeric) = 1.4717722314973650927838170912306
absolute error = 4e-31
relative error = 2.7178118423463142924745592127452e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.661
y[1] (analytic) = 1.4722247697514949635408027192822
y[1] (numeric) = 1.4722247697514949635408027192826
absolute error = 4e-31
relative error = 2.7169764306269499371021517899118e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.662
y[1] (analytic) = 1.4726766186269708643606113791516
y[1] (numeric) = 1.472676618626970864360611379152
absolute error = 4e-31
relative error = 2.7161428037944563866078406076989e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.663
y[1] (analytic) = 1.4731277787380938685755835804134
y[1] (numeric) = 1.4731277787380938685755835804139
absolute error = 5e-31
relative error = 3.3941386973797238642314893911531e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.664
y[1] (analytic) = 1.4735782506999538138052260769289
y[1] (numeric) = 1.4735782506999538138052260769294
absolute error = 5e-31
relative error = 3.3931011112745359376311626370672e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.665
y[1] (analytic) = 1.4740280351284286868664255048233
y[1] (numeric) = 1.4740280351284286868664255048237
absolute error = 4e-31
relative error = 2.7136525932164439198346331152313e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.666
y[1] (analytic) = 1.474477132640184007895512888763
y[1] (numeric) = 1.4744771326401840078955128887635
absolute error = 5e-31
relative error = 3.3910325832229422259822897592078e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.667
y[1] (analytic) = 1.4749255438526722136827948944167
y[1] (numeric) = 1.4749255438526722136827948944171
absolute error = 4e-31
relative error = 2.7120013051991410549360994734275e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.668
y[1] (analytic) = 1.4753732693841320402201684925159
y[1] (numeric) = 1.4753732693841320402201684925164
absolute error = 5e-31
relative error = 3.3889728814777563472224778319650e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=76.2MB, alloc=4.4MB, time=3.62
TOP MAIN SOLVE Loop
x[1] = 0.669
y[1] (analytic) = 1.4758203098535879044624364868518
y[1] (numeric) = 1.4758203098535879044624364868523
absolute error = 5e-31
relative error = 3.3879463283006562780636168410943e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.67
y[1] (analytic) = 1.4762666658808492853029421448381
y[1] (numeric) = 1.4762666658808492853029421448386
absolute error = 5e-31
relative error = 3.3869219671207790943954064159134e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.671
y[1] (analytic) = 1.4767123380865101037641419549564
y[1] (numeric) = 1.4767123380865101037641419549569
absolute error = 5e-31
relative error = 3.3858997931031612045511728821083e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.672
y[1] (analytic) = 1.4771573270919481024037363204577
y[1] (numeric) = 1.4771573270919481024037363204582
absolute error = 5e-31
relative error = 3.3848798014246770380703430205222e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.673
y[1] (analytic) = 1.4776016335193242239369787831393
y[1] (numeric) = 1.4776016335193242239369787831398
absolute error = 5e-31
relative error = 3.3838619872739938285849812536827e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.674
y[1] (analytic) = 1.4780452579915819890757851548342
y[1] (numeric) = 1.4780452579915819890757851548347
absolute error = 5e-31
relative error = 3.3828463458515265826145077494228e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.675
y[1] (analytic) = 1.478488201132446873585264717454
y[1] (numeric) = 1.4784882011324468735852647174545
absolute error = 5e-31
relative error = 3.3818328723693932333700093591811e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.676
y[1] (analytic) = 1.4789304635664256845582964350008
y[1] (numeric) = 1.4789304635664256845582964350013
absolute error = 5e-31
relative error = 3.3808215620513699786746523262501e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.677
y[1] (analytic) = 1.4793720459188059359087739029204
y[1] (numeric) = 1.4793720459188059359087739029209
absolute error = 5e-31
relative error = 3.3798124101328468021117709471648e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.678
y[1] (analytic) = 1.4798129488156552230841435414996
y[1] (numeric) = 1.4798129488156552230841435415001
absolute error = 5e-31
relative error = 3.3788054118607831765172400693248e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.679
y[1] (analytic) = 1.480253172883820596997861320718
y[1] (numeric) = 1.4802531728838205969978613207185
absolute error = 5e-31
relative error = 3.3778005624936639489377416797822e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.68
y[1] (analytic) = 1.4806927187509279371823940840443
y[1] (numeric) = 1.4806927187509279371823940840448
absolute error = 5e-31
relative error = 3.3767978573014554061815071022409e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.681
y[1] (analytic) = 1.4811315870453813241633923181245
y[1] (numeric) = 1.4811315870453813241633923181249
absolute error = 4e-31
relative error = 2.7006378332524492160744453506425e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.682
y[1] (analytic) = 1.481569778396362411055661994136
y[1] (numeric) = 1.4815697783963624110556619941365
absolute error = 5e-31
relative error = 3.3747988605787803716883685798634e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.683
y[1] (analytic) = 1.4820072934338297943815638847851
y[1] (numeric) = 1.4820072934338297943815638847855
absolute error = 4e-31
relative error = 2.6990420477162086026334298764706e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.684
y[1] (analytic) = 1.4824441327885183841124695384931
y[1] (numeric) = 1.4824441327885183841124695384936
absolute error = 5e-31
relative error = 3.3728083840804589478208322673591e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.685
y[1] (analytic) = 1.4828802970919387729339038692666
y[1] (numeric) = 1.482880297091938772933903869267
absolute error = 4e-31
relative error = 2.6974530633688765474959071859314e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.686
y[1] (analytic) = 1.4833157869763766047350050970526
y[1] (numeric) = 1.483315786976376604735005097053
absolute error = 4e-31
relative error = 2.6966611123000906153988138257975e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.687
y[1] (analytic) = 1.4837506030748919423229335490696
y[1] (numeric) = 1.48375060307489194232293354907
absolute error = 4e-31
relative error = 2.6958708503373063133080058695112e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.688
y[1] (analytic) = 1.4841847460213186343628616076503
y[1] (numeric) = 1.4841847460213186343628616076507
absolute error = 4e-31
relative error = 2.6950822737687296824082133267298e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.689
y[1] (analytic) = 1.4846182164502636815441778645549
y[1] (numeric) = 1.4846182164502636815441778645553
absolute error = 4e-31
relative error = 2.6942953788914419756337367551793e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.69
y[1] (analytic) = 1.4850510149971066019735393154978
y[1] (numeric) = 1.4850510149971066019735393154981
absolute error = 3e-31
relative error = 2.0201326215085244379569422492480e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.691
y[1] (analytic) = 1.4854831422979987957954062017814
y[1] (numeric) = 1.4854831422979987957954062017817
absolute error = 3e-31
relative error = 2.0195449645824240747255557599236e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.692
y[1] (analytic) = 1.4859145989898629090406948784514
y[1] (numeric) = 1.4859145989898629090406948784517
absolute error = 3e-31
relative error = 2.0189585606329091370426757239859e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.693
y[1] (analytic) = 1.4863453857103921967041848602655
y[1] (numeric) = 1.4863453857103921967041848602658
absolute error = 3e-31
relative error = 2.0183734069091641722939714281897e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.694
y[1] (analytic) = 1.4867755030980498850513169680168
y[1] (numeric) = 1.4867755030980498850513169680171
absolute error = 3e-31
relative error = 2.0177895006669046331481396072905e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.695
y[1] (analytic) = 1.4872049517920685331550202683599
y[1] (numeric) = 1.4872049517920685331550202683602
absolute error = 3e-31
relative error = 2.0172068391683520813061416989507e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.696
y[1] (analytic) = 1.4876337324324493936632062702603
y[1] (numeric) = 1.4876337324324493936632062702606
absolute error = 3e-31
relative error = 2.0166254196822094916120251226960e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.697
y[1] (analytic) = 1.4880618456599617727975696105186
y[1] (numeric) = 1.4880618456599617727975696105189
absolute error = 3e-31
relative error = 2.0160452394836366560492506754830e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.4MB, time=3.81
x[1] = 0.698
y[1] (analytic) = 1.4884892921161423895843352295162
y[1] (numeric) = 1.4884892921161423895843352295165
absolute error = 3e-31
relative error = 2.0154662958542256871491162009509e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.699
y[1] (analytic) = 1.488916072443294734317592806382
y[1] (numeric) = 1.4889160724432947343175928063823
absolute error = 3e-31
relative error = 2.0148885860819766203405183951101e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.7
y[1] (analytic) = 1.4893421872844884262558599901919
y[1] (numeric) = 1.4893421872844884262558599901922
absolute error = 3e-31
relative error = 2.0143121074612731147729300704779e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.701
y[1] (analytic) = 1.4897676372835585705525167305838
y[1] (numeric) = 1.4897676372835585705525167305842
absolute error = 4e-31
relative error = 2.6849824763904776695294527000664e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.702
y[1] (analytic) = 1.4901924230851051144207537773021
y[1] (numeric) = 1.4901924230851051144207537773024
absolute error = 3e-31
relative error = 2.0131628328838104330905019626968e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.703
y[1] (analytic) = 1.4906165453344922025336791836665
y[1] (numeric) = 1.4906165453344922025336791836668
absolute error = 3e-31
relative error = 2.0125900315475193706174402974931e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.704
y[1] (analytic) = 1.4910400046778475316602274138083
y[1] (numeric) = 1.4910400046778475316602274138086
absolute error = 3e-31
relative error = 2.0120184506036621802157042551127e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.705
y[1] (analytic) = 1.4914628017620617045375164177085
y[1] (numeric) = 1.4914628017620617045375164177088
absolute error = 3e-31
relative error = 2.0114480873781795661049525680406e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.706
y[1] (analytic) = 1.4918849372347875829802988016283
y[1] (numeric) = 1.4918849372347875829802988016286
absolute error = 3e-31
relative error = 2.0108789392032521032139633552916e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.707
y[1] (analytic) = 1.4923064117444396402281539844266
y[1] (numeric) = 1.4923064117444396402281539844269
absolute error = 3e-31
relative error = 2.0103110034172766144267025882324e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.708
y[1] (analytic) = 1.4927272259401933125310689925183
y[1] (numeric) = 1.4927272259401933125310689925186
absolute error = 3e-31
relative error = 2.0097442773648426426495899777328e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.709
y[1] (analytic) = 1.4931473804719843499740563078382
y[1] (numeric) = 1.4931473804719843499740563078385
absolute error = 3e-31
relative error = 2.0091787583967090172548457792276e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.71
y[1] (analytic) = 1.4935668759905081665414579441396
y[1] (numeric) = 1.4935668759905081665414579441398
absolute error = 2e-31
relative error = 1.3390762959131870096381873370331e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.711
y[1] (analytic) = 1.4939857131472191894215856872678
y[1] (numeric) = 1.493985713147219189421585687268
absolute error = 2e-31
relative error = 1.3387008874313897407895716440123e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.712
y[1] (analytic) = 1.4944038925943302075523481947161
y[1] (numeric) = 1.4944038925943302075523481947163
absolute error = 2e-31
relative error = 1.3383262783984988880011953445785e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.713
y[1] (analytic) = 1.4948214149848117194085164087805
y[1] (numeric) = 1.4948214149848117194085164087807
absolute error = 2e-31
relative error = 1.3379524670646501257729476763702e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.714
y[1] (analytic) = 1.4952382809723912800312794959955
y[1] (numeric) = 1.4952382809723912800312794959957
absolute error = 2e-31
relative error = 1.3375794516840148078829575406009e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.715
y[1] (analytic) = 1.4956544912115528473007442832391
y[1] (numeric) = 1.4956544912115528473007442832393
absolute error = 2e-31
relative error = 1.3372072305147847163810338784816e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.716
y[1] (analytic) = 1.4960700463575361274520319179542
y[1] (numeric) = 1.4960700463575361274520319179544
absolute error = 2e-31
relative error = 1.3368358018191568714679998654847e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.717
y[1] (analytic) = 1.4964849470663359198356262363344
y[1] (numeric) = 1.4964849470663359198356262363346
absolute error = 2e-31
relative error = 1.3364651638633184019771204745330e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.718
y[1] (analytic) = 1.4968991939947014609226290790717
y[1] (numeric) = 1.4968991939947014609226290790719
absolute error = 2e-31
relative error = 1.3360953149174314761753971639987e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.719
y[1] (analytic) = 1.4973127878001357675555785493558
y[1] (numeric) = 1.4973127878001357675555785493559
absolute error = 1e-31
relative error = 6.6786312662780914630203407067671e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.72
y[1] (analytic) = 1.497725729140894979445486962252
y[1] (numeric) = 1.4977257291408949794454869622521
absolute error = 1e-31
relative error = 6.6767898857797306533960395142235e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.721
y[1] (analytic) = 1.4981380186759877009157559883658
y[1] (numeric) = 1.498138018675987700915755988366
absolute error = 2e-31
relative error = 1.3349904849004124607748656176420e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.722
y[1] (analytic) = 1.498549657065174341893627247823
y[1] (numeric) = 1.4985496570651743418936272478232
absolute error = 2e-31
relative error = 1.3346237747749301135127184749671e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.723
y[1] (analytic) = 1.4989606449689664581498273630602
y[1] (numeric) = 1.4989606449689664581498273630604
absolute error = 2e-31
relative error = 1.3342578450693125079837434077921e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.724
y[1] (analytic) = 1.4993709830486260907870672307261
y[1] (numeric) = 1.4993709830486260907870672307262
absolute error = 1e-31
relative error = 6.6694634703862946931446435464456e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.725
y[1] (analytic) = 1.4997806719661651049780560241387
y[1] (numeric) = 1.4997806719661651049780560241388
absolute error = 1e-31
relative error = 6.6676416004816996025377801520342e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.726
y[1] (analytic) = 1.5001897123843445279536911882302
y[1] (numeric) = 1.5001897123843445279536911882303
absolute error = 1e-31
relative error = 6.6658236071399129634154157516504e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.727
y[1] (analytic) = 1.5005981049666738862420864387327
y[1] (numeric) = 1.5005981049666738862420864387328
absolute error = 1e-31
relative error = 6.6640094818872808972907440364801e-30 %
Correct digits = 31
h = 0.001
memory used=83.9MB, alloc=4.4MB, time=4.00
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.728
y[1] (analytic) = 1.5010058503774105421591005265237
y[1] (numeric) = 1.5010058503774105421591005265238
absolute error = 1e-31
relative error = 6.6621992162692875459585141298495e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.729
y[1] (analytic) = 1.5014129492815590295510302765453
y[1] (numeric) = 1.5014129492815590295510302765454
absolute error = 1e-31
relative error = 6.6603928018504829521636891978769e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.73
y[1] (analytic) = 1.5018194023448703887901321585503
y[1] (numeric) = 1.5018194023448703887901321585504
absolute error = 1e-31
relative error = 6.6585902302144112255328157000050e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.731
y[1] (analytic) = 1.5022252102338415010236373940972
y[1] (numeric) = 1.5022252102338415010236373940972
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.732
y[1] (analytic) = 1.5026303736157144216769263507235
y[1] (numeric) = 1.5026303736157144216769263507236
absolute error = 1e-31
relative error = 6.6549965817191841286072891124247e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.733
y[1] (analytic) = 1.5030348931584757132115287200688
y[1] (numeric) = 1.5030348931584757132115287200689
absolute error = 1e-31
relative error = 6.6532054881214447728241109887391e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.734
y[1] (analytic) = 1.5034387695308557771386167218896
y[1] (numeric) = 1.5034387695308557771386167218897
absolute error = 1e-31
relative error = 6.6514182038291286210222411547528e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.735
y[1] (analytic) = 1.5038420034023281852886593204188
y[1] (numeric) = 1.5038420034023281852886593204189
absolute error = 1e-31
relative error = 6.6496347205196824988940376364692e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.736
y[1] (analytic) = 1.5042445954431090103379061833593
y[1] (numeric) = 1.5042445954431090103379061833593
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.737
y[1] (analytic) = 1.5046465463241561555923708569716
y[1] (numeric) = 1.5046465463241561555923708569716
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.738
y[1] (analytic) = 1.5050478567171686840299833732174
y[1] (numeric) = 1.5050478567171686840299833732174
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.739
y[1] (analytic) = 1.5054485272945861466015832467493
y[1] (numeric) = 1.5054485272945861466015832467493
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.74
y[1] (analytic) = 1.5058485587295879097914245606988
y[1] (numeric) = 1.5058485587295879097914245606988
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.741
y[1] (analytic) = 1.5062479516960924824378655807009
y[1] (numeric) = 1.5062479516960924824378655807008
absolute error = 1e-31
relative error = 6.6390131775712090819546316369549e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.742
y[1] (analytic) = 1.5066467068687568418149160764094
y[1] (numeric) = 1.5066467068687568418149160764093
absolute error = 1e-31
relative error = 6.6372560696613890706001311344855e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.743
y[1] (analytic) = 1.5070448249229757589753162689006
y[1] (numeric) = 1.5070448249229757589753162689005
absolute error = 1e-31
relative error = 6.6355026968166620784086800318103e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.744
y[1] (analytic) = 1.5074423065348811233558220608284
y[1] (numeric) = 1.5074423065348811233558220608282
absolute error = 2e-31
relative error = 1.3267506101758206481012313369285e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.745
y[1] (analytic) = 1.5078391523813412666453719439904
y[1] (numeric) = 1.5078391523813412666453719439903
absolute error = 1e-31
relative error = 6.6320071237087376034945802077405e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.746
y[1] (analytic) = 1.5082353631399602859168117160826
y[1] (numeric) = 1.5082353631399602859168117160825
absolute error = 1e-31
relative error = 6.6302649071834726818339413704118e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.747
y[1] (analytic) = 1.508630939489077366022853874859
y[1] (numeric) = 1.5086309394890773660228538748589
absolute error = 1e-31
relative error = 6.6285263931990312781204667817405e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.748
y[1] (analytic) = 1.5090258821077661012569492936833
y[1] (numeric) = 1.5090258821077661012569492936831
absolute error = 2e-31
relative error = 1.3253583147337769132131161990309e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.749
y[1] (analytic) = 1.5094201916758338162797495175416
y[1] (numeric) = 1.5094201916758338162797495175414
absolute error = 2e-31
relative error = 1.3250120881048370869972735451849e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.75
y[1] (analytic) = 1.5098138688738208863118387530001
y[1] (numeric) = 1.5098138688738208863118387529999
absolute error = 2e-31
relative error = 1.3246665971427404189249658679603e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.751
y[1] (analytic) = 1.5102069143830000565934153593164
y[1] (numeric) = 1.5102069143830000565934153593163
absolute error = 1e-31
relative error = 6.6216092012037519391197033921949e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.752
y[1] (analytic) = 1.5105993288853757611116033809685
y[1] (numeric) = 1.5105993288853757611116033809683
absolute error = 2e-31
relative error = 1.3239778157956271337922033057970e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.753
y[1] (analytic) = 1.510991113063683440596075394231
y[1] (numeric) = 1.5109911130636834405960753942308
absolute error = 2e-31
relative error = 1.3236345222076143339527879508964e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.754
y[1] (analytic) = 1.5113822676013888597836686721214
y[1] (numeric) = 1.5113822676013888597836686721212
absolute error = 2e-31
relative error = 1.3232919578804261293409710358741e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.755
y[1] (analytic) = 1.5117727931826874239526774030409
y[1] (numeric) = 1.5117727931826874239526774030407
absolute error = 2e-31
relative error = 1.3229501212212341026937706260609e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.756
y[1] (analytic) = 1.5121626904925034947275044287623
y[1] (numeric) = 1.5121626904925034947275044287621
absolute error = 2e-31
relative error = 1.3226090106406543069128300359251e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.4MB, time=4.18
x[1] = 0.757
y[1] (analytic) = 1.5125519602164897051543566970552
y[1] (numeric) = 1.512551960216489705154356697055
absolute error = 2e-31
relative error = 1.3222686245527343439730306966937e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.758
y[1] (analytic) = 1.5129406030410262740486693531968
y[1] (numeric) = 1.5129406030410262740486693531966
absolute error = 2e-31
relative error = 1.3219289613749404940504190084422e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.759
y[1] (analytic) = 1.513328619653220319614944122886
y[1] (numeric) = 1.5133286196532203196149441228859
absolute error = 1e-31
relative error = 6.6079500976407244732213213601712e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.76
y[1] (analytic) = 1.513716010740905172339688366667
y[1] (numeric) = 1.5137160107409051723396883666669
absolute error = 1e-31
relative error = 6.6062589871830638473464497211464e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.761
y[1] (analytic) = 1.5141027769926396871581419128634
y[1] (numeric) = 1.5141027769926396871581419128633
absolute error = 1e-31
relative error = 6.6045714676399485344766921505897e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.762
y[1] (analytic) = 1.5144889190977075548954795022417
y[1] (numeric) = 1.5144889190977075548954795022416
absolute error = 1e-31
relative error = 6.6028875311664449385647023399650e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.763
y[1] (analytic) = 1.5148744377461166129831774031417
y[1] (numeric) = 1.5148744377461166129831774031417
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.764
y[1] (analytic) = 1.515259333628598155451233480652
y[1] (numeric) = 1.515259333628598155451233480652
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.765
y[1] (analytic) = 1.5156436074366062421969307275509
y[1] (numeric) = 1.5156436074366062421969307275508
absolute error = 1e-31
relative error = 6.5978571419655217050602135832715e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.766
y[1] (analytic) = 1.5160272598623170075308349881932
y[1] (numeric) = 1.5160272598623170075308349881931
absolute error = 1e-31
relative error = 6.5961874596556943364811102759942e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.767
y[1] (analytic) = 1.5164102915986279680007183292872
y[1] (numeric) = 1.5164102915986279680007183292872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.768
y[1] (analytic) = 1.5167927033391573294941002335805
y[1] (numeric) = 1.5167927033391573294941002335804
absolute error = 1e-31
relative error = 6.5928587195767803235116474197278e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.769
y[1] (analytic) = 1.5171744957782432936200995138551
y[1] (numeric) = 1.5171744957782432936200995138551
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.77
y[1] (analytic) = 1.5175556696109433633712905653243
y[1] (numeric) = 1.5175556696109433633712905653243
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.771
y[1] (analytic) = 1.5179362255330336480662582945144
y[1] (numeric) = 1.5179362255330336480662582945144
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.772
y[1] (analytic) = 1.5183161642410081675735467820204
y[1] (numeric) = 1.5183161642410081675735467820204
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.773
y[1] (analytic) = 1.5186954864320781558176974551284
y[1] (numeric) = 1.5186954864320781558176974551284
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.774
y[1] (analytic) = 1.5190741928041713635680732642085
y[1] (numeric) = 1.5190741928041713635680732642085
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.775
y[1] (analytic) = 1.5194522840559313605111660739955
y[1] (numeric) = 1.5194522840559313605111660739955
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.776
y[1] (analytic) = 1.5198297608867168366070851973929
y[1] (numeric) = 1.5198297608867168366070851973929
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.777
y[1] (analytic) = 1.5202066239966009027309257152522
y[1] (numeric) = 1.5202066239966009027309257152522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.778
y[1] (analytic) = 1.5205828740863703905997159407019
y[1] (numeric) = 1.5205828740863703905997159407019
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.779
y[1] (analytic) = 1.52095851185752515198564410102
y[1] (numeric) = 1.52095851185752515198564410102
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.78
y[1] (analytic) = 1.5213335380122773572162650237646
y[1] (numeric) = 1.5213335380122773572162650237646
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.781
y[1] (analytic) = 1.521707953253550792962388326898
y[1] (numeric) = 1.521707953253550792962388326898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.782
y[1] (analytic) = 1.5220817582849801593143503249576
y[1] (numeric) = 1.5220817582849801593143503249576
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.783
y[1] (analytic) = 1.5224549538109103661473725749424
y[1] (numeric) = 1.5224549538109103661473725749423
absolute error = 1e-31
relative error = 6.5683388365407130368347674914518e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.784
y[1] (analytic) = 1.5228275405363958287767106964985
y[1] (numeric) = 1.5228275405363958287767106964984
absolute error = 1e-31
relative error = 6.5667317761258983184600058701803e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.785
y[1] (analytic) = 1.5231995191671997629032978111966
y[1] (numeric) = 1.5231995191671997629032978111965
absolute error = 1e-31
relative error = 6.5651281228525073703291316119302e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.786
y[1] (analytic) = 1.523570890409793478850587655198
y[1] (numeric) = 1.5235708904097934788505876551978
absolute error = 2e-31
relative error = 1.3127055738522687422733062180551e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.4MB, time=4.36
x[1] = 0.787
y[1] (analytic) = 1.5239416549713556750933031284076
y[1] (numeric) = 1.5239416549713556750933031284075
absolute error = 1e-31
relative error = 6.5619310079085423278923766706040e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.788
y[1] (analytic) = 1.5243118135597717310787967513083
y[1] (numeric) = 1.5243118135597717310787967513082
absolute error = 1e-31
relative error = 6.5603375313655123550540423912283e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.789
y[1] (analytic) = 1.5246813668836329993417302080539
y[1] (numeric) = 1.5246813668836329993417302080537
absolute error = 2e-31
relative error = 1.3117494864437759954290094913889e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.79
y[1] (analytic) = 1.525050315652236096912780861085
y[1] (numeric) = 1.5250503156522360969127808610848
absolute error = 2e-31
relative error = 1.3114321406140863091719666603487e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.791
y[1] (analytic) = 1.5254186605755821960220838285014
y[1] (numeric) = 1.5254186605755821960220838285012
absolute error = 2e-31
relative error = 1.3111154673074113831075591404592e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.792
y[1] (analytic) = 1.5257864023643763140981189206891
y[1] (numeric) = 1.5257864023643763140981189206889
absolute error = 2e-31
relative error = 1.3107994650501385988910159676442e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.793
y[1] (analytic) = 1.5261535417300266030627524372568
y[1] (numeric) = 1.5261535417300266030627524372566
absolute error = 2e-31
relative error = 1.3104841323716535022455406975136e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.794
y[1] (analytic) = 1.5265200793846436379231445291801
y[1] (numeric) = 1.5265200793846436379231445291799
absolute error = 2e-31
relative error = 1.3101694678043285990789203807157e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.795
y[1] (analytic) = 1.5268860160410397046612335341874
y[1] (numeric) = 1.5268860160410397046612335341872
absolute error = 2e-31
relative error = 1.3098554698835121942508375055036e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.796
y[1] (analytic) = 1.5272513524127280874215093958435
y[1] (numeric) = 1.5272513524127280874215093958432
absolute error = 3e-31
relative error = 1.9643132057212759092098966209994e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.797
y[1] (analytic) = 1.5276160892139223549977889784976
y[1] (numeric) = 1.5276160892139223549977889784973
absolute error = 3e-31
relative error = 1.9638442022064156352409623468943e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.798
y[1] (analytic) = 1.5279802271595356466197067912625
y[1] (numeric) = 1.5279802271595356466197067912622
absolute error = 3e-31
relative error = 1.9633761920970012065712858585318e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.799
y[1] (analytic) = 1.5283437669651799570396353344726
y[1] (numeric) = 1.5283437669651799570396353344723
absolute error = 3e-31
relative error = 1.9629091732137437255885353724195e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.8
y[1] (analytic) = 1.5287067093471654209207499816423
y[1] (numeric) = 1.528706709347165420920749981642
absolute error = 3e-31
relative error = 1.9624431433817352338805233692202e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.801
y[1] (analytic) = 1.5290690550224995965269540088002
y[1] (numeric) = 1.5290690550224995965269540087999
absolute error = 3e-31
relative error = 1.9619781004304323484890586716201e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.802
y[1] (analytic) = 1.5294308047088867487153800812132
y[1] (numeric) = 1.5294308047088867487153800812129
absolute error = 3e-31
relative error = 1.9615140421936399602356823640256e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.803
y[1] (analytic) = 1.5297919591247271312321852049411
y[1] (numeric) = 1.5297919591247271312321852049408
absolute error = 3e-31
relative error = 1.9610509665094949938530606334550e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.804
y[1] (analytic) = 1.5301525189891162683123568473649
y[1] (numeric) = 1.5301525189891162683123568473646
absolute error = 3e-31
relative error = 1.9605888712204502296572323156930e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.805
y[1] (analytic) = 1.5305124850218442355842486268248
y[1] (numeric) = 1.5305124850218442355842486268245
absolute error = 3e-31
relative error = 1.9601277541732581864973255469272e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.806
y[1] (analytic) = 1.5308718579433949402795646667706
y[1] (numeric) = 1.5308718579433949402795646667703
absolute error = 3e-31
relative error = 1.9596676132189550657207665002107e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.807
y[1] (analytic) = 1.5312306384749454007495124043812
y[1] (numeric) = 1.5312306384749454007495124043809
absolute error = 3e-31
relative error = 1.9592084462128447558934037793654e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.808
y[1] (analytic) = 1.5315888273383650252878443374403
y[1] (numeric) = 1.53158882733836502528784433744
absolute error = 3e-31
relative error = 1.9587502510144828980153647011664e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.809
y[1] (analytic) = 1.5319464252562148902615098863654
y[1] (numeric) = 1.5319464252562148902615098863652
absolute error = 2e-31
relative error = 1.3055286836584406739832296468420e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.81
y[1] (analytic) = 1.5323034329517470175496392406801
y[1] (numeric) = 1.5323034329517470175496392406799
absolute error = 2e-31
relative error = 1.3052245116669271179889374602588e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.811
y[1] (analytic) = 1.532659851148903651291581750883
y[1] (numeric) = 1.5326598511489036512915817508828
absolute error = 2e-31
relative error = 1.3049209832832585244918258731478e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.812
y[1] (analytic) = 1.5330156805723165339447221176171
y[1] (numeric) = 1.533015680572316533944722117617
absolute error = 1e-31
relative error = 6.5230904854585228135139383905310e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.813
y[1] (analytic) = 1.5333709219473061816527983202618
y[1] (numeric) = 1.5333709219473061816527983202616
absolute error = 2e-31
relative error = 1.3043158516793168864824512258443e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.814
y[1] (analytic) = 1.5337255759998811589254459165686
y[1] (numeric) = 1.5337255759998811589254459165684
absolute error = 2e-31
relative error = 1.3040142456359187495574405189974e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.815
y[1] (analytic) = 1.5340796434567373526296940337378
y[1] (numeric) = 1.5340796434567373526296940337377
absolute error = 1e-31
relative error = 6.5185663877704732994157895090035e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.816
y[1] (analytic) = 1.534433125045257245294139059378
y[1] (numeric) = 1.5344331250452572452941390593779
absolute error = 1e-31
relative error = 6.5170647301459003649377061068124e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=95.3MB, alloc=4.4MB, time=4.54
TOP MAIN SOLVE Loop
x[1] = 0.817
y[1] (analytic) = 1.534786021493509187726522728114
y[1] (numeric) = 1.5347860214935091877265227281139
absolute error = 1e-31
relative error = 6.5155662482962556206556482492137e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.818
y[1] (analytic) = 1.535138333530246670945441986206
y[1] (numeric) = 1.5351383335302466709454419862059
absolute error = 1e-31
relative error = 6.5140709352255719955982485307416e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.819
y[1] (analytic) = 1.5354900618849075974269187024083
y[1] (numeric) = 1.5354900618849075974269187024082
absolute error = 1e-31
relative error = 6.5125787839514837180310271605960e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.82
y[1] (analytic) = 1.5358412072876135516665579784369
y[1] (numeric) = 1.5358412072876135516665579784369
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.821
y[1] (analytic) = 1.5361917704691690700580244968283
y[1] (numeric) = 1.5361917704691690700580244968283
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.822
y[1] (analytic) = 1.5365417521610609100885670276502
y[1] (numeric) = 1.5365417521610609100885670276502
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.823
y[1] (analytic) = 1.5368911530954573188523218984808
y[1] (numeric) = 1.5368911530954573188523218984809
absolute error = 1e-31
relative error = 6.5066416576469767944771247141215e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.824
y[1] (analytic) = 1.5372399740052073008821269142913
y[1] (numeric) = 1.5372399740052073008821269142914
absolute error = 1e-31
relative error = 6.5051652110928814862173852913484e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.825
y[1] (analytic) = 1.5375882156238398853005778953559
y[1] (numeric) = 1.5375882156238398853005778953559
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.826
y[1] (analytic) = 1.5379358786855633922910606820732
y[1] (numeric) = 1.5379358786855633922910606820732
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.827
y[1] (analytic) = 1.5382829639252646988894921356054
y[1] (numeric) = 1.5382829639252646988894921356054
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.828
y[1] (analytic) = 1.5386294720785085040975043425319
y[1] (numeric) = 1.5386294720785085040975043425319
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.829
y[1] (analytic) = 1.5389754038815365933178069102739
y[1] (numeric) = 1.5389754038815365933178069102739
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.83
y[1] (analytic) = 1.5393207600712671021124629178644
y[1] (numeric) = 1.5393207600712671021124629178645
absolute error = 1e-31
relative error = 6.4963718150186075620123143360524e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.831
y[1] (analytic) = 1.5396655413852937792848147637283
y[1] (numeric) = 1.5396655413852937792848147637284
absolute error = 1e-31
relative error = 6.4949170655612853374033220288794e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.832
y[1] (analytic) = 1.5400097485618852492857968284831
y[1] (numeric) = 1.5400097485618852492857968284832
absolute error = 1e-31
relative error = 6.4934653883446831153053546879736e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.833
y[1] (analytic) = 1.5403533823399842739453725463881
y[1] (numeric) = 1.5403533823399842739453725463882
absolute error = 1e-31
relative error = 6.4920167765716090658579302733289e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.834
y[1] (analytic) = 1.5406964434592070135298341539424
y[1] (numeric) = 1.5406964434592070135298341539426
absolute error = 2e-31
relative error = 1.2981142446915461818033539193066e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.835
y[1] (analytic) = 1.5410389326598422871257040582708
y[1] (numeric) = 1.541038932659842287125704058271
absolute error = 2e-31
relative error = 1.2978257444463055865832792665895e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.836
y[1] (analytic) = 1.5413808506828508323509774413339
y[1] (numeric) = 1.541380850682850832350977441334
absolute error = 1e-31
relative error = 6.4876892661342431914771291171889e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.837
y[1] (analytic) = 1.5417221982698645643944463886591
y[1] (numeric) = 1.5417221982698645643944463886592
absolute error = 1e-31
relative error = 6.4862528484198358805163573892862e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.838
y[1] (analytic) = 1.5420629761631858343838465032063
y[1] (numeric) = 1.5420629761631858343838465032064
absolute error = 1e-31
relative error = 6.4848194623549338916279144453895e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.839
y[1] (analytic) = 1.5424031851057866870835676361593
y[1] (numeric) = 1.5424031851057866870835676361594
absolute error = 1e-31
relative error = 6.4833891012187865430972611794469e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.84
y[1] (analytic) = 1.5427428258413081179226710368709
y[1] (numeric) = 1.542742825841308117922671036871
absolute error = 1e-31
relative error = 6.4819617583032174871240724158772e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.841
y[1] (analytic) = 1.5430818991140593293539558938825
y[1] (numeric) = 1.5430818991140593293539558938827
absolute error = 2e-31
relative error = 1.2961074853825155585255349324178e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.842
y[1] (analytic) = 1.5434204056690169865448189078902
y[1] (numeric) = 1.5434204056690169865448189078904
absolute error = 2e-31
relative error = 1.2958232200727398405829239373781e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.843
y[1] (analytic) = 1.543758346251824472400651205734
y[1] (numeric) = 1.5437583462518244724006512057342
absolute error = 2e-31
relative error = 1.2955395543971695134982985377321e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.844
y[1] (analytic) = 1.5440957216087911419215175719538
y[1] (numeric) = 1.544095721608791141921517571954
absolute error = 2e-31
relative error = 1.2952564870241352894619694173806e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.845
y[1] (analytic) = 1.5444325324868915758928636411686
y[1] (numeric) = 1.5444325324868915758928636411688
absolute error = 2e-31
relative error = 1.2949740166244361785467860565879e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.4MB, time=4.72
x[1] = 0.846
y[1] (analytic) = 1.5447687796337648339109973605104
y[1] (numeric) = 1.5447687796337648339109973605106
absolute error = 2e-31
relative error = 1.2946921418713302787051232438912e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.847
y[1] (analytic) = 1.5451044637977137067440916965694
y[1] (numeric) = 1.5451044637977137067440916965696
absolute error = 2e-31
relative error = 1.2944108614405256000289382706067e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.848
y[1] (analytic) = 1.5454395857277039680294562257845
y[1] (numeric) = 1.5454395857277039680294562257847
absolute error = 2e-31
relative error = 1.2941301740101709231332701732740e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.849
y[1] (analytic) = 1.5457741461733636253078259109465
y[1] (numeric) = 1.5457741461733636253078259109467
absolute error = 2e-31
relative error = 1.2938500782608466915242903428786e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.85
y[1] (analytic) = 1.5461081458849821703954160294615
y[1] (numeric) = 1.5461081458849821703954160294617
absolute error = 2e-31
relative error = 1.2935705728755559378137477093768e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.851
y[1] (analytic) = 1.5464415856135098290944928812576
y[1] (numeric) = 1.5464415856135098290944928812579
absolute error = 3e-31
relative error = 1.9399374848095728654635723413679e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.852
y[1] (analytic) = 1.5467744661105568102432105657027
y[1] (numeric) = 1.546774466110556810243210565703
absolute error = 3e-31
relative error = 1.9395199919117185997634013409993e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.853
y[1] (analytic) = 1.5471067881283925541054647776315
y[1] (numeric) = 1.5471067881283925541054647776318
absolute error = 3e-31
relative error = 1.9391033786550961500531765578064e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.854
y[1] (analytic) = 1.5474385524199449801015152325684
y[1] (numeric) = 1.5474385524199449801015152325687
absolute error = 3e-31
relative error = 1.9386876430786105013004092763736e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.855
y[1] (analytic) = 1.5477697597387997338801289904588
y[1] (numeric) = 1.547769759738799733880128990459
absolute error = 2e-31
relative error = 1.2921818554831554820708403774240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.856
y[1] (analytic) = 1.5481004108391994337329976057035
y[1] (numeric) = 1.5481004108391994337329976057037
absolute error = 2e-31
relative error = 1.2919058647596594395691395827337e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.857
y[1] (analytic) = 1.5484305064760429163521816890169
y[1] (numeric) = 1.5484305064760429163521816890171
absolute error = 2e-31
relative error = 1.2916304552482954448033235384419e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.858
y[1] (analytic) = 1.5487600474048844819313371236005
y[1] (numeric) = 1.5487600474048844819313371236008
absolute error = 3e-31
relative error = 1.9370334384766869052496225975150e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.859
y[1] (analytic) = 1.5490890343819331386114778343436
y[1] (numeric) = 1.5490890343819331386114778343438
absolute error = 2e-31
relative error = 1.2910813746725504470703595738842e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.86
y[1] (analytic) = 1.5494174681640518462720306642239
y[1] (numeric) = 1.5494174681640518462720306642241
absolute error = 2e-31
relative error = 1.2908077010193101898510587886406e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.861
y[1] (analytic) = 1.5497453495087567596679385667926
y[1] (numeric) = 1.5497453495087567596679385667928
absolute error = 2e-31
relative error = 1.2905346034004660187140401579859e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.862
y[1] (analytic) = 1.5500726791742164709135689775753
y[1] (numeric) = 1.5500726791742164709135689775755
absolute error = 2e-31
relative error = 1.2902620805273964149244371325311e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.863
y[1] (analytic) = 1.5503994579192512513141848804184
y[1] (numeric) = 1.5503994579192512513141848804186
absolute error = 2e-31
relative error = 1.2899901311137875081123054177738e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.864
y[1] (analytic) = 1.5507256865033322925457367372467
y[1] (numeric) = 1.5507256865033322925457367372469
absolute error = 2e-31
relative error = 1.2897187538756244622316465271910e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.865
y[1] (analytic) = 1.5510513656865809471837341013768
y[1] (numeric) = 1.551051365686580947183734101377
absolute error = 2e-31
relative error = 1.2894479475311828933788524644520e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.866
y[1] (analytic) = 1.5513764962297679685819563854515
y[1] (numeric) = 1.5513764962297679685819563854517
absolute error = 2e-31
relative error = 1.2891777108010203193436241850317e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.867
y[1] (analytic) = 1.5517010788943127501017629052209
y[1] (numeric) = 1.5517010788943127501017629052211
absolute error = 2e-31
relative error = 1.2889080424079676407660849806521e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.868
y[1] (analytic) = 1.5520251144422825636927629697972
y[1] (numeric) = 1.5520251144422825636927629697975
absolute error = 3e-31
relative error = 1.9329584116156809806617121758490e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.869
y[1] (analytic) = 1.5523486036363917978256074376496
y[1] (numeric) = 1.5523486036363917978256074376498
absolute error = 2e-31
relative error = 1.2883704055358315939784726271053e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.87
y[1] (analytic) = 1.5526715472400011947776638054828
y[1] (numeric) = 1.5526715472400011947776638054831
absolute error = 3e-31
relative error = 1.9321536517705510675407781966258e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.871
y[1] (analytic) = 1.5529939460171170872723375442638
y[1] (numeric) = 1.552993946017117087272337544264
absolute error = 2e-31
relative error = 1.2878350267425678782748289673141e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.872
y[1] (analytic) = 1.5533158007323906344728030430074
y[1] (numeric) = 1.5533158007323906344728030430077
absolute error = 3e-31
relative error = 1.9313522714347563351466646299566e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.873
y[1] (analytic) = 1.5536371121511170573309081665308
y[1] (numeric) = 1.5536371121511170573309081665311
absolute error = 3e-31
relative error = 1.9309528438377057051109482398871e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.874
y[1] (analytic) = 1.5539578810392348732920170782044
y[1] (numeric) = 1.5539578810392348732920170782047
absolute error = 3e-31
relative error = 1.9305542554304629498544442292033e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.875
y[1] (analytic) = 1.554278108163325130356556622796
y[1] (numeric) = 1.5542781081633251303565566227963
absolute error = 3e-31
relative error = 1.9301565043241006244184394178794e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=103.0MB, alloc=4.4MB, time=4.91
TOP MAIN SOLVE Loop
x[1] = 0.876
y[1] (analytic) = 1.5545977942906106404990322077955
y[1] (numeric) = 1.5545977942906106404990322077957
absolute error = 2e-31
relative error = 1.2865063924219923042629414287138e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.877
y[1] (analytic) = 1.5549169401889552124452797641414
y[1] (numeric) = 1.5549169401889552124452797641417
absolute error = 3e-31
relative error = 1.9293635064747810315513623836547e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.878
y[1] (analytic) = 1.5552355466268628838087210090344
y[1] (numeric) = 1.5552355466268628838087210090346
absolute error = 2e-31
relative error = 1.2859788373136036832356507347334e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.879
y[1] (analytic) = 1.5555536143734771525863898745154
y[1] (numeric) = 1.5555536143734771525863898745156
absolute error = 2e-31
relative error = 1.2857158901626996511268812739043e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.88
y[1] (analytic) = 1.5558711441985802080154986057221
y[1] (numeric) = 1.5558711441985802080154986057223
absolute error = 2e-31
relative error = 1.2854534949487657427618083085721e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.881
y[1] (analytic) = 1.5561881368725921607913126721897
y[1] (numeric) = 1.5561881368725921607913126721899
absolute error = 2e-31
relative error = 1.2851916504255831447388614748433e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.882
y[1] (analytic) = 1.5565045931665702726471042742594
y[1] (numeric) = 1.5565045931665702726471042742596
absolute error = 2e-31
relative error = 1.2849303553490823527412249483041e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.883
y[1] (analytic) = 1.5568205138522081852969548645758
y[1] (numeric) = 1.556820513852208185296954864576
absolute error = 2e-31
relative error = 1.2846696084773351417507823624121e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.884
y[1] (analytic) = 1.5571358997018351487421777418069
y[1] (numeric) = 1.5571358997018351487421777418071
absolute error = 2e-31
relative error = 1.2844094085705465658203529145712e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.885
y[1] (analytic) = 1.5574507514884152489421324100994
y[1] (numeric) = 1.5574507514884152489421324100996
absolute error = 2e-31
relative error = 1.2841497543910469872893711768421e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.886
y[1] (analytic) = 1.5577650699855466348502030333909
y[1] (numeric) = 1.557765069985546634850203033391
absolute error = 1e-31
relative error = 6.4194532235164206766438305306877e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.887
y[1] (analytic) = 1.5580788559674607448157139485358
y[1] (numeric) = 1.558078855967460744815713948536
absolute error = 2e-31
relative error = 1.2836320782738151937013944816979e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.888
y[1] (analytic) = 1.5583921102090215323525558352659
y[1] (numeric) = 1.5583921102090215323525558352661
absolute error = 2e-31
relative error = 1.2833740538712989176249805049943e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.889
y[1] (analytic) = 1.558704833485724691275296774293
y[1] (numeric) = 1.5587048334857246912752967742932
absolute error = 2e-31
relative error = 1.2831165702664877796251065981971e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.89
y[1] (analytic) = 1.5590170265736968802035530573802
y[1] (numeric) = 1.5590170265736968802035530573805
absolute error = 3e-31
relative error = 1.9242894393483302163995858265746e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.891
y[1] (analytic) = 1.5593286902496949464353952449452
y[1] (numeric) = 1.5593286902496949464353952449455
absolute error = 3e-31
relative error = 1.9239048308151187074758566670695e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.892
y[1] (analytic) = 1.5596398252911051491905655977243
y[1] (numeric) = 1.5596398252911051491905655977246
absolute error = 3e-31
relative error = 1.9235210279655773243562118655778e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.893
y[1] (analytic) = 1.5599504324759423822242836392167
y[1] (numeric) = 1.559950432475942382224283639217
absolute error = 3e-31
relative error = 1.9231380289682801313181234184268e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.894
y[1] (analytic) = 1.560260512582849395812417235037
y[1] (numeric) = 1.5602605125828493958124172350374
absolute error = 4e-31
relative error = 2.5636744426598446785763261283236e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.895
y[1] (analytic) = 1.5605700663910960181087972039415
y[1] (numeric) = 1.5605700663910960181087972039418
absolute error = 3e-31
relative error = 1.9223744352201146302592640214858e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.896
y[1] (analytic) = 1.5608790946805783758754541031468
y[1] (numeric) = 1.5608790946805783758754541031472
absolute error = 4e-31
relative error = 2.5626584490956799725007733690427e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.897
y[1] (analytic) = 1.5611875982318181145865564576418
y[1] (numeric) = 1.5611875982318181145865564576422
absolute error = 4e-31
relative error = 2.5621520466408718827547502823596e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.898
y[1] (analytic) = 1.5614955778259616179068303294869
y[1] (numeric) = 1.5614955778259616179068303294873
absolute error = 4e-31
relative error = 2.5616467038408896780306920628198e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.899
y[1] (analytic) = 1.5618030342447792265452407486178
y[1] (numeric) = 1.5618030342447792265452407486183
absolute error = 5e-31
relative error = 3.2014280228478266131521996223929e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.9
y[1] (analytic) = 1.5621099682706644564847161514071
y[1] (numeric) = 1.5621099682706644564847161514076
absolute error = 5e-31
relative error = 3.2007989844244163241674762281164e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.901
y[1] (analytic) = 1.5624163806866332165886975971928
y[1] (numeric) = 1.5624163806866332165886975971933
absolute error = 5e-31
relative error = 3.2001712615190683760422761974452e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.902
y[1] (analytic) = 1.5627222722763230255852951561612
y[1] (numeric) = 1.5627222722763230255852951561617
absolute error = 5e-31
relative error = 3.1995448511249554176964462964460e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.903
y[1] (analytic) = 1.563027643823992228429834484361
y[1] (numeric) = 1.5630276438239922284298344843615
absolute error = 5e-31
relative error = 3.1989197502402169520883861150552e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.904
y[1] (analytic) = 1.5633324961145192120465772232376
y[1] (numeric) = 1.5633324961145192120465772232382
absolute error = 6e-31
relative error = 3.8379551470415289062671020462939e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=106.8MB, alloc=4.4MB, time=5.11
x[1] = 0.905
y[1] (analytic) = 1.5636368299334016204503994819018
y[1] (numeric) = 1.5636368299334016204503994819023
absolute error = 5e-31
relative error = 3.1976734650161443633294512617162e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.906
y[1] (analytic) = 1.5639406460667555692492132803878
y[1] (numeric) = 1.5639406460667555692492132803884
absolute error = 6e-31
relative error = 3.8364627296373079535523951603940e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.907
y[1] (analytic) = 1.5642439453013148595279164514162
y[1] (numeric) = 1.5642439453013148595279164514168
absolute error = 6e-31
relative error = 3.8357188583167192064903391309857e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.908
y[1] (analytic) = 1.5645467284244301911146571166434
y[1] (numeric) = 1.564546728424430191114657116644
absolute error = 6e-31
relative error = 3.8349765404848426962430690847998e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.909
y[1] (analytic) = 1.5648489962240683752301994710699
y[1] (numeric) = 1.5648489962240683752301994710705
absolute error = 6e-31
relative error = 3.8342357725747417868999731875476e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.91
y[1] (analytic) = 1.5651507494888115465211782261747
y[1] (numeric) = 1.5651507494888115465211782261753
absolute error = 6e-31
relative error = 3.8334965510252856942598104217417e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.911
y[1] (analytic) = 1.5654519890078563744780296784564
y[1] (numeric) = 1.565451989007856374478029678457
absolute error = 6e-31
relative error = 3.8327588722811277548642654258358e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.912
y[1] (analytic) = 1.565752715571013274238387985384
y[1] (numeric) = 1.5657527155710132742383879853845
absolute error = 5e-31
relative error = 3.1933522773272364789268539845912e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.913
y[1] (analytic) = 1.5660529299687056167767358452946
y[1] (numeric) = 1.5660529299687056167767358452951
absolute error = 5e-31
relative error = 3.1927401075134253811311541895439e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.914
y[1] (analytic) = 1.5663526329919689384810993915234
y[1] (numeric) = 1.5663526329919689384810993915239
absolute error = 5e-31
relative error = 3.1921292145110699259111331155122e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.915
y[1] (analytic) = 1.566651825432450150117577724003
y[1] (numeric) = 1.5666518254324501501175777240035
absolute error = 5e-31
relative error = 3.1915195953764818624433348500895e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.916
y[1] (analytic) = 1.5669505080824067451834981137382
y[1] (numeric) = 1.5669505080824067451834981137386
absolute error = 4e-31
relative error = 2.5527289977365627887214651817988e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.917
y[1] (analytic) = 1.5672486817347060076499885269339
y[1] (numeric) = 1.5672486817347060076499885269343
absolute error = 4e-31
relative error = 2.5522433335675919384252820931560e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.918
y[1] (analytic) = 1.5675463471828242190947597261393
y[1] (numeric) = 1.5675463471828242190947597261397
absolute error = 4e-31
relative error = 2.5517586814506331861239151271255e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.919
y[1] (analytic) = 1.5678435052208458652258898155579
y[1] (numeric) = 1.5678435052208458652258898155583
absolute error = 4e-31
relative error = 2.5512750390457888566963301208611e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.92
y[1] (analytic) = 1.5681401566434628417974047066744
y[1] (numeric) = 1.5681401566434628417974047066748
absolute error = 4e-31
relative error = 2.5507924040168893365651805340280e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.921
y[1] (analytic) = 1.5684363022459736599174485885512
y[1] (numeric) = 1.5684363022459736599174485885516
absolute error = 4e-31
relative error = 2.5503107740314791087923798147502e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.922
y[1] (analytic) = 1.5687319428242826507498390945582
y[1] (numeric) = 1.5687319428242826507498390945586
absolute error = 4e-31
relative error = 2.5498301467608028393586150303056e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.923
y[1] (analytic) = 1.5690270791748991696098024639136
y[1] (numeric) = 1.569027079174899169609802463914
absolute error = 4e-31
relative error = 2.5493505198797915144386786302426e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.924
y[1] (analytic) = 1.5693217120949367994546846022351
y[1] (numeric) = 1.5693217120949367994546846022355
absolute error = 4e-31
relative error = 2.5488718910670486284854796598240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.925
y[1] (analytic) = 1.5696158423821125537704345503238
y[1] (numeric) = 1.5696158423821125537704345503242
absolute error = 4e-31
relative error = 2.5483942580048364229365750016880e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.926
y[1] (analytic) = 1.5699094708347460788546574746306
y[1] (numeric) = 1.5699094708347460788546574746311
absolute error = 5e-31
relative error = 3.1848970229738277191975441540198e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.927
y[1] (analytic) = 1.5702025982517588554970348962863
y[1] (numeric) = 1.5702025982517588554970348962868
absolute error = 5e-31
relative error = 3.1843024623490806735517867199492e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.928
y[1] (analytic) = 1.5704952254326734000579104782075
y[1] (numeric) = 1.5704952254326734000579104782079
absolute error = 4e-31
relative error = 2.5469673101985999314706741610745e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.929
y[1] (analytic) = 1.5707873531776124649458402916272
y[1] (numeric) = 1.5707873531776124649458402916277
absolute error = 5e-31
relative error = 3.1831170462922862195955715878467e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.93
y[1] (analytic) = 1.571078982287298238494907084433
y[1] (numeric) = 1.5710789822872982384949070844334
absolute error = 4e-31
relative error = 2.5460209480853029872968914644491e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.931
y[1] (analytic) = 1.5713701135630515442425986739304
y[1] (numeric) = 1.5713701135630515442425986739308
absolute error = 4e-31
relative error = 2.5455492410569505141640102905301e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.932
y[1] (analytic) = 1.5716607478067910396090511860886
y[1] (numeric) = 1.571660747806791039609051186089
absolute error = 4e-31
relative error = 2.5450785136562639240366572904154e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.933
y[1] (analytic) = 1.5719508858210324139784584619569
y[1] (numeric) = 1.5719508858210324139784584619572
absolute error = 3e-31
relative error = 1.9084565726957145312759451137660e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.4MB, time=5.30
x[1] = 0.934
y[1] (analytic) = 1.5722405284088875861834495497756
y[1] (numeric) = 1.572240528408887586183449549776
absolute error = 4e-31
relative error = 2.5441399885855968350629150174596e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.935
y[1] (analytic) = 1.5725296763740639013932367983387
y[1] (numeric) = 1.5725296763740639013932367983391
absolute error = 4e-31
relative error = 2.5436721863483001500501351394341e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.936
y[1] (analytic) = 1.5728183305208633274063376633907
y[1] (numeric) = 1.5728183305208633274063376633911
absolute error = 4e-31
relative error = 2.5432053546040104941575421524733e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.937
y[1] (analytic) = 1.5731064916541816503486739342715
y[1] (numeric) = 1.5731064916541816503486739342718
absolute error = 3e-31
relative error = 1.9070546183083799013387731235794e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.938
y[1] (analytic) = 1.5733941605795076697778526826406
y[1] (numeric) = 1.5733941605795076697778526826409
absolute error = 3e-31
relative error = 1.9067059451237884858996394671161e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.939
y[1] (analytic) = 1.573681338102922393194433828935
y[1] (numeric) = 1.5736813381029223931944338289353
absolute error = 3e-31
relative error = 1.9063579946982843822097296639343e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.94
y[1] (analytic) = 1.573968025031098229960989815224
y[1] (numeric) = 1.5739680250310982299609898152243
absolute error = 3e-31
relative error = 1.9060107653335120571534712387055e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.941
y[1] (analytic) = 1.5742542221712981846297634653354
y[1] (numeric) = 1.5742542221712981846297634653357
absolute error = 3e-31
relative error = 1.9056642553336999546871834011549e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.942
y[1] (analytic) = 1.5745399303313750496797307045275
y[1] (numeric) = 1.5745399303313750496797307045278
absolute error = 3e-31
relative error = 1.9053184630056507996375768747796e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.943
y[1] (analytic) = 1.5748251503197705976638754015769
y[1] (numeric) = 1.5748251503197705976638754015771
absolute error = 2e-31
relative error = 1.2699822577724879580501833197830e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.944
y[1] (analytic) = 1.57510988294551477276748418594
y[1] (numeric) = 1.5751098829455147727674841859402
absolute error = 2e-31
relative error = 1.2697526830699104714246534301405e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.945
y[1] (analytic) = 1.5753941290182248817782696816264
y[1] (numeric) = 1.5753941290182248817782696816266
absolute error = 2e-31
relative error = 1.2695235834390132367803807512488e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.946
y[1] (analytic) = 1.5756778893481047844691311875929
y[1] (numeric) = 1.5756778893481047844691311875931
absolute error = 2e-31
relative error = 1.2692949577577986513853825648279e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.947
y[1] (analytic) = 1.5759611647459440833943624218299
y[1] (numeric) = 1.5759611647459440833943624218301
absolute error = 2e-31
relative error = 1.2690668049059533331547353288792e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.948
y[1] (analytic) = 1.5762439560231173131001165328662
y[1] (numeric) = 1.5762439560231173131001165328663
absolute error = 1e-31
relative error = 6.3441956188242089878067410014988e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.949
y[1] (analytic) = 1.5765262639915831287499391681575
y[1] (numeric) = 1.5765262639915831287499391681576
absolute error = 1e-31
relative error = 6.3430595660875007888223961870985e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.95
y[1] (analytic) = 1.5768080894638834941661809737605
y[1] (numeric) = 1.5768080894638834941661809737605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.951
y[1] (analytic) = 1.5770894332531428692881014838095
y[1] (numeric) = 1.5770894332531428692881014838095
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.952
y[1] (analytic) = 1.577370296173067397047476941627
y[1] (numeric) = 1.577370296173067397047476941627
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.953
y[1] (analytic) = 1.5776506790379440896625251767901
y[1] (numeric) = 1.5776506790379440896625251767901
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.954
y[1] (analytic) = 1.5779305826626400143509612441614
y[1] (numeric) = 1.5779305826626400143509612441613
absolute error = 1e-31
relative error = 6.3374144020491362969718853273211e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.955
y[1] (analytic) = 1.5782100078626014784629981117605
y[1] (numeric) = 1.5782100078626014784629981117605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.956
y[1] (analytic) = 1.5784889554538532140351072644082
y[1] (numeric) = 1.5784889554538532140351072644082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.957
y[1] (analytic) = 1.5787674262529975617653546693133
y[1] (numeric) = 1.5787674262529975617653546693133
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.958
y[1] (analytic) = 1.5790454210772136544111281281996
y[1] (numeric) = 1.5790454210772136544111281281995
absolute error = 1e-31
relative error = 6.3329400576571575105955551847603e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.959
y[1] (analytic) = 1.5793229407442565996100726181766
y[1] (numeric) = 1.5793229407442565996100726181765
absolute error = 1e-31
relative error = 6.3318272292603410148859301031137e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.96
y[1] (analytic) = 1.5795999860724566621250508003519
y[1] (numeric) = 1.5795999860724566621250508003518
absolute error = 1e-31
relative error = 6.3307166929420936317798091870180e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.961
y[1] (analytic) = 1.5798765578807184455139464511542
y[1] (numeric) = 1.5798765578807184455139464511541
absolute error = 1e-31
relative error = 6.3296084432154765438293131795603e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.962
y[1] (analytic) = 1.5801526569885200732251291464982
y[1] (numeric) = 1.5801526569885200732251291464981
absolute error = 1e-31
relative error = 6.3285024746015098115947504469551e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.963
y[1] (analytic) = 1.5804282842159123691193991032558
y[1] (numeric) = 1.5804282842159123691193991032558
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.4MB, time=5.51
x[1] = 0.964
y[1] (analytic) = 1.5807034403835180374192316560228
y[1] (numeric) = 1.5807034403835180374192316560228
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.965
y[1] (analytic) = 1.5809781263125308420861414198663
y[1] (numeric) = 1.5809781263125308420861414198663
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.966
y[1] (analytic) = 1.5812523428247147856269867616215
y[1] (numeric) = 1.5812523428247147856269867616215
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.967
y[1] (analytic) = 1.5815260907424032873300357733647
y[1] (numeric) = 1.5815260907424032873300357733646
absolute error = 1e-31
relative error = 6.3230066570104948897970495120200e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.968
y[1] (analytic) = 1.5817993708884983609316155119276
y[1] (numeric) = 1.5817993708884983609316155119276
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.969
y[1] (analytic) = 1.5820721840864697917141668377364
y[1] (numeric) = 1.5820721840864697917141668377363
absolute error = 1e-31
relative error = 6.3208241068812316948087466464349e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.97
y[1] (analytic) = 1.5823445311603543130365277548499
y[1] (numeric) = 1.5823445311603543130365277548498
absolute error = 1e-31
relative error = 6.3197361908704337946366554873585e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.971
y[1] (analytic) = 1.5826164129347547822972687218476
y[1] (numeric) = 1.5826164129347547822972687218476
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.972
y[1] (analytic) = 1.5828878302348393563319039701617
y[1] (numeric) = 1.5828878302348393563319039701617
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.973
y[1] (analytic) = 1.5831587838863406662448034325732
y[1] (numeric) = 1.5831587838863406662448034325733
absolute error = 1e-31
relative error = 6.3164858141720846929987721929531e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.974
y[1] (analytic) = 1.5834292747155549916766304498929
y[1] (numeric) = 1.5834292747155549916766304498929
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.975
y[1] (analytic) = 1.5836993035493414345081309883184
y[1] (numeric) = 1.5836993035493414345081309883184
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.976
y[1] (analytic) = 1.5839688712151210920011006636116
y[1] (numeric) = 1.5839688712151210920011006636115
absolute error = 1e-31
relative error = 6.3132553812933395761755166762853e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.977
y[1] (analytic) = 1.5842379785408762293773564310583
y[1] (numeric) = 1.5842379785408762293773564310583
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.978
y[1] (analytic) = 1.5845066263551494518365403621718
y[1] (numeric) = 1.5845066263551494518365403621718
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.979
y[1] (analytic) = 1.5847748154870428760135834902649
y[1] (numeric) = 1.5847748154870428760135834902649
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.98
y[1] (analytic) = 1.5850425467662173008766582673599
y[1] (numeric) = 1.5850425467662173008766582673599
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.981
y[1] (analytic) = 1.5853098210228913780664487344139
y[1] (numeric) = 1.5853098210228913780664487344139
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.982
y[1] (analytic) = 1.5855766390878407816775680655199
y[1] (numeric) = 1.5855766390878407816775680655199
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.983
y[1] (analytic) = 1.5858430017923973774829537045974
y[1] (numeric) = 1.5858430017923973774829537045975
absolute error = 1e-31
relative error = 6.3057944504579019260120285227569e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.984
y[1] (analytic) = 1.5861089099684483916020708701086
y[1] (numeric) = 1.5861089099684483916020708701087
absolute error = 1e-31
relative error = 6.3047372958764380197645519910596e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.985
y[1] (analytic) = 1.5863743644484355786137557595258
y[1] (numeric) = 1.5863743644484355786137557595259
absolute error = 1e-31
relative error = 6.3036822985203034843456143025042e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.986
y[1] (analytic) = 1.5866393660653543891145303406393
y[1] (numeric) = 1.5866393660653543891145303406395
absolute error = 2e-31
relative error = 1.2605258906185610804109940688900e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.987
y[1] (analytic) = 1.5869039156527531367232211713211
y[1] (numeric) = 1.5869039156527531367232211713212
absolute error = 1e-31
relative error = 6.3015787543044940448201823520550e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.988
y[1] (analytic) = 1.5871680140447321645327152430547
y[1] (numeric) = 1.5871680140447321645327152430548
absolute error = 1e-31
relative error = 6.3005301968731356040231605472399e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.989
y[1] (analytic) = 1.5874316620759430110096863964084
y[1] (numeric) = 1.5874316620759430110096863964085
absolute error = 1e-31
relative error = 6.2994837755236850216485501601532e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.99
y[1] (analytic) = 1.5876948605815875753431264086536
y[1] (numeric) = 1.5876948605815875753431264086538
absolute error = 2e-31
relative error = 1.2596878969976517844846167316092e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.991
y[1] (analytic) = 1.5879576103974172822425154049293
y[1] (numeric) = 1.5879576103974172822425154049295
absolute error = 2e-31
relative error = 1.2594794640012217293233504157838e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.992
y[1] (analytic) = 1.5882199123597322461864667947115
y[1] (numeric) = 1.5882199123597322461864667947116
absolute error = 1e-31
relative error = 6.2963572753235933831783754994192e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.993
y[1] (analytic) = 1.5884817673053804351226824848735
y[1] (numeric) = 1.5884817673053804351226824848736
absolute error = 1e-31
relative error = 6.2953193456941534028798699056581e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.4MB, time=5.72
x[1] = 0.994
y[1] (analytic) = 1.5887431760717568336200546693127
y[1] (numeric) = 1.5887431760717568336200546693128
absolute error = 1e-31
relative error = 6.2942835258782833911452161291147e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.995
y[1] (analytic) = 1.5890041394968026054737510429714
y[1] (numeric) = 1.5890041394968026054737510429715
absolute error = 1e-31
relative error = 6.2932498106435058802418361044251e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.996
y[1] (analytic) = 1.5892646584190042557641208350967
y[1] (numeric) = 1.5892646584190042557641208350969
absolute error = 2e-31
relative error = 1.2584436389528689561027545096373e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.997
y[1] (analytic) = 1.5895247336773927923702596027651
y[1] (numeric) = 1.5895247336773927923702596027652
absolute error = 1e-31
relative error = 6.2911886730222990103377502941535e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.998
y[1] (analytic) = 1.5897843661115428869390712710343
y[1] (numeric) = 1.5897843661115428869390712710344
absolute error = 1e-31
relative error = 6.2901612402058162244848709963252e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.999
y[1] (analytic) = 1.5900435565615720353106664505939
y[1] (numeric) = 1.590043556561572035310666450594
absolute error = 1e-31
relative error = 6.2891358911102666405723577729887e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1
y[1] (analytic) = 1.590302305868139717400936607443
y[1] (numeric) = 1.5903023058681397174009366074431
absolute error = 1e-31
relative error = 6.2881126205379169632914226571662e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.001
y[1] (analytic) = 1.5905606148724465565421442019536
y[1] (numeric) = 1.5905606148724465565421442019537
absolute error = 1e-31
relative error = 6.2870914232979044060989774870589e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.002
y[1] (analytic) = 1.5908184844162334782823694566573
y[1] (numeric) = 1.5908184844162334782823694566574
absolute error = 1e-31
relative error = 6.2860722942062108100625481587646e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.003
y[1] (analytic) = 1.5910759153417808686446549532403
y[1] (numeric) = 1.5910759153417808686446549532404
absolute error = 1e-31
relative error = 6.2850552280856368595493830171115e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.004
y[1] (analytic) = 1.5913329084919077318466897995304
y[1] (numeric) = 1.5913329084919077318466897995305
absolute error = 1e-31
relative error = 6.2840402197657763944523686230695e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.005
y[1] (analytic) = 1.5915894647099708474818756467225
y[1] (numeric) = 1.5915894647099708474818756467226
absolute error = 1e-31
relative error = 6.2830272640829908186469802516467e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.006
y[1] (analytic) = 1.5918455848398639271626173757064
y[1] (numeric) = 1.5918455848398639271626173757065
absolute error = 1e-31
relative error = 6.2820163558803836043751002859993e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.007
y[1] (analytic) = 1.5921012697260167706266818091356
y[1] (numeric) = 1.5921012697260167706266818091356
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.008
y[1] (analytic) = 1.5923565202133944213074683428077
y[1] (numeric) = 1.5923565202133944213074683428077
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.009
y[1] (analytic) = 1.592611337147496321369035926017
y[1] (numeric) = 1.5926113371474963213690359260169
absolute error = 1e-31
relative error = 6.2789958646852651458097302962389e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.01
y[1] (analytic) = 1.5928657213743554662067313557792
y[1] (numeric) = 1.5928657213743554662067313557791
absolute error = 1e-31
relative error = 6.2779930949683604673984186629852e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.011
y[1] (analytic) = 1.5931196737405375584142643842326
y[1] (numeric) = 1.5931196737405375584142643842325
absolute error = 1e-31
relative error = 6.2769923470473968675500110053348e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.012
y[1] (analytic) = 1.5933731950931401612180756720674
y[1] (numeric) = 1.5933731950931401612180756720673
absolute error = 1e-31
relative error = 6.2759936158054001547454621007730e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.013
y[1] (analytic) = 1.5936262862797918513798441535466
y[1] (numeric) = 1.5936262862797918513798441535465
absolute error = 1e-31
relative error = 6.2749968961319623972545735331144e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.014
y[1] (analytic) = 1.5938789481486513715679809105391
y[1] (numeric) = 1.5938789481486513715679809105391
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.015
y[1] (analytic) = 1.594131181548406782198957184002
y[1] (numeric) = 1.594131181548406782198957184002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.016
y[1] (analytic) = 1.5943829873282746127493146815114
y[1] (numeric) = 1.5943829873282746127493146815114
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.017
y[1] (analytic) = 1.5946343663379990125392068687629
y[1] (numeric) = 1.5946343663379990125392068687629
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.018
y[1] (analytic) = 1.5948853194278509009883204614282
y[1] (numeric) = 1.5948853194278509009883204614282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.019
y[1] (analytic) = 1.5951358474486271173450268613758
y[1] (numeric) = 1.5951358474486271173450268613758
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.02
y[1] (analytic) = 1.5953859512516495698896138080338
y[1] (numeric) = 1.5953859512516495698896138080338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.021
y[1] (analytic) = 1.5956356316887643846124480415924
y[1] (numeric) = 1.5956356316887643846124480415924
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.022
y[1] (analytic) = 1.5958848896123410533679202998119
y[1] (numeric) = 1.5958848896123410533679202998118
absolute error = 1e-31
relative error = 6.2661160996574859272384844380464e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=122.0MB, alloc=4.4MB, time=5.91
TOP MAIN SOLVE Loop
x[1] = 1.023
y[1] (analytic) = 1.5961337258752715815050244944202
y[1] (numeric) = 1.5961337258752715815050244944201
absolute error = 1e-31
relative error = 6.2651392160242098073839900742468e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.024
y[1] (analytic) = 1.5963821413309696349754234364508
y[1] (numeric) = 1.5963821413309696349754234364508
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.025
y[1] (analytic) = 1.5966301368333696869198540023831
y[1] (numeric) = 1.596630136833369686919854002383
absolute error = 1e-31
relative error = 6.2631913110654490477300102811473e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.026
y[1] (analytic) = 1.5968777132369261637337251546087
y[1] (numeric) = 1.5968777132369261637337251546086
absolute error = 1e-31
relative error = 6.2622202796791842837123217172665e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.027
y[1] (analytic) = 1.5971248713966125906127627505561
y[1] (numeric) = 1.5971248713966125906127627505561
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.028
y[1] (analytic) = 1.5973716121679207365795555947563
y[1] (numeric) = 1.5973716121679207365795555947563
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.029
y[1] (analytic) = 1.5976179364068597589918577072318
y[1] (numeric) = 1.5976179364068597589918577072318
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.03
y[1] (analytic) = 1.5978638449699553475335022998374
y[1] (numeric) = 1.5978638449699553475335022998373
absolute error = 1e-31
relative error = 6.2583555110028978197074561685620e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.031
y[1] (analytic) = 1.5981093387142488676887834695646
y[1] (numeric) = 1.5981093387142488676887834695646
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.032
y[1] (analytic) = 1.5983544184972965037011621343598
y[1] (numeric) = 1.5983544184972965037011621343598
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.033
y[1] (analytic) = 1.5985990851771684010171532526755
y[1] (numeric) = 1.5985990851771684010171532526755
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.034
y[1] (analytic) = 1.5988433396124478082162518827991
y[1] (numeric) = 1.5988433396124478082162518827991
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.035
y[1] (analytic) = 1.599087182662230218427756151959
y[1] (numeric) = 1.5990871826622302184277561519591
absolute error = 1e-31
relative error = 6.2535677281532349106356081342879e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.036
y[1] (analytic) = 1.5993306151861225102353457183156
y[1] (numeric) = 1.5993306151861225102353457183157
absolute error = 1e-31
relative error = 6.2526158788226832243164056344925e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.037
y[1] (analytic) = 1.5995736380442420880702748211855
y[1] (numeric) = 1.5995736380442420880702748211855
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.038
y[1] (analytic) = 1.5998162520972160220940395262352
y[1] (numeric) = 1.5998162520972160220940395262352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.039
y[1] (analytic) = 1.6000584582061801875713792829054
y[1] (numeric) = 1.6000584582061801875713792829055
absolute error = 1e-31
relative error = 6.2497716559749724517207548584896e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.04
y[1] (analytic) = 1.6003002572327784037344734209922
y[1] (numeric) = 1.6003002572327784037344734209922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.041
y[1] (analytic) = 1.6005416500391615721391937221164
y[1] (numeric) = 1.6005416500391615721391937221164
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.042
y[1] (analytic) = 1.6007826374879868145142747097584
y[1] (numeric) = 1.6007826374879868145142747097584
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.043
y[1] (analytic) = 1.6010232204424166101042638086145
y[1] (numeric) = 1.6010232204424166101042638086145
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.044
y[1] (analytic) = 1.6012633997661179325071140302536
y[1] (numeric) = 1.6012633997661179325071140302536
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.045
y[1] (analytic) = 1.6015031763232613860072823474097
y[1] (numeric) = 1.6015031763232613860072823474097
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.046
y[1] (analytic) = 1.6017425509785203414051974237396
y[1] (numeric) = 1.6017425509785203414051974237396
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.047
y[1] (analytic) = 1.601981524597070071343960869506
y[1] (numeric) = 1.601981524597070071343960869506
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.048
y[1] (analytic) = 1.6022200980445868851341466964129
y[1] (numeric) = 1.6022200980445868851341466964129
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.049
y[1] (analytic) = 1.6024582721872472630775641467215
y[1] (numeric) = 1.6024582721872472630775641467215
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.05
y[1] (analytic) = 1.6026960478917269902908495728121
y[1] (numeric) = 1.6026960478917269902908495728121
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.051
y[1] (analytic) = 1.6029334260252002900297535435273
y[1] (numeric) = 1.6029334260252002900297535435273
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
memory used=125.8MB, alloc=4.4MB, time=6.11
TOP MAIN SOLVE Loop
x[1] = 1.052
y[1] (analytic) = 1.6031704074553389565149898529376
y[1] (numeric) = 1.6031704074553389565149898529377
absolute error = 1e-31
relative error = 6.2376400871025805253793214307587e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.053
y[1] (analytic) = 1.6034069930503114872605136056084
y[1] (numeric) = 1.6034069930503114872605136056085
absolute error = 1e-31
relative error = 6.2367197120526849016054324149389e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.054
y[1] (analytic) = 1.6036431836787822149050960500167
y[1] (numeric) = 1.6036431836787822149050960500168
absolute error = 1e-31
relative error = 6.2358011444041096812330263467244e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.055
y[1] (analytic) = 1.6038789802099104385480643284723
y[1] (numeric) = 1.6038789802099104385480643284724
absolute error = 1e-31
relative error = 6.2348843793010072902410939417762e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.056
y[1] (analytic) = 1.6041143835133495545900748077295
y[1] (numeric) = 1.6041143835133495545900748077296
absolute error = 1e-31
relative error = 6.2339694118931134719939230177491e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.057
y[1] (analytic) = 1.604349394459246187079789149445
y[1] (numeric) = 1.6043493944592461870797891494451
absolute error = 1e-31
relative error = 6.2330562373357263157040656413384e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.058
y[1] (analytic) = 1.6045840139182393175673227737323
y[1] (numeric) = 1.6045840139182393175673227737324
absolute error = 1e-31
relative error = 6.2321448507896853670261356984401e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.059
y[1] (analytic) = 1.6048182427614594144653358622922
y[1] (numeric) = 1.6048182427614594144653358622924
absolute error = 2e-31
relative error = 1.2462470494842701641103075105860e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.06
y[1] (analytic) = 1.6050520818605275619186375399564
y[1] (numeric) = 1.6050520818605275619186375399566
absolute error = 2e-31
relative error = 1.2460654844805165587950882214097e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.061
y[1] (analytic) = 1.6052855320875545881831743649656
y[1] (numeric) = 1.6052855320875545881831743649658
absolute error = 2e-31
relative error = 1.2458842741821441367417053830440e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.062
y[1] (analytic) = 1.6055185943151401935152747489234
y[1] (numeric) = 1.6055185943151401935152747489236
absolute error = 2e-31
relative error = 1.2457034176257125203414454126384e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.063
y[1] (analytic) = 1.605751269416372077572021417107
y[1] (numeric) = 1.6057512694163720775720214171072
absolute error = 2e-31
relative error = 1.2455229138488689786594766670775e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.064
y[1] (analytic) = 1.6059835582648250663236245086903
y[1] (numeric) = 1.6059835582648250663236245086905
absolute error = 2e-31
relative error = 1.2453427618903443471534867569513e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.065
y[1] (analytic) = 1.6062154617345602384786684044334
y[1] (numeric) = 1.6062154617345602384786684044337
absolute error = 3e-31
relative error = 1.8677444411849234452525266661545e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.066
y[1] (analytic) = 1.6064469807001240514231058565195
y[1] (numeric) = 1.6064469807001240514231058565198
absolute error = 3e-31
relative error = 1.8674752643828529292437907107117e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.067
y[1] (analytic) = 1.6066781160365474666738734814705
y[1] (numeric) = 1.6066781160365474666738734814708
absolute error = 3e-31
relative error = 1.8672066109922407934331538712289e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.068
y[1] (analytic) = 1.6069088686193450748480031624552
y[1] (numeric) = 1.6069088686193450748480031624555
absolute error = 3e-31
relative error = 1.8669384795776239674279893639606e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.069
y[1] (analytic) = 1.6071392393245142201481043918041
y[1] (numeric) = 1.6071392393245142201481043918043
absolute error = 2e-31
relative error = 1.2444472458034229929673478724858e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.07
y[1] (analytic) = 1.6073692290285341243650930681759
y[1] (numeric) = 1.6073692290285341243650930681762
absolute error = 3e-31
relative error = 1.8664037769424935299126865812169e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.071
y[1] (analytic) = 1.6075988386083650103990427455749
y[1] (numeric) = 1.6075988386083650103990427455752
absolute error = 3e-31
relative error = 1.8661372028590054387540186904602e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.072
y[1] (analytic) = 1.607828068941447225299034813293
y[1] (numeric) = 1.6078280689414472252990348132933
absolute error = 3e-31
relative error = 1.8658711450255518164956934056863e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.073
y[1] (analytic) = 1.6080569209057003628228845668551
y[1] (numeric) = 1.6080569209057003628228845668554
absolute error = 3e-31
relative error = 1.8656056020145856089291813295867e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.074
y[1] (analytic) = 1.6082853953795223855176206101673
y[1] (numeric) = 1.6082853953795223855176206101676
absolute error = 3e-31
relative error = 1.8653405724001252253863193074057e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.075
y[1] (analytic) = 1.6085134932417887463215955083164
y[1] (numeric) = 1.6085134932417887463215955083167
absolute error = 3e-31
relative error = 1.8650760547577486805239354811395e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.076
y[1] (analytic) = 1.6087412153718515096891060888357
y[1] (numeric) = 1.608741215371851509689106088836
absolute error = 3e-31
relative error = 1.8648120476645877595605019537991e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.077
y[1] (analytic) = 1.6089685626495384722384022667445
y[1] (numeric) = 1.6089685626495384722384022667447
absolute error = 2e-31
relative error = 1.2430323664662148046014146188104e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.078
y[1] (analytic) = 1.6091955359551522829239637452787
y[1] (numeric) = 1.6091955359551522829239637452789
absolute error = 2e-31
relative error = 1.2428570396281159587303265575350e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.079
y[1] (analytic) = 1.609422136169469562733924419963
y[1] (numeric) = 1.6094221361694695627339244199632
absolute error = 2e-31
relative error = 1.2426820503166008500305285906913e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=129.7MB, alloc=4.4MB, time=6.31
TOP MAIN SOLVE Loop
x[1] = 1.08
y[1] (analytic) = 1.609648364173740023913524788526
y[1] (numeric) = 1.6096483641737400239135247885263
absolute error = 3e-31
relative error = 1.8637610963807932044378506326171e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.081
y[1] (analytic) = 1.6098742208496855887154731431336
y[1] (numeric) = 1.6098742208496855887154731431339
absolute error = 3e-31
relative error = 1.8634996207446636592991156351977e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.082
y[1] (analytic) = 1.6100997070794995076780967945048
y[1] (numeric) = 1.6100997070794995076780967945051
absolute error = 3e-31
relative error = 1.8632386471528458236434829991193e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.083
y[1] (analytic) = 1.6103248237458454774321650496862
y[1] (numeric) = 1.6103248237458454774321650496865
absolute error = 3e-31
relative error = 1.8629781741931864601351796334298e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.084
y[1] (analytic) = 1.6105495717318567580372661365885
y[1] (numeric) = 1.6105495717318567580372661365888
absolute error = 3e-31
relative error = 1.8627182004550402607123253824713e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.085
y[1] (analytic) = 1.610773951921135289848620738834
y[1] (numeric) = 1.6107739519211352898486207388343
absolute error = 3e-31
relative error = 1.8624587245292642201100778260560e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.086
y[1] (analytic) = 1.6109979651977508099152152740286
y[1] (numeric) = 1.6109979651977508099152152740288
absolute error = 2e-31
relative error = 1.2414664966721413548157269952689e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.087
y[1] (analytic) = 1.6112216124462399679101385172507
y[1] (numeric) = 1.6112216124462399679101385172509
absolute error = 2e-31
relative error = 1.2412941736571523395008870027638e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.088
y[1] (analytic) = 1.6114448945516054415940056393479
y[1] (numeric) = 1.6114448945516054415940056393481
absolute error = 2e-31
relative error = 1.2411221797047626823730775102291e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.089
y[1] (analytic) = 1.6116678123993150518123541965422
y[1] (numeric) = 1.6116678123993150518123541965424
absolute error = 2e-31
relative error = 1.2409505138795126481396991760494e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.09
y[1] (analytic) = 1.6118903668753008770278970738751
y[1] (numeric) = 1.6118903668753008770278970738754
absolute error = 3e-31
relative error = 1.8611687628703882640878213131783e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.091
y[1] (analytic) = 1.6121125588659583673885178501657
y[1] (numeric) = 1.612112558865958367388517850166
absolute error = 3e-31
relative error = 1.8609122443102558295832022145661e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.092
y[1] (analytic) = 1.6123343892581454583318945164118
y[1] (numeric) = 1.6123343892581454583318945164121
absolute error = 3e-31
relative error = 1.8606562137400891527507928123925e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.093
y[1] (analytic) = 1.6125558589391816837276379429376
y[1] (numeric) = 1.6125558589391816837276379429379
absolute error = 3e-31
relative error = 1.8604006697625638259064697647233e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.094
y[1] (analytic) = 1.6127769687968472885578319530748
y[1] (numeric) = 1.6127769687968472885578319530751
absolute error = 3e-31
relative error = 1.8601456109818081265942250967274e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.095
y[1] (analytic) = 1.6129977197193823411368623227636
y[1] (numeric) = 1.6129977197193823411368623227639
absolute error = 3e-31
relative error = 1.8598910360033976168694207131412e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.096
y[1] (analytic) = 1.6132181125954858448714224861697
y[1] (numeric) = 1.61321811259548584487142248617
absolute error = 3e-31
relative error = 1.8596369434343497648412755503899e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.097
y[1] (analytic) = 1.6134381483143148495615841872392
y[1] (numeric) = 1.6134381483143148495615841872395
absolute error = 3e-31
relative error = 1.8593833318831185884182034463899e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.098
y[1] (analytic) = 1.6136578277654835622438217760449
y[1] (numeric) = 1.6136578277654835622438217760452
absolute error = 3e-31
relative error = 1.8591301999595893211999181057471e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.099
y[1] (analytic) = 1.6138771518390624575768793068267
y[1] (numeric) = 1.613877151839062457576879306827
absolute error = 3e-31
relative error = 1.8588775462750731004605182467833e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.1
y[1] (analytic) = 1.6140961214255773877713700517847
y[1] (numeric) = 1.614096121425577387771370051785
absolute error = 3e-31
relative error = 1.8586253694423016771670611415158e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.101
y[1] (analytic) = 1.6143147374160086920639985009513
y[1] (numeric) = 1.6143147374160086920639985009516
absolute error = 3e-31
relative error = 1.8583736680754221479784263072781e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.102
y[1] (analytic) = 1.6145330007017903057372953738456
y[1] (numeric) = 1.6145330007017903057372953738459
absolute error = 3e-31
relative error = 1.8581224407899917091695630859458e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.103
y[1] (analytic) = 1.6147509121748088686857566231016
y[1] (numeric) = 1.6147509121748088686857566231019
absolute error = 3e-31
relative error = 1.8578716862029724324265062605307e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.104
y[1] (analytic) = 1.6149684727274028335292778638564
y[1] (numeric) = 1.6149684727274028335292778638566
absolute error = 2e-31
relative error = 1.2384142686218173749718884773197e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.105
y[1] (analytic) = 1.6151856832523615732747761153897
y[1] (numeric) = 1.6151856832523615732747761153899
absolute error = 2e-31
relative error = 1.2382477263993392242456796387160e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.106
y[1] (analytic) = 1.615402544642924488526891193319
y[1] (numeric) = 1.6154025446429244885268911933192
absolute error = 2e-31
relative error = 1.2380814965486442164949660453631e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.107
y[1] (analytic) = 1.6156190577927801142486595415738
y[1] (numeric) = 1.615619057792780114248659541574
absolute error = 2e-31
relative error = 1.2379155781514188629200619316675e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.4MB, time=6.51
x[1] = 1.108
y[1] (analytic) = 1.6158352235960652260730537434014
y[1] (numeric) = 1.6158352235960652260730537434016
absolute error = 2e-31
relative error = 1.2377499702902690617587900034144e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.109
y[1] (analytic) = 1.6160510429473639461662813997896
y[1] (numeric) = 1.6160510429473639461662813997898
absolute error = 2e-31
relative error = 1.2375846720487167022123206731793e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.11
y[1] (analytic) = 1.6162665167417068486437375119336
y[1] (numeric) = 1.6162665167417068486437375119338
absolute error = 2e-31
relative error = 1.2374196825111962827019837938723e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.111
y[1] (analytic) = 1.6164816458745700645395049517196
y[1] (numeric) = 1.6164816458745700645395049517199
absolute error = 3e-31
relative error = 1.8558825011445773151332313118060e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.112
y[1] (analytic) = 1.6166964312418743863302980506507
y[1] (numeric) = 1.616696431241874386330298050651
absolute error = 3e-31
relative error = 1.8556359388357981697317452849386e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.113
y[1] (analytic) = 1.6169108737399843720147447831956
y[1] (numeric) = 1.6169108737399843720147447831959
absolute error = 3e-31
relative error = 1.8553898354711852554635609366533e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.114
y[1] (analytic) = 1.6171249742657074487489034652048
y[1] (numeric) = 1.6171249742657074487489034652052
absolute error = 4e-31
relative error = 2.4735255862437542363154650489732e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.115
y[1] (analytic) = 1.6173387337162930160389103318025
y[1] (numeric) = 1.6173387337162930160389103318029
absolute error = 4e-31
relative error = 2.4731986668054805484526105589043e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.116
y[1] (analytic) = 1.6175521529894315484916548020305
y[1] (numeric) = 1.6175521529894315484916548020309
absolute error = 4e-31
relative error = 2.4728723538264391476209436141101e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.117
y[1] (analytic) = 1.6177652329832536981243796794962
y[1] (numeric) = 1.6177652329832536981243796794966
absolute error = 4e-31
relative error = 2.4725466454880885751652791943621e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.118
y[1] (analytic) = 1.6179779745963293962341039793483
y[1] (numeric) = 1.6179779745963293962341039793487
absolute error = 4e-31
relative error = 2.4722215399736595065110329309305e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.119
y[1] (analytic) = 1.6181903787276669548277665120828
y[1] (numeric) = 1.6181903787276669548277665120832
absolute error = 4e-31
relative error = 2.4718970354681482425383133856790e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.12
y[1] (analytic) = 1.6184024462767121676139887939611
y[1] (numeric) = 1.6184024462767121676139887939615
absolute error = 4e-31
relative error = 2.4715731301583102289363462307324e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.121
y[1] (analytic) = 1.6186141781433474105573562922021
y[1] (numeric) = 1.6186141781433474105573562922025
absolute error = 4e-31
relative error = 2.4712498222326536034720326356183e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.122
y[1] (analytic) = 1.6188255752278907419961174505922
y[1] (numeric) = 1.6188255752278907419961174505926
absolute error = 4e-31
relative error = 2.4709271098814327711067934235945e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.123
y[1] (analytic) = 1.6190366384310950023242003777392
y[1] (numeric) = 1.6190366384310950023242003777396
absolute error = 4e-31
relative error = 2.4706049912966420068961978981609e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.124
y[1] (analytic) = 1.6192473686541469132384475158786
y[1] (numeric) = 1.6192473686541469132384475158789
absolute error = 3e-31
relative error = 1.8527125985040068149554162542975e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.125
y[1] (analytic) = 1.6194577667986661765519690429217
y[1] (numeric) = 1.619457766798666176551969042922
absolute error = 3e-31
relative error = 1.8524718961522417087412410241845e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.126
y[1] (analytic) = 1.6196678337667045725745161943185
y[1] (numeric) = 1.6196678337667045725745161943188
absolute error = 3e-31
relative error = 1.8522316350650680212208917534667e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.127
y[1] (analytic) = 1.6198775704607450580607761242855
y[1] (numeric) = 1.6198775704607450580607761242858
absolute error = 3e-31
relative error = 1.8519918138916535057525415424570e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.128
y[1] (analytic) = 1.620086977783700863727490358029
y[1] (numeric) = 1.6200869777837008637274903580293
absolute error = 3e-31
relative error = 1.8517524312824471399935621730638e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.129
y[1] (analytic) = 1.6202960566389145913402993177705
y[1] (numeric) = 1.6202960566389145913402993177707
absolute error = 2e-31
relative error = 1.2343423239261163013870287655342e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.13
y[1] (analytic) = 1.6205048079301573103712158356535
y[1] (numeric) = 1.6205048079301573103712158356538
absolute error = 3e-31
relative error = 1.8512749763648328673096931419148e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.131
y[1] (analytic) = 1.6207132325616276542276309959846
y[1] (numeric) = 1.6207132325616276542276309959849
absolute error = 3e-31
relative error = 1.8510369013636870752705310507788e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.132
y[1] (analytic) = 1.6209213314379509160537560777255
y[1] (numeric) = 1.6209213314379509160537560777258
absolute error = 3e-31
relative error = 1.8507992595412644173860216784064e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.133
y[1] (analytic) = 1.6211291054641781441054047957204
y[1] (numeric) = 1.6211291054641781441054047957207
absolute error = 3e-31
relative error = 1.8505620495543502948125575342297e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.134
y[1] (analytic) = 1.6213365555457852366990204658005
y[1] (numeric) = 1.6213365555457852366990204658008
absolute error = 3e-31
relative error = 1.8503252700609835966534333157917e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.135
y[1] (analytic) = 1.6215436825886720367358531446633
y[1] (numeric) = 1.6215436825886720367358531446636
absolute error = 3e-31
relative error = 1.8500889197204521484397033551233e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.4MB, time=6.71
x[1] = 1.136
y[1] (analytic) = 1.621750487499161425802192220273
y[1] (numeric) = 1.6217504874991614258021922202734
absolute error = 4e-31
relative error = 2.4664706629243842411100728823955e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.137
y[1] (analytic) = 1.6219569711839984178465603524761
y[1] (numeric) = 1.6219569711839984178465603524765
absolute error = 4e-31
relative error = 2.4661566681883517580020922518083e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.138
y[1] (analytic) = 1.6221631345503492524347750865601
y[1] (numeric) = 1.6221631345503492524347750865605
absolute error = 4e-31
relative error = 2.4658432403031821188446514525632e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.139
y[1] (analytic) = 1.6223689785058004875837848846205
y[1] (numeric) = 1.6223689785058004875837848846208
absolute error = 3e-31
relative error = 1.8491477831158949525263330265421e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.14
y[1] (analytic) = 1.6225745039583580921751867408226
y[1] (numeric) = 1.6225745039583580921751867408229
absolute error = 3e-31
relative error = 1.8489135584722538497239625521636e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.141
y[1] (analytic) = 1.6227797118164465379493329669665
y[1] (numeric) = 1.6227797118164465379493329669668
absolute error = 3e-31
relative error = 1.8486797549631502721464051881688e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.142
y[1] (analytic) = 1.6229846029889078910809351541712
y[1] (numeric) = 1.6229846029889078910809351541715
absolute error = 3e-31
relative error = 1.8484463712564888506715101284631e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.143
y[1] (analytic) = 1.6231891783850009033370737349995
y[1] (numeric) = 1.6231891783850009033370737349998
absolute error = 3e-31
relative error = 1.8482134060213874646237174413710e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.144
y[1] (analytic) = 1.6233934389144001028185219879378
y[1] (numeric) = 1.6233934389144001028185219879381
absolute error = 3e-31
relative error = 1.8479808579281728706259672911919e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.145
y[1] (analytic) = 1.6235973854871948842852937428306
y[1] (numeric) = 1.623597385487194884285293742831
absolute error = 4e-31
relative error = 2.4636649675311684683613360291318e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.146
y[1] (analytic) = 1.6238010190138885990673244616476
y[1] (numeric) = 1.6238010190138885990673244616479
absolute error = 3e-31
relative error = 1.8475170078547293835685434592029e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.147
y[1] (analytic) = 1.6240043404053976445611957838243
y[1] (numeric) = 1.6240043404053976445611957838246
absolute error = 3e-31
relative error = 1.8472857032211593271250554968765e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.148
y[1] (analytic) = 1.6242073505730505533138140393782
y[1] (numeric) = 1.6242073505730505533138140393785
absolute error = 3e-31
relative error = 1.8470548104227851320130284383260e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.149
y[1] (analytic) = 1.624410050428587081693953646044
y[1] (numeric) = 1.6244100504285870816939536460443
absolute error = 3e-31
relative error = 1.8468243281359130662869466804503e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.15
y[1] (analytic) = 1.6246124408841572981525767188099
y[1] (numeric) = 1.6246124408841572981525767188102
absolute error = 3e-31
relative error = 1.8465942550380324631033251461372e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.151
y[1] (analytic) = 1.6248145228523206710728406314584
y[1] (numeric) = 1.6248145228523206710728406314587
absolute error = 3e-31
relative error = 1.8463645898078114874024224097818e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.152
y[1] (analytic) = 1.6250162972460451562107056800289
y[1] (numeric) = 1.6250162972460451562107056800292
absolute error = 3e-31
relative error = 1.8461353311250929221094597158338e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.153
y[1] (analytic) = 1.625217764978706283727055407518
y[1] (numeric) = 1.6252177649787062837270554075182
absolute error = 2e-31
relative error = 1.2306043184472599825422633804717e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.154
y[1] (analytic) = 1.6254189269640862448122425576204
y[1] (numeric) = 1.6254189269640862448122425576206
absolute error = 2e-31
relative error = 1.2304520187515880652543468651562e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.155
y[1] (analytic) = 1.6256197841163729779039740328903
y[1] (numeric) = 1.6256197841163729779039740328905
absolute error = 2e-31
relative error = 1.2302999874519405619789109253690e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.156
y[1] (analytic) = 1.6258203373501592544994486393596
y[1] (numeric) = 1.6258203373501592544994486393598
absolute error = 2e-31
relative error = 1.2301482236713171432517457747844e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.157
y[1] (analytic) = 1.6260205875804417645626618054011
y[1] (numeric) = 1.6260205875804417645626618054012
absolute error = 1e-31
relative error = 6.1499836326674335324531939404813e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.158
y[1] (analytic) = 1.6262205357226202015277918674544
y[1] (numeric) = 1.6262205357226202015277918674546
absolute error = 2e-31
relative error = 1.2298454951629846442919730182901e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.159
y[1] (analytic) = 1.6264201826924963468995829191534
y[1] (numeric) = 1.6264201826924963468995829191535
absolute error = 1e-31
relative error = 6.1484726434255506277379582457406e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.16
y[1] (analytic) = 1.626619529406273154451639623394
y[1] (numeric) = 1.6266195294062731544516396233941
absolute error = 1e-31
relative error = 6.1477191311296169467748209895656e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.161
y[1] (analytic) = 1.6268185767805538340235497889738
y[1] (numeric) = 1.6268185767805538340235497889739
absolute error = 1e-31
relative error = 6.1469669345612152584691512326109e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.162
y[1] (analytic) = 1.627017325732340934917750914602
y[1] (numeric) = 1.6270173257323409349177509146021
absolute error = 1e-31
relative error = 6.1462160493582171242131781049344e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.163
y[1] (analytic) = 1.6272157771790354288970573033388
y[1] (numeric) = 1.6272157771790354288970573033389
absolute error = 1e-31
relative error = 6.1454664711622592475410713018116e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.4MB, time=6.91
x[1] = 1.164
y[1] (analytic) = 1.6274139320384357927837647498593
y[1] (numeric) = 1.6274139320384357927837647498594
absolute error = 1e-31
relative error = 6.1447181956187301982115326116382e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.165
y[1] (analytic) = 1.6276117912287370906612502013618
y[1] (numeric) = 1.6276117912287370906612502013619
absolute error = 1e-31
relative error = 6.1439712183767571995932068233682e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.166
y[1] (analytic) = 1.6278093556685300556789841904433
y[1] (numeric) = 1.6278093556685300556789841904434
absolute error = 1e-31
relative error = 6.1432255350891929792222286196665e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.167
y[1] (analytic) = 1.6280066262768001714618742348546
y[1] (numeric) = 1.6280066262768001714618742348547
absolute error = 1e-31
relative error = 6.1424811414126026824018974346959e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.168
y[1] (analytic) = 1.6282036039729267531248577947136
y[1] (numeric) = 1.6282036039729267531248577947137
absolute error = 1e-31
relative error = 6.1417380330072508487151436059027e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.169
y[1] (analytic) = 1.6284002896766820278936637725082
y[1] (numeric) = 1.6284002896766820278936637725083
absolute error = 1e-31
relative error = 6.1409962055370884513211164918203e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.17
y[1] (analytic) = 1.6285966843082302153326619350505
y[1] (numeric) = 1.6285966843082302153326619350506
absolute error = 1e-31
relative error = 6.1402556546697399989078885772528e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.171
y[1] (analytic) = 1.6287927887881266071807200294562
y[1] (numeric) = 1.6287927887881266071807200294563
absolute error = 1e-31
relative error = 6.1395163760764907001739289575449e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.172
y[1] (analytic) = 1.6289886040373166467959887572152
y[1] (numeric) = 1.6289886040373166467959887572153
absolute error = 1e-31
relative error = 6.1387783654322736907116549992689e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.173
y[1] (analytic) = 1.6291841309771350082105351614918
y[1] (numeric) = 1.6291841309771350082105351614919
absolute error = 1e-31
relative error = 6.1380416184156573221670224296885e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.174
y[1] (analytic) = 1.6293793705293046747957453729448
y[1] (numeric) = 1.629379370529304674795745372945
absolute error = 2e-31
relative error = 1.2274612261417665027099523251774e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.175
y[1] (analytic) = 1.6295743236159360175394180485876
y[1] (numeric) = 1.6295743236159360175394180485877
absolute error = 1e-31
relative error = 6.1365718979976001645695114704143e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.176
y[1] (analytic) = 1.6297689911595258729354702265172
y[1] (numeric) = 1.6297689911595258729354702265174
absolute error = 2e-31
relative error = 1.2271677831942717261747483655232e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.177
y[1] (analytic) = 1.6299633740829566204871777067319
y[1] (numeric) = 1.6299633740829566204871777067321
absolute error = 2e-31
relative error = 1.2270214360646182522127982974379e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.178
y[1] (analytic) = 1.6301574733094952598248724547172
y[1] (numeric) = 1.6301574733094952598248724547174
absolute error = 2e-31
relative error = 1.2268753373498707990735160665502e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.179
y[1] (analytic) = 1.6303512897627924874390199100282
y[1] (numeric) = 1.6303512897627924874390199100283
absolute error = 1e-31
relative error = 6.1336474309502630258425825367829e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.18
y[1] (analytic) = 1.6305448243668817730295994667128
y[1] (numeric) = 1.6305448243668817730295994667129
absolute error = 1e-31
relative error = 6.1329194086294825179944717728518e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.181
y[1] (analytic) = 1.6307380780461784354727117761191
y[1] (numeric) = 1.6307380780461784354727117761192
absolute error = 1e-31
relative error = 6.1321926154942123936834697848562e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.182
y[1] (analytic) = 1.630931051725478718405336905402
y[1] (numeric) = 1.6309310517254787184053369054021
absolute error = 1e-31
relative error = 6.1314670472551761752022461745634e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.183
y[1] (analytic) = 1.631123746329958865429167766894
y[1] (numeric) = 1.6311237463299588654291677668942
absolute error = 2e-31
relative error = 1.2261485399253217780808459952275e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.184
y[1] (analytic) = 1.6313161627851741949344436144305
y[1] (numeric) = 1.6313161627851741949344436144307
absolute error = 2e-31
relative error = 1.2260039136652490077526804985686e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.185
y[1] (analytic) = 1.6315083020170581745447087827173
y[1] (numeric) = 1.6315083020170581745447087827175
absolute error = 2e-31
relative error = 1.2258595298150613236494091979512e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.186
y[1] (analytic) = 1.6317001649519214951834222249062
y[1] (numeric) = 1.6317001649519214951834222249064
absolute error = 2e-31
relative error = 1.2257153875196982425767048360099e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.187
y[1] (analytic) = 1.6318917525164511447633437816912
y[1] (numeric) = 1.6318917525164511447633437816914
absolute error = 2e-31
relative error = 1.2255714859247920281815536048403e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.188
y[1] (analytic) = 1.6320830656377094814996234924617
y[1] (numeric) = 1.6320830656377094814996234924619
absolute error = 2e-31
relative error = 1.2254278241766653326735468388156e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.189
y[1] (analytic) = 1.6322741052431333068475206353461
y[1] (numeric) = 1.6322741052431333068475206353463
absolute error = 2e-31
relative error = 1.2252844014223288506151387299976e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.19
y[1] (analytic) = 1.6324648722605329380656795583505
y[1] (numeric) = 1.6324648722605329380656795583507
absolute error = 2e-31
relative error = 1.2251412168094789847577588302401e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.191
y[1] (analytic) = 1.6326553676180912804058897382378
y[1] (numeric) = 1.6326553676180912804058897382381
absolute error = 3e-31
relative error = 1.8374974042297432858511769544573e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.4MB, time=7.12
x[1] = 1.192
y[1] (analytic) = 1.6328455922443628989302578773116
y[1] (numeric) = 1.6328455922443628989302578773119
absolute error = 3e-31
relative error = 1.8372833379036589991257430201836e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.193
y[1] (analytic) = 1.6330355470682730899567202208534
y[1] (numeric) = 1.6330355470682730899567202208537
absolute error = 3e-31
relative error = 1.8370696249605750806343644023037e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.194
y[1] (analytic) = 1.6332252330191169521338236496256
y[1] (numeric) = 1.6332252330191169521338236496259
absolute error = 3e-31
relative error = 1.8368562641261157313517865018892e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.195
y[1] (analytic) = 1.63341465102655845714570447258
y[1] (numeric) = 1.6334146510265584571457044725803
absolute error = 3e-31
relative error = 1.8366432541269164781376281897404e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.196
y[1] (analytic) = 1.6336038020206295200481942147168
y[1] (numeric) = 1.633603802020629520048194214717
absolute error = 2e-31
relative error = 1.2242870624604138534566339664032e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.197
y[1] (analytic) = 1.6337926869317290692369820639096
y[1] (numeric) = 1.6337926869317290692369820639098
absolute error = 2e-31
relative error = 1.2241455210305844355331831319358e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.198
y[1] (analytic) = 1.6339813066906221160487640084583
y[1] (numeric) = 1.6339813066906221160487640084585
absolute error = 2e-31
relative error = 1.2240042109482222079854939665920e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.199
y[1] (analytic) = 1.6341696622284388239963090641411
y[1] (numeric) = 1.6341696622284388239963090641413
absolute error = 2e-31
relative error = 1.2238631313670918861655266841824e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.2
y[1] (analytic) = 1.6343577544766735776383733556231
y[1] (numeric) = 1.6343577544766735776383733556233
absolute error = 2e-31
relative error = 1.2237222814416212094952559586511e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.201
y[1] (analytic) = 1.6345455843671840510853931822298
y[1] (numeric) = 1.63454558436718405108539318223
absolute error = 2e-31
relative error = 1.2235816603268987383146469687599e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.202
y[1] (analytic) = 1.6347331528321902761418885623146
y[1] (numeric) = 1.6347331528321902761418885623147
absolute error = 1e-31
relative error = 6.1172063358933583125351554789676e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.203
y[1] (analytic) = 1.6349204608042737100865091137382
y[1] (numeric) = 1.6349204608042737100865091137383
absolute error = 1e-31
relative error = 6.1165055057667181094011397723587e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.204
y[1] (analytic) = 1.6351075092163763030906544903386
y[1] (numeric) = 1.6351075092163763030906544903387
absolute error = 1e-31
relative error = 6.1158058070398626914093377078107e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.205
y[1] (analytic) = 1.6352942990017995652766019556908
y[1] (numeric) = 1.635294299001799565276601955691
absolute error = 2e-31
relative error = 1.2230214471002684594274726822551e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.206
y[1] (analytic) = 1.6354808310942036334160740359532
y[1] (numeric) = 1.6354808310942036334160740359534
absolute error = 2e-31
relative error = 1.2228819573885914144199676434508e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.207
y[1] (analytic) = 1.6356671064276063372701795531534
y[1] (numeric) = 1.6356671064276063372701795531536
absolute error = 2e-31
relative error = 1.2227426914319492809393837679921e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.208
y[1] (analytic) = 1.6358531259363822655716616988964
y[1] (numeric) = 1.6358531259363822655716616988966
absolute error = 2e-31
relative error = 1.2226036483899956640816372668002e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.209
y[1] (analytic) = 1.6360388905552618316503871661676
y[1] (numeric) = 1.6360388905552618316503871661678
absolute error = 2e-31
relative error = 1.2224648274230277868253578890635e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.21
y[1] (analytic) = 1.6362244012193303387030107136648
y[1] (numeric) = 1.6362244012193303387030107136649
absolute error = 1e-31
relative error = 6.1116311384599219605292503816161e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.211
y[1] (analytic) = 1.6364096588640270447077498929158
y[1] (numeric) = 1.6364096588640270447077498929159
absolute error = 1e-31
relative error = 6.1109392417922182823768519834058e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.212
y[1] (analytic) = 1.6365946644251442269852050233301
y[1] (numeric) = 1.6365946644251442269852050233302
absolute error = 1e-31
relative error = 6.1102484429231055766450327631877e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.213
y[1] (analytic) = 1.6367794188388262464061598542857
y[1] (numeric) = 1.6367794188388262464061598542858
absolute error = 1e-31
relative error = 6.1095587376668379983777203120292e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.214
y[1] (analytic) = 1.6369639230415686112472987063726
y[1] (numeric) = 1.6369639230415686112472987063727
absolute error = 1e-31
relative error = 6.1088701218408359221640341606400e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.215
y[1] (analytic) = 1.6371481779702170406957762359984
y[1] (numeric) = 1.6371481779702170406957762359984
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.216
y[1] (analytic) = 1.6373321845619665280035763187075
y[1] (numeric) = 1.6373321845619665280035763187076
absolute error = 1e-31
relative error = 6.1074961417650797233807015934775e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.217
y[1] (analytic) = 1.6375159437543604032925968967778
y[1] (numeric) = 1.6375159437543604032925968967779
absolute error = 1e-31
relative error = 6.1068107691659059256807696019948e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.218
y[1] (analytic) = 1.6376994564852893960113979859304
y[1] (numeric) = 1.6376994564852893960113979859305
absolute error = 1e-31
relative error = 6.1061264692981381644576283248515e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.219
y[1] (analytic) = 1.6378827236929906970445503843283
y[1] (numeric) = 1.6378827236929906970445503843284
absolute error = 1e-31
relative error = 6.1054432379948760438423613100178e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.4MB, time=7.33
x[1] = 1.22
y[1] (analytic) = 1.6380657463160470204755229744352
y[1] (numeric) = 1.6380657463160470204755229744353
absolute error = 1e-31
relative error = 6.1047610710923250407595717975868e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.221
y[1] (analytic) = 1.6382485252933856650040468547703
y[1] (numeric) = 1.6382485252933856650040468547704
absolute error = 1e-31
relative error = 6.1040799644297866469300733071986e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.222
y[1] (analytic) = 1.6384310615642775750188948841163
y[1] (numeric) = 1.6384310615642775750188948841164
absolute error = 1e-31
relative error = 6.1033999138496485676930097930635e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.223
y[1] (analytic) = 1.6386133560683364013270155653223
y[1] (numeric) = 1.6386133560683364013270155653225
absolute error = 2e-31
relative error = 1.2205441830394749955098377044230e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.224
y[1] (analytic) = 1.6387954097455175615399605394907
y[1] (numeric) = 1.6387954097455175615399605394909
absolute error = 2e-31
relative error = 1.2204085928642993664655751120283e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.225
y[1] (analytic) = 1.6389772235361173001185453040408
y[1] (numeric) = 1.6389772235361173001185453040409
absolute error = 1e-31
relative error = 6.1013660570736022378797671507690e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.226
y[1] (analytic) = 1.6391587983807717480766831099108
y[1] (numeric) = 1.639158798380771748076683109911
absolute error = 2e-31
relative error = 1.2201380378616653750398620705761e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.227
y[1] (analytic) = 1.6393401352204559823453323339869
y[1] (numeric) = 1.6393401352204559823453323339871
absolute error = 2e-31
relative error = 1.2200030713766688963760006146930e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.228
y[1] (analytic) = 1.6395212349964830847974979627314
y[1] (numeric) = 1.6395212349964830847974979627316
absolute error = 2e-31
relative error = 1.2198683111318714779613514209729e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.229
y[1] (analytic) = 1.6397020986505032009352281619323
y[1] (numeric) = 1.6397020986505032009352281619325
absolute error = 2e-31
relative error = 1.2197337563000174237979715915521e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.23
y[1] (analytic) = 1.6398827271245025982395472454977
y[1] (numeric) = 1.6398827271245025982395472454979
absolute error = 2e-31
relative error = 1.2195994060544530054891004367636e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.231
y[1] (analytic) = 1.6400631213608027241842666932846
y[1] (numeric) = 1.6400631213608027241842666932849
absolute error = 3e-31
relative error = 1.8291978893536869051085009543113e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.232
y[1] (analytic) = 1.6402432823020592639146162040725
y[1] (numeric) = 1.6402432823020592639146162040727
absolute error = 2e-31
relative error = 1.2193313160185768590243727027139e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.233
y[1] (analytic) = 1.6404232108912611975916371049707
y[1] (numeric) = 1.6404232108912611975916371049709
absolute error = 2e-31
relative error = 1.2191975745779508384186031131157e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.234
y[1] (analytic) = 1.6406029080717298574032807727899
y[1] (numeric) = 1.6406029080717298574032807727902
absolute error = 3e-31
relative error = 1.8285960516344733103252898685928e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.235
y[1] (analytic) = 1.6407823747871179842431550561994
y[1] (numeric) = 1.6407823747871179842431550561997
absolute error = 3e-31
relative error = 1.8283960420949991220152035910566e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.236
y[1] (analytic) = 1.6409616119814087840578620198444
y[1] (numeric) = 1.6409616119814087840578620198447
absolute error = 3e-31
relative error = 1.8281963320138828407846354168395e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.237
y[1] (analytic) = 1.6411406205989149838638706630091
y[1] (numeric) = 1.6411406205989149838638706630094
absolute error = 3e-31
relative error = 1.8279969201573873992959439740339e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.238
y[1] (analytic) = 1.641319401584277887434868595872
y[1] (numeric) = 1.6413194015842778874348685958722
absolute error = 2e-31
relative error = 1.2185318701951045621682411254549e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.239
y[1] (analytic) = 1.6414979558824664306605369859242
y[1] (numeric) = 1.6414979558824664306605369859244
absolute error = 2e-31
relative error = 1.2183993241251424509511952763036e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.24
y[1] (analytic) = 1.6416762844387762365776934156974
y[1] (numeric) = 1.6416762844387762365776934156976
absolute error = 2e-31
relative error = 1.2182669744076374814844579228537e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.241
y[1] (analytic) = 1.6418543881988286700747476205784
y[1] (numeric) = 1.6418543881988286700747476205786
absolute error = 2e-31
relative error = 1.2181348202224373345119268891373e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.242
y[1] (analytic) = 1.6420322681085698922704154021776
y[1] (numeric) = 1.6420322681085698922704154021778
absolute error = 2e-31
relative error = 1.2180028607499700856203381110156e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.243
y[1] (analytic) = 1.642209925114269914567636338457
y[1] (numeric) = 1.6422099251142699145676363384572
absolute error = 2e-31
relative error = 1.2178710951712424792466093623492e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.244
y[1] (analytic) = 1.6423873601625216523836412366225
y[1] (numeric) = 1.6423873601625216523836412366227
absolute error = 2e-31
relative error = 1.2177395226678382136374675885782e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.245
y[1] (analytic) = 1.6425645742002399785571155986333
y[1] (numeric) = 1.6425645742002399785571155986335
absolute error = 2e-31
relative error = 1.2176081424219162367436192720850e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.246
y[1] (analytic) = 1.6427415681746607764334056920865
y[1] (numeric) = 1.6427415681746607764334056920867
absolute error = 2e-31
relative error = 1.2174769536162090530308023951690e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.247
y[1] (analytic) = 1.6429183430333399926287141411918
y[1] (numeric) = 1.642918343033339992628714141192
absolute error = 2e-31
relative error = 1.2173459554340210411901370834320e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=4.4MB, time=7.54
x[1] = 1.248
y[1] (analytic) = 1.6430948997241526894742322735619
y[1] (numeric) = 1.6430948997241526894742322735621
absolute error = 2e-31
relative error = 1.2172151470592267827302699065961e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.249
y[1] (analytic) = 1.643271239195292097141156778607
y[1] (numeric) = 1.6432712391952920971411567786072
absolute error = 2e-31
relative error = 1.2170845276762694014338840870067e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.25
y[1] (analytic) = 1.643447362395268665447538552438
y[1] (numeric) = 1.6434473623952686654475385524382
absolute error = 2e-31
relative error = 1.2169540964701589136612245200352e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.251
y[1] (analytic) = 1.6436232702729091153479119223505
y[1] (numeric) = 1.6436232702729091153479119223507
absolute error = 2e-31
relative error = 1.2168238526264705894833625470156e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.252
y[1] (analytic) = 1.6437989637773554901066527611811
y[1] (numeric) = 1.6437989637773554901066527611813
absolute error = 2e-31
relative error = 1.2166937953313433246280008419385e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.253
y[1] (analytic) = 1.6439744438580642061560143180992
y[1] (numeric) = 1.6439744438580642061560143180994
absolute error = 2e-31
relative error = 1.2165639237714780232206935795822e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.254
y[1] (analytic) = 1.6441497114648051036397899077194
y[1] (numeric) = 1.6441497114648051036397899077196
absolute error = 2e-31
relative error = 1.2164342371341359913044312467862e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.255
y[1] (analytic) = 1.644324767547660496643551913792
y[1] (numeric) = 1.6443247675476604966435519137922
absolute error = 2e-31
relative error = 1.2163047346071373411206130418341e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.256
y[1] (analytic) = 1.644499613057024223112416877154
y[1] (numeric) = 1.6444996130570242231124168771542
absolute error = 2e-31
relative error = 1.2161754153788594061345027811026e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.257
y[1] (analytic) = 1.6446742489436006944572867500969
y[1] (numeric) = 1.644674248943600694457286750097
absolute error = 1e-31
relative error = 6.0802313931911758339416829944717e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.258
y[1] (analytic) = 1.6448486761584039448505167108291
y[1] (numeric) = 1.6448486761584039448505167108292
absolute error = 1e-31
relative error = 6.0795866178737584348266124368912e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.259
y[1] (analytic) = 1.6450228956527566802119602422881
y[1] (numeric) = 1.6450228956527566802119602422883
absolute error = 2e-31
relative error = 1.2157885493784485611478428804342e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.26
y[1] (analytic) = 1.6451969083782893268863424891765
y[1] (numeric) = 1.6451969083782893268863424891766
absolute error = 1e-31
relative error = 6.0782997761995818612662101979966e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.261
y[1] (analytic) = 1.6453707152869390800129132157692
y[1] (numeric) = 1.6453707152869390800129132157694
absolute error = 2e-31
relative error = 1.2155315403502951601306499538427e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.262
y[1] (analytic) = 1.6455443173309489515883309947615
y[1] (numeric) = 1.6455443173309489515883309947616
absolute error = 1e-31
relative error = 6.0770165195063645035118190959277e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.263
y[1] (analytic) = 1.6457177154628668182237305641911
y[1] (numeric) = 1.6457177154628668182237305641913
absolute error = 2e-31
relative error = 1.2152752450850839957333769208420e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.264
y[1] (analytic) = 1.6458909106355444685969255952916
y[1] (numeric) = 1.6458909106355444685969255952918
absolute error = 2e-31
relative error = 1.2151473630945077732127129011664e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.265
y[1] (analytic) = 1.646063903802136650600699418991
y[1] (numeric) = 1.6460639038021366506006994189912
absolute error = 2e-31
relative error = 1.2150196571228669983302909628700e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.266
y[1] (analytic) = 1.6462366959161001181881365626884
y[1] (numeric) = 1.6462366959161001181881365626886
absolute error = 2e-31
relative error = 1.2148921263640263950331145302673e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.267
y[1] (analytic) = 1.6464092879311926779159482518965
y[1] (numeric) = 1.6464092879311926779159482518967
absolute error = 2e-31
relative error = 1.2147647700123911781446422733244e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.268
y[1] (analytic) = 1.6465816808014722351867453333445
y[1] (numeric) = 1.6465816808014722351867453333447
absolute error = 2e-31
relative error = 1.2146375872629055960312661915616e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.269
y[1] (analytic) = 1.6467538754812958401912123771904
y[1] (numeric) = 1.6467538754812958401912123771906
absolute error = 2e-31
relative error = 1.2145105773110514837998866589646e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.27
y[1] (analytic) = 1.646925872925318733551137016088
y[1] (numeric) = 1.6469258729253187335511370160881
absolute error = 1e-31
relative error = 6.0719186967642341350531947426797e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.271
y[1] (analytic) = 1.6470976740884933916642488779995
y[1] (numeric) = 1.6470976740884933916642488779997
absolute error = 2e-31
relative error = 1.2142570725848443358888897875055e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.272
y[1] (analytic) = 1.647269279926068571751822767837
y[1] (numeric) = 1.6472692799260685717518227678372
absolute error = 2e-31
relative error = 1.2141305762041300300206859430438e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.273
y[1] (analytic) = 1.6474406913935883566100010502475
y[1] (numeric) = 1.6474406913935883566100010502477
absolute error = 2e-31
relative error = 1.2140042494083218335158997051163e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.274
y[1] (analytic) = 1.6476119094468911990657904821418
y[1] (numeric) = 1.647611909446891199065790482142
absolute error = 2e-31
relative error = 1.2138780913955681806233784193779e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.275
y[1] (analytic) = 1.6477829350421089661386890388894
y[1] (numeric) = 1.6477829350421089661386890388896
absolute error = 2e-31
relative error = 1.2137521013645466317824669302626e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.4MB, time=7.74
x[1] = 1.276
y[1] (analytic) = 1.6479537691356659829088985724734
y[1] (numeric) = 1.6479537691356659829088985724735
absolute error = 1e-31
relative error = 6.0681313925723125004766646207549e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.277
y[1] (analytic) = 1.648124412684278076093079433313
y[1] (numeric) = 1.6481244126842780760930794333131
absolute error = 1e-31
relative error = 6.0675031102252374410229285810063e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.278
y[1] (analytic) = 1.6482948666449516173286034799198
y[1] (numeric) = 1.6482948666449516173286034799199
absolute error = 1e-31
relative error = 6.0668756557827916778036950179371e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.279
y[1] (analytic) = 1.6484651319749825661672621920538
y[1] (numeric) = 1.6484651319749825661672621920539
absolute error = 1e-31
relative error = 6.0662490252488773803206375698633e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.28
y[1] (analytic) = 1.6486352096319555127793868935926
y[1] (numeric) = 1.6486352096319555127793868935927
absolute error = 1e-31
relative error = 6.0656232146300085303297315626464e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.281
y[1] (analytic) = 1.6488051005737427203693383809136
y[1] (numeric) = 1.6488051005737427203693383809137
absolute error = 1e-31
relative error = 6.0649982199353043135656989757688e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.282
y[1] (analytic) = 1.6489748057585031673033235412189
y[1] (numeric) = 1.648974805758503167303323541219
absolute error = 1e-31
relative error = 6.0643740371764825631096254558776e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.283
y[1] (analytic) = 1.6491443261446815889504968329071
y[1] (numeric) = 1.6491443261446815889504968329072
absolute error = 1e-31
relative error = 6.0637506623678532543239586362889e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.284
y[1] (analytic) = 1.6493136626910075192383047868113
y[1] (numeric) = 1.6493136626910075192383047868114
absolute error = 1e-31
relative error = 6.0631280915263120512793798339159e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.285
y[1] (analytic) = 1.6494828163564943319230319728772
y[1] (numeric) = 1.6494828163564943319230319728773
absolute error = 1e-31
relative error = 6.0625063206713339045983211861801e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.286
y[1] (analytic) = 1.6496517881004382815765071616572
y[1] (numeric) = 1.6496517881004382815765071616574
absolute error = 2e-31
relative error = 1.2123770691649933401280354933538e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.287
y[1] (analytic) = 1.649820578882417544289928693834
y[1] (numeric) = 1.6498205788824175442899286938341
absolute error = 1e-31
relative error = 6.0612651630118249619535361877524e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.288
y[1] (analytic) = 1.6499891896622912580957683538666
y[1] (numeric) = 1.6499891896622912580957683538667
absolute error = 1e-31
relative error = 6.0606457682590835989210211635809e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.289
y[1] (analytic) = 1.6501576214001985631087133257782
y[1] (numeric) = 1.6501576214001985631087133257784
absolute error = 2e-31
relative error = 1.2120054315192943425045226973708e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.29
y[1] (analytic) = 1.6503258750565576413866060900612
y[1] (numeric) = 1.6503258750565576413866060900613
absolute error = 1e-31
relative error = 6.0594093270562664481435798535316e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.291
y[1] (analytic) = 1.6504939515920647565123424006801
y[1] (numeric) = 1.6504939515920647565123424006802
absolute error = 1e-31
relative error = 6.0587922726732869003534013833055e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.292
y[1] (analytic) = 1.6506618519676932928976877601955
y[1] (numeric) = 1.6506618519676932928976877601957
absolute error = 2e-31
relative error = 1.2116351980969776137164713032304e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.293
y[1] (analytic) = 1.6508295771446927948099730891114
y[1] (numeric) = 1.6508295771446927948099730891116
absolute error = 2e-31
relative error = 1.2115120953061909727245338470986e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.294
y[1] (analytic) = 1.6509971280845880051226305626697
y[1] (numeric) = 1.6509971280845880051226305626699
absolute error = 2e-31
relative error = 1.2113891453707792329762777557529e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.295
y[1] (analytic) = 1.6511645057491779037905308644779
y[1] (numeric) = 1.6511645057491779037905308644781
absolute error = 2e-31
relative error = 1.2112663474997277856624838308674e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.296
y[1] (analytic) = 1.6513317111005347460510833815503
y[1] (numeric) = 1.6513317111005347460510833815505
absolute error = 2e-31
relative error = 1.2111437009025244689910732392916e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.297
y[1] (analytic) = 1.651498745101003100352061139584
y[1] (numeric) = 1.6514987451010031003520611395843
absolute error = 3e-31
relative error = 1.8165318071837376150027349691812e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.298
y[1] (analytic) = 1.6516656087131988860071125505643
y[1] (numeric) = 1.6516656087131988860071125505646
absolute error = 3e-31
relative error = 1.8163482875551783147104921091143e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.299
y[1] (analytic) = 1.6518323029000084105799223171061
y[1] (numeric) = 1.6518323029000084105799223171064
absolute error = 3e-31
relative error = 1.8161649912845912083653250891969e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.3
y[1] (analytic) = 1.6519988286245874069979841092929
y[1] (numeric) = 1.6519988286245874069979841092932
absolute error = 3e-31
relative error = 1.8159819171892055138840366179510e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.301
y[1] (analytic) = 1.6521651868503600703969479001576
y[1] (numeric) = 1.652165186850360070396947900158
absolute error = 4e-31
relative error = 2.4210654187826607793249799362235e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.302
y[1] (analytic) = 1.6523313785410180946965051153801
y[1] (numeric) = 1.6523313785410180946965051153805
absolute error = 4e-31
relative error = 2.4208219077289056625788708756025e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.303
y[1] (analytic) = 1.6524974046605197089087750212337
y[1] (numeric) = 1.6524974046605197089087750212341
absolute error = 4e-31
relative error = 2.4205786881836215395895228901285e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.4MB, time=7.94
x[1] = 1.304
y[1] (analytic) = 1.652663266173088713180156042316
y[1] (numeric) = 1.6526632661730887131801560423164
absolute error = 4e-31
relative error = 2.4203357585737415416629428790235e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.305
y[1] (analytic) = 1.6528289640432135145676059671309
y[1] (numeric) = 1.6528289640432135145676059671313
absolute error = 4e-31
relative error = 2.4200931173271835710760322903946e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.306
y[1] (analytic) = 1.6529944992356461625503152651623
y[1] (numeric) = 1.6529944992356461625503152651627
absolute error = 4e-31
relative error = 2.4198507628728481653492546931961e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.307
y[1] (analytic) = 1.6531598727154013842777380036848
y[1] (numeric) = 1.6531598727154013842777380036853
absolute error = 5e-31
relative error = 3.0245108670507704768125518548059e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.308
y[1] (analytic) = 1.6533250854477556195549451162013
y[1] (numeric) = 1.6533250854477556195549451162017
absolute error = 4e-31
relative error = 2.4193669080613476998991153156850e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.309
y[1] (analytic) = 1.653490138398246055566265037072
y[1] (numeric) = 1.6534901383982460555662650370724
absolute error = 4e-31
relative error = 2.4191254045668779487519965700238e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.31
y[1] (analytic) = 1.6536550325326696613381769786162
y[1] (numeric) = 1.6536550325326696613381769786166
absolute error = 4e-31
relative error = 2.4188841815900172474280428565682e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.311
y[1] (analytic) = 1.653819768817082221942422387711
y[1] (numeric) = 1.6538197688170822219424223877114
absolute error = 4e-31
relative error = 2.4186432375645479703594551413966e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.312
y[1] (analytic) = 1.6539843482177973724403003786957
y[1] (numeric) = 1.6539843482177973724403003786961
absolute error = 4e-31
relative error = 2.4184025709252227304327666545609e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.313
y[1] (analytic) = 1.6541487717013856315691131982065
y[1] (numeric) = 1.6541487717013856315691131982069
absolute error = 4e-31
relative error = 2.4181621801077623821954122296190e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.314
y[1] (analytic) = 1.6543130402346734351717280354146
y[1] (numeric) = 1.654313040234673435171728035415
absolute error = 4e-31
relative error = 2.4179220635488540448000561763294e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.315
y[1] (analytic) = 1.6544771547847421693702217480263
y[1] (numeric) = 1.6544771547847421693702217480266
absolute error = 3e-31
relative error = 1.8132616647646118584945771409326e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.316
y[1] (analytic) = 1.6546411163189272034845753303184
y[1] (numeric) = 1.6546411163189272034845753303188
absolute error = 4e-31
relative error = 2.4174426469582614777845591381835e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.317
y[1] (analytic) = 1.6548049258048169226973852044361
y[1] (numeric) = 1.6548049258048169226973852044364
absolute error = 3e-31
relative error = 1.8129025078535739688343714505450e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.318
y[1] (analytic) = 1.6549685842102517604655586701584
y[1] (numeric) = 1.6549685842102517604655586701587
absolute error = 3e-31
relative error = 1.8127232314996450405975701432511e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.319
y[1] (analytic) = 1.6551320925033232306799611013583
y[1] (numeric) = 1.6551320925033232306799611013586
absolute error = 3e-31
relative error = 1.8125441549880264300750120468349e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.32
y[1] (analytic) = 1.6552954516523729595739827294274
y[1] (numeric) = 1.6552954516523729595739827294276
absolute error = 2e-31
relative error = 1.2082435181003675700977820405884e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.321
y[1] (analytic) = 1.655458662625991717381993105018
y[1] (numeric) = 1.6554586626259917173819931050183
absolute error = 3e-31
relative error = 1.8121865968197677653881302727523e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.322
y[1] (analytic) = 1.6556217263930184497486515795692
y[1] (numeric) = 1.6556217263930184497486515795695
absolute error = 3e-31
relative error = 1.8120081128289369769746494925672e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.323
y[1] (analytic) = 1.655784643922539308890042397223
y[1] (numeric) = 1.6557846439225393088900423972233
absolute error = 3e-31
relative error = 1.8118298240120323222067548538521e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.324
y[1] (analytic) = 1.6559474161838866845076032359169
y[1] (numeric) = 1.6559474161838866845076032359172
absolute error = 3e-31
relative error = 1.8116517292037378136373494681950e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.325
y[1] (analytic) = 1.6561100441466382344558162836429
y[1] (numeric) = 1.6561100441466382344558162836432
absolute error = 3e-31
relative error = 1.8114738272394468227805079086411e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.326
y[1] (analytic) = 1.6562725287806159151646311821005
y[1] (numeric) = 1.6562725287806159151646311821008
absolute error = 3e-31
relative error = 1.8112961169552607733821123165151e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.327
y[1] (analytic) = 1.6564348710558850118175894152408
y[1] (numeric) = 1.6564348710558850118175894152411
absolute error = 3e-31
relative error = 1.8111185971879878492325541818246e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.328
y[1] (analytic) = 1.6565970719427531682866199644962
y[1] (numeric) = 1.6565970719427531682866199644965
absolute error = 3e-31
relative error = 1.8109412667751417165017733401094e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.329
y[1] (analytic) = 1.6567591324117694168244762958188
y[1] (numeric) = 1.6567591324117694168244762958191
absolute error = 3e-31
relative error = 1.8107641245549402605769544603740e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.33
y[1] (analytic) = 1.6569210534337232075157849860106
y[1] (numeric) = 1.6569210534337232075157849860109
absolute error = 3e-31
relative error = 1.8105871693663043373832492713396e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.331
y[1] (analytic) = 1.6570828359796434374876765372148
y[1] (numeric) = 1.6570828359796434374876765372151
absolute error = 3e-31
relative error = 1.8104104000488565391679399884775e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.4MB, time=8.14
x[1] = 1.332
y[1] (analytic) = 1.6572444810207974798809691688573
y[1] (numeric) = 1.6572444810207974798809691688577
absolute error = 4e-31
relative error = 2.4136450872572266329713411518460e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.333
y[1] (analytic) = 1.6574059895286902125828766157741
y[1] (numeric) = 1.6574059895286902125828766157745
absolute error = 4e-31
relative error = 2.4134098858526894187534673157788e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.334
y[1] (analytic) = 1.6575673624750630467222111997338
y[1] (numeric) = 1.6575673624750630467222111997342
absolute error = 4e-31
relative error = 2.4131749276404911299173232220210e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.335
y[1] (analytic) = 1.6577286008318929549280536790744
y[1] (numeric) = 1.6577286008318929549280536790747
absolute error = 3e-31
relative error = 1.8097051583078913088105659318390e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.336
y[1] (analytic) = 1.6578897055713914993528616177001
y[1] (numeric) = 1.6578897055713914993528616177004
absolute error = 3e-31
relative error = 1.8095293009651992136585221379728e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.337
y[1] (analytic) = 1.6580506776660038594609882502518
y[1] (numeric) = 1.6580506776660038594609882502522
absolute error = 4e-31
relative error = 2.4124714967281332815012845030157e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.338
y[1] (analytic) = 1.6582115180884078595835840548494
y[1] (numeric) = 1.6582115180884078595835840548498
absolute error = 4e-31
relative error = 2.4122374958601266006787811400736e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.339
y[1] (analytic) = 1.6583722278115129962408534784235
y[1] (numeric) = 1.6583722278115129962408534784239
absolute error = 4e-31
relative error = 2.4120037304765039493976621473912e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.34
y[1] (analytic) = 1.6585328078084594652326394923001
y[1] (numeric) = 1.6585328078084594652326394923006
absolute error = 5e-31
relative error = 3.0147127487980567533486857344011e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.341
y[1] (analytic) = 1.6586932590526171884983088873713
y[1] (numeric) = 1.6586932590526171884983088873718
absolute error = 5e-31
relative error = 3.0144211250100641033907168717248e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.342
y[1] (analytic) = 1.6588535825175848407469114488854
y[1] (numeric) = 1.6588535825175848407469114488859
absolute error = 5e-31
relative error = 3.0141297898104259045753738074109e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.343
y[1] (analytic) = 1.659013779177188875858586380618
y[1] (numeric) = 1.6590137791771888758585863806185
absolute error = 5e-31
relative error = 3.0138387412790628192930192060533e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.344
y[1] (analytic) = 1.659173850005482553058189576934
y[1] (numeric) = 1.6591738500054825530581895769345
absolute error = 5e-31
relative error = 3.0135479774970405080335448790919e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.345
y[1] (analytic) = 1.6593337959767449628621155690343
y[1] (numeric) = 1.6593337959767449628621155690348
absolute error = 5e-31
relative error = 3.0132574965465679064540665235460e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.346
y[1] (analytic) = 1.6594936180654800527992881984827
y[1] (numeric) = 1.6594936180654800527992881984832
absolute error = 5e-31
relative error = 3.0129672965109955260713340036873e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.347
y[1] (analytic) = 1.6596533172464156529072942969415
y[1] (numeric) = 1.659653317246415652907294296942
absolute error = 5e-31
relative error = 3.0126773754748137785473060648170e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.348
y[1] (analytic) = 1.6598128944945025010046348759012
y[1] (numeric) = 1.6598128944945025010046348759018
absolute error = 6e-31
relative error = 3.6148652778283815882436752560068e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.349
y[1] (analytic) = 1.6599723507849132677400685540719
y[1] (numeric) = 1.6599723507849132677400685540725
absolute error = 6e-31
relative error = 3.6145180352931281280755419584528e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.35
y[1] (analytic) = 1.6601316870930415814200221730106
y[1] (numeric) = 1.6601316870930415814200221730112
absolute error = 6e-31
relative error = 3.6141711206694965056771043120883e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.351
y[1] (analytic) = 1.6602909043945010526150437734946
y[1] (numeric) = 1.6602909043945010526150437734951
absolute error = 5e-31
relative error = 3.0115204430536059934010392229180e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.352
y[1] (analytic) = 1.6604500036651242985462733261044
y[1] (numeric) = 1.6604500036651242985462733261049
absolute error = 5e-31
relative error = 3.0112318883215157563042756518259e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.353
y[1] (analytic) = 1.6606089858809619672529068294664
y[1] (numeric) = 1.6606089858809619672529068294669
absolute error = 5e-31
relative error = 3.0109436011196056498936265869621e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.354
y[1] (analytic) = 1.6607678520182817615416296086076
y[1] (numeric) = 1.6607678520182817615416296086081
absolute error = 5e-31
relative error = 3.0106555795403004420697731173635e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.355
y[1] (analytic) = 1.66092660305356746271899486391
y[1] (numeric) = 1.6609266030535674627189948639105
absolute error = 5e-31
relative error = 3.0103678216771522407494651759814e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.356
y[1] (analytic) = 1.6610852399635179541077237382026
y[1] (numeric) = 1.6610852399635179541077237382031
absolute error = 5e-31
relative error = 3.0100803256248390290788949826771e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.357
y[1] (analytic) = 1.6612437637250462443479033856117
y[1] (numeric) = 1.6612437637250462443479033856122
absolute error = 5e-31
relative error = 3.0097930894791632239276973480549e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.358
y[1] (analytic) = 1.6614021753152784904840597408879
y[1] (numeric) = 1.6614021753152784904840597408884
absolute error = 5e-31
relative error = 3.0095061113370502576325940859353e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.359
y[1] (analytic) = 1.6615604757115530208390819020577
y[1] (numeric) = 1.6615604757115530208390819020582
absolute error = 5e-31
relative error = 3.0092193892965471829597443015203e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=4.4MB, time=8.34
x[1] = 1.36
y[1] (analytic) = 1.6617186658914193576759752523919
y[1] (numeric) = 1.6617186658914193576759752523924
absolute error = 5e-31
relative error = 3.0089329214568213012549056619999e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.361
y[1] (analytic) = 1.6618767468326372396484206598579
y[1] (numeric) = 1.6618767468326372396484206598585
absolute error = 6e-31
relative error = 3.6103760471017905765006647031027e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.362
y[1] (analytic) = 1.6620347195131756440411173034146
y[1] (numeric) = 1.6620347195131756440411173034152
absolute error = 6e-31
relative error = 3.6100328889383561951989787318012e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.363
y[1] (analytic) = 1.6621925849112118088008868857249
y[1] (numeric) = 1.6621925849112118088008868857255
absolute error = 6e-31
relative error = 3.6096900289809064744821304100858e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.364
y[1] (analytic) = 1.6623503440051302543595172011012
y[1] (numeric) = 1.6623503440051302543595172011018
absolute error = 6e-31
relative error = 3.6093474649538034621617092717798e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.365
y[1] (analytic) = 1.6625079977735218052493232357583
y[1] (numeric) = 1.6625079977735218052493232357589
absolute error = 6e-31
relative error = 3.6090051945827456893322657981475e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.366
y[1] (analytic) = 1.6626655471951826115124041847311
y[1] (numeric) = 1.6626655471951826115124041847317
absolute error = 6e-31
relative error = 3.6086632155947666903279276204850e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.367
y[1] (analytic) = 1.6628229932491131699045749761186
y[1] (numeric) = 1.6628229932491131699045749761192
absolute error = 6e-31
relative error = 3.6083215257182335502462098088520e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.368
y[1] (analytic) = 1.6629803369145173448949510986408
y[1] (numeric) = 1.6629803369145173448949510986413
absolute error = 5e-31
relative error = 3.0066501022357045666685923972929e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.369
y[1] (analytic) = 1.6631375791708013894621657328424
y[1] (numeric) = 1.663137579170801389462165732843
absolute error = 6e-31
relative error = 3.6076390042196324188772255488614e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.37
y[1] (analytic) = 1.6632947209975729656881983896453
y[1] (numeric) = 1.6632947209975729656881983896459
absolute error = 6e-31
relative error = 3.6072981680609536645230433737709e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.371
y[1] (analytic) = 1.6634517633746401651507944623374
y[1] (numeric) = 1.663451763374640165150794462338
absolute error = 6e-31
relative error = 3.6069576119404965303888389193446e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.372
y[1] (analytic) = 1.6636087072820105291154552994992
y[1] (numeric) = 1.6636087072820105291154552994998
absolute error = 6e-31
relative error = 3.6066173335932750305305945680943e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.373
y[1] (analytic) = 1.663765553699890068527978606795
y[1] (numeric) = 1.6637655536998900685279786067956
absolute error = 6e-31
relative error = 3.6062773307556285917686308370850e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.374
y[1] (analytic) = 1.6639223036086822838085291850062
y[1] (numeric) = 1.6639223036086822838085291850068
absolute error = 6e-31
relative error = 3.6059376011652207931560516846858e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.375
y[1] (analytic) = 1.664078957988987184448220210156
y[1] (numeric) = 1.6640789579889871844482202101566
absolute error = 6e-31
relative error = 3.6055981425610381327217434381667e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.376
y[1] (analytic) = 1.6642355178216003084091854590607
y[1] (numeric) = 1.6642355178216003084091854590613
absolute error = 6e-31
relative error = 3.6052589526833888214514957850315e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.377
y[1] (analytic) = 1.6643919840875117413291230801546
y[1] (numeric) = 1.6643919840875117413291230801552
absolute error = 6e-31
relative error = 3.6049200292739016044708417202906e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.378
y[1] (analytic) = 1.6645483577679051355312917049631
y[1] (numeric) = 1.6645483577679051355312917049638
absolute error = 7e-31
relative error = 4.2053449317547787109587805073999e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.379
y[1] (analytic) = 1.6647046398441567288409398901458
y[1] (numeric) = 1.6647046398441567288409398901465
absolute error = 7e-31
relative error = 4.2049501349712782587634616824861e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.38
y[1] (analytic) = 1.6648608312978343632091500735982
y[1] (numeric) = 1.6648608312978343632091500735989
absolute error = 7e-31
relative error = 4.2045556411722313190957813998746e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.381
y[1] (analytic) = 1.6650169331106965031450784206866
y[1] (numeric) = 1.6650169331106965031450784206873
absolute error = 7e-31
relative error = 4.2041614477290208009428376201225e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.382
y[1] (analytic) = 1.6651729462646912539575721282947
y[1] (numeric) = 1.6651729462646912539575721282954
absolute error = 7e-31
relative error = 4.2037675520145638345670743216250e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.383
y[1] (analytic) = 1.6653288717419553798071459449827
y[1] (numeric) = 1.6653288717419553798071459449834
absolute error = 7e-31
relative error = 4.2033739514033105857414111163755e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.384
y[1] (analytic) = 1.6654847105248133215692998551996
y[1] (numeric) = 1.6654847105248133215692998552004
absolute error = 8e-31
relative error = 4.8034064494528492587693902944654e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.385
y[1] (analytic) = 1.6656404635957762145101600641513
y[1] (numeric) = 1.6656404635957762145101600641521
absolute error = 8e-31
relative error = 4.8029572857095704992284152906113e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.386
y[1] (analytic) = 1.6657961319375409057754256075989
y[1] (numeric) = 1.6657961319375409057754256075997
absolute error = 8e-31
relative error = 4.8025084502357100729584278773055e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.387
y[1] (analytic) = 1.6659517165329889716936030975612
y[1] (numeric) = 1.665951716532988971693603097562
absolute error = 8e-31
relative error = 4.8020599400376349265984942928046e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.4MB, time=8.55
x[1] = 1.388
y[1] (analytic) = 1.6661072183651857348945123006033
y[1] (numeric) = 1.6661072183651857348945123006042
absolute error = 9e-31
relative error = 5.4018132211388900357524900624242e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.389
y[1] (analytic) = 1.6662626384173792812440454301247
y[1] (numeric) = 1.6662626384173792812440454301255
absolute error = 8e-31
relative error = 4.8011638835030361337122130875898e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.39
y[1] (analytic) = 1.666417977672999476596163217804
y[1] (numeric) = 1.6664179776729994765961632178049
absolute error = 9e-31
relative error = 5.4008058725864672273346598586152e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.391
y[1] (analytic) = 1.6665732371156569833631110121253
y[1] (numeric) = 1.6665732371156569833631110121262
absolute error = 9e-31
relative error = 5.4003027287155561571934578714737e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.392
y[1] (analytic) = 1.6667284177291422769048383336844
y[1] (numeric) = 1.6667284177291422769048383336853
absolute error = 9e-31
relative error = 5.3997999339701529678271555950124e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.393
y[1] (analytic) = 1.6668835204974246617386054977767
y[1] (numeric) = 1.6668835204974246617386054977776
absolute error = 9e-31
relative error = 5.3992974849941862013853634687422e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.394
y[1] (analytic) = 1.667038546404651287569761094576
y[1] (numeric) = 1.6670385464046512875697610945769
absolute error = 9e-31
relative error = 5.3987953784335413314379305852342e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.395
y[1] (analytic) = 1.6671934964351461651446742960458
y[1] (numeric) = 1.6671934964351461651446742960467
absolute error = 9e-31
relative error = 5.3982936109360597198947909191376e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.396
y[1] (analytic) = 1.6673483715734091819268061365681
y[1] (numeric) = 1.667348371573409181926806136569
absolute error = 9e-31
relative error = 5.3977921791515376136963309070116e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.397
y[1] (analytic) = 1.667503172804115117596904091137
y[1] (numeric) = 1.6675031728041151175969040911379
absolute error = 9e-31
relative error = 5.3972910797317251812201064591092e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.398
y[1] (analytic) = 1.6676579011121126593783044508402
y[1] (numeric) = 1.6676579011121126593783044508411
absolute error = 9e-31
relative error = 5.3967903093303255883497384603483e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.399
y[1] (analytic) = 1.6678125574824234171883271702437
y[1] (numeric) = 1.6678125574824234171883271702447
absolute error = 1.0e-30
relative error = 5.9958776273366601268353498465479e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.4
y[1] (analytic) = 1.6679671429002409386167480352036
y[1] (numeric) = 1.6679671429002409386167480352047
absolute error = 1.1e-30
relative error = 6.5948541293645233741303189334710e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.401
y[1] (analytic) = 1.6681216583509297237323331725497
y[1] (numeric) = 1.6681216583509297237323331725508
absolute error = 1.1e-30
relative error = 6.5942432585368926581359977691212e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.402
y[1] (analytic) = 1.6682761048200242397184210950248
y[1] (numeric) = 1.6682761048200242397184210950259
absolute error = 1.1e-30
relative error = 6.5936327735070533012456398393508e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.403
y[1] (analytic) = 1.6684304832932279353385376458159
y[1] (numeric) = 1.668430483293227935338537645817
absolute error = 1.1e-30
relative error = 6.5930226701970066886975951469191e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.404
y[1] (analytic) = 1.6685847947564122552330293769798
y[1] (numeric) = 1.6685847947564122552330293769809
absolute error = 1.1e-30
relative error = 6.5924129445311354414750755793749e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.405
y[1] (analytic) = 1.6687390401956156540477010650472
y[1] (numeric) = 1.6687390401956156540477010650484
absolute error = 1.2e-30
relative error = 7.1910584644758574085833685764534e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.406
y[1] (analytic) = 1.6688932205970426103954432350868
y[1] (numeric) = 1.668893220597042610395443235088
absolute error = 1.2e-30
relative error = 7.1903941198269283668888565724152e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.407
y[1] (analytic) = 1.6690473369470626406518357315184
y[1] (numeric) = 1.6690473369470626406518357315195
absolute error = 1.1e-30
relative error = 6.5905859926781023461226004917926e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.408
y[1] (analytic) = 1.6692013902322093125857135399897
y[1] (numeric) = 1.6692013902322093125857135399908
absolute error = 1.1e-30
relative error = 6.5899777368803567793361687394918e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.409
y[1] (analytic) = 1.6693553814391792588256812296698
y[1] (numeric) = 1.6693553814391792588256812296709
absolute error = 1.1e-30
relative error = 6.5893698383843921836856880333030e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.41
y[1] (analytic) = 1.6695093115548311901635625493609
y[1] (numeric) = 1.669509311554831190163562549362
absolute error = 1.1e-30
relative error = 6.5887622931288636432160089963641e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.411
y[1] (analytic) = 1.6696631815661849086957718738978
y[1] (numeric) = 1.6696631815661849086957718738989
absolute error = 1.1e-30
relative error = 6.5881550970548029398633797322313e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.412
y[1] (analytic) = 1.669816992460420320803594359381
y[1] (numeric) = 1.6698169924604203208035943593821
absolute error = 1.1e-30
relative error = 6.5875482461056180959134089047293e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.413
y[1] (analytic) = 1.6699707452248764499733618268809
y[1] (numeric) = 1.669970745224876449973361826882
absolute error = 1.1e-30
relative error = 6.5869417362270929639404425822706e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.414
y[1] (analytic) = 1.6701244408470504494575115543554
y[1] (numeric) = 1.6701244408470504494575115543564
absolute error = 1.0e-30
relative error = 5.9875777848794426037834981400616e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.415
y[1] (analytic) = 1.6702780803145966147775153156389
y[1] (numeric) = 1.6702780803145966147775153156399
absolute error = 1.0e-30
relative error = 5.9870270213427584264915080855087e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.4MB, time=8.76
x[1] = 1.416
y[1] (analytic) = 1.6704316646153253960696661634929
y[1] (numeric) = 1.6704316646153253960696661634939
absolute error = 1.0e-30
relative error = 5.9864765568263132143363617798460e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.417
y[1] (analytic) = 1.6705851947372024102747106108474
y[1] (numeric) = 1.6705851947372024102747106108485
absolute error = 1.1e-30
relative error = 6.5845190264184016844726467544492e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.418
y[1] (analytic) = 1.67073867166834745317231402052
y[1] (numeric) = 1.6707386716683474531723140205211
absolute error = 1.1e-30
relative error = 6.5839141611630642255490917450071e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.419
y[1] (analytic) = 1.6708920963970335112613471688637
y[1] (numeric) = 1.6708920963970335112613471688648
absolute error = 1.1e-30
relative error = 6.5833096127029650326073253888685e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.42
y[1] (analytic) = 1.6710454699116857734869821029759
y[1] (numeric) = 1.671045469911685773486982102977
absolute error = 1.1e-30
relative error = 6.5827053770005112630076331932696e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.421
y[1] (analytic) = 1.6711987932008806428155855642893
y[1] (numeric) = 1.6711987932008806428155855642904
absolute error = 1.1e-30
relative error = 6.5821014500204843252555456281181e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.422
y[1] (analytic) = 1.6713520672533447476583984035691
y[1] (numeric) = 1.6713520672533447476583984035703
absolute error = 1.2e-30
relative error = 7.1798158120691344290284509654915e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.423
y[1] (analytic) = 1.6715052930579539531449895635557
y[1] (numeric) = 1.6715052930579539531449895635568
absolute error = 1.1e-30
relative error = 6.5808945060987079675023417606643e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.424
y[1] (analytic) = 1.6716584716037323722474733557142
y[1] (numeric) = 1.6716584716037323722474733557153
absolute error = 1.1e-30
relative error = 6.5802914810983929827114950352526e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.425
y[1] (analytic) = 1.6718116038798513767564789067943
y[1] (numeric) = 1.6718116038798513767564789067954
absolute error = 1.1e-30
relative error = 6.5796887487033739625410546044343e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.426
y[1] (analytic) = 1.6719646908756286081098607991456
y[1] (numeric) = 1.6719646908756286081098607991467
absolute error = 1.1e-30
relative error = 6.5790863048903047206183853115259e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.427
y[1] (analytic) = 1.672117733580526988075140075997
y[1] (numeric) = 1.6721177335805269880751400759981
absolute error = 1.1e-30
relative error = 6.5784841456382141082362329252316e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.428
y[1] (analytic) = 1.6722707329841537292866649291767
y[1] (numeric) = 1.6722707329841537292866649291778
absolute error = 1.1e-30
relative error = 6.5778822669285063085070420199766e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.429
y[1] (analytic) = 1.6724236900762593456384805320288
y[1] (numeric) = 1.6724236900762593456384805320299
absolute error = 1.1e-30
relative error = 6.5772806647449611769287476491486e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.43
y[1] (analytic) = 1.6725766058467366625338976245749
y[1] (numeric) = 1.672576605846736662533897624576
absolute error = 1.1e-30
relative error = 6.5766793350737346282946561615797e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.431
y[1] (analytic) = 1.6727294812856198269927496012693
y[1] (numeric) = 1.6727294812856198269927496012704
absolute error = 1.1e-30
relative error = 6.5760782739033590698799569715434e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.432
y[1] (analytic) = 1.6728823173830833176173279940086
y[1] (numeric) = 1.6728823173830833176173279940097
absolute error = 1.1e-30
relative error = 6.5754774772247438808373313919066e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.433
y[1] (analytic) = 1.6730351151294409544179863843771
y[1] (numeric) = 1.6730351151294409544179863843782
absolute error = 1.1e-30
relative error = 6.5748769410311759377340467851279e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.434
y[1] (analytic) = 1.6731878755151449084994029194425
y[1] (numeric) = 1.6731878755151449084994029194436
absolute error = 1.1e-30
relative error = 6.5742766613183201861628442837595e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.435
y[1] (analytic) = 1.6733405995307847116084917447554
y[1] (numeric) = 1.6733405995307847116084917447565
absolute error = 1.1e-30
relative error = 6.5736766340842202583588461872818e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.436
y[1] (analytic) = 1.6734932881670862655449538065606
y[1] (numeric) = 1.6734932881670862655449538065617
absolute error = 1.1e-30
relative error = 6.5730768553292991367546248617191e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.437
y[1] (analytic) = 1.6736459424149108514354576125847
y[1] (numeric) = 1.6736459424149108514354576125858
absolute error = 1.1e-30
relative error = 6.5724773210563598634054885588925e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.438
y[1] (analytic) = 1.6737985632652541388724406771388
y[1] (numeric) = 1.6737985632652541388724406771399
absolute error = 1.1e-30
relative error = 6.5718780272705862952169510395989e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.439
y[1] (analytic) = 1.6739511517092451949185225116501
y[1] (numeric) = 1.6739511517092451949185225116512
absolute error = 1.1e-30
relative error = 6.5712789699795439049062612358598e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.44
y[1] (analytic) = 1.6741037087381454929775201561292
y[1] (numeric) = 1.6741037087381454929775201561303
absolute error = 1.1e-30
relative error = 6.5706801451931806276297764279064e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.441
y[1] (analytic) = 1.6742562353433479215330573804725
y[1] (numeric) = 1.6742562353433479215330573804736
absolute error = 1.1e-30
relative error = 6.5700815489238277532078675481916e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.442
y[1] (analytic) = 1.6744087325163757927557588169101
y[1] (numeric) = 1.6744087325163757927557588169112
absolute error = 1.1e-30
relative error = 6.5694831771862008638789482637160e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.443
y[1] (analytic) = 1.674561201248881850980020416321
y[1] (numeric) = 1.6745612012488818509800204163221
absolute error = 1.1e-30
relative error = 6.5688850259974008175141204357826e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=179.2MB, alloc=4.4MB, time=8.95
x[1] = 1.444
y[1] (analytic) = 1.674713642532647281051347751563
y[1] (numeric) = 1.6747136425326472810513477515641
absolute error = 1.1e-30
relative error = 6.5682870913769147762238274192748e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.445
y[1] (analytic) = 1.6748660573595807165452538203967
y[1] (numeric) = 1.6748660573595807165452538203977
absolute error = 1.0e-30
relative error = 5.9706266994060157093525485892094e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.446
y[1] (analytic) = 1.675018446721717247858708129022
y[1] (numeric) = 1.675018446721717247858708129023
absolute error = 1.0e-30
relative error = 5.9700835053916103339450018784262e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.447
y[1] (analytic) = 1.6751708116112174301751289646973
y[1] (numeric) = 1.6751708116112174301751289646983
absolute error = 1.0e-30
relative error = 5.9695404974145724879418901911255e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.448
y[1] (analytic) = 1.6753231530203662913039108923645
y[1] (numeric) = 1.6753231530203662913039108923655
absolute error = 1.0e-30
relative error = 5.9689976718649417809499064888844e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.449
y[1] (analytic) = 1.6754754719415723393954796356705
y[1] (numeric) = 1.6754754719415723393954796356715
absolute error = 1.0e-30
relative error = 5.9684550251349324823430944833790e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.45
y[1] (analytic) = 1.675627769367366570532866627248
y[1] (numeric) = 1.675627769367366570532866627249
absolute error = 1.0e-30
relative error = 5.9679125536189347026373907253385e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.451
y[1] (analytic) = 1.6757800462904014762007956365975
y[1] (numeric) = 1.6757800462904014762007956365985
absolute error = 1.0e-30
relative error = 5.9673702537135156156912962043629e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.452
y[1] (analytic) = 1.6759323037034500506332740064018
y[1] (numeric) = 1.6759323037034500506332740064027
absolute error = 9e-31
relative error = 5.3701453096356786495025526917305e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.453
y[1] (analytic) = 1.6760845425994047980406811495985
y[1] (numeric) = 1.6760845425994047980406811495994
absolute error = 9e-31
relative error = 5.3696575388984176356355734429055e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.454
y[1] (analytic) = 1.6762367639712767397173470800403
y[1] (numeric) = 1.6762367639712767397173470800412
absolute error = 9e-31
relative error = 5.3691699128931765064841517905406e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.455
y[1] (analytic) = 1.6763889688121944210306138690803
y[1] (numeric) = 1.6763889688121944210306138690812
absolute error = 9e-31
relative error = 5.3686824283847148792384837457428e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.456
y[1] (analytic) = 1.6765411581154029182923730389394
y[1] (numeric) = 1.6765411581154029182923730389403
absolute error = 9e-31
relative error = 5.3681950821397577771593882689028e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.457
y[1] (analytic) = 1.6766933328742628455140720212351
y[1] (numeric) = 1.676693332874262845514072021236
absolute error = 9e-31
relative error = 5.3677078709269969488225306699133e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.458
y[1] (analytic) = 1.6768454940822493610461829255825
y[1] (numeric) = 1.6768454940822493610461829255834
absolute error = 9e-31
relative error = 5.3672207915170922237060506336803e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.459
y[1] (analytic) = 1.6769976427329511741031269787158
y[1] (numeric) = 1.6769976427329511741031269787166
absolute error = 8e-31
relative error = 4.7704300806068203591680162564908e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.46
y[1] (analytic) = 1.6771497798200695511746481091234
y[1] (numeric) = 1.6771497798200695511746481091242
absolute error = 8e-31
relative error = 4.7699973468429681715804732588973e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.461
y[1] (analytic) = 1.6773019063374173223246292657403
y[1] (numeric) = 1.6773019063374173223246292657412
absolute error = 9e-31
relative error = 5.3657603118406636588791639680799e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.462
y[1] (analytic) = 1.6774540232789178873783451717983
y[1] (numeric) = 1.6774540232789178873783451717991
absolute error = 8e-31
relative error = 4.7691322021228379870509648966203e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.463
y[1] (analytic) = 1.677606131638604221999145326498
y[1] (numeric) = 1.6776061316386042219991453264988
absolute error = 8e-31
relative error = 4.7686997854412873408667671663111e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.464
y[1] (analytic) = 1.6777582324106178836555611777382
y[1] (numeric) = 1.6777582324106178836555611777391
absolute error = 9e-31
relative error = 5.3643009023229290382027710883585e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.465
y[1] (analytic) = 1.6779103265892080174798314987118
y[1] (numeric) = 1.6779103265892080174798314987127
absolute error = 9e-31
relative error = 5.3638146552771124675913739818242e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.466
y[1] (analytic) = 1.6780624151687303620188401097589
y[1] (numeric) = 1.6780624151687303620188401097598
absolute error = 9e-31
relative error = 5.3633285142704561666504985556297e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.467
y[1] (analytic) = 1.6782144991436462548784601944592
y[1] (numeric) = 1.67821449914364625487846019446
absolute error = 8e-31
relative error = 4.7669710898590219222196457511301e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.468
y[1] (analytic) = 1.6783665795085216382622995655335
y[1] (numeric) = 1.6783665795085216382622995655344
absolute error = 9e-31
relative error = 5.3623565375303661051919134785263e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.469
y[1] (analytic) = 1.6785186572580260644058413417291
y[1] (numeric) = 1.6785186572580260644058413417299
absolute error = 8e-31
relative error = 4.7661072847820124615818832994111e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.47
y[1] (analytic) = 1.6786707333869317009069746014624
y[1] (numeric) = 1.6786707333869317009069746014632
absolute error = 8e-31
relative error = 4.7656755079413236364212906668905e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.471
y[1] (analytic) = 1.6788228088901123359539096826085
y[1] (numeric) = 1.6788228088901123359539096826093
absolute error = 8e-31
relative error = 4.7652438111017119919366404062814e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.4MB, time=9.15
x[1] = 1.472
y[1] (analytic) = 1.6789748847625423834514729004364
y[1] (numeric) = 1.6789748847625423834514729004373
absolute error = 9e-31
relative error = 5.3604137153444502325356272132608e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.473
y[1] (analytic) = 1.6791269619992958880467755573151
y[1] (numeric) = 1.679126961999295888046775557316
absolute error = 9e-31
relative error = 5.3599282267994300656896453136251e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.474
y[1] (analytic) = 1.679279041595545530055252218436
y[1] (numeric) = 1.6792790415955455300552522184369
absolute error = 9e-31
relative error = 5.3594428186567284059625583620282e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.475
y[1] (analytic) = 1.6794311245465616302880633274325
y[1] (numeric) = 1.6794311245465616302880633274334
absolute error = 9e-31
relative error = 5.3589574877207047991251515443269e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.476
y[1] (analytic) = 1.6795832118477111547818573344103
y[1] (numeric) = 1.6795832118477111547818573344112
absolute error = 9e-31
relative error = 5.3584722307977174209584021673281e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.477
y[1] (analytic) = 1.6797353044944567194318876065432
y[1] (numeric) = 1.6797353044944567194318876065441
absolute error = 9e-31
relative error = 5.3579870446961251122938828368749e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.478
y[1] (analytic) = 1.6798874034823555945294794880351
y[1] (numeric) = 1.679887403482355594529479488036
absolute error = 9e-31
relative error = 5.3575019262262894492234528633218e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.479
y[1] (analytic) = 1.6800395098070587092048429718975
y[1] (numeric) = 1.6800395098070587092048429718984
absolute error = 9e-31
relative error = 5.3570168722005768484181744341667e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.48
y[1] (analytic) = 1.6801916244643096557762265406478
y[1] (numeric) = 1.6801916244643096557762265406487
absolute error = 9e-31
relative error = 5.3565318794333607074962495371716e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.481
y[1] (analytic) = 1.6803437484499436940064078266906
y[1] (numeric) = 1.6803437484499436940064078266914
absolute error = 8e-31
relative error = 4.7609306175475765158930058300239e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.482
y[1] (analytic) = 1.6804958827598867552675168358087
y[1] (numeric) = 1.6804958827598867552675168358096
absolute error = 9e-31
relative error = 5.3555620649419593875788219277770e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.483
y[1] (analytic) = 1.6806480283901544466151875688586
y[1] (numeric) = 1.6806480283901544466151875688595
absolute error = 9e-31
relative error = 5.3550772368565756613452171289484e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.484
y[1] (analytic) = 1.6808001863368510547730339674336
y[1] (numeric) = 1.6808001863368510547730339674345
absolute error = 9e-31
relative error = 5.3545924573072958256302248814627e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.485
y[1] (analytic) = 1.6809523575961685500284461989382
y[1] (numeric) = 1.680952357596168550028446198939
absolute error = 8e-31
relative error = 4.7592068649942768984801957940709e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.486
y[1] (analytic) = 1.6811045431643855900407033851922
y[1] (numeric) = 1.681104543164385590040703385193
absolute error = 8e-31
relative error = 4.7587760276594088026455672193307e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.487
y[1] (analytic) = 1.6812567440378665235623989663707
y[1] (numeric) = 1.6812567440378665235623989663715
absolute error = 8e-31
relative error = 4.7583452250049787805754195741760e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.488
y[1] (analytic) = 1.6814089612130603940751749787701
y[1] (numeric) = 1.681408961213060394075174978771
absolute error = 9e-31
relative error = 5.3526537609903706706457978499259e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.489
y[1] (analytic) = 1.6815611956864999433407616105837
y[1] (numeric) = 1.6815611956864999433407616105846
absolute error = 9e-31
relative error = 5.3521691765286818262732859981869e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.49
y[1] (analytic) = 1.6817134484548006148683184845637
y[1] (numeric) = 1.6817134484548006148683184845646
absolute error = 9e-31
relative error = 5.3516846215801031898057609744581e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.491
y[1] (analytic) = 1.6818657205146595572990742001458
y[1] (numeric) = 1.6818657205146595572990742001467
absolute error = 9e-31
relative error = 5.3512000929812361768854604470226e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.492
y[1] (analytic) = 1.6820180128628546277092607503139
y[1] (numeric) = 1.6820180128628546277092607503147
absolute error = 8e-31
relative error = 4.7561916333961934046471000276506e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.493
y[1] (analytic) = 1.682170326496243394832339510186
y[1] (numeric) = 1.6821703264962433948323395101869
absolute error = 9e-31
relative error = 5.3502311021892221600822905195408e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.494
y[1] (analytic) = 1.6823226624117621422015155750152
y[1] (numeric) = 1.6823226624117621422015155750161
absolute error = 9e-31
relative error = 5.3497466336794652688812182037879e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.495
y[1] (analytic) = 1.6824750216064248712135373050044
y[1] (numeric) = 1.6824750216064248712135373050053
absolute error = 9e-31
relative error = 5.3492621788862055100201614645340e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.496
y[1] (analytic) = 1.682627405077322304114778013056
y[1] (numeric) = 1.6826274050773223041147780130569
absolute error = 9e-31
relative error = 5.3487777346562474307011279303406e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.497
y[1] (analytic) = 1.682779813821620886910596809289
y[1] (numeric) = 1.6827798138216208869105968092899
absolute error = 9e-31
relative error = 5.3482932978384442487794312156410e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.498
y[1] (analytic) = 1.682932248836561792198975692881
y[1] (numeric) = 1.6829322488365617921989756928819
absolute error = 9e-31
relative error = 5.3478088652837006135500095616280e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.499
y[1] (analytic) = 1.6830847111194599219294300575146
y[1] (numeric) = 1.6830847111194599219294300575155
absolute error = 9e-31
relative error = 5.3473244338449754004102206215824e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.4MB, time=9.36
x[1] = 1.5
y[1] (analytic) = 1.6832372016677029100881898514343
y[1] (numeric) = 1.6832372016677029100881898514352
absolute error = 9e-31
relative error = 5.3468400003772845393357896620723e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.501
y[1] (analytic) = 1.68338972147875012531064870685
y[1] (numeric) = 1.6833897214787501253106487068509
absolute error = 9e-31
relative error = 5.3463555617377038771064175994266e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.502
y[1] (analytic) = 1.6835422715501316734220784261545
y[1] (numeric) = 1.6835422715501316734220784261554
absolute error = 9e-31
relative error = 5.3458711147853720732173830631901e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.503
y[1] (analytic) = 1.6836948528794473999076062841581
y[1] (numeric) = 1.683694852879447399907606284159
absolute error = 9e-31
relative error = 5.3453866563814935294132990811303e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.504
y[1] (analytic) = 1.6838474664643658923124526762785
y[1] (numeric) = 1.6838474664643658923124526762794
absolute error = 9e-31
relative error = 5.3449021833893413527800100200864e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.505
y[1] (analytic) = 1.684000113302623482573426712367
y[1] (numeric) = 1.684000113302623482573426712368
absolute error = 1.0e-30
relative error = 5.9382418807491781692560423330941e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.506
y[1] (analytic) = 1.684152794392023249282677424591
y[1] (numeric) = 1.6841527943920232492826774245919
absolute error = 9e-31
relative error = 5.3439331811036700690200111290484e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.507
y[1] (analytic) = 1.6843055107304340198846983255382
y[1] (numeric) = 1.6843055107304340198846983255391
absolute error = 9e-31
relative error = 5.3434486455470678391271241019011e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.508
y[1] (analytic) = 1.6844582633157893728075831194565
y[1] (numeric) = 1.6844582633157893728075831194574
absolute error = 9e-31
relative error = 5.3429640828760318909339069412828e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.509
y[1] (analytic) = 1.6846110531460866395295304352888
y[1] (numeric) = 1.6846110531460866395295304352898
absolute error = 1.0e-30
relative error = 5.9360883221824716384915433298311e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.51
y[1] (analytic) = 1.6847638812193859065815955149162
y[1] (numeric) = 1.6847638812193859065815955149171
absolute error = 9e-31
relative error = 5.3419948636873950254609678969806e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.511
y[1] (analytic) = 1.6849167485338090174876868537732
y[1] (numeric) = 1.6849167485338090174876868537741
absolute error = 9e-31
relative error = 5.3415102009233833597959060301936e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.512
y[1] (analytic) = 1.6850696560875385746428058537574
y[1] (numeric) = 1.6850696560875385746428058537583
absolute error = 9e-31
relative error = 5.3410254985521229044823922938958e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.513
y[1] (analytic) = 1.6852226048788169411305276101085
y[1] (numeric) = 1.6852226048788169411305276101094
absolute error = 9e-31
relative error = 5.3405407534556439589895198056221e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.514
y[1] (analytic) = 1.6853755959059452424807210146942
y[1] (numeric) = 1.6853755959059452424807210146951
absolute error = 9e-31
relative error = 5.3400559625180769905333420296804e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.515
y[1] (analytic) = 1.6855286301672823683685064178989
y[1] (numeric) = 1.6855286301672823683685064178997
absolute error = 8e-31
relative error = 4.7462854423339164106950935442875e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.516
y[1] (analytic) = 1.6856817086612439742554491500745
y[1] (numeric) = 1.6856817086612439742554491500754
absolute error = 9e-31
relative error = 5.3390862306667216928365643975289e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.517
y[1] (analytic) = 1.6858348323863014829739872612776
y[1] (numeric) = 1.6858348323863014829739872612784
absolute error = 8e-31
relative error = 4.7454233631393113352636422176271e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.518
y[1] (analytic) = 1.6859880023409810862560918947796
y[1] (numeric) = 1.6859880023409810862560918947805
absolute error = 9e-31
relative error = 5.3381162781132313852181398969903e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.519
y[1] (analytic) = 1.6861412195238627462071587656097
y[1] (numeric) = 1.6861412195238627462071587656106
absolute error = 9e-31
relative error = 5.3376312113059219717730157552072e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.52
y[1] (analytic) = 1.6862944849335791967261292701527
y[1] (numeric) = 1.6862944849335791967261292701536
absolute error = 9e-31
relative error = 5.3371460800065995174170475197156e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.521
y[1] (analytic) = 1.6864477995688149448728398065994
y[1] (numeric) = 1.6864477995688149448728398066003
absolute error = 9e-31
relative error = 5.3366608811141906771251275006274e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.522
y[1] (analytic) = 1.6866011644283052721835979388165
y[1] (numeric) = 1.6866011644283052721835979388174
absolute error = 9e-31
relative error = 5.3361756115297498112507370044484e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.523
y[1] (analytic) = 1.6867545805108352359359840879762
y[1] (numeric) = 1.6867545805108352359359840879771
absolute error = 9e-31
relative error = 5.3356902681564625738173239375294e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.524
y[1] (analytic) = 1.6869080488152386703638774870614
y[1] (numeric) = 1.6869080488152386703638774870622
absolute error = 8e-31
relative error = 4.7424043092441329182655545738039e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.525
y[1] (analytic) = 1.6870615703403971878237051831361
y[1] (numeric) = 1.6870615703403971878237051831369
absolute error = 8e-31
relative error = 4.7419727534815731769518290306963e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.526
y[1] (analytic) = 1.6872151460852391799129129210503
y[1] (numeric) = 1.6872151460852391799129129210512
absolute error = 9e-31
relative error = 5.3342337643674248337156347015368e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.527
y[1] (analytic) = 1.6873687770487388185416567900242
y[1] (numeric) = 1.6873687770487388185416567900251
absolute error = 9e-31
relative error = 5.3337480949133619173605877714147e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.4MB, time=9.56
x[1] = 1.528
y[1] (analytic) = 1.6875224642299150569587145613365
y[1] (numeric) = 1.6875224642299150569587145613374
absolute error = 9e-31
relative error = 5.3332623362184781477330079010249e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.529
y[1] (analytic) = 1.6876762086278306307326156911238
y[1] (numeric) = 1.6876762086278306307326156911247
absolute error = 9e-31
relative error = 5.3327764851988240956120422256258e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.53
y[1] (analytic) = 1.6878300112415910586889890070761
y[1] (numeric) = 1.687830011241591058688989007077
absolute error = 9e-31
relative error = 5.3322905387726076423585088951908e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.531
y[1] (analytic) = 1.6879838730703436438051271415984
y[1] (numeric) = 1.6879838730703436438051271415993
absolute error = 9e-31
relative error = 5.3318044938601978242035740353555e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.532
y[1] (analytic) = 1.6881377951132764740627668167907
y[1] (numeric) = 1.6881377951132764740627668167916
absolute error = 9e-31
relative error = 5.3313183473841287082268002265815e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.533
y[1] (analytic) = 1.6882917783696174232600841283823
y[1] (numeric) = 1.6882917783696174232600841283832
absolute error = 9e-31
relative error = 5.3308320962691032999539143076012e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.534
y[1] (analytic) = 1.6884458238386331517839040165425
y[1] (numeric) = 1.6884458238386331517839040165434
absolute error = 9e-31
relative error = 5.3303457374419974825044294822910e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.535
y[1] (analytic) = 1.6885999325196281073431231512747
y[1] (numeric) = 1.6885999325196281073431231512756
absolute error = 9e-31
relative error = 5.3298592678318639872190427248050e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.536
y[1] (analytic) = 1.6887541054119435256643454988875
y[1] (numeric) = 1.6887541054119435256643454988884
absolute error = 9e-31
relative error = 5.3293726843699363956965133431168e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.537
y[1] (analytic) = 1.6889083435149564311507298738242
y[1] (numeric) = 1.6889083435149564311507298738251
absolute error = 9e-31
relative error = 5.3288859839896331731695122830920e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.538
y[1] (analytic) = 1.68906264782807863750504881692
y[1] (numeric) = 1.6890626478280786375050488169209
absolute error = 9e-31
relative error = 5.3283991636265617331487143409375e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.539
y[1] (analytic) = 1.6892170193507557483179581769444
y[1] (numeric) = 1.6892170193507557483179581769453
absolute error = 9e-31
relative error = 5.3279122202185225332641869084375e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.54
y[1] (analytic) = 1.6893714590824661576224768070764
y[1] (numeric) = 1.6893714590824661576224768070773
absolute error = 9e-31
relative error = 5.3274251507055132022329092099036e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.541
y[1] (analytic) = 1.6895259680227200504156758217488
y[1] (numeric) = 1.6895259680227200504156758217497
absolute error = 9e-31
relative error = 5.3269379520297326978810352093994e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.542
y[1] (analytic) = 1.6896805471710584031485768920898
y[1] (numeric) = 1.6896805471710584031485768920908
absolute error = 1.0e-30
relative error = 5.9182784679284283290547683096722e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.543
y[1] (analytic) = 1.6898351975270519841852590899802
y[1] (numeric) = 1.6898351975270519841852590899812
absolute error = 1.0e-30
relative error = 5.9177368388552064566774203643066e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.544
y[1] (analytic) = 1.6899899200903003542321738215351
y[1] (numeric) = 1.6899899200903003542321738215361
absolute error = 1.0e-30
relative error = 5.9171950560898464946904649092717e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.545
y[1] (analytic) = 1.6901447158604308667386674206134
y[1] (numeric) = 1.6901447158604308667386674206144
absolute error = 1.0e-30
relative error = 5.9166531162446223020598576783735e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.546
y[1] (analytic) = 1.6902995858370976682697110017483
y[1] (numeric) = 1.6902995858370976682697110017492
absolute error = 9e-31
relative error = 5.3244999143408495465039109512513e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.547
y[1] (analytic) = 1.690454531019980698851837199685
y[1] (numeric) = 1.6904545310199806988518371996859
absolute error = 9e-31
relative error = 5.3240118765984262501350189878426e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.548
y[1] (analytic) = 1.6906095524087846922932834495078
y[1] (numeric) = 1.6906095524087846922932834495087
absolute error = 9e-31
relative error = 5.3235236883506174624651520138462e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.549
y[1] (analytic) = 1.690764651003238176479341487127
y[1] (numeric) = 1.6907646510032381764793414871279
absolute error = 9e-31
relative error = 5.3230353465573861658301694115834e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.55
y[1] (analytic) = 1.6909198278030924736439127746956
y[1] (numeric) = 1.6909198278030924736439127746964
absolute error = 8e-31
relative error = 4.7311527539386093150661436165686e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.551
y[1] (analytic) = 1.6910750838081207006182695793146
y[1] (numeric) = 1.6910750838081207006182695793154
absolute error = 8e-31
relative error = 4.7307183912761894435731288129310e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.552
y[1] (analytic) = 1.691230420018116769058021456185
y[1] (numeric) = 1.6912304200181167690580214561859
absolute error = 9e-31
relative error = 5.3215693695384159165643624587852e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.553
y[1] (analytic) = 1.6913858374328943856492869091546
y[1] (numeric) = 1.6913858374328943856492869091554
absolute error = 8e-31
relative error = 4.7298492295182171515215060612421e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.554
y[1] (analytic) = 1.6915413370522860522950700224051
y[1] (numeric) = 1.691541337052286052295070022406
absolute error = 9e-31
relative error = 5.3205912281656568755809481155387e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.555
y[1] (analytic) = 1.6916969198761420662828418768213
y[1] (numeric) = 1.6916969198761420662828418768221
absolute error = 8e-31
relative error = 4.7289794678976666963989453218884e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=194.5MB, alloc=4.4MB, time=9.77
x[1] = 1.556
y[1] (analytic) = 1.6918525869043295204343265833744
y[1] (numeric) = 1.6918525869043295204343265833752
absolute error = 8e-31
relative error = 4.7285443554145666865538029760232e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.557
y[1] (analytic) = 1.6920083391367313032384917836536
y[1] (numeric) = 1.6920083391367313032384917836544
absolute error = 8e-31
relative error = 4.7281090849006267710645039008339e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.558
y[1] (analytic) = 1.6921641775732450989687434844695
y[1] (numeric) = 1.6921641775732450989687434844702
absolute error = 7e-31
relative error = 4.1367144469627007813943549879433e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.559
y[1] (analytic) = 1.6923201032137823877853251092519
y[1] (numeric) = 1.6923201032137823877853251092526
absolute error = 7e-31
relative error = 4.1363333016648120441869731811932e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.56
y[1] (analytic) = 1.6924761170582674458239206637609
y[1] (numeric) = 1.6924761170582674458239206637616
absolute error = 7e-31
relative error = 4.1359520110492694416354065304027e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.561
y[1] (analytic) = 1.6926322201066363452714619274229
y[1] (numeric) = 1.6926322201066363452714619274236
absolute error = 7e-31
relative error = 4.1355705727727420127375977266080e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.562
y[1] (analytic) = 1.692788413358835954430139594402
y[1] (numeric) = 1.6927884133588359544301395944026
absolute error = 6e-31
relative error = 3.5444477009945865728736492017815e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.563
y[1] (analytic) = 1.6929446978148229377706183003121
y[1] (numeric) = 1.6929446978148229377706183003127
absolute error = 6e-31
relative error = 3.5441204947477202361658748332694e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.564
y[1] (analytic) = 1.6931010744745627559754554812718
y[1] (numeric) = 1.6931010744745627559754554812724
absolute error = 6e-31
relative error = 3.5437931559177829411268213013569e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.565
y[1] (analytic) = 1.6932575443380286659737240217992
y[1] (numeric) = 1.6932575443380286659737240217998
absolute error = 6e-31
relative error = 3.5434656825023465080277594765291e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.566
y[1] (analytic) = 1.6934141084052007209678386568407
y[1] (numeric) = 1.6934141084052007209678386568413
absolute error = 6e-31
relative error = 3.5431380725005261964749077144924e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.567
y[1] (analytic) = 1.693570767676064770453586101025
y[1] (numeric) = 1.6935707676760647704535861010256
absolute error = 6e-31
relative error = 3.5428103239129839985028351942164e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.568
y[1] (analytic) = 1.6937275231506114602343588850274
y[1] (numeric) = 1.693727523150611460234358885028
absolute error = 6e-31
relative error = 3.5424824347419319510278458597143e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.569
y[1] (analytic) = 1.6938843758288352324305928847284
y[1] (numeric) = 1.693884375828835232430592884729
absolute error = 6e-31
relative error = 3.5421544029911354676093486358673e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.57
y[1] (analytic) = 1.6940413267107333254854085336454
y[1] (numeric) = 1.6940413267107333254854085336459
absolute error = 5e-31
relative error = 2.9515218555549305745558774973324e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.571
y[1] (analytic) = 1.6941983767963047741674557129123
y[1] (numeric) = 1.6941983767963047741674557129128
absolute error = 5e-31
relative error = 2.9512482531442982130847181509927e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.572
y[1] (analytic) = 1.6943555270855494095719623158802
y[1] (numeric) = 1.6943555270855494095719623158808
absolute error = 6e-31
relative error = 3.5411694323213046926665653778097e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.573
y[1] (analytic) = 1.6945127785784668591209864862058
y[1] (numeric) = 1.6945127785784668591209864862064
absolute error = 6e-31
relative error = 3.5408408103203698224378730516963e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.574
y[1] (analytic) = 1.6946701322750555465638725290926
y[1] (numeric) = 1.6946701322750555465638725290932
absolute error = 6e-31
relative error = 3.5405120357819361903299482523319e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.575
y[1] (analytic) = 1.6948275891753116919789104951459
y[1] (numeric) = 1.6948275891753116919789104951465
absolute error = 6e-31
relative error = 3.5401831067191605114034452449191e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.576
y[1] (analytic) = 1.6949851502792283117771994350984
y[1] (numeric) = 1.694985150279228311777199435099
absolute error = 6e-31
relative error = 3.5398540211467767359126743401681e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.577
y[1] (analytic) = 1.6951428165867942187097143214598
y[1] (numeric) = 1.6951428165867942187097143214604
absolute error = 6e-31
relative error = 3.5395247770810995336389523719764e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.578
y[1] (analytic) = 1.6953005890979930218785766299399
y[1] (numeric) = 1.6953005890979930218785766299404
absolute error = 5e-31
relative error = 2.9493294771166898308803532429873e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.579
y[1] (analytic) = 1.6954584688128021267535285692917
y[1] (numeric) = 1.6954584688128021267535285692922
absolute error = 5e-31
relative error = 2.9490548379525401360638890138250e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.58
y[1] (analytic) = 1.6956164567311917351946109430173
y[1] (numeric) = 1.6956164567311917351946109430178
absolute error = 5e-31
relative error = 2.9487800617593654622651866658798e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.581
y[1] (analytic) = 1.695774553853123845482044620174
y[1] (numeric) = 1.6957745538531238454820446201746
absolute error = 6e-31
relative error = 3.5382061762672717384470293643451e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.582
y[1] (analytic) = 1.6959327611785512523543155853176
y[1] (numeric) = 1.6959327611785512523543155853182
absolute error = 6e-31
relative error = 3.5378761100354189041335239266683e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.583
y[1] (analytic) = 1.6960910797074165470554635294129
y[1] (numeric) = 1.6960910797074165470554635294134
absolute error = 5e-31
relative error = 2.9479548945346277171434025951899e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=198.3MB, alloc=4.4MB, time=9.98
x[1] = 1.584
y[1] (analytic) = 1.6962495104396511173925739343403
y[1] (numeric) = 1.6962495104396511173925739343409
absolute error = 6e-31
relative error = 3.5372154645131536507082024417270e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.585
y[1] (analytic) = 1.696408054375174147804473593424
y[1] (numeric) = 1.6964080543751741478044735934246
absolute error = 6e-31
relative error = 3.5368848812793081851187136564539e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.586
y[1] (analytic) = 1.6965667125138916194426294992002
y[1] (numeric) = 1.6965667125138916194426294992008
absolute error = 6e-31
relative error = 3.5365541217707178938901280617032e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.587
y[1] (analytic) = 1.6967254858556953102652510174464
y[1] (numeric) = 1.696725485855695310265251017447
absolute error = 6e-31
relative error = 3.5362231840197003968400277935002e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.588
y[1] (analytic) = 1.6968843754004617951455952532836
y[1] (numeric) = 1.6968843754004617951455952532843
absolute error = 7e-31
relative error = 4.1252074104035591906972909655907e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.589
y[1] (analytic) = 1.697043382148051445995475500965
y[1] (numeric) = 1.6970433821480514459954755009656
absolute error = 6e-31
relative error = 3.5355607659277593624884271438838e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.59
y[1] (analytic) = 1.6972025070983074319049726537566
y[1] (numeric) = 1.6972025070983074319049726537572
absolute error = 6e-31
relative error = 3.5352292816595873011662860637293e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.591
y[1] (analytic) = 1.6973617512510547192993494341187
y[1] (numeric) = 1.6973617512510547192993494341193
absolute error = 6e-31
relative error = 3.5348976112944984539388968856244e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.592
y[1] (analytic) = 1.6975211156060990721141672871868
y[1] (numeric) = 1.6975211156060990721141672871874
absolute error = 6e-31
relative error = 3.5345657528729490807289265706000e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.593
y[1] (analytic) = 1.6976806011632260519896057623548
y[1] (numeric) = 1.6976806011632260519896057623554
absolute error = 6e-31
relative error = 3.5342337044370344346157393899957e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.594
y[1] (analytic) = 1.697840208922200018484984188556
y[1] (numeric) = 1.6978402089222000184849841885565
absolute error = 5e-31
relative error = 2.9449178866920771324175201158776e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.595
y[1] (analytic) = 1.6979999398827631293144854286374
y[1] (numeric) = 1.6979999398827631293144854286379
absolute error = 5e-31
relative error = 2.9446408580822567517253694365582e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.596
y[1] (analytic) = 1.6981597950446343406050814770211
y[1] (numeric) = 1.6981597950446343406050814770216
absolute error = 5e-31
relative error = 2.9443636662405967921621832796481e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.597
y[1] (analytic) = 1.698319775407508407177660642642
y[1] (numeric) = 1.6983197754075084071776606426425
absolute error = 5e-31
relative error = 2.9440863095410050662604972956419e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.598
y[1] (analytic) = 1.6984798819710548828523560359531
y[1] (numeric) = 1.6984798819710548828523560359537
absolute error = 6e-31
relative error = 3.5325705436305254207407220154591e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.599
y[1] (analytic) = 1.6986401157349171207790750545861
y[1] (numeric) = 1.6986401157349171207790750545867
absolute error = 6e-31
relative error = 3.5322373140846837490497337069871e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.6
y[1] (analytic) = 1.6988004776987112737942295370535
y[1] (numeric) = 1.6988004776987112737942295370541
absolute error = 6e-31
relative error = 3.5319038808653565856526328101700e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.601
y[1] (analytic) = 1.6989609688620252948046662276802
y[1] (numeric) = 1.6989609688620252948046662276808
absolute error = 6e-31
relative error = 3.5315702420278893193457533562662e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.602
y[1] (analytic) = 1.6991215902244179371997971687502
y[1] (numeric) = 1.6991215902244179371997971687508
absolute error = 6e-31
relative error = 3.5312363956293011451452543700656e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.603
y[1] (analytic) = 1.6992823427854177552929296076546
y[1] (numeric) = 1.6992823427854177552929296076551
absolute error = 5e-31
relative error = 2.9424186164402408503008962643760e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.604
y[1] (analytic) = 1.6994432275445221047927949776273
y[1] (numeric) = 1.6994432275445221047927949776279
absolute error = 6e-31
relative error = 3.5305680723852316380502146271246e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.605
y[1] (analytic) = 1.6996042455011961433062764804579
y[1] (numeric) = 1.6996042455011961433062764804585
absolute error = 6e-31
relative error = 3.5302335916621934177910012106581e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.606
y[1] (analytic) = 1.6997653976548718308733347683681
y[1] (numeric) = 1.6997653976548718308733347683687
absolute error = 6e-31
relative error = 3.5298988956229285137198556465786e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.607
y[1] (analytic) = 1.6999266850049469305351311900454
y[1] (numeric) = 1.6999266850049469305351311900459
absolute error = 5e-31
relative error = 2.9413033186107373664765323922349e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.608
y[1] (analytic) = 1.7000881085507840089363480326255
y[1] (numeric) = 1.700088108550784008936348032626
absolute error = 5e-31
relative error = 2.9410240415493400933884268181702e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.609
y[1] (analytic) = 1.7002496692917094369627051572216
y[1] (numeric) = 1.7002496692917094369627051572221
absolute error = 5e-31
relative error = 2.9407445802256215903143676481347e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.61
y[1] (analytic) = 1.700411368227012390414672390399
y[1] (numeric) = 1.7004113682270123904146723903995
absolute error = 5e-31
relative error = 2.9404649330317097871942432184198e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.611
y[1] (analytic) = 1.7005732063559438507183769978006
y[1] (numeric) = 1.7005732063559438507183769978012
absolute error = 6e-31
relative error = 3.5282221180333891683798806236937e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=202.1MB, alloc=4.4MB, time=10.18
x[1] = 1.612
y[1] (analytic) = 1.7007351846777156056747055289321
y[1] (numeric) = 1.7007351846777156056747055289327
absolute error = 6e-31
relative error = 3.5278860895307358691547530919379e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.613
y[1] (analytic) = 1.7008973041914992502475992839213
y[1] (numeric) = 1.7008973041914992502475992839219
absolute error = 6e-31
relative error = 3.5275498322057878057060798169725e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.614
y[1] (analytic) = 1.7010595658964251873925426138738
y[1] (numeric) = 1.7010595658964251873925426138744
absolute error = 6e-31
relative error = 3.5272133441359633500014693222998e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.615
y[1] (analytic) = 1.701221970791581628926243226253
y[1] (numeric) = 1.7012219707915816289262432262536
absolute error = 6e-31
relative error = 3.5268766234004074479633113333372e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.616
y[1] (analytic) = 1.7013845198760135964385036255204
y[1] (numeric) = 1.701384519876013596438503625521
absolute error = 6e-31
relative error = 3.5265396680799957968714749051523e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.617
y[1] (analytic) = 1.701547214148721922247282777082
y[1] (numeric) = 1.7015472141487219222472827770826
absolute error = 6e-31
relative error = 3.5262024762573390393725977624130e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.618
y[1] (analytic) = 1.701710054608662250397947039396
y[1] (numeric) = 1.7017100546086622503979470393966
absolute error = 6e-31
relative error = 3.5258650460167869740352144303902e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.619
y[1] (analytic) = 1.7018730422547440377077093649076
y[1] (numeric) = 1.7018730422547440377077093649082
absolute error = 6e-31
relative error = 3.5255273754444327823897816838436e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.62
y[1] (analytic) = 1.7020361780858295548562557252877
y[1] (numeric) = 1.7020361780858295548562557252883
absolute error = 6e-31
relative error = 3.5251894626281172723924704769417e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.621
y[1] (analytic) = 1.7021994631007328875235576702667
y[1] (numeric) = 1.7021994631007328875235576702673
absolute error = 6e-31
relative error = 3.5248513056574331382514038481681e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.622
y[1] (analytic) = 1.7023628982982189375758698821676
y[1] (numeric) = 1.7023628982982189375758698821682
absolute error = 6e-31
relative error = 3.5245129026237292365538303256460e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.623
y[1] (analytic) = 1.7025264846770024243009115400566
y[1] (numeric) = 1.7025264846770024243009115400573
absolute error = 7e-31
relative error = 4.1115366268901340250712874460902e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.624
y[1] (analytic) = 1.7026902232357468856932302582484
y[1] (numeric) = 1.7026902232357468856932302582491
absolute error = 7e-31
relative error = 4.1111412425317081622945060992190e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.625
y[1] (analytic) = 1.7028541149730636797907473137165
y[1] (numeric) = 1.7028541149730636797907473137172
absolute error = 7e-31
relative error = 4.1107455644318235439812181263394e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.626
y[1] (analytic) = 1.703018160887510986063482825783
y[1] (numeric) = 1.7030181608875109860634828257837
absolute error = 7e-31
relative error = 4.1103495903719661932338663788127e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.627
y[1] (analytic) = 1.703182361977592806855459499277
y[1] (numeric) = 1.7031823619775928068554594992777
absolute error = 7e-31
relative error = 4.1099533181356962160781886114051e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.628
y[1] (analytic) = 1.7033467192417579688807834891761
y[1] (numeric) = 1.7033467192417579688807834891767
absolute error = 6e-31
relative error = 3.5224772104359882024560070380781e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.629
y[1] (analytic) = 1.703511233678399124774900890566
y[1] (numeric) = 1.7035112336783991247749008905667
absolute error = 7e-31
relative error = 4.1091598702785598481832140170302e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.63
y[1] (analytic) = 1.7036759062858517547020283025802
y[1] (numeric) = 1.7036759062858517547020283025809
absolute error = 7e-31
relative error = 4.1087626902352300892033822712739e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.631
y[1] (analytic) = 1.703840738062393168019755858803
y[1] (numeric) = 1.7038407380623931680197558588037
absolute error = 7e-31
relative error = 4.1083652031705712623899359610832e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.632
y[1] (analytic) = 1.704005730006241505001821059453
y[1] (numeric) = 1.7040057300062415050018210594537
absolute error = 7e-31
relative error = 4.1079674068785907784961787589671e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.633
y[1] (analytic) = 1.7041708831155547386200516824876
y[1] (numeric) = 1.7041708831155547386200516824883
absolute error = 7e-31
relative error = 4.1075692991554010157749824431553e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.634
y[1] (analytic) = 1.7043361983884296763864759916038
y[1] (numeric) = 1.7043361983884296763864759916044
absolute error = 6e-31
relative error = 3.5204321809707638839957269399335e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.635
y[1] (analytic) = 1.7045016768229009622565983989405
y[1] (numeric) = 1.7045016768229009622565983989411
absolute error = 6e-31
relative error = 3.5200904062374851061612878949805e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.636
y[1] (analytic) = 1.7046673194169400785948386791257
y[1] (numeric) = 1.7046673194169400785948386791264
absolute error = 7e-31
relative error = 4.1063730853913839143866324031382e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.637
y[1] (analytic) = 1.7048331271684543482031327691439
y[1] (numeric) = 1.7048331271684543482031327691446
absolute error = 7e-31
relative error = 4.1059737099467629449411321320869e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.638
y[1] (analytic) = 1.7049991010752859364136931253407
y[1] (numeric) = 1.7049991010752859364136931253414
absolute error = 7e-31
relative error = 4.1055740120832521283450162412826e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.639
y[1] (analytic) = 1.7051652421352108532469265447217
y[1] (numeric) = 1.7051652421352108532469265447223
absolute error = 6e-31
relative error = 3.5187205625226031849902166145796e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=205.9MB, alloc=4.4MB, time=10.38
x[1] = 1.64
y[1] (analytic) = 1.7053315513459379556355072925434
y[1] (numeric) = 1.705331551345937955635507292544
absolute error = 6e-31
relative error = 3.5183774060032386705153268999185e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.641
y[1] (analytic) = 1.7054980297051079497156033120414
y[1] (numeric) = 1.705498029705107949715603312042
absolute error = 6e-31
relative error = 3.5180339674959579106901891897693e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.642
y[1] (analytic) = 1.7056646782102923931862532249848
y[1] (numeric) = 1.7056646782102923931862532249854
absolute error = 6e-31
relative error = 3.5176902451281555470330625124697e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.643
y[1] (analytic) = 1.7058314978589926977378917635981
y[1] (numeric) = 1.7058314978589926977378917635987
absolute error = 6e-31
relative error = 3.5173462370290758366599512153476e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.644
y[1] (analytic) = 1.7059984896486391315510212052413
y[1] (numeric) = 1.7059984896486391315510212052419
absolute error = 6e-31
relative error = 3.5170019413298172710823378064251e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.645
y[1] (analytic) = 1.7061656545765898218660263110938
y[1] (numeric) = 1.7061656545765898218660263110944
absolute error = 6e-31
relative error = 3.5166573561633372098380843117580e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.646
y[1] (analytic) = 1.7063329936401297576251301989443
y[1] (numeric) = 1.7063329936401297576251301989449
absolute error = 6e-31
relative error = 3.5163124796644565288893589837901e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.647
y[1] (analytic) = 1.7065005078364697921874885080472
y[1] (numeric) = 1.7065005078364697921874885080478
absolute error = 6e-31
relative error = 3.5159673099698642837212498003896e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.648
y[1] (analytic) = 1.7066681981627456461184191408688
y[1] (numeric) = 1.7066681981627456461184191408694
absolute error = 6e-31
relative error = 3.5156218452181223870745306655548e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.649
y[1] (analytic) = 1.7068360656160169100537647924096
y[1] (numeric) = 1.7068360656160169100537647924103
absolute error = 7e-31
relative error = 4.1011554308079486847868256623592e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.65
y[1] (analytic) = 1.7070041111932660476403854026587
y[1] (numeric) = 1.7070041111932660476403854026594
absolute error = 7e-31
relative error = 4.1007516936246347023698235397682e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.651
y[1] (analytic) = 1.7071723358913973985537775916025
y[1] (numeric) = 1.7071723358913973985537775916032
absolute error = 7e-31
relative error = 4.1003476057061109832870868862678e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.652
y[1] (analytic) = 1.7073407407072361815938180590871
y[1] (numeric) = 1.7073407407072361815938180590878
absolute error = 7e-31
relative error = 4.0999431648894946718789596789557e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.653
y[1] (analytic) = 1.7075093266375274978596278537072
y[1] (numeric) = 1.7075093266375274978596278537079
absolute error = 7e-31
relative error = 4.0995383690141154527567665234462e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.654
y[1] (analytic) = 1.707678094678935334004554335774
y[1] (numeric) = 1.7076780946789353340045543357747
absolute error = 7e-31
relative error = 4.0991332159215211089538981455463e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.655
y[1] (analytic) = 1.7078470458280415655722675792972
y[1] (numeric) = 1.7078470458280415655722675792979
absolute error = 7e-31
relative error = 4.0987277034554830966003146305208e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.656
y[1] (analytic) = 1.7080161810813449604149678768018
y[1] (numeric) = 1.7080161810813449604149678768025
absolute error = 7e-31
relative error = 4.0983218294620021360410137160764e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.657
y[1] (analytic) = 1.7081855014352601821947009286892
y[1] (numeric) = 1.7081855014352601821947009286898
absolute error = 6e-31
relative error = 3.5124990786765547022732419554223e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.658
y[1] (analytic) = 1.7083550078861167939687772157436
y[1] (numeric) = 1.7083550078861167939687772157442
absolute error = 6e-31
relative error = 3.5121505613896236290925599424758e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.659
y[1] (analytic) = 1.7085247014301582618602919692829
y[1] (numeric) = 1.7085247014301582618602919692836
absolute error = 7e-31
relative error = 4.0971020168104656028525942788121e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.66
y[1] (analytic) = 1.7086945830635409588147420683494
y[1] (numeric) = 1.70869458306354095881474206835
absolute error = 6e-31
relative error = 3.5114525787531445204526212363686e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.661
y[1] (analytic) = 1.7088646537823331684437361072407
y[1] (numeric) = 1.7088646537823331684437361072413
absolute error = 6e-31
relative error = 3.5111031097283440500969679509557e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.662
y[1] (analytic) = 1.7090349145825140889567937895895
y[1] (numeric) = 1.70903491458251408895679378959
absolute error = 5e-31
relative error = 2.9256277664879704189457889979716e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.663
y[1] (analytic) = 1.7092053664599728371822307171068
y[1] (numeric) = 1.7092053664599728371822307171073
absolute error = 5e-31
relative error = 2.9253360059100264360217497090064e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.664
y[1] (analytic) = 1.709376010410507452678124552024
y[1] (numeric) = 1.7093760104105074526781245520245
absolute error = 5e-31
relative error = 2.9250439748474343271694116676660e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.665
y[1] (analytic) = 1.709546847429823901934358442182
y[1] (numeric) = 1.7095468474298239019343584421825
absolute error = 5e-31
relative error = 2.9247516717761357868469943728788e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.666
y[1] (analytic) = 1.7097178785135350826667375066424
y[1] (numeric) = 1.709717878513535082666737506643
absolute error = 6e-31
relative error = 3.5093509142084464932789189600489e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.667
y[1] (analytic) = 1.7098891046571598282041740876217
y[1] (numeric) = 1.7098891046571598282041740876223
absolute error = 6e-31
relative error = 3.5089994922232257797474395972210e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.4MB, time=10.58
x[1] = 1.668
y[1] (analytic) = 1.7100605268561219119699373814782
y[1] (numeric) = 1.7100605268561219119699373814788
absolute error = 6e-31
relative error = 3.5086477383527241244632233740255e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.669
y[1] (analytic) = 1.7102321461057490520579629674217
y[1] (numeric) = 1.7102321461057490520579629674223
absolute error = 6e-31
relative error = 3.5082956507759391984854962133538e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.67
y[1] (analytic) = 1.7104039634012719159052176575514
y[1] (numeric) = 1.710403963401271915905217657552
absolute error = 6e-31
relative error = 3.5079432276738480055454489519431e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.671
y[1] (analytic) = 1.7105759797378231250611149957754
y[1] (numeric) = 1.710575979737823125061114995776
absolute error = 6e-31
relative error = 3.5075904672294118775499412411703e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.672
y[1] (analytic) = 1.7107481961104362600549766361128
y[1] (numeric) = 1.7107481961104362600549766361134
absolute error = 6e-31
relative error = 3.5072373676275814830636528788389e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.673
y[1] (analytic) = 1.7109206135140448653625347328344
y[1] (numeric) = 1.710920613514044865362534732835
absolute error = 6e-31
relative error = 3.5068839270553018486982366411383e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.674
y[1] (analytic) = 1.7110932329434814544724703758563
y[1] (numeric) = 1.7110932329434814544724703758569
absolute error = 6e-31
relative error = 3.5065301437015173933368300604570e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.675
y[1] (analytic) = 1.7112660553934765150539830047658
y[1] (numeric) = 1.7112660553934765150539830047664
absolute error = 6e-31
relative error = 3.5061760157571769751220870217182e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.676
y[1] (analytic) = 1.7114390818586575142263856338261
y[1] (numeric) = 1.7114390818586575142263856338267
absolute error = 6e-31
relative error = 3.5058215414152389511356935343744e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.677
y[1] (analytic) = 1.7116123133335479039317206182833
y[1] (numeric) = 1.7116123133335479039317206182839
absolute error = 6e-31
relative error = 3.5054667188706762496971355861261e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.678
y[1] (analytic) = 1.7117857508125661264113905892751
y[1] (numeric) = 1.7117857508125661264113905892757
absolute error = 6e-31
relative error = 3.5051115463204814552092906048377e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.679
y[1] (analytic) = 1.7119593952900246197877990806293
y[1] (numeric) = 1.7119593952900246197877990806299
absolute error = 6e-31
relative error = 3.5047560219636719054782177540138e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.68
y[1] (analytic) = 1.7121332477601288237519952658272
y[1] (numeric) = 1.7121332477601288237519952658277
absolute error = 5e-31
relative error = 2.9203334533344123345286050596819e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.681
y[1] (analytic) = 1.7123073092169761853583171174048
y[1] (numeric) = 1.7123073092169761853583171174053
absolute error = 5e-31
relative error = 2.9200365921970269409849194491585e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.682
y[1] (analytic) = 1.7124815806545551649270271940663
y[1] (numeric) = 1.7124815806545551649270271940668
absolute error = 5e-31
relative error = 2.9197394333951723285864937859996e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.683
y[1] (analytic) = 1.7126560630667442420559351527904
y[1] (numeric) = 1.7126560630667442420559351527909
absolute error = 5e-31
relative error = 2.9194419754348214736231723995474e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.684
y[1] (analytic) = 1.7128307574473109217420009742243
y[1] (numeric) = 1.7128307574473109217420009742248
absolute error = 5e-31
relative error = 2.9191442168236560395177320310063e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.685
y[1] (analytic) = 1.71300566478991074061391277968
y[1] (numeric) = 1.7130056647899107406139127796805
absolute error = 5e-31
relative error = 2.9188461560710706856832833595043e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.686
y[1] (analytic) = 1.7131807860880862732766330070712
y[1] (numeric) = 1.7131807860880862732766330070717
absolute error = 5e-31
relative error = 2.9185477916881773863476200718831e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.687
y[1] (analytic) = 1.7133561223352661387689066011629
y[1] (numeric) = 1.7133561223352661387689066011634
absolute error = 5e-31
relative error = 2.9182491221878097592826892163394e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.688
y[1] (analytic) = 1.7135316745247640071347247605418
y[1] (numeric) = 1.7135316745247640071347247605423
absolute error = 5e-31
relative error = 2.9179501460845274043771938492183e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.689
y[1] (analytic) = 1.7137074436497776061097376697615
y[1] (numeric) = 1.713707443649777606109737669762
absolute error = 5e-31
relative error = 2.9176508618946202519901763778596e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.69
y[1] (analytic) = 1.7138834307033877279236095301669
y[1] (numeric) = 1.7138834307033877279236095301674
absolute error = 5e-31
relative error = 2.9173512681361129210232685263613e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.691
y[1] (analytic) = 1.7140596366785572362193090869601
y[1] (numeric) = 1.7140596366785572362193090869605
absolute error = 4e-31
relative error = 2.3336410906630152693193052091328e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.692
y[1] (analytic) = 1.7142360625681300730903287331337
y[1] (numeric) = 1.7142360625681300730903287331342
absolute error = 5e-31
relative error = 2.9167511459940958576334478179644e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.693
y[1] (analytic) = 1.7144127093648302662368251529716
y[1] (numeric) = 1.7144127093648302662368251529721
absolute error = 5e-31
relative error = 2.9164506146553481631876639152654e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.694
y[1] (analytic) = 1.7145895780612609362416743488912
y[1] (numeric) = 1.7145895780612609362416743488917
absolute error = 5e-31
relative error = 2.9161497678375331492895213591063e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.695
y[1] (analytic) = 1.7147666696499033039674337754915
y[1] (numeric) = 1.714766669649903303967433775492
absolute error = 5e-31
relative error = 2.9158486040674145844082519912382e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=213.6MB, alloc=4.4MB, time=10.78
x[1] = 1.696
y[1] (analytic) = 1.7149439851231156980752041837615
y[1] (numeric) = 1.714943985123115698075204183762
absolute error = 5e-31
relative error = 2.9155471218735172745711513787475e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.697
y[1] (analytic) = 1.715121525473132562666383656504
y[1] (numeric) = 1.7151215254731325626663836565045
absolute error = 5e-31
relative error = 2.9152453197861314877080832399597e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.698
y[1] (analytic) = 1.7152992916920634650483061931382
y[1] (numeric) = 1.7152992916920634650483061931387
absolute error = 5e-31
relative error = 2.9149431963373173872103063856355e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.699
y[1] (analytic) = 1.7154772847718921036247570781607
y[1] (numeric) = 1.7154772847718921036247570781612
absolute error = 5e-31
relative error = 2.9146407500609094746398546706908e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.7
y[1] (analytic) = 1.7156555057044753159123571426651
y[1] (numeric) = 1.7156555057044753159123571426656
absolute error = 5e-31
relative error = 2.9143379794925210415255396084874e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.701
y[1] (analytic) = 1.7158339554815420866838079024554
y[1] (numeric) = 1.7158339554815420866838079024559
absolute error = 5e-31
relative error = 2.9140348831695486301814846529261e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.702
y[1] (analytic) = 1.7160126350946925562389894294233
y[1] (numeric) = 1.7160126350946925562389894294238
absolute error = 5e-31
relative error = 2.9137314596311765034839397092015e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.703
y[1] (analytic) = 1.7161915455353970288049026850109
y[1] (numeric) = 1.7161915455353970288049026850113
absolute error = 4e-31
relative error = 2.3307421659347048988335713585388e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.704
y[1] (analytic) = 1.7163706877949949810654479157318
y[1] (numeric) = 1.7163706877949949810654479157322
absolute error = 4e-31
relative error = 2.3304989000591485113579255823732e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.705
y[1] (analytic) = 1.7165500628646940708220305808916
y[1] (numeric) = 1.716550062864694070822030580892
absolute error = 4e-31
relative error = 2.3302553689139315058315613005333e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.706
y[1] (analytic) = 1.7167296717355691457859861518177
y[1] (numeric) = 1.7167296717355691457859861518181
absolute error = 4e-31
relative error = 2.3300115713361578980950688063619e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.707
y[1] (analytic) = 1.7169095153985612525038149900917
y[1] (numeric) = 1.716909515398561252503814990092
absolute error = 3e-31
relative error = 1.7473256296232848989280174369323e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.708
y[1] (analytic) = 1.7170895948444766454162183794666
y[1] (numeric) = 1.7170895948444766454162183794669
absolute error = 3e-31
relative error = 1.7471423791789510224976931612239e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.709
y[1] (analytic) = 1.7172699110639857960519266523511
y[1] (numeric) = 1.7172699110639857960519266523514
absolute error = 3e-31
relative error = 1.7469589263002113139747790731946e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.71
y[1] (analytic) = 1.7174504650476224023573102169489
y[1] (numeric) = 1.7174504650476224023573102169492
absolute error = 3e-31
relative error = 1.7467752701192545691607947599466e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.711
y[1] (analytic) = 1.7176312577857823981627641553602
y[1] (numeric) = 1.7176312577857823981627641553605
absolute error = 3e-31
relative error = 1.7465914097693665884545229952185e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.712
y[1] (analytic) = 1.7178122902687229627868569261786
y[1] (numeric) = 1.7178122902687229627868569261789
absolute error = 3e-31
relative error = 1.7464073443849329103263977959474e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.713
y[1] (analytic) = 1.7179935634865615307792335673515
y[1] (numeric) = 1.7179935634865615307792335673518
absolute error = 3e-31
relative error = 1.7462230731014415497374859021575e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.714
y[1] (analytic) = 1.7181750784292748018032636563183
y[1] (numeric) = 1.7181750784292748018032636563186
absolute error = 3e-31
relative error = 1.7460385950554857414633664174460e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.715
y[1] (analytic) = 1.7183568360866977506594241446967
y[1] (numeric) = 1.718356836086697750659424144697
absolute error = 3e-31
relative error = 1.7458539093847666882831189917584e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.716
y[1] (analytic) = 1.7185388374485226374504070440506
y[1] (numeric) = 1.7185388374485226374504070440509
absolute error = 3e-31
relative error = 1.7456690152280963139935367452612e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.717
y[1] (analytic) = 1.7187210835042980178889417975504
y[1] (numeric) = 1.7187210835042980178889417975508
absolute error = 4e-31
relative error = 2.3273118823005333616114481674653e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.718
y[1] (analytic) = 1.7189035752434277537493220296208
y[1] (numeric) = 1.7189035752434277537493220296212
absolute error = 4e-31
relative error = 2.3270647973569592718720560858226e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.719
y[1] (analytic) = 1.7190863136551700234636262219657
y[1] (numeric) = 1.7190863136551700234636262219661
absolute error = 4e-31
relative error = 2.3268174309962870195561775412414e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.72
y[1] (analytic) = 1.7192692997286363328636217196688
y[1] (numeric) = 1.7192692997286363328636217196692
absolute error = 4e-31
relative error = 2.3265697820762265154812508352902e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.721
y[1] (analytic) = 1.7194525344527905260693413253824
y[1] (numeric) = 1.7194525344527905260693413253828
absolute error = 4e-31
relative error = 2.3263218494559870798842421293281e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.722
y[1] (analytic) = 1.7196360188164477965253215929455
y[1] (numeric) = 1.7196360188164477965253215929458
absolute error = 3e-31
relative error = 1.7445552239972108629389840749164e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.723
y[1] (analytic) = 1.7198197538082736981854917841102
y[1] (numeric) = 1.7198197538082736981854917841105
absolute error = 3e-31
relative error = 1.7443688464194959979070282378638e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=217.4MB, alloc=4.4MB, time=10.99
x[1] = 1.724
y[1] (analytic) = 1.7200037404167831568477023034066
y[1] (numeric) = 1.7200037404167831568477023034069
absolute error = 3e-31
relative error = 1.7441822535066430810585109052451e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.725
y[1] (analytic) = 1.7201879796303394816388812765328
y[1] (numeric) = 1.7201879796303394816388812765331
absolute error = 3e-31
relative error = 1.7439954444075851872881576303534e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.726
y[1] (analytic) = 1.7203724724371533766518077870334
y[1] (numeric) = 1.7203724724371533766518077870338
absolute error = 4e-31
relative error = 2.3250778910298585322619794575432e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.727
y[1] (analytic) = 1.72055721982528195273449013441
y[1] (numeric) = 1.7205572198252819527344901344103
absolute error = 3e-31
relative error = 1.7436211742522821105224004344704e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.728
y[1] (analytic) = 1.7207422227826277394331373242018
y[1] (numeric) = 1.7207422227826277394331373242022
absolute error = 4e-31
relative error = 2.3245782819994757785535317998854e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.729
y[1] (analytic) = 1.7209274822969376970897118469858
y[1] (numeric) = 1.7209274822969376970897118469862
absolute error = 4e-31
relative error = 2.3243280388904960173393348808488e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.73
y[1] (analytic) = 1.7211129993558022290950516486574
y[1] (numeric) = 1.7211129993558022290950516486578
absolute error = 4e-31
relative error = 2.3240775018823084516373556011242e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.731
y[1] (analytic) = 1.7212987749466541942985490387904
y[1] (numeric) = 1.7212987749466541942985490387908
absolute error = 4e-31
relative error = 2.3238266698493214264987969514186e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.732
y[1] (analytic) = 1.7214848100567679195753741273133
y[1] (numeric) = 1.7214848100567679195753741273137
absolute error = 4e-31
relative error = 2.3235755416674838103992993726061e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.733
y[1] (analytic) = 1.7216711056732582125522302221973
y[1] (numeric) = 1.7216711056732582125522302221977
absolute error = 4e-31
relative error = 2.3233241162142887670395548300254e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.734
y[1] (analytic) = 1.7218576627830793744926284623172
y[1] (numeric) = 1.7218576627830793744926284623176
absolute error = 4e-31
relative error = 2.3230723923687775326011609269252e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.735
y[1] (analytic) = 1.7220444823730242133426688001296
y[1] (numeric) = 1.72204448237302421334266880013
absolute error = 4e-31
relative error = 2.3228203690115431984022009959524e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.736
y[1] (analytic) = 1.7222315654297230569383142883041
y[1] (numeric) = 1.7222315654297230569383142883045
absolute error = 4e-31
relative error = 2.3225680450247344988969161724429e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.737
y[1] (analytic) = 1.7224189129396427663751454629514
y[1] (numeric) = 1.7224189129396427663751454629518
absolute error = 4e-31
relative error = 2.3223154192920596049637158523405e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.738
y[1] (analytic) = 1.7226065258890857495415814536118
y[1] (numeric) = 1.7226065258890857495415814536122
absolute error = 4e-31
relative error = 2.3220624906987899224256536758076e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.739
y[1] (analytic) = 1.7227944052641889748165542867008
y[1] (numeric) = 1.7227944052641889748165542867012
absolute error = 4e-31
relative error = 2.3218092581317638957473772599947e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.74
y[1] (analytic) = 1.7229825520509229849326226846549
y[1] (numeric) = 1.7229825520509229849326226846553
absolute error = 4e-31
relative error = 2.3215557204793908168524413359783e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.741
y[1] (analytic) = 1.7231709672350909110055114975822
y[1] (numeric) = 1.7231709672350909110055114975826
absolute error = 4e-31
relative error = 2.3213018766316546390047557305429e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.742
y[1] (analytic) = 1.7233596518023274867310627377954
y[1] (numeric) = 1.7233596518023274867310627377958
absolute error = 4e-31
relative error = 2.3210477254801177956978217782648e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.743
y[1] (analytic) = 1.7235486067380980627505840201951
y[1] (numeric) = 1.7235486067380980627505840201956
absolute error = 5e-31
relative error = 2.9009915823974062806191165727881e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.744
y[1] (analytic) = 1.7237378330276976211855800430722
y[1] (numeric) = 1.7237378330276976211855800430727
absolute error = 5e-31
relative error = 2.9006731210497589947078510346071e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.745
y[1] (analytic) = 1.7239273316562497903428525745152
y[1] (numeric) = 1.7239273316562497903428525745157
absolute error = 5e-31
relative error = 2.9003542714276064328233777211877e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.746
y[1] (analytic) = 1.7241171036087058595909542392416
y[1] (numeric) = 1.7241171036087058595909542392421
absolute error = 5e-31
relative error = 2.9000350321533418968173297012859e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.747
y[1] (analytic) = 1.7243071498698437944089812293167
y[1] (numeric) = 1.7243071498698437944089812293172
absolute error = 5e-31
relative error = 2.8997154018513557483066799731348e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.748
y[1] (analytic) = 1.7244974714242672516086898898851
y[1] (numeric) = 1.7244974714242672516086898898856
absolute error = 5e-31
relative error = 2.8993953791480402183564150906508e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.749
y[1] (analytic) = 1.7246880692564045947309219577164
y[1] (numeric) = 1.7246880692564045947309219577168
absolute error = 4e-31
relative error = 2.3192599701374353783398618267994e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.75
y[1] (analytic) = 1.7248789443505079096173230560574
y[1] (numeric) = 1.7248789443505079096173230560578
absolute error = 4e-31
relative error = 2.3190033208424225471998643270915e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.751
y[1] (analytic) = 1.7250700976906520201583388739913
y[1] (numeric) = 1.7250700976906520201583388739917
absolute error = 4e-31
relative error = 2.3187463543393350850836496594912e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=221.2MB, alloc=4.4MB, time=11.19
x[1] = 1.752
y[1] (analytic) = 1.7252615302607335042184732822245
y[1] (numeric) = 1.7252615302607335042184732822249
absolute error = 4e-31
relative error = 2.3184890695357313278803134275278e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.753
y[1] (analytic) = 1.7254532430444697097397924599611
y[1] (numeric) = 1.7254532430444697097397924599616
absolute error = 5e-31
relative error = 2.8977893316759880172153129926670e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.754
y[1] (analytic) = 1.7256452370253977710246589292804
y[1] (numeric) = 1.7256452370253977710246589292808
absolute error = 4e-31
relative error = 2.3179735406653161577804443978939e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.755
y[1] (analytic) = 1.7258375131868736251986792141986
y[1] (numeric) = 1.725837513186873625198679214199
absolute error = 4e-31
relative error = 2.3177152944217409305744909602396e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.756
y[1] (analytic) = 1.7260300725120710288548486613885
y[1] (numeric) = 1.7260300725120710288548486613889
absolute error = 4e-31
relative error = 2.3174567255241295414893966964698e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.757
y[1] (analytic) = 1.7262229159839805748798767783271
y[1] (numeric) = 1.7262229159839805748798767783275
absolute error = 4e-31
relative error = 2.3171978328881831256910877736884e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.758
y[1] (analytic) = 1.7264160445854087094636762624666
y[1] (numeric) = 1.726416044585408709463676262467
absolute error = 4e-31
relative error = 2.3169386154312430354324482278702e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.759
y[1] (analytic) = 1.7266094592989767492929987118558
y[1] (numeric) = 1.7266094592989767492929987118563
absolute error = 5e-31
relative error = 2.8958488400903684191769974566939e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.76
y[1] (analytic) = 1.7268031611071198989301998234959
y[1] (numeric) = 1.7268031611071198989301998234964
absolute error = 5e-31
relative error = 2.8955240021649646271050121700750e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.761
y[1] (analytic) = 1.726997150992086268378116700582
y[1] (numeric) = 1.7269971509920862683781167005825
absolute error = 5e-31
relative error = 2.8951987541656991569249428520142e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.762
y[1] (analytic) = 1.7271914299359358908320397036728
y[1] (numeric) = 1.7271914299359358908320397036733
absolute error = 5e-31
relative error = 2.8948730947474985247983165454876e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.763
y[1] (analytic) = 1.7273859989205397406197610937332
y[1] (numeric) = 1.7273859989205397406197610937338
absolute error = 6e-31
relative error = 3.4734564270808366952856152972343e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.764
y[1] (analytic) = 1.7275808589275787513306825269212
y[1] (numeric) = 1.7275808589275787513306825269218
absolute error = 6e-31
relative error = 3.4730646435412512741868225386564e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.765
y[1] (analytic) = 1.7277760109385428341349632719272
y[1] (numeric) = 1.7277760109385428341349632719277
absolute error = 5e-31
relative error = 2.8938936345597001700094269202867e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.766
y[1] (analytic) = 1.7279714559347298962936908306383
y[1] (numeric) = 1.7279714559347298962936908306388
absolute error = 5e-31
relative error = 2.8935663160565907944778554583782e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.767
y[1] (analytic) = 1.7281671948972448598610554518738
y[1] (numeric) = 1.7281671948972448598610554518743
absolute error = 5e-31
relative error = 2.8932385794403967584200085557165e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.768
y[1] (analytic) = 1.7283632288069986805795098359356
y[1] (numeric) = 1.7283632288069986805795098359361
absolute error = 5e-31
relative error = 2.8929104233785660622136228430985e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.769
y[1] (analytic) = 1.7285595586447073669688951347323
y[1] (numeric) = 1.7285595586447073669688951347328
absolute error = 5e-31
relative error = 2.8925818465406507988975826389135e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.77
y[1] (analytic) = 1.7287561853908909996105141582696
y[1] (numeric) = 1.7287561853908909996105141582701
absolute error = 5e-31
relative error = 2.8922528475983120738775200564063e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.771
y[1] (analytic) = 1.7289531100258727506271325033512
y[1] (numeric) = 1.7289531100258727506271325033517
absolute error = 5e-31
relative error = 2.8919234252253249287867513638280e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.772
y[1] (analytic) = 1.7291503335297779033598881244085
y[1] (numeric) = 1.729150333529777903359888124409
absolute error = 5e-31
relative error = 2.8915935780975832694279366725145e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.773
y[1] (analytic) = 1.7293478568825328722430896694666
y[1] (numeric) = 1.7293478568825328722430896694671
absolute error = 5e-31
relative error = 2.8912633048931047977207197166370e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.774
y[1] (analytic) = 1.7295456810638642228778837063675
y[1] (numeric) = 1.729545681063864222877883706368
absolute error = 5e-31
relative error = 2.8909326042920359475804748252250e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.775
y[1] (analytic) = 1.7297438070532976923057707655014
y[1] (numeric) = 1.7297438070532976923057707655019
absolute error = 5e-31
relative error = 2.8906014749766568246531591782753e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.776
y[1] (analytic) = 1.7299422358301572094829499254481
y[1] (numeric) = 1.7299422358301572094829499254486
absolute error = 5e-31
relative error = 2.8902699156313861498311400905105e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.777
y[1] (analytic) = 1.7301409683735639159564714671028
y[1] (numeric) = 1.7301409683735639159564714671032
absolute error = 4e-31
relative error = 2.3119503399542289651797915078537e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.778
y[1] (analytic) = 1.730340005662435186743176920051
y[1] (numeric) = 1.7303400056624351867431769200515
absolute error = 5e-31
relative error = 2.8896055015995677912641099087535e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.779
y[1] (analytic) = 1.7305393486754836514124056221732
y[1] (numeric) = 1.7305393486754836514124056221736
absolute error = 4e-31
relative error = 2.3114181154340761348847463343538e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=225.0MB, alloc=4.4MB, time=11.40
x[1] = 1.78
y[1] (analytic) = 1.7307389983912162153734467096874
y[1] (numeric) = 1.7307389983912162153734467096878
absolute error = 4e-31
relative error = 2.3111514813719128228154395246606e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.781
y[1] (analytic) = 1.7309389557879330813687152501003
y[1] (numeric) = 1.7309389557879330813687152501007
absolute error = 4e-31
relative error = 2.3108844980493131583400108050397e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.782
y[1] (analytic) = 1.7311392218437267711736310248061
y[1] (numeric) = 1.7311392218437267711736310248065
absolute error = 4e-31
relative error = 2.3106171644241606842099454722786e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.783
y[1] (analytic) = 1.7313397975364811475041782613741
y[1] (numeric) = 1.7313397975364811475041782613745
absolute error = 4e-31
relative error = 2.3103494794560775986862633008701e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.784
y[1] (analytic) = 1.7315406838438704361331244078837
y[1] (numeric) = 1.731540683843870436133124407884
absolute error = 3e-31
relative error = 1.7325610815798215492808945178555e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.785
y[1] (analytic) = 1.7317418817433582482158758330062
y[1] (numeric) = 1.7317418817433582482158758330065
absolute error = 3e-31
relative error = 1.7323597885037441456543670655941e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.786
y[1] (analytic) = 1.731943392212196602826948125897
y[1] (numeric) = 1.7319433922121966028269481258974
absolute error = 4e-31
relative error = 2.3095443061166300198359658388190e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.787
y[1] (analytic) = 1.7321452162274249497080284593455
y[1] (numeric) = 1.7321452162274249497080284593459
absolute error = 4e-31
relative error = 2.3092752054079588224016997629900e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.788
y[1] (analytic) = 1.7323473547658691922286072680389
y[1] (numeric) = 1.7323473547658691922286072680393
absolute error = 4e-31
relative error = 2.3090057481806871122392964357925e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.789
y[1] (analytic) = 1.7325498088041407105601562812283
y[1] (numeric) = 1.7325498088041407105601562812287
absolute error = 4e-31
relative error = 2.3087359334049526188374814958148e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.79
y[1] (analytic) = 1.7327525793186353850648297355354
y[1] (numeric) = 1.7327525793186353850648297355358
absolute error = 4e-31
relative error = 2.3084657600526596149632081768758e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.791
y[1] (analytic) = 1.7329556672855326198996653791193
y[1] (numeric) = 1.7329556672855326198996653791197
absolute error = 4e-31
relative error = 2.3081952270974829095653677806727e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.792
y[1] (analytic) = 1.7331590736807943668372616629195
y[1] (numeric) = 1.7331590736807943668372616629199
absolute error = 4e-31
relative error = 2.3079243335148718427280989151811e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.793
y[1] (analytic) = 1.7333627994801641493039072982175
y[1] (numeric) = 1.7333627994801641493039072982179
absolute error = 4e-31
relative error = 2.3076530782820542826119313820429e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.794
y[1] (analytic) = 1.7335668456591660866361391423056
y[1] (numeric) = 1.733566845659166086636139142306
absolute error = 4e-31
relative error = 2.3073814603780406243209082705667e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.795
y[1] (analytic) = 1.733771213193103918556704155624
y[1] (numeric) = 1.7337712131931039185567041556244
absolute error = 4e-31
relative error = 2.3071094787836277906337381119366e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.796
y[1] (analytic) = 1.7339759030570600298709009543226
y[1] (numeric) = 1.733975903057060029870900954323
absolute error = 4e-31
relative error = 2.3068371324814032345369378696215e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.797
y[1] (analytic) = 1.7341809162258944753842762618255
y[1] (numeric) = 1.7341809162258944753842762618258
absolute error = 3e-31
relative error = 1.7299233153418117076233778217251e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.798
y[1] (analytic) = 1.7343862536742440050426513416188
y[1] (numeric) = 1.7343862536742440050426513416191
absolute error = 3e-31
relative error = 1.7297185062696340840614178290323e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.799
y[1] (analytic) = 1.7345919163765210892954532711565
y[1] (numeric) = 1.7345919163765210892954532711568
absolute error = 3e-31
relative error = 1.7295134213855068621389923908725e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.8
y[1] (analytic) = 1.7347979053069129446833256934694
y[1] (numeric) = 1.7347979053069129446833256934697
absolute error = 3e-31
relative error = 1.7293080599317722666155345081768e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.801
y[1] (analytic) = 1.7350042214393805596509934587871
y[1] (numeric) = 1.7350042214393805596509934587874
absolute error = 3e-31
relative error = 1.7291024211521304480447653815559e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.802
y[1] (analytic) = 1.7352108657476577205863553432261
y[1] (numeric) = 1.7352108657476577205863553432263
absolute error = 2e-31
relative error = 1.1525976695277616612017516600583e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.803
y[1] (analytic) = 1.7354178392052500380867788053701
y[1] (numeric) = 1.7354178392052500380867788053704
absolute error = 3e-31
relative error = 1.7286903085967334281391324670852e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.804
y[1] (analytic) = 1.7356251427854339734535705143683
y[1] (numeric) = 1.7356251427854339734535705143685
absolute error = 2e-31
relative error = 1.1523225555434634954713768247173e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.805
y[1] (analytic) = 1.7358327774612558654155961549967
y[1] (numeric) = 1.7358327774612558654155961549969
absolute error = 2e-31
relative error = 1.1521847184641265940136146406971e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.806
y[1] (analytic) = 1.7360407442055309570830227859855
y[1] (numeric) = 1.7360407442055309570830227859857
absolute error = 2e-31
relative error = 1.1520466939935015375302639504696e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.807
y[1] (analytic) = 1.7362490439908424231321567977858
y[1] (numeric) = 1.736249043990842423132156797786
absolute error = 2e-31
relative error = 1.1519084816328622787511084071031e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=228.8MB, alloc=4.4MB, time=11.60
x[1] = 1.808
y[1] (analytic) = 1.7364576777895403972223502848586
y[1] (numeric) = 1.7364576777895403972223502848588
absolute error = 2e-31
relative error = 1.1517700808844021096344351856468e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.809
y[1] (analytic) = 1.7366666465737409996459484154975
y[1] (numeric) = 1.7366666465737409996459484154977
absolute error = 2e-31
relative error = 1.1516314912512356715036270402560e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.81
y[1] (analytic) = 1.736875951315325365212250149158
y[1] (numeric) = 1.7368759513153253652122501491582
absolute error = 2e-31
relative error = 1.1514927122374009656458747720491e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.811
y[1] (analytic) = 1.7370855929859386713664544172501
y[1] (numeric) = 1.7370855929859386713664544172503
absolute error = 2e-31
relative error = 1.1513537433478613643413466356595e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.812
y[1] (analytic) = 1.7372955725569891665445636483681
y[1] (numeric) = 1.7372955725569891665445636483683
absolute error = 2e-31
relative error = 1.1512145840885076222911110115404e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.813
y[1] (analytic) = 1.7375058909996471987652162829728
y[1] (numeric) = 1.7375058909996471987652162829731
absolute error = 3e-31
relative error = 1.7266128509492398326181032359878e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.814
y[1] (analytic) = 1.7377165492848442444594196856132
y[1] (numeric) = 1.7377165492848442444594196856135
absolute error = 3e-31
relative error = 1.7264035387328545769506690409383e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.815
y[1] (analytic) = 1.7379275483832719375391546248722
y[1] (numeric) = 1.7379275483832719375391546248724
absolute error = 2e-31
relative error = 1.1507959591644220849986906832374e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.816
y[1] (analytic) = 1.7381388892653810987058222523526
y[1] (numeric) = 1.7381388892653810987058222523529
absolute error = 3e-31
relative error = 1.7259840502550060925508705727408e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.817
y[1] (analytic) = 1.7383505729013807649995042721757
y[1] (numeric) = 1.738350572901380764999504272176
absolute error = 3e-31
relative error = 1.7257738725238102470439610226859e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.818
y[1] (analytic) = 1.7385626002612372195900067516493
y[1] (numeric) = 1.7385626002612372195900067516495
absolute error = 2e-31
relative error = 1.1503756032135277015232705381135e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.819
y[1] (analytic) = 1.7387749723146730218106577819826
y[1] (numeric) = 1.7387749723146730218106577819828
absolute error = 2e-31
relative error = 1.1502350976087387839642663420302e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.82
y[1] (analytic) = 1.7389876900311660374358289551691
y[1] (numeric) = 1.7389876900311660374358289551693
absolute error = 2e-31
relative error = 1.1500943977148890081827322274019e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.821
y[1] (analytic) = 1.7392007543799484692031503794342
y[1] (numeric) = 1.7392007543799484692031503794343
absolute error = 1e-31
relative error = 5.7497675152315306748733034916667e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.822
y[1] (analytic) = 1.7394141663300058875813887109524
y[1] (numeric) = 1.7394141663300058875813887109525
absolute error = 1e-31
relative error = 5.7490620655913271838238220429070e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.823
y[1] (analytic) = 1.7396279268500762617849574338759
y[1] (numeric) = 1.739627926850076261784957433876
absolute error = 1e-31
relative error = 5.7483556372349585565855187137975e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.824
y[1] (analytic) = 1.7398420369086489910360283740824
y[1] (numeric) = 1.7398420369086489910360283740825
absolute error = 1e-31
relative error = 5.7476482277483064773050952408386e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.825
y[1] (analytic) = 1.7400564974739639360752131844505
y[1] (numeric) = 1.7400564974739639360752131844505
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.826
y[1] (analytic) = 1.7402713095140104509217832909
y[1] (numeric) = 1.7402713095140104509217832909001
absolute error = 1e-31
relative error = 5.7462304557515275868624189316661e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.827
y[1] (analytic) = 1.7404864739965264148843965388983
y[1] (numeric) = 1.7404864739965264148843965388984
absolute error = 1e-31
relative error = 5.7455200884370432361432965636951e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.828
y[1] (analytic) = 1.7407019918889972648232985296221
y[1] (numeric) = 1.7407019918889972648232985296221
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.829
y[1] (analytic) = 1.7409178641586550276649663834959
y[1] (numeric) = 1.740917864158655027664966383496
absolute error = 1e-31
relative error = 5.7440963792009605285132730266439e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.83
y[1] (analytic) = 1.7411340917724773531701624163815
y[1] (numeric) = 1.7411340917724773531701624163816
absolute error = 1e-31
relative error = 5.7433830325038226345365528736157e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.831
y[1] (analytic) = 1.7413506756971865469563649602831
y[1] (numeric) = 1.7413506756971865469563649602832
absolute error = 1e-31
relative error = 5.7426686879116342531985687777470e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.832
y[1] (analytic) = 1.7415676168992486037755433060589
y[1] (numeric) = 1.7415676168992486037755433060591
absolute error = 2e-31
relative error = 1.1483906686097402115817870529130e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.833
y[1] (analytic) = 1.741784916344872241048243490282
y[1] (numeric) = 1.7417849163448722410482434902822
absolute error = 2e-31
relative error = 1.1482473991088354023795662894815e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.834
y[1] (analytic) = 1.7420025750000079326549513920846
y[1] (numeric) = 1.7420025750000079326549513920848
absolute error = 2e-31
relative error = 1.1481039286064148857458985257921e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.835
y[1] (analytic) = 1.7422205938303469429856993485423
y[1] (numeric) = 1.7422205938303469429856993485425
absolute error = 2e-31
relative error = 1.1479602566302548062224569399631e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.836
y[1] (analytic) = 1.7424389738013203612488822389111
y[1] (numeric) = 1.7424389738013203612488822389113
absolute error = 2e-31
relative error = 1.1478163827091070015685152540077e-29 %
Correct digits = 30
h = 0.001
memory used=232.7MB, alloc=4.4MB, time=11.82
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.837
y[1] (analytic) = 1.7426577158780981360402487288209
y[1] (numeric) = 1.7426577158780981360402487288211
absolute error = 2e-31
relative error = 1.1476723063727010137438940309123e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.838
y[1] (analytic) = 1.7428768210255881101730331053529
y[1] (numeric) = 1.742876821025588110173033105353
absolute error = 1e-31
relative error = 5.7376401357587304972673045724600e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.839
y[1] (analytic) = 1.7430962902084350557701928727894
y[1] (numeric) = 1.7430962902084350557701928727895
absolute error = 1e-31
relative error = 5.7369177228896662011026852248608e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.84
y[1] (analytic) = 1.7433161243910197096197170167184
y[1] (numeric) = 1.7433161243910197096197170167185
absolute error = 1e-31
relative error = 5.7361942909196857597826622973129e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.841
y[1] (analytic) = 1.743536324537457808793969581103
y[1] (numeric) = 1.7435363245374578087939695811031
absolute error = 1e-31
relative error = 5.7354698375170914699705214009019e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.842
y[1] (analytic) = 1.743756891611599126534032938893
y[1] (numeric) = 1.743756891611599126534032938893
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.843
y[1] (analytic) = 1.7439778265770265084000148717538
y[1] (numeric) = 1.7439778265770265084000148717539
absolute error = 1e-31
relative error = 5.7340178571119743679627163147901e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.844
y[1] (analytic) = 1.7441991303970549086882833085273
y[1] (numeric) = 1.7441991303970549086882833085273
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.845
y[1] (analytic) = 1.7444208040347304271165923051064
y[1] (numeric) = 1.7444208040347304271165923051064
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.846
y[1] (analytic) = 1.7446428484528293457780625805209
y[1] (numeric) = 1.7446428484528293457780625805209
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.847
y[1] (analytic) = 1.7448652646138571663649796551702
y[1] (numeric) = 1.7448652646138571663649796551702
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.848
y[1] (analytic) = 1.7450880534800476476633723673274
y[1] (numeric) = 1.7450880534800476476633723673274
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.849
y[1] (analytic) = 1.745311216013361843319334273254
y[1] (numeric) = 1.745311216013361843319334273254
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.85
y[1] (analytic) = 1.7455347531754871398780501645252
y[1] (numeric) = 1.7455347531754871398780501645252
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.851
y[1] (analytic) = 1.7457586659278362950964896634576
y[1] (numeric) = 1.7457586659278362950964896634576
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.852
y[1] (analytic) = 1.745982955231546476530729583867
y[1] (numeric) = 1.745982955231546476530729583867
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.853
y[1] (analytic) = 1.7462076220474783003988664697527
y[1] (numeric) = 1.7462076220474783003988664697527
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.854
y[1] (analytic) = 1.7464326673362148707204804489163
y[1] (numeric) = 1.7464326673362148707204804489163
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.855
y[1] (analytic) = 1.7466580920580608187336112619711
y[1] (numeric) = 1.7466580920580608187336112619711
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.856
y[1] (analytic) = 1.7468838971730413425902070496855
y[1] (numeric) = 1.7468838971730413425902070496855
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.857
y[1] (analytic) = 1.7471100836409012473310062031319
y[1] (numeric) = 1.7471100836409012473310062031319
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.858
y[1] (analytic) = 1.7473366524211039851408123016798
y[1] (numeric) = 1.7473366524211039851408123016797
absolute error = 1e-31
relative error = 5.7229956151517983150027709511831e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.859
y[1] (analytic) = 1.7475636044728306958851218834766
y[1] (numeric) = 1.7475636044728306958851218834766
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.86
y[1] (analytic) = 1.7477909407549792479290645117109
y[1] (numeric) = 1.7477909407549792479290645117108
absolute error = 1e-31
relative error = 5.7215080859043588635857476839144e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.861
y[1] (analytic) = 1.748018662226163279239614317635
y[1] (numeric) = 1.7480186622261632792396143176349
absolute error = 1e-31
relative error = 5.7207627218720011257349416966116e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.862
y[1] (analytic) = 1.7482467698447112387720319180588
y[1] (numeric) = 1.7482467698447112387720319180587
absolute error = 1e-31
relative error = 5.7200162885976641865382258598456e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.863
y[1] (analytic) = 1.7484752645686654281414953207902
y[1] (numeric) = 1.74847526456866542814149532079
absolute error = 2e-31
relative error = 1.1438537567721232078430608574464e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.864
y[1] (analytic) = 1.7487041473557810435808781463126
y[1] (numeric) = 1.7487041473557810435808781463125
absolute error = 1e-31
relative error = 5.7185202054452833144498395281522e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=236.5MB, alloc=4.4MB, time=12.01
x[1] = 1.865
y[1] (analytic) = 1.7489334191635252181856332078425
y[1] (numeric) = 1.7489334191635252181856332078424
absolute error = 1e-31
relative error = 5.7177705511412612117792901654383e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.866
y[1] (analytic) = 1.7491630809490760644467392048008
y[1] (numeric) = 1.7491630809490760644467392048007
absolute error = 1e-31
relative error = 5.7170198187433234241732773656821e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.867
y[1] (analytic) = 1.7493931336693217170726679966749
y[1] (numeric) = 1.7493931336693217170726679966748
absolute error = 1e-31
relative error = 5.7162680060514320556339461530044e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.868
y[1] (analytic) = 1.7496235782808593761013296352216
y[1] (numeric) = 1.7496235782808593761013296352215
absolute error = 1e-31
relative error = 5.7155151108707475316517024957003e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.869
y[1] (analytic) = 1.7498544157399943503029520429881
y[1] (numeric) = 1.749854415739994350302952042988
absolute error = 1e-31
relative error = 5.7147611310116385023496249910538e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.87
y[1] (analytic) = 1.7500856470027391008748519351901
y[1] (numeric) = 1.75008564700273910087485193519
absolute error = 1e-31
relative error = 5.7140060642896917381497700165575e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.871
y[1] (analytic) = 1.7503172730248122854290532900978
y[1] (numeric) = 1.7503172730248122854290532900977
absolute error = 1e-31
relative error = 5.7132499085257220177945116954004e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.872
y[1] (analytic) = 1.7505492947616378022737093802308
y[1] (numeric) = 1.7505492947616378022737093802306
absolute error = 2e-31
relative error = 1.1424985323091564017111965820104e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.873
y[1] (analytic) = 1.7507817131683438349892840828599
y[1] (numeric) = 1.7507817131683438349892840828597
absolute error = 2e-31
relative error = 1.1423468642362344276933221799224e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.874
y[1] (analytic) = 1.7510145291997618973004478935565
y[1] (numeric) = 1.7510145291997618973004478935563
absolute error = 2e-31
relative error = 1.1421949770536900920807341407669e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.875
y[1] (analytic) = 1.7512477438104258782446437708118
y[1] (numeric) = 1.7512477438104258782446437708117
absolute error = 1e-31
relative error = 5.7102143516494425078607118788591e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.876
y[1] (analytic) = 1.7514813579545710876382776430823
y[1] (numeric) = 1.7514813579545710876382776430821
absolute error = 2e-31
relative error = 1.1418905436342502284477297032125e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.877
y[1] (analytic) = 1.7517153725861333018414881119898
y[1] (numeric) = 1.7517153725861333018414881119896
absolute error = 2e-31
relative error = 1.1417379965372532782978479310993e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.878
y[1] (analytic) = 1.751949788658747809822449586829
y[1] (numeric) = 1.7519497886587478098224495868287
absolute error = 3e-31
relative error = 1.7123778429156525839830880125058e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.879
y[1] (analytic) = 1.7521846071257484595221627859969
y[1] (numeric) = 1.7521846071257484595221627859967
absolute error = 2e-31
relative error = 1.1414322394263943298317072996246e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.88
y[1] (analytic) = 1.7524198289401667045206862404778
y[1] (numeric) = 1.7524198289401667045206862404776
absolute error = 2e-31
relative error = 1.1412790285587931939225406013471e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.881
y[1] (analytic) = 1.7526554550547306510057621330689
y[1] (numeric) = 1.7526554550547306510057621330688
absolute error = 1e-31
relative error = 5.7056279779117951430860078791641e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.882
y[1] (analytic) = 1.7528914864218641050447895046453
y[1] (numeric) = 1.7528914864218641050447895046451
absolute error = 2e-31
relative error = 1.1409719400728864591107578413731e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.883
y[1] (analytic) = 1.7531279239936856201610975554078
y[1] (numeric) = 1.7531279239936856201610975554076
absolute error = 2e-31
relative error = 1.1408180616072393120857440172047e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.884
y[1] (analytic) = 1.7533647687220075452154714647648
y[1] (numeric) = 1.7533647687220075452154714647646
absolute error = 2e-31
relative error = 1.1406639597633525703965225879707e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.885
y[1] (analytic) = 1.7536020215583350725938828482396
y[1] (numeric) = 1.7536020215583350725938828482394
absolute error = 2e-31
relative error = 1.1405096341202343257560925228405e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.886
y[1] (analytic) = 1.7538396834538652867023766635958
y[1] (numeric) = 1.7538396834538652867023766635955
absolute error = 3e-31
relative error = 1.7105326263869515940877002433453e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.887
y[1] (analytic) = 1.754077755359486212770066071213
y[1] (numeric) = 1.7540777553594862127700660712128
absolute error = 2e-31
relative error = 1.1402003097577129406363993050332e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.888
y[1] (analytic) = 1.7543162382257758659611864456405
y[1] (numeric) = 1.7543162382257758659611864456403
absolute error = 2e-31
relative error = 1.1400453102017090734209003598633e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.889
y[1] (analytic) = 1.7545551330030013007971594261932
y[1] (numeric) = 1.754555133003001300797159426193
absolute error = 2e-31
relative error = 1.1398900851732761406356418667746e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.89
y[1] (analytic) = 1.7547944406411176608896175844488
y[1] (numeric) = 1.7547944406411176608896175844486
absolute error = 2e-31
relative error = 1.1397346342568169963260116529814e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.891
y[1] (analytic) = 1.7550341620897672289853399755412
y[1] (numeric) = 1.755034162089767228985339975541
absolute error = 2e-31
relative error = 1.1395789570378192756892393589781e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.892
y[1] (analytic) = 1.7552742982982784773240485282357
y[1] (numeric) = 1.7552742982982784773240485282355
absolute error = 2e-31
relative error = 1.1394230531028573328386770618667e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=240.3MB, alloc=4.4MB, time=12.20
x[1] = 1.893
y[1] (analytic) = 1.7555148502156651183100149159105
y[1] (numeric) = 1.7555148502156651183100149159103
absolute error = 2e-31
relative error = 1.1392669220395941763019802323290e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.894
y[1] (analytic) = 1.7557558187906251554984272367584
y[1] (numeric) = 1.7557558187906251554984272367582
absolute error = 2e-31
relative error = 1.1391105634367834022195972922145e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.895
y[1] (analytic) = 1.755997204971539934897465516763
y[1] (numeric) = 1.7559972049715399348974655167628
absolute error = 2e-31
relative error = 1.1389539768842711252099725928389e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.896
y[1] (analytic) = 1.7562390097064731965870347332948
y[1] (numeric) = 1.7562390097064731965870347332946
absolute error = 2e-31
relative error = 1.1387971619729979068678647114472e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.897
y[1] (analytic) = 1.7564812339431701266551037405154
y[1] (numeric) = 1.7564812339431701266551037405152
absolute error = 2e-31
relative error = 1.1386401182950006818621795665505e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.898
y[1] (analytic) = 1.7567238786290564094525981601716
y[1] (numeric) = 1.7567238786290564094525981601714
absolute error = 2e-31
relative error = 1.1384828454434146815997159836296e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.899
y[1] (analytic) = 1.7569669447112372801677949828071
y[1] (numeric) = 1.7569669447112372801677949828069
absolute error = 2e-31
relative error = 1.1383253430124753554212200026363e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.9
y[1] (analytic) = 1.7572104331364965777211663049197
y[1] (numeric) = 1.7572104331364965777211663049195
absolute error = 2e-31
relative error = 1.1381676105975202892961434094269e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.901
y[1] (analytic) = 1.7574543448512957979816193071394
y[1] (numeric) = 1.7574543448512957979816193071392
absolute error = 2e-31
relative error = 1.1380096477949911219825016963385e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.902
y[1] (analytic) = 1.75769868080177314730507925711
y[1] (numeric) = 1.7576986808017731473050792571099
absolute error = 1e-31
relative error = 5.6892572710121772930911345707151e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.903
y[1] (analytic) = 1.757943441933742596396361998412
y[1] (numeric) = 1.7579434419337425963963619984119
absolute error = 1e-31
relative error = 5.6884651470925439085520583508841e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.904
y[1] (analytic) = 1.7581886291926929344952820635746
y[1] (numeric) = 1.7581886291926929344952820635745
absolute error = 1e-31
relative error = 5.6876718652148817974442092854921e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.905
y[1] (analytic) = 1.7584342435237868238879422249912
y[1] (numeric) = 1.7584342435237868238879422249911
absolute error = 1e-31
relative error = 5.6868774233835757579510878251201e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.906
y[1] (analytic) = 1.7586802858718598547441499723694
y[1] (numeric) = 1.7586802858718598547441499723692
absolute error = 2e-31
relative error = 1.1372163639217157120394640382754e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.907
y[1] (analytic) = 1.7589267571814196002819060792194
y[1] (numeric) = 1.7589267571814196002819060792193
absolute error = 1e-31
relative error = 5.6852850519054204474726874408224e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.908
y[1] (analytic) = 1.759173658396644672259910093816
y[1] (numeric) = 1.7591736583966446722599100938159
absolute error = 1e-31
relative error = 5.6844871182952186236056703332353e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.909
y[1] (analytic) = 1.7594209904613837767990272620466
y[1] (numeric) = 1.7594209904613837767990272620465
absolute error = 1e-31
relative error = 5.6836880168046867263185717190515e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.91
y[1] (analytic) = 1.7596687543191547705336610606025
y[1] (numeric) = 1.7596687543191547705336610606024
absolute error = 1e-31
relative error = 5.6828877454661442863963010824468e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.911
y[1] (analytic) = 1.7599169509131437170939751890608
y[1] (numeric) = 1.7599169509131437170939751890607
absolute error = 1e-31
relative error = 5.6820863023175261725009315366146e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.912
y[1] (analytic) = 1.7601655811862039439199085385568
y[1] (numeric) = 1.7601655811862039439199085385567
absolute error = 1e-31
relative error = 5.6812836854023920214641679735280e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.913
y[1] (analytic) = 1.760414646080855099407926322953
y[1] (numeric) = 1.7604146460808550994079263229529
absolute error = 1e-31
relative error = 5.6804798927699356538898962291495e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.914
y[1] (analytic) = 1.7606641465392822103914502256754
y[1] (numeric) = 1.7606641465392822103914502256753
absolute error = 1e-31
relative error = 5.6796749224749944748990170438064e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.915
y[1] (analytic) = 1.760914083503334739955910081708
y[1] (numeric) = 1.7609140835033347399559100817079
absolute error = 1e-31
relative error = 5.6788687725780588598488052833906e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.916
y[1] (analytic) = 1.7611644579145256455893592796158
y[1] (numeric) = 1.7611644579145256455893592796157
absolute error = 1e-31
relative error = 5.6780614411452815248590743471971e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.917
y[1] (analytic) = 1.7614152707140304376695957329015
y[1] (numeric) = 1.7614152707140304376695957329014
absolute error = 1e-31
relative error = 5.6772529262484868819774679295555e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.918
y[1] (analytic) = 1.7616665228426862382887299334981
y[1] (numeric) = 1.7616665228426862382887299334979
absolute error = 2e-31
relative error = 1.1352886451930360757632492663609e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.919
y[1] (analytic) = 1.7619182152409908404161412627486
y[1] (numeric) = 1.7619182152409908404161412627485
absolute error = 1e-31
relative error = 5.6756323383785578224929823454826e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.92
y[1] (analytic) = 1.762170348849101767400763396841
y[1] (numeric) = 1.7621703488491017674007633968408
absolute error = 2e-31
relative error = 1.1349640523155029375415264707095e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=244.1MB, alloc=4.4MB, time=12.39
x[1] = 1.921
y[1] (analytic) = 1.7624229246068353328136393043312
y[1] (numeric) = 1.762422924606835332813639304331
absolute error = 2e-31
relative error = 1.1348013987313310817577003461525e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.922
y[1] (analytic) = 1.7626759434536657006316859931244
y[1] (numeric) = 1.7626759434536657006316859931243
absolute error = 1e-31
relative error = 5.6731925327163026555396798736181e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.923
y[1] (analytic) = 1.762929406328723945763608823069
y[1] (numeric) = 1.7629294063287239457636088230689
absolute error = 1e-31
relative error = 5.6723768768625065927225792609571e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.924
y[1] (analytic) = 1.763183314170797114918904858171
y[1] (numeric) = 1.763183314170797114918904858171
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.925
y[1] (analytic) = 1.7634376679183272878208943893491
y[1] (numeric) = 1.763437667918327287820894389349
absolute error = 1e-31
relative error = 5.6707419728674781132054048070840e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.926
y[1] (analytic) = 1.7636924685094106387647194146175
y[1] (numeric) = 1.7636924685094106387647194146174
absolute error = 1e-31
relative error = 5.6699227209670666036804612811479e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.927
y[1] (analytic) = 1.7639477168817964985212475186234
y[1] (numeric) = 1.7639477168817964985212475186232
absolute error = 2e-31
relative error = 1.1338204533269744001326740158132e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.928
y[1] (analytic) = 1.7642034139728864165878192475534
y[1] (numeric) = 1.7642034139728864165878192475533
absolute error = 1e-31
relative error = 5.6682806080057202514113317131341e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.929
y[1] (analytic) = 1.7644595607197332237867767285873
y[1] (numeric) = 1.7644595607197332237867767285871
absolute error = 2e-31
relative error = 1.1334915486440440003959944309053e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.93
y[1] (analytic) = 1.7647161580590400952127109352881
y[1] (numeric) = 1.7647161580590400952127109352879
absolute error = 2e-31
relative error = 1.1333267340849543474925861520100e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.931
y[1] (analytic) = 1.7649732069271596135293646516072
y[1] (numeric) = 1.764973206927159613529364651607
absolute error = 2e-31
relative error = 1.1331616775543153809058189341749e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.932
y[1] (analytic) = 1.7652307082600928326171278375206
y[1] (numeric) = 1.7652307082600928326171278375203
absolute error = 3e-31
relative error = 1.6994945680255941048272321201594e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.933
y[1] (analytic) = 1.7654886629934883415720617487238
y[1] (numeric) = 1.7654886629934883415720617487236
absolute error = 2e-31
relative error = 1.1328308371059625475872395252495e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.934
y[1] (analytic) = 1.7657470720626413290573878112846
y[1] (numeric) = 1.7657470720626413290573878112844
absolute error = 2e-31
relative error = 1.1326650524549465914319614766490e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.935
y[1] (analytic) = 1.7660059364024926480083768996838
y[1] (numeric) = 1.7660059364024926480083768996836
absolute error = 2e-31
relative error = 1.1324990243657807664447813883266e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.936
y[1] (analytic) = 1.7662652569476278806915743132802
y[1] (numeric) = 1.76626525694762788069157431328
absolute error = 2e-31
relative error = 1.1323327524747335648970673251098e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.937
y[1] (analytic) = 1.7665250346322764041192953918943
y[1] (numeric) = 1.7665250346322764041192953918941
absolute error = 2e-31
relative error = 1.1321662364192445422041859439595e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.938
y[1] (analytic) = 1.7667852703903104558203263559382
y[1] (numeric) = 1.766785270390310455820326355938
absolute error = 2e-31
relative error = 1.1319994758379261157171230811654e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.939
y[1] (analytic) = 1.7670459651552441999677646003138
y[1] (numeric) = 1.7670459651552441999677646003136
absolute error = 2e-31
relative error = 1.1318324703705653597074272763724e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.94
y[1] (analytic) = 1.7673071198602327938649323141593
y[1] (numeric) = 1.7673071198602327938649323141591
absolute error = 2e-31
relative error = 1.1316652196581257965122914913287e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.941
y[1] (analytic) = 1.7675687354380714547902969404544
y[1] (numeric) = 1.7675687354380714547902969404542
absolute error = 2e-31
relative error = 1.1314977233427491838066104602171e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.942
y[1] (analytic) = 1.7678308128211945272023316304852
y[1] (numeric) = 1.767830812821194527202331630485
absolute error = 2e-31
relative error = 1.1313299810677572979688738738068e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.943
y[1] (analytic) = 1.7680933529416745503052484882302
y[1] (numeric) = 1.7680933529416745503052484882301
absolute error = 1e-31
relative error = 5.6558099623882685675388947622984e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.944
y[1] (analytic) = 1.7683563567312213259765370388576
y[1] (numeric) = 1.7683563567312213259765370388574
absolute error = 2e-31
relative error = 1.1309937572181255785164699042259e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.945
y[1] (analytic) = 1.768619825121180987057239993716
y[1] (numeric) = 1.7686198251211809870572399937158
absolute error = 2e-31
relative error = 1.1308252749360453861213362948715e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.946
y[1] (analytic) = 1.7688837590425350660058980214677
y[1] (numeric) = 1.7688837590425350660058980214675
absolute error = 2e-31
relative error = 1.1306565452794727418923274776371e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.947
y[1] (analytic) = 1.7691481594258995639170948713391
y[1] (numeric) = 1.7691481594258995639170948713389
absolute error = 2e-31
relative error = 1.1304875678976561271817659428022e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.948
y[1] (analytic) = 1.7694130272015240199055338298682
y[1] (numeric) = 1.769413027201524019905533829868
absolute error = 2e-31
relative error = 1.1303183424410346583586687516393e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.949
y[1] (analytic) = 1.7696783632992905808565761269936
y[1] (numeric) = 1.7696783632992905808565761269934
absolute error = 2e-31
relative error = 1.1301488685612398419056131170196e-29 %
Correct digits = 30
h = 0.001
memory used=247.9MB, alloc=4.4MB, time=12.58
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.95
y[1] (analytic) = 1.7699441686487130715441715408693
y[1] (numeric) = 1.7699441686487130715441715408691
absolute error = 2e-31
relative error = 1.1299791459110973253452096846678e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.951
y[1] (analytic) = 1.7702104441789360651171110833982
y[1] (numeric) = 1.770210444178936065117111083398
absolute error = 2e-31
relative error = 1.1298091741446286439632751557451e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.952
y[1] (analytic) = 1.7704771908187339539545312801525
y[1] (numeric) = 1.7704771908187339539545312801523
absolute error = 2e-31
relative error = 1.1296389529170529632958245739457e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.953
y[1] (analytic) = 1.7707444094965100208915991891009
y[1] (numeric) = 1.7707444094965100208915991891007
absolute error = 2e-31
relative error = 1.1294684818847888173470328794582e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.954
y[1] (analytic) = 1.7710121011402955108163069323792
y[1] (numeric) = 1.771012101140295510816306932379
absolute error = 2e-31
relative error = 1.1292977607054558425053452088237e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.955
y[1] (analytic) = 1.7712802666777487026383041442326
y[1] (numeric) = 1.7712802666777487026383041442324
absolute error = 2e-31
relative error = 1.1291267890378765071249458947299e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.956
y[1] (analytic) = 1.7715489070361539816306963662199
y[1] (numeric) = 1.7715489070361539816306963662197
absolute error = 2e-31
relative error = 1.1289555665420778367398271939145e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.957
y[1] (analytic) = 1.7718180231424209121457370478045
y[1] (numeric) = 1.7718180231424209121457370478043
absolute error = 2e-31
relative error = 1.1287840928792931348777304454084e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.958
y[1] (analytic) = 1.7720876159230833107053404365617
y[1] (numeric) = 1.7720876159230833107053404365615
absolute error = 2e-31
relative error = 1.1286123677119636994412646360993e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.959
y[1] (analytic) = 1.7723576863042983194673422674137
y[1] (numeric) = 1.7723576863042983194673422674134
absolute error = 3e-31
relative error = 1.6926605860556108019353103401746e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.96
y[1] (analytic) = 1.7726282352118454800684347845526
y[1] (numeric) = 1.7726282352118454800684347845523
absolute error = 3e-31
relative error = 1.6924022422792290874885343553745e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.961
y[1] (analytic) = 1.7728992635711258078447022530412
y[1] (numeric) = 1.7728992635711258078447022530409
absolute error = 3e-31
relative error = 1.6921435197379137075655190013346e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.962
y[1] (analytic) = 1.7731707723071608664306827394771
y[1] (numeric) = 1.7731707723071608664306827394769
absolute error = 2e-31
relative error = 1.1279229452884001241918550268676e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.963
y[1] (analytic) = 1.7734427623445918427378815625828
y[1] (numeric) = 1.7734427623445918427378815625826
absolute error = 2e-31
relative error = 1.1277499575773658738306930117482e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.964
y[1] (analytic) = 1.7737152346076786223136614351295
y[1] (numeric) = 1.7737152346076786223136614351293
absolute error = 2e-31
relative error = 1.1275767163618981097662712932871e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.965
y[1] (analytic) = 1.7739881900202988650814339382292
y[1] (numeric) = 1.773988190020298865081433938229
absolute error = 2e-31
relative error = 1.1274032213129417699890068535204e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.966
y[1] (analytic) = 1.7742616295059470814630765877257
y[1] (numeric) = 1.7742616295059470814630765877255
absolute error = 2e-31
relative error = 1.1272294721026633544192444269902e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.967
y[1] (analytic) = 1.7745355539877337088844993701903
y[1] (numeric) = 1.7745355539877337088844993701901
absolute error = 2e-31
relative error = 1.1270554684044525999273193135005e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.968
y[1] (analytic) = 1.7748099643883841886652842428788
y[1] (numeric) = 1.7748099643883841886652842428786
absolute error = 2e-31
relative error = 1.1268812098929241505957551488523e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.969
y[1] (analytic) = 1.7750848616302380432933207079341
y[1] (numeric) = 1.7750848616302380432933207079339
absolute error = 2e-31
relative error = 1.1267066962439192231912964821063e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.97
y[1] (analytic) = 1.7753602466352479540853601861207
y[1] (numeric) = 1.7753602466352479540853601861205
absolute error = 2e-31
relative error = 1.1265319271345072678145155450054e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.971
y[1] (analytic) = 1.7756361203249788392344115294612
y[1] (numeric) = 1.775636120324978839234411529461
absolute error = 2e-31
relative error = 1.1263569022429876236947727454352e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.972
y[1] (analytic) = 1.7759124836206069322448996253009
y[1] (numeric) = 1.7759124836206069322448996253007
absolute error = 2e-31
relative error = 1.1261816212488911700983511727806e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.973
y[1] (analytic) = 1.7761893374429188607565086565671
y[1] (numeric) = 1.7761893374429188607565086565669
absolute error = 2e-31
relative error = 1.1260060838329819723176267692309e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.974
y[1] (analytic) = 1.7764666827123107257576311943006
y[1] (numeric) = 1.7764666827123107257576311943005
absolute error = 1e-31
relative error = 5.6291514483862946135458889901216e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.975
y[1] (analytic) = 1.7767445203487871811893439089365
y[1] (numeric) = 1.7767445203487871811893439089364
absolute error = 1e-31
relative error = 5.6282711923247868837438991387933e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.976
y[1] (analytic) = 1.7770228512719605139408302962787
y[1] (numeric) = 1.7770228512719605139408302962785
absolute error = 2e-31
relative error = 1.1254779298805507840712756517146e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.977
y[1] (analytic) = 1.7773016764010497242371704226714
y[1] (numeric) = 1.7773016764010497242371704226712
absolute error = 2e-31
relative error = 1.1253013636097523144633533730692e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=251.7MB, alloc=4.4MB, time=12.76
TOP MAIN SOLVE Loop
x[1] = 1.978
y[1] (analytic) = 1.7775809966548796064204173014999
y[1] (numeric) = 1.7775809966548796064204173014998
absolute error = 1e-31
relative error = 5.6256226966975823938865515567972e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.979
y[1] (analytic) = 1.7778608129518798301248791198681
y[1] (numeric) = 1.7778608129518798301248791198679
absolute error = 2e-31
relative error = 1.1249474567580407447339254229941e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.98
y[1] (analytic) = 1.7781411262100840218475261400928
y[1] (numeric) = 1.7781411262100840218475261400926
absolute error = 2e-31
relative error = 1.1247701155547671475826085793987e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.981
y[1] (analytic) = 1.778421937347128846914440705534
y[1] (numeric) = 1.7784219373471288469144407055338
absolute error = 2e-31
relative error = 1.1245925154203838955870413108881e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.982
y[1] (analytic) = 1.7787032472802530918442283842316
y[1] (numeric) = 1.7787032472802530918442283842314
absolute error = 2e-31
relative error = 1.1244146560468269703045705029565e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.983
y[1] (analytic) = 1.7789850569262967471093078868628
y[1] (numeric) = 1.7789850569262967471093078868626
absolute error = 2e-31
relative error = 1.1242365371272817216276640246810e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.984
y[1] (analytic) = 1.7792673672017000902959969976537
y[1] (numeric) = 1.7792673672017000902959969976535
absolute error = 2e-31
relative error = 1.1240581583561844575557853766858e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.985
y[1] (analytic) = 1.7795501790225027696643113580819
y[1] (numeric) = 1.7795501790225027696643113580817
absolute error = 2e-31
relative error = 1.1238795194292240286660931689082e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.986
y[1] (analytic) = 1.7798334933043428881083925434957
y[1] (numeric) = 1.7798334933043428881083925434954
absolute error = 3e-31
relative error = 1.6855509300650151108771308647863e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.987
y[1] (analytic) = 1.780117310962456087518481472145
y[1] (numeric) = 1.7801173109624560875184814721447
absolute error = 3e-31
relative error = 1.6852821898451118916410598141554e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.988
y[1] (analytic) = 1.7804016329116746335453527845752
y[1] (numeric) = 1.7804016329116746335453527845749
absolute error = 3e-31
relative error = 1.6850130580333102827656516004252e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.989
y[1] (analytic) = 1.7806864600664265007681254288717
y[1] (numeric) = 1.7806864600664265007681254288714
absolute error = 3e-31
relative error = 1.6847435341806824219535271523134e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.99
y[1] (analytic) = 1.7809717933407344582663642838697
y[1] (numeric) = 1.7809717933407344582663642838694
absolute error = 3e-31
relative error = 1.6844736178401910233741920763372e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.991
y[1] (analytic) = 1.781257633648215155597387248151
y[1] (numeric) = 1.7812576336482151555973872481507
absolute error = 3e-31
relative error = 1.6842033085666917056685014235341e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.992
y[1] (analytic) = 1.7815439819020782091796918174444
y[1] (numeric) = 1.781543981902078209179691817444
absolute error = 4e-31
relative error = 2.2452434745559137488956621916198e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.993
y[1] (analytic) = 1.7818308390151252890834147669267
y[1] (numeric) = 1.7818308390151252890834147669263
absolute error = 4e-31
relative error = 2.2448820125994269597447884984892e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.994
y[1] (analytic) = 1.7821182058997492062287381478896
y[1] (numeric) = 1.7821182058997492062287381478892
absolute error = 4e-31
relative error = 2.2445200249668595294842188139933e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.995
y[1] (analytic) = 1.7824060834679329999931544002892
y[1] (numeric) = 1.7824060834679329999931544002888
absolute error = 4e-31
relative error = 2.2441575110748119251035975259625e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.996
y[1] (analytic) = 1.7826944726312490262285029738377
y[1] (numeric) = 1.7826944726312490262285029738373
absolute error = 4e-31
relative error = 2.2437944703424238393775898553187e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.997
y[1] (analytic) = 1.7829833743008580456886904405244
y[1] (numeric) = 1.7829833743008580456886904405239
absolute error = 5e-31
relative error = 2.8042886277392215346094182193312e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.998
y[1] (analytic) = 1.7832727893875083128690056707697
y[1] (numeric) = 1.7832727893875083128690056707692
absolute error = 5e-31
relative error = 2.8038335075573741667859069628382e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.999
y[1] (analytic) = 1.7835627188015346652579412338221
y[1] (numeric) = 1.7835627188015346652579412338216
absolute error = 5e-31
relative error = 2.8033777266659571274270343754056e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2
y[1] (analytic) = 1.7838531634528576130024317704992
y[1] (numeric) = 1.7838531634528576130024317704987
absolute error = 5e-31
relative error = 2.8029212843516289786318084897127e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.001
y[1] (analytic) = 1.7841441242509824289874196729599
y[1] (numeric) = 1.7841441242509824289874196729594
absolute error = 5e-31
relative error = 2.8024641799042411514157454268068e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.002
y[1] (analytic) = 1.7844356021049982393306579918652
y[1] (numeric) = 1.7844356021049982393306579918648
absolute error = 4e-31
relative error = 2.2416051300934733357027107462331e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.003
y[1] (analytic) = 1.7847275979235771142936600760504
y[1] (numeric) = 1.78472759792357711429366007605
absolute error = 4e-31
relative error = 2.2412383854285430873749885134014e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.004
y[1] (analytic) = 1.7850201126149731596097050336811
y[1] (numeric) = 1.7850201126149731596097050336807
absolute error = 4e-31
relative error = 2.2408711093681640342177585921982e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.005
y[1] (analytic) = 1.7853131470870216082298076868143
y[1] (numeric) = 1.7853131470870216082298076868138
absolute error = 5e-31
relative error = 2.8006291266930802192428633561272e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=255.5MB, alloc=4.4MB, time=12.95
TOP MAIN SOLVE Loop
x[1] = 2.006
y[1] (analytic) = 1.7856067022471379124875612733165
y[1] (numeric) = 1.785606702247137912487561273316
absolute error = 5e-31
relative error = 2.8001687010401757288049901847254e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.007
y[1] (analytic) = 1.785900779002316836683760731223
y[1] (numeric) = 1.7859007790023168366837607312225
absolute error = 5e-31
relative error = 2.7997076090605779027478235984085e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.008
y[1] (analytic) = 1.786195378259131550091713980837
y[1] (numeric) = 1.7861953782591315500917139808365
absolute error = 5e-31
relative error = 2.7992458500665916983379667606225e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.009
y[1] (analytic) = 1.7864905009237327203841481991833
y[1] (numeric) = 1.7864905009237327203841481991828
absolute error = 5e-31
relative error = 2.7987834233737443185737130827319e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.01
y[1] (analytic) = 1.7867861479018476074826176598346
y[1] (numeric) = 1.786786147901847607482617659834
absolute error = 6e-31
relative error = 3.3579843939609465801070778647027e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.011
y[1] (analytic) = 1.7870823200987791578303192886257
y[1] (numeric) = 1.7870823200987791578303192886252
absolute error = 5e-31
relative error = 2.7978565641697076857999947074750e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.012
y[1] (analytic) = 1.7873790184194050990892216623671
y[1] (numeric) = 1.7873790184194050990892216623666
absolute error = 5e-31
relative error = 2.7973921303057164322143352604370e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.013
y[1] (analytic) = 1.7876762437681770352624127533505
y[1] (numeric) = 1.78767624376817703526241275335
absolute error = 5e-31
relative error = 2.7969270260372671346695157771718e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.014
y[1] (analytic) = 1.7879739970491195422425712972258
y[1] (numeric) = 1.7879739970491195422425712972252
absolute error = 6e-31
relative error = 3.3557535008352623845010346726848e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.015
y[1] (analytic) = 1.7882722791658292637874662357007
y[1] (numeric) = 1.7882722791658292637874662357001
absolute error = 6e-31
relative error = 3.3551937643404081913832164396327e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.016
y[1] (analytic) = 1.7885710910214740079233882584902
y[1] (numeric) = 1.7885710910214740079233882584896
absolute error = 6e-31
relative error = 3.3546332209659775718878121591412e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.017
y[1] (analytic) = 1.7888704335187918437774170410067
y[1] (numeric) = 1.7888704335187918437774170410062
absolute error = 5e-31
relative error = 2.7950598916014090805691110504979e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.018
y[1] (analytic) = 1.7891703075600901988394273454509
y[1] (numeric) = 1.7891703075600901988394273454504
absolute error = 5e-31
relative error = 2.7945914253509779116294109726580e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.019
y[1] (analytic) = 1.7894707140472449566547367232197
y[1] (numeric) = 1.7894707140472449566547367232192
absolute error = 5e-31
relative error = 2.7941222847349665057271580286912e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.02
y[1] (analytic) = 1.7897716538816995549482971259098
y[1] (numeric) = 1.7897716538816995549482971259093
absolute error = 5e-31
relative error = 2.7936524691045812766095247245565e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.021
y[1] (analytic) = 1.7900731279644640841813323006501
y[1] (numeric) = 1.7900731279644640841813323006496
absolute error = 5e-31
relative error = 2.7931819778142931150854237445240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.022
y[1] (analytic) = 1.7903751371961143865413224130491
y[1] (numeric) = 1.7903751371961143865413224130486
absolute error = 5e-31
relative error = 2.7927108102218408055708071486072e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.023
y[1] (analytic) = 1.7906776824767911553662369076997
y[1] (numeric) = 1.7906776824767911553662369076992
absolute error = 5e-31
relative error = 2.7922389656882344264850676647531e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.024
y[1] (analytic) = 1.790980764706199035003916181931
y[1] (numeric) = 1.7909807647061990350039161819306
absolute error = 4e-31
relative error = 2.2334131548622069875404074497291e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.025
y[1] (analytic) = 1.7912843847836057211075022133532
y[1] (numeric) = 1.7912843847836057211075022133528
absolute error = 4e-31
relative error = 2.2330345946063812256376303937393e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.026
y[1] (analytic) = 1.7915885436078410613678178456872
y[1] (numeric) = 1.7915885436078410613678178456867
absolute error = 5e-31
relative error = 2.7908193640997320195744076117375e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.027
y[1] (analytic) = 1.7918932420772961566835940004265
y[1] (numeric) = 1.7918932420772961566835940004261
absolute error = 4e-31
relative error = 2.2322758443817233038996350081868e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.028
y[1] (analytic) = 1.7921984810899224627704436440295
y[1] (numeric) = 1.7921984810899224627704436440291
absolute error = 4e-31
relative error = 2.2318956534141278776133239537949e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.029
y[1] (analytic) = 1.7925042615432308922094809015914
y[1] (numeric) = 1.792504261543230892209480901591
absolute error = 4e-31
relative error = 2.2315149178815660065984247001833e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.03
y[1] (analytic) = 1.7928105843342909169364832683039
y[1] (numeric) = 1.7928105843342909169364832683035
absolute error = 4e-31
relative error = 2.2311336372912400714508947126260e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.031
y[1] (analytic) = 1.7931174503597296711724944294644
y[1] (numeric) = 1.793117450359729671172494429464
absolute error = 4e-31
relative error = 2.2307518111529907784381264237125e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.032
y[1] (analytic) = 1.7934248605157310547967647583578
y[1] (numeric) = 1.7934248605157310547967647583574
absolute error = 4e-31
relative error = 2.2303694389792997609326867940346e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.033
y[1] (analytic) = 1.7937328156980348371629261189952
y[1] (numeric) = 1.7937328156980348371629261189949
absolute error = 3e-31
relative error = 1.6724898902139691255120690198662e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=259.4MB, alloc=4.4MB, time=13.14
TOP MAIN SOLVE Loop
x[1] = 2.034
y[1] (analytic) = 1.7940413168019357613592971574606
y[1] (numeric) = 1.7940413168019357613592971574603
absolute error = 3e-31
relative error = 1.6722022909415544266467849921633e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.035
y[1] (analytic) = 1.7943503647222826489142148214845
y[1] (numeric) = 1.7943503647222826489142148214842
absolute error = 3e-31
relative error = 1.6719142810575456401335513528890e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.036
y[1] (analytic) = 1.7946599603534775049472874028402
y[1] (numeric) = 1.7946599603534775049472874028399
absolute error = 3e-31
relative error = 1.6716258602042460799814356173706e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.037
y[1] (analytic) = 1.7949701045894746237674639512328
y[1] (numeric) = 1.7949701045894746237674639512325
absolute error = 3e-31
relative error = 1.6713370280259493582160364206701e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.038
y[1] (analytic) = 1.7952807983237796949188144615396
y[1] (numeric) = 1.7952807983237796949188144615392
absolute error = 4e-31
relative error = 2.2280637122252550327762296415937e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.039
y[1] (analytic) = 1.7955920424494489096749147885443
y[1] (numeric) = 1.7955920424494489096749147885439
absolute error = 4e-31
relative error = 2.2276775043753355944931115921797e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.04
y[1] (analytic) = 1.7959038378590880679827297947086
y[1] (numeric) = 1.7959038378590880679827297947082
absolute error = 4e-31
relative error = 2.2272907466852085664286002285147e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.041
y[1] (analytic) = 1.7962161854448516858568877870212
y[1] (numeric) = 1.7962161854448516858568877870208
absolute error = 4e-31
relative error = 2.2269034386912387447715275375726e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.042
y[1] (analytic) = 1.7965290860984421032252388485767
y[1] (numeric) = 1.7965290860984421032252388485763
absolute error = 4e-31
relative error = 2.2265155799324571155023796358567e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.043
y[1] (analytic) = 1.7968425407111085922265892192514
y[1] (numeric) = 1.796842540711108592226589219251
absolute error = 4e-31
relative error = 2.2261271699505633042609809325344e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.044
y[1] (analytic) = 1.7971565501736464659615034276672
y[1] (numeric) = 1.7971565501736464659615034276668
absolute error = 4e-31
relative error = 2.2257382082899280121005403726424e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.045
y[1] (analytic) = 1.7974711153763961876970654235676
y[1] (numeric) = 1.7974711153763961876970654235672
absolute error = 4e-31
relative error = 2.2253486944975954370729699133449e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.046
y[1] (analytic) = 1.7977862372092424805264895057695
y[1] (numeric) = 1.7977862372092424805264895057691
absolute error = 4e-31
relative error = 2.2249586281232856815905575261990e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.047
y[1] (analytic) = 1.798101916561613437484471386007
y[1] (numeric) = 1.7981019165616134374844713860066
absolute error = 4e-31
relative error = 2.2245680087193971455092503522428e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.048
y[1] (analytic) = 1.7984181543224796321191692732408
y[1] (numeric) = 1.7984181543224796321191692732404
absolute error = 4e-31
relative error = 2.2241768358410089048789781626947e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.049
y[1] (analytic) = 1.7987349513803532295217044063788
y[1] (numeric) = 1.7987349513803532295217044063784
absolute error = 4e-31
relative error = 2.2237851090458830763066229942521e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.05
y[1] (analytic) = 1.7990523086232870978140700058326
y[1] (numeric) = 1.7990523086232870978140700058322
absolute error = 4e-31
relative error = 2.2233928278944671668774177325493e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.051
y[1] (analytic) = 1.7993702269388739200963371559277
y[1] (numeric) = 1.7993702269388739200963371559273
absolute error = 4e-31
relative error = 2.2229999919498964095807345083253e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.052
y[1] (analytic) = 1.7996887072142453068540456708869
y[1] (numeric) = 1.7996887072142453068540456708864
absolute error = 5e-31
relative error = 2.7782582509724951052330038078896e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.053
y[1] (analytic) = 1.8000077503360709088266675369218
y[1] (numeric) = 1.8000077503360709088266675369213
absolute error = 5e-31
relative error = 2.7777658174341047793973494559548e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.054
y[1] (analytic) = 1.8003273571905575303380300618965
y[1] (numeric) = 1.800327357190557530338030061896
absolute error = 5e-31
relative error = 2.7772726887862148813359605773460e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.055
y[1] (analytic) = 1.8006475286634482430895854020646
y[1] (numeric) = 1.8006475286634482430895854020641
absolute error = 5e-31
relative error = 2.7767788644962119098867273024738e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.056
y[1] (analytic) = 1.8009682656400215004174126725371
y[1] (numeric) = 1.8009682656400215004174126725365
absolute error = 6e-31
relative error = 3.3315412128418276122453088908535e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.057
y[1] (analytic) = 1.8012895690050902520138383844053
y[1] (numeric) = 1.8012895690050902520138383844047
absolute error = 6e-31
relative error = 3.3309469522515425395039928512051e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.058
y[1] (analytic) = 1.8016114396430010591145604868246
y[1] (numeric) = 1.801611439643001059114560486824
absolute error = 6e-31
relative error = 3.3303518549976192896566025991281e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.059
y[1] (analytic) = 1.8019338784376332101521608268606
y[1] (numeric) = 1.80193387843763321015216082686
absolute error = 6e-31
relative error = 3.3297559204571369002848505725348e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.06
y[1] (analytic) = 1.8022568862723978368768903735121
y[1] (numeric) = 1.8022568862723978368768903735115
absolute error = 6e-31
relative error = 3.3291591480112365343809416609269e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.061
y[1] (analytic) = 1.8025804640302370309456110850522
y[1] (numeric) = 1.8025804640302370309456110850516
absolute error = 6e-31
relative error = 3.3285615370451247616539107041603e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=263.2MB, alloc=4.4MB, time=13.32
x[1] = 2.062
y[1] (analytic) = 1.8029046125936229609797778306716
y[1] (numeric) = 1.8029046125936229609797778306709
absolute error = 7e-31
relative error = 3.8826236014394229534222085378774e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.063
y[1] (analytic) = 1.8032293328445569900933433083681
y[1] (numeric) = 1.8032293328445569900933433083674
absolute error = 7e-31
relative error = 3.8819244299656798105247147714385e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.064
y[1] (analytic) = 1.8035546256645687938914684311058
y[1] (numeric) = 1.8035546256645687938914684311051
absolute error = 7e-31
relative error = 3.8812242780950754195671065250997e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.065
y[1] (analytic) = 1.8038804919347154789409201824576
y[1] (numeric) = 1.8038804919347154789409201824569
absolute error = 7e-31
relative error = 3.8805231451293604293761852922413e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.066
y[1] (analytic) = 1.8042069325355807017130384712612
y[1] (numeric) = 1.8042069325355807017130384712606
absolute error = 6e-31
relative error = 3.3255608831786118913979247956744e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.067
y[1] (analytic) = 1.8045339483472737880001530422488
y[1] (numeric) = 1.8045339483472737880001530422481
absolute error = 7e-31
relative error = 3.8791179331434135043814439650272e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.068
y[1] (analytic) = 1.8048615402494288528063310261577
y[1] (numeric) = 1.804861540249428852806331026157
absolute error = 7e-31
relative error = 3.8784138527505061036428638167983e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.069
y[1] (analytic) = 1.8051897091212039207133352385045
y[1] (numeric) = 1.8051897091212039207133352385038
absolute error = 7e-31
relative error = 3.8777087885171444279750017036106e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.07
y[1] (analytic) = 1.8055184558412800467226728609883
y[1] (numeric) = 1.8055184558412800467226728609875
absolute error = 8e-31
relative error = 4.4308602740216275782400961806379e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.071
y[1] (analytic) = 1.8058477812878604375746136634019
y[1] (numeric) = 1.8058477812878604375746136634012
absolute error = 7e-31
relative error = 3.8762957058362206564903100187904e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.072
y[1] (analytic) = 1.806177686338669573545056446961
y[1] (numeric) = 1.8061776863386695735450564469603
absolute error = 7e-31
relative error = 3.8755876860541927717778008387353e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.073
y[1] (analytic) = 1.806508171870952330721121912109
y[1] (numeric) = 1.8065081718709523307211219121082
absolute error = 8e-31
relative error = 4.4284327768717555119996933099560e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.074
y[1] (analytic) = 1.8068392387614731037563496751334
y[1] (numeric) = 1.8068392387614731037563496751327
absolute error = 7e-31
relative error = 3.8741686863067364634918059865831e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.075
y[1] (analytic) = 1.8071708878865149291063766783242
y[1] (numeric) = 1.8071708878865149291063766783234
absolute error = 8e-31
relative error = 4.4268088057549412621755422508811e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.076
y[1] (analytic) = 1.8075031201218786087459737579198
y[1] (numeric) = 1.807503120121878608745973757919
absolute error = 8e-31
relative error = 4.4259951260612849574053237872018e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.077
y[1] (analytic) = 1.8078359363428818343683166527347
y[1] (numeric) = 1.8078359363428818343683166527339
absolute error = 8e-31
relative error = 4.4251803159657326647206898430870e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.078
y[1] (analytic) = 1.8081693374243583120673672541219
y[1] (numeric) = 1.8081693374243583120673672541211
absolute error = 8e-31
relative error = 4.4243643747413487976672665522906e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.079
y[1] (analytic) = 1.8085033242406568875042404148176
y[1] (numeric) = 1.8085033242406568875042404148168
absolute error = 8e-31
relative error = 4.4235473016666918078902644646547e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.08
y[1] (analytic) = 1.8088378976656406715584311502276
y[1] (numeric) = 1.8088378976656406715584311502268
absolute error = 8e-31
relative error = 4.4227290960258179699119613242740e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.081
y[1] (analytic) = 1.8091730585726861664647765808559
y[1] (numeric) = 1.809173058572686166464776580855
absolute error = 9e-31
relative error = 4.9746484767468207755844344147640e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.082
y[1] (analytic) = 1.80950880783468239243702647884
y[1] (numeric) = 1.8095088078346823924370264788392
absolute error = 8e-31
relative error = 4.4210892842091564460004313130900e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.083
y[1] (analytic) = 1.809845146324030014778895794951
y[1] (numeric) = 1.8098451463240300147788957949502
absolute error = 8e-31
relative error = 4.4202676766290040371306045667392e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.084
y[1] (analytic) = 1.8101820749126404714834720549312
y[1] (numeric) = 1.8101820749126404714834720549303
absolute error = 9e-31
relative error = 4.9718755503831517632966976641679e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.085
y[1] (analytic) = 1.8105195944719351013218500256906
y[1] (numeric) = 1.8105195944719351013218500256897
absolute error = 9e-31
relative error = 4.9709486864874188309816450936011e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.086
y[1] (analytic) = 1.8108577058728442724218655626548
y[1] (numeric) = 1.810857705872844272421865562654
absolute error = 8e-31
relative error = 4.4177960388908371078919906550308e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.087
y[1] (analytic) = 1.8111964099858065113378000594578
y[1] (numeric) = 1.8111964099858065113378000594569
absolute error = 9e-31
relative error = 4.9690911214154453511164195117612e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.088
y[1] (analytic) = 1.811535707680767632611926430201
y[1] (numeric) = 1.8115357076807676326119264302001
absolute error = 9e-31
relative error = 4.9681604187213722932764549953316e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.089
y[1] (analytic) = 1.8118755998271798688287670626635
y[1] (numeric) = 1.8118755998271798688287670626626
absolute error = 9e-31
relative error = 4.9672284349203869568531191455897e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=267.0MB, alloc=4.4MB, time=13.53
x[1] = 2.09
y[1] (analytic) = 1.8122160872940010011629336881296
y[1] (numeric) = 1.8122160872940010011629336881286
absolute error = 1.0e-30
relative error = 5.5181057436323659491105431924488e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.091
y[1] (analytic) = 1.8125571709496934904214186199227
y[1] (numeric) = 1.8125571709496934904214186199217
absolute error = 1.0e-30
relative error = 5.5170673567005210903913239488972e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.092
y[1] (analytic) = 1.812898851662223608581206318283
y[1] (numeric) = 1.812898851662223608581206318282
absolute error = 1.0e-30
relative error = 5.5160275438594540401482465500822e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.093
y[1] (analytic) = 1.8132411302990605708230737439028
y[1] (numeric) = 1.8132411302990605708230737439018
absolute error = 1.0e-30
relative error = 5.5149863043039868876972892199046e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.094
y[1] (analytic) = 1.8135840077271756680624474662486
y[1] (numeric) = 1.8135840077271756680624474662476
absolute error = 1.0e-30
relative error = 5.5139436372358759733672047132905e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.095
y[1] (analytic) = 1.8139274848130413999781849957398
y[1] (numeric) = 1.8139274848130413999781849957387
absolute error = 1.1e-30
relative error = 6.0641894960501976066857715615684e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.096
y[1] (analytic) = 1.8142715624226306085401473109299
y[1] (numeric) = 1.8142715624226306085401473109289
absolute error = 1.0e-30
relative error = 5.5118540174034441391086119534601e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.097
y[1] (analytic) = 1.8146162414214156120364290530474
y[1] (numeric) = 1.8146162414214156120364290530464
absolute error = 1.0e-30
relative error = 5.5108070630773440039428066545168e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.098
y[1] (analytic) = 1.8149615226743673396011123605914
y[1] (numeric) = 1.8149615226743673396011123605903
absolute error = 1.1e-30
relative error = 6.0607345459265546722896054797961e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.099
y[1] (analytic) = 1.8153074070459544662434098161578
y[1] (numeric) = 1.8153074070459544662434098161567
absolute error = 1.1e-30
relative error = 6.0595797479283547301829395662677e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.1
y[1] (analytic) = 1.8156538954001425483790614762808
y[1] (numeric) = 1.8156538954001425483790614762798
absolute error = 1.0e-30
relative error = 5.5076576132347910101230451617762e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.101
y[1] (analytic) = 1.8160009886003931598648504528203
y[1] (numeric) = 1.8160009886003931598648504528193
absolute error = 1.0e-30
relative error = 5.5066049318106825087601851953621e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.102
y[1] (analytic) = 1.816348687509663028537101011307
y[1] (numeric) = 1.816348687509663028537101011306
absolute error = 1.0e-30
relative error = 5.5055508167380993058060059111140e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.103
y[1] (analytic) = 1.8166969929904031732550226476769
y[1] (numeric) = 1.8166969929904031732550226476759
absolute error = 1.0e-30
relative error = 5.5044952672813862511846229862647e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.104
y[1] (analytic) = 1.8170459059045580414497630999773
y[1] (numeric) = 1.8170459059045580414497630999763
absolute error = 1.0e-30
relative error = 5.5034382827118617268783370260015e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.105
y[1] (analytic) = 1.8173954271135646471800327459208
y[1] (numeric) = 1.8173954271135646471800327459199
absolute error = 9e-31
relative error = 4.9521418760770392073061189657531e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.106
y[1] (analytic) = 1.8177455574783517096951623305906
y[1] (numeric) = 1.8177455574783517096951623305896
absolute error = 1.0e-30
relative error = 5.5013200053545415816733339688466e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.107
y[1] (analytic) = 1.8180962978593387925064554611666
y[1] (numeric) = 1.8180962978593387925064554611656
absolute error = 1.0e-30
relative error = 5.5002587111442834211394681065588e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.108
y[1] (analytic) = 1.8184476491164354429676967972505
y[1] (numeric) = 1.8184476491164354429676967972495
absolute error = 1.0e-30
relative error = 5.4991959789762958857781876923906e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.109
y[1] (analytic) = 1.8187996121090403323656763562072
y[1] (numeric) = 1.8187996121090403323656763562061
absolute error = 1.1e-30
relative error = 6.0479449889725015337605600983486e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.11
y[1] (analytic) = 1.8191521876960403965215898429283
y[1] (numeric) = 1.8191521876960403965215898429272
absolute error = 1.1e-30
relative error = 6.0467728177989991610433709641495e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.111
y[1] (analytic) = 1.8195053767358099769041744025458
y[1] (numeric) = 1.8195053767358099769041744025447
absolute error = 1.1e-30
relative error = 6.0455990626056759138546338584162e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.112
y[1] (analytic) = 1.8198591800862099622554386828872
y[1] (numeric) = 1.8198591800862099622554386828861
absolute error = 1.1e-30
relative error = 6.0444237226524914191515909165143e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.113
y[1] (analytic) = 1.8202135986045869307298455808721
y[1] (numeric) = 1.820213598604586930729845580871
absolute error = 1.1e-30
relative error = 6.0432467972071110564429390572848e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.114
y[1] (analytic) = 1.820568633147772292547805533595
y[1] (numeric) = 1.8205686331477722925478055335939
absolute error = 1.1e-30
relative error = 6.0420682855449095929330118252890e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.115
y[1] (analytic) = 1.8209242845720814331643377005301
y[1] (numeric) = 1.8209242845720814331643377005291
absolute error = 1.0e-30
relative error = 5.4917165335899770640499389482950e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.116
y[1] (analytic) = 1.8212805537333128569537558681253
y[1] (numeric) = 1.8212805537333128569537558681243
absolute error = 1.0e-30
relative error = 5.4906422733728280400751121560619e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.117
y[1] (analytic) = 1.8216374414867473314112353920277
y[1] (numeric) = 1.8216374414867473314112353920267
absolute error = 1.0e-30
relative error = 5.4895665692062200657383949401672e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=270.8MB, alloc=4.4MB, time=13.72
x[1] = 2.118
y[1] (analytic) = 1.8219949486871470318721169753036
y[1] (numeric) = 1.8219949486871470318721169753025
absolute error = 1.1e-30
relative error = 6.0373383625054161587042645814923e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.119
y[1] (analytic) = 1.8223530761887546867498025632762
y[1] (numeric) = 1.8223530761887546867498025632752
absolute error = 1.0e-30
relative error = 5.4874108265089160407984705885023e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.12
y[1] (analytic) = 1.8227118248452927232930981170161
y[1] (numeric) = 1.8227118248452927232930981170151
absolute error = 1.0e-30
relative error = 5.4863307867379284134119552302458e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.121
y[1] (analytic) = 1.8230711955099624138638575080677
y[1] (numeric) = 1.8230711955099624138638575080667
absolute error = 1.0e-30
relative error = 5.4852493005369047181139648704216e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.122
y[1] (analytic) = 1.8234311890354430227357812566994
y[1] (numeric) = 1.8234311890354430227357812566984
absolute error = 1.0e-30
relative error = 5.4841663673032767055279666280683e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.123
y[1] (analytic) = 1.8237918062738909534152233148063
y[1] (numeric) = 1.8237918062738909534152233148053
absolute error = 1.0e-30
relative error = 5.4830819864415124184847322464475e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.124
y[1] (analytic) = 1.824153048076938896484858572587
y[1] (numeric) = 1.824153048076938896484858572586
absolute error = 1.0e-30
relative error = 5.4819961573631190539875393816644e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.125
y[1] (analytic) = 1.8245149152956949779710632452575
y[1] (numeric) = 1.8245149152956949779710632452565
absolute error = 1.0e-30
relative error = 5.4809088794866457803765289256018e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.126
y[1] (analytic) = 1.8248774087807419082358597723499
y[1] (numeric) = 1.8248774087807419082358597723489
absolute error = 1.0e-30
relative error = 5.4798201522376865095984732752881e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.127
y[1] (analytic) = 1.8252405293821361313942773375799
y[1] (numeric) = 1.8252405293821361313942773375789
absolute error = 1.0e-30
relative error = 5.4787299750488826244888595666962e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.128
y[1] (analytic) = 1.8256042779494069752579785918524
y[1] (numeric) = 1.8256042779494069752579785918514
absolute error = 1.0e-30
relative error = 5.4776383473599256609738433004675e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.129
y[1] (analytic) = 1.825968655331555801806002635707
y[1] (numeric) = 1.825968655331555801806002635706
absolute error = 1.0e-30
relative error = 5.4765452686175599451002814879439e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.13
y[1] (analytic) = 1.8263336623770551581834737903903
y[1] (numeric) = 1.8263336623770551581834737903893
absolute error = 1.0e-30
relative error = 5.4754507382755851848027104258427e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.131
y[1] (analytic) = 1.8266992999338479282291251587745
y[1] (numeric) = 1.8266992999338479282291251587735
absolute error = 1.0e-30
relative error = 5.4743547557948590163167914545474e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.132
y[1] (analytic) = 1.8270655688493464845324854485291
y[1] (numeric) = 1.8270655688493464845324854485282
absolute error = 9e-31
relative error = 4.9259315885789695546344677002090e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.133
y[1] (analytic) = 1.8274324699704318410215770002877
y[1] (numeric) = 1.8274324699704318410215770002868
absolute error = 9e-31
relative error = 4.9249425890662988413646379491231e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.134
y[1] (analytic) = 1.8278000041434528060819724330409
y[1] (numeric) = 1.8278000041434528060819724330399
absolute error = 1.0e-30
relative error = 5.4710580902346695501584863283447e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.135
y[1] (analytic) = 1.8281681722142251362080567876285
y[1] (numeric) = 1.8281681722142251362080567876275
absolute error = 1.0e-30
relative error = 5.4699562939487592544504212803333e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.136
y[1] (analytic) = 1.8285369750280306901873415169991
y[1] (numeric) = 1.8285369750280306901873415169981
absolute error = 1.0e-30
relative error = 5.4688530429343405947114673921903e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.137
y[1] (analytic) = 1.8289064134296165838186761388508
y[1] (numeric) = 1.8289064134296165838186761388498
absolute error = 1.0e-30
relative error = 5.4677483366946697006354624184952e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.138
y[1] (analytic) = 1.8292764882631943451652028323722
y[1] (numeric) = 1.8292764882631943451652028323712
absolute error = 1.0e-30
relative error = 5.4666421747400771777518222117551e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.139
y[1] (analytic) = 1.8296472003724390703428987260587
y[1] (numeric) = 1.8296472003724390703428987260578
absolute error = 9e-31
relative error = 4.9189811009291732590499688806209e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.14
y[1] (analytic) = 1.8300185506004885798455500879914
y[1] (numeric) = 1.8300185506004885798455500879905
absolute error = 9e-31
relative error = 4.9179829335865515748493147072603e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.141
y[1] (analytic) = 1.8303905397899425754070020935328
y[1] (numeric) = 1.8303905397899425754070020935319
absolute error = 9e-31
relative error = 4.9169834548166146451375122161626e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.142
y[1] (analytic) = 1.8307631687828617974015273081216
y[1] (numeric) = 1.8307631687828617974015273081207
absolute error = 9e-31
relative error = 4.9159826642041473359520811354849e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.143
y[1] (analytic) = 1.8311364384207671827831554847261
y[1] (numeric) = 1.8311364384207671827831554847252
absolute error = 9e-31
relative error = 4.9149805613403109374260975958579e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.144
y[1] (analytic) = 1.8315103495446390235648067365568
y[1] (numeric) = 1.8315103495446390235648067365559
absolute error = 9e-31
relative error = 4.9139771458226449177871278004194e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.145
y[1] (analytic) = 1.8318849029949161258380696058349
y[1] (numeric) = 1.831884902994916125838069605834
absolute error = 9e-31
relative error = 4.9129724172550686354612966395806e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.146
y[1] (analytic) = 1.8322600996114949693344650087686
y[1] (numeric) = 1.8322600996114949693344650087677
memory used=274.6MB, alloc=4.4MB, time=13.93
absolute error = 9e-31
relative error = 4.9119663752478830092101855759503e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.147
y[1] (analytic) = 1.8326359402337288675290364954032
y[1] (numeric) = 1.8326359402337288675290364954024
absolute error = 8e-31
relative error = 4.3652969061491307966478912059539e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.148
y[1] (analytic) = 1.8330124257004271282871067206849
y[1] (numeric) = 1.8330124257004271282871067206841
absolute error = 8e-31
relative error = 4.3644003105669377138969710499247e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.149
y[1] (analytic) = 1.8333895568498542150550394799109
y[1] (numeric) = 1.8333895568498542150550394799102
absolute error = 7e-31
relative error = 3.8180647281680062092670971875023e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.15
y[1] (analytic) = 1.833767334519728908595846117736
y[1] (numeric) = 1.8337673345197289085958461177352
absolute error = 8e-31
relative error = 4.3626036135577867073562545494277e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.151
y[1] (analytic) = 1.8341457595472234692704745750565
y[1] (numeric) = 1.8341457595472234692704745750557
absolute error = 8e-31
relative error = 4.3617035114891179553814913642932e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.152
y[1] (analytic) = 1.8345248327689627998656187924155
y[1] (numeric) = 1.8345248327689627998656187924148
absolute error = 7e-31
relative error = 3.8157019599644575088602570034159e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.153
y[1] (analytic) = 1.8349045550210236089688856420487
y[1] (numeric) = 1.8349045550210236089688856420479
absolute error = 8e-31
relative error = 4.3598997986619195958611637770960e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.154
y[1] (analytic) = 1.8352849271389335748921560133335
y[1] (numeric) = 1.8352849271389335748921560133327
absolute error = 8e-31
relative error = 4.3589961872957664609849003080230e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.155
y[1] (analytic) = 1.835665949957670510143976128213
y[1] (numeric) = 1.8356659499576705101439761282122
absolute error = 8e-31
relative error = 4.3580914055656345240502583511764e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.156
y[1] (analytic) = 1.8360476243116615264518146141317
y[1] (numeric) = 1.8360476243116615264518146141309
absolute error = 8e-31
relative error = 4.3571854531819229818777730482354e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.157
y[1] (analytic) = 1.8364299510347822003350203121569
y[1] (numeric) = 1.8364299510347822003350203121561
absolute error = 8e-31
relative error = 4.3562783298607173796936602184854e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.158
y[1] (analytic) = 1.8368129309603557392293152472593
y[1] (numeric) = 1.8368129309603557392293152472585
absolute error = 8e-31
relative error = 4.3553700353237906432362778369475e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.159
y[1] (analytic) = 1.837196564921152148163656636189
y[1] (numeric) = 1.8371965649211521481636566361882
absolute error = 8e-31
relative error = 4.3544605692986040727739199254096e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.16
y[1] (analytic) = 1.8375808537493873969903012560166
y[1] (numeric) = 1.8375808537493873969903012560158
absolute error = 8e-31
relative error = 4.3535499315183082989775746494407e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.161
y[1] (analytic) = 1.8379657982767225881689049432047
y[1] (numeric) = 1.8379657982767225881689049432039
absolute error = 8e-31
relative error = 4.3526381217217442005928544673593e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.162
y[1] (analytic) = 1.8383513993342631251054894390418
y[1] (numeric) = 1.838351399334263125105489439041
absolute error = 8e-31
relative error = 4.3517251396534437838558837030865e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.163
y[1] (analytic) = 1.8387376577525578810471082424019
y[1] (numeric) = 1.8387376577525578810471082424011
absolute error = 8e-31
relative error = 4.3508109850636310235985079018728e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.164
y[1] (analytic) = 1.8391245743615983685330425750946
y[1] (numeric) = 1.8391245743615983685330425750938
absolute error = 8e-31
relative error = 4.3498956577082226659887697640107e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.165
y[1] (analytic) = 1.8395121499908179094033580085412
y[1] (numeric) = 1.8395121499908179094033580085404
absolute error = 8e-31
relative error = 4.3489791573488289928531783247316e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.166
y[1] (analytic) = 1.83990038546909080536565174315
y[1] (numeric) = 1.8399003854690908053656517431492
absolute error = 8e-31
relative error = 4.3480614837527545475278813463997e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.167
y[1] (analytic) = 1.8402892816247315091208199735756
y[1] (numeric) = 1.8402892816247315091208199735748
absolute error = 8e-31
relative error = 4.3471426366929988221864355996244e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.168
y[1] (analytic) = 1.8406788392854937960486742140247
y[1] (numeric) = 1.8406788392854937960486742140238
absolute error = 9e-31
relative error = 4.8895004429417890199165127983738e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.169
y[1] (analytic) = 1.8410690592785699364542348979232
y[1] (numeric) = 1.8410690592785699364542348979224
absolute error = 8e-31
relative error = 4.3453014213029200982260106322677e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.17
y[1] (analytic) = 1.8414599424305898683755300055835
y[1] (numeric) = 1.8414599424305898683755300055826
absolute error = 9e-31
relative error = 4.8874264341154610329498754097637e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.171
y[1] (analytic) = 1.8418514895676203709537259120014
y[1] (numeric) = 1.8418514895676203709537259120005
absolute error = 9e-31
relative error = 4.8863874481610753493552596982544e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.172
y[1] (analytic) = 1.8422437015151642383664170845863
y[1] (numeric) = 1.8422437015151642383664170845854
absolute error = 9e-31
relative error = 4.8853471408792966533874248991278e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.173
y[1] (analytic) = 1.842636579098159454324900697464
y[1] (numeric) = 1.8426365790981594543249006974631
absolute error = 9e-31
relative error = 4.8843055120532040822905821630487e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.174
y[1] (analytic) = 1.8430301231409783671362616650088
y[1] (numeric) = 1.8430301231409783671362616650079
absolute error = 9e-31
relative error = 4.8832625614722877851660584415700e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=278.4MB, alloc=4.4MB, time=14.13
TOP MAIN SOLVE Loop
x[1] = 2.175
y[1] (analytic) = 1.8434243344674268653310930324524
y[1] (numeric) = 1.8434243344674268653310930324514
absolute error = 1.0e-30
relative error = 5.4246869877027214971850031321867e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.176
y[1] (analytic) = 1.8438192139007435538576760957788
y[1] (numeric) = 1.8438192139007435538576760957779
absolute error = 9e-31
relative error = 4.8811726942360021716515303738602e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.177
y[1] (analytic) = 1.8442147622635989308434440566585
y[1] (numeric) = 1.8442147622635989308434440566576
absolute error = 9e-31
relative error = 4.8801257771916718139526224128623e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.178
y[1] (analytic) = 1.8446109803780945649245524508872
y[1] (numeric) = 1.8446109803780945649245524508863
absolute error = 9e-31
relative error = 4.8790775376145962771957762742296e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.179
y[1] (analytic) = 1.8450078690657622731443790206922
y[1] (numeric) = 1.8450078690657622731443790206913
absolute error = 9e-31
relative error = 4.8780279753263262596310736745374e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.18
y[1] (analytic) = 1.8454054291475632994217751323375
y[1] (numeric) = 1.8454054291475632994217751323366
absolute error = 9e-31
relative error = 4.8769770901548253597190137515001e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.181
y[1] (analytic) = 1.8458036614438874935898902707066
y[1] (numeric) = 1.8458036614438874935898902707057
absolute error = 9e-31
relative error = 4.8759248819344702368241355263753e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.182
y[1] (analytic) = 1.8462025667745524910063905719718
y[1] (numeric) = 1.846202566774552491006390571971
absolute error = 8e-31
relative error = 4.3332189782276006469041195159065e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.183
y[1] (analytic) = 1.8466021459588028927358917840624
y[1] (numeric) = 1.8466021459588028927358917840616
absolute error = 8e-31
relative error = 4.3322813295260177059443191525440e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.184
y[1] (analytic) = 1.8470023998153094463054264724294
y[1] (numeric) = 1.8470023998153094463054264724286
absolute error = 8e-31
relative error = 4.3313425043735503783717832637002e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.185
y[1] (analytic) = 1.8474033291621682270337647155735
y[1] (numeric) = 1.8474033291621682270337647155727
absolute error = 8e-31
relative error = 4.3304025026457805542924601656700e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.186
y[1] (analytic) = 1.8478049348168998199354069609456
y[1] (numeric) = 1.8478049348168998199354069609448
absolute error = 8e-31
relative error = 4.3294613242239907471878811334209e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.187
y[1] (analytic) = 1.8482072175964485022000671371593
y[1] (numeric) = 1.8482072175964485022000671371585
absolute error = 8e-31
relative error = 4.3285189689951640007032044763786e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.188
y[1] (analytic) = 1.8486101783171814262484635429645
y[1] (numeric) = 1.8486101783171814262484635429638
absolute error = 7e-31
relative error = 3.7866285072454857864570224990876e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.189
y[1] (analytic) = 1.8490138177948878033652344571233
y[1] (numeric) = 1.8490138177948878033652344571226
absolute error = 7e-31
relative error = 3.7858018867312294693794886113171e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.19
y[1] (analytic) = 1.849418136844778087909794836203
y[1] (numeric) = 1.8494181368447780879097948362023
absolute error = 7e-31
relative error = 3.7849742362440727692301034759750e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.191
y[1] (analytic) = 1.8498231362814831621059498893642
y[1] (numeric) = 1.8498231362814831621059498893634
absolute error = 8e-31
relative error = 4.3247377779486585116340291244926e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.192
y[1] (analytic) = 1.8502288169190535214110807404593
y[1] (numeric) = 1.8502288169190535214110807404585
absolute error = 8e-31
relative error = 4.3237895371888997755216858619355e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.193
y[1] (analytic) = 1.8506351795709584604657168081912
y[1] (numeric) = 1.8506351795709584604657168081905
absolute error = 7e-31
relative error = 3.7824851041807403836142347638589e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.194
y[1] (analytic) = 1.8510422250500852596243089546892
y[1] (numeric) = 1.8510422250500852596243089546885
absolute error = 7e-31
relative error = 3.7816533330624561581810666586929e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.195
y[1] (analytic) = 1.8514499541687383720680168716625
y[1] (numeric) = 1.8514499541687383720680168716618
absolute error = 7e-31
relative error = 3.7808205316264414125298145536683e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.196
y[1] (analytic) = 1.851858367738638611500323591276
y[1] (numeric) = 1.8518583677386386115003235912753
absolute error = 7e-31
relative error = 3.7799866998186886030664964875041e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.197
y[1] (analytic) = 1.8522674665709223404262894260664
y[1] (numeric) = 1.8522674665709223404262894260656
absolute error = 8e-31
relative error = 4.3190306715316290615214173642749e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.198
y[1] (analytic) = 1.8526772514761406590162570585761
y[1] (numeric) = 1.8526772514761406590162570585753
absolute error = 8e-31
relative error = 4.3180753655964164206942362640678e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.199
y[1] (analytic) = 1.8530877232642585945548189169338
y[1] (numeric) = 1.853087723264258594554818916933
absolute error = 8e-31
relative error = 4.3171188819425167772976494460625e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.2
y[1] (analytic) = 1.8534988827446542914758573873451
y[1] (numeric) = 1.8534988827446542914758573873442
absolute error = 9e-31
relative error = 4.8556813730973677638741954643616e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.201
y[1] (analytic) = 1.8539107307261182019844678283864
y[1] (numeric) = 1.8539107307261182019844678283855
absolute error = 9e-31
relative error = 4.8546026789946809528306692636128e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.202
y[1] (analytic) = 1.8543232680168522772665737651122
y[1] (numeric) = 1.8543232680168522772665737651113
absolute error = 9e-31
relative error = 4.8535226598462804223501076703365e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=282.2MB, alloc=4.4MB, time=14.33
TOP MAIN SOLVE Loop
x[1] = 2.203
y[1] (analytic) = 1.8547364954244691592870430532913
y[1] (numeric) = 1.8547364954244691592870430532904
absolute error = 9e-31
relative error = 4.8524413156275810026943194232167e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.204
y[1] (analytic) = 1.8551504137559913731771132155907
y[1] (numeric) = 1.8551504137559913731771132155898
absolute error = 9e-31
relative error = 4.8513586463204020078524911275418e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.205
y[1] (analytic) = 1.8555650238178505202119335622126
y[1] (numeric) = 1.8555650238178505202119335622117
absolute error = 9e-31
relative error = 4.8502746519129663249543939650474e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.206
y[1] (analytic) = 1.8559803264158864713790311183766
y[1] (numeric) = 1.8559803264158864713790311183757
absolute error = 9e-31
relative error = 4.8491893323998994585782943248385e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.207
y[1] (analytic) = 1.8563963223553465615385067901125
y[1] (numeric) = 1.8563963223553465615385067901117
absolute error = 8e-31
relative error = 4.3094246113619809154863775585728e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.208
y[1] (analytic) = 1.8568130124408847841757676081025
y[1] (numeric) = 1.8568130124408847841757676081017
absolute error = 8e-31
relative error = 4.3084575271710055384956284536935e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.209
y[1] (analytic) = 1.8572303974765609867476002967706
y[1] (numeric) = 1.8572303974765609867476002967698
absolute error = 8e-31
relative error = 4.3074892651281642066543381027599e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.21
y[1] (analytic) = 1.8576484782658400666223908224814
y[1] (numeric) = 1.8576484782658400666223908224806
absolute error = 8e-31
relative error = 4.3065198252514351548616893899590e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.211
y[1] (analytic) = 1.8580672556115911676152939805599
y[1] (numeric) = 1.8580672556115911676152939805591
absolute error = 8e-31
relative error = 4.3055492075644829836477227590238e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.212
y[1] (analytic) = 1.8584867303160868771191564858965
y[1] (numeric) = 1.8584867303160868771191564858957
absolute error = 8e-31
relative error = 4.3045774120966575685437943209450e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.213
y[1] (analytic) = 1.858906903181002423831996436147
y[1] (numeric) = 1.8589069031810024238319964361462
absolute error = 8e-31
relative error = 4.3036044388829929291773894233529e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.214
y[1] (analytic) = 1.8593277750074148760818414199812
y[1] (numeric) = 1.8593277750074148760818414199803
absolute error = 9e-31
relative error = 4.8404590739597318153263018488617e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.215
y[1] (analytic) = 1.8597493465958023407497269454754
y[1] (numeric) = 1.8597493465958023407497269454746
absolute error = 8e-31
relative error = 4.3016549593866957091000020700963e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.216
y[1] (analytic) = 1.8601716187460431627916562655842
y[1] (numeric) = 1.8601716187460431627916562655833
absolute error = 9e-31
relative error = 4.8382632598528587888607943217261e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.217
y[1] (analytic) = 1.8605945922574151253603220786628
y[1] (numeric) = 1.8605945922574151253603220786619
absolute error = 9e-31
relative error = 4.8371633656531884544153437099824e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.218
y[1] (analytic) = 1.8610182679285946505273899822547
y[1] (numeric) = 1.8610182679285946505273899822538
absolute error = 9e-31
relative error = 4.8360621467823875803363457522145e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.219
y[1] (analytic) = 1.8614426465576560006071429577922
y[1] (numeric) = 1.8614426465576560006071429577914
absolute error = 8e-31
relative error = 4.2977418696161850249926921536515e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.22
y[1] (analytic) = 1.8618677289420704800822855624998
y[1] (numeric) = 1.861867728942070480082285562499
absolute error = 8e-31
relative error = 4.2967606536398103508171815459841e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.221
y[1] (analytic) = 1.8622935158787056381327059026293
y[1] (numeric) = 1.8622935158787056381327059026284
absolute error = 9e-31
relative error = 4.8327505429526423766871235942754e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.222
y[1] (analytic) = 1.8627200081638244717679928591985
y[1] (numeric) = 1.8627200081638244717679928591976
absolute error = 9e-31
relative error = 4.8316440262386758394826189575754e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.223
y[1] (analytic) = 1.8631472065930846295645054336504
y[1] (numeric) = 1.8631472065930846295645054336494
absolute error = 1.0e-30
relative error = 5.3672624281179632947608165356049e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.224
y[1] (analytic) = 1.8635751119615376160077904762953
y[1] (numeric) = 1.8635751119615376160077904762943
absolute error = 1.0e-30
relative error = 5.3660300225164148399722517136664e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.225
y[1] (analytic) = 1.8640037250636279964411444550543
y[1] (numeric) = 1.8640037250636279964411444550533
absolute error = 1.0e-30
relative error = 5.3647961458116982947160300186251e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.226
y[1] (analytic) = 1.8644330466931926026211143158744
y[1] (numeric) = 1.8644330466931926026211143158733
absolute error = 1.1e-30
relative error = 5.8999168779538041207423241791104e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.227
y[1] (analytic) = 1.8648630776434597388807318792482
y[1] (numeric) = 1.8648630776434597388807318792471
absolute error = 1.1e-30
relative error = 5.8985563776082615064242125810175e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.228
y[1] (analytic) = 1.865293818707048388901275609539
y[1] (numeric) = 1.865293818707048388901275609538
absolute error = 1.0e-30
relative error = 5.3610856904740210744582335124393e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.229
y[1] (analytic) = 1.8657252706759674230933529852822
y[1] (numeric) = 1.8657252706759674230933529852812
absolute error = 1.0e-30
relative error = 5.3598459307875048280758808516721e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.23
y[1] (analytic) = 1.8661574343416148065880960893144
y[1] (numeric) = 1.8661574343416148065880960893133
absolute error = 1.1e-30
relative error = 5.8944651708235048194378972344015e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=286.1MB, alloc=4.4MB, time=14.53
TOP MAIN SOLVE Loop
x[1] = 2.231
y[1] (analytic) = 1.8665903104947768078392624274696
y[1] (numeric) = 1.8665903104947768078392624274686
absolute error = 1.0e-30
relative error = 5.3573620005288153086678071379720e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.232
y[1] (analytic) = 1.8670238999256272078370323736758
y[1] (numeric) = 1.8670238999256272078370323736747
absolute error = 1.1e-30
relative error = 5.8917296133371320967091659305136e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.233
y[1] (analytic) = 1.8674582034237265099342940275866
y[1] (numeric) = 1.8674582034237265099342940275855
absolute error = 1.1e-30
relative error = 5.8903594092938842418853712136839e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.234
y[1] (analytic) = 1.8678932217780211502862056584004
y[1] (numeric) = 1.8678932217780211502862056583992
absolute error = 1.2e-30
relative error = 6.4243500967241423207164079159346e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.235
y[1] (analytic) = 1.8683289557768427089038252952355
y[1] (numeric) = 1.8683289557768427089038252952343
absolute error = 1.2e-30
relative error = 6.4228518018179803927450799811519e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.236
y[1] (analytic) = 1.8687654062079071213225964103689
y[1] (numeric) = 1.8687654062079071213225964103677
absolute error = 1.2e-30
relative error = 6.4213517438501615991152815808605e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.237
y[1] (analytic) = 1.8692025738583138908864780267848
y[1] (numeric) = 1.8692025738583138908864780267836
absolute error = 1.2e-30
relative error = 6.4198499230771996340582568413364e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.238
y[1] (analytic) = 1.8696404595145453016485069658388
y[1] (numeric) = 1.8696404595145453016485069658377
absolute error = 1.1e-30
relative error = 5.8834841447837329219767628661824e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.239
y[1] (analytic) = 1.8700790639624656318885793344095
y[1] (numeric) = 1.8700790639624656318885793344084
absolute error = 1.1e-30
relative error = 5.8821042446688666132188469051901e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.24
y[1] (analytic) = 1.8705183879873203682492377336896
y[1] (numeric) = 1.8705183879873203682492377336884
absolute error = 1.2e-30
relative error = 6.4153338866195332324316729072625e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.241
y[1] (analytic) = 1.8709584323737354204902500537652
y[1] (numeric) = 1.870958432373735420490250053764
absolute error = 1.2e-30
relative error = 6.4138250173603677423582319389840e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.242
y[1] (analytic) = 1.8713991979057163368627650993383
y[1] (numeric) = 1.8713991979057163368627650993372
absolute error = 1.1e-30
relative error = 5.8779548544800622039358556867370e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.243
y[1] (analytic) = 1.8718406853666475201038296723716
y[1] (numeric) = 1.8718406853666475201038296723705
absolute error = 1.1e-30
relative error = 5.8765684953820579738322520807124e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.244
y[1] (analytic) = 1.8722828955392914440520511170729
y[1] (numeric) = 1.8722828955392914440520511170717
absolute error = 1.2e-30
relative error = 6.4092878424462270719521363347038e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.245
y[1] (analytic) = 1.8727258292057878708851887114914
y[1] (numeric) = 1.8727258292057878708851887114903
absolute error = 1.1e-30
relative error = 5.8737909353581330187270721352666e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.246
y[1] (analytic) = 1.8731694871476530689804566680706
y[1] (numeric) = 1.8731694871476530689804566680695
absolute error = 1.1e-30
relative error = 5.8723997350341860212258421606955e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.247
y[1] (analytic) = 1.873613870145779031398320882787
y[1] (numeric) = 1.8736138701457790313983208827858
absolute error = 1.2e-30
relative error = 6.4047348235452185038854790463785e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.248
y[1] (analytic) = 1.8740589789804326949905709490147
y[1] (numeric) = 1.8740589789804326949905709490135
absolute error = 1.2e-30
relative error = 6.4032136312638929140999432526059e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.249
y[1] (analytic) = 1.8745048144312551601334483279789
y[1] (numeric) = 1.8745048144312551601334483279777
absolute error = 1.2e-30
relative error = 6.4016906799148064821713156863034e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.25
y[1] (analytic) = 1.8749513772772609110866109426036
y[1] (numeric) = 1.8749513772772609110866109426024
absolute error = 1.2e-30
relative error = 6.4001659698642329923683774583293e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.251
y[1] (analytic) = 1.8753986682968370369787138357252
y[1] (numeric) = 1.875398668296837036978713835724
absolute error = 1.2e-30
relative error = 6.3986395014868629573345121928409e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.252
y[1] (analytic) = 1.8758466882677424534203849070263
y[1] (numeric) = 1.8758466882677424534203849070251
absolute error = 1.2e-30
relative error = 6.3971112751657995476781212403382e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.253
y[1] (analytic) = 1.8762954379671071247453741156483
y[1] (numeric) = 1.8762954379671071247453741156471
absolute error = 1.2e-30
relative error = 6.3955812912925544604960581503787e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.254
y[1] (analytic) = 1.8767449181714312868806539072698
y[1] (numeric) = 1.8767449181714312868806539072686
absolute error = 1.2e-30
relative error = 6.3940495502670437268337680031865e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.255
y[1] (analytic) = 1.8771951296565846708462479954851
y[1] (numeric) = 1.8771951296565846708462479954839
absolute error = 1.2e-30
relative error = 6.3925160524975834580868005192028e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.256
y[1] (analytic) = 1.877646073197805726885564997589
y[1] (numeric) = 1.8776460731978057268855649975878
absolute error = 1.2e-30
relative error = 6.3909807984008855313493494059044e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.257
y[1] (analytic) = 1.8780977495697008492270127943704
y[1] (numeric) = 1.8780977495697008492270127943692
absolute error = 1.2e-30
relative error = 6.3894437884020532137164541385779e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.258
y[1] (analytic) = 1.8785501595462436014776688522352
y[1] (numeric) = 1.8785501595462436014776688522339
absolute error = 1.3e-30
relative error = 6.9202304415124581193431079730504e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=289.9MB, alloc=4.4MB, time=14.73
x[1] = 2.259
y[1] (analytic) = 1.8790033039007739426497811139232
y[1] (numeric) = 1.8790033039007739426497811139219
absolute error = 1.3e-30
relative error = 6.9185615443103561379244697385238e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.26
y[1] (analytic) = 1.8794571834059974538208734312552
y[1] (numeric) = 1.8794571834059974538208734312539
absolute error = 1.3e-30
relative error = 6.9168907463170231575518300205647e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.261
y[1] (analytic) = 1.8799117988339845654282288797383
y[1] (numeric) = 1.8799117988339845654282288797371
absolute error = 1.2e-30
relative error = 6.3832781981808938601504640223904e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.262
y[1] (analytic) = 1.8803671509561697851985236604836
y[1] (numeric) = 1.8803671509561697851985236604824
absolute error = 1.2e-30
relative error = 6.3817324153413232555294487897348e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.263
y[1] (analytic) = 1.8808232405433509267133836597364
y[1] (numeric) = 1.8808232405433509267133836597352
absolute error = 1.2e-30
relative error = 6.3801848793262043238126879937865e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.264
y[1] (analytic) = 1.8812800683656883386116351003996
y[1] (numeric) = 1.8812800683656883386116351003984
absolute error = 1.2e-30
relative error = 6.3786355906192524165186657221948e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.265
y[1] (analytic) = 1.8817376351927041344290200832342
y[1] (numeric) = 1.8817376351927041344290200832331
absolute error = 1.1e-30
relative error = 5.8456608372364923169508276832196e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.266
y[1] (analytic) = 1.8821959417932814230761471779583
y[1] (numeric) = 1.8821959417932814230761471779572
absolute error = 1.1e-30
relative error = 5.8442374440142706713112895512695e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.267
y[1] (analytic) = 1.8826549889356635399554465862282
y[1] (numeric) = 1.8826549889356635399554465862271
absolute error = 1.1e-30
relative error = 5.8428124455340159351150868967452e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.268
y[1] (analytic) = 1.8831147773874532787178987594843
y[1] (numeric) = 1.8831147773874532787178987594832
absolute error = 1.1e-30
relative error = 5.8413858422697385604745191719700e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.269
y[1] (analytic) = 1.883575307915612123660304714868
y[1] (numeric) = 1.8835753079156121236603047148669
absolute error = 1.1e-30
relative error = 5.8399576347030886129594472325535e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.27
y[1] (analytic) = 1.8840365812864594827638656518757
y[1] (numeric) = 1.8840365812864594827638656518746
absolute error = 1.1e-30
relative error = 5.8385278233233510340361881129146e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.271
y[1] (analytic) = 1.8844985982656719213748388311058
y[1] (numeric) = 1.8844985982656719213748388311047
absolute error = 1.1e-30
relative error = 5.8370964086274408477271663227890e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.272
y[1] (analytic) = 1.88496135961828239652803603438
y[1] (numeric) = 1.8849613596182823965280360343789
absolute error = 1.1e-30
relative error = 5.8356633911198983115109382959288e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.273
y[1] (analytic) = 1.8854248661086794919139302826759
y[1] (numeric) = 1.8854248661086794919139302826748
absolute error = 1.1e-30
relative error = 5.8342287713128840114831083455797e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.274
y[1] (analytic) = 1.8858891185006066534901358447001
y[1] (numeric) = 1.885889118500606653490135844699
absolute error = 1.1e-30
relative error = 5.8327925497261739017995560188622e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.275
y[1] (analytic) = 1.8863541175571614257380259245594
y[1] (numeric) = 1.8863541175571614257380259245584
absolute error = 1.0e-30
relative error = 5.3012315698974129894766327929575e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.276
y[1] (analytic) = 1.8868198640407946885652517718475
y[1] (numeric) = 1.8868198640407946885652517718464
absolute error = 1.1e-30
relative error = 5.8299153033308167572051933913051e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.277
y[1] (analytic) = 1.8872863587133098948549263115644
y[1] (numeric) = 1.8872863587133098948549263115633
absolute error = 1.1e-30
relative error = 5.8284742795997530463016560278714e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.278
y[1] (analytic) = 1.8877536023358623086622347446232
y[1] (numeric) = 1.8877536023358623086622347446221
absolute error = 1.1e-30
relative error = 5.8270316562441498629893301057700e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.279
y[1] (analytic) = 1.8882215956689582440592339222676
y[1] (numeric) = 1.8882215956689582440592339222665
absolute error = 1.1e-30
relative error = 5.8255874338217836448677206293487e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.28
y[1] (analytic) = 1.8886903394724543046286016495393
y[1] (numeric) = 1.8886903394724543046286016495382
absolute error = 1.1e-30
relative error = 5.8241416128980152654975621971135e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.281
y[1] (analytic) = 1.8891598345055566236070964239817
y[1] (numeric) = 1.8891598345055566236070964239806
absolute error = 1.1e-30
relative error = 5.8226941940457846844956632527987e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.282
y[1] (analytic) = 1.8896300815268201046794874660569
y[1] (numeric) = 1.8896300815268201046794874660559
absolute error = 1.0e-30
relative error = 5.2920410707687323110144061611800e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.283
y[1] (analytic) = 1.8901010812941476634237142472835
y[1] (numeric) = 1.8901010812941476634237142472825
absolute error = 1.0e-30
relative error = 5.2907223317141451803140992864178e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.284
y[1] (analytic) = 1.8905728345647894694080340708707
y[1] (numeric) = 1.8905728345647894694080340708697
absolute error = 1.0e-30
relative error = 5.2894021416011742877711071965628e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.285
y[1] (analytic) = 1.89104534209534218894091560764
y[1] (numeric) = 1.891045342095342188940915607639
absolute error = 1.0e-30
relative error = 5.2880805009781848106215140356269e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.286
y[1] (analytic) = 1.8915186046417482284744356372766
y[1] (numeric) = 1.8915186046417482284744356372757
absolute error = 9e-31
relative error = 4.7580816693603662371122518258272e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=293.7MB, alloc=4.4MB, time=14.94
x[1] = 2.287
y[1] (analytic) = 1.8919926229592949786619355914513
y[1] (numeric) = 1.8919926229592949786619355914504
absolute error = 9e-31
relative error = 4.7568895833869375990661997468237e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.288
y[1] (analytic) = 1.8924673978026140590706938410923
y[1] (numeric) = 1.8924673978026140590706938410913
absolute error = 1.0e-30
relative error = 5.2841068816357006583437505439322e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.289
y[1] (analytic) = 1.8929429299256805635503690150733
y[1] (numeric) = 1.8929429299256805635503690150724
absolute error = 9e-31
relative error = 4.7545015001341598143631809724333e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.29
y[1] (analytic) = 1.893419220081812306257968981811
y[1] (numeric) = 1.8934192200818123062579689818101
absolute error = 9e-31
relative error = 4.7533055038973994963341802238200e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.291
y[1] (analytic) = 1.8938962690236690683400994687391
y[1] (numeric) = 1.8938962690236690683400994687381
absolute error = 1.0e-30
relative error = 5.2801202281026429718770922548676e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.292
y[1] (analytic) = 1.8943740775032518452732456373488
y[1] (numeric) = 1.8943740775032518452732456373479
absolute error = 9e-31
relative error = 4.7509096048557763148856392884757e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.293
y[1] (analytic) = 1.8948526462719020948628392734521
y[1] (numeric) = 1.8948526462719020948628392734511
absolute error = 1.0e-30
relative error = 5.2774552257004626567607019898256e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.294
y[1] (analytic) = 1.8953319760803009859018635935348
y[1] (numeric) = 1.8953319760803009859018635935338
absolute error = 1.0e-30
relative error = 5.2761205562947365784285399813325e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.295
y[1] (analytic) = 1.8958120676784686474897470085364
y[1] (numeric) = 1.8958120676784686474897470085354
absolute error = 1.0e-30
relative error = 5.2747844422393499480103840320966e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.296
y[1] (analytic) = 1.8962929218157634190122965260963
y[1] (numeric) = 1.8962929218157634190122965260953
absolute error = 1.0e-30
relative error = 5.2734468841578905729615478394461e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.297
y[1] (analytic) = 1.8967745392408811007834208112734
y[1] (numeric) = 1.8967745392408811007834208112723
absolute error = 1.1e-30
relative error = 5.7993186709488268467041045659189e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.298
y[1] (analytic) = 1.8972569207018542053493922639516
y[1] (numeric) = 1.8972569207018542053493922639505
absolute error = 1.1e-30
relative error = 5.7978441822896388111207988465763e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.299
y[1] (analytic) = 1.8977400669460512094563968086086
y[1] (numeric) = 1.8977400669460512094563968086075
absolute error = 1.1e-30
relative error = 5.7963681073045010694473534535225e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.3
y[1] (analytic) = 1.898223978720175806682119428834
y[1] (numeric) = 1.8982239787201758066821194288329
absolute error = 1.1e-30
relative error = 5.7948904467092660958403755239545e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.301
y[1] (analytic) = 1.8987086567702661607321128149499
y[1] (numeric) = 1.8987086567702661607321128149488
absolute error = 1.1e-30
relative error = 5.7934112012272468391213099874155e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.302
y[1] (analytic) = 1.8991941018416941594016958283034
y[1] (numeric) = 1.8991941018416941594016958283023
absolute error = 1.1e-30
relative error = 5.7919303715892102144708946455208e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.303
y[1] (analytic) = 1.8996803146791646692041278202694
y[1] (numeric) = 1.8996803146791646692041278202683
absolute error = 1.1e-30
relative error = 5.7904479585333705404176579530023e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.304
y[1] (analytic) = 1.9001672960267147906658041777283
y[1] (numeric) = 1.9001672960267147906658041777272
absolute error = 1.1e-30
relative error = 5.7889639628053829211687316574240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.305
y[1] (analytic) = 1.9006550466277131142892177997601
y[1] (numeric) = 1.900655046627713114289217799759
absolute error = 1.1e-30
relative error = 5.7874783851583365743321354911191e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.306
y[1] (analytic) = 1.901143567224858977184430542532
y[1] (numeric) = 1.9011435672248589771844305425309
absolute error = 1.1e-30
relative error = 5.7859912263527481040805752673681e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.307
y[1] (analytic) = 1.9016328585601817203697980008459
y[1] (numeric) = 1.9016328585601817203697980008448
absolute error = 1.1e-30
relative error = 5.7845024871565547198076789921272e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.308
y[1] (analytic) = 1.9021229213750399467426903255592
y[1] (numeric) = 1.9021229213750399467426903255581
absolute error = 1.1e-30
relative error = 5.7830121683451074003284779413031e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.309
y[1] (analytic) = 1.902613756410120779720951106096
y[1] (numeric) = 1.902613756410120779720951106095
absolute error = 1.0e-30
relative error = 5.2559275188192400033425645911224e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.31
y[1] (analytic) = 1.903105364405439122555835676529
y[1] (numeric) = 1.9031053644054391225558356765279
absolute error = 1.1e-30
relative error = 5.7800267950148823225532913952986e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.311
y[1] (analytic) = 1.9035977461003369183171695322296
y[1] (numeric) = 1.9035977461003369183171695322286
absolute error = 1.0e-30
relative error = 5.2532106746216482595255209055001e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.312
y[1] (analytic) = 1.9040909022334824105514668718703
y[1] (numeric) = 1.9040909022334824105514668718692
absolute error = 1.1e-30
relative error = 5.7770351127128929037040946086505e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.313
y[1] (analytic) = 1.9045848335428694046137486065941
y[1] (numeric) = 1.904584833542869404613748606593
absolute error = 1.1e-30
relative error = 5.7755369077144371639466545962830e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.314
y[1] (analytic) = 1.9050795407658165296737985044763
y[1] (numeric) = 1.9050795407658165296737985044752
absolute error = 1.1e-30
relative error = 5.7740371279081328669866073284050e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=297.5MB, alloc=4.4MB, time=15.14
x[1] = 2.315
y[1] (analytic) = 1.9055750246389665013975954639574
y[1] (numeric) = 1.9055750246389665013975954639563
absolute error = 1.1e-30
relative error = 5.7725357741210314122050668568743e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.316
y[1] (analytic) = 1.9060712858982853853046592347549
y[1] (numeric) = 1.9060712858982853853046592347539
absolute error = 1.0e-30
relative error = 5.2463934974432193891895071107943e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.317
y[1] (analytic) = 1.9065683252790618608020462288476
y[1] (numeric) = 1.9065683252790618608020462288465
absolute error = 1.1e-30
relative error = 5.7695283479494209489036166329753e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.318
y[1] (analytic) = 1.9070661435159064858957313874729
y[1] (numeric) = 1.9070661435159064858957313874719
absolute error = 1.0e-30
relative error = 5.2436566156870645792577435722146e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.319
y[1] (analytic) = 1.9075647413427509625801113926972
y[1] (numeric) = 1.9075647413427509625801113926962
absolute error = 1.0e-30
relative error = 5.2422860326936612298046110251727e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.32
y[1] (analytic) = 1.9080641194928474029063638339918
y[1] (numeric) = 1.9080641194928474029063638339908
absolute error = 1.0e-30
relative error = 5.2409140226681392435284631744841e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.321
y[1] (analytic) = 1.9085642786987675957303962613959
y[1] (numeric) = 1.9085642786987675957303962613949
absolute error = 1.0e-30
relative error = 5.2395405864023924803373950859035e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.322
y[1] (analytic) = 1.9090652196924022741411183772566
y[1] (numeric) = 1.9090652196924022741411183772556
absolute error = 1.0e-30
relative error = 5.2381657246949624196642747685038e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.323
y[1] (analytic) = 1.9095669432049603835697699382109
y[1] (numeric) = 1.9095669432049603835697699382099
absolute error = 1.0e-30
relative error = 5.2367894383510312097193926759855e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.324
y[1] (analytic) = 1.9100694499669683505810362580234
y[1] (numeric) = 1.9100694499669683505810362580224
absolute error = 1.0e-30
relative error = 5.2354117281824146680997660151659e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.325
y[1] (analytic) = 1.9105727407082693523466825201005
y[1] (numeric) = 1.9105727407082693523466825200995
absolute error = 1.0e-30
relative error = 5.2340325950075552338156844052511e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.326
y[1] (analytic) = 1.9110768161580225868024374259886
y[1] (numeric) = 1.9110768161580225868024374259876
absolute error = 1.0e-30
relative error = 5.2326520396515148707958671858575e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.327
y[1] (analytic) = 1.9115816770447025434888560229092
y[1] (numeric) = 1.9115816770447025434888560229082
absolute error = 1.0e-30
relative error = 5.2312700629459679229333852233366e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.328
y[1] (analytic) = 1.91208732409609827507689086941
y[1] (numeric) = 1.9120873240960982750768908694089
absolute error = 1.1e-30
relative error = 5.7528753323021133128088095342012e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.329
y[1] (analytic) = 1.9125937580393126695789000134973
y[1] (numeric) = 1.9125937580393126695789000134963
absolute error = 1.0e-30
relative error = 5.2285018488460703396396040177390e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.33
y[1] (analytic) = 1.913100979600761723245819572184
y[1] (numeric) = 1.913100979600761723245819572183
absolute error = 1.0e-30
relative error = 5.2271156131480653100643463245172e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.331
y[1] (analytic) = 1.9136089895061738141512280152172
y[1] (numeric) = 1.9136089895061738141512280152162
absolute error = 1.0e-30
relative error = 5.2257279594932302792535626278827e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.332
y[1] (analytic) = 1.9141177884805889764630285688631
y[1] (numeric) = 1.914117788480588976463028568862
absolute error = 1.1e-30
relative error = 5.7467727776208118874853788903306e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.333
y[1] (analytic) = 1.9146273772483581754034754680039
y[1] (numeric) = 1.9146273772483581754034754680029
absolute error = 1.0e-30
relative error = 5.2229484017781482212180238777246e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.334
y[1] (analytic) = 1.9151377565331425828982690964629
y[1] (numeric) = 1.9151377565331425828982690964619
absolute error = 1.0e-30
relative error = 5.2215564994668539557135633118017e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.335
y[1] (analytic) = 1.9156489270579128539154443663989
y[1] (numeric) = 1.9156489270579128539154443663979
absolute error = 1.0e-30
relative error = 5.2201631826966201997542264243349e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.336
y[1] (analytic) = 1.9161608895449484034947759978244
y[1] (numeric) = 1.9161608895449484034947759978234
absolute error = 1.0e-30
relative error = 5.2187684523583032299739417667479e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.337
y[1] (analytic) = 1.91667364471583668446842366878
y[1] (numeric) = 1.916673644715836684468423668779
absolute error = 1.0e-30
relative error = 5.2173723093492976024029033541770e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.338
y[1] (analytic) = 1.9171871932914724658735393154604
y[1] (numeric) = 1.9171871932914724658735393154594
absolute error = 1.0e-30
relative error = 5.2159747545735284787865389282159e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.339
y[1] (analytic) = 1.9177015359920571120575581696245
y[1] (numeric) = 1.9177015359920571120575581696235
absolute error = 1.0e-30
relative error = 5.2145757889414439052516523038953e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.34
y[1] (analytic) = 1.9182166735370978624768944279386
y[1] (numeric) = 1.9182166735370978624768944279376
absolute error = 1.0e-30
relative error = 5.2131754133700070433919477748000e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.341
y[1] (analytic) = 1.918732606645407112189761754497
y[1] (numeric) = 1.918732606645407112189761754496
absolute error = 1.0e-30
relative error = 5.2117736287826883538459082849970e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.342
y[1] (analytic) = 1.9192493360351016930438381236389
y[1] (numeric) = 1.9192493360351016930438381236379
absolute error = 1.0e-30
relative error = 5.2103704361094577324407613273739e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.343
y[1] (analytic) = 1.9197668624236021555594938153379
y[1] (numeric) = 1.9197668624236021555594938153369
memory used=301.3MB, alloc=4.4MB, time=15.35
absolute error = 1.0e-30
relative error = 5.2089658362867765989770272766386e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.344
y[1] (analytic) = 1.9202851865276320515093006798759
y[1] (numeric) = 1.9202851865276320515093006798749
absolute error = 1.0e-30
relative error = 5.2075598302575899387289040932417e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.345
y[1] (analytic) = 1.9208043090632172171945400922314
y[1] (numeric) = 1.9208043090632172171945400922304
absolute error = 1.0e-30
relative error = 5.2061524189713182967365000234918e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.346
y[1] (analytic) = 1.9213242307456850574194263196161
y[1] (numeric) = 1.9213242307456850574194263196151
absolute error = 1.0e-30
relative error = 5.2047436033838497249666820528496e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.347
y[1] (analytic) = 1.9218449522896638301637613278758
y[1] (numeric) = 1.9218449522896638301637613278748
absolute error = 1.0e-30
relative error = 5.2033333844575316824200624255690e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.348
y[1] (analytic) = 1.9223664744090819319547363540412
y[1] (numeric) = 1.9223664744090819319547363540402
absolute error = 1.0e-30
relative error = 5.2019217631611628882623985062777e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.349
y[1] (analytic) = 1.9228887978171671839385948731675
y[1] (numeric) = 1.9228887978171671839385948731665
absolute error = 1.0e-30
relative error = 5.2005087404699851280594326096039e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.35
y[1] (analytic) = 1.9234119232264461186528708877411
y[1] (numeric) = 1.9234119232264461186528708877401
absolute error = 1.0e-30
relative error = 5.1990943173656750131949481444408e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.351
y[1] (analytic) = 1.9239358513487432674999157673543
y[1] (numeric) = 1.9239358513487432674999157673533
absolute error = 1.0e-30
relative error = 5.1976784948363356935525664918413e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.352
y[1] (analytic) = 1.9244605828951804489224261650631
y[1] (numeric) = 1.9244605828951804489224261650622
absolute error = 9e-31
relative error = 4.6766351464888396711882998976232e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.353
y[1] (analytic) = 1.9249861185761760572816848348402
y[1] (numeric) = 1.9249861185761760572816848348393
absolute error = 9e-31
relative error = 4.6753583899383582134000982627663e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.354
y[1] (analytic) = 1.925512459101444352439225471823
y[1] (numeric) = 1.925512459101444352439225471822
absolute error = 1.0e-30
relative error = 5.1934226406753967429267472869382e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.355
y[1] (analytic) = 1.9260396051799947500426319936327
y[1] (numeric) = 1.9260396051799947500426319936317
absolute error = 1.0e-30
relative error = 5.1920012304552102064916659329481e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.356
y[1] (analytic) = 1.9265675575201311125161819769068
y[1] (numeric) = 1.9265675575201311125161819769058
absolute error = 1.0e-30
relative error = 5.1905784258466149748217251737759e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.357
y[1] (analytic) = 1.9270963168294510407570432583412
y[1] (numeric) = 1.9270963168294510407570432583402
absolute error = 1.0e-30
relative error = 5.1891542278760967882206051102032e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.358
y[1] (analytic) = 1.9276258838148451665377320039872
y[1] (numeric) = 1.9276258838148451665377320039863
absolute error = 9e-31
relative error = 4.6689557738188577513125597810403e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.359
y[1] (analytic) = 1.9281562591824964456155398442861
y[1] (numeric) = 1.9281562591824964456155398442852
absolute error = 9e-31
relative error = 4.6676714903883557829962865150939e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.36
y[1] (analytic) = 1.9286874436378794515496369653549
y[1] (numeric) = 1.928687443637879451549636965354
absolute error = 9e-31
relative error = 4.6663859557379864612075066433628e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.361
y[1] (analytic) = 1.9292194378857596702265573393624
y[1] (numeric) = 1.9292194378857596702265573393615
absolute error = 9e-31
relative error = 4.6650991708144620444673635186185e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.362
y[1] (analytic) = 1.9297522426301927950947715684501
y[1] (numeric) = 1.9297522426301927950947715684492
absolute error = 9e-31
relative error = 4.6638111365701938767591835298127e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.363
y[1] (analytic) = 1.9302858585745240231090521075678
y[1] (numeric) = 1.9302858585745240231090521075668
absolute error = 1.0e-30
relative error = 5.1805798377369827000958675279955e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.364
y[1] (analytic) = 1.9308202864213873513853349217983
y[1] (numeric) = 1.9308202864213873513853349217973
absolute error = 1.0e-30
relative error = 5.1791459155083547844109189003489e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.365
y[1] (analytic) = 1.9313555268727048745667809232533
y[1] (numeric) = 1.9313555268727048745667809232523
absolute error = 1.0e-30
relative error = 5.1777106083581768844094664610591e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.366
y[1] (analytic) = 1.9318915806296860829017398214181
y[1] (numeric) = 1.931891580629686082901739821417
absolute error = 1.1e-30
relative error = 5.6939013091069166460363045779259e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.367
y[1] (analytic) = 1.9324284483928271610343183089238
y[1] (numeric) = 1.9324284483928271610343183089228
absolute error = 1.0e-30
relative error = 5.1748358436333596796267386439597e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.368
y[1] (analytic) = 1.9329661308619102875082537921215
y[1] (numeric) = 1.9329661308619102875082537921205
absolute error = 1.0e-30
relative error = 5.1733963882445247147781114739108e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.369
y[1] (analytic) = 1.9335046287360029349847941625237
y[1] (numeric) = 1.9335046287360029349847941625227
absolute error = 1.0e-30
relative error = 5.1719555523057302627217091020490e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.37
y[1] (analytic) = 1.9340439427134571711752833911776
y[1] (numeric) = 1.9340439427134571711752833911766
absolute error = 1.0e-30
relative error = 5.1705133369255475691322342674444e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.371
y[1] (analytic) = 1.9345840734919089604891520133249
y[1] (numeric) = 1.9345840734919089604891520133239
absolute error = 1.0e-30
relative error = 5.1690697432187989877642875981475e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=305.1MB, alloc=4.4MB, time=15.56
TOP MAIN SOLVE Loop
x[1] = 2.372
y[1] (analytic) = 1.9351250217682774663980108552994
y[1] (numeric) = 1.9351250217682774663980108552984
absolute error = 1.0e-30
relative error = 5.1676247723065487315802357194595e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.373
y[1] (analytic) = 1.9356667882387643545165456395113
y[1] (numeric) = 1.9356667882387643545165456395103
absolute error = 1.0e-30
relative error = 5.1661784253160935790990586197155e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.374
y[1] (analytic) = 1.9362093735988530964009093865652
y[1] (numeric) = 1.9362093735988530964009093865643
absolute error = 9e-31
relative error = 4.6482576330428581824570696159348e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.375
y[1] (analytic) = 1.936752778543308274065308816061
y[1] (numeric) = 1.9367527785433082740653088160601
absolute error = 9e-31
relative error = 4.6469534468767762072705497367499e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.376
y[1] (analytic) = 1.9372970037661748852174802294336
y[1] (numeric) = 1.9372970037661748852174802294327
absolute error = 9e-31
relative error = 4.6456480253175827358885804049524e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.377
y[1] (analytic) = 1.937842049960777649213749639298
y[1] (numeric) = 1.937842049960777649213749639297
absolute error = 1.0e-30
relative error = 5.1603792993357751768616294743785e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.378
y[1] (analytic) = 1.9383879178197203137343711901811
y[1] (numeric) = 1.9383879178197203137343711901801
absolute error = 1.0e-30
relative error = 5.1589260890812308379272160325864e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.379
y[1] (analytic) = 1.9389346080348849621798371952449
y[1] (numeric) = 1.9389346080348849621798371952439
absolute error = 1.0e-30
relative error = 5.1574715096426200885277763600482e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.38
y[1] (analytic) = 1.9394821212974313217888523926325
y[1] (numeric) = 1.9394821212974313217888523926314
absolute error = 1.1e-30
relative error = 5.6716171184096640733050260799789e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.381
y[1] (analytic) = 1.9400304582977960724786643034049
y[1] (numeric) = 1.9400304582977960724786643034039
absolute error = 1.0e-30
relative error = 5.1545582479019990718167783540919e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.382
y[1] (analytic) = 1.9405796197256921564084408506824
y[1] (numeric) = 1.9405796197256921564084408506813
absolute error = 1.1e-30
relative error = 5.6684095247557475602725353425896e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.383
y[1] (analytic) = 1.9411296062701080882663856765523
y[1] (numeric) = 1.9411296062701080882663856765513
absolute error = 1.0e-30
relative error = 5.1516395235530195178814556453492e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.384
y[1] (analytic) = 1.9416804186193072662812808695739
y[1] (numeric) = 1.9416804186193072662812808695729
absolute error = 1.0e-30
relative error = 5.1501781158769750080440646626141e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.385
y[1] (analytic) = 1.9422320574608272839591460912768
y[1] (numeric) = 1.9422320574608272839591460912758
absolute error = 1.0e-30
relative error = 5.1487153461329834754976256006479e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.386
y[1] (analytic) = 1.9427845234814792425457023649394
y[1] (numeric) = 1.9427845234814792425457023649384
absolute error = 1.0e-30
relative error = 5.1472512155284991343092413785736e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.387
y[1] (analytic) = 1.943337817367347064215328064124
y[1] (numeric) = 1.943337817367347064215328064123
absolute error = 1.0e-30
relative error = 5.1457857252770740069112359575050e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.388
y[1] (analytic) = 1.9438919398037868059871939119571
y[1] (numeric) = 1.9438919398037868059871939119561
absolute error = 1.0e-30
relative error = 5.1443188765983479708227671909237e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.389
y[1] (analytic) = 1.9444468914754259743692630749612
y[1] (numeric) = 1.9444468914754259743692630749602
absolute error = 1.0e-30
relative error = 5.1428506707180387622313610875376e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.39
y[1] (analytic) = 1.9450026730661628407308417073819
y[1] (numeric) = 1.945002673066162840730841707381
absolute error = 9e-31
relative error = 4.6272429979811387428883350543452e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.391
y[1] (analytic) = 1.945559285259165757404364573403
y[1] (numeric) = 1.945559285259165757404364573402
absolute error = 1.0e-30
relative error = 5.1399101922858707860068212442608e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.392
y[1] (analytic) = 1.946116728736872474517099645405
y[1] (numeric) = 1.946116728736872474517099645404
absolute error = 1.0e-30
relative error = 5.1384379222157462145325021314076e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.393
y[1] (analytic) = 1.9466750041809894575534548465086
y[1] (numeric) = 1.9466750041809894575534548465076
absolute error = 1.0e-30
relative error = 5.1369642999074865697963629204602e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.394
y[1] (analytic) = 1.9472341122724912056485693750364
y[1] (numeric) = 1.9472341122724912056485693750354
absolute error = 1.0e-30
relative error = 5.1354893266170474327612647474176e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.395
y[1] (analytic) = 1.947794053691619570613871317247
y[1] (numeric) = 1.947794053691619570613871317246
absolute error = 1.0e-30
relative error = 5.1340130036064013647133303541319e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.396
y[1] (analytic) = 1.9483548291178830766952825227261
y[1] (numeric) = 1.9483548291178830766952825227251
absolute error = 1.0e-30
relative error = 5.1325353321435276119305254011825e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.397
y[1] (analytic) = 1.9489164392300562410647509841728
y[1] (numeric) = 1.9489164392300562410647509841719
absolute error = 9e-31
relative error = 4.6179506821521615912859930793335e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.398
y[1] (analytic) = 1.9494788847061788950457902299932
y[1] (numeric) = 1.9494788847061788950457902299923
absolute error = 9e-31
relative error = 4.6166183540666868551098767911168e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.399
y[1] (analytic) = 1.950042166223555506073704504104
y[1] (numeric) = 1.950042166223555506073704504103
absolute error = 1.0e-30
relative error = 5.1280942398112155986197042620419e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=309.0MB, alloc=4.4MB, time=15.77
TOP MAIN SOLVE Loop
x[1] = 2.4
y[1] (analytic) = 1.9506062844587545003911777726652
y[1] (numeric) = 1.9506062844587545003911777726642
absolute error = 1.0e-30
relative error = 5.1266111873389945697788374755665e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.401
y[1] (analytic) = 1.951171240087607586479903862097
y[1] (numeric) = 1.951171240087607586479903862096
absolute error = 1.0e-30
relative error = 5.1251267928441790743468683228039e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.402
y[1] (analytic) = 1.9517370337852090792289342966924
y[1] (numeric) = 1.9517370337852090792289342966915
absolute error = 9e-31
relative error = 4.6112769518675129174302568076825e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.403
y[1] (analytic) = 1.9523036662259152248404196674242
y[1] (numeric) = 1.9523036662259152248404196674232
absolute error = 1.0e-30
relative error = 5.1221539830079013083518529003565e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.404
y[1] (analytic) = 1.9528711380833435264734196261454
y[1] (numeric) = 1.9528711380833435264734196261445
absolute error = 9e-31
relative error = 4.6085990132626472900091419082888e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.405
y[1] (analytic) = 1.9534394500303720706264558613207
y[1] (numeric) = 1.9534394500303720706264558613197
absolute error = 1.0e-30
relative error = 5.1191758208039261367539690063216e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.406
y[1] (analytic) = 1.9540086027391388542594816726758
y[1] (numeric) = 1.9540086027391388542594816726748
absolute error = 1.0e-30
relative error = 5.1176847358716593653289268427392e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.407
y[1] (analytic) = 1.9545785968810411126559410227427
y[1] (numeric) = 1.9545785968810411126559410227417
absolute error = 1.0e-30
relative error = 5.1161923168283912941302552768769e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.408
y[1] (analytic) = 1.9551494331267346480255892031832
y[1] (numeric) = 1.9551494331267346480255892031822
absolute error = 1.0e-30
relative error = 5.1146985650133630873247146081600e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.409
y[1] (analytic) = 1.9557211121461331588487465130151
y[1] (numeric) = 1.9557211121461331588487465130141
absolute error = 1.0e-30
relative error = 5.1132034817716849514545173133931e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.41
y[1] (analytic) = 1.956293634608407569962655604432
y[1] (numeric) = 1.956293634608407569962655604431
absolute error = 1.0e-30
relative error = 5.1117070684543252590887764060067e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.411
y[1] (analytic) = 1.9568670011819853633906124098023
y[1] (numeric) = 1.9568670011819853633906124098012
absolute error = 1.1e-30
relative error = 5.6212302590599095950530958010938e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.412
y[1] (analytic) = 1.9574412125345499099145398206613
y[1] (numeric) = 1.9574412125345499099145398206602
absolute error = 1.1e-30
relative error = 5.6195812827282259813584596539268e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.413
y[1] (analytic) = 1.9580162693330398013916725460678
y[1] (numeric) = 1.9580162693330398013916725460667
absolute error = 1.1e-30
relative error = 5.6179308478100318717082102144924e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.414
y[1] (analytic) = 1.9585921722436481838160208335834
y[1] (numeric) = 1.9585921722436481838160208335823
absolute error = 1.1e-30
relative error = 5.6162789558170478752485478480759e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.415
y[1] (analytic) = 1.9591689219318220911252799913558
y[1] (numeric) = 1.9591689219318220911252799913547
absolute error = 1.1e-30
relative error = 5.6146256082673780964999008410475e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.416
y[1] (analytic) = 1.9597465190622617797538519043411
y[1] (numeric) = 1.95974651906226177975385190434
absolute error = 1.1e-30
relative error = 5.6129708066854979053897465171509e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.417
y[1] (analytic) = 1.9603249642989200639326439915884
y[1] (numeric) = 1.9603249642989200639326439915872
absolute error = 1.2e-30
relative error = 6.1214340573842636328367604291447e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.418
y[1] (analytic) = 1.9609042583050016517363103047312
y[1] (numeric) = 1.96090425830500165173631030473
absolute error = 1.2e-30
relative error = 6.1196256518779531704037584908702e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.419
y[1] (analytic) = 1.9614844017429624818785987203911
y[1] (numeric) = 1.9614844017429624818785987203899
absolute error = 1.2e-30
relative error = 6.1178156651854467078772604390452e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.42
y[1] (analytic) = 1.9620653952745090612564674310893
y[1] (numeric) = 1.9620653952745090612564674310881
absolute error = 1.2e-30
relative error = 6.1160040989974757982740407168967e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.421
y[1] (analytic) = 1.9626472395605978032436331904954
y[1] (numeric) = 1.9626472395605978032436331904943
absolute error = 1.1e-30
relative error = 5.6046750420940171223034933888071e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.422
y[1] (analytic) = 1.9632299352614343667342130194104
y[1] (numeric) = 1.9632299352614343667342130194093
absolute error = 1.1e-30
relative error = 5.6030115486880960909778738880907e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.423
y[1] (analytic) = 1.9638134830364729959371203287855
y[1] (numeric) = 1.9638134830364729959371203287844
absolute error = 1.1e-30
relative error = 5.6013466120986511771365219704717e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.424
y[1] (analytic) = 1.9643978835444158609218756653275
y[1] (numeric) = 1.9643978835444158609218756653264
absolute error = 1.1e-30
relative error = 5.5996802339006823622064298039890e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.425
y[1] (analytic) = 1.9649831374432123989164915338238
y[1] (numeric) = 1.9649831374432123989164915338228
absolute error = 1.0e-30
relative error = 5.0891021960685898788704236243257e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.426
y[1] (analytic) = 1.9655692453900586563580899982483
y[1] (numeric) = 1.9655692453900586563580899982472
absolute error = 1.1e-30
relative error = 5.5963431590104564883327692381590e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.427
y[1] (analytic) = 1.9661562080413966316969110109739
y[1] (numeric) = 1.9661562080413966316969110109728
absolute error = 1.1e-30
relative error = 5.5946724654994448968425353134004e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=312.8MB, alloc=4.4MB, time=15.98
x[1] = 2.428
y[1] (analytic) = 1.9667440260529136189543686660314
y[1] (numeric) = 1.9667440260529136189543686660303
absolute error = 1.1e-30
relative error = 5.5930003367423748876662195288098e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.429
y[1] (analytic) = 1.9673327000795415520358118183007
y[1] (numeric) = 1.9673327000795415520358118182997
absolute error = 1.0e-30
relative error = 5.0830243403140141750989117402813e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.43
y[1] (analytic) = 1.9679222307754563497986447558221
y[1] (numeric) = 1.9679222307754563497986447558211
absolute error = 1.0e-30
relative error = 5.0815016181099378625976295239310e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.431
y[1] (analytic) = 1.9685126187940772618764628570493
y[1] (numeric) = 1.9685126187940772618764628570483
absolute error = 1.0e-30
relative error = 5.0799775955340639328045866774888e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.432
y[1] (analytic) = 1.9691038647880662152598574088567
y[1] (numeric) = 1.9691038647880662152598574088557
absolute error = 1.0e-30
relative error = 5.0784522740634078289539297117008e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.433
y[1] (analytic) = 1.9696959694093271616345430044404
y[1] (numeric) = 1.9696959694093271616345430044394
absolute error = 1.0e-30
relative error = 5.0769256551805820503942655671982e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.434
y[1] (analytic) = 1.9702889333090054254774601829307
y[1] (numeric) = 1.9702889333090054254774601829298
absolute error = 9e-31
relative error = 4.5678579663364059029567786242932e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.435
y[1] (analytic) = 1.9708827571374870529115052145606
y[1] (numeric) = 1.9708827571374870529115052145597
absolute error = 9e-31
relative error = 4.5664816780231072324076443969939e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.436
y[1] (analytic) = 1.9714774415443981613195381766043
y[1] (numeric) = 1.9714774415443981613195381766034
absolute error = 9e-31
relative error = 4.5651042260720271934850585297248e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.437
y[1] (analytic) = 1.9720729871786042897183197060257
y[1] (numeric) = 1.9720729871786042897183197060248
absolute error = 9e-31
relative error = 4.5637256118375597569241734237306e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.438
y[1] (analytic) = 1.9726693946882097498930260548438
y[1] (numeric) = 1.9726693946882097498930260548429
absolute error = 9e-31
relative error = 4.5623458366790827357529326444828e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.439
y[1] (analytic) = 1.9732666647205569782929913136475
y[1] (numeric) = 1.9732666647205569782929913136466
absolute error = 9e-31
relative error = 4.5609649019609469833635372606303e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.44
y[1] (analytic) = 1.9738647979222258886893249074626
y[1] (numeric) = 1.9738647979222258886893249074617
absolute error = 9e-31
relative error = 4.5595828090524655584447415999262e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.441
y[1] (analytic) = 1.9744637949390332255950517063003
y[1] (numeric) = 1.9744637949390332255950517062994
absolute error = 9e-31
relative error = 4.5581995593279028569000825762233e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.442
y[1] (analytic) = 1.9750636564160319184484213301924
y[1] (numeric) = 1.9750636564160319184484213301915
absolute error = 9e-31
relative error = 4.5568151541664637108776241378085e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.443
y[1] (analytic) = 1.9756643829975104365600324653506
y[1] (numeric) = 1.9756643829975104365600324653497
absolute error = 9e-31
relative error = 4.5554295949522824550372730575898e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.444
y[1] (analytic) = 1.9762659753269921448244172442719
y[1] (numeric) = 1.976265975326992144824417244271
absolute error = 9e-31
relative error = 4.5540428830744119601821942199053e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.445
y[1] (analytic) = 1.9768684340472346601967299781519
y[1] (numeric) = 1.976868434047234660196729978151
absolute error = 9e-31
relative error = 4.5526550199268126343813227470088e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.446
y[1] (analytic) = 1.9774717598002292089351837648632
y[1] (numeric) = 1.9774717598002292089351837648623
absolute error = 9e-31
relative error = 4.5512660069083413917104367406966e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.447
y[1] (analytic) = 1.9780759532271999846098777300096
y[1] (numeric) = 1.9780759532271999846098777300086
absolute error = 1.0e-30
relative error = 5.0554176060252673208219089791949e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.448
y[1] (analytic) = 1.9786810149686035068786568921743
y[1] (numeric) = 1.9786810149686035068786568921733
absolute error = 1.0e-30
relative error = 5.0538717076429188098846551304642e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.449
y[1] (analytic) = 1.9792869456641279810306458764501
y[1] (numeric) = 1.9792869456641279810306458764492
absolute error = 9e-31
relative error = 4.5470920826894803348298751867516e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.45
y[1] (analytic) = 1.9798937459526926582980969326635
y[1] (numeric) = 1.9798937459526926582980969326626
absolute error = 9e-31
relative error = 4.5456984842736327889129842187766e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.451
y[1] (analytic) = 1.9805014164724471969371919463912
y[1] (numeric) = 1.9805014164724471969371919463903
absolute error = 9e-31
relative error = 4.5443037430542571420018751793977e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.452
y[1] (analytic) = 1.9811099578607710240784373619149
y[1] (numeric) = 1.981109957860771024078437361914
absolute error = 9e-31
relative error = 4.5429078604593558905920018106687e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.453
y[1] (analytic) = 1.9817193707542726983472901666654
y[1] (numeric) = 1.9817193707542726983472901666645
absolute error = 9e-31
relative error = 4.5415108379217499224964929909641e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.454
y[1] (analytic) = 1.9823296557887892732556523164768
y[1] (numeric) = 1.9823296557887892732556523164759
absolute error = 9e-31
relative error = 4.5401126768790672311794610805487e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.455
y[1] (analytic) = 1.9829408135993856613648702101043
y[1] (numeric) = 1.9829408135993856613648702101034
absolute error = 9e-31
relative error = 4.5387133787737315988755748162893e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=316.6MB, alloc=4.4MB, time=16.17
x[1] = 2.456
y[1] (analytic) = 1.9835528448203539992208750499517
y[1] (numeric) = 1.9835528448203539992208750499508
absolute error = 9e-31
relative error = 4.5373129450529512486278711680499e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.457
y[1] (analytic) = 1.9841657500852130130620991538166
y[1] (numeric) = 1.9841657500852130130620991538157
absolute error = 9e-31
relative error = 4.5359113771687074653762160591929e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.458
y[1] (analytic) = 1.9847795300267073853008025096836
y[1] (numeric) = 1.9847795300267073853008025096828
absolute error = 8e-31
relative error = 4.0306743791802161655371168673374e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.459
y[1] (analytic) = 1.9853941852768071217784430921862
y[1] (numeric) = 1.9853941852768071217784430921854
absolute error = 8e-31
relative error = 4.0294265286591569422694544306911e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.46
y[1] (analytic) = 1.9860097164667069197957236853138
y[1] (numeric) = 1.986009716466706919795723685313
absolute error = 8e-31
relative error = 4.0281776738901017568983773696074e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.461
y[1] (analytic) = 1.9866261242268255369179471812656
y[1] (numeric) = 1.9866261242268255369179471812649
absolute error = 7e-31
relative error = 3.5235618391579986058662125593125e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.462
y[1] (analytic) = 1.9872434091868051605563115500426
y[1] (numeric) = 1.9872434091868051605563115500418
absolute error = 8e-31
relative error = 4.0256769568422721434871975814618e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.463
y[1] (analytic) = 1.9878615719755107783257748984294
y[1] (numeric) = 1.9878615719755107783257748984287
absolute error = 7e-31
relative error = 3.5213719600422134718578252703749e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.464
y[1] (analytic) = 1.988480613221029549180120260451
y[1] (numeric) = 1.9884806132210295491801202604503
absolute error = 7e-31
relative error = 3.5202757087287302846386666804924e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.465
y[1] (analytic) = 1.9891005335506701753248489841838
y[1] (numeric) = 1.9891005335506701753248489841831
absolute error = 7e-31
relative error = 3.5191785844552349289921898149047e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.466
y[1] (analytic) = 1.9897213335909622749085308019782
y[1] (numeric) = 1.9897213335909622749085308019775
absolute error = 7e-31
relative error = 3.5180805883840554330413946652696e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.467
y[1] (analytic) = 1.9903430139676557554932378926882
y[1] (numeric) = 1.9903430139676557554932378926875
absolute error = 7e-31
relative error = 3.5169817216811424026893225896627e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.468
y[1] (analytic) = 1.9909655753057201883046894654236
y[1] (numeric) = 1.9909655753057201883046894654228
absolute error = 8e-31
relative error = 4.0181508405897827582369149464887e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.469
y[1] (analytic) = 1.9915890182293441832627326146261
y[1] (numeric) = 1.9915890182293441832627326146253
absolute error = 8e-31
relative error = 4.0168930069279730051575941602740e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.47
y[1] (analytic) = 1.9922133433619347647927844159384
y[1] (numeric) = 1.9922133433619347647927844159377
absolute error = 7e-31
relative error = 3.5136799094956553999947574535111e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.471
y[1] (analytic) = 1.9928385513261167484188594513709
y[1] (numeric) = 1.9928385513261167484188594513701
absolute error = 8e-31
relative error = 4.0143743679970818088478346390801e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.472
y[1] (analytic) = 1.9934646427437321181388061706859
y[1] (numeric) = 1.9934646427437321181388061706851
absolute error = 8e-31
relative error = 4.0131135654300301091827176734789e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.473
y[1] (analytic) = 1.9940916182358394045823747137136
y[1] (numeric) = 1.9940916182358394045823747137128
absolute error = 8e-31
relative error = 4.0118517759367299370947654424442e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.474
y[1] (analytic) = 1.9947194784227130639527380354774
y[1] (numeric) = 1.9947194784227130639527380354766
absolute error = 8e-31
relative error = 4.0105890008783839805586677743785e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.475
y[1] (analytic) = 1.9953482239238428577520873925573
y[1] (numeric) = 1.9953482239238428577520873925565
absolute error = 8e-31
relative error = 4.0093252416202510187736634593804e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.476
y[1] (analytic) = 1.9959778553579332332919224650436
y[1] (numeric) = 1.9959778553579332332919224650428
absolute error = 8e-31
relative error = 4.0080604995316353077339146568130e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.477
y[1] (analytic) = 1.9966083733429027049886556037396
y[1] (numeric) = 1.9966083733429027049886556037388
absolute error = 8e-31
relative error = 4.0067947759858759407196119004784e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.478
y[1] (analytic) = 1.9972397784958832364451489069571
y[1] (numeric) = 1.9972397784958832364451489069563
absolute error = 8e-31
relative error = 4.0055280723603361838340363216596e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.479
y[1] (analytic) = 1.9978720714332196233188020453161
y[1] (numeric) = 1.9978720714332196233188020453153
absolute error = 8e-31
relative error = 4.0042603900363927867121350625952e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.48
y[1] (analytic) = 1.9985052527704688769768079664097
y[1] (numeric) = 1.9985052527704688769768079664089
absolute error = 8e-31
relative error = 4.0029917303994252685264925041018e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.481
y[1] (analytic) = 1.9991393231223996089391928240271
y[1] (numeric) = 1.9991393231223996089391928240263
absolute error = 8e-31
relative error = 4.0017220948388051794169038751021e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.482
y[1] (analytic) = 1.9997742831029914161102556888434
y[1] (numeric) = 1.9997742831029914161102556888427
absolute error = 7e-31
relative error = 3.5003950491543996702863191625306e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.483
y[1] (analytic) = 2.0004101333254342667990228090854
y[1] (numeric) = 2.0004101333254342667990228090847
absolute error = 7e-31
relative error = 3.4992824138334904112042824458775e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=320.4MB, alloc=4.4MB, time=16.38
x[1] = 2.484
y[1] (analytic) = 2.0010468744021278875293304006672
y[1] (numeric) = 2.0010468744021278875293304006665
absolute error = 7e-31
relative error = 3.4981689282473493515290594994468e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.485
y[1] (analytic) = 2.0016845069446811506401491566634
y[1] (numeric) = 2.0016845069446811506401491566626
absolute error = 8e-31
relative error = 3.9966338212863477912237367935634e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.486
y[1] (analytic) = 2.0023230315639114626767628757421
y[1] (numeric) = 2.0023230315639114626767628757413
absolute error = 8e-31
relative error = 3.9953593270870044134967152920703e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.487
y[1] (analytic) = 2.0029624488698441535734128183306
y[1] (numeric) = 2.0029624488698441535734128183298
absolute error = 8e-31
relative error = 3.9940838653834659913775348616159e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.488
y[1] (analytic) = 2.0036027594717118666280186078162
y[1] (numeric) = 2.0036027594717118666280186078154
absolute error = 8e-31
relative error = 3.9928074375927455740376578653794e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.489
y[1] (analytic) = 2.004243963977953949269585702012
y[1] (numeric) = 2.0042439639779539492695857020112
absolute error = 8e-31
relative error = 3.9915300451357614635515678518613e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.49
y[1] (analytic) = 2.0048860629962158446189086674284
y[1] (numeric) = 2.0048860629962158446189086674277
absolute error = 7e-31
relative error = 3.4914702282576604782613930560841e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.491
y[1] (analytic) = 2.0055290571333484838431786955978
y[1] (numeric) = 2.005529057133348483843178695597
absolute error = 8e-31
relative error = 3.9889723719261358884970378516339e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.492
y[1] (analytic) = 2.0061729469954076793051030067916
y[1] (numeric) = 2.0061729469954076793051030067909
absolute error = 7e-31
relative error = 3.4892305822804137662475785692989e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.493
y[1] (analytic) = 2.0068177331876535185071429919635
y[1] (numeric) = 2.0068177331876535185071429919628
absolute error = 7e-31
relative error = 3.4881095000496709181598046947862e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.494
y[1] (analytic) = 2.0074634163145497588314771486261
y[1] (numeric) = 2.0074634163145497588314771486254
absolute error = 7e-31
relative error = 3.4869875800033851763411558297037e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.495
y[1] (analytic) = 2.008109996979763223076294070651
y[1] (numeric) = 2.0081099969797632230762940706503
absolute error = 7e-31
relative error = 3.4858648234051606431086572592104e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.496
y[1] (analytic) = 2.0087574757861631957890199556471
y[1] (numeric) = 2.0087574757861631957890199556463
absolute error = 8e-31
relative error = 3.9825614074536582851995185546221e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.497
y[1] (analytic) = 2.0094058533358208203970842966393
y[1] (numeric) = 2.0094058533358208203970842966385
absolute error = 8e-31
relative error = 3.9812763492846283205067022292235e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.498
y[1] (analytic) = 2.0100551302300084971368266272334
y[1] (numeric) = 2.0100551302300084971368266272326
absolute error = 8e-31
relative error = 3.9799903394115207195400991813847e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.499
y[1] (analytic) = 2.0107053070691992817811463913075
y[1] (numeric) = 2.0107053070691992817811463913067
absolute error = 8e-31
relative error = 3.9787033792937000408149098710902e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.5
y[1] (analytic) = 2.0113563844530662851664972095326
y[1] (numeric) = 2.0113563844530662851664972095319
absolute error = 7e-31
relative error = 3.4802385365950250488933767427091e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.501
y[1] (analytic) = 2.0120083629804820735198260156767
y[1] (numeric) = 2.012008362980482073519826015676
absolute error = 7e-31
relative error = 3.4791107874077484779147534066737e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.502
y[1] (analytic) = 2.0126612432495180695860567357028
y[1] (numeric) = 2.0126612432495180695860567357021
absolute error = 7e-31
relative error = 3.4779822106070040683715268053204e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.503
y[1] (analytic) = 2.0133150258574439545567173821292
y[1] (numeric) = 2.0133150258574439545567173821285
absolute error = 7e-31
relative error = 3.4768528074829191618138451102065e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.504
y[1] (analytic) = 2.0139697114007270708003086349728
y[1] (numeric) = 2.013969711400727070800308634972
absolute error = 8e-31
relative error = 3.9722543763758769554211970625071e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.505
y[1] (analytic) = 2.0146253004750318253950111788587
y[1] (numeric) = 2.014625300475031825395011178858
absolute error = 7e-31
relative error = 3.4745915274415835263348397844940e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.506
y[1] (analytic) = 2.0152817936752190944643282635388
y[1] (numeric) = 2.0152817936752190944643282635381
absolute error = 7e-31
relative error = 3.4734596531209041287464870936395e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.507
y[1] (analytic) = 2.0159391915953456283162591521262
y[1] (numeric) = 2.0159391915953456283162591521255
absolute error = 7e-31
relative error = 3.4723269576700070838924749275029e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.508
y[1] (analytic) = 2.0165974948286634573865983178236
y[1] (numeric) = 2.0165974948286634573865983178228
absolute error = 8e-31
relative error = 3.9670782198803165063295000956351e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.509
y[1] (analytic) = 2.0172567039676192989869544457962
y[1] (numeric) = 2.0172567039676192989869544457954
absolute error = 8e-31
relative error = 3.9657818384072227606747021217916e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.51
y[1] (analytic) = 2.0179168196038539648580824921216
y[1] (numeric) = 2.0179168196038539648580824921208
absolute error = 8e-31
relative error = 3.9644845229896615982237813705588e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.511
y[1] (analytic) = 2.0185778423282017695291212464338
y[1] (numeric) = 2.018577842328201769529121246433
absolute error = 8e-31
relative error = 3.9631862751316554140240403587428e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.512
y[1] (analytic) = 2.0192397727306899394833280389756
y[1] (numeric) = 2.0192397727306899394833280389748
absolute error = 8e-31
relative error = 3.9618870963408742512302834877228e-29 %
Correct digits = 30
h = 0.001
memory used=324.2MB, alloc=4.4MB, time=16.59
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.513
y[1] (analytic) = 2.0199026114005380231309014262756
y[1] (numeric) = 2.0199026114005380231309014262748
absolute error = 8e-31
relative error = 3.9605869881286243445214249736425e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.514
y[1] (analytic) = 2.0205663589261573015894818825765
y[1] (numeric) = 2.0205663589261573015894818825757
absolute error = 8e-31
relative error = 3.9592859520098366432692169134736e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.515
y[1] (analytic) = 2.0212310158951502002729197164668
y[1] (numeric) = 2.021231015895150200272919716466
absolute error = 8e-31
relative error = 3.9579839895030553145946705484995e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.516
y[1] (analytic) = 2.0218965828943097012888986238975
y[1] (numeric) = 2.0218965828943097012888986238967
absolute error = 8e-31
relative error = 3.9566811021304262264479698956314e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.517
y[1] (analytic) = 2.0225630605096187566460024799121
y[1] (numeric) = 2.0225630605096187566460024799112
absolute error = 9e-31
relative error = 4.4497994528448960872038876817223e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.518
y[1] (analytic) = 2.0232304493262497022708121619733
y[1] (numeric) = 2.0232304493262497022708121619724
absolute error = 9e-31
relative error = 4.4483316287559159458441629485251e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.519
y[1] (analytic) = 2.0238987499285636728356183877425
y[1] (numeric) = 2.0238987499285636728356183877416
absolute error = 9e-31
relative error = 4.4468627693542809607677757916880e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.52
y[1] (analytic) = 2.0245679629001100173973357395482
y[1] (numeric) = 2.0245679629001100173973357395473
absolute error = 9e-31
relative error = 4.4453928763684828776886337553263e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.521
y[1] (analytic) = 2.0252380888236257158482022365822
y[1] (numeric) = 2.0252380888236257158482022365814
absolute error = 8e-31
relative error = 3.9501528458053335478568033563367e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.522
y[1] (analytic) = 2.0259091282810347961788480040756
y[1] (numeric) = 2.0259091282810347961788480040747
absolute error = 9e-31
relative error = 4.4424499965782853073145823624204e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.523
y[1] (analytic) = 2.026581081853447752554315776335
y[1] (numeric) = 2.0265810818534477525543157763341
absolute error = 9e-31
relative error = 4.4409770132507509325237645320443e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.524
y[1] (analytic) = 2.0272539501211609642036151575735
y[1] (numeric) = 2.0272539501211609642036151575727
absolute error = 8e-31
relative error = 3.9462248918157843950153815949483e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.525
y[1] (analytic) = 2.0279277336636561151233917509309
y[1] (numeric) = 2.0279277336636561151233917509301
absolute error = 8e-31
relative error = 3.9449137497356439902060308860057e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.526
y[1] (analytic) = 2.0286024330595996145962914519666
y[1] (numeric) = 2.0286024330595996145962914519658
absolute error = 8e-31
relative error = 3.9436016982066603183777225461870e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.527
y[1] (analytic) = 2.0292780488868420185245993882131
y[1] (numeric) = 2.0292780488868420185245993882123
absolute error = 8e-31
relative error = 3.9422887387898322631856647459808e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.528
y[1] (analytic) = 2.0299545817224174515797321711021
y[1] (numeric) = 2.0299545817224174515797321711013
absolute error = 8e-31
relative error = 3.9409748730496206976326109730272e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.529
y[1] (analytic) = 2.0306320321425430301681613107234
y[1] (numeric) = 2.0306320321425430301681613107226
absolute error = 8e-31
relative error = 3.9396601025539367199095541081594e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.53
y[1] (analytic) = 2.031310400722618286214344827445
y[1] (numeric) = 2.0313104007226182862143448274442
absolute error = 8e-31
relative error = 3.9383444288741298711832340373574e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.531
y[1] (analytic) = 2.0319896880372245917612432774141
y[1] (numeric) = 2.0319896880372245917612432774133
absolute error = 8e-31
relative error = 3.9370278535849763354693045005423e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.532
y[1] (analytic) = 2.0326698946601245843889955913762
y[1] (numeric) = 2.0326698946601245843889955913754
absolute error = 8e-31
relative error = 3.9357103782646671217301848758974e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.533
y[1] (analytic) = 2.0333510211642615934523293080878
y[1] (numeric) = 2.033351021164261593452329308087
absolute error = 8e-31
relative error = 3.9343920044947962283367996981883e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.534
y[1] (analytic) = 2.0340330681217590671372789648646
y[1] (numeric) = 2.0340330681217590671372789648637
absolute error = 9e-31
relative error = 4.4247068255928923887877807737111e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.535
y[1] (analytic) = 2.0347160361039200003377855884991
y[1] (numeric) = 2.0347160361039200003377855884982
absolute error = 9e-31
relative error = 4.4232216389434003584895820373695e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.536
y[1] (analytic) = 2.0353999256812263633527494099015
y[1] (numeric) = 2.0353999256812263633527494099006
absolute error = 9e-31
relative error = 4.4217354468988679174689170778716e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.537
y[1] (analytic) = 2.0360847374233385314041071053615
y[1] (numeric) = 2.0360847374233385314041071053606
absolute error = 9e-31
relative error = 4.4202482512537682251053862330367e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.538
y[1] (analytic) = 2.0367704718990947149765040463084
y[1] (numeric) = 2.0367704718990947149765040463075
absolute error = 9e-31
relative error = 4.4187600538063359368456941397134e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.539
y[1] (analytic) = 2.037457129676510390979131217848
y[1] (numeric) = 2.0374571296765103909791312178471
absolute error = 9e-31
relative error = 4.4172708563585537734787611394777e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.54
y[1] (analytic) = 2.0381447113227777347302956441934
y[1] (numeric) = 2.0381447113227777347302956441926
absolute error = 8e-31
relative error = 3.9251383650810125081526532515766e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=328.0MB, alloc=4.4MB, time=16.80
TOP MAIN SOLVE Loop
x[1] = 2.541
y[1] (analytic) = 2.038833217404265052765292336371
y[1] (numeric) = 2.0388332174042650527652923363702
absolute error = 8e-31
relative error = 3.9238128610564713919333171752435e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.542
y[1] (analytic) = 2.0395226484865162164681449542825
y[1] (numeric) = 2.0395226484865162164681449542817
absolute error = 8e-31
relative error = 3.9224864729678876907593843697378e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.543
y[1] (analytic) = 2.0402130051342500965277815513359
y[1] (numeric) = 2.0402130051342500965277815513351
absolute error = 8e-31
relative error = 3.9211592024302305624078416394571e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.544
y[1] (analytic) = 2.0409042879113599982192109454216
y[1] (numeric) = 2.0409042879113599982192109454208
absolute error = 8e-31
relative error = 3.9198310510617408391404707262336e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.545
y[1] (analytic) = 2.0415964973809130975102644350111
y[1] (numeric) = 2.0415964973809130975102644350102
absolute error = 9e-31
relative error = 4.4083147730444088653818824873966e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.546
y[1] (analytic) = 2.0422896341051498779944667535882
y[1] (numeric) = 2.0422896341051498779944667535874
absolute error = 8e-31
relative error = 3.9171721123215130759979489186490e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.547
y[1] (analytic) = 2.0429836986454835686505993294971
y[1] (numeric) = 2.0429836986454835686505993294963
absolute error = 8e-31
relative error = 3.9158413282025066678737361255887e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.548
y[1] (analytic) = 2.0436786915624995824295180915945
y[1] (numeric) = 2.0436786915624995824295180915937
absolute error = 8e-31
relative error = 3.9145096697581067773362393852715e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.549
y[1] (analytic) = 2.0443746134159549556687872338436
y[1] (numeric) = 2.0443746134159549556687872338427
absolute error = 9e-31
relative error = 4.4023242809505732200547428147350e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.55
y[1] (analytic) = 2.0450714647647777883356895241677
y[1] (numeric) = 2.0450714647647777883356895241668
absolute error = 9e-31
relative error = 4.4008242034882490535803028651497e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.551
y[1] (analytic) = 2.0457692461670666850991729145081
y[1] (numeric) = 2.0457692461670666850991729145072
absolute error = 9e-31
relative error = 4.3993231479368028709696127949343e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.552
y[1] (analytic) = 2.0464679581800901972312923800909
y[1] (numeric) = 2.0464679581800901972312923800901
absolute error = 8e-31
relative error = 3.9091743254628548768687294126282e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.553
y[1] (analytic) = 2.0471676013602862653387050864172
y[1] (numeric) = 2.0471676013602862653387050864164
absolute error = 8e-31
relative error = 3.9078383199715652036396042742503e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.554
y[1] (analytic) = 2.0478681762632616629247761524322
y[1] (numeric) = 2.0478681762632616629247761524314
absolute error = 8e-31
relative error = 3.9065014500091376643632871820567e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.555
y[1] (analytic) = 2.0485696834437914407828514477231
y[1] (numeric) = 2.0485696834437914407828514477223
absolute error = 8e-31
relative error = 3.9051637172290037094325312068953e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.556
y[1] (analytic) = 2.0492721234558183722212530304262
y[1] (numeric) = 2.0492721234558183722212530304254
absolute error = 8e-31
relative error = 3.9038251232877210162813299441868e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.557
y[1] (analytic) = 2.0499754968524523991205520008008
y[1] (numeric) = 2.0499754968524523991205520008
absolute error = 8e-31
relative error = 3.9024856698449612727503004013398e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.558
y[1] (analytic) = 2.0506798041859700788236727131519
y[1] (numeric) = 2.050679804185970078823672713151
absolute error = 9e-31
relative error = 4.3887885283839351896382205772248e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.559
y[1] (analytic) = 2.0513850460078140318593814559504
y[1] (numeric) = 2.0513850460078140318593814559495
absolute error = 9e-31
relative error = 4.3872797149978432944718798824798e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.56
y[1] (analytic) = 2.0520912228685923904997118766176
y[1] (numeric) = 2.0520912228685923904997118766167
absolute error = 9e-31
relative error = 4.3857699402948635601042037049985e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.561
y[1] (analytic) = 2.0527983353180782481518785935004
y[1] (numeric) = 2.0527983353180782481518785934996
absolute error = 8e-31
relative error = 3.8971192943608906044883374477571e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.562
y[1] (analytic) = 2.0535063839052091095852296030802
y[1] (numeric) = 2.0535063839052091095852296030794
absolute error = 8e-31
relative error = 3.8957755684139543609941204843703e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.563
y[1] (analytic) = 2.054215369178086341993787255415
y[1] (numeric) = 2.0542153691780863419937872554142
absolute error = 8e-31
relative error = 3.8944309929882795216841183881597e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.564
y[1] (analytic) = 2.0549252916839746268949267352295
y[1] (numeric) = 2.0549252916839746268949267352287
absolute error = 8e-31
relative error = 3.8930855697649926144930423700209e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.565
y[1] (analytic) = 2.0556361519693014128647401499289
y[1] (numeric) = 2.0556361519693014128647401499281
absolute error = 8e-31
relative error = 3.8917393004282359488401872652139e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.566
y[1] (analytic) = 2.0563479505796563691106334891255
y[1] (numeric) = 2.0563479505796563691106334891247
absolute error = 8e-31
relative error = 3.8903921866651552771802545437562e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.567
y[1] (analytic) = 2.0570606880597908398817028830372
y[1] (numeric) = 2.0570606880597908398817028830364
absolute error = 8e-31
relative error = 3.8890442301658874437355885003248e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.568
y[1] (analytic) = 2.0577743649536172997174357493354
y[1] (numeric) = 2.0577743649536172997174357493345
absolute error = 9e-31
relative error = 4.3736573617014915231225708198296e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=331.8MB, alloc=4.4MB, time=17.01
TOP MAIN SOLVE Loop
x[1] = 2.569
y[1] (analytic) = 2.0584889818042088095352815796951
y[1] (numeric) = 2.0584889818042088095352815796942
absolute error = 9e-31
relative error = 4.3721390202009962974105443344446e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.57
y[1] (analytic) = 2.0592045391537984735576362784329
y[1] (numeric) = 2.059204539153798473557636278432
absolute error = 9e-31
relative error = 4.3706197363465530686891232687791e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.571
y[1] (analytic) = 2.0599210375437788970787831262012
y[1] (numeric) = 2.0599210375437788970787831262003
absolute error = 9e-31
relative error = 4.3690995120528864651370769383904e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.572
y[1] (analytic) = 2.0606384775147016450723326017539
y[1] (numeric) = 2.0606384775147016450723326017531
absolute error = 8e-31
relative error = 3.8822918659893479170069611406194e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.573
y[1] (analytic) = 2.0613568596062767016397024542985
y[1] (numeric) = 2.0613568596062767016397024542977
absolute error = 8e-31
relative error = 3.8809388887317725568421089811171e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.574
y[1] (analytic) = 2.0620761843573719303001785779084
y[1] (numeric) = 2.0620761843573719303001785779076
absolute error = 8e-31
relative error = 3.8795850806516783819097421409979e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.575
y[1] (analytic) = 2.0627964523060125351230963978912
y[1] (numeric) = 2.0627964523060125351230963978903
absolute error = 9e-31
relative error = 4.3630092488955204383781658346592e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.576
y[1] (analytic) = 2.0635176639893805227026816368849
y[1] (numeric) = 2.0635176639893805227026816368841
absolute error = 8e-31
relative error = 3.8768749788812907325918444259985e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.577
y[1] (analytic) = 2.0642398199438141649760884857987
y[1] (numeric) = 2.0642398199438141649760884857979
absolute error = 8e-31
relative error = 3.8755186886268618021675769988513e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.578
y[1] (analytic) = 2.0649629207048074628851723615128
y[1] (numeric) = 2.0649629207048074628851723615119
absolute error = 9e-31
relative error = 4.3584317712243204643913212336959e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.579
y[1] (analytic) = 2.0656869668070096108825335895213
y[1] (numeric) = 2.0656869668070096108825335895205
absolute error = 8e-31
relative error = 3.8728036379906219745594927089772e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.58
y[1] (analytic) = 2.0664119587842244622823675054308
y[1] (numeric) = 2.06641195878422446228236750543
absolute error = 8e-31
relative error = 3.8714448810617646551063528984381e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.581
y[1] (analytic) = 2.0671378971694099954566556244171
y[1] (numeric) = 2.0671378971694099954566556244163
absolute error = 8e-31
relative error = 3.8700853053657546417674320308287e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.582
y[1] (analytic) = 2.0678647824946777808772316824077
y[1] (numeric) = 2.0678647824946777808772316824069
absolute error = 8e-31
relative error = 3.8687249126361047264030969420568e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.583
y[1] (analytic) = 2.0685926152912924490042555068772
y[1] (numeric) = 2.0685926152912924490042555068764
absolute error = 8e-31
relative error = 3.8673637046091195463802037148622e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.584
y[1] (analytic) = 2.0693213960896711590216268287384
y[1] (numeric) = 2.0693213960896711590216268287377
absolute error = 7e-31
relative error = 3.3827514726458976577293976685256e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.585
y[1] (analytic) = 2.0700511254193830684198702998716
y[1] (numeric) = 2.0700511254193830684198702998708
absolute error = 8e-31
relative error = 3.8646388496222458761306123831756e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.586
y[1] (analytic) = 2.0707818038091488034270221333607
y[1] (numeric) = 2.07078180380914880342702213336
absolute error = 7e-31
relative error = 3.3803658053802112985976340695609e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.587
y[1] (analytic) = 2.0715134317868399302880479355087
y[1] (numeric) = 2.0715134317868399302880479355079
absolute error = 8e-31
relative error = 3.8619107543509305932508101400102e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.588
y[1] (analytic) = 2.0722460098794784273933204501668
y[1] (numeric) = 2.0722460098794784273933204501661
absolute error = 7e-31
relative error = 3.3779773089813400762721751254903e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.589
y[1] (analytic) = 2.0729795386132361582566850868594
y[1] (numeric) = 2.0729795386132361582566850868587
absolute error = 7e-31
relative error = 3.3767820036867316038065192391604e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.59
y[1] (analytic) = 2.0737140185134343453436402545917
y[1] (numeric) = 2.073714018513434345343640254591
absolute error = 7e-31
relative error = 3.3755859957092975653221613912903e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.591
y[1] (analytic) = 2.0744494501045430447501586731188
y[1] (numeric) = 2.0744494501045430447501586731182
absolute error = 6e-31
relative error = 2.8923336742178155419809608052598e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.592
y[1] (analytic) = 2.0751858339101806217326749828096
y[1] (numeric) = 2.075185833910180621732674982809
absolute error = 6e-31
relative error = 2.8913073238816719034189470551410e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.593
y[1] (analytic) = 2.075923170453113227089764123074
y[1] (numeric) = 2.0759231704531132270897641230734
absolute error = 6e-31
relative error = 2.8902803752079012307547651650889e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.594
y[1] (analytic) = 2.076661460255254274396034097633
y[1] (numeric) = 2.0766614602552542743960340976324
absolute error = 6e-31
relative error = 2.8892528295211420090850496602595e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.595
y[1] (analytic) = 2.0774007038376639180887558926932
y[1] (numeric) = 2.0774007038376639180887558926926
absolute error = 6e-31
relative error = 2.8882246881480132008048425782221e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.596
y[1] (analytic) = 2.0781409017205485324077524613544
y[1] (numeric) = 2.0781409017205485324077524613538
absolute error = 6e-31
relative error = 2.8871959524171047503541012614099e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=335.7MB, alloc=4.4MB, time=17.22
x[1] = 2.597
y[1] (analytic) = 2.0788820544232601911890678343158
y[1] (numeric) = 2.0788820544232601911890678343152
absolute error = 6e-31
relative error = 2.8861666236589680825955115861941e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.598
y[1] (analytic) = 2.0796241624642961485129365631707
y[1] (numeric) = 2.07962416246429614851293656317
absolute error = 7e-31
relative error = 3.3659928204071243607539772268659e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.599
y[1] (analytic) = 2.0803672263612983202065728482742
y[1] (numeric) = 2.0803672263612983202065728482736
absolute error = 6e-31
relative error = 2.8841061923929661432721717573006e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.6
y[1] (analytic) = 2.0811112466310527662022978483548
y[1] (numeric) = 2.0811112466310527662022978483542
absolute error = 6e-31
relative error = 2.8830750925559255219524373767247e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.601
y[1] (analytic) = 2.081856223789489173751522813696
y[1] (numeric) = 2.0818562237894891737515228136954
absolute error = 6e-31
relative error = 2.8820434050332869377234822085600e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.602
y[1] (analytic) = 2.0826021583516803414951048288647
y[1] (numeric) = 2.0826021583516803414951048288641
absolute error = 6e-31
relative error = 2.8810111311652664779100842719091e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.603
y[1] (analytic) = 2.0833490508318416643905910945857
y[1] (numeric) = 2.0833490508318416643905910945851
absolute error = 6e-31
relative error = 2.8799782722939845728521741999834e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.604
y[1] (analytic) = 2.0840969017433306194968668214762
y[1] (numeric) = 2.0840969017433306194968668214755
absolute error = 7e-31
relative error = 3.3587689680573658615248169525548e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.605
y[1] (analytic) = 2.0848457115986462526167209509484
y[1] (numeric) = 2.0848457115986462526167209509477
absolute error = 7e-31
relative error = 3.3575626057395130320739632094355e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.606
y[1] (analytic) = 2.0855954809094286657978430606736
y[1] (numeric) = 2.0855954809094286657978430606729
absolute error = 7e-31
relative error = 3.3563555656284957215228104794451e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.607
y[1] (analytic) = 2.0863462101864585056927639535661
y[1] (numeric) = 2.0863462101864585056927639535654
absolute error = 7e-31
relative error = 3.3551478492988966321373080965997e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.608
y[1] (analytic) = 2.0870978999396564527782515703046
y[1] (numeric) = 2.087097899939656452778251570304
absolute error = 6e-31
relative error = 2.8748052499949695442443795972978e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.609
y[1] (analytic) = 2.0878505506780827114346730059535
y[1] (numeric) = 2.0878505506780827114346730059529
absolute error = 6e-31
relative error = 2.8737689093940880902042503042947e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.61
y[1] (analytic) = 2.0886041629099365008858325512774
y[1] (numeric) = 2.0886041629099365008858325512768
absolute error = 6e-31
relative error = 2.8727319932373075018754373389083e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.611
y[1] (analytic) = 2.0893587371425555469997948188707
y[1] (numeric) = 2.0893587371425555469997948188701
absolute error = 6e-31
relative error = 2.8716945028816389510832979088325e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.612
y[1] (analytic) = 2.0901142738824155749512011532354
y[1] (numeric) = 2.0901142738824155749512011532349
absolute error = 5e-31
relative error = 2.3922136997382598959647041815903e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.613
y[1] (analytic) = 2.090870773635129802745586662449
y[1] (numeric) = 2.0908707736351298027455866624484
absolute error = 6e-31
relative error = 2.8696178050107643881386302416647e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.614
y[1] (analytic) = 2.091628236905448435606204347062
y[1] (numeric) = 2.0916282369054484356062043470614
absolute error = 6e-31
relative error = 2.8685786002186336874535301752904e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.615
y[1] (analytic) = 2.0923866641972581612238619393616
y[1] (numeric) = 2.092386664197258161223861939361
absolute error = 6e-31
relative error = 2.8675388266737464561723598445480e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.616
y[1] (analytic) = 2.0931460560135816458702762031193
y[1] (numeric) = 2.0931460560135816458702762031187
absolute error = 6e-31
relative error = 2.8664984857421092609501912808934e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.617
y[1] (analytic) = 2.0939064128565770313754485804283
y[1] (numeric) = 2.0939064128565770313754485804277
absolute error = 6e-31
relative error = 2.8654575787914989457640083317931e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.618
y[1] (analytic) = 2.0946677352275374329695652082127
y[1] (numeric) = 2.0946677352275374329695652082121
absolute error = 6e-31
relative error = 2.8644161071914530215518796100378e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.619
y[1] (analytic) = 2.0954300236268904379899234624661
y[1] (numeric) = 2.0954300236268904379899234624655
absolute error = 6e-31
relative error = 2.8633740723132600518621802858427e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.62
y[1] (analytic) = 2.0961932785541976054533863232516
y[1] (numeric) = 2.0961932785541976054533863232511
absolute error = 5e-31
relative error = 2.3852762296082916955171168307322e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.621
y[1] (analytic) = 2.0969575005081539664948649879679
y[1] (numeric) = 2.0969575005081539664948649879674
absolute error = 5e-31
relative error = 2.3844069318469039834351170819424e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.622
y[1] (analytic) = 2.0977226899865875256723292943553
y[1] (numeric) = 2.0977226899865875256723292943548
absolute error = 5e-31
relative error = 2.3835371681239569044641031682638e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.623
y[1] (analytic) = 2.0984888474864587631388446481919
y[1] (numeric) = 2.0984888474864587631388446481914
absolute error = 5e-31
relative error = 2.3826669395879475873126862198575e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.624
y[1] (analytic) = 2.0992559735038601376821332836003
y[1] (numeric) = 2.0992559735038601376821332835998
absolute error = 5e-31
relative error = 2.3817962473887922646677136510221e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=339.5MB, alloc=4.4MB, time=17.42
x[1] = 2.625
y[1] (analytic) = 2.1000240685340155906321568163618
y[1] (numeric) = 2.1000240685340155906321568163613
absolute error = 5e-31
relative error = 2.3809250926778182431682169579680e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.626
y[1] (analytic) = 2.1007931330712800506372161826155
y[1] (numeric) = 2.100793133071280050637216182615
absolute error = 5e-31
relative error = 2.3800534766077558706814931027125e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.627
y[1] (analytic) = 2.1015631676091389393090641868001
y[1] (numeric) = 2.1015631676091389393090641867995
absolute error = 6e-31
relative error = 2.8550176803992766011648318145016e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.628
y[1] (analytic) = 2.1023341726402076777375250136844
y[1] (numeric) = 2.1023341726402076777375250136838
absolute error = 6e-31
relative error = 2.8539706380099053470118811639363e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.629
y[1] (analytic) = 2.1031061486562311938751141898274
y[1] (numeric) = 2.1031061486562311938751141898268
absolute error = 6e-31
relative error = 2.8529230461494627818431495271303e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.63
y[1] (analytic) = 2.1038790961480834307921516098051
y[1] (numeric) = 2.1038790961480834307921516098045
absolute error = 6e-31
relative error = 2.8518749062078634673114761471414e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.631
y[1] (analytic) = 2.1046530156057668558028593720512
y[1] (numeric) = 2.1046530156057668558028593720506
absolute error = 6e-31
relative error = 2.8508262195766573733897396303270e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.632
y[1] (analytic) = 2.1054279075184119704629352981726
y[1] (numeric) = 2.105427907518411970462935298172
absolute error = 6e-31
relative error = 2.8497769876490202219272395151539e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.633
y[1] (analytic) = 2.1062037723742768214390921381254
y[1] (numeric) = 2.1062037723742768214390921381248
absolute error = 6e-31
relative error = 2.8487272118197438277178524266518e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.634
y[1] (analytic) = 2.1069806106607465122510515916713
y[1] (numeric) = 2.1069806106607465122510515916707
absolute error = 6e-31
relative error = 2.8476768934852264371866845473360e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.635
y[1] (analytic) = 2.1077584228643327158864814040798
y[1] (numeric) = 2.1077584228643327158864814040792
absolute error = 6e-31
relative error = 2.8466260340434630648018590138261e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.636
y[1] (analytic) = 2.1085372094706731882893629210985
y[1] (numeric) = 2.1085372094706731882893629210979
absolute error = 6e-31
relative error = 2.8455746348940358273179917719978e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.637
y[1] (analytic) = 2.1093169709645312827222756147836
y[1] (numeric) = 2.109316970964531282722275614783
absolute error = 6e-31
relative error = 2.8445226974381042759578223973625e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.638
y[1] (analytic) = 2.110097707829795465003084217865
y[1] (numeric) = 2.1100977078297954650030842178644
absolute error = 6e-31
relative error = 2.8434702230783957266383774165674e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.639
y[1] (analytic) = 2.110879420549478829616513229919
y[1] (numeric) = 2.1108794205494788296165132299185
absolute error = 5e-31
relative error = 2.3686810110159963236232939629862e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.64
y[1] (analytic) = 2.111662109605718616701092683734
y[1] (numeric) = 2.1116621096057186167010926837335
absolute error = 5e-31
relative error = 2.3678030577219480748167575795651e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.641
y[1] (analytic) = 2.112445775479775729911958184882
y[1] (numeric) = 2.1124457754797757299119581848815
absolute error = 5e-31
relative error = 2.3669246605226621702756492857539e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.642
y[1] (analytic) = 2.1132304186520342551599873616572
y[1] (numeric) = 2.1132304186520342551599873616567
absolute error = 5e-31
relative error = 2.3660458205922233113037409373614e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.643
y[1] (analytic) = 2.1140160396020009802277539862042
y[1] (numeric) = 2.1140160396020009802277539862038
absolute error = 4e-31
relative error = 1.8921332312847858861703988006407e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.644
y[1] (analytic) = 2.1148026388083049152627801508421
y[1] (numeric) = 2.1148026388083049152627801508417
absolute error = 4e-31
relative error = 1.8914294537924386094069059720011e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.645
y[1] (analytic) = 2.1155902167486968141485660062914
y[1] (numeric) = 2.115590216748696814148566006291
absolute error = 4e-31
relative error = 1.8907253249390240008503331421030e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.646
y[1] (analytic) = 2.1163787739000486967538756907357
y[1] (numeric) = 2.1163787739000486967538756907353
absolute error = 4e-31
relative error = 1.8900208456678228084926166765728e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.647
y[1] (analytic) = 2.1171683107383533720607572003912
y[1] (numeric) = 2.1171683107383533720607572003908
absolute error = 4e-31
relative error = 1.8893160169231028911520163287219e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.648
y[1] (analytic) = 2.1179588277387239621717730735249
y[1] (numeric) = 2.1179588277387239621717730735244
absolute error = 5e-31
relative error = 2.3607635495626409535091434036014e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.649
y[1] (analytic) = 2.1187503253753934271969178806504
y[1] (numeric) = 2.11875032537539342719691788065
absolute error = 4e-31
relative error = 1.8879053147950751364041917625970e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.65
y[1] (analytic) = 2.1195428041217140910206976339462
y[1] (numeric) = 2.1195428041217140910206976339458
absolute error = 4e-31
relative error = 1.8871994433051804672038807103904e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.651
y[1] (analytic) = 2.1203362644501571679498453487745
y[1] (numeric) = 2.1203362644501571679498453487741
absolute error = 4e-31
relative error = 1.8864932261285804957441368412928e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.652
y[1] (analytic) = 2.1211307068323122902421461095487
y[1] (numeric) = 2.1211307068323122902421461095483
absolute error = 4e-31
relative error = 1.8857866642143817904824724822266e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=343.3MB, alloc=4.4MB, time=17.62
x[1] = 2.653
y[1] (analytic) = 2.1219261317388870365168441110826
y[1] (numeric) = 2.1219261317388870365168441110822
absolute error = 4e-31
relative error = 1.8850797585126392901915339173628e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.654
y[1] (analytic) = 2.1227225396397064610471032649769
y[1] (numeric) = 2.1227225396397064610471032649764
absolute error = 5e-31
relative error = 2.3554656374679373077205200871722e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.655
y[1] (analytic) = 2.1235199310037126239349920785412
y[1] (numeric) = 2.1235199310037126239349920785408
absolute error = 4e-31
relative error = 1.8836649195514457643836300655684e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.656
y[1] (analytic) = 2.12431830629896412216946263123
y[1] (numeric) = 2.1243183062989641221694626312296
absolute error = 4e-31
relative error = 1.8829569881967883474713567538054e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.657
y[1] (analytic) = 2.1251176659926356215677925905716
y[1] (numeric) = 2.1251176659926356215677925905712
absolute error = 4e-31
relative error = 1.8822487168641614369105359934880e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.658
y[1] (analytic) = 2.1259180105510173896009583261118
y[1] (numeric) = 2.1259180105510173896009583261115
absolute error = 3e-31
relative error = 1.4111550798811987163896927795514e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.659
y[1] (analytic) = 2.1267193404395148291034062959586
y[1] (numeric) = 2.1267193404395148291034062959582
absolute error = 4e-31
relative error = 1.8808311580847084481688296564356e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.66
y[1] (analytic) = 2.1275216561226480128676889961174
y[1] (numeric) = 2.127521656122648012867688996117
absolute error = 4e-31
relative error = 1.8801218725500046277238286789254e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.661
y[1] (analytic) = 2.128324958064051219124430877944
y[1] (numeric) = 2.1283249580640512191244308779436
absolute error = 4e-31
relative error = 1.8794122508615629146303166072628e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.662
y[1] (analytic) = 2.1291292467264724679080887537083
y[1] (numeric) = 2.1291292467264724679080887537079
absolute error = 4e-31
relative error = 1.8787022939776829818763595042390e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.663
y[1] (analytic) = 2.1299345225717730583089703244712
y[1] (numeric) = 2.1299345225717730583089703244708
absolute error = 4e-31
relative error = 1.8779920028575482984008609221291e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.664
y[1] (analytic) = 2.1307407860609271066119735782175
y[1] (numeric) = 2.1307407860609271066119735782171
absolute error = 4e-31
relative error = 1.8772813784612196733506468625764e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.665
y[1] (analytic) = 2.131548037654021085322508919466
y[1] (numeric) = 2.1315480376540210853225089194656
absolute error = 4e-31
relative error = 1.8765704217496288009216418490941e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.666
y[1] (analytic) = 2.1323562778102533630800650043973
y[1] (numeric) = 2.1323562778102533630800650043969
absolute error = 4e-31
relative error = 1.8758591336845718058528820806925e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.667
y[1] (analytic) = 2.1331655069879337454598783678947
y[1] (numeric) = 2.1331655069879337454598783678944
absolute error = 3e-31
relative error = 1.4063606364215270922315122542601e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.668
y[1] (analytic) = 2.1339757256444830166631660407902
y[1] (numeric) = 2.1339757256444830166631660407899
absolute error = 3e-31
relative error = 1.4058266755091455331631366335104e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.669
y[1] (analytic) = 2.1347869342364324820963794670445
y[1] (numeric) = 2.1347869342364324820963794670442
absolute error = 3e-31
relative error = 1.4052924682495471998520354542470e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.67
y[1] (analytic) = 2.1355991332194235118399371415703
y[1] (numeric) = 2.13559913321942351183993714157
absolute error = 3e-31
relative error = 1.4047580153666240802800302317143e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.671
y[1] (analytic) = 2.1364123230482070850068924999262
y[1] (numeric) = 2.1364123230482070850068924999259
absolute error = 3e-31
relative error = 1.4042233175848922900827718608620e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.672
y[1] (analytic) = 2.1372265041766433349919927011773
y[1] (numeric) = 2.1372265041766433349919927011771
absolute error = 2e-31
relative error = 9.3579225041965815712446807732020e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.673
y[1] (analytic) = 2.1380416770577010956115830548245
y[1] (numeric) = 2.1380416770577010956115830548243
absolute error = 2e-31
relative error = 9.3543546015077251886300581420122e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.674
y[1] (analytic) = 2.1388578421434574481348109518606
y[1] (numeric) = 2.1388578421434574481348109518603
absolute error = 3e-31
relative error = 1.4026177621012663987700370828380e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.675
y[1] (analytic) = 2.1396749998850972692065822687116
y[1] (numeric) = 2.1396749998850972692065822687114
absolute error = 2e-31
relative error = 9.3472139465451624231569553853035e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.676
y[1] (analytic) = 2.14049315073291277966272232107
y[1] (numeric) = 2.1404931507329127796627223210698
absolute error = 2e-31
relative error = 9.3436412039683126073206254330170e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.677
y[1] (analytic) = 2.1413122951363030942377925524191
y[1] (numeric) = 2.1413122951363030942377925524189
absolute error = 2e-31
relative error = 9.3400668577989554703855777382239e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.678
y[1] (analytic) = 2.1421324335437737721660132493971
y[1] (numeric) = 2.1421324335437737721660132493969
absolute error = 2e-31
relative error = 9.3364909128954218665252578320362e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.679
y[1] (analytic) = 2.1429535664029363686757416830387
y[1] (numeric) = 2.1429535664029363686757416830385
absolute error = 2e-31
relative error = 9.3329133741199457122846707949866e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.68
y[1] (analytic) = 2.1437756941605079873779541813793
y[1] (numeric) = 2.1437756941605079873779541813792
absolute error = 1e-31
relative error = 4.6646671231693158977815995338622e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.681
y[1] (analytic) = 2.1445988172623108335491797449032
y[1] (numeric) = 2.1445988172623108335491797449031
absolute error = 1e-31
relative error = 4.6628767672107117964785549112848e-30 %
memory used=347.1MB, alloc=4.4MB, time=17.83
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.682
y[1] (analytic) = 2.1454229361532717683093319218634
y[1] (numeric) = 2.1454229361532717683093319218632
absolute error = 2e-31
relative error = 9.3221712432420710957971620028181e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.683
y[1] (analytic) = 2.1462480512774218636948847656052
y[1] (numeric) = 2.146248051277421863694884765605
absolute error = 2e-31
relative error = 9.3185873776780986452161548655202e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.684
y[1] (analytic) = 2.1470741630778959586278378006806
y[1] (numeric) = 2.1470741630778959586278378006804
absolute error = 2e-31
relative error = 9.3150019426107727765806860489260e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.685
y[1] (analytic) = 2.1479012719969322157809140287506
y[1] (numeric) = 2.1479012719969322157809140287504
absolute error = 2e-31
relative error = 9.3114149429250700736208078513804e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.686
y[1] (analytic) = 2.1487293784758716793394341090411
y[1] (numeric) = 2.148729378475871679339434109041
absolute error = 1e-31
relative error = 4.6539131917548225162953427888701e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.687
y[1] (analytic) = 2.1495584829551578336603089514416
y[1] (numeric) = 2.1495584829551578336603089514415
absolute error = 1e-31
relative error = 4.6521181346283989683963857530572e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.688
y[1] (analytic) = 2.1503885858743361628285920632166
y[1] (numeric) = 2.1503885858743361628285920632164
absolute error = 2e-31
relative error = 9.3006446050624427417974122757162e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.689
y[1] (analytic) = 2.151219687672053711112032092741
y[1] (numeric) = 2.1512196876720537111120320927408
absolute error = 2e-31
relative error = 9.2970513958260749716892063197807e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.69
y[1] (analytic) = 2.1520517887860586443140651156711
y[1] (numeric) = 2.1520517887860586443140651156709
absolute error = 2e-31
relative error = 9.2934566464507396266708213899219e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.691
y[1] (analytic) = 2.1528848896531998120256853105208
y[1] (numeric) = 2.1528848896531998120256853105206
absolute error = 2e-31
relative error = 9.2898603618429991023543702641210e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.692
y[1] (analytic) = 2.1537189907094263107766317717369
y[1] (numeric) = 2.1537189907094263107766317717367
absolute error = 2e-31
relative error = 9.2862625469129011210698254240037e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.693
y[1] (analytic) = 2.1545540923897870480863283090505
y[1] (numeric) = 2.1545540923897870480863283090503
absolute error = 2e-31
relative error = 9.2826632065739466755193308525814e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.694
y[1] (analytic) = 2.1553901951284303074150121821273
y[1] (numeric) = 2.1553901951284303074150121821271
absolute error = 2e-31
relative error = 9.2790623457430579851056411656600e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.695
y[1] (analytic) = 2.1562272993586033140154868193531
y[1] (numeric) = 2.1562272993586033140154868193529
absolute error = 2e-31
relative error = 9.2754599693405464652622850732324e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.696
y[1] (analytic) = 2.1570654055126518016859326689641
y[1] (numeric) = 2.1570654055126518016859326689639
absolute error = 2e-31
relative error = 9.2718560822900807101124116960882e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.697
y[1] (analytic) = 2.157904514022019580424209429677
y[1] (numeric) = 2.1579045140220195804242094296768
absolute error = 2e-31
relative error = 9.2682506895186544887826345623408e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.698
y[1] (analytic) = 2.1587446253172481049840820064784
y[1] (numeric) = 2.1587446253172481049840820064782
absolute error = 2e-31
relative error = 9.2646437959565547556975392035314e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.699
y[1] (analytic) = 2.1595857398279760443338016353137
y[1] (numeric) = 2.1595857398279760443338016353135
absolute error = 2e-31
relative error = 9.2610354065373296751798661853548e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.7
y[1] (analytic) = 2.1604278579829388520174727180567
y[1] (numeric) = 2.1604278579829388520174727180565
absolute error = 2e-31
relative error = 9.2574255261977566606807221690185e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.701
y[1] (analytic) = 2.1612709802099683374196350063587
y[1] (numeric) = 2.1612709802099683374196350063585
absolute error = 2e-31
relative error = 9.2538141598778104289635072309196e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.702
y[1] (analytic) = 2.1621151069359922379334898697584
y[1] (numeric) = 2.1621151069359922379334898697582
absolute error = 2e-31
relative error = 9.2502013125206310695645771960499e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.703
y[1] (analytic) = 2.1629602385870337920331984797905
y[1] (numeric) = 2.1629602385870337920331984797903
absolute error = 2e-31
relative error = 9.2465869890724921298529851896586e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.704
y[1] (analytic) = 2.1638063755882113132506788377603
y[1] (numeric) = 2.1638063755882113132506788377601
absolute error = 2e-31
relative error = 9.2429711944827687160109670077088e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.705
y[1] (analytic) = 2.1646535183637377650573276693503
y[1] (numeric) = 2.16465351836373776505732766935
absolute error = 3e-31
relative error = 1.3859030900555858415384225412720e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.706
y[1] (analytic) = 2.1655016673369203366510923043026
y[1] (numeric) = 2.1655016673369203366510923043023
absolute error = 3e-31
relative error = 1.3853602817537078106938666591379e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.707
y[1] (analytic) = 2.1663508229301600196493167540697
y[1] (numeric) = 2.1663508229301600196493167540694
absolute error = 3e-31
relative error = 1.3848172550105544977463810513755e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.708
y[1] (analytic) = 2.1672009855649511856877852945519
y[1] (numeric) = 2.1672009855649511856877852945516
absolute error = 3e-31
relative error = 1.3842740105703453048271374729363e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.709
y[1] (analytic) = 2.1680521556618811649263859548427
y[1] (numeric) = 2.1680521556618811649263859548424
absolute error = 3e-31
relative error = 1.3837305491777409811278313138530e-29 %
Correct digits = 30
h = 0.001
memory used=350.9MB, alloc=4.4MB, time=18.04
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.71
y[1] (analytic) = 2.1689043336406298254618154062839
y[1] (numeric) = 2.1689043336406298254618154062836
absolute error = 3e-31
relative error = 1.3831868715778388533838641256540e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.711
y[1] (analytic) = 2.16975751991996915364774583909
y[1] (numeric) = 2.1697575199199691536477458390897
absolute error = 3e-31
relative error = 1.3826429785161680590804683542158e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.712
y[1] (analytic) = 2.1706117149177628353228735063404
y[1] (numeric) = 2.1706117149177628353228735063401
absolute error = 3e-31
relative error = 1.3820988707386847824291816207355e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.713
y[1] (analytic) = 2.1714669190509658379472677072559
y[1] (numeric) = 2.1714669190509658379472677072556
absolute error = 3e-31
relative error = 1.3815545489917674931619693044604e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.714
y[1] (analytic) = 2.1723231327356239936474380733755
y[1] (numeric) = 2.1723231327356239936474380733752
absolute error = 3e-31
relative error = 1.3810100140222121881901848737665e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.715
y[1] (analytic) = 2.1731803563868735831705371125316
y[1] (numeric) = 2.1731803563868735831705371125312
absolute error = 4e-31
relative error = 1.8406203554363035149005965201316e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.716
y[1] (analytic) = 2.1740385904189409207481140563862
y[1] (numeric) = 2.1740385904189409207481140563858
absolute error = 4e-31
relative error = 1.8398937432059075000792065015426e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.717
y[1] (analytic) = 2.1748978352451419398698351477405
y[1] (numeric) = 2.1748978352451419398698351477401
absolute error = 4e-31
relative error = 1.8391668496691216167989877326949e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.718
y[1] (analytic) = 2.1757580912778817799675845938615
y[1] (numeric) = 2.1757580912778817799675845938611
absolute error = 4e-31
relative error = 1.8384396758238373066075583728864e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.719
y[1] (analytic) = 2.176619358928654374010359501692
y[1] (numeric) = 2.1766193589286543740103595016915
absolute error = 5e-31
relative error = 2.2971402783355888139667463067027e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.72
y[1] (analytic) = 2.1774816386080420370103712000129
y[1] (numeric) = 2.1774816386080420370103712000125
absolute error = 4e-31
relative error = 1.8369844912019580520628487219676e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.721
y[1] (analytic) = 2.1783449307257150554407644424244
y[1] (numeric) = 2.178344930725715055440764442424
absolute error = 4e-31
relative error = 1.8362564824237459147731888978348e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.722
y[1] (analytic) = 2.1792092356904312775653650733898
y[1] (numeric) = 2.1792092356904312775653650733894
absolute error = 4e-31
relative error = 1.8355281973337883370834655026529e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.723
y[1] (analytic) = 2.1800745539100357046808658275633
y[1] (numeric) = 2.1800745539100357046808658275629
absolute error = 4e-31
relative error = 1.8347996369325388017846838643401e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.724
y[1] (analytic) = 2.1809408857914600832718590201791
y[1] (numeric) = 2.1809408857914600832718590201787
absolute error = 4e-31
relative error = 1.8340708022209442738507450051535e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.725
y[1] (analytic) = 2.1818082317407224980791239734369
y[1] (numeric) = 2.1818082317407224980791239734365
absolute error = 4e-31
relative error = 1.8333416942004389021113916148843e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.726
y[1] (analytic) = 2.1826765921629269660815761105621
y[1] (numeric) = 2.1826765921629269660815761105617
absolute error = 4e-31
relative error = 1.8326123138729377254882592162537e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.727
y[1] (analytic) = 2.1835459674622630313922837355569
y[1] (numeric) = 2.1835459674622630313922837355565
absolute error = 4e-31
relative error = 1.8318826622408303838549723194156e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.728
y[1] (analytic) = 2.1844163580420053610689576025934
y[1] (numeric) = 2.184416358042005361068957602593
absolute error = 4e-31
relative error = 1.8311527403069748335820667610765e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.729
y[1] (analytic) = 2.1852877643045133418393174645235
y[1] (numeric) = 2.1852877643045133418393174645231
absolute error = 4e-31
relative error = 1.8304225490746910678273599446636e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.73
y[1] (analytic) = 2.1861601866512306777417388751072
y[1] (numeric) = 2.1861601866512306777417388751068
absolute error = 4e-31
relative error = 1.8296920895477548416322303467108e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.731
y[1] (analytic) = 2.1870336254826849886815826042779
y[1] (numeric) = 2.1870336254826849886815826042775
absolute error = 4e-31
relative error = 1.8289613627303914018841064367325e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.732
y[1] (analytic) = 2.1879080811984874099036081100822
y[1] (numeric) = 2.1879080811984874099036081100817
absolute error = 5e-31
relative error = 2.2852879620340865277566288485483e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.733
y[1] (analytic) = 2.188783554197332192380871594847
y[1] (numeric) = 2.1887835541973321923808715948465
absolute error = 5e-31
relative error = 2.2843738890543671785352256859729e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.734
y[1] (analytic) = 2.1896600448769963041205082566434
y[1] (numeric) = 2.189660044876996304120508256643
absolute error = 4e-31
relative error = 1.8267675885846011155164375155328e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.735
y[1] (analytic) = 2.1905375536343390323867974302313
y[1] (numeric) = 2.1905375536343390323867974302308
absolute error = 5e-31
relative error = 2.2825447533206899419902308845072e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.736
y[1] (analytic) = 2.1914160808653015868419083943854
y[1] (numeric) = 2.1914160808653015868419083943849
absolute error = 5e-31
relative error = 2.2816296930821563589103506454375e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.737
y[1] (analytic) = 2.1922956269649067036047237048264
y[1] (numeric) = 2.192295626964906703604723704826
absolute error = 4e-31
relative error = 1.8245714450189113233652434876363e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=354.7MB, alloc=4.4MB, time=18.24
TOP MAIN SOLVE Loop
x[1] = 2.738
y[1] (analytic) = 2.1931761923272582502281359938986
y[1] (numeric) = 2.1931761923272582502281359938982
absolute error = 4e-31
relative error = 1.8238388753233072124118895245243e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.739
y[1] (analytic) = 2.1940577773455408315952132596647
y[1] (numeric) = 2.1940577773455408315952132596643
absolute error = 4e-31
relative error = 1.8231060463865088182886736729520e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.74
y[1] (analytic) = 2.1949403824120193967346267482207
y[1] (numeric) = 2.1949403824120193967346267482204
absolute error = 3e-31
relative error = 1.3667797194123791215294106965947e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.741
y[1] (analytic) = 2.1958240079180388465557346137696
y[1] (numeric) = 2.1958240079180388465557346137693
absolute error = 3e-31
relative error = 1.3662297111162552527264806951889e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.742
y[1] (analytic) = 2.1967086542540236425037136213368
y[1] (numeric) = 2.1967086542540236425037136213365
absolute error = 3e-31
relative error = 1.3656795106580779720504282425979e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.743
y[1] (analytic) = 2.1975943218094774161351302369641
y[1] (numeric) = 2.1975943218094774161351302369638
absolute error = 3e-31
relative error = 1.3651291187946962337582606252481e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.744
y[1] (analytic) = 2.1984810109729825796143415297785
y[1] (numeric) = 2.1984810109729825796143415297782
absolute error = 3e-31
relative error = 1.3645785362832353305980001838122e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.745
y[1] (analytic) = 2.1993687221321999371311153895012
y[1] (numeric) = 2.1993687221321999371311153895009
absolute error = 3e-31
relative error = 1.3640277638810922470551637216092e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.746
y[1] (analytic) = 2.2002574556738682972398586417461
y[1] (numeric) = 2.2002574556738682972398586417458
absolute error = 3e-31
relative error = 1.3634768023459310169123368187341e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.747
y[1] (analytic) = 2.2011472119838040861208407218455
y[1] (numeric) = 2.2011472119838040861208407218453
absolute error = 2e-31
relative error = 9.0861710162378539011003237801220e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.748
y[1] (analytic) = 2.202037991446900961763799645949
y[1] (numeric) = 2.2020379914469009617637996459488
absolute error = 2e-31
relative error = 9.0824954327234511622468061371916e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.749
y[1] (analytic) = 2.2029297944471294290743160957554
y[1] (numeric) = 2.2029297944471294290743160957552
absolute error = 2e-31
relative error = 9.0788186034859143682515664166001e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.75
y[1] (analytic) = 2.2038226213675364559033405104733
y[1] (numeric) = 2.2038226213675364559033405104731
absolute error = 2e-31
relative error = 9.0751405335831494813674928285706e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.751
y[1] (analytic) = 2.2047164725902450900002571564501
y[1] (numeric) = 2.2047164725902450900002571564499
absolute error = 2e-31
relative error = 9.0714612280746884858404651059306e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.752
y[1] (analytic) = 2.2056113484964540768898682213742
y[1] (numeric) = 2.205611348496454076889868221374
absolute error = 2e-31
relative error = 9.0677806920216586168483102233134e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.753
y[1] (analytic) = 2.2065072494664374786736800560336
y[1] (numeric) = 2.2065072494664374786736800560335
absolute error = 1e-31
relative error = 4.5320494652433758100957318872785e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.754
y[1] (analytic) = 2.2074041758795442937558727623141
y[1] (numeric) = 2.2074041758795442937558727623139
absolute error = 2e-31
relative error = 9.0604159485341930430171661530543e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.755
y[1] (analytic) = 2.208302128114198077494333401434
y[1] (numeric) = 2.2083021281141980774943334014338
absolute error = 2e-31
relative error = 9.0567317512297115558581210327012e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.756
y[1] (analytic) = 2.2092011065478965637771321713529
y[1] (numeric) = 2.2092011065478965637771321713527
absolute error = 2e-31
relative error = 9.0530463436405083062656383755370e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.757
y[1] (analytic) = 2.2101011115572112875248199768446
y[1] (numeric) = 2.2101011115572112875248199768445
absolute error = 1e-31
relative error = 4.5246798654176131521581876625825e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.758
y[1] (analytic) = 2.2110021435177872081189248899068
y[1] (numeric) = 2.2110021435177872081189248899066
absolute error = 2e-31
relative error = 9.0456719178839198402708759115133e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.759
y[1] (analytic) = 2.2119042028043423337570240719778
y[1] (numeric) = 2.2119042028043423337570240719776
absolute error = 2e-31
relative error = 9.0419829098580239346611945215023e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.76
y[1] (analytic) = 2.2128072897906673467347668028599
y[1] (numeric) = 2.2128072897906673467347668028597
absolute error = 2e-31
relative error = 9.0382927118303238210839686107340e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.761
y[1] (analytic) = 2.213711404849625229655223334292
y[1] (numeric) = 2.2137114048496252296552233342918
absolute error = 2e-31
relative error = 9.0346013288749244619743831725470e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.762
y[1] (analytic) = 2.2146165483531508925659333587936
y[1] (numeric) = 2.2146165483531508925659333587935
absolute error = 1e-31
relative error = 4.5154543830336100488177715358652e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.763
y[1] (analytic) = 2.2155227206722508010240269567004
y[1] (numeric) = 2.2155227206722508010240269567002
absolute error = 2e-31
relative error = 9.0272150284838638287968395200668e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.764
y[1] (analytic) = 2.2164299221770026050897899562378
y[1] (numeric) = 2.2164299221770026050897899562377
absolute error = 1e-31
relative error = 4.5117600606013686164869818744126e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.765
y[1] (analytic) = 2.2173381532365547692490447130392
y[1] (numeric) = 2.217338153236554769249044713039
absolute error = 2e-31
relative error = 9.0198240493029200149022843485193e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=358.5MB, alloc=4.4MB, time=18.45
TOP MAIN SOLVE Loop
x[1] = 2.766
y[1] (analytic) = 2.2182474142191262032647163866937
y[1] (numeric) = 2.2182474142191262032647163866935
absolute error = 2e-31
relative error = 9.0161268178646596913143648279974e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.767
y[1] (analytic) = 2.2191577054920058939579538627298
y[1] (numeric) = 2.2191577054920058939579538627296
absolute error = 2e-31
relative error = 9.0124284319693413103314547223707e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.768
y[1] (analytic) = 2.2200690274215525379191735388806
y[1] (numeric) = 2.2200690274215525379191735388804
absolute error = 2e-31
relative error = 9.0087288966994572057378410818229e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.769
y[1] (analytic) = 2.2209813803731941751493932645582
y[1] (numeric) = 2.220981380373194175149393264558
absolute error = 2e-31
relative error = 9.0050282171385767864059974301658e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.77
y[1] (analytic) = 2.2218947647114278236322227921709
y[1] (numeric) = 2.2218947647114278236322227921708
absolute error = 1e-31
relative error = 4.5006631991856581805697571612645e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.771
y[1] (analytic) = 2.2228091807998191148368761682647
y[1] (numeric) = 2.2228091807998191148368761682645
absolute error = 2e-31
relative error = 8.9976234454833089991998394850641e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.772
y[1] (analytic) = 2.2237246290010019301525705614434
y[1] (numeric) = 2.2237246290010019301525705614432
absolute error = 2e-31
relative error = 8.9939193635611744267818962154560e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.773
y[1] (analytic) = 2.2246411096766780382546750926411
y[1] (numeric) = 2.2246411096766780382546750926409
absolute error = 2e-31
relative error = 8.9902141576924889597026862906623e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.774
y[1] (analytic) = 2.225558623187616733402972301566
y[1] (numeric) = 2.2255586231876167334029723015658
absolute error = 2e-31
relative error = 8.9865078329657554725660180971423e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.775
y[1] (analytic) = 2.2264771698936544746723939510245
y[1] (numeric) = 2.2264771698936544746723939510244
absolute error = 1e-31
relative error = 4.4914001972351867023327660491199e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.776
y[1] (analytic) = 2.2273967501536945261165919383605
y[1] (numeric) = 2.2273967501536945261165919383603
absolute error = 2e-31
relative error = 8.9790918472966088028872241128302e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.777
y[1] (analytic) = 2.2283173643257065978647041504071
y[1] (numeric) = 2.2283173643257065978647041504069
absolute error = 2e-31
relative error = 8.9753821965355644018716922282879e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.778
y[1] (analytic) = 2.2292390127667264881516741651577
y[1] (numeric) = 2.2292390127667264881516741651575
absolute error = 2e-31
relative error = 8.9716714472791497416953555387037e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.779
y[1] (analytic) = 2.2301616958328557262824827698042
y[1] (numeric) = 2.2301616958328557262824827698039
absolute error = 3e-31
relative error = 1.3451939406930076984993368473455e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.78
y[1] (analytic) = 2.2310854138792612165306483308824
y[1] (numeric) = 2.2310854138792612165306483308822
absolute error = 2e-31
relative error = 8.9642466736517028021303217129397e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.781
y[1] (analytic) = 2.2320101672601748829713521179954
y[1] (numeric) = 2.2320101672601748829713521179952
absolute error = 2e-31
relative error = 8.9605326594682552196286067089164e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.782
y[1] (analytic) = 2.2329359563288933152495437479578
y[1] (numeric) = 2.2329359563288933152495437479576
absolute error = 2e-31
relative error = 8.9568175671645472738537867277477e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.783
y[1] (analytic) = 2.2338627814377774152833809812275
y[1] (numeric) = 2.2338627814377774152833809812274
absolute error = 1e-31
relative error = 4.4765507009180378142336281436401e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.784
y[1] (analytic) = 2.234790642938252044903357167156
y[1] (numeric) = 2.2347906429382520449033571671559
absolute error = 1e-31
relative error = 4.4746920842894826304729655607253e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.785
y[1] (analytic) = 2.2357195411808056744274686988987
y[1] (numeric) = 2.2357195411808056744274686988986
absolute error = 1e-31
relative error = 4.4728329362449699250362427761892e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.786
y[1] (analytic) = 2.2366494765149900321727739027902
y[1] (numeric) = 2.2366494765149900321727739027901
absolute error = 1e-31
relative error = 4.4709732593331461014915022344997e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.787
y[1] (analytic) = 2.2375804492894197549036938505959
y[1] (numeric) = 2.2375804492894197549036938505958
absolute error = 1e-31
relative error = 4.4691130561029273610111850678215e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.788
y[1] (analytic) = 2.2385124598517720392174046463094
y[1] (numeric) = 2.2385124598517720392174046463093
absolute error = 1e-31
relative error = 4.4672523291034849558283491173478e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.789
y[1] (analytic) = 2.2394455085487862938666698020755
y[1] (numeric) = 2.2394455085487862938666698020753
absolute error = 2e-31
relative error = 8.9307821617684609256911290720075e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.79
y[1] (analytic) = 2.2403795957262637930204603803759
y[1] (numeric) = 2.2403795957262637930204603803757
absolute error = 2e-31
relative error = 8.9270586279896021550402687715752e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.791
y[1] (analytic) = 2.2413147217290673304627096418307
y[1] (numeric) = 2.2413147217290673304627096418305
absolute error = 2e-31
relative error = 8.9233340619700898562975615867823e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.792
y[1] (analytic) = 2.2422508869011208747295479998297
y[1] (numeric) = 2.2422508869011208747295479998296
absolute error = 1e-31
relative error = 4.4598042344050064106744290943700e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.793
y[1] (analytic) = 2.2431880915854092251853631447324
y[1] (numeric) = 2.2431880915854092251853631447322
absolute error = 2e-31
relative error = 8.9158818536098230882744259875168e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=362.4MB, alloc=4.4MB, time=18.66
TOP MAIN SOLVE Loop
x[1] = 2.794
y[1] (analytic) = 2.2441263361239776690380292615451
y[1] (numeric) = 2.244126336123977669038029261545
absolute error = 1e-31
relative error = 4.4560771107351533468913131144617e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.795
y[1] (analytic) = 2.2450656208579316392936483258208
y[1] (numeric) = 2.2450656208579316392936483258206
absolute error = 2e-31
relative error = 8.9084255774925544674174588175030e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.796
y[1] (analytic) = 2.2460059461274363736511455230078
y[1] (numeric) = 2.2460059461274363736511455230077
absolute error = 1e-31
relative error = 4.4523479633889664338905747875578e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.797
y[1] (analytic) = 2.246947312271716574337059896628
y[1] (numeric) = 2.2469473122717165743370598966278
absolute error = 2e-31
relative error = 8.9009652744280548610119259834223e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.798
y[1] (analytic) = 2.2478897196290560688808703904608
y[1] (numeric) = 2.2478897196290560688808703904607
absolute error = 1e-31
relative error = 4.4486168127723754208780482036830e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.799
y[1] (analytic) = 2.2488331685367974718311965093834
y[1] (numeric) = 2.2488331685367974718311965093832
absolute error = 2e-31
relative error = 8.8935009852300395968725143847789e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.8
y[1] (analytic) = 2.2497776593313418474132118826338
y[1] (numeric) = 2.2497776593313418474132118826337
absolute error = 1e-31
relative error = 4.4448836792930496560532369121066e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.801
y[1] (analytic) = 2.2507231923481483731276080720593
y[1] (numeric) = 2.2507231923481483731276080720591
absolute error = 2e-31
relative error = 8.8860327507152386219690429083561e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.802
y[1] (analytic) = 2.2516697679217340042914450263545
y[1] (numeric) = 2.2516697679217340042914450263543
absolute error = 2e-31
relative error = 8.8822971667198677030568041836074e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.803
y[1] (analytic) = 2.252617386385673139521223640414
y[1] (numeric) = 2.2526173863856731395212236404138
absolute error = 2e-31
relative error = 8.8785606117024694110459257569286e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.804
y[1] (analytic) = 2.253566048072597287158514936697
y[1] (numeric) = 2.2535660480725972871585149366968
absolute error = 2e-31
relative error = 8.8748230907655704615934437485150e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.805
y[1] (analytic) = 2.2545157533141947326384794429475
y[1] (numeric) = 2.2545157533141947326384794429473
absolute error = 2e-31
relative error = 8.8710846090117126553775891926006e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.806
y[1] (analytic) = 2.2554665024412102068016093977236
y[1] (numeric) = 2.2554665024412102068016093977234
absolute error = 2e-31
relative error = 8.8673451715434241475079434682575e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.807
y[1] (analytic) = 2.256418295783444555149025471965
y[1] (numeric) = 2.2564182957834445551490254719648
absolute error = 2e-31
relative error = 8.8636047834631907615351551068602e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.808
y[1] (analytic) = 2.2573711336697544080416587512755
y[1] (numeric) = 2.2573711336697544080416587512752
absolute error = 3e-31
relative error = 1.3289795174810141022433346238522e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.809
y[1] (analytic) = 2.2583250164280518518436477797096
y[1] (numeric) = 2.2583250164280518518436477797094
absolute error = 2e-31
relative error = 8.8561211758764491897716915739747e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.81
y[1] (analytic) = 2.2592799443853041010102795216412
y[1] (numeric) = 2.2592799443853041010102795216409
absolute error = 3e-31
relative error = 1.3278566949861665172502740417378e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.811
y[1] (analytic) = 2.2602359178675331711208021537425
y[1] (numeric) = 2.2602359178675331711208021537422
absolute error = 3e-31
relative error = 1.3272950740604160992046332800043e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.812
y[1] (analytic) = 2.2611929371998155528564366542372
y[1] (numeric) = 2.2611929371998155528564366542369
absolute error = 3e-31
relative error = 1.3267333143694929422540502102054e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.813
y[1] (analytic) = 2.2621510027062818869239132113854
y[1] (numeric) = 2.2621510027062818869239132113852
absolute error = 2e-31
relative error = 8.8411427778576122639805094472344e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.814
y[1] (analytic) = 2.2631101147101166399248575276399
y[1] (numeric) = 2.2631101147101166399248575276397
absolute error = 2e-31
relative error = 8.8373958783538086972544051880930e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.815
y[1] (analytic) = 2.264070273533557781171351150058
y[1] (numeric) = 2.2640702735335577811713511500577
absolute error = 3e-31
relative error = 1.3250472103579493225801140936396e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.816
y[1] (analytic) = 2.2650314794978964604479890113832
y[1] (numeric) = 2.2650314794978964604479890113829
absolute error = 3e-31
relative error = 1.3244849032583991097595010226261e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.817
y[1] (analytic) = 2.2659937329234766867207564197121
y[1] (numeric) = 2.2659937329234766867207564197118
absolute error = 3e-31
relative error = 1.3239224612194948790078258422186e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.818
y[1] (analytic) = 2.2669570341296950077930467878422
y[1] (numeric) = 2.266957034129695007793046787842
absolute error = 2e-31
relative error = 8.8223992333750507521414509464347e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.819
y[1] (analytic) = 2.2679213834350001909091404462567
y[1] (numeric) = 2.2679213834350001909091404462564
absolute error = 3e-31
relative error = 1.3227971753836508433211594027844e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.82
y[1] (analytic) = 2.26888678115689290430546393624
y[1] (numeric) = 2.2688867811568929043054639362397
absolute error = 3e-31
relative error = 1.3222343331165764393886439800545e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.821
y[1] (analytic) = 2.26985322761192539970994823184
y[1] (numeric) = 2.2698532276119253997099482318397
absolute error = 3e-31
relative error = 1.3216713589698704009539783259051e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=366.2MB, alloc=4.4MB, time=18.87
x[1] = 2.822
y[1] (analytic) = 2.2708207231157011957898033912902
y[1] (numeric) = 2.2708207231157011957898033912899
absolute error = 3e-31
relative error = 1.3211082537082986604742953477644e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.823
y[1] (analytic) = 2.271789267982874762548026190092
y[1] (numeric) = 2.2717892679828747625480261900917
absolute error = 3e-31
relative error = 1.3205450180965528916306706138275e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.824
y[1] (analytic) = 2.272758862527151206668956339223
y[1] (numeric) = 2.2727588625271512066689563392227
absolute error = 3e-31
relative error = 1.3199816528992463252765786856161e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.825
y[1] (analytic) = 2.2737295070612859578131959428885
y[1] (numeric) = 2.2737295070612859578131959428882
absolute error = 3e-31
relative error = 1.3194181588809095726692611875548e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.826
y[1] (analytic) = 2.2747012018970844558622059008711
y[1] (numeric) = 2.2747012018970844558622059008708
absolute error = 3e-31
relative error = 1.3188545368059864560154158178348e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.827
y[1] (analytic) = 2.2756739473454018391128920108556
y[1] (numeric) = 2.2756739473454018391128920108553
absolute error = 3e-31
relative error = 1.3182907874388298463624523681256e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.828
y[1] (analytic) = 2.2766477437161426334224925761172
y[1] (numeric) = 2.2766477437161426334224925761168
absolute error = 4e-31
relative error = 1.7569692153915966784885312750044e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.829
y[1] (analytic) = 2.2776225913182604423040783736592
y[1] (numeric) = 2.2776225913182604423040783736588
absolute error = 4e-31
relative error = 1.7562172131796639406231654535208e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.83
y[1] (analytic) = 2.2785984904597576379729748872755
y[1] (numeric) = 2.2785984904597576379729748872751
absolute error = 4e-31
relative error = 1.7554650443013817400045205032087e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.831
y[1] (analytic) = 2.2795754414476850533444157590882
y[1] (numeric) = 2.2795754414476850533444157590879
absolute error = 3e-31
relative error = 1.3160345323315101507930636773924e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.832
y[1] (analytic) = 2.2805534445881416749827354618829
y[1] (numeric) = 2.2805534445881416749827354618825
absolute error = 4e-31
relative error = 1.7539602106200072476235630204256e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.833
y[1] (analytic) = 2.2815325001862743370024082430216
y[1] (numeric) = 2.2815325001862743370024082430213
absolute error = 3e-31
relative error = 1.3149056608902423348328181461048e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.834
y[1] (analytic) = 2.2825126085462774159212394388713
y[1] (numeric) = 2.282512608546277415921239438871
absolute error = 3e-31
relative error = 1.3143410418708211455397920223837e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.835
y[1] (analytic) = 2.2834937699713925264660143065286
y[1] (numeric) = 2.2834937699713925264660143065283
absolute error = 3e-31
relative error = 1.3137763016702181853465745917735e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.836
y[1] (analytic) = 2.2844759847639082183309085671682
y[1] (numeric) = 2.2844759847639082183309085671679
absolute error = 3e-31
relative error = 1.3132114410517816972482423267106e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.837
y[1] (analytic) = 2.2854592532251596738889639025791
y[1] (numeric) = 2.2854592532251596738889639025788
absolute error = 3e-31
relative error = 1.3126464607787277627563806805272e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.838
y[1] (analytic) = 2.2864435756555284068569306933871
y[1] (numeric) = 2.2864435756555284068569306933868
absolute error = 3e-31
relative error = 1.3120813616141362226069422701320e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.839
y[1] (analytic) = 2.2874289523544419619137793340964
y[1] (numeric) = 2.2874289523544419619137793340961
absolute error = 3e-31
relative error = 1.3115161443209466051758220129719e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.84
y[1] (analytic) = 2.2884153836203736152731805064138
y[1] (numeric) = 2.2884153836203736152731805064134
absolute error = 4e-31
relative error = 1.7479344128826054168416739308582e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.841
y[1] (analytic) = 2.28940286975084207621025383835
y[1] (numeric) = 2.2894028697508420762102538383496
absolute error = 4e-31
relative error = 1.7471804778664070864693074038306e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.842
y[1] (analytic) = 2.2903914110424111895428834223254
y[1] (numeric) = 2.290391411042411189542883422325
absolute error = 4e-31
relative error = 1.7464263883959928015199163737522e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.843
y[1] (analytic) = 2.2913810077906896390678977109384
y[1] (numeric) = 2.291381007790689639067897710938
absolute error = 4e-31
relative error = 1.7456721454878128530081503960148e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.844
y[1] (analytic) = 2.2923716602903306519524103541935
y[1] (numeric) = 2.2923716602903306519524103541931
absolute error = 4e-31
relative error = 1.7449177501581034604106319901665e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.845
y[1] (analytic) = 2.2933633688350317040806175868221
y[1] (numeric) = 2.2933633688350317040806175868217
absolute error = 4e-31
relative error = 1.7441632034228814053556830332227e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.846
y[1] (analytic) = 2.2943561337175342263563468188754
y[1] (numeric) = 2.294356133717534226356346818875
absolute error = 4e-31
relative error = 1.7434085062979386758570119382612e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.847
y[1] (analytic) = 2.2953499552296233119616501270152
y[1] (numeric) = 2.2953499552296233119616501270148
absolute error = 4e-31
relative error = 1.7426536597988371211286168836105e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.848
y[1] (analytic) = 2.2963448336621274245717353878854
y[1] (numeric) = 2.2963448336621274245717353878851
absolute error = 3e-31
relative error = 1.3064239987056773377634532724941e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.849
y[1] (analytic) = 2.2973407693049181075265268386092
y[1] (numeric) = 2.2973407693049181075265268386089
absolute error = 3e-31
relative error = 1.3058576420544166815705496142361e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=370.0MB, alloc=4.4MB, time=19.07
x[1] = 2.85
y[1] (analytic) = 2.2983377624469096939591458928251
y[1] (numeric) = 2.2983377624469096939591458928248
absolute error = 3e-31
relative error = 1.3052911756564754733207010687772e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.851
y[1] (analytic) = 2.2993358133760590178816020837597
y[1] (numeric) = 2.2993358133760590178816020837594
absolute error = 3e-31
relative error = 1.3047246002727947543238856805094e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.852
y[1] (analytic) = 2.3003349223793651262279830486201
y[1] (numeric) = 2.3003349223793651262279830486198
absolute error = 3e-31
relative error = 1.3041579166641230373511199368440e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.853
y[1] (analytic) = 2.3013350897428689918554315110928
y[1] (numeric) = 2.3013350897428689918554315110925
absolute error = 3e-31
relative error = 1.3035911255910123459385177147024e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.854
y[1] (analytic) = 2.3023363157516532275031962609475
y[1] (numeric) = 2.3023363157516532275031962609472
absolute error = 3e-31
relative error = 1.3030242278138142618181681400295e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.855
y[1] (analytic) = 2.3033386006898418007100431716725
y[1] (numeric) = 2.3033386006898418007100431716722
absolute error = 3e-31
relative error = 1.3024572240926759805024342389047e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.856
y[1] (analytic) = 2.3043419448405997496903113387049
y[1] (numeric) = 2.3043419448405997496903113387046
absolute error = 3e-31
relative error = 1.3018901151875363750481062835457e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.857
y[1] (analytic) = 2.3053463484861329001688984621774
y[1] (numeric) = 2.3053463484861329001688984621771
absolute error = 3e-31
relative error = 1.3013229018581220680266756574991e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.858
y[1] (analytic) = 2.306351811907687583175458639172
y[1] (numeric) = 2.3063518119076875831754586391716
absolute error = 4e-31
relative error = 1.7343407798185913489691025143007e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.859
y[1] (analytic) = 2.3073583353855503537980947712591
y[1] (numeric) = 2.3073583353855503537980947712587
absolute error = 4e-31
relative error = 1.7335842199523881021534362682944e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.86
y[1] (analytic) = 2.3083659191990477108968268336072
y[1] (numeric) = 2.3083659191990477108968268336068
absolute error = 4e-31
relative error = 1.7328275238909748641070995391842e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.861
y[1] (analytic) = 2.3093745636265458177771162921701
y[1] (numeric) = 2.3093745636265458177771162921697
absolute error = 4e-31
relative error = 1.7320706926461363086505297582415e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.862
y[1] (analytic) = 2.3103842689454502238237259954049
y[1] (numeric) = 2.3103842689454502238237259954045
absolute error = 4e-31
relative error = 1.7313137272293480874247034802262e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.863
y[1] (analytic) = 2.3113950354322055870951939066376
y[1] (numeric) = 2.3113950354322055870951939066372
absolute error = 4e-31
relative error = 1.7305566286517716588900094982857e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.864
y[1] (analytic) = 2.3124068633622953978791980825792
y[1] (numeric) = 2.3124068633622953978791980825788
absolute error = 4e-31
relative error = 1.7297993979242491285054782646005e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.865
y[1] (analytic) = 2.3134197530102417032090893426044
y[1] (numeric) = 2.313419753010241703209089342604
absolute error = 4e-31
relative error = 1.7290420360572981001215915524438e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.866
y[1] (analytic) = 2.3144337046496048323418671122372
y[1] (numeric) = 2.3144337046496048323418671122368
absolute error = 4e-31
relative error = 1.7282845440611065386196711915164e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.867
y[1] (analytic) = 2.315448718552983123197872962845
y[1] (numeric) = 2.3154487185529831231978729628445
absolute error = 5e-31
relative error = 2.1594086536819095547882756509801e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.868
y[1] (analytic) = 2.3164647949920126497624754078241
y[1] (numeric) = 2.3164647949920126497624754078236
absolute error = 5e-31
relative error = 2.1584614671500934197069586712144e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.869
y[1] (analytic) = 2.3174819342373669504500185535703
y[1] (numeric) = 2.3174819342373669504500185535698
absolute error = 5e-31
relative error = 2.1575141217423951889884107221356e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.87
y[1] (analytic) = 2.3185001365587567574303062412621
y[1] (numeric) = 2.3185001365587567574303062412616
absolute error = 5e-31
relative error = 2.1565666187198376894732534642952e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.871
y[1] (analytic) = 2.3195194022249297269178923529503
y[1] (numeric) = 2.3195194022249297269178923529498
absolute error = 5e-31
relative error = 2.1556189593429998030841855211257e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.872
y[1] (analytic) = 2.3205397315036701704244469926416
y[1] (numeric) = 2.3205397315036701704244469926411
absolute error = 5e-31
relative error = 2.1546711448720101303250111608819e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.873
y[1] (analytic) = 2.321561124661798786974467289987
y[1] (numeric) = 2.3215611246617987869744672899865
absolute error = 5e-31
relative error = 2.1537231765665406681187460091050e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.874
y[1] (analytic) = 2.3225835819651723962846006108422
y[1] (numeric) = 2.3225835819651723962846006108417
absolute error = 5e-31
relative error = 2.1527750556858005020237940838305e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.875
y[1] (analytic) = 2.3236071036786836729068469953543
y[1] (numeric) = 2.3236071036786836729068469953538
absolute error = 5e-31
relative error = 2.1518267834885295128669083635512e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.876
y[1] (analytic) = 2.3246316900662608813359066803507
y[1] (numeric) = 2.3246316900662608813359066803502
absolute error = 5e-31
relative error = 2.1508783612329920978313649708405e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.877
y[1] (analytic) = 2.3256573413908676120809375986603
y[1] (numeric) = 2.3256573413908676120809375986598
absolute error = 5e-31
relative error = 2.1499297901769709060384988891010e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=373.8MB, alloc=4.4MB, time=19.28
x[1] = 2.878
y[1] (analytic) = 2.3266840579145025187019867835871
y[1] (numeric) = 2.3266840579145025187019867835866
absolute error = 5e-31
relative error = 2.1489810715777605886604669326801e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.879
y[1] (analytic) = 2.3277118398981990558113586420838
y[1] (numeric) = 2.3277118398981990558113586420833
absolute error = 5e-31
relative error = 2.1480322066921615636018214681132e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.88
y[1] (analytic) = 2.3287406876020252180401820952345
y[1] (numeric) = 2.328740687602025218040182095234
absolute error = 5e-31
relative error = 2.1470831967764737947871961430340e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.881
y[1] (analytic) = 2.3297706012850832799704376194577
y[1] (numeric) = 2.3297706012850832799704376194572
absolute error = 5e-31
relative error = 2.1461340430864905860921226258122e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.882
y[1] (analytic) = 2.3308015812055095370327042563818
y[1] (numeric) = 2.3308015812055095370327042563813
absolute error = 5e-31
relative error = 2.1451847468774923899537150997288e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.883
y[1] (analytic) = 2.331833627620474047369885693623
y[1] (numeric) = 2.3318336276204740473698856936224
absolute error = 6e-31
relative error = 2.5730823712850887568372123963024e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.884
y[1] (analytic) = 2.3328667407861803746671735527188
y[1] (numeric) = 2.3328667407861803746671735527182
absolute error = 6e-31
relative error = 2.5719428783051658511413626470190e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.885
y[1] (analytic) = 2.3339009209578653319485050542332
y[1] (numeric) = 2.3339009209578653319485050542326
absolute error = 6e-31
relative error = 2.5708032188176680274126328977953e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.886
y[1] (analytic) = 2.3349361683897987263397712635529
y[1] (numeric) = 2.3349361683897987263397712635523
absolute error = 6e-31
relative error = 2.5696633943263961988401720432492e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.887
y[1] (analytic) = 2.3359724833352831047990311541462
y[1] (numeric) = 2.3359724833352831047990311541456
absolute error = 6e-31
relative error = 2.5685234063344989743079887554455e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.888
y[1] (analytic) = 2.3370098660466535008139857580486
y[1] (numeric) = 2.3370098660466535008139857580481
absolute error = 5e-31
relative error = 2.1394860469537211127746832542902e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.889
y[1] (analytic) = 2.3380483167752771820669657060812
y[1] (numeric) = 2.3380483167752771820669657060806
absolute error = 6e-31
relative error = 2.5662429458581173308977460639573e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.89
y[1] (analytic) = 2.3390878357715533990676844927907
y[1] (numeric) = 2.3390878357715533990676844927902
absolute error = 5e-31
relative error = 2.1375853969805023252417743050854e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.891
y[1] (analytic) = 2.3401284232849131347540088333405
y[1] (numeric) = 2.34012842328491313475400883334
absolute error = 5e-31
relative error = 2.1366348745003233782274241507724e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.892
y[1] (analytic) = 2.3411700795638188550609965115578
y[1] (numeric) = 2.3411700795638188550609965115573
absolute error = 5e-31
relative error = 2.1356842220243756016182972407077e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.893
y[1] (analytic) = 2.3422128048557642604584511500807
y[1] (numeric) = 2.3422128048557642604584511500802
absolute error = 5e-31
relative error = 2.1347334408018936847022046435968e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.894
y[1] (analytic) = 2.3432565994072740384572423650293
y[1] (numeric) = 2.3432565994072740384572423650288
absolute error = 5e-31
relative error = 2.1337825320815263266733838637129e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.895
y[1] (analytic) = 2.3443014634639036170846387988589
y[1] (numeric) = 2.3443014634639036170846387988584
absolute error = 5e-31
relative error = 2.1328314971113302392961090577220e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.896
y[1] (analytic) = 2.3453473972702389193289005560434
y[1] (numeric) = 2.3453473972702389193289005560429
absolute error = 5e-31
relative error = 2.1318803371387641647328582047258e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.897
y[1] (analytic) = 2.3463944010698961185533765969746
y[1] (numeric) = 2.3463944010698961185533765969741
absolute error = 5e-31
relative error = 2.1309290534106829085695437341744e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.898
y[1] (analytic) = 2.3474424751055213948803516759602
y[1] (numeric) = 2.3474424751055213948803516759597
absolute error = 5e-31
relative error = 2.1299776471733313880700316291500e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.899
y[1] (analytic) = 2.3484916196187906925448864394536
y[1] (numeric) = 2.3484916196187906925448864394531
absolute error = 5e-31
relative error = 2.1290261196723386956918926366339e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.9
y[1] (analytic) = 2.3495418348504094782188933306545
y[1] (numeric) = 2.349541834850409478218893330654
absolute error = 5e-31
relative error = 2.1280744721527121778950479378533e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.901
y[1] (analytic) = 2.3505931210401125003056899763847
y[1] (numeric) = 2.3505931210401125003056899763842
absolute error = 5e-31
relative error = 2.1271227058588315292746904667559e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.902
y[1] (analytic) = 2.3516454784266635492052707616656
y[1] (numeric) = 2.3516454784266635492052707616651
absolute error = 5e-31
relative error = 2.1261708220344429020495820191412e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.903
y[1] (analytic) = 2.3526989072478552185505363267054
y[1] (numeric) = 2.3526989072478552185505363267049
absolute error = 5e-31
relative error = 2.1252188219226530309365453750399e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.904
y[1] (analytic) = 2.3537534077405086674147197500477
y[1] (numeric) = 2.3537534077405086674147197500472
absolute error = 5e-31
relative error = 2.1242667067659233734416898685955e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.905
y[1] (analytic) = 2.3548089801404733834902472104339
y[1] (numeric) = 2.3548089801404733834902472104334
absolute error = 5e-31
relative error = 2.1233144778060642655986281889742e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=377.6MB, alloc=4.4MB, time=19.48
x[1] = 2.906
y[1] (analytic) = 2.3558656246826269472392699485007
y[1] (numeric) = 2.3558656246826269472392699485002
absolute error = 5e-31
relative error = 2.1223621362842290931836616886867e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.907
y[1] (analytic) = 2.3569233416008747970161033777597
y[1] (numeric) = 2.3569233416008747970161033777592
absolute error = 5e-31
relative error = 2.1214096834409084784376311181042e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.908
y[1] (analytic) = 2.3579821311281499951618082224012
y[1] (numeric) = 2.3579821311281499951618082224008
absolute error = 4e-31
relative error = 1.6963656964127395858590796022690e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.909
y[1] (analytic) = 2.3590419934964129950711475873217
y[1] (numeric) = 2.3590419934964129950711475873212
absolute error = 5e-31
relative error = 2.1195044487484248223512538399134e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.91
y[1] (analytic) = 2.3601029289366514092321528933972
y[1] (numeric) = 2.3601029289366514092321528933968
absolute error = 4e-31
relative error = 1.6948413355015016847933059322219e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.911
y[1] (analytic) = 2.3611649376788797782385306384198
y[1] (numeric) = 2.3611649376788797782385306384194
absolute error = 4e-31
relative error = 1.6940790269112504637756038758367e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.912
y[1] (analytic) = 2.3622280199521393407751409712681
y[1] (numeric) = 2.3622280199521393407751409712677
absolute error = 4e-31
relative error = 1.6933166342176583149623619357867e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.913
y[1] (analytic) = 2.3632921759844978045767780938167
y[1] (numeric) = 2.3632921759844978045767780938163
absolute error = 4e-31
relative error = 1.6925541584098395057387336009093e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.914
y[1] (analytic) = 2.3643574060030491183604815317838
y[1] (numeric) = 2.3643574060030491183604815317834
absolute error = 4e-31
relative error = 1.6917916004763458876017660494013e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.915
y[1] (analytic) = 2.3654237102339132447316063421865
y[1] (numeric) = 2.3654237102339132447316063421861
absolute error = 4e-31
relative error = 1.6910289614051623456089396197043e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.916
y[1] (analytic) = 2.3664910889022359340638793513153
y[1] (numeric) = 2.3664910889022359340638793513149
absolute error = 4e-31
relative error = 1.6902662421837022604357866402314e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.917
y[1] (analytic) = 2.3675595422321884993536675431529
y[1] (numeric) = 2.3675595422321884993536675431525
absolute error = 4e-31
relative error = 1.6895034437988029830641119078765e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.918
y[1] (analytic) = 2.3686290704469675920486837439489
y[1] (numeric) = 2.3686290704469675920486837439485
absolute error = 4e-31
relative error = 1.6887405672367213221221144445823e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.919
y[1] (analytic) = 2.3696996737687949788513537742275
y[1] (numeric) = 2.3696996737687949788513537742271
absolute error = 4e-31
relative error = 1.6879776134831290438974876759732e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.92
y[1] (analytic) = 2.3707713524189173194970682648417
y[1] (numeric) = 2.3707713524189173194970682648413
absolute error = 4e-31
relative error = 1.6872145835231083850443528707459e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.921
y[1] (analytic) = 2.3718441066176059455075413588037
y[1] (numeric) = 2.3718441066176059455075413588032
absolute error = 5e-31
relative error = 2.1080643479264344725058231982871e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.922
y[1] (analytic) = 2.372917936584156639919497545514
y[1] (numeric) = 2.3729179365841566399194975455136
absolute error = 4e-31
relative error = 1.6856882989211363891644567127944e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.923
y[1] (analytic) = 2.3739928425368894179889068986857
y[1] (numeric) = 2.3739928425368894179889068986853
absolute error = 4e-31
relative error = 1.6849250462463616697652447440476e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.924
y[1] (analytic) = 2.3750688246931483088709880137076
y[1] (numeric) = 2.3750688246931483088709880137072
absolute error = 4e-31
relative error = 1.6841617212995029195903408134870e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.925
y[1] (analytic) = 2.376145883269301138276196964428
y[1] (numeric) = 2.3761458832693011382761969644276
absolute error = 4e-31
relative error = 1.6833983250626278634460386318789e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.926
y[1] (analytic) = 2.3772240184807393121024196233499
y[1] (numeric) = 2.3772240184807393121024196233495
absolute error = 4e-31
relative error = 1.6826348585171880404570667823411e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.927
y[1] (analytic) = 2.3783032305418776010435837130283
y[1] (numeric) = 2.378303230541877601043583713028
absolute error = 3e-31
relative error = 1.2614034919830108046467425117248e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.928
y[1] (analytic) = 2.3793835196661539261749059800399
y[1] (numeric) = 2.3793835196661539261749059800395
absolute error = 4e-31
relative error = 1.6811077184233129476633025955426e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.929
y[1] (analytic) = 2.3804648860660291455149889062584
y[1] (numeric) = 2.380464886066029145514988906258
absolute error = 4e-31
relative error = 1.6803440468346603111440766198609e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.93
y[1] (analytic) = 2.3815473299529868415649803953237
y[1] (numeric) = 2.3815473299529868415649803953233
absolute error = 4e-31
relative error = 1.6795803088569994429481413145790e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.931
y[1] (analytic) = 2.3826308515375331098250088951248
y[1] (numeric) = 2.3826308515375331098250088951244
absolute error = 4e-31
relative error = 1.6788165054686352430638825995437e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.932
y[1] (analytic) = 2.3837154510291963482881054398456
y[1] (numeric) = 2.3837154510291963482881054398452
absolute error = 4e-31
relative error = 1.6780526376472302317368657571640e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.933
y[1] (analytic) = 2.384801128636527047911823117633
y[1] (numeric) = 2.3848011286365270479118231176327
absolute error = 3e-31
relative error = 1.2579665297773501717451983546003e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=381.4MB, alloc=4.4MB, time=19.68
x[1] = 2.934
y[1] (analytic) = 2.3858878845670975840677634922511
y[1] (numeric) = 2.3858878845670975840677634922507
absolute error = 4e-31
relative error = 1.6765247126127100471278601937900e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.935
y[1] (analytic) = 2.3869757190275020089692185291764
y[1] (numeric) = 2.386975719027502008969218529176
absolute error = 4e-31
relative error = 1.6757606573516691961671566778864e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.936
y[1] (analytic) = 2.388064632223355845077135598477
y[1] (numeric) = 2.3880646322233558450771355984766
absolute error = 4e-31
relative error = 1.6749965415617276023366024421068e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.937
y[1] (analytic) = 2.389154624359295879484612148491
y[1] (numeric) = 2.3891546243592958794846121484906
absolute error = 4e-31
relative error = 1.6742323662172713395373619171053e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.938
y[1] (analytic) = 2.3902456956389799592801256657943
y[1] (numeric) = 2.390245695638979959280125665794
absolute error = 3e-31
relative error = 1.2551010992190137803923933483024e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.939
y[1] (analytic) = 2.39133784626508678788970355821
y[1] (numeric) = 2.3913378462650867878897035582096
absolute error = 4e-31
relative error = 1.6727038407590143211250890282490e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.94
y[1] (analytic) = 2.3924310764393157223982366186717
y[1] (numeric) = 2.3924310764393157223982366186713
absolute error = 4e-31
relative error = 1.6719394925906282175405110746959e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.941
y[1] (analytic) = 2.3935253863623865718501387486127
y[1] (numeric) = 2.3935253863623865718501387486123
absolute error = 4e-31
relative error = 1.6711750887585483033700476217694e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.942
y[1] (analytic) = 2.3946207762340393965295546402019
y[1] (numeric) = 2.3946207762340393965295546402015
absolute error = 4e-31
relative error = 1.6704106302337778197509189237839e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.943
y[1] (analytic) = 2.3957172462530343082203161372036
y[1] (numeric) = 2.3957172462530343082203161372032
absolute error = 4e-31
relative error = 1.6696461179866308186030884106895e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.944
y[1] (analytic) = 2.3968147966171512714458470144878
y[1] (numeric) = 2.3968147966171512714458470144873
absolute error = 5e-31
relative error = 2.0861019412334099820878072547890e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.945
y[1] (analytic) = 2.3979134275231899056892149362694
y[1] (numeric) = 2.3979134275231899056892149362689
absolute error = 5e-31
relative error = 2.0851461702537405958804524208967e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.946
y[1] (analytic) = 2.3990131391669692885935283730086
y[1] (numeric) = 2.3990131391669692885935283730082
absolute error = 4e-31
relative error = 1.6673522686036457668089677073232e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.947
y[1] (analytic) = 2.4001139317433277601428752765583
y[1] (numeric) = 2.4001139317433277601428752765579
absolute error = 4e-31
relative error = 1.6665875511562035129560937810873e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.948
y[1] (analytic) = 2.4012158054461227278239993326037
y[1] (numeric) = 2.4012158054461227278239993326033
absolute error = 4e-31
relative error = 1.6658227848274714296915921550573e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.949
y[1] (analytic) = 2.4023187604682304727689086287021
y[1] (numeric) = 2.4023187604682304727689086287017
absolute error = 4e-31
relative error = 1.6650579705835411780433454875499e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.95
y[1] (analytic) = 2.403422797001545956878610595298
y[1] (numeric) = 2.4034227970015459568786105952976
absolute error = 4e-31
relative error = 1.6642931093897862676466551981322e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.951
y[1] (analytic) = 2.4045279152369826309281660959616
y[1] (numeric) = 2.4045279152369826309281660959612
absolute error = 4e-31
relative error = 1.6635282022108579721008847536074e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.952
y[1] (analytic) = 2.4056341153644722436532545617817
y[1] (numeric) = 2.4056341153644722436532545617813
absolute error = 4e-31
relative error = 1.6627632500106812575712202808790e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.953
y[1] (analytic) = 2.4067413975729646518184410833318
y[1] (numeric) = 2.4067413975729646518184410833313
absolute error = 5e-31
relative error = 2.0774978171905634058114958636642e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.954
y[1] (analytic) = 2.4078497620504276312673353919252
y[1] (numeric) = 2.4078497620504276312673353919248
absolute error = 4e-31
relative error = 1.6612332143986265634854238635423e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.955
y[1] (analytic) = 2.4089592089838466889548316799871
y[1] (numeric) = 2.4089592089838466889548316799866
absolute error = 5e-31
relative error = 2.0755851661386631527596676669293e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.956
y[1] (analytic) = 2.4100697385592248759616172282843
y[1] (numeric) = 2.4100697385592248759616172282838
absolute error = 5e-31
relative error = 2.0746287628129273607971991753456e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.957
y[1] (analytic) = 2.4111813509615826014911368254925
y[1] (numeric) = 2.411181350961582601491136825492
absolute error = 5e-31
relative error = 2.0736723092213668566484163201354e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.958
y[1] (analytic) = 2.4122940463749574478491989831182
y[1] (numeric) = 2.4122940463749574478491989831177
absolute error = 5e-31
relative error = 2.0727158065633345973338766265604e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.959
y[1] (analytic) = 2.4134078249824039864064089661546
y[1] (numeric) = 2.4134078249824039864064089661541
absolute error = 5e-31
relative error = 2.0717592560372404958253913554451e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.96
y[1] (analytic) = 2.4145226869659935945436126770238
y[1] (numeric) = 2.4145226869659935945436126770233
absolute error = 5e-31
relative error = 2.0708026588405464648411881065854e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.961
y[1] (analytic) = 2.4156386325068142735805344473452
y[1] (numeric) = 2.4156386325068142735805344473446
absolute error = 6e-31
relative error = 2.4838152194037137728097200819353e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=385.2MB, alloc=4.4MB, time=19.88
x[1] = 2.962
y[1] (analytic) = 2.4167556617849704676877908088768
y[1] (numeric) = 2.4167556617849704676877908088763
absolute error = 5e-31
relative error = 2.0688893292204366437387871444400e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.963
y[1] (analytic) = 2.4178737749795828837824613316029
y[1] (numeric) = 2.4178737749795828837824613316024
absolute error = 5e-31
relative error = 2.0679325991871603058383976482135e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.964
y[1] (analytic) = 2.4189929722687883124073966333786
y[1] (numeric) = 2.4189929722687883124073966333781
absolute error = 5e-31
relative error = 2.0669758272635531475214831575184e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.965
y[1] (analytic) = 2.420113253829739449594442681812
y[1] (numeric) = 2.4201132538297394495944426818115
absolute error = 5e-31
relative error = 2.0660190146422633221863834878961e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.966
y[1] (analytic) = 2.4212346198386047197117595251418
y[1] (numeric) = 2.4212346198386047197117595251413
absolute error = 5e-31
relative error = 2.0650621625149615969607035560502e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.967
y[1] (analytic) = 2.4223570704705680992954116047792
y[1] (numeric) = 2.4223570704705680992954116047787
absolute error = 5e-31
relative error = 2.0641052720723365136979091878493e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.968
y[1] (analytic) = 2.4234806058998289418654058179075
y[1] (numeric) = 2.4234806058998289418654058179071
absolute error = 4e-31
relative error = 1.6505186756032716534171797374620e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.969
y[1] (analytic) = 2.4246052262996018037263525140878
y[1] (numeric) = 2.4246052262996018037263525140873
absolute error = 5e-31
relative error = 2.0621913809989303976794210777078e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.97
y[1] (analytic) = 2.4257309318421162707529236251939
y[1] (numeric) = 2.4257309318421162707529236251934
absolute error = 5e-31
relative error = 2.0612343827445720064718243869123e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.971
y[1] (analytic) = 2.426857722698616786160281143206
y[1] (numeric) = 2.4268577226986167861602811432056
absolute error = 4e-31
relative error = 1.6482218807421807840108903915138e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.972
y[1] (analytic) = 2.4279855990393624792596481754184
y[1] (numeric) = 2.427985599039362479259648175418
absolute error = 4e-31
relative error = 1.6474562293872781896757720741941e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.973
y[1] (analytic) = 2.4291145610336269951991938214763
y[1] (numeric) = 2.4291145610336269951991938214759
absolute error = 4e-31
relative error = 1.6466905530787054323194864557746e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.974
y[1] (analytic) = 2.4302446088496983256904021313438
y[1] (numeric) = 2.4302446088496983256904021313434
absolute error = 4e-31
relative error = 1.6459248527634056202768509945710e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.975
y[1] (analytic) = 2.4313757426548786407200944178183
y[1] (numeric) = 2.4313757426548786407200944178179
absolute error = 4e-31
relative error = 1.6451591293875055966477008621813e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.976
y[1] (analytic) = 2.4325079626154841212482732115566
y[1] (numeric) = 2.4325079626154841212482732115562
absolute error = 4e-31
relative error = 1.6443933838963121893888805739868e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.977
y[1] (analytic) = 2.4336412688968447928919551607535
y[1] (numeric) = 2.433641268896844792891955160753
absolute error = 5e-31
relative error = 2.0545345215428855936615792879612e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.978
y[1] (analytic) = 2.4347756616633043605951591916264
y[1] (numeric) = 2.434775661663304360595159191626
absolute error = 4e-31
relative error = 1.6428618303451500553162122908836e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.979
y[1] (analytic) = 2.4359111410782200442852152597056
y[1] (numeric) = 2.4359111410782200442852152597052
absolute error = 4e-31
relative error = 1.6420960241716613489016908034004e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.98
y[1] (analytic) = 2.4370477073039624155155580356046
y[1] (numeric) = 2.4370477073039624155155580356042
absolute error = 4e-31
relative error = 1.6413301996558318945760302241706e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.981
y[1] (analytic) = 2.4381853605019152350951688824665
y[1] (numeric) = 2.4381853605019152350951688824661
absolute error = 4e-31
relative error = 1.6405643577388126695571533961626e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.982
y[1] (analytic) = 2.4393241008324752917048284956287
y[1] (numeric) = 2.4393241008324752917048284956283
absolute error = 4e-31
relative error = 1.6397984993609124207428543050421e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.983
y[1] (analytic) = 2.440463928455052241500341588241
y[1] (numeric) = 2.4404639284550522415003415882406
absolute error = 4e-31
relative error = 1.6390326254615940096335289080666e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.984
y[1] (analytic) = 2.4416048435280684487028940195983
y[1] (numeric) = 2.4416048435280684487028940195979
absolute error = 4e-31
relative error = 1.6382667369794707708325506340976e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.985
y[1] (analytic) = 2.442746846208958827176701775818
y[1] (numeric) = 2.4427468462089588271767017758175
absolute error = 5e-31
relative error = 2.0468760435653786051641026075760e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.986
y[1] (analytic) = 2.4438899366541706829941102251996
y[1] (numeric) = 2.4438899366541706829941102251992
absolute error = 4e-31
relative error = 1.6367349200169937601855130436527e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.987
y[1] (analytic) = 2.4450341150191635579883010831549
y[1] (numeric) = 2.4450341150191635579883010831545
absolute error = 4e-31
relative error = 1.6359689934095864397899138669974e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.988
y[1] (analytic) = 2.4461793814584090742937635339871
y[1] (numeric) = 2.4461793814584090742937635339867
absolute error = 4e-31
relative error = 1.6352030559652600067568928444118e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.989
y[1] (analytic) = 2.4473257361253907798746849690367
y[1] (numeric) = 2.4473257361253907798746849690363
absolute error = 4e-31
relative error = 1.6344371086183260144060459124896e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=389.1MB, alloc=4.4MB, time=20.08
x[1] = 2.99
y[1] (analytic) = 2.4484731791726039950414158127892
y[1] (numeric) = 2.4484731791726039950414158127887
absolute error = 5e-31
relative error = 2.0420889403777811570877343842848e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.991
y[1] (analytic) = 2.4496217107515556599551619204675
y[1] (numeric) = 2.4496217107515556599551619204671
absolute error = 4e-31
relative error = 1.6329051879495225668237520859056e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.992
y[1] (analytic) = 2.4507713310127641831210570424045
y[1] (numeric) = 2.4507713310127641831210570424041
absolute error = 4e-31
relative error = 1.6321392164919065948391570848940e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.993
y[1] (analytic) = 2.451922040105759290869766862109
y[1] (numeric) = 2.4519220401057592908697668621086
absolute error = 4e-31
relative error = 1.6313732388601829783765197755002e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.994
y[1] (analytic) = 2.4530738381790818778277751264104
y[1] (numeric) = 2.45307383817908187782777512641
absolute error = 4e-31
relative error = 1.6306072559842724924119226092905e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.995
y[1] (analytic) = 2.4542267253802838583765013973824
y[1] (numeric) = 2.4542267253802838583765013973821
absolute error = 3e-31
relative error = 1.2223809515949054198819181945682e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.996
y[1] (analytic) = 2.4553807018559280191003989669161
y[1] (numeric) = 2.4553807018559280191003989669158
absolute error = 3e-31
relative error = 1.2218064586613453300551624697118e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.997
y[1] (analytic) = 2.4565357677515878722241804858316
y[1] (numeric) = 2.4565357677515878722241804858313
absolute error = 3e-31
relative error = 1.2212319638829573234432987082293e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.998
y[1] (analytic) = 2.4576919232118475100393178702908
y[1] (numeric) = 2.4576919232118475100393178702906
absolute error = 2e-31
relative error = 8.1377164530300020976305273150213e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.999
y[1] (analytic) = 2.458849168380301460319962059
y[1] (numeric) = 2.4588491683803014603199620589998
absolute error = 2e-31
relative error = 8.1338864771337088760660649170495e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3
y[1] (analytic) = 2.4600075033995545427284272052687
y[1] (numeric) = 2.4600075033995545427284272052685
absolute error = 2e-31
relative error = 8.1300565028201863137404440721467e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.001
y[1] (analytic) = 2.4611669284112217262103828984302
y[1] (numeric) = 2.46116692841122172621038289843
absolute error = 2e-31
relative error = 8.1262265347075714877397923721292e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.002
y[1] (analytic) = 2.4623274435559279873798970194191
y[1] (numeric) = 2.4623274435559279873798970194189
absolute error = 2e-31
relative error = 8.1223965774094377495915385234043e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.003
y[1] (analytic) = 2.4634890489733081698944708454509
y[1] (numeric) = 2.4634890489733081698944708454507
absolute error = 2e-31
relative error = 8.1185666355347778131471254296105e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.004
y[1] (analytic) = 2.4646517448020068448202070287575
y[1] (numeric) = 2.4646517448020068448202070287573
absolute error = 2e-31
relative error = 8.1147367136879869108632987978937e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.005
y[1] (analytic) = 2.4658155311796781719872500841983
y[1] (numeric) = 2.4658155311796781719872500841981
absolute error = 2e-31
relative error = 8.1109068164688460184972172727516e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.006
y[1] (analytic) = 2.4669804082429857623356380302954
y[1] (numeric) = 2.4669804082429857623356380302952
absolute error = 2e-31
relative error = 8.1070769484725051482296693870096e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.007
y[1] (analytic) = 2.4681463761276025412517028378293
y[1] (numeric) = 2.4681463761276025412517028378291
absolute error = 2e-31
relative error = 8.1032471142894667102297243751239e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.008
y[1] (analytic) = 2.4693134349682106128951563495837
y[1] (numeric) = 2.4693134349682106128951563495835
absolute error = 2e-31
relative error = 8.0994173185055689426731881328346e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.009
y[1] (analytic) = 2.4704815848985011255169973441422
y[1] (numeric) = 2.4704815848985011255169973441419
absolute error = 3e-31
relative error = 1.2143381348552954115339423513463e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.01
y[1] (analytic) = 2.4716508260511741377683744258176
y[1] (numeric) = 2.4716508260511741377683744258173
absolute error = 3e-31
relative error = 1.2137636790682692856507521039466e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.011
y[1] (analytic) = 2.4728211585579384860005384318419
y[1] (numeric) = 2.4728211585579384860005384318416
absolute error = 3e-31
relative error = 1.2131892311005190118029631842175e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.012
y[1] (analytic) = 2.4739925825495116525560170568508
y[1] (numeric) = 2.4739925825495116525560170568505
absolute error = 3e-31
relative error = 1.2126147916370971729670402222971e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.013
y[1] (analytic) = 2.4751650981556196350511434034797
y[1] (numeric) = 2.4751650981556196350511434034794
absolute error = 3e-31
relative error = 1.2120403613623444529103229881835e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.014
y[1] (analytic) = 2.4763387055049968166500691765296
y[1] (numeric) = 2.4763387055049968166500691765293
absolute error = 3e-31
relative error = 1.2114659409598872123332079920057e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.015
y[1] (analytic) = 2.4775134047253858373303922466805
y[1] (numeric) = 2.4775134047253858373303922466802
absolute error = 3e-31
relative error = 1.2108915311126350752884082039807e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.016
y[1] (analytic) = 2.4786891959435374661405273181133
y[1] (numeric) = 2.478689195943537466140527318113
absolute error = 3e-31
relative error = 1.2103171325027785258780133146288e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.017
y[1] (analytic) = 2.4798660792852104744489474426586
y[1] (numeric) = 2.4798660792852104744489474426583
absolute error = 3e-31
relative error = 1.2097427458117865152289330302976e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=392.9MB, alloc=4.4MB, time=20.29
x[1] = 3.018
y[1] (analytic) = 2.481044054875171510185423131221
y[1] (numeric) = 2.4810440548751715101854231312207
absolute error = 3e-31
relative error = 1.2091683717204040787471663648802e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.019
y[1] (analytic) = 2.4822231228371949730743848212288
y[1] (numeric) = 2.4822231228371949730743848212286
absolute error = 2e-31
relative error = 8.0572934060576664243413383173831e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.02
y[1] (analytic) = 2.483403283294062890860533466737
y[1] (numeric) = 2.4834032832940628908605334667367
absolute error = 3e-31
relative error = 1.2080196640558142667847060207054e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.021
y[1] (analytic) = 2.4845845363675647965268230255608
y[1] (numeric) = 2.4845845363675647965268230255606
absolute error = 2e-31
relative error = 8.0496355456030405513903336754697e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.022
y[1] (analytic) = 2.48576688217849760650493762545
y[1] (numeric) = 2.4857668821784976065049376254498
absolute error = 2e-31
relative error = 8.0458067662693410804801648743453e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.023
y[1] (analytic) = 2.4869503208466654998783851988134
y[1] (numeric) = 2.4869503208466654998783851988132
absolute error = 2e-31
relative error = 8.0419780935515972017535572429018e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.024
y[1] (analytic) = 2.4881348524908797985783283828928
y[1] (numeric) = 2.4881348524908797985783283828926
absolute error = 2e-31
relative error = 8.0381495319588227755790338132918e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.025
y[1] (analytic) = 2.4893204772289588485722724895431
y[1] (numeric) = 2.4893204772289588485722724895429
absolute error = 2e-31
relative error = 8.0343210859950962814863925180618e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.026
y[1] (analytic) = 2.4905071951777279020457293559223
y[1] (numeric) = 2.4905071951777279020457293559221
absolute error = 2e-31
relative error = 8.0304927601595454813947749043372e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.027
y[1] (analytic) = 2.4916950064530190005769748944169
y[1] (numeric) = 2.4916950064530190005769748944168
absolute error = 1e-31
relative error = 4.0133322794731660756756976095791e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.028
y[1] (analytic) = 2.4928839111696708593050171670362
y[1] (numeric) = 2.4928839111696708593050171670361
absolute error = 1e-31
relative error = 4.0114182434223184408873633674621e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.029
y[1] (analytic) = 2.4940739094415287520908908162963
y[1] (numeric) = 2.4940739094415287520908908162962
absolute error = 1e-31
relative error = 4.0095042741693219730975207102851e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.03
y[1] (analytic) = 2.4952650013814443976723926912916
y[1] (numeric) = 2.4952650013814443976723926912915
absolute error = 1e-31
relative error = 4.0075903739537631192421505229788e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.031
y[1] (analytic) = 2.4964571871012758468123725142075
y[1] (numeric) = 2.4964571871012758468123725142074
absolute error = 1e-31
relative error = 4.0056765450127151392832512723312e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.032
y[1] (analytic) = 2.4976504667118873704406914389747
y[1] (numeric) = 2.4976504667118873704406914389746
absolute error = 1e-31
relative error = 4.0037627895807306432993439821894e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.033
y[1] (analytic) = 2.4988448403231493487899603600967
y[1] (numeric) = 2.4988448403231493487899603600966
absolute error = 1e-31
relative error = 4.0018491098898341628059698074571e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.034
y[1] (analytic) = 2.5000403080439381615251688359039
y[1] (numeric) = 2.5000403080439381615251688359038
absolute error = 1e-31
relative error = 3.9999355081695147563003970457702e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.035
y[1] (analytic) = 2.5012368699821360788673144965952
y[1] (numeric) = 2.5012368699821360788673144965951
absolute error = 1e-31
relative error = 3.9980219866467186490243123582202e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.036
y[1] (analytic) = 2.5024345262446311537111418134292
y[1] (numeric) = 2.5024345262446311537111418134292
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.037
y[1] (analytic) = 2.5036332769373171147370981113176
y[1] (numeric) = 2.5036332769373171147370981113176
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.038
y[1] (analytic) = 2.5048331221650932605176137128544
y[1] (numeric) = 2.5048331221650932605176137128544
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.039
y[1] (analytic) = 2.5060340620318643546178121074938
y[1] (numeric) = 2.5060340620318643546178121074938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.04
y[1] (analytic) = 2.5072360966405405216907550451568
y[1] (numeric) = 2.5072360966405405216907550451568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.041
y[1] (analytic) = 2.5084392260930371445673264590127
y[1] (numeric) = 2.5084392260930371445673264590127
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.042
y[1] (analytic) = 2.5096434504902747623408581275434
y[1] (numeric) = 2.5096434504902747623408581275434
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.043
y[1] (analytic) = 2.5108487699321789694465989912566
y[1] (numeric) = 2.5108487699321789694465989912566
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.044
y[1] (analytic) = 2.512055184517680315736129044569
y[1] (numeric) = 2.5120551845176803157361290445691
absolute error = 1e-31
relative error = 3.9808042680081569377075464961175e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.045
y[1] (analytic) = 2.5132626943447142075468177284391
y[1] (numeric) = 2.5132626943447142075468177284391
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.046
y[1] (analytic) = 2.5144712995102208097664257542806
y[1] (numeric) = 2.5144712995102208097664257542806
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
memory used=396.7MB, alloc=4.5MB, time=20.50
TOP MAIN SOLVE Loop
x[1] = 3.047
y[1] (analytic) = 2.5156810001101449488929482945491
y[1] (numeric) = 2.5156810001101449488929482945491
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.048
y[1] (analytic) = 2.5168917962394360170897964801488
y[1] (numeric) = 2.5168917962394360170897964801487
absolute error = 1e-31
relative error = 3.9731545134126551493698481916179e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.049
y[1] (analytic) = 2.51810368799204787723641314947
y[1] (numeric) = 2.5181036879920478772364131494699
absolute error = 1e-31
relative error = 3.9712423470433278705668784672313e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.05
y[1] (analytic) = 2.5193166754609387689744177984351
y[1] (numeric) = 2.519316675460938768974417798435
absolute error = 1e-31
relative error = 3.9693302939656769352533249726815e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.051
y[1] (analytic) = 2.5205307587380712157493746853986
y[1] (numeric) = 2.5205307587380712157493746853985
absolute error = 1e-31
relative error = 3.9674183563649901352766217125241e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.052
y[1] (analytic) = 2.5217459379144119328482770491262
y[1] (numeric) = 2.5217459379144119328482770491261
absolute error = 1e-31
relative error = 3.9655065364238925324007181598480e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.053
y[1] (analytic) = 2.5229622130799317364328394023608
y[1] (numeric) = 2.5229622130799317364328394023607
absolute error = 1e-31
relative error = 3.9635948363223397124325141492119e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.054
y[1] (analytic) = 2.5241795843236054535686888676761
y[1] (numeric) = 2.524179584323605453568688867676
absolute error = 1e-31
relative error = 3.9616832582376110733659022894415e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.055
y[1] (analytic) = 2.5253980517334118332505455264178
y[1] (numeric) = 2.5253980517334118332505455264177
absolute error = 1e-31
relative error = 3.9597718043443031475286523669886e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.056
y[1] (analytic) = 2.5266176153963334584234807555459
y[1] (numeric) = 2.5266176153963334584234807555458
absolute error = 1e-31
relative error = 3.9578604768143229577169605908778e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.057
y[1] (analytic) = 2.5278382753983566590003415311114
y[1] (numeric) = 2.5278382753983566590003415311113
absolute error = 1e-31
relative error = 3.9559492778168814073020764071762e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.058
y[1] (analytic) = 2.529060031824471425875427680937
y[1] (numeric) = 2.5290600318244714258754276809369
absolute error = 1e-31
relative error = 3.9540382095184867042930109882287e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.059
y[1] (analytic) = 2.5302828847586713259345080728159
y[1] (numeric) = 2.5302828847586713259345080728158
absolute error = 1e-31
relative error = 3.9521272740829378193389243833984e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.06
y[1] (analytic) = 2.5315068342839534180612607282068
y[1] (numeric) = 2.5315068342839534180612607282067
absolute error = 1e-31
relative error = 3.9502164736713179776543827074372e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.061
y[1] (analytic) = 2.5327318804823181701402208549772
y[1] (numeric) = 2.5327318804823181701402208549771
absolute error = 1e-31
relative error = 3.9483058104419881848502726435732e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.062
y[1] (analytic) = 2.5339580234347693770563197962401
y[1] (numeric) = 2.53395802343476937705631979624
absolute error = 1e-31
relative error = 3.9463952865505807866527579545375e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.063
y[1] (analytic) = 2.535185263221314079691096895739
y[1] (numeric) = 2.5351852632213140796910968957389
absolute error = 1e-31
relative error = 3.9444849041499930624922616296270e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.064
y[1] (analytic) = 2.5364135999209624849156652835614
y[1] (numeric) = 2.5364135999209624849156652835613
absolute error = 1e-31
relative error = 3.9425746653903808529440577530273e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.065
y[1] (analytic) = 2.5376430336117278865805115892097
y[1] (numeric) = 2.5376430336117278865805115892096
absolute error = 1e-31
relative error = 3.9406645724191522210016591614354e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.066
y[1] (analytic) = 2.538873564370626587502208592222
y[1] (numeric) = 2.5388735643706265875022085922218
absolute error = 2e-31
relative error = 7.8775092547619222943275809418938e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.067
y[1] (analytic) = 2.5401051922736778224471188236241
y[1] (numeric) = 2.5401051922736778224471188236239
absolute error = 2e-31
relative error = 7.8736896648354025166306821950832e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.068
y[1] (analytic) = 2.5413379173959036821121661345034
y[1] (numeric) = 2.5413379173959036821121661345033
absolute error = 1e-31
relative error = 3.9349351896684995903822994756056e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.069
y[1] (analytic) = 2.5425717398113290381027512509257
y[1] (numeric) = 2.5425717398113290381027512509256
absolute error = 1e-31
relative error = 3.9330257012697103847402777980306e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.07
y[1] (analytic) = 2.5438066595929814689078863372732
y[1] (numeric) = 2.5438066595929814689078863372731
absolute error = 1e-31
relative error = 3.9311163693549089183558462626930e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.071
y[1] (analytic) = 2.545042676812891186872622592864
y[1] (numeric) = 2.5450426768128911868726225928639
absolute error = 1e-31
relative error = 3.9292071960548853676395070166926e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.072
y[1] (analytic) = 2.5462797915420909661678439094182
y[1] (numeric) = 2.5462797915420909661678439094181
absolute error = 1e-31
relative error = 3.9272981834976387059887507447065e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.073
y[1] (analytic) = 2.547518003850616071757498619572
y[1] (numeric) = 2.5475180038506160717574986195718
absolute error = 2e-31
relative error = 7.8507786676167412699985063084186e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.074
y[1] (analytic) = 2.5487573138075041893633403692007
y[1] (numeric) = 2.5487573138075041893633403692005
absolute error = 2e-31
relative error = 7.8469612982189590986437689422441e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=400.5MB, alloc=4.5MB, time=20.71
TOP MAIN SOLVE Loop
x[1] = 3.075
y[1] (analytic) = 2.5499977214807953564272481488058
y[1] (numeric) = 2.5499977214807953564272481488057
absolute error = 1e-31
relative error = 3.9215721315205545351428224775884e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.076
y[1] (analytic) = 2.551239226937531894071194521639
y[1] (numeric) = 2.5512392269375318940711945216388
absolute error = 2e-31
relative error = 7.8393275663167388045273572038724e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.077
y[1] (analytic) = 2.5524818302437583400549300885888
y[1] (numeric) = 2.5524818302437583400549300885887
absolute error = 1e-31
relative error = 3.9177556061368767497581671122728e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.078
y[1] (analytic) = 2.5537255314645213827314512321423
y[1] (numeric) = 2.5537255314645213827314512321422
absolute error = 1e-31
relative error = 3.9158476025672020651814695723577e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.079
y[1] (analytic) = 2.5549703306638697960003171839451
y[1] (numeric) = 2.554970330663869796000317183945
absolute error = 1e-31
relative error = 3.9139397745576378573080703941358e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.08
y[1] (analytic) = 2.5562162279048543752588814626402
y[1] (numeric) = 2.5562162279048543752588814626401
absolute error = 1e-31
relative error = 3.9120321242136378223734645682413e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.081
y[1] (analytic) = 2.5574632232495278743515017307469
y[1] (numeric) = 2.5574632232495278743515017307468
absolute error = 1e-31
relative error = 3.9101246536378110437947654745369e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.082
y[1] (analytic) = 2.5587113167589449435167911213663
y[1] (numeric) = 2.5587113167589449435167911213661
absolute error = 2e-31
relative error = 7.8164347298598324506897381437895e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.083
y[1] (analytic) = 2.5599605084931620683329730874548
y[1] (numeric) = 2.5599605084931620683329730874546
absolute error = 2e-31
relative error = 7.8126205203737119155089214849442e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.084
y[1] (analytic) = 2.5612107985112375096614008283084
y[1] (numeric) = 2.5612107985112375096614008283082
absolute error = 2e-31
relative error = 7.8088066830053420374315652462943e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.085
y[1] (analytic) = 2.5624621868712312445883013497305
y[1] (numeric) = 2.5624621868712312445883013497303
absolute error = 2e-31
relative error = 7.8049932219370694125234247959786e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.086
y[1] (analytic) = 2.5637146736302049083648032161363
y[1] (numeric) = 2.5637146736302049083648032161361
absolute error = 2e-31
relative error = 7.8011801413454944109866785059697e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.087
y[1] (analytic) = 2.5649682588442217373453060545606
y[1] (numeric) = 2.5649682588442217373453060545604
absolute error = 2e-31
relative error = 7.7973674454014599772577180201240e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.088
y[1] (analytic) = 2.5662229425683465129242488721939
y[1] (numeric) = 2.5662229425683465129242488721937
absolute error = 2e-31
relative error = 7.7935551382700404966924967280099e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.089
y[1] (analytic) = 2.5674787248566455064713332506756
y[1] (numeric) = 2.5674787248566455064713332506753
absolute error = 3e-31
relative error = 1.1684614836165796093175452936001e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.09
y[1] (analytic) = 2.5687356057621864252652564819142
y[1] (numeric) = 2.568735605762186425265256481914
absolute error = 2e-31
relative error = 7.7859317070764348068527652536572e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.091
y[1] (analytic) = 2.5699935853370383594260087116997
y[1] (numeric) = 2.5699935853370383594260087116994
absolute error = 3e-31
relative error = 1.1673180886973182956241315749558e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.092
y[1] (analytic) = 2.5712526636322717298457871588031
y[1] (numeric) = 2.5712526636322717298457871588028
absolute error = 3e-31
relative error = 1.1667464821454223549568092313217e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.093
y[1] (analytic) = 2.5725128406979582371185794786483
y[1] (numeric) = 2.572512840697958237118579478648
absolute error = 3e-31
relative error = 1.1661749370261874365537984167675e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.094
y[1] (analytic) = 2.5737741165831708114684673419657
y[1] (numeric) = 2.5737741165831708114684673419654
absolute error = 3e-31
relative error = 1.1656034539591484833722661721803e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.095
y[1] (analytic) = 2.575036491335983563676700300121
y[1] (numeric) = 2.5750364913359835636767003001208
absolute error = 2e-31
relative error = 7.7668802237530916231871561721331e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.096
y[1] (analytic) = 2.576299965003471737007589010042
y[1] (numeric) = 2.5762999650034717370075890100418
absolute error = 2e-31
relative error = 7.7630711763694211976222461073726e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.097
y[1] (analytic) = 2.5775645376317116601332658928442
y[1] (numeric) = 2.577564537631711660133265892844
absolute error = 2e-31
relative error = 7.7592625550226459256863829021887e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.098
y[1] (analytic) = 2.5788302092657807010573603013925
y[1] (numeric) = 2.5788302092657807010573603013923
absolute error = 2e-31
relative error = 7.7554543638195568780719498449509e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.099
y[1] (analytic) = 2.5800969799497572220376342731192
y[1] (numeric) = 2.580096979949757222037634273119
absolute error = 2e-31
relative error = 7.7516466068610584782403201961971e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.1
y[1] (analytic) = 2.5813648497267205355076239454585
y[1] (numeric) = 2.5813648497267205355076239454583
absolute error = 2e-31
relative error = 7.7478392882421581636024094095489e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.101
y[1] (analytic) = 2.582633818638750860997330712253
y[1] (numeric) = 2.5826338186387508609973307122528
absolute error = 2e-31
relative error = 7.7440324120519561125062977500406e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.102
y[1] (analytic) = 2.5839038867269292830530052004372
y[1] (numeric) = 2.583903886726929283053005200437
absolute error = 2e-31
relative error = 7.7402259823736350369670408920345e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=404.3MB, alloc=4.5MB, time=20.92
x[1] = 3.103
y[1] (analytic) = 2.5851750540313377101560661472105
y[1] (numeric) = 2.5851750540313377101560661472102
absolute error = 3e-31
relative error = 1.1604630004926675061609665134492e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.104
y[1] (analytic) = 2.5864473205910588346411952587771
y[1] (numeric) = 2.5864473205910588346411952587768
absolute error = 3e-31
relative error = 1.1598921718283577817504846145928e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.105
y[1] (analytic) = 2.5877206864441760936136481325557
y[1] (numeric) = 2.5877206864441760936136481325554
absolute error = 3e-31
relative error = 1.1593214119729215411880078268040e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.106
y[1] (analytic) = 2.5889951516277736308658203255431
y[1] (numeric) = 2.5889951516277736308658203255428
absolute error = 3e-31
relative error = 1.1587507215352705974509621926530e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.107
y[1] (analytic) = 2.5902707161779362597931066522643
y[1] (numeric) = 2.590270716177936259793106652264
absolute error = 3e-31
relative error = 1.1581801011234216356863976198174e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.108
y[1] (analytic) = 2.5915473801297494273090907964448
y[1] (numeric) = 2.5915473801297494273090907964445
absolute error = 3e-31
relative error = 1.1576095513444947410784047751206e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.109
y[1] (analytic) = 2.5928251435172991787601013212146
y[1] (numeric) = 2.5928251435172991787601013212144
absolute error = 2e-31
relative error = 7.7135938186980795767061448739917e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.11
y[1] (analytic) = 2.5941040063736721238391691632832
y[1] (numeric) = 2.5941040063736721238391691632829
absolute error = 3e-31
relative error = 1.1564686661093957299804004483037e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.111
y[1] (analytic) = 2.5953839687309554034994206971256
y[1] (numeric) = 2.5953839687309554034994206971253
absolute error = 3e-31
relative error = 1.1558983318629676718527056779368e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.112
y[1] (analytic) = 2.5966650306202366578669394557848
y[1] (numeric) = 2.5966650306202366578669394557846
absolute error = 2e-31
relative error = 7.7021871377929794785234790659849e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.113
y[1] (analytic) = 2.5979471920716039951531285954248
y[1] (numeric) = 2.5979471920716039951531285954246
absolute error = 2e-31
relative error = 7.6983858875329921695429804750092e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.114
y[1] (analytic) = 2.5992304531141459615666051912694
y[1] (numeric) = 2.5992304531141459615666051912692
absolute error = 2e-31
relative error = 7.6945851323178900063523803316631e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.115
y[1] (analytic) = 2.6005148137759515122246564530306
y[1] (numeric) = 2.6005148137759515122246564530305
absolute error = 1e-31
relative error = 3.8453924380765147837584225889981e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.116
y[1] (analytic) = 2.601800274084109983064286948368
y[1] (numeric) = 2.6018002740841099830642869483679
absolute error = 1e-31
relative error = 3.8434925615188569642463401780327e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.117
y[1] (analytic) = 2.6030868340647110637528849233284
y[1] (numeric) = 2.6030868340647110637528849233282
absolute error = 2e-31
relative error = 7.6831858769651834322521263062146e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.118
y[1] (analytic) = 2.6043744937428447715985348090982
y[1] (numeric) = 2.6043744937428447715985348090981
absolute error = 1e-31
relative error = 3.8396935709613032622612496803443e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.119
y[1] (analytic) = 2.6056632531426014264600020047543
y[1] (numeric) = 2.6056632531426014264600020047541
absolute error = 2e-31
relative error = 7.6755889218910706535637452213766e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.12
y[1] (analytic) = 2.6069531122870716266564150260244
y[1] (numeric) = 2.6069531122870716266564150260242
absolute error = 2e-31
relative error = 7.6717912208455732344078527342579e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.121
y[1] (analytic) = 2.6082440711983462258766691103758
y[1] (numeric) = 2.6082440711983462258766691103756
absolute error = 2e-31
relative error = 7.6679940427550126774829582732578e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.122
y[1] (analytic) = 2.609536129897516311088574369024
y[1] (numeric) = 2.6095361298975163110885743690238
absolute error = 2e-31
relative error = 7.6641973915821794815443570240562e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.123
y[1] (analytic) = 2.6108292884046731814477705767133
y[1] (numeric) = 2.6108292884046731814477705767131
absolute error = 2e-31
relative error = 7.6604012712837473908340267150599e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.124
y[1] (analytic) = 2.612123546738908328206429690352
y[1] (numeric) = 2.6121235467389083282064296903518
absolute error = 2e-31
relative error = 7.6566056858102646163896618794143e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.125
y[1] (analytic) = 2.6134189049183134156217661877978
y[1] (numeric) = 2.6134189049183134156217661877976
absolute error = 2e-31
relative error = 7.6528106391061451214236125495802e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.126
y[1] (analytic) = 2.6147153629599802628643743182821
y[1] (numeric) = 2.6147153629599802628643743182819
absolute error = 2e-31
relative error = 7.6490161351096599706915203855717e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.127
y[1] (analytic) = 2.616012920880000826926410356134
y[1] (numeric) = 2.6160129208800008269264103561338
absolute error = 2e-31
relative error = 7.6452221777529287437698476203045e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.128
y[1] (analytic) = 2.6173115786934671865296369496201
y[1] (numeric) = 2.61731157869346718652963694962
absolute error = 1e-31
relative error = 3.8207143854809555060804499356826e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.129
y[1] (analytic) = 2.6186113364144715270333456568556
y[1] (numeric) = 2.6186113364144715270333456568555
absolute error = 1e-31
relative error = 3.8188179593281989400716764092871e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.13
y[1] (analytic) = 2.6199121940561061263421727608608
y[1] (numeric) = 2.6199121940561061263421727608607
absolute error = 1e-31
relative error = 3.8169218123750017946428524907768e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=408.1MB, alloc=4.5MB, time=21.11
x[1] = 3.131
y[1] (analytic) = 2.6212141516304633418138224559484
y[1] (numeric) = 2.6212141516304633418138224559484
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.132
y[1] (analytic) = 2.6225172091486355981667104977158
y[1] (numeric) = 2.6225172091486355981667104977157
absolute error = 1e-31
relative error = 3.8131303638790471279142677189787e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.133
y[1] (analytic) = 2.6238213666207153763875404089974
y[1] (numeric) = 2.6238213666207153763875404089974
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.134
y[1] (analytic) = 2.6251266240557952036388233342021
y[1] (numeric) = 2.625126624055795203638823334202
absolute error = 1e-31
relative error = 3.8093400555856223322007165787195e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.135
y[1] (analytic) = 2.6264329814619676441663516345117
y[1] (numeric) = 2.6264329814619676441663516345116
absolute error = 1e-31
relative error = 3.8074453338739441639756372930563e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.136
y[1] (analytic) = 2.6277404388463252912066353164697
y[1] (numeric) = 2.6277404388463252912066353164696
absolute error = 1e-31
relative error = 3.8055509030375800091808938777702e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.137
y[1] (analytic) = 2.6290489962149607598943093865202
y[1] (numeric) = 2.6290489962149607598943093865202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.138
y[1] (analytic) = 2.6303586535729666811695192240912
y[1] (numeric) = 2.6303586535729666811695192240912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.139
y[1] (analytic) = 2.6316694109244356966852900658346
y[1] (numeric) = 2.6316694109244356966852900658346
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.14
y[1] (analytic) = 2.632981268272460454714885693655
y[1] (numeric) = 2.6329812682724604547148856936549
absolute error = 1e-31
relative error = 3.7979761270998915809279061830388e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.141
y[1] (analytic) = 2.634294225619133607059160419166
y[1] (numeric) = 2.634294225619133607059160419166
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.142
y[1] (analytic) = 2.6356082829655478069539074572243
y[1] (numeric) = 2.6356082829655478069539074572243
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.143
y[1] (analytic) = 2.63692344031179570797720578119
y[1] (numeric) = 2.6369234403117957079772057811901
absolute error = 1e-31
relative error = 3.7922981938442542343169629468281e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.144
y[1] (analytic) = 2.6382396976569699639567665525696
y[1] (numeric) = 2.6382396976569699639567665525697
absolute error = 1e-31
relative error = 3.7904061594103960607907743737317e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.145
y[1] (analytic) = 2.6395570549991632298772792176922
y[1] (numeric) = 2.6395570549991632298772792176922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.146
y[1] (analytic) = 2.6408755123354681637877563640745
y[1] (numeric) = 2.6408755123354681637877563640745
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.147
y[1] (analytic) = 2.6421950696619774297088754291302
y[1] (numeric) = 2.6421950696619774297088754291302
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.148
y[1] (analytic) = 2.643515726973783701540314353881
y[1] (numeric) = 2.643515726973783701540314353881
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.149
y[1] (analytic) = 2.6448374842649796679680772743346
y[1] (numeric) = 2.6448374842649796679680772743347
absolute error = 1e-31
relative error = 3.7809506480051554474595866312724e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.15
y[1] (analytic) = 2.6461603415286580383718053432053
y[1] (numeric) = 2.6461603415286580383718053432053
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.151
y[1] (analytic) = 2.6474842987569115497320667746644
y[1] (numeric) = 2.6474842987569115497320667746644
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.152
y[1] (analytic) = 2.6488093559408329745376192048341
y[1] (numeric) = 2.6488093559408329745376192048341
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.153
y[1] (analytic) = 2.6501355130705151296926364607608
y[1] (numeric) = 2.6501355130705151296926364607609
absolute error = 1e-31
relative error = 3.7733919456872388161415180125930e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.154
y[1] (analytic) = 2.6514627701350508864238908306427
y[1] (numeric) = 2.6514627701350508864238908306428
absolute error = 1e-31
relative error = 3.7715030784651202800418172243021e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.155
y[1] (analytic) = 2.6527911271225331811878809281299
y[1] (numeric) = 2.6527911271225331811878809281299
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.156
y[1] (analytic) = 2.6541205840200550275778942435707
y[1] (numeric) = 2.6541205840200550275778942435707
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.157
y[1] (analytic) = 2.6554511408137095292309924751421
y[1] (numeric) = 2.6554511408137095292309924751421
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.158
y[1] (analytic) = 2.65678279748858989373490673288
y[1] (numeric) = 2.65678279748858989373490673288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.159
y[1] (analytic) = 2.6581155540287894475348287087152
y[1] (numeric) = 2.6581155540287894475348287087152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
memory used=412.0MB, alloc=4.5MB, time=21.30
TOP MAIN SOLVE Loop
x[1] = 3.16
y[1] (analytic) = 2.659449410417401651840082905726
y[1] (numeric) = 2.659449410417401651840082905726
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.161
y[1] (analytic) = 2.6607843666365201195306640199353
y[1] (numeric) = 2.6607843666365201195306640199352
absolute error = 1e-31
relative error = 3.7582902716167615316932327479829e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.162
y[1] (analytic) = 2.6621204226672386330636225681169
y[1] (numeric) = 2.6621204226672386330636225681168
absolute error = 1e-31
relative error = 3.7564040735545591636375765794311e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.163
y[1] (analytic) = 2.6634575784896511633792808552272
y[1] (numeric) = 2.6634575784896511633792808552271
absolute error = 1e-31
relative error = 3.7545182175083232306951147871474e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.164
y[1] (analytic) = 2.6647958340828518898072603752472
y[1] (numeric) = 2.664795834082851889807260375247
absolute error = 2e-31
relative error = 7.5052654106551618757980074728885e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.165
y[1] (analytic) = 2.6661351894249352209723007394088
y[1] (numeric) = 2.6661351894249352209723007394087
absolute error = 1e-31
relative error = 3.7507475388586438501726661773028e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.166
y[1] (analytic) = 2.6674756444929958166998492259902
y[1] (numeric) = 2.66747564449299581669984922599
absolute error = 2e-31
relative error = 7.4977254398892096213533722549454e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.167
y[1] (analytic) = 2.6688171992631286109213990460894
y[1] (numeric) = 2.6688171992631286109213990460892
absolute error = 2e-31
relative error = 7.4939565008506697785357666500431e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.168
y[1] (analytic) = 2.6701598537104288355795534200429
y[1] (numeric) = 2.6701598537104288355795534200427
absolute error = 2e-31
relative error = 7.4901882642749607220386529080383e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.169
y[1] (analytic) = 2.671503607808992045532791559425
y[1] (numeric) = 2.6715036078089920455327915594248
absolute error = 2e-31
relative error = 7.4864207338289194294996286012129e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.17
y[1] (analytic) = 2.6728484615319141444599116498647
y[1] (numeric) = 2.6728484615319141444599116498645
absolute error = 2e-31
relative error = 7.4826539131729213830222511413813e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.171
y[1] (analytic) = 2.6741944148512914117641249302399
y[1] (numeric) = 2.6741944148512914117641249302396
absolute error = 3e-31
relative error = 1.1218331708941312058943333880828e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.172
y[1] (analytic) = 2.6755414677382205304767739641558
y[1] (numeric) = 2.6755414677382205304767739641555
absolute error = 3e-31
relative error = 1.1212683623760321539131435640832e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.173
y[1] (analytic) = 2.6768896201627986161606471999931
y[1] (numeric) = 2.6768896201627986161606471999928
absolute error = 3e-31
relative error = 1.1207036619677844597512671994481e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.174
y[1] (analytic) = 2.6782388720941232468128609162123
y[1] (numeric) = 2.678238872094123246812860916212
absolute error = 3e-31
relative error = 1.1201390702145588430655361402479e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.175
y[1] (analytic) = 2.6795892235002924937672786490358
y[1] (numeric) = 2.6795892235002924937672786490355
absolute error = 3e-31
relative error = 1.1195745876605524911759318115892e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.176
y[1] (analytic) = 2.6809406743484049535964372000902
y[1] (numeric) = 2.6809406743484049535964372000899
absolute error = 3e-31
relative error = 1.1190102148489882242062619533486e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.177
y[1] (analytic) = 2.6822932246045597810129473220864
y[1] (numeric) = 2.6822932246045597810129473220861
absolute error = 3e-31
relative error = 1.1184459523221136691017214599539e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.178
y[1] (analytic) = 2.6836468742338567227703361811379
y[1] (numeric) = 2.6836468742338567227703361811377
absolute error = 2e-31
relative error = 7.4525453374746696167153118113164e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.179
y[1] (analytic) = 2.68500162320039615256329769488
y[1] (numeric) = 2.6850016232003961525632976948798
absolute error = 2e-31
relative error = 7.4487850685769556166060606212793e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.18
y[1] (analytic) = 2.6863574714672791069273158461397
y[1] (numeric) = 2.6863574714672791069273158461395
absolute error = 2e-31
relative error = 7.4450255457163969939675201624200e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.181
y[1] (analytic) = 2.6877144189966073221376250725388
y[1] (numeric) = 2.6877144189966073221376250725386
absolute error = 2e-31
relative error = 7.4412667724819188913414932021009e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.182
y[1] (analytic) = 2.6890724657494832721074708330708
y[1] (numeric) = 2.6890724657494832721074708330705
absolute error = 3e-31
relative error = 1.1156263128683877771892650479941e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.183
y[1] (analytic) = 2.6904316116860102072856324533946
y[1] (numeric) = 2.6904316116860102072856324533943
absolute error = 3e-31
relative error = 1.1150627233821389968779016792784e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.184
y[1] (analytic) = 2.6917918567652921945531693523267
y[1] (numeric) = 2.6917918567652921945531693523264
absolute error = 3e-31
relative error = 1.1144992479489403822274208514261e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.185
y[1] (analytic) = 2.6931532009454341581193507527873
y[1] (numeric) = 2.6931532009454341581193507527871
absolute error = 2e-31
relative error = 7.4262392473547289285972669076245e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.186
y[1] (analytic) = 2.6945156441835419214167279812749
y[1] (numeric) = 2.6945156441835419214167279812747
absolute error = 2e-31
relative error = 7.4224842758558736259183367158226e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.187
y[1] (analytic) = 2.6958791864357222499953074608001
y[1] (numeric) = 2.6958791864357222499953074607999
absolute error = 2e-31
relative error = 7.4187300753793846900703945643798e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=415.8MB, alloc=4.5MB, time=21.49
x[1] = 3.188
y[1] (analytic) = 2.6972438276570828954157815031101
y[1] (numeric) = 2.6972438276570828954157815031099
absolute error = 2e-31
relative error = 7.4149766494683855193514556869634e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.189
y[1] (analytic) = 2.6986095678017326401417730069758
y[1] (numeric) = 2.6986095678017326401417730069755
absolute error = 3e-31
relative error = 1.1116836002489155083359732214096e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.19
y[1] (analytic) = 2.6999764068227813434310491703005
y[1] (numeric) = 2.6999764068227813434310491703003
absolute error = 2e-31
relative error = 7.4074721354825313702906558540085e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.191
y[1] (analytic) = 2.7013443446723399882256583248418
y[1] (numeric) = 2.7013443446723399882256583248416
absolute error = 2e-31
relative error = 7.4037210544610903086769051700917e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.192
y[1] (analytic) = 2.7027133813015207290409430034112
y[1] (numeric) = 2.702713381301520729040943003411
absolute error = 2e-31
relative error = 7.3999707621119575242619261518769e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.193
y[1] (analytic) = 2.7040835166604369408533813505453
y[1] (numeric) = 2.704083516660436940853381350545
absolute error = 3e-31
relative error = 1.1094331892918093356636204877754e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.194
y[1] (analytic) = 2.7054547506982032689872079888083
y[1] (numeric) = 2.7054547506982032689872079888081
absolute error = 2e-31
relative error = 7.3924725574650810531869567018278e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.195
y[1] (analytic) = 2.7068270833629356799997644541121
y[1] (numeric) = 2.7068270833629356799997644541119
absolute error = 2e-31
relative error = 7.3887246521681001645402657130807e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.196
y[1] (analytic) = 2.7082005146017515135655283147048
y[1] (numeric) = 2.7082005146017515135655283147046
absolute error = 2e-31
relative error = 7.3849775495449442861725575341088e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.197
y[1] (analytic) = 2.7095750443607695353587690898052
y[1] (numeric) = 2.709575044360769535358769089805
absolute error = 2e-31
relative error = 7.3812312530795056401659424989369e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.198
y[1] (analytic) = 2.7109506725851099909347780852306
y[1] (numeric) = 2.7109506725851099909347780852304
absolute error = 2e-31
relative error = 7.3774857662490730005391077587099e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.199
y[1] (analytic) = 2.7123273992188946606096182647927
y[1] (numeric) = 2.7123273992188946606096182647925
absolute error = 2e-31
relative error = 7.3737410925243274608563180867207e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.2
y[1] (analytic) = 2.7137052242052469153383392777164
y[1] (numeric) = 2.7137052242052469153383392777162
absolute error = 2e-31
relative error = 7.3699972353693382584535109755437e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.201
y[1] (analytic) = 2.7150841474862917735916017638715
y[1] (numeric) = 2.7150841474862917735916017638713
absolute error = 2e-31
relative error = 7.3662541982415586551655152006935e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.202
y[1] (analytic) = 2.7164641690031559592306540601968
y[1] (numeric) = 2.7164641690031559592306540601966
absolute error = 2e-31
relative error = 7.3625119845918218744380671033748e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.203
y[1] (analytic) = 2.7178452886959679603806034333456
y[1] (numeric) = 2.7178452886959679603806034333454
absolute error = 2e-31
relative error = 7.3587705978643370947079470406904e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.204
y[1] (analytic) = 2.7192275065038580893019229652863
y[1] (numeric) = 2.7192275065038580893019229652861
absolute error = 2e-31
relative error = 7.3550300414966854989342097603710e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.205
y[1] (analytic) = 2.7206108223649585432601342203549
y[1] (numeric) = 2.7206108223649585432601342203548
absolute error = 1e-31
relative error = 3.6756451594599081900815684369048e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.206
y[1] (analytic) = 2.7219952362164034663936048240841
y[1] (numeric) = 2.721995236216403466393604824084
absolute error = 1e-31
relative error = 3.6737757167790216515045985605091e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.207
y[1] (analytic) = 2.7233807479943290125793990860139
y[1] (numeric) = 2.7233807479943290125793990860138
absolute error = 1e-31
relative error = 3.6719066944145201604669803695710e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.208
y[1] (analytic) = 2.7247673576338734092971188006407
y[1] (numeric) = 2.7247673576338734092971188006405
absolute error = 2e-31
relative error = 7.3400761881438382492045779572951e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.209
y[1] (analytic) = 2.7261550650691770224906703626676
y[1] (numeric) = 2.7261550650691770224906703626674
absolute error = 2e-31
relative error = 7.3363398349068209934130984397038e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.21
y[1] (analytic) = 2.7275438702333824224278933347958
y[1] (numeric) = 2.7275438702333824224278933347956
absolute error = 2e-31
relative error = 7.3326043325157219334375783812847e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.211
y[1] (analytic) = 2.7289337730586344505579846084323
y[1] (numeric) = 2.7289337730586344505579846084322
absolute error = 1e-31
relative error = 3.6644348421808101813627974598420e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.212
y[1] (analytic) = 2.7303247734760802873666512998972
y[1] (numeric) = 2.7303247734760802873666512998971
absolute error = 1e-31
relative error = 3.6625679469144689913902317801034e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.213
y[1] (analytic) = 2.7317168714158695212289245269811
y[1] (numeric) = 2.731716871415869521228924526981
absolute error = 1e-31
relative error = 3.6607014821477177263650667048480e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.214
y[1] (analytic) = 2.7331100668071542182595652130472
y[1] (numeric) = 2.7331100668071542182595652130471
absolute error = 1e-31
relative error = 3.6588354495661044969292085884490e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.215
y[1] (analytic) = 2.7345043595780889931609920682757
y[1] (numeric) = 2.7345043595780889931609920682756
absolute error = 1e-31
relative error = 3.6569698508518435244889490574127e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=419.6MB, alloc=4.5MB, time=21.71
x[1] = 3.216
y[1] (analytic) = 2.7358997496558310810686609001299
y[1] (numeric) = 2.7358997496558310810686609001298
absolute error = 1e-31
relative error = 3.6551046876838134982617721747915e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.217
y[1] (analytic) = 2.7372962369665404103938234076703
y[1] (numeric) = 2.7372962369665404103938234076702
absolute error = 1e-31
relative error = 3.6532399617375559596228761773007e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.218
y[1] (analytic) = 2.7386938214353796766635926169639
y[1] (numeric) = 2.7386938214353796766635926169637
absolute error = 2e-31
relative error = 7.3027513493705474273812356836506e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.219
y[1] (analytic) = 2.7400925029865144173582411175288
y[1] (numeric) = 2.7400925029865144173582411175287
absolute error = 1e-31
relative error = 3.6495118281958292680899362323759e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.22
y[1] (analytic) = 2.7414922815431130877456572625241
y[1] (numeric) = 2.741492281543113087745657262524
absolute error = 1e-31
relative error = 3.6476484239347432988326627872701e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.221
y[1] (analytic) = 2.7428931570273471377128834982324
y[1] (numeric) = 2.7428931570273471377128834982323
absolute error = 1e-31
relative error = 3.6457854635641931432534764265142e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.222
y[1] (analytic) = 2.7442951293603910895946599913053
y[1] (numeric) = 2.7442951293603910895946599913052
absolute error = 1e-31
relative error = 3.6439229487430113199401155881477e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.223
y[1] (analytic) = 2.7456981984624226169988957252335
y[1] (numeric) = 2.7456981984624226169988957252334
absolute error = 1e-31
relative error = 3.6420608811266840755963138368056e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.224
y[1] (analytic) = 2.7471023642526226246289882405778
y[1] (numeric) = 2.7471023642526226246289882405777
absolute error = 1e-31
relative error = 3.6401992623673499587757819249937e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.225
y[1] (analytic) = 2.7485076266491753291029121966469
y[1] (numeric) = 2.7485076266491753291029121966468
absolute error = 1e-31
relative error = 3.6383380941137984204254169246286e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.226
y[1] (analytic) = 2.7499139855692683407689959355411
y[1] (numeric) = 2.749913985569268340768995935541
absolute error = 1e-31
relative error = 3.6364773780114684411757782802619e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.227
y[1] (analytic) = 2.7513214409290927465183042327918
y[1] (numeric) = 2.7513214409290927465183042327917
absolute error = 1e-31
relative error = 3.6346171157024471853167313631038e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.228
y[1] (analytic) = 2.7527299926438431935935444222206
y[1] (numeric) = 2.7527299926438431935935444222205
absolute error = 1e-31
relative error = 3.6327573088254686813960213234433e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.229
y[1] (analytic) = 2.75413964062771797439441208612
y[1] (numeric) = 2.7541396406277179743944120861199
absolute error = 1e-31
relative error = 3.6308979590159125293784037452774e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.23
y[1] (analytic) = 2.755550384793919112279291505415
y[1] (numeric) = 2.755550384793919112279291505415
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.231
y[1] (analytic) = 2.7569622250546524483632250681153
y[1] (numeric) = 2.7569622250546524483632250681152
absolute error = 1e-31
relative error = 3.6271806371238059663750022512096e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.232
y[1] (analytic) = 2.7583751613211277293120648380921
y[1] (numeric) = 2.758375161321127729312064838092
absolute error = 1e-31
relative error = 3.6253226682952313474326548738655e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.233
y[1] (analytic) = 2.7597891935035586961327184900396
y[1] (numeric) = 2.7597891935035586961327184900395
absolute error = 1e-31
relative error = 3.6234651630420282637204413566148e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.234
y[1] (analytic) = 2.7612043215111631739594008203786
y[1] (numeric) = 2.7612043215111631739594008203785
absolute error = 1e-31
relative error = 3.6216081229827857049116110051238e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.235
y[1] (analytic) = 2.762620545252163162835801047861
y[1] (numeric) = 2.7626205452521631628358010478609
absolute error = 1e-31
relative error = 3.6197515497327310293131850108969e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.236
y[1] (analytic) = 2.7640378646337849294930751217142
y[1] (numeric) = 2.7640378646337849294930751217141
absolute error = 1e-31
relative error = 3.6178954449037288551913891432972e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.237
y[1] (analytic) = 2.7654562795622591001235712593408
y[1] (numeric) = 2.7654562795622591001235712593407
absolute error = 1e-31
relative error = 3.6160398101042799781539262006804e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.238
y[1] (analytic) = 2.7668757899428207541501959398563
y[1] (numeric) = 2.7668757899428207541501959398562
absolute error = 1e-31
relative error = 3.6141846469395203145255545133542e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.239
y[1] (analytic) = 2.7682963956797095189913265841061
y[1] (numeric) = 2.7682963956797095189913265841061
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.24
y[1] (analytic) = 2.7697180966761696658211761562575
y[1] (numeric) = 2.7697180966761696658211761562575
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.241
y[1] (analytic) = 2.7711408928344502063255139266092
y[1] (numeric) = 2.7711408928344502063255139266092
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.242
y[1] (analytic) = 2.772564784055804990452645639907
y[1] (numeric) = 2.7725647840558049904526456399069
absolute error = 1e-31
relative error = 3.6067687426122643505211677926821e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.243
y[1] (analytic) = 2.7739897702404928051595553381921
y[1] (numeric) = 2.773989770240492805159555338192
absolute error = 1e-31
relative error = 3.6049159615801480219716651602781e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=423.4MB, alloc=4.5MB, time=21.91
x[1] = 3.244
y[1] (analytic) = 2.7754158512877774741531100920501
y[1] (numeric) = 2.77541585128777747415311009205
absolute error = 1e-31
relative error = 3.6030636617428180279607389117560e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.245
y[1] (analytic) = 2.7768430270959279586262278990623
y[1] (numeric) = 2.7768430270959279586262278990623
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.246
y[1] (analytic) = 2.778271297562218458988908013302
y[1] (numeric) = 2.7782712975622184589889080133019
absolute error = 1e-31
relative error = 3.5993605119753620229736998850033e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.247
y[1] (analytic) = 2.7797006625829285175940219748515
y[1] (numeric) = 2.7797006625829285175940219748514
absolute error = 1e-31
relative error = 3.5975096651982266656868650351363e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.248
y[1] (analytic) = 2.7811311220533431224577626135602
y[1] (numeric) = 2.78113112205334312245776261356
absolute error = 2e-31
relative error = 7.1913186118437146490842919997495e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.249
y[1] (analytic) = 2.7825626758677528119746473066002
y[1] (numeric) = 2.7825626758677528119746473066001
absolute error = 1e-31
relative error = 3.5938094357143138766704989506227e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.25
y[1] (analytic) = 2.7839953239194537806269707748284
y[1] (numeric) = 2.7839953239194537806269707748283
absolute error = 1e-31
relative error = 3.5919600561402806446168561941565e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.251
y[1] (analytic) = 2.7854290661007479856886017085073
y[1] (numeric) = 2.7854290661007479856886017085072
absolute error = 1e-31
relative error = 3.5901111687610656717937655794442e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.252
y[1] (analytic) = 2.7868639023029432549230165186004
y[1] (numeric) = 2.7868639023029432549230165186003
absolute error = 1e-31
relative error = 3.5882627751346000230267535204910e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.253
y[1] (analytic) = 2.7882998324163533952754625156147
y[1] (numeric) = 2.7882998324163533952754625156146
absolute error = 1e-31
relative error = 3.5864148768154371101262050740547e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.254
y[1] (analytic) = 2.7897368563302983025591418238379
y[1] (numeric) = 2.7897368563302983025591418238378
absolute error = 1e-31
relative error = 3.5845674753547520424204543530315e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.255
y[1] (analytic) = 2.7911749739331040721353063447943
y[1] (numeric) = 2.7911749739331040721353063447942
absolute error = 1e-31
relative error = 3.5827205723003410021846797989384e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.256
y[1] (analytic) = 2.7926141851121031105871530898346
y[1] (numeric) = 2.7926141851121031105871530898345
absolute error = 1e-31
relative error = 3.5808741691966206449001014765897e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.257
y[1] (analytic) = 2.7940544897536342483874082079731
y[1] (numeric) = 2.794054489753634248387408207973
absolute error = 1e-31
relative error = 3.5790282675846275242778815871370e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.258
y[1] (analytic) = 2.7954958877430428535594870413977
y[1] (numeric) = 2.7954958877430428535594870413976
absolute error = 1e-31
relative error = 3.5771828690020175419820348184734e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.259
y[1] (analytic) = 2.7969383789646809463321165475023
y[1] (numeric) = 2.7969383789646809463321165475022
absolute error = 1e-31
relative error = 3.5753379749830654219855619608985e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.26
y[1] (analytic) = 2.7983819633019073147873054328283
y[1] (numeric) = 2.7983819633019073147873054328283
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.261
y[1] (analytic) = 2.7998266406370876315015463509557
y[1] (numeric) = 2.7998266406370876315015463509556
absolute error = 1e-31
relative error = 3.5716497067563247943699187265297e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.262
y[1] (analytic) = 2.8012724108515945711801335231494
y[1] (numeric) = 2.8012724108515945711801335231493
absolute error = 1e-31
relative error = 3.5698063356001754589938094454301e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.263
y[1] (analytic) = 2.8027192738258079292844781474555
y[1] (numeric) = 2.8027192738258079292844781474555
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.264
y[1] (analytic) = 2.80416722943911474165230296894
y[1] (numeric) = 2.80416722943911474165230296894
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.265
y[1] (analytic) = 2.8056162775699094051105963908856
y[1] (numeric) = 2.8056162775699094051105963908856
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.266
y[1] (analytic) = 2.807066418095593799081205514004
y[1] (numeric) = 2.8070664180955937990812055140039
absolute error = 1e-31
relative error = 3.5624379728016300254811939778559e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.267
y[1] (analytic) = 2.8085176508925774081789464980783
y[1] (numeric) = 2.8085176508925774081789464980782
absolute error = 1e-31
relative error = 3.5605971701199354778222798590629e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.268
y[1] (analytic) = 2.8099699758362774458021096479385
y[1] (numeric) = 2.8099699758362774458021096479384
absolute error = 1e-31
relative error = 3.5587568856581436893933847885109e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.269
y[1] (analytic) = 2.8114233928011189787152356332718
y[1] (numeric) = 2.8114233928011189787152356332718
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.27
y[1] (analytic) = 2.8128779016605350526240382595053
y[1] (numeric) = 2.8128779016605350526240382595052
absolute error = 1e-31
relative error = 3.5550778773926406723097569168484e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.271
y[1] (analytic) = 2.8143335022869668187423482148454
y[1] (numeric) = 2.8143335022869668187423482148454
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.272
y[1] (analytic) = 2.8157901945518636613509512265445
y[1] (numeric) = 2.8157901945518636613509512265445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
memory used=427.2MB, alloc=4.5MB, time=22.11
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.273
y[1] (analytic) = 2.8172479783256833263481930675635
y[1] (numeric) = 2.8172479783256833263481930675634
absolute error = 1e-31
relative error = 3.5495632890446133176497101534882e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.274
y[1] (analytic) = 2.8187068534778920507922228630387
y[1] (numeric) = 2.8187068534778920507922228630386
absolute error = 1e-31
relative error = 3.5477261452929705836198762287903e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.275
y[1] (analytic) = 2.8201668198769646934347451543198
y[1] (numeric) = 2.8201668198769646934347451543197
absolute error = 1e-31
relative error = 3.5458895301932066576805724774244e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.276
y[1] (analytic) = 2.8216278773903848662461501868369
y[1] (numeric) = 2.8216278773903848662461501868368
absolute error = 1e-31
relative error = 3.5440534452220593686095689915244e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.277
y[1] (analytic) = 2.8230900258846450669318908966785
y[1] (numeric) = 2.8230900258846450669318908966785
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.278
y[1] (analytic) = 2.8245532652252468124399740795138
y[1] (numeric) = 2.8245532652252468124399740795138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.279
y[1] (analytic) = 2.8260175952767007734594322343791
y[1] (numeric) = 2.826017595276700773459432234379
absolute error = 1e-31
relative error = 3.5385483857968976745618503486712e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.28
y[1] (analytic) = 2.8274830159025269099096415838683
y[1] (numeric) = 2.8274830159025269099096415838682
absolute error = 1e-31
relative error = 3.5367144360398642567294504473991e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.281
y[1] (analytic) = 2.8289495269652546074203507814207
y[1] (numeric) = 2.8289495269652546074203507814206
absolute error = 1e-31
relative error = 3.5348810237443380264636122494151e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.282
y[1] (analytic) = 2.8304171283264228148022838256878
y[1] (numeric) = 2.8304171283264228148022838256877
absolute error = 1e-31
relative error = 3.5330481503667372090341897909166e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.283
y[1] (analytic) = 2.8318858198465801825081797113889
y[1] (numeric) = 2.8318858198465801825081797113888
absolute error = 1e-31
relative error = 3.5312158173600934539880617585266e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.284
y[1] (analytic) = 2.8333556013852852020841303556269
y[1] (numeric) = 2.8333556013852852020841303556268
absolute error = 1e-31
relative error = 3.5293840261740519037105603292943e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.285
y[1] (analytic) = 2.8348264728011063466110773483373
y[1] (numeric) = 2.8348264728011063466110773483372
absolute error = 1e-31
relative error = 3.5275527782548712848814134435007e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.286
y[1] (analytic) = 2.8362984339516222121363270853868
y[1] (numeric) = 2.8362984339516222121363270853867
absolute error = 1e-31
relative error = 3.5257220750454240227574078332577e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.287
y[1] (analytic) = 2.8377714846934216600949428528168
y[1] (numeric) = 2.8377714846934216600949428528167
absolute error = 1e-31
relative error = 3.5238919179851963782139241907617e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.288
y[1] (analytic) = 2.8392456248821039607208714408524
y[1] (numeric) = 2.8392456248821039607208714408523
absolute error = 1e-31
relative error = 3.5220623085102886074774411935462e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.289
y[1] (analytic) = 2.8407208543722789374476608765618
y[1] (numeric) = 2.8407208543722789374476608765617
absolute error = 1e-31
relative error = 3.5202332480534151444810517060637e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.29
y[1] (analytic) = 2.8421971730175671122986248744605
y[1] (numeric) = 2.8421971730175671122986248744604
absolute error = 1e-31
relative error = 3.5184047380439048057749823432676e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.291
y[1] (analytic) = 2.8436745806705998522663086149085
y[1] (numeric) = 2.8436745806705998522663086149084
absolute error = 1e-31
relative error = 3.5165767799077010179240567084308e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.292
y[1] (analytic) = 2.8451530771830195166811094708458
y[1] (numeric) = 2.8451530771830195166811094708457
absolute error = 1e-31
relative error = 3.5147493750673620673239930000553e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.293
y[1] (analytic) = 2.8466326624054796055689053142588
y[1] (numeric) = 2.8466326624054796055689053142587
absolute error = 1e-31
relative error = 3.5129225249420613723683783172398e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.294
y[1] (analytic) = 2.8481133361876449089975420447612
y[1] (numeric) = 2.8481133361876449089975420447611
absolute error = 1e-31
relative error = 3.5110962309475877778981148750962e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.295
y[1] (analytic) = 2.8495950983781916574120309938144
y[1] (numeric) = 2.8495950983781916574120309938143
absolute error = 1e-31
relative error = 3.5092704944963458718650874675471e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.296
y[1] (analytic) = 2.8510779488248076729583058694025
y[1] (numeric) = 2.8510779488248076729583058694024
absolute error = 1e-31
relative error = 3.5074453169973563241417568798941e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.297
y[1] (analytic) = 2.8525618873741925217953879174173
y[1] (numeric) = 2.8525618873741925217953879174172
absolute error = 1e-31
relative error = 3.5056206998562562474083405537160e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.298
y[1] (analytic) = 2.8540469138720576673958069876014
y[1] (numeric) = 2.8540469138720576673958069876014
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.299
y[1] (analytic) = 2.8555330281631266248341252036411
y[1] (numeric) = 2.8555330281631266248341252036411
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.3
y[1] (analytic) = 2.8570202300911351160634089488972
y[1] (numeric) = 2.8570202300911351160634089488971
absolute error = 1e-31
relative error = 3.5001502245859188064072599832057e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=431.0MB, alloc=4.5MB, time=22.30
TOP MAIN SOLVE Loop
x[1] = 3.301
y[1] (analytic) = 2.8585085194988312261794938913158
y[1] (numeric) = 2.8585085194988312261794938913157
absolute error = 1e-31
relative error = 3.4983278628650904582415619426427e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.302
y[1] (analytic) = 2.8599978962279755606728867832673
y[1] (numeric) = 2.8599978962279755606728867832672
absolute error = 1e-31
relative error = 3.4965060684795979544462617977627e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.303
y[1] (analytic) = 2.8614883601193414036681467844236
y[1] (numeric) = 2.8614883601193414036681467844235
absolute error = 1e-31
relative error = 3.4946848428147858709027516521931e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.304
y[1] (analytic) = 2.8629799110127148771505880683064
y[1] (numeric) = 2.8629799110127148771505880683063
absolute error = 1e-31
relative error = 3.4928641872526183649338901416926e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.305
y[1] (analytic) = 2.8644725487468951011801444858169
y[1] (numeric) = 2.8644725487468951011801444858168
absolute error = 1e-31
relative error = 3.4910441031716797103468842590810e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.306
y[1] (analytic) = 2.8659662731596943550922360718959
y[1] (numeric) = 2.8659662731596943550922360718958
absolute error = 1e-31
relative error = 3.4892245919471748539369588552393e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.307
y[1] (analytic) = 2.8674610840879382396854761944607
y[1] (numeric) = 2.8674610840879382396854761944606
absolute error = 1e-31
relative error = 3.4874056549509299933831081168644e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.308
y[1] (analytic) = 2.8689569813674658403960571579256
y[1] (numeric) = 2.8689569813674658403960571579255
absolute error = 1e-31
relative error = 3.4855872935513931764671932269917e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.309
y[1] (analytic) = 2.870453964833129891458651086934
y[1] (numeric) = 2.8704539648331298914586510869339
absolute error = 1e-31
relative error = 3.4837695091136349215476215034030e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.31
y[1] (analytic) = 2.8719520343187969410536619294145
y[1] (numeric) = 2.8719520343187969410536619294143
absolute error = 2e-31
relative error = 6.9639046059986977184376291571317e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.311
y[1] (analytic) = 2.8734511896573475174406634317227
y[1] (numeric) = 2.8734511896573475174406634317225
absolute error = 2e-31
relative error = 6.9602713531337047901752932567299e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.312
y[1] (analytic) = 2.874951430680676296077856952446
y[1] (numeric) = 2.8749514306806762960778569524458
absolute error = 2e-31
relative error = 6.9566392623421747871960165424550e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.313
y[1] (analytic) = 2.8764527572196922677273819954252
y[1] (numeric) = 2.8764527572196922677273819954249
absolute error = 3e-31
relative error = 1.0429512504490862648503882619872e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.314
y[1] (analytic) = 2.8779551691043189075463113566979
y[1] (numeric) = 2.8779551691043189075463113566977
absolute error = 2e-31
relative error = 6.9493785777852915604745125425885e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.315
y[1] (analytic) = 2.879458666163494345163161794383
y[1] (numeric) = 2.8794586661634943451631617943828
absolute error = 2e-31
relative error = 6.9457499894059632783126167170726e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.316
y[1] (analytic) = 2.880963248225171535739750145008
y[1] (numeric) = 2.8809632482251715357397501450078
absolute error = 2e-31
relative error = 6.9421225738721508323620311322487e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.317
y[1] (analytic) = 2.8824689151163184320182238244391
y[1] (numeric) = 2.8824689151163184320182238244389
absolute error = 2e-31
relative error = 6.9384963338600045183422940149396e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.318
y[1] (analytic) = 2.8839756666629181573530936663971
y[1] (numeric) = 2.8839756666629181573530936663969
absolute error = 2e-31
relative error = 6.9348712720389326318466398682897e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.319
y[1] (analytic) = 2.8854835026899691797280960665405
y[1] (numeric) = 2.8854835026899691797280960665403
absolute error = 2e-31
relative error = 6.9312473910716031268058243428230e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.32
y[1] (analytic) = 2.8869924230214854867577104152688
y[1] (numeric) = 2.8869924230214854867577104152686
absolute error = 2e-31
relative error = 6.9276246936139453149451407150806e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.321
y[1] (analytic) = 2.8885024274804967616731568177422
y[1] (numeric) = 2.888502427480496761673156817742
absolute error = 2e-31
relative error = 6.9240031823151516060965861960837e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.322
y[1] (analytic) = 2.8900135158890485602926981151361
y[1] (numeric) = 2.8900135158890485602926981151358
absolute error = 3e-31
relative error = 1.0380574289726518933842162679098e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.323
y[1] (analytic) = 2.8915256880682024889760692368411
y[1] (numeric) = 2.8915256880682024889760692368408
absolute error = 3e-31
relative error = 1.0375145593135878531077755696185e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.324
y[1] (analytic) = 2.8930389438380363835628559291965
y[1] (numeric) = 2.8930389438380363835628559291961
absolute error = 4e-31
relative error = 1.3826291583525726706146363618842e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.325
y[1] (analytic) = 2.8945532830176444892946439223906
y[1] (numeric) = 2.8945532830176444892946439223903
absolute error = 3e-31
relative error = 1.0364293577185162955913985028159e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.326
y[1] (analytic) = 2.8960687054251376417207586133967
y[1] (numeric) = 2.8960687054251376417207586133964
absolute error = 3e-31
relative error = 1.0358870265681785447958410057450e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.327
y[1] (analytic) = 2.8975852108776434485874143592172
y[1] (numeric) = 2.8975852108776434485874143592169
absolute error = 3e-31
relative error = 1.0353448757047377229017489733135e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.328
y[1] (analytic) = 2.8991027991913064727100914913039
y[1] (numeric) = 2.8991027991913064727100914913036
absolute error = 3e-31
relative error = 1.0348029055185067641318573339284e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=434.8MB, alloc=4.5MB, time=22.49
TOP MAIN SOLVE Loop
x[1] = 3.329
y[1] (analytic) = 2.900621470181288415828958178792
y[1] (numeric) = 2.9006214701812884158289581787917
absolute error = 3e-31
relative error = 1.0342611163987903739313401599235e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.33
y[1] (analytic) = 2.9021412236617683034471532851407
y[1] (numeric) = 2.9021412236617683034471532851404
absolute error = 3e-31
relative error = 1.0337195087338853442367273602879e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.331
y[1] (analytic) = 2.9036620594459426706517453799136
y[1] (numeric) = 2.9036620594459426706517453799133
absolute error = 3e-31
relative error = 1.0331780829110808746658566233655e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.332
y[1] (analytic) = 2.9051839773460257489171820847554
y[1] (numeric) = 2.9051839773460257489171820847551
absolute error = 3e-31
relative error = 1.0326368393166588996081267063668e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.333
y[1] (analytic) = 2.9067069771732496538910429501307
y[1] (numeric) = 2.9067069771732496538910429501303
absolute error = 4e-31
relative error = 1.3761277044478592282590901637291e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.334
y[1] (analytic) = 2.9082310587378645741619080770877
y[1] (numeric) = 2.9082310587378645741619080770873
absolute error = 4e-31
relative error = 1.3754065338040744641669907401598e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.335
y[1] (analytic) = 2.9097562218491389610091537161949
y[1] (numeric) = 2.9097562218491389610091537161945
absolute error = 4e-31
relative error = 1.3746856076685404537846672223944e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.336
y[1] (analytic) = 2.9112824663153597191344850938691
y[1] (numeric) = 2.9112824663153597191344850938687
absolute error = 4e-31
relative error = 1.3739649265509322126567792051919e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.337
y[1] (analytic) = 2.9128097919438323983750157345797
y[1] (numeric) = 2.9128097919438323983750157345793
absolute error = 4e-31
relative error = 1.3732444909595840336635074805989e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.338
y[1] (analytic) = 2.9143381985408813863977015658648
y[1] (numeric) = 2.9143381985408813863977015658644
absolute error = 4e-31
relative error = 1.3725243014014899697627424429877e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.339
y[1] (analytic) = 2.9158676859118501023749371117415
y[1] (numeric) = 2.9158676859118501023749371117411
absolute error = 4e-31
relative error = 1.3718043583823043244058280658195e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.34
y[1] (analytic) = 2.9173982538611011916411200989301
y[1] (numeric) = 2.9173982538611011916411200989297
absolute error = 4e-31
relative error = 1.3710846624063421495992223433415e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.341
y[1] (analytic) = 2.9189299021920167213299898193441
y[1] (numeric) = 2.9189299021920167213299898193437
absolute error = 4e-31
relative error = 1.3703652139765797515844377464294e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.342
y[1] (analytic) = 2.9204626307069983769925436115237
y[1] (numeric) = 2.9204626307069983769925436115233
absolute error = 4e-31
relative error = 1.3696460135946552041086283126222e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.343
y[1] (analytic) = 2.9219964392074676601953348431127
y[1] (numeric) = 2.9219964392074676601953348431123
absolute error = 4e-31
relative error = 1.3689270617608688692581934742345e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.344
y[1] (analytic) = 2.9235313274938660870989547960978
y[1] (numeric) = 2.9235313274938660870989547960973
absolute error = 5e-31
relative error = 1.7102604487177299072847157793392e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.345
y[1] (analytic) = 2.9250672953656553880164998763437
y[1] (numeric) = 2.9250672953656553880164998763432
absolute error = 5e-31
relative error = 1.7093623821652836314962608973627e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.346
y[1] (analytic) = 2.9266043426213177079518245889752
y[1] (numeric) = 2.9266043426213177079518245889747
absolute error = 5e-31
relative error = 1.7084646281641102933593299269266e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.347
y[1] (analytic) = 2.9281424690583558081173797413686
y[1] (numeric) = 2.9281424690583558081173797413681
absolute error = 5e-31
relative error = 1.7075671873329034854650944435658e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.348
y[1] (analytic) = 2.9296816744732932684314343559314
y[1] (numeric) = 2.9296816744732932684314343559309
absolute error = 5e-31
relative error = 1.7066700602886880566369319849846e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.349
y[1] (analytic) = 2.9312219586616746909944787954657
y[1] (numeric) = 2.9312219586616746909944787954652
absolute error = 5e-31
relative error = 1.7057732476468208189700799452271e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.35
y[1] (analytic) = 2.9327633214180659045446056247285
y[1] (numeric) = 2.9327633214180659045446056247279
absolute error = 6e-31
relative error = 2.0458521000251895169001563494422e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.351
y[1] (analytic) = 2.9343057625360541698916637528252
y[1] (numeric) = 2.9343057625360541698916637528246
absolute error = 6e-31
relative error = 2.0447766816278667462590570595286e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.352
y[1] (analytic) = 2.9358492818082483863299804223
y[1] (numeric) = 2.9358492818082483863299804222995
absolute error = 5e-31
relative error = 1.7030847022638709284654014112824e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.353
y[1] (analytic) = 2.9373938790262792990294446322175
y[1] (numeric) = 2.937393879026279299029444632217
absolute error = 5e-31
relative error = 1.7021891533516291031375146925185e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.354
y[1] (analytic) = 2.9389395539807997074047446041696
y[1] (numeric) = 2.938939553980799707404744604169
absolute error = 6e-31
relative error = 2.0415527062722292414010847319409e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.355
y[1] (analytic) = 2.9404863064614846744625509219875
y[1] (numeric) = 2.9404863064614846744625509219869
absolute error = 6e-31
relative error = 2.0404788101939048106996804380616e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.356
y[1] (analytic) = 2.9420341362570317371264359979943
y[1] (numeric) = 2.9420341362570317371264359979937
absolute error = 6e-31
relative error = 2.0394052965114229775656194723892e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=438.7MB, alloc=4.5MB, time=22.68
TOP MAIN SOLVE Loop
x[1] = 3.357
y[1] (analytic) = 2.943583043155161117539319540894
y[1] (numeric) = 2.9435830431551611175393195408934
absolute error = 6e-31
relative error = 2.0383321659472306259019599757561e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.358
y[1] (analytic) = 2.9451330269426159353432287228712
y[1] (numeric) = 2.9451330269426159353432287228706
absolute error = 6e-31
relative error = 2.0372594192217811240603221108158e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.359
y[1] (analytic) = 2.9466840874051624209361607661577
y[1] (numeric) = 2.9466840874051624209361607661571
absolute error = 6e-31
relative error = 2.0361870570535352819738199306428e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.36
y[1] (analytic) = 2.9482362243275901297058346922217
y[1] (numeric) = 2.9482362243275901297058346922211
absolute error = 6e-31
relative error = 2.0351150801589623189313426491552e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.361
y[1] (analytic) = 2.9497894374937121572401179998458
y[1] (numeric) = 2.9497894374937121572401179998452
absolute error = 6e-31
relative error = 2.0340434892525408419519373609278e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.362
y[1] (analytic) = 2.9513437266863653555139130616846
y[1] (numeric) = 2.9513437266863653555139130616841
absolute error = 5e-31
relative error = 1.6941435708722998622650514465795e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.363
y[1] (analytic) = 2.9528990916874105500522870524342
y[1] (numeric) = 2.9528990916874105500522870524337
absolute error = 5e-31
relative error = 1.6932512235434330475220768810230e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.364
y[1] (analytic) = 2.9544555322777327580696282455006
y[1] (numeric) = 2.9544555322777327580696282455001
absolute error = 5e-31
relative error = 1.6923591996476108789297426462859e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.365
y[1] (analytic) = 2.9560130482372414075846105390305
y[1] (numeric) = 2.95601304823724140758461053903
absolute error = 5e-31
relative error = 1.6914674997736051500237112640616e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.366
y[1] (analytic) = 2.9575716393448705575107470963571
y[1] (numeric) = 2.9575716393448705575107470963566
absolute error = 5e-31
relative error = 1.6905761245085330186405618355489e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.367
y[1] (analytic) = 2.9591313053785791187223130103254
y[1] (numeric) = 2.9591313053785791187223130103249
absolute error = 5e-31
relative error = 1.6896850744378578745092455123210e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.368
y[1] (analytic) = 2.9606920461153510760954159255939
y[1] (numeric) = 2.9606920461153510760954159255934
absolute error = 5e-31
relative error = 1.6887943501453902154357564704832e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.369
y[1] (analytic) = 2.9622538613311957115239925778597
y[1] (numeric) = 2.9622538613311957115239925778592
absolute error = 5e-31
relative error = 1.6879039522132885320467679990918e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.37
y[1] (analytic) = 2.9638167508011478279105082340292
y[1] (numeric) = 2.9638167508011478279105082340286
absolute error = 6e-31
relative error = 2.0244166574664722412696008964866e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.371
y[1] (analytic) = 2.9653807142992679741311350426532
y[1] (numeric) = 2.9653807142992679741311350426527
absolute error = 5e-31
relative error = 1.6861241377505623870331080585660e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.372
y[1] (analytic) = 2.9669457515986426709751843294688
y[1] (numeric) = 2.9669457515986426709751843294682
absolute error = 6e-31
relative error = 2.0222816668512035431186579949532e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.373
y[1] (analytic) = 2.9685118624713846380585668986309
y[1] (numeric) = 2.9685118624713846380585668986304
absolute error = 5e-31
relative error = 1.6843456356739413770825997655477e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.374
y[1] (analytic) = 2.9700790466886330217110544261964
y[1] (numeric) = 2.9700790466886330217110544261959
absolute error = 5e-31
relative error = 1.6834568782182896835373588279928e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.375
y[1] (analytic) = 2.9716473040205536238371140586147
y[1] (numeric) = 2.9716473040205536238371140586142
absolute error = 5e-31
relative error = 1.6825684505813133741212499723690e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.376
y[1] (analytic) = 2.9732166342363391317500873554115
y[1] (numeric) = 2.973216634236339131750087355411
absolute error = 5e-31
relative error = 1.6816803533336323737962610910188e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.377
y[1] (analytic) = 2.9747870371042093489794837419052
y[1] (numeric) = 2.9747870371042093489794837419047
absolute error = 5e-31
relative error = 1.6807925870442219823128062688043e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.378
y[1] (analytic) = 2.9763585123914114270511576646818
y[1] (numeric) = 2.9763585123914114270511576646813
absolute error = 5e-31
relative error = 1.6799051522804138344458051269972e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.379
y[1] (analytic) = 2.9779310598642200982401376696704
y[1] (numeric) = 2.9779310598642200982401376696699
absolute error = 5e-31
relative error = 1.6790180496078968684482561169353e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.38
y[1] (analytic) = 2.9795046792879379092958746500094
y[1] (numeric) = 2.9795046792879379092958746500089
absolute error = 5e-31
relative error = 1.6781312795907183026882696468144e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.381
y[1] (analytic) = 2.9810793704268954561396755384756
y[1] (numeric) = 2.9810793704268954561396755384751
absolute error = 5e-31
relative error = 1.6772448427912846204355492093326e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.382
y[1] (analytic) = 2.9826551330444516195340877470604
y[1] (numeric) = 2.9826551330444516195340877470599
absolute error = 5e-31
relative error = 1.6763587397703625627633313895694e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.383
y[1] (analytic) = 2.9842319669029938017239986843303
y[1] (numeric) = 2.9842319669029938017239986843297
absolute error = 6e-31
relative error = 2.0105675653044961554381825230316e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.384
y[1] (analytic) = 2.9858098717639381640492137094898
y[1] (numeric) = 2.9858098717639381640492137094892
absolute error = 6e-31
relative error = 2.0095050447587131061029959630775e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=442.5MB, alloc=4.5MB, time=22.87
TOP MAIN SOLVE Loop
x[1] = 3.385
y[1] (analytic) = 2.9873888473877298655282749105906
y[1] (numeric) = 2.9873888473877298655282749105901
absolute error = 5e-31
relative error = 1.6737024389617584919660817202782e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.386
y[1] (analytic) = 2.9889688935338433024132821230868
y[1] (numeric) = 2.9889688935338433024132821230862
absolute error = 6e-31
relative error = 2.0073812119557488431202506966286e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.387
y[1] (analytic) = 2.9905500099607823487154766339346
y[1] (numeric) = 2.9905500099607823487154766339341
absolute error = 5e-31
relative error = 1.6719332508556074256063200694579e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.388
y[1] (analytic) = 2.9921321964260805977013470456758
y[1] (numeric) = 2.9921321964260805977013470456753
absolute error = 5e-31
relative error = 1.6710491621901582500085775462278e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.389
y[1] (analytic) = 2.993715452686301604359015804415
y[1] (numeric) = 2.9937154526863016043590158044144
absolute error = 6e-31
relative error = 2.0041984934193122367971809610004e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.39
y[1] (analytic) = 2.9952997784970391288346639253275
y[1] (numeric) = 2.995299778497039128834663925327
absolute error = 5e-31
relative error = 1.6692819983810987782022503746712e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.391
y[1] (analytic) = 2.996885173612917380838750479293
y[1] (numeric) = 2.9968851736129173808387504792925
absolute error = 5e-31
relative error = 1.6683989243312290567713100821261e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.392
y[1] (analytic) = 2.9984716377875912650217824344538
y[1] (numeric) = 2.9984716377875912650217824344533
absolute error = 5e-31
relative error = 1.6675161895775767228997450647144e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.393
y[1] (analytic) = 3.0000591707737466273193894769513
y[1] (numeric) = 3.0000591707737466273193894769508
absolute error = 5e-31
relative error = 1.6666337946629391720974073047155e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.394
y[1] (analytic) = 3.0016477723231005022664574657836
y[1] (numeric) = 3.0016477723231005022664574657831
absolute error = 5e-31
relative error = 1.6657517401284865931675545207667e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.395
y[1] (analytic) = 3.0032374421864013612800732076736
y[1] (numeric) = 3.0032374421864013612800732076731
absolute error = 5e-31
relative error = 1.6648700265137630635278430945459e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.396
y[1] (analytic) = 3.004828180113429361911032269022
y[1] (numeric) = 3.0048281801134293619110322690215
absolute error = 5e-31
relative error = 1.6639886543566876521735507998770e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.397
y[1] (analytic) = 3.0064199858529965980636605734588
y[1] (numeric) = 3.0064199858529965980636605734583
absolute error = 5e-31
relative error = 1.6631076241935555302494306210825e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.398
y[1] (analytic) = 3.0080128591529473511836995651928
y[1] (numeric) = 3.0080128591529473511836995651923
absolute error = 5e-31
relative error = 1.6622269365590390891966261872633e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.399
y[1] (analytic) = 3.0096067997601583424140037502943
y[1] (numeric) = 3.0096067997601583424140037502937
absolute error = 6e-31
relative error = 1.9936159103834268797293307733791e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.4
y[1] (analytic) = 3.0112018074205389857177984602343
y[1] (numeric) = 3.0112018074205389857177984602337
absolute error = 6e-31
relative error = 1.9925599092077228143081529635770e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.401
y[1] (analytic) = 3.012797881879031641969244714445
y[1] (numeric) = 3.0127978818790316419692447144444
absolute error = 6e-31
relative error = 1.9915043209795077145238265551695e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.402
y[1] (analytic) = 3.0143950228796118740110570913558
y[1] (numeric) = 3.0143950228796118740110570913552
absolute error = 6e-31
relative error = 1.9904491463326127056849491216371e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.403
y[1] (analytic) = 3.0159932301652887026789195503097
y[1] (numeric) = 3.0159932301652887026789195503091
absolute error = 6e-31
relative error = 1.9893943858989284212809855266792e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.404
y[1] (analytic) = 3.0175925034781048637924431799654
y[1] (numeric) = 3.0175925034781048637924431799648
absolute error = 6e-31
relative error = 1.9883400403084063984550827129106e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.405
y[1] (analytic) = 3.0191928425591370661124088822478
y[1] (numeric) = 3.0191928425591370661124088822473
absolute error = 5e-31
relative error = 1.6560717584908837352383301342093e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.406
y[1] (analytic) = 3.0207942471484962502640370346275
y[1] (numeric) = 3.0207942471484962502640370346269
absolute error = 6e-31
relative error = 1.9862325961669682388391419224955e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.407
y[1] (analytic) = 3.0223967169853278486260252074787
y[1] (numeric) = 3.0223967169853278486260252074782
absolute error = 5e-31
relative error = 1.6543162490552269807890227646798e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.408
y[1] (analytic) = 3.0240002518078120461850940475027
y[1] (numeric) = 3.0240002518078120461850940475022
absolute error = 5e-31
relative error = 1.6534390157576518155647941865821e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.409
y[1] (analytic) = 3.0256048513531640423557804726891
y[1] (numeric) = 3.0256048513531640423557804726886
absolute error = 5e-31
relative error = 1.6525621307633124487132661244773e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.41
y[1] (analytic) = 3.027210515357634313765216359047
y[1] (numeric) = 3.0272105153576343137652163590465
absolute error = 5e-31
relative error = 1.6516855945874978423242583292199e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.411
y[1] (analytic) = 3.0288172435565088780026299343465
y[1] (numeric) = 3.0288172435565088780026299343459
absolute error = 6e-31
relative error = 1.9809712892926672665671675527444e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.412
y[1] (analytic) = 3.0304250356841095583333061293925
y[1] (numeric) = 3.030425035684109558333306129392
absolute error = 5e-31
relative error = 1.6499335707445621315752636319693e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=446.3MB, alloc=4.5MB, time=23.05
TOP MAIN SOLVE Loop
x[1] = 3.413
y[1] (analytic) = 3.0320338914737942493767411728932
y[1] (numeric) = 3.0320338914737942493767411728927
absolute error = 5e-31
relative error = 1.6490580840999859928231917704666e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.414
y[1] (analytic) = 3.0336438106579571837487257517882
y[1] (numeric) = 3.0336438106579571837487257517878
absolute error = 4e-31
relative error = 1.3185463586552216066582560032948e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.415
y[1] (analytic) = 3.0352547929680291996670900949788
y[1] (numeric) = 3.0352547929680291996670900949784
absolute error = 4e-31
relative error = 1.3178465311271588553969822637701e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.416
y[1] (analytic) = 3.0368668381344780095208433747344
y[1] (numeric) = 3.036866838134478009520843374734
absolute error = 4e-31
relative error = 1.3171469851003301367662165690335e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.417
y[1] (analytic) = 3.0384799458868084694024388566603
y[1] (numeric) = 3.03847994588680846940243885666
absolute error = 3e-31
relative error = 9.8733579073348870125038400115317e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.418
y[1] (analytic) = 3.0400941159535628496028952659836
y[1] (numeric) = 3.0400941159535628496028952659832
absolute error = 4e-31
relative error = 1.3157487391620936323950541370078e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.419
y[1] (analytic) = 3.041709348062321106069503875057
y[1] (numeric) = 3.0417093480623211060695038750566
absolute error = 4e-31
relative error = 1.3150500400533485249252454042317e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.42
y[1] (analytic) = 3.0433256419397011528258498543986
y[1] (numeric) = 3.0433256419397011528258498543982
absolute error = 4e-31
relative error = 1.3143516240511648433420445762999e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.421
y[1] (analytic) = 3.0449429973113591353538754672667
y[1] (numeric) = 3.0449429973113591353538754672663
absolute error = 4e-31
relative error = 1.3136534915536817797168260394374e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.422
y[1] (analytic) = 3.0465614139019897049377117257303
y[1] (numeric) = 3.04656141390198970493771172573
absolute error = 3e-31
relative error = 9.8471673221832263955716538599952e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.423
y[1] (analytic) = 3.048180891435326293969004164427
y[1] (numeric) = 3.0481808914353262939690041644266
absolute error = 4e-31
relative error = 1.3122580786590002784340962049157e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.424
y[1] (analytic) = 3.0498014296341413922134574267034
y[1] (numeric) = 3.049801429634141392213457426703
absolute error = 4e-31
relative error = 1.3115607990517093461945369040924e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.425
y[1] (analytic) = 3.0514230282202468240383223966196
y[1] (numeric) = 3.0514230282202468240383223966192
absolute error = 4e-31
relative error = 1.3108638045289361335663714332603e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.426
y[1] (analytic) = 3.0530456869144940266005486493505
y[1] (numeric) = 3.0530456869144940266005486493501
absolute error = 4e-31
relative error = 1.3101670954824552262965068607637e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.427
y[1] (analytic) = 3.054669405436774328995324031857
y[1] (numeric) = 3.0546694054367743289953240318566
absolute error = 4e-31
relative error = 1.3094706723027714436960163160397e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.428
y[1] (analytic) = 3.0562941835060192323647222253098
y[1] (numeric) = 3.0562941835060192323647222253094
absolute error = 4e-31
relative error = 1.3087745353791209025996308193278e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.429
y[1] (analytic) = 3.0579200208402006909661781806412
y[1] (numeric) = 3.0579200208402006909661781806409
absolute error = 3e-31
relative error = 9.8105901382460406492448756478429e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.43
y[1] (analytic) = 3.0595469171563313942005103587744
y[1] (numeric) = 3.0595469171563313942005103587741
absolute error = 3e-31
relative error = 9.8053734138789519021948979515313e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.431
y[1] (analytic) = 3.0611748721704650495992077475294
y[1] (numeric) = 3.061174872170465049599207747529
absolute error = 4e-31
relative error = 1.3066878460177218492200883024784e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.432
y[1] (analytic) = 3.0628038855976966667706986679438
y[1] (numeric) = 3.0628038855976966667706986679434
absolute error = 4e-31
relative error = 1.3059928579852289242985240103634e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.433
y[1] (analytic) = 3.0644339571521628423053174237631
y[1] (numeric) = 3.0644339571521628423053174237627
absolute error = 4e-31
relative error = 1.3052981581359568918920373084925e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.434
y[1] (analytic) = 3.0660650865470420456386838891567
y[1] (numeric) = 3.0660650865470420456386838891563
absolute error = 4e-31
relative error = 1.3046037468515522887939225989628e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.435
y[1] (analytic) = 3.0676972734945549058732101713046
y[1] (numeric) = 3.0676972734945549058732101713041
absolute error = 5e-31
relative error = 1.6298870306405006779094989158180e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.436
y[1] (analytic) = 3.0693305177059644995574475263716
y[1] (numeric) = 3.0693305177059644995574475263712
absolute error = 4e-31
relative error = 1.3032157914976270755072985913468e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.437
y[1] (analytic) = 3.0709648188915766394229857495473
y[1] (numeric) = 3.0709648188915766394229857495468
absolute error = 5e-31
relative error = 1.6281528102313730215410179252291e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.438
y[1] (analytic) = 3.0726001767607401640786163022738
y[1] (numeric) = 3.0726001767607401640786163022734
absolute error = 4e-31
relative error = 1.3018289949514233174926284556853e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.439
y[1] (analytic) = 3.074236591021847228661469482526
y[1] (numeric) = 3.0742365910218472286614694825256
absolute error = 4e-31
relative error = 1.3011360321719538675497673206745e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.44
y[1] (analytic) = 3.0758740613823335964448349870275
y[1] (numeric) = 3.0758740613823335964448349870271
absolute error = 4e-31
relative error = 1.3004433602207866250847715024210e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=450.1MB, alloc=4.5MB, time=23.24
TOP MAIN SOLVE Loop
x[1] = 3.441
y[1] (analytic) = 3.0775125875486789314023742576091
y[1] (numeric) = 3.0775125875486789314023742576087
absolute error = 4e-31
relative error = 1.2997509794707637442702007923905e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.442
y[1] (analytic) = 3.0791521692264070917284320475202
y[1] (numeric) = 3.0791521692264070917284320475198
absolute error = 4e-31
relative error = 1.2990588902934741107511306834005e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.443
y[1] (analytic) = 3.080792806120086424314153687406
y[1] (numeric) = 3.0807928061200864243141536874057
absolute error = 3e-31
relative error = 9.7377531979444086112959914334761e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.444
y[1] (analytic) = 3.0824344979333300601791135748592
y[1] (numeric) = 3.0824344979333300601791135748589
absolute error = 3e-31
relative error = 9.7325669110289297217244709252605e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.445
y[1] (analytic) = 3.08407724436879621085815945594
y[1] (numeric) = 3.0840772443687962108581594559397
absolute error = 3e-31
relative error = 9.7273828192133887015922424534901e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.446
y[1] (analytic) = 3.0857210451281884657431761118472
y[1] (numeric) = 3.0857210451281884657431761118469
absolute error = 3e-31
relative error = 9.7222009252471899901585807434436e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.447
y[1] (analytic) = 3.087365899912256090379471109
y[1] (numeric) = 3.0873658999122560903794711089997
absolute error = 3e-31
relative error = 9.7170212318703816197328587043969e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.448
y[1] (analytic) = 3.0890118084207943257164843161699
y[1] (numeric) = 3.0890118084207943257164843161696
absolute error = 3e-31
relative error = 9.7118437418136639447898352878271e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.449
y[1] (analytic) = 3.0906587703526446883125219379786
y[1] (numeric) = 3.0906587703526446883125219379783
absolute error = 3e-31
relative error = 9.7066684577983984065464126889934e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.45
y[1] (analytic) = 3.0923067854056952714932148600522
y[1] (numeric) = 3.092306785405695271493214860052
absolute error = 2e-31
relative error = 6.4676635883577442218736472233177e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.451
y[1] (analytic) = 3.0939558532768810474634001473992
y[1] (numeric) = 3.0939558532768810474634001473989
absolute error = 3e-31
relative error = 9.6963245187310277729126679001904e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.452
y[1] (analytic) = 3.0956059736621841703721235841547
y[1] (numeric) = 3.0956059736621841703721235841544
absolute error = 3e-31
relative error = 9.6911558690750303675323780271530e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.453
y[1] (analytic) = 3.0972571462566342803304601897156
y[1] (numeric) = 3.0972571462566342803304601897153
absolute error = 3e-31
relative error = 9.6859894362527182532292214933685e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.454
y[1] (analytic) = 3.0989093707543088083818486934695
y[1] (numeric) = 3.0989093707543088083818486934692
absolute error = 3e-31
relative error = 9.6808252229388910014919282420760e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.455
y[1] (analytic) = 3.1005626468483332824246349978095
y[1] (numeric) = 3.1005626468483332824246349978092
absolute error = 3e-31
relative error = 9.6756632317990625921165629728308e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.456
y[1] (analytic) = 3.1022169742308816340865187069163
y[1] (numeric) = 3.102216974230881634086518706916
absolute error = 3e-31
relative error = 9.6705034654894704207264288550064e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.457
y[1] (analytic) = 3.1038723525931765065505958468871
y[1] (numeric) = 3.1038723525931765065505958468869
absolute error = 2e-31
relative error = 6.4435639511047228934975049139222e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.458
y[1] (analytic) = 3.1055287816254895633326899511944
y[1] (numeric) = 3.1055287816254895633326899511942
absolute error = 2e-31
relative error = 6.4401270786264104907623892017636e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.459
y[1] (analytic) = 3.1071862610171417980096627341682
y[1] (numeric) = 3.107186261017141798009662734168
absolute error = 2e-31
relative error = 6.4366916946436844235003342913110e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.46
y[1] (analytic) = 3.108844790456503844898394624218
y[1] (numeric) = 3.1088447904565038448983946242178
absolute error = 2e-31
relative error = 6.4332578009026925653195217730512e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.461
y[1] (analytic) = 3.1105043696309962906851244778396
y[1] (numeric) = 3.1105043696309962906851244778394
absolute error = 2e-31
relative error = 6.4298253991434287624971011586440e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.462
y[1] (analytic) = 3.1121649982270899870048368450927
y[1] (numeric) = 3.1121649982270899870048368450925
absolute error = 2e-31
relative error = 6.4263944910997389729425281539244e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.463
y[1] (analytic) = 3.1138266759303063639703842071879
y[1] (numeric) = 3.1138266759303063639703842071877
absolute error = 2e-31
relative error = 6.4229650784993274270516477375538e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.464
y[1] (analytic) = 3.115489402425217744651030657088
y[1] (numeric) = 3.1154894024252177446510306570877
absolute error = 3e-31
relative error = 9.6293057445956442154919667828986e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.465
y[1] (analytic) = 3.1171531773954476605001025446045
y[1] (numeric) = 3.1171531773954476605001025446042
absolute error = 3e-31
relative error = 9.6241661197627267014717769207957e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.466
y[1] (analytic) = 3.1188180005236711677314306583671
y[1] (numeric) = 3.1188180005236711677314306583668
absolute error = 3e-31
relative error = 9.6190287458142129435694138658465e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.467
y[1] (analytic) = 3.1204838714916151646442675682479
y[1] (numeric) = 3.1204838714916151646442675682476
absolute error = 3e-31
relative error = 9.6138936253049019853508661808105e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.468
y[1] (analytic) = 3.1221507899800587098963628033514
y[1] (numeric) = 3.1221507899800587098963628033511
absolute error = 3e-31
relative error = 9.6087607607804269715836396707407e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=453.9MB, alloc=4.5MB, time=23.43
TOP MAIN SOLVE Loop
x[1] = 3.469
y[1] (analytic) = 3.1238187556688333417248775925211
y[1] (numeric) = 3.1238187556688333417248775925207
absolute error = 4e-31
relative error = 1.2804840206369686110204780948112e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.47
y[1] (analytic) = 3.1254877682368233981148199464733
y[1] (numeric) = 3.125487768236823398114819946473
absolute error = 3e-31
relative error = 9.5985018098227445005270385066091e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.471
y[1] (analytic) = 3.1271578273619663379146799131523
y[1] (numeric) = 3.127157827361966337914679913152
absolute error = 3e-31
relative error = 9.5933757284350589060750936339826e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.472
y[1] (analytic) = 3.1288289327212530628989438906955
y[1] (numeric) = 3.1288289327212530628989438906952
absolute error = 3e-31
relative error = 9.5882519131232720075771728389670e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.473
y[1] (analytic) = 3.1305010839907282407771659355233
y[1] (numeric) = 3.130501083990728240777165935523
absolute error = 3e-31
relative error = 9.5831303663873296002213340586912e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.474
y[1] (analytic) = 3.1321742808454906291492730565084
y[1] (numeric) = 3.1321742808454906291492730565081
absolute error = 3e-31
relative error = 9.5780110907180686564191010084012e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.475
y[1] (analytic) = 3.1338485229596934004067805399458
y[1] (numeric) = 3.1338485229596934004067805399455
absolute error = 3e-31
relative error = 9.5728940885972269467529033985311e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.476
y[1] (analytic) = 3.1355238100065444675795924041366
y[1] (numeric) = 3.1355238100065444675795924041362
absolute error = 4e-31
relative error = 1.2757039149996603588499382559972e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.477
y[1] (analytic) = 3.1372001416583068111280611368103
y[1] (numeric) = 3.1372001416583068111280611368099
absolute error = 4e-31
relative error = 1.2750222553176418988897828721688e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.478
y[1] (analytic) = 3.1388775175862988066799799233557
y[1] (numeric) = 3.1388775175862988066799799233553
absolute error = 4e-31
relative error = 1.2743408997608413056044476518579e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.479
y[1] (analytic) = 3.1405559374608945537121796288928
y[1] (numeric) = 3.1405559374608945537121796288924
absolute error = 4e-31
relative error = 1.2736598486553169495330932693783e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.48
y[1] (analytic) = 3.1422354009515242051764018526177
y[1] (numeric) = 3.1422354009515242051764018526173
absolute error = 4e-31
relative error = 1.2729791023259204486885861645421e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.481
y[1] (analytic) = 3.1439159077266742980691184285751
y[1] (numeric) = 3.1439159077266742980691184285747
absolute error = 4e-31
relative error = 1.2722986610962979753496213581233e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.482
y[1] (analytic) = 3.1455974574538880849449668030651
y[1] (numeric) = 3.1455974574538880849449668030647
absolute error = 4e-31
relative error = 1.2716185252888915667686089967853e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.483
y[1] (analytic) = 3.147280049799765866373469775278
y[1] (numeric) = 3.1472800497997658663734697752775
absolute error = 5e-31
relative error = 1.5886733690311755497142678386935e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.484
y[1] (analytic) = 3.1489636844299653243387071444637
y[1] (numeric) = 3.1489636844299653243387071444632
absolute error = 5e-31
relative error = 1.5878239640306028865313551717700e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.485
y[1] (analytic) = 3.1506483610092018565816058639936
y[1] (numeric) = 3.1506483610092018565816058639931
absolute error = 5e-31
relative error = 1.5869749420079433879371727900057e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.486
y[1] (analytic) = 3.1523340792012489118845143600507
y[1] (numeric) = 3.1523340792012489118845143600501
absolute error = 6e-31
relative error = 1.9033515640322944872762682127489e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.487
y[1] (analytic) = 3.1540208386689383262977257304027
y[1] (numeric) = 3.1540208386689383262977257304021
absolute error = 6e-31
relative error = 1.9023336581796724662722282291188e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.488
y[1] (analytic) = 3.1557086390741606603076135967632
y[1] (numeric) = 3.1557086390741606603076135967626
absolute error = 6e-31
relative error = 1.9013162133245334548663575420247e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.489
y[1] (analytic) = 3.1573974800778655369460434426321
y[1] (numeric) = 3.1573974800778655369460434426315
absolute error = 6e-31
relative error = 1.9002992299379526267635864605975e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.49
y[1] (analytic) = 3.1590873613400619808407213272332
y[1] (numeric) = 3.1590873613400619808407213272326
absolute error = 6e-31
relative error = 1.8992827084892148887852890551329e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.491
y[1] (analytic) = 3.1607782825198187582061409252278
y[1] (numeric) = 3.1607782825198187582061409252271
absolute error = 7e-31
relative error = 2.2146444243534530478858922484047e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.492
y[1] (analytic) = 3.1624702432752647177747889012854
y[1] (numeric) = 3.1624702432752647177747889012847
absolute error = 7e-31
relative error = 2.2134595621523805997494779087267e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.493
y[1] (analytic) = 3.1641632432635891326682676883361
y[1] (numeric) = 3.1641632432635891326682676883353
absolute error = 8e-31
relative error = 2.5283145605814635771191719369933e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.494
y[1] (analytic) = 3.1658572821410420432079937984078
y[1] (numeric) = 3.165857282141042043207993798407
absolute error = 8e-31
relative error = 2.5269616685277956769128162295895e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.495
y[1] (analytic) = 3.1675523595629346006651288553812
y[1] (numeric) = 3.1675523595629346006651288553805
absolute error = 7e-31
relative error = 2.2099082210485936273918509961521e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.496
y[1] (analytic) = 3.1692484751836394119493995997584
y[1] (numeric) = 3.1692484751836394119493995997576
absolute error = 8e-31
relative error = 2.5242577420618453693944093483521e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=457.7MB, alloc=4.5MB, time=23.62
x[1] = 3.497
y[1] (analytic) = 3.1709456286565908852364621766537
y[1] (numeric) = 3.170945628656590885236462176653
absolute error = 7e-31
relative error = 2.2075433702613292315721254139954e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.498
y[1] (analytic) = 3.1726438196342855765334650796734
y[1] (numeric) = 3.1726438196342855765334650796727
absolute error = 7e-31
relative error = 2.2063617594511123908060606602757e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.499
y[1] (analytic) = 3.1743430477682825371824641851474
y[1] (numeric) = 3.1743430477682825371824641851466
absolute error = 8e-31
relative error = 2.5202065056025966911357217510898e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.5
y[1] (analytic) = 3.1760433127092036623013423733282
y[1] (numeric) = 3.1760433127092036623013423733275
absolute error = 7e-31
relative error = 2.2040001696415514776762691146622e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.501
y[1] (analytic) = 3.177744614106734040161885295668
y[1] (numeric) = 3.1777446141067340401618852956672
absolute error = 8e-31
relative error = 2.5175087905070070919318143260557e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.502
y[1] (analytic) = 3.1794469516096223025046639101234
y[1] (numeric) = 3.1794469516096223025046639101227
absolute error = 7e-31
relative error = 2.2016407590811319975254540023737e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.503
y[1] (analytic) = 3.1811503248656809757903734696394
y[1] (numeric) = 3.1811503248656809757903734696386
absolute error = 8e-31
relative error = 2.5148135683709908630528865074867e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.504
y[1] (analytic) = 3.1828547335217868333872777124976
y[1] (numeric) = 3.1828547335217868333872777124969
absolute error = 7e-31
relative error = 2.1992835319425942554152017940300e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.505
y[1] (analytic) = 3.1845601772238812486944060671192
y[1] (numeric) = 3.1845601772238812486944060671185
absolute error = 7e-31
relative error = 2.1981057384515190910500211148780e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.506
y[1] (analytic) = 3.1862666556169705492001507481502
y[1] (numeric) = 3.1862666556169705492001507481495
absolute error = 7e-31
relative error = 2.1969284923657966164516181309207e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.507
y[1] (analytic) = 3.1879741683451263714759096852642
y[1] (numeric) = 3.1879741683451263714759096852635
absolute error = 7e-31
relative error = 2.1957517941977841492368078545352e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.508
y[1] (analytic) = 3.1896827150514860171044202910689
y[1] (numeric) = 3.1896827150514860171044202910682
absolute error = 7e-31
relative error = 2.1945756444577936777114528306179e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.509
y[1] (analytic) = 3.1913922953782528095424281398111
y[1] (numeric) = 3.1913922953782528095424281398103
absolute error = 8e-31
relative error = 2.5067429070332506560789698186855e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.51
y[1] (analytic) = 3.1931029089666964519173336942424
y[1] (numeric) = 3.1931029089666964519173336942416
absolute error = 8e-31
relative error = 2.5053999911919026437719396624135e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.511
y[1] (analytic) = 3.1948145554571533857574592840288
y[1] (numeric) = 3.1948145554571533857574592840279
absolute error = 9e-31
relative error = 2.8170649168437162185666640797333e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.512
y[1] (analytic) = 3.1965272344890271506555776054654
y[1] (numeric) = 3.1965272344890271506555776054646
absolute error = 8e-31
relative error = 2.5027160456146778142272694673986e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.513
y[1] (analytic) = 3.1982409457007887448653420790006
y[1] (numeric) = 3.1982409457007887448653420789997
absolute error = 9e-31
relative error = 2.8140468941522939601584019434004e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.514
y[1] (analytic) = 3.1999556887299769868302584681659
y[1] (numeric) = 3.199955688729976986830258468165
absolute error = 9e-31
relative error = 2.8125389459914643964477297353122e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.515
y[1] (analytic) = 3.2016714632131988776448362309734
y[1] (numeric) = 3.2016714632131988776448362309725
absolute error = 9e-31
relative error = 2.8110317074718203823847369857190e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.516
y[1] (analytic) = 3.2033882687861299644475571426572
y[1] (numeric) = 3.2033882687861299644475571426562
absolute error = 1.0e-30
relative error = 3.1216946435872825331895109557771e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.517
y[1] (analytic) = 3.2051061050835147047452977968214
y[1] (numeric) = 3.2051061050835147047452977968204
absolute error = 1.0e-30
relative error = 3.1200215132158416716518661820857e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.518
y[1] (analytic) = 3.2068249717391668316688416606029
y[1] (numeric) = 3.2068249717391668316688416606019
absolute error = 1.0e-30
relative error = 3.1183491734432486185816228386705e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.519
y[1] (analytic) = 3.2085448683859697201591154283666
y[1] (numeric) = 3.2085448683859697201591154283657
absolute error = 9e-31
relative error = 2.8050098624699522600969012448660e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.52
y[1] (analytic) = 3.2102657946558767540837834877278
y[1] (numeric) = 3.2102657946558767540837834877269
absolute error = 9e-31
relative error = 2.8035061816321510061036655864874e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.521
y[1] (analytic) = 3.211987750179911694283833381337
y[1] (numeric) = 3.2119877501799116942838333813362
absolute error = 8e-31
relative error = 2.4906695237402133386351768774985e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.522
y[1] (analytic) = 3.2137107345881690475497842178742
y[1] (numeric) = 3.2137107345881690475497842178734
absolute error = 8e-31
relative error = 2.4893341873923151547616375889596e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.523
y[1] (analytic) = 3.2154347475098144365271490560723
y[1] (numeric) = 3.2154347475098144365271490560715
absolute error = 8e-31
relative error = 2.4879994862889319718537494031197e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.524
y[1] (analytic) = 3.2171597885730849705507813563408
y[1] (numeric) = 3.21715978857308497055078135634
absolute error = 8e-31
relative error = 2.4866654209762643659060217035827e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=461.5MB, alloc=4.5MB, time=23.80
x[1] = 3.525
y[1] (analytic) = 3.2188858574052896174077346656723
y[1] (numeric) = 3.2188858574052896174077346656715
absolute error = 8e-31
relative error = 2.4853319919982241072153173519829e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.526
y[1] (analytic) = 3.2206129536328095760282637730041
y[1] (numeric) = 3.2206129536328095760282637730033
absolute error = 8e-31
relative error = 2.4839991998964370803295931529956e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.527
y[1] (analytic) = 3.222341076881098650104594644064
y[1] (numeric) = 3.2223410768810986501045946440632
absolute error = 8e-31
relative error = 2.4826670452102462097671778002942e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.528
y[1] (analytic) = 3.2240702267746836226370895169628
y[1] (numeric) = 3.224070226774683622637089516962
absolute error = 8e-31
relative error = 2.4813355284767143914629922516154e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.529
y[1] (analytic) = 3.2258004029371646314074326123981
y[1] (numeric) = 3.2258004029371646314074326123973
absolute error = 8e-31
relative error = 2.4800046502306274298982169964892e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.53
y[1] (analytic) = 3.227531604991215545378460985316
y[1] (numeric) = 3.2275316049912155453784609853152
absolute error = 8e-31
relative error = 2.4786744110044969808700103956565e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.531
y[1] (analytic) = 3.2292638325585843420202641182308
y[1] (numeric) = 3.22926383255858434202026411823
absolute error = 8e-31
relative error = 2.4773448113285634998579821840557e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.532
y[1] (analytic) = 3.2309970852600934855621749301348
y[1] (numeric) = 3.230997085260093485562174930134
absolute error = 8e-31
relative error = 2.4760158517307991959442263368159e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.533
y[1] (analytic) = 3.2327313627156403061702739490382
y[1] (numeric) = 3.2327313627156403061702739490375
absolute error = 7e-31
relative error = 2.1653515911447971173383405726243e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.534
y[1] (analytic) = 3.2344666645441973800500274706676
y[1] (numeric) = 3.2344666645441973800500274706669
absolute error = 7e-31
relative error = 2.1641898730115505500774307981921e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.535
y[1] (analytic) = 3.236202990363812910473679600715
y[1] (numeric) = 3.2362029903638129104736796007143
absolute error = 7e-31
relative error = 2.1630287163207466869305383330645e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.536
y[1] (analytic) = 3.2379403397916111097320171532785
y[1] (numeric) = 3.2379403397916111097320171532778
absolute error = 7e-31
relative error = 2.1618681215264482911228145848026e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.537
y[1] (analytic) = 3.239678712443792582010125453761
y[1] (numeric) = 3.2396787124437925820101254537603
absolute error = 7e-31
relative error = 2.1607080890807464052554762709684e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.538
y[1] (analytic) = 3.2414181079356347071867521705028
y[1] (numeric) = 3.2414181079356347071867521705022
absolute error = 6e-31
relative error = 1.8510416738003682551599064109313e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.539
y[1] (analytic) = 3.243158525881492025556895375817
y[1] (numeric) = 3.2431585258814920255568953758164
absolute error = 6e-31
relative error = 1.8500483254574172115790728710710e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.54
y[1] (analytic) = 3.2448999658947966234772311138702
y[1] (numeric) = 3.2448999658947966234772311138697
absolute error = 5e-31
relative error = 1.5408795502332923786345861830993e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.541
y[1] (analytic) = 3.2466424275880585199339948300156
y[1] (numeric) = 3.2466424275880585199339948300151
absolute error = 5e-31
relative error = 1.5400525655406150360418592390276e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.542
y[1] (analytic) = 3.248385910572866054032930093726
y[1] (numeric) = 3.2483859105728660540329300937255
absolute error = 5e-31
relative error = 1.5392259841190573580011502048412e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.543
y[1] (analytic) = 3.2501304144598862734109171252136
y[1] (numeric) = 3.250130414459886273410917125213
absolute error = 6e-31
relative error = 1.8460797675397567155244771398820e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.544
y[1] (analytic) = 3.2518759388588653235688927141376
y[1] (numeric) = 3.251875938858865323568892714137
absolute error = 6e-31
relative error = 1.8450888388151409168050744566440e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.545
y[1] (analytic) = 3.2536224833786288381256721975145
y[1] (numeric) = 3.2536224833786288381256721975139
absolute error = 6e-31
relative error = 1.8440983951430886295782815349758e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.546
y[1] (analytic) = 3.2553700476270823299922832430397
y[1] (numeric) = 3.255370047627082329992283243039
absolute error = 7e-31
relative error = 2.1502931763786635175088468241933e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.547
y[1] (analytic) = 3.25711863121121158346642026352
y[1] (numeric) = 3.2571186312112115834664202635194
absolute error = 6e-31
relative error = 1.8421189644445969019376913077850e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.548
y[1] (analytic) = 3.2588682337370830472466273679965
y[1] (numeric) = 3.2588682337370830472466273679959
absolute error = 6e-31
relative error = 1.8411299781579522074902560501808e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.549
y[1] (analytic) = 3.2606188548098442283658168354047
y[1] (numeric) = 3.2606188548098442283658168354041
absolute error = 6e-31
relative error = 1.8401414784034650755713296936676e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.55
y[1] (analytic) = 3.2623704940337240870437291772895
y[1] (numeric) = 3.2623704940337240870437291772889
absolute error = 6e-31
relative error = 1.8391534655468767332595673477519e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.551
y[1] (analytic) = 3.2641231510120334324579399371457
y[1] (numeric) = 3.2641231510120334324579399371451
absolute error = 6e-31
relative error = 1.8381659399522700650442152021370e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.552
y[1] (analytic) = 3.2658768253471653194330174554108
y[1] (numeric) = 3.2658768253471653194330174554102
absolute error = 6e-31
relative error = 1.8371789019820719048820200809594e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=465.4MB, alloc=4.5MB, time=23.99
x[1] = 3.553
y[1] (analytic) = 3.2676315166405954460474349109858
y[1] (numeric) = 3.2676315166405954460474349109852
absolute error = 6e-31
relative error = 1.8361923519970553317565559091324e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.554
y[1] (analytic) = 3.2693872244928825521578390324047
y[1] (numeric) = 3.2693872244928825521578390324041
absolute error = 6e-31
relative error = 1.8352062903563419687092549780959e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.555
y[1] (analytic) = 3.2711439485036688188402769544171
y[1] (numeric) = 3.2711439485036688188402769544165
absolute error = 6e-31
relative error = 1.8342207174174042853115097987210e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.556
y[1] (analytic) = 3.2729016882716802687479817787906
y[1] (numeric) = 3.27290168827168026874798177879
absolute error = 6e-31
relative error = 1.8332356335360679035472893294507e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.557
y[1] (analytic) = 3.2746604433947271673853164815808
y[1] (numeric) = 3.2746604433947271673853164815802
absolute error = 6e-31
relative error = 1.8322510390665139070757914661590e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.558
y[1] (analytic) = 3.2764202134697044252974748929581
y[1] (numeric) = 3.2764202134697044252974748929575
absolute error = 6e-31
relative error = 1.8312669343612811538437318748447e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.559
y[1] (analytic) = 3.2781809980925920011755375599243
y[1] (numeric) = 3.2781809980925920011755375599237
absolute error = 6e-31
relative error = 1.8302833197712685920169475373287e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.56
y[1] (analytic) = 3.2799427968584553058764793868963
y[1] (numeric) = 3.2799427968584553058764793868957
absolute error = 6e-31
relative error = 1.8293001956457375792010717617918e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.561
y[1] (analytic) = 3.2817056093614456073577250341834
y[1] (numeric) = 3.2817056093614456073577250341828
absolute error = 6e-31
relative error = 1.8283175623323142049211158824588e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.562
y[1] (analytic) = 3.2834694351948004365258471398359
y[1] (numeric) = 3.2834694351948004365258471398353
absolute error = 6e-31
relative error = 1.8273354201769916163298714342227e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.563
y[1] (analytic) = 3.2852342739508439939990015162012
y[1] (numeric) = 3.2852342739508439939990015162006
absolute error = 6e-31
relative error = 1.8263537695241323471151252367122e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.564
y[1] (analytic) = 3.287000125220987557782692558786
y[1] (numeric) = 3.2870001252209875577826925587854
absolute error = 6e-31
relative error = 1.8253726107164706495757585564645e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.565
y[1] (analytic) = 3.2887669885957298918584611916928
y[1] (numeric) = 3.2887669885957298918584611916922
absolute error = 6e-31
relative error = 1.8243919440951148298368803336900e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.566
y[1] (analytic) = 3.290534863664657655685086760977
y[1] (numeric) = 3.2905348636646576556850867609764
absolute error = 6e-31
relative error = 1.8234117699995495861742233598577e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.567
y[1] (analytic) = 3.292303750016445814611893374757
y[1] (numeric) = 3.2923037500164458146118933747564
absolute error = 6e-31
relative error = 1.8224320887676383504181112722082e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.568
y[1] (analytic) = 3.2940736472388580512037502768051
y[1] (numeric) = 3.2940736472388580512037502768046
absolute error = 5e-31
relative error = 1.5178774172796880270061527413246e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.569
y[1] (analytic) = 3.2958445549187471774773549286531
y[1] (numeric) = 3.2958445549187471774773549286526
absolute error = 5e-31
relative error = 1.5170618385317828062197856241231e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.57
y[1] (analytic) = 3.2976164726420555480483865639633
y[1] (numeric) = 3.2976164726420555480483865639628
absolute error = 5e-31
relative error = 1.5162466713401610557142289263826e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.571
y[1] (analytic) = 3.2993893999938154741891170680467
y[1] (numeric) = 3.2993893999938154741891170680463
absolute error = 4e-31
relative error = 1.2123455327847927808215714612946e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.572
y[1] (analytic) = 3.301163336558149638796065124952
y[1] (numeric) = 3.3011633365581496387960651249516
absolute error = 4e-31
relative error = 1.2116940581832796046459132760654e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.573
y[1] (analytic) = 3.3029382819182715122672786645043
y[1] (numeric) = 3.3029382819182715122672786645039
absolute error = 4e-31
relative error = 1.2110429134863794302949892864084e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.574
y[1] (analytic) = 3.3047142356564857692888297320481
y[1] (numeric) = 3.3047142356564857692888297320476
absolute error = 5e-31
relative error = 1.5129901236397656376349124312091e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.575
y[1] (analytic) = 3.3064911973541887065301049944321
y[1] (numeric) = 3.3064911973541887065301049944316
absolute error = 5e-31
relative error = 1.5121770183452885139581187913122e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.576
y[1] (analytic) = 3.3082691665918686612474741869823
y[1] (numeric) = 3.3082691665918686612474741869818
absolute error = 5e-31
relative error = 1.5113643262440244922830316058479e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.577
y[1] (analytic) = 3.3100481429491064307959178978279
y[1] (numeric) = 3.3100481429491064307959178978274
absolute error = 5e-31
relative error = 1.5105520476041237401335006484733e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.578
y[1] (analytic) = 3.3118281260045756930481951779884
y[1] (numeric) = 3.3118281260045756930481951779879
absolute error = 5e-31
relative error = 1.5097401826924069948977398820905e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.579
y[1] (analytic) = 3.3136091153360434277211305580887
y[1] (numeric) = 3.3136091153360434277211305580882
absolute error = 5e-31
relative error = 1.5089287317743675438880614985675e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.58
y[1] (analytic) = 3.315391110520370338608599145451
y[1] (numeric) = 3.3153911105203703386085991454505
absolute error = 5e-31
relative error = 1.5081176951141732066512712581226e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=469.2MB, alloc=4.5MB, time=24.18
x[1] = 3.581
y[1] (analytic) = 3.3171741111335112767207875686126
y[1] (numeric) = 3.3171741111335112767207875686122
absolute error = 4e-31
relative error = 1.2058456583797346556047274581431e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.582
y[1] (analytic) = 3.3189581167505156643293076300451
y[1] (numeric) = 3.3189581167505156643293076300447
absolute error = 4e-31
relative error = 1.2051974924939005778260699394416e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.583
y[1] (analytic) = 3.320743126945527919917738621995
y[1] (numeric) = 3.3207431269455279199177386219946
absolute error = 4e-31
relative error = 1.2045496586419989977949919206633e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.584
y[1] (analytic) = 3.322529141291787884037173354941
y[1] (numeric) = 3.3225291412917878840371733549406
absolute error = 4e-31
relative error = 1.2039021570311385681273382916878e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.585
y[1] (analytic) = 3.3243161593616312460663420431556
y[1] (numeric) = 3.3243161593616312460663420431552
absolute error = 4e-31
relative error = 1.2032549878673755228110900364587e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.586
y[1] (analytic) = 3.3261041807264899718758872872834
y[1] (numeric) = 3.326104180726489971875887287283
absolute error = 4e-31
relative error = 1.2026081513557152734596165321990e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.587
y[1] (analytic) = 3.327893204956892732396362489697
y[1] (numeric) = 3.3278932049568927323963624896966
absolute error = 4e-31
relative error = 1.2019616477001140072332092420429e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.588
y[1] (analytic) = 3.3296832316224653330895251346672
y[1] (numeric) = 3.3296832316224653330895251346669
absolute error = 3e-31
relative error = 9.0098660782761021480766356228991e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.589
y[1] (analytic) = 3.3314742602919311443224954620908
y[1] (numeric) = 3.3314742602919311443224954620905
absolute error = 3e-31
relative error = 9.0050222982575748719187397034731e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.59
y[1] (analytic) = 3.3332662905331115326443501606522
y[1] (numeric) = 3.3332662905331115326443501606518
absolute error = 4e-31
relative error = 1.2000241358935212145032651956865e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.591
y[1] (analytic) = 3.3350593219129262929647198038615
y[1] (numeric) = 3.3350593219129262929647198038612
absolute error = 3e-31
relative error = 8.9953422426059196182162387934742e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.592
y[1] (analytic) = 3.3368533539973940816339578504089
y[1] (numeric) = 3.3368533539973940816339578504085
absolute error = 4e-31
relative error = 1.1987341293282149441691101480507e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.593
y[1] (analytic) = 3.3386483863516328504244481286994
y[1] (numeric) = 3.338648386351632850424448128699
absolute error = 4e-31
relative error = 1.1980896270334926875951198236178e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.594
y[1] (analytic) = 3.3404444185398602814126168243004
y[1] (numeric) = 3.3404444185398602814126168243
absolute error = 4e-31
relative error = 1.1974454589932790067251549388765e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.595
y[1] (analytic) = 3.342241450125394222761214088323
y[1] (numeric) = 3.3422414501253942227612140883226
absolute error = 4e-31
relative error = 1.1968016254031940123246358494910e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.596
y[1] (analytic) = 3.344039480670653125401429484494
y[1] (numeric) = 3.3440394806706531254014294844936
absolute error = 4e-31
relative error = 1.1961581264578230440080637608865e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.597
y[1] (analytic) = 3.3458385097371564806144045928384
y[1] (numeric) = 3.3458385097371564806144045928381
absolute error = 3e-31
relative error = 8.9663622176303871286866152079473e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.598
y[1] (analytic) = 3.3476385368855252585117051884968
y[1] (numeric) = 3.3476385368855252585117051884964
absolute error = 4e-31
relative error = 1.1948721332744003713111020168435e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.599
y[1] (analytic) = 3.3494395616754823474143145152411
y[1] (numeric) = 3.3494395616754823474143145152407
absolute error = 4e-31
relative error = 1.1942296394203600199886051384613e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.6
y[1] (analytic) = 3.3512415836658529941297082747341
y[1] (numeric) = 3.3512415836658529941297082747337
absolute error = 4e-31
relative error = 1.1935874809790596352940864417631e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.601
y[1] (analytic) = 3.3530446024145652451265710544914
y[1] (numeric) = 3.353044602414565245126571054491
absolute error = 4e-31
relative error = 1.1929456581399349339196589786174e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.602
y[1] (analytic) = 3.3548486174786503886067130198691
y[1] (numeric) = 3.3548486174786503886067130198687
absolute error = 4e-31
relative error = 1.1923041710913965645471919625136e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.603
y[1] (analytic) = 3.3566536284142433974737447981954
y[1] (numeric) = 3.356653628414243397473744798195
absolute error = 4e-31
relative error = 1.1916630200208317299585095875373e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.604
y[1] (analytic) = 3.358459634776583373198067586409
y[1] (numeric) = 3.3584596347765833731980675864085
absolute error = 5e-31
relative error = 1.4887777563932572631295390293900e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.605
y[1] (analytic) = 3.3602666361200139905777346172506
y[1] (numeric) = 3.3602666361200139905777346172501
absolute error = 5e-31
relative error = 1.4879771581975799861366094590925e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.606
y[1] (analytic) = 3.3620746319979839433947392231843
y[1] (numeric) = 3.3620746319979839433947392231838
absolute error = 5e-31
relative error = 1.4871769806694160955125015068131e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.607
y[1] (analytic) = 3.3638836219630473909662838417964
y[1] (numeric) = 3.3638836219630473909662838417959
absolute error = 5e-31
relative error = 1.4863772240379026752300924126244e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.608
y[1] (analytic) = 3.3656936055668644055905834114408
y[1] (numeric) = 3.3656936055668644055905834114403
absolute error = 5e-31
relative error = 1.4855778885309076650960963052208e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=473.0MB, alloc=4.5MB, time=24.37
x[1] = 3.609
y[1] (analytic) = 3.3675045823602014208867557113647
y[1] (numeric) = 3.3675045823602014208867557113642
absolute error = 5e-31
relative error = 1.4847789743750318982423684975602e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.61
y[1] (analytic) = 3.3693165518929316810283503064616
y[1] (numeric) = 3.3693165518929316810283503064611
absolute error = 5e-31
relative error = 1.4839804817956111401825312627720e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.611
y[1] (analytic) = 3.3711295137140356908700668631598
y[1] (numeric) = 3.3711295137140356908700668631593
absolute error = 5e-31
relative error = 1.4831824110167181294121185551386e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.612
y[1] (analytic) = 3.3729434673716016669672127097664
y[1] (numeric) = 3.3729434673716016669672127097659
absolute error = 5e-31
relative error = 1.4823847622611646195305045465380e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.613
y[1] (analytic) = 3.3747584124128259894874486218457
y[1] (numeric) = 3.3747584124128259894874486218451
absolute error = 6e-31
relative error = 1.7779050429006041074355379124294e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.614
y[1] (analytic) = 3.3765743483840136550143709209246
y[1] (numeric) = 3.376574348384013655014370920924
absolute error = 6e-31
relative error = 1.7769488780460365466733848016649e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.615
y[1] (analytic) = 3.3783912748305787302424770829807
y[1] (numeric) = 3.3783912748305787302424770829802
absolute error = 5e-31
relative error = 1.4799943503437867841608147003880e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.616
y[1] (analytic) = 3.3802091912970448065630611617853
y[1] (numeric) = 3.3802091912970448065630611617848
absolute error = 5e-31
relative error = 1.4791983918845606735746727147685e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.617
y[1] (analytic) = 3.3820280973270454555405844412427
y[1] (numeric) = 3.3820280973270454555405844412422
absolute error = 5e-31
relative error = 1.4784028565438896364997000509026e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.618
y[1] (analytic) = 3.3838479924633246852790658403947
y[1] (numeric) = 3.3838479924633246852790658403942
absolute error = 5e-31
relative error = 1.4776077445370624842170673979471e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.619
y[1] (analytic) = 3.385668876247737397678035704737
y[1] (numeric) = 3.3856688762477373976780357047365
absolute error = 5e-31
relative error = 1.4768130560781213787636387864329e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.62
y[1] (analytic) = 3.387490748221249846577595727932
y[1] (numeric) = 3.3874907482212498465775957279315
absolute error = 5e-31
relative error = 1.4760187913798638864537961062419e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.621
y[1] (analytic) = 3.3893136079239400967921268588961
y[1] (numeric) = 3.3893136079239400967921268588956
absolute error = 5e-31
relative error = 1.4752249506538450327304651367315e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.622
y[1] (analytic) = 3.391137454894998484032186160592
y[1] (numeric) = 3.3911374548949984840321861605915
absolute error = 5e-31
relative error = 1.4744315341103793583242821555932e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.623
y[1] (analytic) = 3.3929622886727280757141326986679
y[1] (numeric) = 3.3929622886727280757141326986674
absolute error = 5e-31
relative error = 1.4736385419585429766999076014045e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.624
y[1] (analytic) = 3.3947881087945451326570216503548
y[1] (numeric) = 3.3947881087945451326570216503544
absolute error = 4e-31
relative error = 1.1782767795249405062148485333209e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.625
y[1] (analytic) = 3.3966149147969795716663049367684
y[1] (numeric) = 3.396614914796979571666304936768
absolute error = 4e-31
relative error = 1.1776430653279062102767328737067e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.626
y[1] (analytic) = 3.3984427062156754290038757949507
y[1] (numeric) = 3.3984427062156754290038757949503
absolute error = 4e-31
relative error = 1.1770096911400300446676574552278e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.627
y[1] (analytic) = 3.4002714825853913247439938196485
y[1] (numeric) = 3.4002714825853913247439938196481
absolute error = 4e-31
relative error = 1.1763766571246264124882908243350e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.628
y[1] (analytic) = 3.4021012434400009280146261189396
y[1] (numeric) = 3.4021012434400009280146261189392
absolute error = 4e-31
relative error = 1.1757439634440272196734955827517e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.629
y[1] (analytic) = 3.4039319883124934231237393424063
y[1] (numeric) = 3.4039319883124934231237393424059
absolute error = 4e-31
relative error = 1.1751116102595835267780130768157e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.63
y[1] (analytic) = 3.405763716734973976570076455602
y[1] (numeric) = 3.4057637167349739765700764556016
absolute error = 4e-31
relative error = 1.1744795977316672016758113848623e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.631
y[1] (analytic) = 3.4075964282386642049379512500734
y[1] (numeric) = 3.407596428238664204937951250073
absolute error = 4e-31
relative error = 1.1738479260196725731567329332171e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.632
y[1] (analytic) = 3.4094301223539026436755926941829
y[1] (numeric) = 3.4094301223539026436755926941825
absolute error = 4e-31
relative error = 1.1732165952820180854041319192448e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.633
y[1] (analytic) = 3.4112647986101452167565703464253
y[1] (numeric) = 3.4112647986101452167565703464249
absolute error = 4e-31
relative error = 1.1725856056761479533372455547098e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.634
y[1] (analytic) = 3.4131004565359657072238311698532
y[1] (numeric) = 3.4131004565359657072238311698529
absolute error = 3e-31
relative error = 8.7896621801890036410157272269607e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.635
y[1] (analytic) = 3.4149370956590562286158772036138
y[1] (numeric) = 3.4149370956590562286158772036134
absolute error = 4e-31
relative error = 1.1713246504846764075947813746612e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.636
y[1] (analytic) = 3.4167747155062276972746126654568
y[1] (numeric) = 3.4167747155062276972746126654564
absolute error = 4e-31
relative error = 1.1706946852091071873010410395773e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=476.8MB, alloc=4.5MB, time=24.56
x[1] = 3.637
y[1] (analytic) = 3.4186133156034103055343881774085
y[1] (numeric) = 3.4186133156034103055343881774081
absolute error = 4e-31
relative error = 1.1700650616853900259360880815625e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.638
y[1] (analytic) = 3.4204528954756539957917689256049
y[1] (numeric) = 3.4204528954756539957917689256045
absolute error = 4e-31
relative error = 1.1694357800661228513686882363684e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.639
y[1] (analytic) = 3.4222934546471289354555526845566
y[1] (numeric) = 3.4222934546471289354555526845562
absolute error = 4e-31
relative error = 1.1688068405029393115135721862183e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.64
y[1] (analytic) = 3.4241349926411259927765627558659
y[1] (numeric) = 3.4241349926411259927765627558655
absolute error = 4e-31
relative error = 1.1681782431465104352762949072437e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.641
y[1] (analytic) = 3.4259775089800572135567399916443
y[1] (numeric) = 3.4259775089800572135567399916439
absolute error = 4e-31
relative error = 1.1675499881465462942347171511705e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.642
y[1] (analytic) = 3.4278210031854562987370571935765
y[1] (numeric) = 3.4278210031854562987370571935761
absolute error = 4e-31
relative error = 1.1669220756517976650413368617177e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.643
y[1] (analytic) = 3.4296654747779790828637782997573
y[1] (numeric) = 3.4296654747779790828637782997569
absolute error = 4e-31
relative error = 1.1662945058100576925307519845747e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.644
y[1] (analytic) = 3.4315109232774040134325838930822
y[1] (numeric) = 3.4315109232774040134325838930818
absolute error = 4e-31
relative error = 1.1656672787681635535165897661128e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.645
y[1] (analytic) = 3.433357348202632631110083687105
y[1] (numeric) = 3.4333573482026326311100836871047
absolute error = 3e-31
relative error = 8.7378029600399859094671843703825e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.646
y[1] (analytic) = 3.4352047490716900508322357678917
y[1] (numeric) = 3.4352047490716900508322357678913
absolute error = 4e-31
relative error = 1.1644138536664916306101932656670e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.647
y[1] (analytic) = 3.4370531254017254437791914934893
y[1] (numeric) = 3.4370531254017254437791914934889
absolute error = 4e-31
relative error = 1.1637876558956233437534037850427e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.648
y[1] (analytic) = 3.4389024767090125202260840762073
y[1] (numeric) = 3.4389024767090125202260840762069
absolute error = 4e-31
relative error = 1.1631618015024232166350200294819e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.649
y[1] (analytic) = 3.4407528025089500132692779969614
y[1] (numeric) = 3.4407528025089500132692779969611
absolute error = 3e-31
relative error = 8.7190221797173017446946919939459e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.65
y[1] (analytic) = 3.4426041023160621634275955254717
y[1] (numeric) = 3.4426041023160621634275955254714
absolute error = 3e-31
relative error = 8.7143334256230805259954226261379e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.651
y[1] (analytic) = 3.4444563756439992041180357451281
y[1] (numeric) = 3.4444563756439992041180357451278
absolute error = 3e-31
relative error = 8.7096472500369507808985866524592e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.652
y[1] (analytic) = 3.4463096220055378480055006068457
y[1] (numeric) = 3.4463096220055378480055006068454
absolute error = 3e-31
relative error = 8.7049636540032830614865522504228e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.653
y[1] (analytic) = 3.4481638409125817742260416622233
y[1] (numeric) = 3.4481638409125817742260416622231
absolute error = 2e-31
relative error = 5.8001884257062604529904325543733e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.654
y[1] (analytic) = 3.4500190318761621164831402528003
y[1] (numeric) = 3.4500190318761621164831402528
absolute error = 3e-31
relative error = 8.6956042047355422300797197212790e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.655
y[1] (analytic) = 3.4518751944064379520165330591705
y[1] (numeric) = 3.4518751944064379520165330591702
absolute error = 3e-31
relative error = 8.6909283535549741196288155158280e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.656
y[1] (analytic) = 3.4537323280126967914430940411704
y[1] (numeric) = 3.4537323280126967914430940411701
absolute error = 3e-31
relative error = 8.6862550860339030971803535333944e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.657
y[1] (analytic) = 3.455590432203355069469282928299
y[1] (numeric) = 3.4555904322033550694692829282987
absolute error = 3e-31
relative error = 8.6815844031815387896604683644704e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.658
y[1] (analytic) = 3.4574495064859586364746695479622
y[1] (numeric) = 3.457449506485958636474669547962
absolute error = 2e-31
relative error = 5.7846108706667308270891185791831e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.659
y[1] (analytic) = 3.459309550367183250966042408059
y[1] (numeric) = 3.4593095503671832509660424080587
absolute error = 3e-31
relative error = 8.6722507954848084525193880567915e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.66
y[1] (analytic) = 3.4611705633528350729016090798401
y[1] (numeric) = 3.4611705633528350729016090798398
absolute error = 3e-31
relative error = 8.6675878726239389321541591279505e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.661
y[1] (analytic) = 3.4630325449478511578847950568824
y[1] (numeric) = 3.4630325449478511578847950568822
absolute error = 2e-31
relative error = 5.7752850255991961597260356727957e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.662
y[1] (analytic) = 3.4648954946562999522271468964194
y[1] (numeric) = 3.4648954946562999522271468964192
absolute error = 2e-31
relative error = 5.7721798625224910266745233612309e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.663
y[1] (analytic) = 3.4667594119813817888798445801663
y[1] (numeric) = 3.466759411981381788879844580166
absolute error = 3e-31
relative error = 8.6536146397461961586837864959541e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.664
y[1] (analytic) = 3.468624296425429384233327163169
y[1] (numeric) = 3.4686242964254293842333271631688
absolute error = 2e-31
relative error = 5.7659747181644560925218068961972e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=480.6MB, alloc=4.5MB, time=24.75
x[1] = 3.665
y[1] (analytic) = 3.4704901474899083357845349110936
y[1] (numeric) = 3.4704901474899083357845349110934
absolute error = 2e-31
relative error = 5.7628747381592032013608501319135e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.666
y[1] (analytic) = 3.4723569646754176206712702587531
y[1] (numeric) = 3.4723569646754176206712702587529
absolute error = 2e-31
relative error = 5.7597764871128455413825116570439e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.667
y[1] (analytic) = 3.4742247474816900950731790555548
y[1] (numeric) = 3.4742247474816900950731790555546
absolute error = 2e-31
relative error = 5.7566799656519354935212698984825e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.668
y[1] (analytic) = 3.4760934954075929944788526969271
y[1] (numeric) = 3.476093495407592994478852696927
absolute error = 1e-31
relative error = 2.8767925871992230447440547670996e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.669
y[1] (analytic) = 3.4779632079511284348185508746662
y[1] (numeric) = 3.4779632079511284348185508746661
absolute error = 1e-31
relative error = 2.8752460569848896961323581727095e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.67
y[1] (analytic) = 3.4798338846094339144620438135202
y[1] (numeric) = 3.4798338846094339144620438135201
absolute error = 1e-31
relative error = 2.8737003924893874390511225107941e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.671
y[1] (analytic) = 3.481705524878782817081071996212
y[1] (numeric) = 3.4817055248787828170810719962119
absolute error = 1e-31
relative error = 2.8721555940168589099767602844980e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.672
y[1] (analytic) = 3.4835781282545849153759205144824
y[1] (numeric) = 3.4835781282545849153759205144823
absolute error = 1e-31
relative error = 2.8706116618691738361338987672616e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.673
y[1] (analytic) = 3.4854516942313868756656043196207
y[1] (numeric) = 3.4854516942313868756656043196206
absolute error = 1e-31
relative error = 2.8690685963459332285387323001797e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.674
y[1] (analytic) = 3.4873262223028727633411597823398
y[1] (numeric) = 3.4873262223028727633411597823397
absolute error = 1e-31
relative error = 2.8675263977444735756531726151926e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.675
y[1] (analytic) = 3.4892017119618645491815371087468
y[1] (numeric) = 3.4892017119618645491815371087468
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.676
y[1] (analytic) = 3.4910781627003226165315872965589
y[1] (numeric) = 3.4910781627003226165315872965588
absolute error = 1e-31
relative error = 2.8644446024849456410073812623202e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.677
y[1] (analytic) = 3.4929555740093462693416364536181
y[1] (numeric) = 3.4929555740093462693416364536181
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.678
y[1] (analytic) = 3.4948339453791742410681394391762
y[1] (numeric) = 3.4948339453791742410681394391762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.679
y[1] (analytic) = 3.4967132762991852044349039273352
y[1] (numeric) = 3.4967132762991852044349039273352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.68
y[1] (analytic) = 3.4985935662578982820543751314638
y[1] (numeric) = 3.4985935662578982820543751314638
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.681
y[1] (analytic) = 3.5004748147429735579084705683475
y[1] (numeric) = 3.5004748147429735579084705683475
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.682
y[1] (analytic) = 3.5023570212412125896884533812792
y[1] (numeric) = 3.5023570212412125896884533812792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.683
y[1] (analytic) = 3.5042401852385589219933318822607
y[1] (numeric) = 3.5042401852385589219933318822606
absolute error = 1e-31
relative error = 2.8536856697564604359204560368650e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.684
y[1] (analytic) = 3.5061243062200986003862721149578
y[1] (numeric) = 3.5061243062200986003862721149577
absolute error = 1e-31
relative error = 2.8521521562311217445822190372788e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.685
y[1] (analytic) = 3.5080093836700606863085093820397
y[1] (numeric) = 3.5080093836700606863085093820396
absolute error = 1e-31
relative error = 2.8506195127500067843696248868476e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.686
y[1] (analytic) = 3.5098954170718177728502438230335
y[1] (numeric) = 3.5098954170718177728502438230334
absolute error = 1e-31
relative error = 2.8490877395836050530072446387948e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.687
y[1] (analytic) = 3.5117824059078865013780042718413
y[1] (numeric) = 3.5117824059078865013780042718412
absolute error = 1e-31
relative error = 2.8475568370001960829862054033518e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.688
y[1] (analytic) = 3.5136703496599280790179637666
y[1] (numeric) = 3.5136703496599280790179637665999
absolute error = 1e-31
relative error = 2.8460268052658536401495736223073e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.689
y[1] (analytic) = 3.5155592478087487969946892286101
y[1] (numeric) = 3.51555924780874879699468922861
absolute error = 1e-31
relative error = 2.8444976446444499223766243952199e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.69
y[1] (analytic) = 3.5174490998343005498248069716278
y[1] (numeric) = 3.5174490998343005498248069716277
absolute error = 1e-31
relative error = 2.8429693553976597583329109621471e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.691
y[1] (analytic) = 3.5193399052156813553650648478981
y[1] (numeric) = 3.5193399052156813553650648478979
absolute error = 2e-31
relative error = 5.6828838755699296125063558037491e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.692
y[1] (analytic) = 3.5212316634311358757142709829096
y[1] (numeric) = 3.5212316634311358757142709829094
absolute error = 2e-31
relative error = 5.6798307841273155054485818422048e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.693
y[1] (analytic) = 3.5231243739580559389685881969769
y[1] (numeric) = 3.5231243739580559389685881969767
absolute error = 2e-31
relative error = 5.6767794369776930228709705748442e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=484.4MB, alloc=4.5MB, time=24.94
TOP MAIN SOLVE Loop
x[1] = 3.694
y[1] (analytic) = 3.5250180362729810618296623583977
y[1] (numeric) = 3.5250180362729810618296623583975
absolute error = 2e-31
relative error = 5.6737298346269168437267279915083e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.695
y[1] (analytic) = 3.5269126498515989730650620601016
y[1] (numeric) = 3.5269126498515989730650620601014
absolute error = 2e-31
relative error = 5.6706819775764888957184113055753e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.696
y[1] (analytic) = 3.5288082141687461378205061593938
y[1] (numeric) = 3.5288082141687461378205061593937
absolute error = 1e-31
relative error = 2.8338179331617833761062708154565e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.697
y[1] (analytic) = 3.5307047286984082827833548686099
y[1] (numeric) = 3.5307047286984082827833548686097
absolute error = 2e-31
relative error = 5.6645915013609720288298482523848e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.698
y[1] (analytic) = 3.5326021929137209221968392332338
y[1] (numeric) = 3.5326021929137209221968392332337
absolute error = 1e-31
relative error = 2.8307744415885993898235180482223e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.699
y[1] (analytic) = 3.5345006062869698847245029832952
y[1] (numeric) = 3.5345006062869698847245029832951
absolute error = 1e-31
relative error = 2.8292540061282109464731123171360e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.7
y[1] (analytic) = 3.5363999682895918411643298936456
y[1] (numeric) = 3.5363999682895918411643298936455
absolute error = 1e-31
relative error = 2.8277344445392527432242313889751e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.701
y[1] (analytic) = 3.5383002783921748330120289390322
y[1] (numeric) = 3.5383002783921748330120289390321
absolute error = 1e-31
relative error = 2.8262157570595056509839901788090e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.702
y[1] (analytic) = 3.5402015360644588018729486807272
y[1] (numeric) = 3.5402015360644588018729486807271
absolute error = 1e-31
relative error = 2.8246979439246035497120462458280e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.703
y[1] (analytic) = 3.5421037407753361197220914728426
y[1] (numeric) = 3.5421037407753361197220914728425
absolute error = 1e-31
relative error = 2.8231810053680375250739642900451e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.704
y[1] (analytic) = 3.5440068919928521200116972283602
y[1] (numeric) = 3.5440068919928521200116972283601
absolute error = 1e-31
relative error = 2.8216649416211600647107063804280e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.705
y[1] (analytic) = 3.5459109891842056296258656373375
y[1] (numeric) = 3.5459109891842056296258656373374
absolute error = 1e-31
relative error = 2.8201497529131892540930887333561e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.706
y[1] (analytic) = 3.5478160318157495016816848827119
y[1] (numeric) = 3.5478160318157495016816848827118
absolute error = 1e-31
relative error = 2.8186354394712129719301731024056e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.707
y[1] (analytic) = 3.5497220193529911491763340526186
y[1] (numeric) = 3.5497220193529911491763340526184
absolute error = 2e-31
relative error = 5.6342440030403861702013758486024e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.708
y[1] (analytic) = 3.5516289512605930794796256021635
y[1] (numeric) = 3.5516289512605930794796256021633
absolute error = 2e-31
relative error = 5.6312188785659392861534025802989e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.709
y[1] (analytic) = 3.5535368270023734296714533721552
y[1] (numeric) = 3.553536827002373429671453372155
absolute error = 2e-31
relative error = 5.6281955059605301436177891489953e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.71
y[1] (analytic) = 3.5554456460413065027236108273902
y[1] (numeric) = 3.5554456460413065027236108273901
absolute error = 1e-31
relative error = 2.8125869428306883670429121560805e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.711
y[1] (analytic) = 3.55735540783952330452544333272
y[1] (numeric) = 3.5573554078395233045254433327199
absolute error = 1e-31
relative error = 2.8110770090507392870363891020508e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.712
y[1] (analytic) = 3.5592661118583120817527974412905
y[1] (numeric) = 3.5592661118583120817527974412904
absolute error = 1e-31
relative error = 2.8095679518548125446463849608045e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.713
y[1] (analytic) = 3.5611777575581188605797293260513
y[1] (numeric) = 3.5611777575581188605797293260511
absolute error = 2e-31
relative error = 5.6161195429104039975141558318828e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.714
y[1] (analytic) = 3.5630903443985479862324336428694
y[1] (numeric) = 3.5630903443985479862324336428693
absolute error = 1e-31
relative error = 2.8065524680621048450176994942460e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.715
y[1] (analytic) = 3.5650038718383626633848532713656
y[1] (numeric) = 3.5650038718383626633848532713654
absolute error = 2e-31
relative error = 5.6100920837672516117216315851529e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.716
y[1] (analytic) = 3.5669183393354854973954295379058
y[1] (numeric) = 3.5669183393354854973954295379057
absolute error = 1e-31
relative error = 2.8035404931257813197711867910319e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.717
y[1] (analytic) = 3.568833746346999036384451684046
y[1] (numeric) = 3.5688337463469990363844516840459
absolute error = 1e-31
relative error = 2.8020358219925037297755607514980e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.718
y[1] (analytic) = 3.5707500923291463141514635031227
y[1] (numeric) = 3.5707500923291463141514635031226
absolute error = 1e-31
relative error = 2.8005320286856454711238859604843e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.719
y[1] (analytic) = 3.5726673767373313939321842276307
y[1] (numeric) = 3.5726673767373313939321842276306
absolute error = 1e-31
relative error = 2.7990291134049832581325471618560e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.72
y[1] (analytic) = 3.5745855990261199129943999105103
y[1] (numeric) = 3.5745855990261199129943999105102
absolute error = 1e-31
relative error = 2.7975270763482222701603589374770e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.721
y[1] (analytic) = 3.5765047586492396280722807044995
y[1] (numeric) = 3.5765047586492396280722807044994
absolute error = 1e-31
relative error = 2.7960259177110003366881730307402e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=488.3MB, alloc=4.5MB, time=25.13
TOP MAIN SOLVE Loop
x[1] = 3.722
y[1] (analytic) = 3.5784248550595809616385786052782
y[1] (numeric) = 3.578424855059580961638578605278
absolute error = 2e-31
relative error = 5.5890512753737842429461623366525e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.723
y[1] (analytic) = 3.5803458877091975490141593862528
y[1] (numeric) = 3.5803458877091975490141593862526
absolute error = 2e-31
relative error = 5.5860524729348266114966386362977e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.724
y[1] (analytic) = 3.5822678560493067863143216154954
y[1] (numeric) = 3.5822678560493067863143216154952
absolute error = 2e-31
relative error = 5.5830554284840495408802070503778e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.725
y[1] (analytic) = 3.5841907595302903792313548085626
y[1] (numeric) = 3.5841907595302903792313548085624
absolute error = 2e-31
relative error = 5.5800601423962735547455029813201e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.726
y[1] (analytic) = 3.5861145976016948926527879346831
y[1] (numeric) = 3.5861145976016948926527879346829
absolute error = 2e-31
relative error = 5.5770666150422262988671358051529e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.727
y[1] (analytic) = 3.5880393697122323011147786581109
y[1] (numeric) = 3.5880393697122323011147786581107
absolute error = 2e-31
relative error = 5.5740748467885508993381903723991e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.728
y[1] (analytic) = 3.5899650753097805400900928613002
y[1] (numeric) = 3.5899650753097805400900928613
absolute error = 2e-31
relative error = 5.5710848379978143185689096398724e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.729
y[1] (analytic) = 3.5918917138413840581101231619689
y[1] (numeric) = 3.5918917138413840581101231619687
absolute error = 2e-31
relative error = 5.5680965890285157090352553099039e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.73
y[1] (analytic) = 3.5938192847532543697203943020784
y[1] (numeric) = 3.5938192847532543697203943020782
absolute error = 2e-31
relative error = 5.5651101002350947647212895679638e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.731
y[1] (analytic) = 3.5957477874907706092690024532699
y[1] (numeric) = 3.5957477874907706092690024532698
absolute error = 1e-31
relative error = 2.7810626859839700350997834254968e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.732
y[1] (analytic) = 3.5976772214984800855274346503644
y[1] (numeric) = 3.5976772214984800855274346503643
absolute error = 1e-31
relative error = 2.7795712022866987236469850224582e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.733
y[1] (analytic) = 3.5996075862200988371432137321527
y[1] (numeric) = 3.5996075862200988371432137321526
absolute error = 1e-31
relative error = 2.7780805991968891496348352993263e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.734
y[1] (analytic) = 3.6015388810985121889238133368774
y[1] (numeric) = 3.6015388810985121889238133368773
absolute error = 1e-31
relative error = 2.7765908768836839762475683757257e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.735
y[1] (analytic) = 3.6034711055757753089512866685382
y[1] (numeric) = 3.603471105575775308951286668538
absolute error = 2e-31
relative error = 5.5502040710284339955213583984144e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.736
y[1] (analytic) = 3.6054042590931137665270519194369
y[1] (numeric) = 3.6054042590931137665270519194367
absolute error = 2e-31
relative error = 5.5472281505072346155237010636770e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.737
y[1] (analytic) = 3.6073383410909240909462764042257
y[1] (numeric) = 3.6073383410909240909462764042255
absolute error = 2e-31
relative error = 5.5442539925300269320520450098147e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.738
y[1] (analytic) = 3.6092733510087743311013006311182
y[1] (numeric) = 3.609273351008774331101300631118
absolute error = 2e-31
relative error = 5.5412815974190753280351086836636e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.739
y[1] (analytic) = 3.6112092882854046159135427068883
y[1] (numeric) = 3.6112092882854046159135427068881
absolute error = 2e-31
relative error = 5.5383109654926597779850984808757e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.74
y[1] (analytic) = 3.6131461523587277155933226437975
y[1] (numeric) = 3.6131461523587277155933226437972
absolute error = 3e-31
relative error = 8.3030131455976262600236038033610e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.741
y[1] (analytic) = 3.6150839426658296037270453086738
y[1] (numeric) = 3.6150839426658296037270453086736
absolute error = 2e-31
relative error = 5.5323749924466846449536215721161e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.742
y[1] (analytic) = 3.6170226586429700201911799270068
y[1] (numeric) = 3.6170226586429700201911799270066
absolute error = 2e-31
relative error = 5.5294096519438378824898047913112e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.743
y[1] (analytic) = 3.6189622997255830348924732281244
y[1] (numeric) = 3.6189622997255830348924732281242
absolute error = 2e-31
relative error = 5.5264460758589694509853333015513e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.744
y[1] (analytic) = 3.6209028653482776123338324912871
y[1] (numeric) = 3.6209028653482776123338324912869
absolute error = 2e-31
relative error = 5.5234842644905621042114677443046e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.745
y[1] (analytic) = 3.6228443549448381770053139268626
y[1] (numeric) = 3.6228443549448381770053139268624
absolute error = 2e-31
relative error = 5.5205242181331640949721505014251e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.746
y[1] (analytic) = 3.62478676794822517959965100164
y[1] (numeric) = 3.6247867679482251795996510016397
absolute error = 3e-31
relative error = 8.2763489056160962233348393103346e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.747
y[1] (analytic) = 3.6267301037905756640517564928017
y[1] (numeric) = 3.6267301037905756640517564928014
absolute error = 3e-31
relative error = 8.2719141324149496524547258240610e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.748
y[1] (analytic) = 3.6286743619032038354016312310998
y[1] (numeric) = 3.6286743619032038354016312310995
absolute error = 3e-31
relative error = 8.2674820080204982993352448140641e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.749
y[1] (analytic) = 3.6306195417166016284801116703736
y[1] (numeric) = 3.6306195417166016284801116703733
absolute error = 3e-31
relative error = 8.2630525328510820954517093353863e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=492.1MB, alloc=4.5MB, time=25.33
TOP MAIN SOLVE Loop
x[1] = 3.75
y[1] (analytic) = 3.6325656426604392774168875977093
y[1] (numeric) = 3.632565642660439277416887597709
absolute error = 3e-31
relative error = 8.2586257073192014751213611621912e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.751
y[1] (analytic) = 3.6345126641635658859702204762713
y[1] (numeric) = 3.634512664163565885970220476271
absolute error = 3e-31
relative error = 8.2542015318315298112465800488037e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.752
y[1] (analytic) = 3.6364606056540099986777920911344
y[1] (numeric) = 3.6364606056540099986777920911341
absolute error = 3e-31
relative error = 8.2497800067889258458412198250499e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.753
y[1] (analytic) = 3.6384094665589801728281123473156
y[1] (numeric) = 3.6384094665589801728281123473153
absolute error = 3e-31
relative error = 8.2453611325864461152643197811122e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.754
y[1] (analytic) = 3.6403592463048655512519142486456
y[1] (numeric) = 3.6403592463048655512519142486453
absolute error = 3e-31
relative error = 8.2409449096133573700857948686567e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.755
y[1] (analytic) = 3.6423099443172364359329632661325
y[1] (numeric) = 3.6423099443172364359329632661322
absolute error = 3e-31
relative error = 8.2365313382531489895090626884072e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.756
y[1] (analytic) = 3.6442615600208448624377074850566
y[1] (numeric) = 3.6442615600208448624377074850563
absolute error = 3e-31
relative error = 8.2321204188835453902759190471049e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.757
y[1] (analytic) = 3.6462140928396251751631941011934
y[1] (numeric) = 3.6462140928396251751631941011931
absolute error = 3e-31
relative error = 8.2277121518765184299793270464203e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.758
y[1] (analytic) = 3.6481675421966946034026770182967
y[1] (numeric) = 3.6481675421966946034026770182964
absolute error = 3e-31
relative error = 8.2233065375982998047101372103973e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.759
y[1] (analytic) = 3.6501219075143538382283394812823
y[1] (numeric) = 3.650121907514353838228339481282
absolute error = 3e-31
relative error = 8.2189035764093934409641080639780e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.76
y[1] (analytic) = 3.6520771882140876101905548624369
y[1] (numeric) = 3.6520771882140876101905548624366
absolute error = 3e-31
relative error = 8.2145032686645878817359478406556e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.761
y[1] (analytic) = 3.654033383716565267833107901441
y[1] (numeric) = 3.6540333837165652678331079014406
absolute error = 4e-31
relative error = 1.0946807486283958222303264826588e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.762
y[1] (analytic) = 3.6559904934416413570237978840309
y[1] (numeric) = 3.6559904934416413570237978840306
absolute error = 3e-31
relative error = 8.2057106148979307065971341727562e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.763
y[1] (analytic) = 3.6579485168083562010998444287473
y[1] (numeric) = 3.657948516808356201099844428747
absolute error = 3e-31
relative error = 8.2013182695571906511791921227197e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.764
y[1] (analytic) = 3.6599074532349364818275157364101
y[1] (numeric) = 3.6599074532349364818275157364098
absolute error = 3e-31
relative error = 8.1969285790227992515998097112781e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.765
y[1] (analytic) = 3.6618673021387958211753983427424
y[1] (numeric) = 3.6618673021387958211753983427422
absolute error = 2e-31
relative error = 5.4616943624141024774795869883018e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.766
y[1] (analytic) = 3.6638280629365353639007266009209
y[1] (numeric) = 3.6638280629365353639007266009207
absolute error = 2e-31
relative error = 5.4587714424486733735529310509087e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.767
y[1] (analytic) = 3.6657897350439443609481893077713
y[1] (numeric) = 3.6657897350439443609481893077711
absolute error = 2e-31
relative error = 5.4558502929956636330221253582762e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.768
y[1] (analytic) = 3.6677523178760007536606300748528
y[1] (numeric) = 3.6677523178760007536606300748525
absolute error = 3e-31
relative error = 8.1793963713921205367400166008717e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.769
y[1] (analytic) = 3.6697158108468717588010572337771
y[1] (numeric) = 3.6697158108468717588010572337768
absolute error = 3e-31
relative error = 8.1750199596727917927023768183232e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.77
y[1] (analytic) = 3.6716802133699144543853782538038
y[1] (numeric) = 3.6716802133699144543853782538035
absolute error = 3e-31
relative error = 8.1706462046338238300267021160628e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.771
y[1] (analytic) = 3.6736455248576763663252728390239
y[1] (numeric) = 3.6736455248576763663252728390237
absolute error = 2e-31
relative error = 5.4441834043786344803920116323956e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.772
y[1] (analytic) = 3.6756117447218960558806180623093
y[1] (numeric) = 3.6756117447218960558806180623091
absolute error = 2e-31
relative error = 5.4412711105082288708529490734098e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.773
y[1] (analytic) = 3.6775788723735037079208780836503
y[1] (numeric) = 3.6775788723735037079208780836501
absolute error = 2e-31
relative error = 5.4383605883324076686850939986388e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.774
y[1] (analytic) = 3.6795469072226217199948701915423
y[1] (numeric) = 3.679546907222621719994870191542
absolute error = 3e-31
relative error = 8.1531777570528265980061826813682e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.775
y[1] (analytic) = 3.6815158486785652922083180977028
y[1] (numeric) = 3.6815158486785652922083180977026
absolute error = 2e-31
relative error = 5.4325448597970190266520453431910e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.776
y[1] (analytic) = 3.6834856961498430179086026076167
y[1] (numeric) = 3.6834856961498430179086026076164
absolute error = 3e-31
relative error = 8.1444594806917392227003287448380e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.777
y[1] (analytic) = 3.6854564490441574751761189822057
y[1] (numeric) = 3.6854564490441574751761189822054
absolute error = 3e-31
relative error = 8.1401043303009747613228995925656e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=495.9MB, alloc=4.5MB, time=25.53
x[1] = 3.778
y[1] (analytic) = 3.687428106768405819121649499317
y[1] (numeric) = 3.6874281067684058191216494993167
absolute error = 3e-31
relative error = 8.1357518387772577617148246451210e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.779
y[1] (analytic) = 3.689400668728680374989158917705
y[1] (numeric) = 3.6894006687286803749891589177047
absolute error = 3e-31
relative error = 8.1314020063691295826510495621819e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.78
y[1] (analytic) = 3.6913741343302692320634197407623
y[1] (numeric) = 3.691374134330269232063419740762
absolute error = 3e-31
relative error = 8.1270548333196625907934075898657e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.781
y[1] (analytic) = 3.6933485029776568383818733724229
y[1] (numeric) = 3.6933485029776568383818733724226
absolute error = 3e-31
relative error = 8.1227103198664724083997446769858e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.782
y[1] (analytic) = 3.6953237740745245962501324534264
y[1] (numeric) = 3.6953237740745245962501324534261
absolute error = 3e-31
relative error = 8.1183684662417301536954656032460e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.783
y[1] (analytic) = 3.6972999470237514585605288624905
y[1] (numeric) = 3.6972999470237514585605288624902
absolute error = 3e-31
relative error = 8.1140292726721746738421189545540e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.784
y[1] (analytic) = 3.6992770212274145259131110638935
y[1] (numeric) = 3.6992770212274145259131110638933
absolute error = 2e-31
relative error = 5.4064618262527498469586493434823e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.785
y[1] (analytic) = 3.7012549960867896445384936805195
y[1] (numeric) = 3.7012549960867896445384936805193
absolute error = 2e-31
relative error = 5.4035725777189942783239181257470e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.786
y[1] (analytic) = 3.7032338710023520050219613695657
y[1] (numeric) = 3.7032338710023520050219613695654
absolute error = 3e-31
relative error = 8.1010276544807899717640094050113e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.787
y[1] (analytic) = 3.7052136453737767418282282768584
y[1] (numeric) = 3.7052136453737767418282282768581
absolute error = 3e-31
relative error = 8.0966991032911523755354991262260e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.788
y[1] (analytic) = 3.707194318599939533626253545069
y[1] (numeric) = 3.7071943185999395336262535450687
absolute error = 3e-31
relative error = 8.0923732132093393515331780095291e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.789
y[1] (analytic) = 3.7091758900789172044135125510626
y[1] (numeric) = 3.7091758900789172044135125510623
absolute error = 3e-31
relative error = 8.0880499844297525901560980460783e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.79
y[1] (analytic) = 3.7111583592079883254391227481598
y[1] (numeric) = 3.7111583592079883254391227481595
absolute error = 3e-31
relative error = 8.0837294171414469288147600408458e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.791
y[1] (analytic) = 3.7131417253836338179252221902352
y[1] (numeric) = 3.7131417253836338179252221902348
absolute error = 4e-31
relative error = 1.0772548682037523364483111532309e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.792
y[1] (analytic) = 3.7151259880015375565859980163243
y[1] (numeric) = 3.7151259880015375565859980163239
absolute error = 4e-31
relative error = 1.0766795023690982682065971772201e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.793
y[1] (analytic) = 3.7171111464565869739437613767611
y[1] (numeric) = 3.7171111464565869739437613767608
absolute error = 3e-31
relative error = 8.0707836860348176684407075044956e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.794
y[1] (analytic) = 3.7190972001428736654414644848215
y[1] (numeric) = 3.7190972001428736654414644848212
absolute error = 3e-31
relative error = 8.0664737664956735537305524650130e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.795
y[1] (analytic) = 3.7210841484536939953510546814052
y[1] (numeric) = 3.7210841484536939953510546814049
absolute error = 3e-31
relative error = 8.0621665093133076508981380471155e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.796
y[1] (analytic) = 3.7230719907815497034770596044544
y[1] (numeric) = 3.723071990781549703477059604454
absolute error = 4e-31
relative error = 1.0743815886193265330852098598038e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.797
y[1] (analytic) = 3.7250607265181485126547967595721
y[1] (numeric) = 3.7250607265181485126547967595717
absolute error = 4e-31
relative error = 1.0738079976856753081351892833780e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.798
y[1] (analytic) = 3.727050355054404737042599993684
y[1] (numeric) = 3.7270503550544047370425999936835
absolute error = 5e-31
relative error = 1.3415434522421454327921320169072e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.799
y[1] (analytic) = 3.729040875780439891207454579565
y[1] (numeric) = 3.7290408757804398912074545795645
absolute error = 5e-31
relative error = 1.3408273512028920433593357810493e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.8
y[1] (analytic) = 3.7310322880855833000034318256493
y[1] (numeric) = 3.7310322880855833000034318256488
absolute error = 5e-31
relative error = 1.3401116940120430335051713408721e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.801
y[1] (analytic) = 3.7330245913583727092423133327373
y[1] (numeric) = 3.7330245913583727092423133327368
absolute error = 5e-31
relative error = 1.3393964806914385671843513828270e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.802
y[1] (analytic) = 3.735017784986554897155794227028
y[1] (numeric) = 3.7350177849865548971557942270276
absolute error = 4e-31
relative error = 1.0709453690096415352482345763396e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.803
y[1] (analytic) = 3.7370118683570862866486539073241
y[1] (numeric) = 3.7370118683570862866486539073237
absolute error = 4e-31
relative error = 1.0703739085951931891627957678515e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.804
y[1] (analytic) = 3.7390068408561335583422820532889
y[1] (numeric) = 3.7390068408561335583422820532885
absolute error = 4e-31
relative error = 1.0698028033252022398719778953848e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.805
y[1] (analytic) = 3.7410027018690742644079468512823
y[1] (numeric) = 3.7410027018690742644079468512818
absolute error = 5e-31
relative error = 1.3365400665179705318900667656790e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=499.7MB, alloc=4.5MB, time=25.72
x[1] = 3.806
y[1] (analytic) = 3.7429994507804974431891916045565
y[1] (numeric) = 3.7429994507804974431891916045561
absolute error = 4e-31
relative error = 1.0686616582767364040303788012611e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.807
y[1] (analytic) = 3.7449970869742042346127451054682
y[1] (numeric) = 3.7449970869742042346127451054678
absolute error = 4e-31
relative error = 1.0680916185256173580579290258152e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.808
y[1] (analytic) = 3.746995609833208496387330358846
y[1] (numeric) = 3.7469956098332084963873303588455
absolute error = 5e-31
relative error = 1.3344024174670882482388915721793e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.809
y[1] (analytic) = 3.7489950187397374209897554577573
y[1] (numeric) = 3.7489950187397374209897554577568
absolute error = 5e-31
relative error = 1.3336907557910814593441072526254e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.81
y[1] (analytic) = 3.750995313075232153437669625635
y[1] (numeric) = 3.7509953130752321534376696256345
absolute error = 5e-31
relative error = 1.3329795381431117983530104778491e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.811
y[1] (analytic) = 3.7529964922203484098483666520585
y[1] (numeric) = 3.7529964922203484098483666520579
absolute error = 6e-31
relative error = 1.5987225174437290775630431047676e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.812
y[1] (analytic) = 3.7549985555549570967830171634376
y[1] (numeric) = 3.7549985555549570967830171634371
absolute error = 5e-31
relative error = 1.3315584349834835546893114716029e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.813
y[1] (analytic) = 3.7570015024581449313757103844201
y[1] (numeric) = 3.7570015024581449313757103844196
absolute error = 5e-31
relative error = 1.3308485494958097258220842064061e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.814
y[1] (analytic) = 3.7590053323082150622466852610297
y[1] (numeric) = 3.7590053323082150622466852610292
absolute error = 5e-31
relative error = 1.3301391080841465249629750630287e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.815
y[1] (analytic) = 3.7610100444826876911991300323584
y[1] (numeric) = 3.7610100444826876911991300323579
absolute error = 5e-31
relative error = 1.3294301107583802159150611759723e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.816
y[1] (analytic) = 3.7630156383583006956989285540635
y[1] (numeric) = 3.763015638358300695698928554063
absolute error = 5e-31
relative error = 1.3287215575275582050471701963527e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.817
y[1] (analytic) = 3.7650221133110102521367308939749
y[1] (numeric) = 3.7650221133110102521367308939744
absolute error = 5e-31
relative error = 1.3280134483998910320801561856138e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.818
y[1] (analytic) = 3.7670294687159914598717249377952
y[1] (numeric) = 3.7670294687159914598717249377947
absolute error = 5e-31
relative error = 1.3273057833827543592923118060931e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.819
y[1] (analytic) = 3.7690377039476389660564849611715
y[1] (numeric) = 3.769037703947638966056484961171
absolute error = 5e-31
relative error = 1.3265985624826909591349565436533e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.82
y[1] (analytic) = 3.7710468183795675912422723433438
y[1] (numeric) = 3.7710468183795675912422723433433
absolute error = 5e-31
relative error = 1.3258917857054127002492922525584e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.821
y[1] (analytic) = 3.77305681138461295576416281712
y[1] (numeric) = 3.7730568113846129557641628171195
absolute error = 5e-31
relative error = 1.3251854530558025318756687438877e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.822
y[1] (analytic) = 3.7750676823348321069053738701039
y[1] (numeric) = 3.7750676823348321069053738701034
absolute error = 5e-31
relative error = 1.3244795645379164666464534458647e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.823
y[1] (analytic) = 3.7770794306015041468401651329
y[1] (numeric) = 3.7770794306015041468401651328995
absolute error = 5e-31
relative error = 1.3237741201549855617537503473803e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.824
y[1] (analytic) = 3.7790920555551308613546838114475
y[1] (numeric) = 3.779092055555130861354683811447
absolute error = 5e-31
relative error = 1.3230691199094178984832644945317e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.825
y[1] (analytic) = 3.7811055565654373493451264426902
y[1] (numeric) = 3.7811055565654373493451264426896
absolute error = 6e-31
relative error = 1.5868374765633606721267910928451e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.826
y[1] (analytic) = 3.7831199330013726530925874754732
y[1] (numeric) = 3.7831199330013726530925874754727
absolute error = 5e-31
relative error = 1.3216604518359016081168042867547e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.827
y[1] (analytic) = 3.7851351842311103893139644018709
y[1] (numeric) = 3.7851351842311103893139644018704
absolute error = 5e-31
relative error = 1.3209567840086720568183631390711e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.828
y[1] (analytic) = 3.787151309622049380988288388092
y[1] (numeric) = 3.7871513096220493809882883880915
absolute error = 5e-31
relative error = 1.3202535603202478462302193595309e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.829
y[1] (analytic) = 3.7891683085408142899578485786858
y[1] (numeric) = 3.7891683085408142899578485786853
absolute error = 5e-31
relative error = 1.3195507807689518133262911825075e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.83
y[1] (analytic) = 3.7911861803532562503034774729765
y[1] (numeric) = 3.791186180353256250303477472976
absolute error = 5e-31
relative error = 1.3188484453522956615853345699479e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.831
y[1] (analytic) = 3.7932049244244535024933639984935
y[1] (numeric) = 3.793204924424453502493363998493
absolute error = 5e-31
relative error = 1.3181465540669819288483848660149e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.832
y[1] (analytic) = 3.7952245401187120283047601326378
y[1] (numeric) = 3.7952245401187120283047601326373
absolute error = 5e-31
relative error = 1.3174451069089059534745372977266e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.833
y[1] (analytic) = 3.7972450267995661865179461509302
y[1] (numeric) = 3.7972450267995661865179461509297
absolute error = 5e-31
relative error = 1.3167441038731578387868164972887e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=503.5MB, alloc=4.5MB, time=25.90
x[1] = 3.834
y[1] (analytic) = 3.7992663838297793493818188079294
y[1] (numeric) = 3.7992663838297793493818188079288
absolute error = 6e-31
relative error = 1.5792522539448292989599220343408e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.835
y[1] (analytic) = 3.8012886105713445398504659852845
y[1] (numeric) = 3.8012886105713445398504659852839
absolute error = 6e-31
relative error = 1.5784121161739894450661486977046e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.836
y[1] (analytic) = 3.803311706385485069590090570401
y[1] (numeric) = 3.8033117063854850695900905704005
absolute error = 5e-31
relative error = 1.3146437594387443717206010510232e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.837
y[1] (analytic) = 3.8053356706326551777556455588492
y[1] (numeric) = 3.8053356706326551777556455588487
absolute error = 5e-31
relative error = 1.3139445328271726914496261507664e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.838
y[1] (analytic) = 3.8073605026725406705365416039323
y[1] (numeric) = 3.8073605026725406705365416039318
absolute error = 5e-31
relative error = 1.3132457503013694978214735061602e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.839
y[1] (analytic) = 3.809386201864059561470787467762
y[1] (numeric) = 3.8093862018640595614707874677615
absolute error = 5e-31
relative error = 1.3125474118516346405240363559119e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.84
y[1] (analytic) = 3.8114127675653627125269230597523
y[1] (numeric) = 3.8114127675653627125269230597518
absolute error = 5e-31
relative error = 1.3118495174674764367701590343739e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.841
y[1] (analytic) = 3.8134401991338344759531039806532
y[1] (numeric) = 3.8134401991338344759531039806527
absolute error = 5e-31
relative error = 1.3111520671376136217731753327402e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.842
y[1] (analytic) = 3.8154684959260933368926957230932
y[1] (numeric) = 3.8154684959260933368926957230926
absolute error = 6e-31
relative error = 1.5725460730199727569286163588555e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.843
y[1] (analytic) = 3.8174976572979925567657349130889
y[1] (numeric) = 3.8174976572979925567657349130883
absolute error = 6e-31
relative error = 1.5717101983100554551331336474791e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.844
y[1] (analytic) = 3.8195276826046208174156142111156
y[1] (numeric) = 3.8195276826046208174156142111151
absolute error = 5e-31
relative error = 1.3090623803491820414944299598036e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.845
y[1] (analytic) = 3.8215585712003028660203467261068
y[1] (numeric) = 3.8215585712003028660203467261062
absolute error = 6e-31
relative error = 1.5700400473295575923682915582133e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.846
y[1] (analytic) = 3.8235903224386001607677650311711
y[1] (numeric) = 3.8235903224386001607677650311705
absolute error = 6e-31
relative error = 1.5692057710234329065109025155000e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.847
y[1] (analytic) = 3.8256229356723115172940091058837
y[1] (numeric) = 3.8256229356723115172940091058831
absolute error = 6e-31
relative error = 1.5683720274814709156699602810703e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.848
y[1] (analytic) = 3.8276564102534737558846567667156
y[1] (numeric) = 3.827656410253473755884656766715
absolute error = 6e-31
relative error = 1.5675388166835669684991986551980e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.849
y[1] (analytic) = 3.8296907455333623494378493845264
y[1] (numeric) = 3.8296907455333623494378493845258
absolute error = 6e-31
relative error = 1.5667061386086875620639622930094e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.85
y[1] (analytic) = 3.8317259408624920721887649260472
y[1] (numeric) = 3.8317259408624920721887649260466
absolute error = 6e-31
relative error = 1.5658739932348726628367264193852e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.851
y[1] (analytic) = 3.8337619955906176491947895949357
y[1] (numeric) = 3.8337619955906176491947895949351
absolute error = 6e-31
relative error = 1.5650423805392380254726005529672e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.852
y[1] (analytic) = 3.8357989090667344065807385872856
y[1] (numeric) = 3.8357989090667344065807385872849
absolute error = 7e-31
relative error = 1.8249131839143070942486970859135e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.853
y[1] (analytic) = 3.8378366806390789225434757164235
y[1] (numeric) = 3.8378366806390789225434757164228
absolute error = 7e-31
relative error = 1.8239442119340929583949233998680e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.854
y[1] (analytic) = 3.8398753096551296791152809024288
y[1] (numeric) = 3.8398753096551296791152809024281
absolute error = 7e-31
relative error = 1.8229758613252184666018036079335e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.855
y[1] (analytic) = 3.841914795461607714685313763062
y[1] (numeric) = 3.8419147954616077146853137630614
absolute error = 6e-31
relative error = 1.5617212560485994380361910836364e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.856
y[1] (analytic) = 3.843955137404477277278520784694
y[1] (numeric) = 3.8439551374044772772785207846933
absolute error = 7e-31
relative error = 1.8210410240964865570856853517777e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.857
y[1] (analytic) = 3.8459963348289464785913327943813
y[1] (numeric) = 3.8459963348289464785913327943806
absolute error = 7e-31
relative error = 1.8200745374114689994499130934195e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.858
y[1] (analytic) = 3.8480383870794679487834986974471
y[1] (numeric) = 3.8480383870794679487834986974464
absolute error = 7e-31
relative error = 1.8191086719674761823586949238113e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.859
y[1] (analytic) = 3.8500812934997394920254006887862
y[1] (numeric) = 3.8500812934997394920254006887855
absolute error = 7e-31
relative error = 1.8181434277292809170295221466696e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.86
y[1] (analytic) = 3.8521250534327047428001953906352
y[1] (numeric) = 3.8521250534327047428001953906345
absolute error = 7e-31
relative error = 1.8171788046606019964812829019283e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.861
y[1] (analytic) = 3.8541696662205538229601246147204
y[1] (numeric) = 3.8541696662205538229601246147198
absolute error = 6e-31
relative error = 1.5567555451920916065591574177362e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=507.3MB, alloc=4.5MB, time=26.09
x[1] = 3.862
y[1] (analytic) = 3.8562151312047239995363386925284
y[1] (numeric) = 3.8562151312047239995363386925278
absolute error = 6e-31
relative error = 1.5559297901840694349881127028445e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.863
y[1] (analytic) = 3.8582614477259003433015745639292
y[1] (numeric) = 3.8582614477259003433015745639286
absolute error = 6e-31
relative error = 1.5551045675083690254067503288291e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.864
y[1] (analytic) = 3.860308615124016388085030061531
y[1] (numeric) = 3.8603086151240163880850300615303
absolute error = 7e-31
relative error = 1.8133265233186849218166023902813e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.865
y[1] (analytic) = 3.8623566327382547908387750759446
y[1] (numeric) = 3.862356632738254790838775075944
absolute error = 6e-31
relative error = 1.5534557190142854402994989294864e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.866
y[1] (analytic) = 3.8644054999070479924550395356044
y[1] (numeric) = 3.8644054999070479924550395356037
absolute error = 7e-31
relative error = 1.8114041086444923154088501412360e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.867
y[1] (analytic) = 3.8664552159680788793337173839093
y[1] (numeric) = 3.8664552159680788793337173839086
absolute error = 7e-31
relative error = 1.8104438326585783467773189517646e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.868
y[1] (analytic) = 3.8685057802582814456994249862386
y[1] (numeric) = 3.8685057802582814456994249862379
absolute error = 7e-31
relative error = 1.8094841775143072968761002490300e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.869
y[1] (analytic) = 3.8705571921138414566674516498367
y[1] (numeric) = 3.870557192113841456667451649836
absolute error = 7e-31
relative error = 1.8085251431660320143597215124590e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.87
y[1] (analytic) = 3.8726094508701971120579391906727
y[1] (numeric) = 3.872609450870197112057939190672
absolute error = 7e-31
relative error = 1.8075667295670779949366478887070e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.871
y[1] (analytic) = 3.8746625558620397109576267331506
y[1] (numeric) = 3.8746625558620397109576267331499
absolute error = 7e-31
relative error = 1.8066089366697460327405844894431e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.872
y[1] (analytic) = 3.8767165064233143170284961809799
y[1] (numeric) = 3.8767165064233143170284961809792
absolute error = 7e-31
relative error = 1.8056517644253148689100968682727e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.873
y[1] (analytic) = 3.878771301887220424562653050618
y[1] (numeric) = 3.8787713018872204245626530506173
absolute error = 7e-31
relative error = 1.8046952127840438373676502406573e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.874
y[1] (analytic) = 3.8808269415862126252827766124574
y[1] (numeric) = 3.8808269415862126252827766124567
absolute error = 7e-31
relative error = 1.8037392816951755077892305922098e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.875
y[1] (analytic) = 3.8828834248520012758874725393644
y[1] (numeric) = 3.8828834248520012758874725393636
absolute error = 8e-31
relative error = 2.0603245384079295151494551109570e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.876
y[1] (analytic) = 3.8849407510155531663408605172714
y[1] (numeric) = 3.8849407510155531663408605172707
absolute error = 7e-31
relative error = 1.8018292809665492500776864893612e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.877
y[1] (analytic) = 3.8869989194070921889057285282922
y[1] (numeric) = 3.8869989194070921889057285282915
absolute error = 7e-31
relative error = 1.8008752112202163872838205711811e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.878
y[1] (analytic) = 3.8890579293561000079195847732595
y[1] (numeric) = 3.8890579293561000079195847732588
absolute error = 7e-31
relative error = 1.7999217618131416232662929022781e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.879
y[1] (analytic) = 3.891117780191316730312937457691
y[1] (numeric) = 3.8911177801913167303129374576903
absolute error = 7e-31
relative error = 1.7989689326895232520726436458301e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.88
y[1] (analytic) = 3.8931784712407415768691319229587
y[1] (numeric) = 3.893178471240741576869131922958
absolute error = 7e-31
relative error = 1.7980167237925586018368560459605e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.881
y[1] (analytic) = 3.8952400018316335542250738628802
y[1] (numeric) = 3.8952400018316335542250738628795
absolute error = 7e-31
relative error = 1.7970651350644466578408378321385e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.882
y[1] (analytic) = 3.8973023712905121276121666250656
y[1] (numeric) = 3.8973023712905121276121666250649
absolute error = 7e-31
relative error = 1.7961141664463906826980209854983e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.883
y[1] (analytic) = 3.8993655789431578943367898561382
y[1] (numeric) = 3.8993655789431578943367898561375
absolute error = 7e-31
relative error = 1.7951638178786008336507981366038e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.884
y[1] (analytic) = 3.9014296241146132579996460104062
y[1] (numeric) = 3.9014296241146132579996460104055
absolute error = 7e-31
relative error = 1.7942140893002967769735746434525e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.885
y[1] (analytic) = 3.9034945061291831034533005026962
y[1] (numeric) = 3.9034945061291831034533005026955
absolute error = 7e-31
relative error = 1.7932649806497102994732759975523e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.886
y[1] (analytic) = 3.905560224310435472497240547863
y[1] (numeric) = 3.9055602243104354724972405478623
absolute error = 7e-31
relative error = 1.7923164918640879170792106247274e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.887
y[1] (analytic) = 3.9076267779812022403097769919746
y[1] (numeric) = 3.9076267779812022403097769919739
absolute error = 7e-31
relative error = 1.7913686228796934805142483859309e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.888
y[1] (analytic) = 3.9096941664635797926161127033261
y[1] (numeric) = 3.9096941664635797926161127033255
absolute error = 6e-31
relative error = 1.5346468916844092383194301215248e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.889
y[1] (analytic) = 3.9117623890789297035919003552711
y[1] (numeric) = 3.9117623890789297035919003552705
absolute error = 6e-31
relative error = 1.5338354949040681159400773909726e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.89
y[1] (analytic) = 3.9138314451478794145016116973683
y[1] (numeric) = 3.9138314451478794145016116973677
absolute error = 6e-31
relative error = 1.5330246292129980102951090390372e-29 %
Correct digits = 30
h = 0.001
memory used=511.1MB, alloc=4.5MB, time=26.29
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.891
y[1] (analytic) = 3.9159013339903229130710396765322
y[1] (numeric) = 3.9159013339903229130710396765316
absolute error = 6e-31
relative error = 1.5322142945532210824906823708757e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.892
y[1] (analytic) = 3.9179720549254214135932540357406
y[1] (numeric) = 3.91797205492542141359325403574
absolute error = 6e-31
relative error = 1.5314044908659283385689496571400e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.893
y[1] (analytic) = 3.9200436072716040377673302844017
y[1] (numeric) = 3.9200436072716040377673302844011
absolute error = 6e-31
relative error = 1.5305952180914818477882779406608e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.894
y[1] (analytic) = 3.922115990346568496269171201707
y[1] (numeric) = 3.9221159903465684962691712017064
absolute error = 6e-31
relative error = 1.5297864761694169583549340312601e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.895
y[1] (analytic) = 3.9241892034672817710537393022064
y[1] (numeric) = 3.9241892034672817710537393022058
absolute error = 6e-31
relative error = 1.5289782650384445105997510286075e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.896
y[1] (analytic) = 3.9262632459499807983880179614294
y[1] (numeric) = 3.9262632459499807983880179614288
absolute error = 6e-31
relative error = 1.5281705846364530475933429570616e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.897
y[1] (analytic) = 3.9283381171101731526140181686483
y[1] (numeric) = 3.9283381171101731526140181686477
absolute error = 6e-31
relative error = 1.5273634349005110231934841862814e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.898
y[1] (analytic) = 3.9304138162626377306411471438337
y[1] (numeric) = 3.9304138162626377306411471438331
absolute error = 6e-31
relative error = 1.5265568157668690075183202471038e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.899
y[1] (analytic) = 3.9324903427214254371672543264904
y[1] (numeric) = 3.9324903427214254371672543264898
absolute error = 6e-31
relative error = 1.5257507271709618898391264338030e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.9
y[1] (analytic) = 3.9345676957998598706276695153856
y[1] (numeric) = 3.934567695799859870627669515385
absolute error = 6e-31
relative error = 1.5249451690474110788863802114249e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.901
y[1] (analytic) = 3.9366458748105380098715472101874
y[1] (numeric) = 3.9366458748105380098715472101867
absolute error = 7e-31
relative error = 1.7781634982183644839901234072194e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.902
y[1] (analytic) = 3.9387248790653309015648304787267
y[1] (numeric) = 3.938724879065330901564830478726
absolute error = 7e-31
relative error = 1.7772249179437780919014148560197e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.903
y[1] (analytic) = 3.9408047078753843483191469469773
y[1] (numeric) = 3.9408047078753843483191469469766
absolute error = 7e-31
relative error = 1.7762869563191135825840333167027e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.904
y[1] (analytic) = 3.9428853605511195975459487829134
y[1] (numeric) = 3.9428853605511195975459487829126
absolute error = 8e-31
relative error = 2.0289709865878003428533171528061e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.905
y[1] (analytic) = 3.944966836402234031035207820163
y[1] (numeric) = 3.9449668364022340310352078201622
absolute error = 8e-31
relative error = 2.0279004442267786480779870850326e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.906
y[1] (analytic) = 3.9470491347377018552579762428204
y[1] (numeric) = 3.9470491347377018552579762428197
absolute error = 7e-31
relative error = 1.7734767825395159844654856456035e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.907
y[1] (analytic) = 3.9491322548657747923921225289129
y[1] (numeric) = 3.9491322548657747923921225289121
absolute error = 8e-31
relative error = 2.0257614796625514014778790986058e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.908
y[1] (analytic) = 3.9512161960939827720705516268439
y[1] (numeric) = 3.9512161960939827720705516268432
absolute error = 7e-31
relative error = 1.7716064251103053327204304119141e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.909
y[1] (analytic) = 3.9533009577291346238512176166517
y[1] (numeric) = 3.953300957729134623851217616651
absolute error = 7e-31
relative error = 1.7706721736715329995267519201458e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.91
y[1] (analytic) = 3.9553865390773187704082363861256
y[1] (numeric) = 3.9553865390773187704082363861249
absolute error = 7e-31
relative error = 1.7697385403027903645600491728235e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.911
y[1] (analytic) = 3.9574729394439039214434051307275
y[1] (numeric) = 3.9574729394439039214434051307268
absolute error = 7e-31
relative error = 1.7688055249175312911011031459721e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.912
y[1] (analytic) = 3.9595601581335397683174347658559
y[1] (numeric) = 3.9595601581335397683174347658552
absolute error = 7e-31
relative error = 1.7678731274282911481272176118241e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.913
y[1] (analytic) = 3.9616481944501576794002006202776
y[1] (numeric) = 3.9616481944501576794002006202769
absolute error = 7e-31
relative error = 1.7669413477466893374687392609372e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.914
y[1] (analytic) = 3.9637370476969713961393160605351
y[1] (numeric) = 3.9637370476969713961393160605344
absolute error = 7e-31
relative error = 1.7660101857834318178519344626679e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.915
y[1] (analytic) = 3.9658267171764777298463329778138
y[1] (numeric) = 3.9658267171764777298463329778131
absolute error = 7e-31
relative error = 1.7650796414483136258217966489658e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.916
y[1] (analytic) = 3.967917202190457259199872351126
y[1] (numeric) = 3.9679172021904572591998723511253
absolute error = 7e-31
relative error = 1.7641497146502213935384133397142e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.917
y[1] (analytic) = 3.9700085020399750284649873837404
y[1] (numeric) = 3.9700085020399750284649873837397
absolute error = 7e-31
relative error = 1.7632204052971358634405766827555e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.918
y[1] (analytic) = 3.9721006160253812464280609935509
y[1] (numeric) = 3.9721006160253812464280609935502
absolute error = 7e-31
relative error = 1.7622917132961343997703760584272e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=515.0MB, alloc=4.5MB, time=26.48
TOP MAIN SOLVE Loop
x[1] = 3.919
y[1] (analytic) = 3.9741935434463119860465387225465
y[1] (numeric) = 3.9741935434463119860465387225459
absolute error = 6e-31
relative error = 1.5097402616171944259593421117008e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.92
y[1] (analytic) = 3.9762872836016898848127974157074
y[1] (numeric) = 3.9762872836016898848127974157068
absolute error = 6e-31
relative error = 1.5089452979778782441336188952826e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.921
y[1] (analytic) = 3.9783818357897248458314493055159
y[1] (numeric) = 3.9783818357897248458314493055153
absolute error = 6e-31
relative error = 1.5081508632539228834545059618080e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.922
y[1] (analytic) = 3.9804771993079147396093804248387
y[1] (numeric) = 3.9804771993079147396093804248381
absolute error = 6e-31
relative error = 1.5073569573626045470974963043518e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.923
y[1] (analytic) = 3.9825733734530461065578215581983
y[1] (numeric) = 3.9825733734530461065578215581977
absolute error = 6e-31
relative error = 1.5065635802204358372029218301332e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.924
y[1] (analytic) = 3.9846703575211948602057492294226
y[1] (numeric) = 3.984670357521194860205749229422
absolute error = 6e-31
relative error = 1.5057707317431678913576967910683e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.925
y[1] (analytic) = 3.9867681508077269911239135123299
y[1] (numeric) = 3.9867681508077269911239135123293
absolute error = 6e-31
relative error = 1.5049784118457925163502051389082e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.926
y[1] (analytic) = 3.98886675260729927155878874048
y[1] (numeric) = 3.9888667526072992715587887404794
absolute error = 6e-31
relative error = 1.5041866204425443191933342852574e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.927
y[1] (analytic) = 3.9909661622138599607757424820995
y[1] (numeric) = 3.9909661622138599607757424820989
absolute error = 6e-31
relative error = 1.5033953574469028354107032419716e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.928
y[1] (analytic) = 3.9930663789206495111107174370709
y[1] (numeric) = 3.9930663789206495111107174370703
absolute error = 6e-31
relative error = 1.5026046227715946545811784608920e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.929
y[1] (analytic) = 3.9951674020202012747297202043632
y[1] (numeric) = 3.9951674020202012747297202043626
absolute error = 6e-31
relative error = 1.5018144163285955431368158836912e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.93
y[1] (analytic) = 3.997269230804342211095410160473
y[1] (numeric) = 3.9972692308043422110954101604725
absolute error = 5e-31
relative error = 1.2508539483576104703411772940968e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.931
y[1] (analytic) = 3.9993718645641935951400809823476
y[1] (numeric) = 3.9993718645641935951400809823471
absolute error = 5e-31
relative error = 1.2501963231530718299340813535067e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.932
y[1] (analytic) = 4.0014753025901717261443266418654
y[1] (numeric) = 4.0014753025901717261443266418649
absolute error = 5e-31
relative error = 1.2495391379183270365940264644237e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.933
y[1] (analytic) = 4.0035795441719886373206829932694
y[1] (numeric) = 4.0035795441719886373206829932689
absolute error = 5e-31
relative error = 1.2488823925775374625919497082682e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.934
y[1] (analytic) = 4.0056845885986528061015353699693
y[1] (numeric) = 4.0056845885986528061015353699688
absolute error = 5e-31
relative error = 1.2482260870542476047631924282790e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.935
y[1] (analytic) = 4.0077904351584698651305819028645
y[1] (numeric) = 4.007790435158469865130581902864
absolute error = 5e-31
relative error = 1.2475702212713868396899333150140e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.936
y[1] (analytic) = 4.0098970831390433139571415687841
y[1] (numeric) = 4.0098970831390433139571415687836
absolute error = 5e-31
relative error = 1.2469147951512711765674951953069e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.937
y[1] (analytic) = 4.0120045318272752314325952747949
y[1] (numeric) = 4.0120045318272752314325952747943
absolute error = 6e-31
relative error = 1.4955117703387260093009252304758e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.938
y[1] (analytic) = 4.0141127805093669888082475819954
y[1] (numeric) = 4.0141127805093669888082475819948
absolute error = 6e-31
relative error = 1.4947263139025794283724613393106e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.939
y[1] (analytic) = 4.0162218284708199635338959709946
y[1] (numeric) = 4.016221828470819963533895970994
absolute error = 6e-31
relative error = 1.4939413847776693503138840235953e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.94
y[1] (analytic) = 4.0183316749964362537563938505644
y[1] (numeric) = 4.0183316749964362537563938505638
absolute error = 6e-31
relative error = 1.4931569828678518013545533417136e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.941
y[1] (analytic) = 4.020442319370319393517492810963
y[1] (numeric) = 4.0204423193703193935174928109624
absolute error = 6e-31
relative error = 1.4923731080762572422110117246651e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.942
y[1] (analytic) = 4.0225537608758750686502489241466
y[1] (numeric) = 4.0225537608758750686502489241459
absolute error = 7e-31
relative error = 1.7401880536895080972169179995594e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.943
y[1] (analytic) = 4.0246659987958118333732771945221
y[1] (numeric) = 4.0246659987958118333732771945215
absolute error = 6e-31
relative error = 1.4908069394566436258856490033938e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.944
y[1] (analytic) = 4.0267790324121418275821375660477
y[1] (numeric) = 4.0267790324121418275821375660471
absolute error = 6e-31
relative error = 1.4900246454312764285521210614449e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.945
y[1] (analytic) = 4.0288928610061814948371351943524
y[1] (numeric) = 4.0288928610061814948371351943518
absolute error = 6e-31
relative error = 1.4892428781294401000050823909407e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.946
y[1] (analytic) = 4.031007483858552301046816996137
y[1] (numeric) = 4.0310074838585523010468169961364
absolute error = 6e-31
relative error = 1.4884616374506685171903501196868e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=518.8MB, alloc=4.5MB, time=26.66
TOP MAIN SOLVE Loop
x[1] = 3.947
y[1] (analytic) = 4.0331229002491814538464457924178
y[1] (numeric) = 4.0331229002491814538464457924173
absolute error = 5e-31
relative error = 1.2397341027448187244418034141823e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.948
y[1] (analytic) = 4.0352391094573026226707326672002
y[1] (numeric) = 4.0352391094573026226707326671996
absolute error = 6e-31
relative error = 1.4869007355568917276715440077639e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.949
y[1] (analytic) = 4.0373561107614566595201074689078
y[1] (numeric) = 4.0373561107614566595201074689072
absolute error = 6e-31
relative error = 1.4861210741373971124001007722540e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.95
y[1] (analytic) = 4.0394739034394923204198066883598
y[1] (numeric) = 4.0394739034394923204198066883592
absolute error = 6e-31
relative error = 1.4853419389319925567153549669959e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.951
y[1] (analytic) = 4.0415924867685669875710572542658
y[1] (numeric) = 4.0415924867685669875710572542652
absolute error = 6e-31
relative error = 1.4845633298366671680636568893302e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.952
y[1] (analytic) = 4.043711860025147392193634095116
y[1] (numeric) = 4.0437118600251473921936340951154
absolute error = 6e-31
relative error = 1.4837852467467072865248446296459e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.953
y[1] (analytic) = 4.0458320224850103380590686249695
y[1] (numeric) = 4.0458320224850103380590686249689
absolute error = 6e-31
relative error = 1.4830076895566985403488181066505e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.954
y[1] (analytic) = 4.0479529734232434257137846199914
y[1] (numeric) = 4.0479529734232434257137846199908
absolute error = 6e-31
relative error = 1.4822306581605278986382484649724e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.955
y[1] (analytic) = 4.050074712114245777391437262665
y[1] (numeric) = 4.0500747121142457773914372626644
absolute error = 6e-31
relative error = 1.4814541524513857211736835301518e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.956
y[1] (analytic) = 4.0521972378317287626137304413984
y[1] (numeric) = 4.0521972378317287626137304413978
absolute error = 6e-31
relative error = 1.4806781723217678053773511640431e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.957
y[1] (analytic) = 4.0543205498487167244789867047703
y[1] (numeric) = 4.0543205498487167244789867047696
absolute error = 7e-31
relative error = 1.7265531706073903354806705912689e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.958
y[1] (analytic) = 4.0564446474375477066377435819044
y[1] (numeric) = 4.0564446474375477066377435819037
absolute error = 7e-31
relative error = 1.7256490864288986314797156018484e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.959
y[1] (analytic) = 4.0585695298698741809546492934381
y[1] (numeric) = 4.0585695298698741809546492934374
absolute error = 7e-31
relative error = 1.7247456150454157516435752374951e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.96
y[1] (analytic) = 4.0606951964166637758559301912485
y[1] (numeric) = 4.0606951964166637758559301912478
absolute error = 7e-31
relative error = 1.7238427563283026496250114554420e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.961
y[1] (analytic) = 4.0628216463482000053617015795305
y[1] (numeric) = 4.0628216463482000053617015795298
absolute error = 7e-31
relative error = 1.7229405101481218467271430694429e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.962
y[1] (analytic) = 4.0649488789340829988023928849765
y[1] (numeric) = 4.0649488789340829988023928849758
absolute error = 7e-31
relative error = 1.7220388763746397999108301067478e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.963
y[1] (analytic) = 4.0670768934432302312185574596932
y[1] (numeric) = 4.0670768934432302312185574596924
absolute error = 8e-31
relative error = 1.9670146912878048759257148431920e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.964
y[1] (analytic) = 4.069205689143877254443336617106
y[1] (numeric) = 4.0692056891438772544433366171053
absolute error = 7e-31
relative error = 1.7202374455228716651259823747165e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.965
y[1] (analytic) = 4.0713352653035784288668468184498
y[1] (numeric) = 4.0713352653035784288668468184491
absolute error = 7e-31
relative error = 1.7193376481801594342719519975441e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.966
y[1] (analytic) = 4.0734656211892076558817582455175
y[1] (numeric) = 4.0734656211892076558817582455168
absolute error = 7e-31
relative error = 1.7184384627152983861386530591809e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.967
y[1] (analytic) = 4.0755967560669591110093323141502
y[1] (numeric) = 4.0755967560669591110093323141494
absolute error = 8e-31
relative error = 1.9629027302789829235458170770342e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.968
y[1] (analytic) = 4.0777286692023479777051850024926
y[1] (numeric) = 4.0777286692023479777051850024918
absolute error = 8e-31
relative error = 1.9618764878647246404547918789829e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.969
y[1] (analytic) = 4.0798613598602111818440421883112
y[1] (numeric) = 4.0798613598602111818440421883104
absolute error = 8e-31
relative error = 1.9608509442767204805411418791958e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.97
y[1] (analytic) = 4.0819948273047081268827525106807
y[1] (numeric) = 4.0819948273047081268827525106799
absolute error = 8e-31
relative error = 1.9598260993589507702353594628327e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.971
y[1] (analytic) = 4.0841290707993214297008225930877
y[1] (numeric) = 4.084129070799321429700822593087
absolute error = 7e-31
relative error = 1.7139517088351964522158656374947e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.972
y[1] (analytic) = 4.0862640896068576571177387874778
y[1] (numeric) = 4.0862640896068576571177387874771
absolute error = 7e-31
relative error = 1.7130561917924093165329977508658e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.973
y[1] (analytic) = 4.0883998829894480630863389219849
y[1] (numeric) = 4.0883998829894480630863389219842
absolute error = 7e-31
relative error = 1.7121612856718855888570189991211e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.974
y[1] (analytic) = 4.0905364502085493265614968590332
y[1] (numeric) = 4.0905364502085493265614968590325
absolute error = 7e-31
relative error = 1.7112669903340224291605860320570e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=522.6MB, alloc=4.5MB, time=26.85
TOP MAIN SOLVE Loop
x[1] = 3.975
y[1] (analytic) = 4.0926737905249442900433819951891
y[1] (numeric) = 4.0926737905249442900433819951883
absolute error = 8e-31
relative error = 1.9547123493010873250069386537188e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.976
y[1] (analytic) = 4.0948119031987426987945551595634
y[1] (numeric) = 4.0948119031987426987945551595626
absolute error = 8e-31
relative error = 1.9536916930789038102258820446096e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.977
y[1] (analytic) = 4.0969507874893819407301616937319
y[1] (numeric) = 4.0969507874893819407301616937311
absolute error = 8e-31
relative error = 1.9526717344101692078747004330132e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.978
y[1] (analytic) = 4.0990904426556277869804818230408
y[1] (numeric) = 4.09909044265562778698048182304
absolute error = 8e-31
relative error = 1.9516524731318534806033388422702e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.979
y[1] (analytic) = 4.1012308679555751331250977568095
y[1] (numeric) = 4.1012308679555751331250977568087
absolute error = 8e-31
relative error = 1.9506339090800622179781545353381e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.98
y[1] (analytic) = 4.1033720626466487410979362833252
y[1] (numeric) = 4.1033720626466487410979362833243
absolute error = 9e-31
relative error = 2.1933180473512941819734263752948e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.981
y[1] (analytic) = 4.105514025985603981762444954648
y[1] (numeric) = 4.1055140259856039817624449546471
absolute error = 9e-31
relative error = 2.1921737309956905681294347743211e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.982
y[1] (analytic) = 4.1076567572285275781561592861135
y[1] (numeric) = 4.1076567572285275781561592861126
absolute error = 9e-31
relative error = 2.1910301984609784607372206375453e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.983
y[1] (analytic) = 4.1098002556308383494039177260258
y[1] (numeric) = 4.1098002556308383494039177260249
absolute error = 9e-31
relative error = 2.1898874495589165843632704540803e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.984
y[1] (analytic) = 4.1119445204472879552989804823897
y[1] (numeric) = 4.1119445204472879552989804823888
absolute error = 9e-31
relative error = 2.1887454841003060293592912874683e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.985
y[1] (analytic) = 4.114089550931961641551307625624
y[1] (numeric) = 4.1140895509319616415513076256231
absolute error = 9e-31
relative error = 2.1876043018949931956977552416600e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.986
y[1] (analytic) = 4.1162353463382789857022512190408
y[1] (numeric) = 4.1162353463382789857022512190399
absolute error = 9e-31
relative error = 2.1864639027518727323766853548967e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.987
y[1] (analytic) = 4.1183819059189946437049155624602
y[1] (numeric) = 4.1183819059189946437049155624593
absolute error = 9e-31
relative error = 2.1853242864788904723899405401862e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.988
y[1] (analytic) = 4.1205292289261990971694389686627
y[1] (numeric) = 4.1205292289261990971694389686619
absolute error = 8e-31
relative error = 1.9414981803404856562304995214854e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.989
y[1] (analytic) = 4.1226773146113194012724498274601
y[1] (numeric) = 4.1226773146113194012724498274593
absolute error = 8e-31
relative error = 1.9404865793514643494442647062074e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.99
y[1] (analytic) = 4.1248261622251199333299490479899
y[1] (numeric) = 4.1248261622251199333299490479891
absolute error = 8e-31
relative error = 1.9394756737298315665684245884314e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.991
y[1] (analytic) = 4.126975771017703142032870306415
y[1] (numeric) = 4.1269757710177031420328703064142
absolute error = 8e-31
relative error = 1.9384654633015249341470774923822e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.992
y[1] (analytic) = 4.1291261402385102973445688635293
y[1] (numeric) = 4.1291261402385102973445688635286
absolute error = 7e-31
relative error = 1.6952739544051952128191254073937e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.993
y[1] (analytic) = 4.131277269136322241059489054844
y[1] (numeric) = 4.1312772691363222410594890548433
absolute error = 7e-31
relative error = 1.6943912364089297801670198589535e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.994
y[1] (analytic) = 4.1334291569592601380222598945483
y[1] (numeric) = 4.1334291569592601380222598945476
absolute error = 7e-31
relative error = 1.6935091262455604069909761307001e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.995
y[1] (analytic) = 4.1355818029547862280064675743133
y[1] (numeric) = 4.1355818029547862280064675743126
absolute error = 7e-31
relative error = 1.6926276237598896503923499439135e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.996
y[1] (analytic) = 4.1377352063697045782523529782279
y[1] (numeric) = 4.1377352063697045782523529782271
absolute error = 8e-31
relative error = 1.9334248329097171298221752379713e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.997
y[1] (analytic) = 4.1398893664501618366626816762318
y[1] (numeric) = 4.139889366450161836662681676231
absolute error = 8e-31
relative error = 1.9324187899397355074921226316882e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.998
y[1] (analytic) = 4.14204428244164798565603320024
y[1] (numeric) = 4.1420442824416479856560332002392
absolute error = 8e-31
relative error = 1.9314134409215365178338804426042e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.999
y[1] (analytic) = 4.1441999535889970966767557497301
y[1] (numeric) = 4.1441999535889970966767557497293
absolute error = 8e-31
relative error = 1.9304087856744866938225231168070e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4
y[1] (analytic) = 4.1463563791363880853608318169022
y[1] (numeric) = 4.1463563791363880853608318169015
absolute error = 7e-31
relative error = 1.6882292210149998900747058991649e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.001
y[1] (analytic) = 4.1485135583273454673568995656086
y[1] (numeric) = 4.1485135583273454673568995656078
absolute error = 8e-31
relative error = 1.9284015557672540434000905353395e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.002
y[1] (analytic) = 4.1506714904047401148016741430932
y[1] (numeric) = 4.1506714904047401148016741430924
absolute error = 8e-31
relative error = 1.9273989807417653077781754726351e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=526.4MB, alloc=4.5MB, time=27.03
TOP MAIN SOLVE Loop
x[1] = 4.003
y[1] (analytic) = 4.1528301746107900134490124491854
y[1] (numeric) = 4.1528301746107900134490124491845
absolute error = 9e-31
relative error = 2.1671967361014213908979262162796e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.004
y[1] (analytic) = 4.1549896101870610204518642339433
y[1] (numeric) = 4.1549896101870610204518642339424
absolute error = 9e-31
relative error = 2.1660703983312277550839855161690e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.005
y[1] (analytic) = 4.1571497963744676227963517418614
y[1] (numeric) = 4.1571497963744676227963517418606
absolute error = 8e-31
relative error = 1.9243954131691280109720524274825e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.006
y[1] (analytic) = 4.1593107324132736963872194686243
y[1] (numeric) = 4.1593107324132736963872194686234
absolute error = 9e-31
relative error = 2.1638200603440152125053619455529e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.007
y[1] (analytic) = 4.1614724175430932657838949450201
y[1] (numeric) = 4.1614724175430932657838949450192
absolute error = 9e-31
relative error = 2.1626960597070453522690594556724e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.008
y[1] (analytic) = 4.1636348510028912645864008120178
y[1] (numeric) = 4.1636348510028912645864008120169
absolute error = 9e-31
relative error = 2.1615728376930502162816707995705e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.009
y[1] (analytic) = 4.1657980320309842964703578011573
y[1] (numeric) = 4.1657980320309842964703578011565
absolute error = 8e-31
relative error = 1.9204003503020757455205551620407e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.01
y[1] (analytic) = 4.167961959865041396870317585315
y[1] (numeric) = 4.1679619598650413968703175853141
absolute error = 9e-31
relative error = 2.1593287286843232103109283780744e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.011
y[1] (analytic) = 4.1701266337420847953106638165731
y[1] (numeric) = 4.1701266337420847953106638165722
absolute error = 9e-31
relative error = 2.1582078412625573559839676692102e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.012
y[1] (analytic) = 4.1722920528984906783833190203579
y[1] (numeric) = 4.172292052898490678383319020357
absolute error = 9e-31
relative error = 2.1570877316097039078254971467592e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.013
y[1] (analytic) = 4.1744582165699899533714943682014
y[1] (numeric) = 4.1744582165699899533714943682004
absolute error = 1.0e-30
relative error = 2.3955204439000611651782652903532e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.014
y[1] (analytic) = 4.1766251239916690125187187054408
y[1] (numeric) = 4.1766251239916690125187187054399
absolute error = 9e-31
relative error = 2.1548498447470317010621488715277e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.015
y[1] (analytic) = 4.1787927743979704979423825648919
y[1] (numeric) = 4.1787927743979704979423825648909
absolute error = 1.0e-30
relative error = 2.3930356301146514853931852152646e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.016
y[1] (analytic) = 4.1809611670226940671910322530133
y[1] (numeric) = 4.1809611670226940671910322530123
absolute error = 1.0e-30
relative error = 2.3917945181780064245445611211826e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.017
y[1] (analytic) = 4.1831303010989971594446484513346
y[1] (numeric) = 4.1831303010989971594446484513335
absolute error = 1.1e-30
relative error = 2.6296096961431171325193023834215e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.018
y[1] (analytic) = 4.1853001758593957623571431329302
y[1] (numeric) = 4.1853001758593957623571431329292
absolute error = 1.0e-30
relative error = 2.3893148829991944161122538998073e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.019
y[1] (analytic) = 4.1874707905357651795403079515094
y[1] (numeric) = 4.1874707905357651795403079515084
absolute error = 1.0e-30
relative error = 2.3880763592671059182770547858935e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.02
y[1] (analytic) = 4.1896421443593407986884466192346
y[1] (numeric) = 4.1896421443593407986884466192336
absolute error = 1.0e-30
relative error = 2.3868386977783636396416368849791e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.021
y[1] (analytic) = 4.1918142365607188603429231487027
y[1] (numeric) = 4.1918142365607188603429231487017
absolute error = 1.0e-30
relative error = 2.3856018982856348175161273478329e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.022
y[1] (analytic) = 4.1939870663698572272958571946028
y[1] (numeric) = 4.1939870663698572272958571946018
absolute error = 1.0e-30
relative error = 2.3843659605406434548541391155067e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.023
y[1] (analytic) = 4.1961606330160761546321970914209
y[1] (numeric) = 4.1961606330160761546321970914199
absolute error = 1.0e-30
relative error = 2.3831308842941734016776193023223e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.024
y[1] (analytic) = 4.1983349357280590604094005451815
y[1] (numeric) = 4.1983349357280590604094005451805
absolute error = 1.0e-30
relative error = 2.3818966692960714314614399808341e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.025
y[1] (analytic) = 4.2005099737338532969739522996103
y[1] (numeric) = 4.2005099737338532969739522996093
absolute error = 1.0e-30
relative error = 2.3806633152952503124757230125293e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.026
y[1] (analytic) = 4.2026857462608709229139474602642
y[1] (numeric) = 4.2026857462608709229139474602632
absolute error = 1.0e-30
relative error = 2.3794308220396918740839427263554e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.027
y[1] (analytic) = 4.2048622525358894756469685241098
y[1] (numeric) = 4.2048622525358894756469685241088
absolute error = 1.0e-30
relative error = 2.3781991892764500679949021844136e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.028
y[1] (analytic) = 4.207039491785052744642483526738
y[1] (numeric) = 4.2070394917850527446424835267371
absolute error = 9e-31
relative error = 2.1392715750764886220200574416697e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.029
y[1] (analytic) = 4.2092174632338715452779920848807
y[1] (numeric) = 4.2092174632338715452779920848798
absolute error = 9e-31
relative error = 2.1381646537894599931149900859302e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.03
y[1] (analytic) = 4.2113961661072244933281454781476
y[1] (numeric) = 4.2113961661072244933281454781467
absolute error = 9e-31
relative error = 2.1370585062575789466713228908492e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=530.2MB, alloc=4.5MB, time=27.22
x[1] = 4.031
y[1] (analytic) = 4.2135755996293587800860662809285
y[1] (numeric) = 4.2135755996293587800860662809276
absolute error = 9e-31
relative error = 2.1359531322498811400502897701119e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.032
y[1] (analytic) = 4.2157557630238909481160924232056
y[1] (numeric) = 4.2157557630238909481160924232048
absolute error = 8e-31
relative error = 1.8976431391418496428252177461726e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.033
y[1] (analytic) = 4.2179366555138076676371699275965
y[1] (numeric) = 4.2179366555138076676371699275956
absolute error = 9e-31
relative error = 2.1337447038790736913915861873049e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.034
y[1] (analytic) = 4.2201182763214665135361179392988
y[1] (numeric) = 4.2201182763214665135361179392979
absolute error = 9e-31
relative error = 2.1326416490499393587275843416046e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.035
y[1] (analytic) = 4.2223006246685967430099890357384
y[1] (numeric) = 4.2223006246685967430099890357375
absolute error = 9e-31
relative error = 2.1315393668129443266641478037115e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.036
y[1] (analytic) = 4.2244836997763000738367471736234
y[1] (numeric) = 4.2244836997763000738367471736226
absolute error = 8e-31
relative error = 1.8937225394960396207136393252961e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.037
y[1] (analytic) = 4.2266675008650514632734850027926
y[1] (numeric) = 4.2266675008650514632734850027918
absolute error = 8e-31
relative error = 1.8927441059327895893302646254956e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.038
y[1] (analytic) = 4.2288520271546998875814016487042
y[1] (numeric) = 4.2288520271546998875814016487034
absolute error = 8e-31
relative error = 1.8917663584891720679285540559254e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.039
y[1] (analytic) = 4.2310372778644691221767614386539
y[1] (numeric) = 4.2310372778644691221767614386531
absolute error = 8e-31
relative error = 1.8907892969541121431818722227185e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.04
y[1] (analytic) = 4.2332232522129585224070534208273
y[1] (numeric) = 4.2332232522129585224070534208266
absolute error = 7e-31
relative error = 1.6535863059763460600983062949499e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.041
y[1] (analytic) = 4.2354099494181438049515709000927
y[1] (numeric) = 4.235409949418143804951570900092
absolute error = 7e-31
relative error = 1.6527325769165869501338991910993e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.042
y[1] (analytic) = 4.2375973686973778298456295900195
y[1] (numeric) = 4.2375973686973778298456295900188
absolute error = 7e-31
relative error = 1.6518794474690205857607226877108e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.043
y[1] (analytic) = 4.2397855092673913831276423569698
y[1] (numeric) = 4.2397855092673913831276423569691
absolute error = 7e-31
relative error = 1.6510269174464810476720315704575e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.044
y[1] (analytic) = 4.2419743703442939601082679092531
y[1] (numeric) = 4.2419743703442939601082679092524
absolute error = 7e-31
relative error = 1.6501749866611887895425476457165e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.045
y[1] (analytic) = 4.2441639511435745492608501622613
y[1] (numeric) = 4.2441639511435745492608501622606
absolute error = 7e-31
relative error = 1.6493236549247527171362378542318e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.046
y[1] (analytic) = 4.246354250880102416732364389209
y[1] (numeric) = 4.2463542508801024167323643892083
absolute error = 7e-31
relative error = 1.6484729220481722638631812354107e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.047
y[1] (analytic) = 4.2485452687681278914740856465994
y[1] (numeric) = 4.2485452687681278914740856465988
absolute error = 6e-31
relative error = 1.4122481038644338252441887222530e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.048
y[1] (analytic) = 4.2507370040212831509911943438124
y[1] (numeric) = 4.2507370040212831509911943438118
absolute error = 6e-31
relative error = 1.4115199303847494414863924733059e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.049
y[1] (analytic) = 4.2529294558525830077105332072742
y[1] (numeric) = 4.2529294558525830077105332072735
absolute error = 7e-31
relative error = 1.6459243146784603548820304027980e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.05
y[1] (analytic) = 4.2551226234744256959657292715176
y[1] (numeric) = 4.255122623474425695965729271517
absolute error = 6e-31
relative error = 1.4100651217192968949302408418327e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.051
y[1] (analytic) = 4.2573165060985936595988939120774
y[1] (numeric) = 4.2573165060985936595988939120768
absolute error = 6e-31
relative error = 1.4093384862048704257252835224515e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.052
y[1] (analytic) = 4.2595111029362543401781133185842
y[1] (numeric) = 4.2595111029362543401781133185836
absolute error = 6e-31
relative error = 1.4086123630160174569014905560598e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.053
y[1] (analytic) = 4.2617064131979609658299411906341
y[1] (numeric) = 4.2617064131979609658299411906335
absolute error = 6e-31
relative error = 1.4078867519871302262785526201387e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.054
y[1] (analytic) = 4.2639024360936533406861048240063
y[1] (numeric) = 4.2639024360936533406861048240057
absolute error = 6e-31
relative error = 1.4071616529520926895606987714355e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.055
y[1] (analytic) = 4.2660991708326586349436351405881
y[1] (numeric) = 4.2660991708326586349436351405875
absolute error = 6e-31
relative error = 1.4064370657442822719714774684546e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.056
y[1] (analytic) = 4.2682966166236921755376306019439
y[1] (numeric) = 4.2682966166236921755376306019433
absolute error = 6e-31
relative error = 1.4057129901965716168406962112751e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.057
y[1] (analytic) = 4.2704947726748582374258643338295
y[1] (numeric) = 4.2704947726748582374258643338289
absolute error = 6e-31
relative error = 1.4049894261413303311432517107619e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.058
y[1] (analytic) = 4.2726936381936508354844431771107
y[1] (numeric) = 4.2726936381936508354844431771101
absolute error = 6e-31
relative error = 1.4042663734104267279896096783932e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=534.0MB, alloc=4.5MB, time=27.40
x[1] = 4.059
y[1] (analytic) = 4.2748932123869545170137267694931
y[1] (numeric) = 4.2748932123869545170137267694926
absolute error = 5e-31
relative error = 1.1696198598626913050564336523878e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.06
y[1] (analytic) = 4.2770934944610451548537141522107
y[1] (numeric) = 4.2770934944610451548537141522101
absolute error = 6e-31
relative error = 1.4028218012466097860361830506353e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.061
y[1] (analytic) = 4.2792944836215907411081047863511
y[1] (numeric) = 4.2792944836215907411081047863506
absolute error = 5e-31
relative error = 1.1684169012291185365570824957429e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.062
y[1] (analytic) = 4.2814961790736521814762402548251
y[1] (numeric) = 4.2814961790736521814762402548246
absolute error = 5e-31
relative error = 1.1678160602917562009569000344861e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.063
y[1] (analytic) = 4.283698580021684090192132318102
y[1] (numeric) = 4.2836985800216840901921323181015
absolute error = 5e-31
relative error = 1.1672156447512443769294211503013e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.064
y[1] (analytic) = 4.2859016856695355855697823847518
y[1] (numeric) = 4.2859016856695355855697823847513
absolute error = 5e-31
relative error = 1.1666156544649972073852886765507e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.065
y[1] (analytic) = 4.288105495220451086153996851539
y[1] (numeric) = 4.2881054952204510861539968515385
absolute error = 5e-31
relative error = 1.1660160892900211837355878891426e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.066
y[1] (analytic) = 4.29031000787707110747590216232
y[1] (numeric) = 4.2903100078770711074759021623194
absolute error = 6e-31
relative error = 1.3985003388994998931684404808710e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.067
y[1] (analytic) = 4.2925152228414330594123628302948
y[1] (numeric) = 4.2925152228414330594123628302942
absolute error = 6e-31
relative error = 1.3977818804398546442592737645072e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.068
y[1] (analytic) = 4.2947211393149720441485050642629
y[1] (numeric) = 4.2947211393149720441485050642623
absolute error = 6e-31
relative error = 1.3970639315960402144422089711865e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.069
y[1] (analytic) = 4.296927756498521654742548036424
y[1] (numeric) = 4.2969277564985216547425480364234
absolute error = 6e-31
relative error = 1.3963464921945248167019061822661e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.07
y[1] (analytic) = 4.2991350735923147742921442269604
y[1] (numeric) = 4.2991350735923147742921442269598
absolute error = 6e-31
relative error = 1.3956295620612960422218907428761e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.071
y[1] (analytic) = 4.3013430897959843757014296791274
y[1] (numeric) = 4.3013430897959843757014296791268
absolute error = 6e-31
relative error = 1.3949131410218625632366970644477e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.072
y[1] (analytic) = 4.303551804308564322047984397867
y[1] (numeric) = 4.3035518043085643220479843978664
absolute error = 6e-31
relative error = 1.3941972289012558328350740760494e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.073
y[1] (analytic) = 4.3057612163284901675489025250518
y[1] (numeric) = 4.3057612163284901675489025250512
absolute error = 6e-31
relative error = 1.3934818255240317817144043514157e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.074
y[1] (analytic) = 4.3079713250535999591251713253565
y[1] (numeric) = 4.3079713250535999591251713253558
absolute error = 7e-31
relative error = 1.6248947524999845972009331906020e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.075
y[1] (analytic) = 4.3101821296811350385635574184428
y[1] (numeric) = 4.3101821296811350385635574184421
absolute error = 7e-31
relative error = 1.6240613016781859852242562928172e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.076
y[1] (analytic) = 4.3123936294077408452751980956407
y[1] (numeric) = 4.31239362940774084527519809564
absolute error = 7e-31
relative error = 1.6232284437729706752289760819990e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.077
y[1] (analytic) = 4.3146058234294677196500949625998
y[1] (numeric) = 4.3146058234294677196500949625991
absolute error = 7e-31
relative error = 1.6223961785774545395400566933883e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.078
y[1] (analytic) = 4.316818710941771707006706553485
y[1] (numeric) = 4.3168187109417717070067065534842
absolute error = 8e-31
relative error = 1.8532165781533811642832141581852e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.079
y[1] (analytic) = 4.3190322911395153621358359671905
y[1] (numeric) = 4.3190322911395153621358359671897
absolute error = 8e-31
relative error = 1.8522667719831549484783868755275e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.08
y[1] (analytic) = 4.3212465632169685544380089817521
y[1] (numeric) = 4.3212465632169685544380089817513
absolute error = 8e-31
relative error = 1.8513176424823973385720946938508e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.081
y[1] (analytic) = 4.323461526367809273653537509646
y[1] (numeric) = 4.3234615263678092736535375096452
absolute error = 8e-31
relative error = 1.8503691894121916264859614315789e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.082
y[1] (analytic) = 4.3256771797851244361844626639783
y[1] (numeric) = 4.3256771797851244361844626639775
absolute error = 8e-31
relative error = 1.8494214125330072524622739881423e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.083
y[1] (analytic) = 4.3278935226614106920075711136889
y[1] (numeric) = 4.3278935226614106920075711136881
absolute error = 8e-31
relative error = 1.8484743116047020267711926838978e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.084
y[1] (analytic) = 4.3301105541885752321776778148217
y[1] (numeric) = 4.3301105541885752321776778148209
absolute error = 8e-31
relative error = 1.8475278863865243473573277297548e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.085
y[1] (analytic) = 4.3323282735579365969203676146441
y[1] (numeric) = 4.3323282735579365969203676146433
absolute error = 8e-31
relative error = 1.8465821366371154134262776680941e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.086
y[1] (analytic) = 4.334546679960225484313387635943
y[1] (numeric) = 4.3345466799602254843133876359422
absolute error = 8e-31
relative error = 1.8456370621145114349717573679925e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=537.8MB, alloc=4.5MB, time=27.58
x[1] = 4.087
y[1] (analytic) = 4.3367657725855855595558817601713
y[1] (numeric) = 4.3367657725855855595558817601704
absolute error = 9e-31
relative error = 2.0752792453981640680244715869966e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.088
y[1] (analytic) = 4.3389855506235742648246579402781
y[1] (numeric) = 4.3389855506235742648246579402773
absolute error = 8e-31
relative error = 1.8437489377788514671599467991272e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.089
y[1] (analytic) = 4.3412060132631636297166784870239
y[1] (numeric) = 4.3412060132631636297166784870231
absolute error = 8e-31
relative error = 1.8428058874788627806564768697910e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.09
y[1] (analytic) = 4.3434271596927410822769628863557
y[1] (numeric) = 4.3434271596927410822769628863549
absolute error = 8e-31
relative error = 1.8418635114318180459865460732587e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.091
y[1] (analytic) = 4.345648989100110260611092120009
y[1] (numeric) = 4.3456489891001102606110921200081
absolute error = 9e-31
relative error = 2.0710370355668567189548907935972e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.092
y[1] (analytic) = 4.3478715006724918250815028768988
y[1] (numeric) = 4.3478715006724918250815028768979
absolute error = 9e-31
relative error = 2.0699783787556638833947491716308e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.093
y[1] (analytic) = 4.3500946935965242710867594590737
y[1] (numeric) = 4.3500946935965242710867594590729
absolute error = 8e-31
relative error = 1.8390404263558332959187845440194e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.094
y[1] (analytic) = 4.3523185670582647424229906030286
y[1] (numeric) = 4.3523185670582647424229906030278
absolute error = 8e-31
relative error = 1.8381007448650997457082345498296e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.095
y[1] (analytic) = 4.3545431202431898452266778550064
y[1] (numeric) = 4.3545431202431898452266778550056
absolute error = 8e-31
relative error = 1.8371617363966350898528540859347e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.096
y[1] (analytic) = 4.3567683523361964624979815575696
y[1] (numeric) = 4.3567683523361964624979815575688
absolute error = 8e-31
relative error = 1.8362234007025462776607568962463e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.097
y[1] (analytic) = 4.3589942625216025692037899241824
y[1] (numeric) = 4.3589942625216025692037899241816
absolute error = 8e-31
relative error = 1.8352857375343593063162893694929e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.098
y[1] (analytic) = 4.3612208499831480479596760988226
y[1] (numeric) = 4.3612208499831480479596760988218
absolute error = 8e-31
relative error = 1.8343487466430213817545278531457e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.099
y[1] (analytic) = 4.3634481139039955052899475187343
y[1] (numeric) = 4.3634481139039955052899475187336
absolute error = 7e-31
relative error = 1.6042358743065401910514246703884e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.1
y[1] (analytic) = 4.3656760534667310884649713203402
y[1] (numeric) = 4.3656760534667310884649713203395
absolute error = 7e-31
relative error = 1.6034171831053254177093229332456e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.101
y[1] (analytic) = 4.3679046678533653029149589510551
y[1] (numeric) = 4.3679046678533653029149589510544
absolute error = 7e-31
relative error = 1.6025990794895701763447275732133e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.102
y[1] (analytic) = 4.370133956245333830219392573286
y[1] (numeric) = 4.3701339562453338302193925732853
absolute error = 7e-31
relative error = 1.6017815632393463395966631501602e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.103
y[1] (analytic) = 4.3723639178234983466712752712588
y[1] (numeric) = 4.3723639178234983466712752712581
absolute error = 7e-31
relative error = 1.6009646341342287384701421967274e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.104
y[1] (analytic) = 4.3745945517681473424153864964907
y[1] (numeric) = 4.37459455176814734241538649649
absolute error = 7e-31
relative error = 1.6001482919532970318614459646592e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.105
y[1] (analytic) = 4.3768258572589969411597236137202
y[1] (numeric) = 4.3768258572589969411597236137195
absolute error = 7e-31
relative error = 1.5993325364751375725469530084368e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.106
y[1] (analytic) = 4.3790578334751917204593098359228
y[1] (numeric) = 4.3790578334751917204593098359221
absolute error = 7e-31
relative error = 1.5985173674778452696365921446947e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.107
y[1] (analytic) = 4.381290479595305532571548264671
y[1] (numeric) = 4.3812904795953055325715482646703
absolute error = 7e-31
relative error = 1.5977027847390254474930213182838e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.108
y[1] (analytic) = 4.3835237947973423258823011805548
y[1] (numeric) = 4.3835237947973423258823011805541
absolute error = 7e-31
relative error = 1.5968887880357957011176587694706e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.109
y[1] (analytic) = 4.3857577782587369669018731576509
y[1] (numeric) = 4.3857577782587369669018731576502
absolute error = 7e-31
relative error = 1.5960753771447877480047176319761e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.11
y[1] (analytic) = 4.3879924291563560628300760061255
y[1] (numeric) = 4.3879924291563560628300760061248
absolute error = 7e-31
relative error = 1.5952625518421492764644196986971e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.111
y[1] (analytic) = 4.3902277466664987846895529779758
y[1] (numeric) = 4.3902277466664987846895529779751
absolute error = 7e-31
relative error = 1.5944503119035457904165885713464e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.112
y[1] (analytic) = 4.3924637299648976910265391026531
y[1] (numeric) = 4.3924637299648976910265391026524
absolute error = 7e-31
relative error = 1.5936386571041624506558467622489e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.113
y[1] (analytic) = 4.3947003782267195521782339518765
y[1] (numeric) = 4.3947003782267195521782339518758
absolute error = 7e-31
relative error = 1.5928275872187059125896655414605e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.114
y[1] (analytic) = 4.3969376906265661751059625663333
y[1] (numeric) = 4.3969376906265661751059625663326
absolute error = 7e-31
relative error = 1.5920171020214061604505404205872e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=541.7MB, alloc=4.5MB, time=27.77
x[1] = 4.115
y[1] (analytic) = 4.3991756663384752287932997111736
y[1] (numeric) = 4.3991756663384752287932997111729
absolute error = 7e-31
relative error = 1.5912072012860183379835891365019e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.116
y[1] (analytic) = 4.4014143045359210702083320622433
y[1] (numeric) = 4.4014143045359210702083320622426
absolute error = 7e-31
relative error = 1.5903978847858245756108928439293e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.117
y[1] (analytic) = 4.403653604391815570829232360863
y[1] (numeric) = 4.4036536043918155708292323608623
absolute error = 7e-31
relative error = 1.5895891522936358140739249459317e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.118
y[1] (analytic) = 4.4058935650785089437323190116468
y[1] (numeric) = 4.4058935650785089437323190116461
absolute error = 7e-31
relative error = 1.5887810035817936245554355860219e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.119
y[1] (analytic) = 4.4081341857677905712417740353705
y[1] (numeric) = 4.4081341857677905712417740353698
absolute error = 7e-31
relative error = 1.5879734384221720252821832952846e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.12
y[1] (analytic) = 4.4103754656308898331401917272407
y[1] (numeric) = 4.41037546563088983314019172724
absolute error = 7e-31
relative error = 1.5871664565861792946099286328558e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.121
y[1] (analytic) = 4.4126174038384769354391298100842
y[1] (numeric) = 4.4126174038384769354391298100835
absolute error = 7e-31
relative error = 1.5863600578447597805921278787177e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.122
y[1] (analytic) = 4.4148599995606637397088343119763
y[1] (numeric) = 4.4148599995606637397088343119757
absolute error = 6e-31
relative error = 1.3590464931157677488861039437374e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.123
y[1] (analytic) = 4.4171032519670045929663088386528
y[1] (numeric) = 4.4171032519670045929663088386521
absolute error = 7e-31
relative error = 1.5847490087271089760319665597768e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.124
y[1] (analytic) = 4.4193471602264971581208983527034
y[1] (numeric) = 4.4193471602264971581208983527028
absolute error = 6e-31
relative error = 1.3576665924775396860037927927203e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.125
y[1] (analytic) = 4.4215917235075832449765570140352
y[1] (numeric) = 4.4215917235075832449765570140346
absolute error = 6e-31
relative error = 1.3569773907664837133211104397300e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.126
y[1] (analytic) = 4.4238369409781496417899690794042
y[1] (numeric) = 4.4238369409781496417899690794036
absolute error = 6e-31
relative error = 1.3562886878631983903554151594033e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.127
y[1] (analytic) = 4.4260828118055289473836913029664
y[1] (numeric) = 4.4260828118055289473836913029658
absolute error = 6e-31
relative error = 1.3556004835689967774978991707196e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.128
y[1] (analytic) = 4.4283293351565004038134847247727
y[1] (numeric) = 4.4283293351565004038134847247721
absolute error = 6e-31
relative error = 1.3549127776848050537235568442811e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.129
y[1] (analytic) = 4.4305765101972907295890031799473
y[1] (numeric) = 4.4305765101972907295890031799467
absolute error = 6e-31
relative error = 1.3542255700111640435850217922543e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.13
y[1] (analytic) = 4.4328243360935749534470053079295
y[1] (numeric) = 4.4328243360935749534470053079289
absolute error = 6e-31
relative error = 1.3535388603482307412044043808223e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.131
y[1] (analytic) = 4.435072812010477248676256288636
y[1] (numeric) = 4.4350728120104772486762562886354
absolute error = 6e-31
relative error = 1.3528526484957798312645555223889e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.132
y[1] (analytic) = 4.437321937112571767993284980713
y[1] (numeric) = 4.4373219371125717679932849807124
absolute error = 6e-31
relative error = 1.3521669342532052070012013548486e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.133
y[1] (analytic) = 4.4395717105638834789681615861888
y[1] (numeric) = 4.4395717105638834789681615861882
absolute error = 6e-31
relative error = 1.3514817174195214851974120622075e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.134
y[1] (analytic) = 4.4418221315278889999994604158197
y[1] (numeric) = 4.4418221315278889999994604158191
absolute error = 6e-31
relative error = 1.3507969977933655181818866349971e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.135
y[1] (analytic) = 4.4440731991675174368375717802366
y[1] (numeric) = 4.444073199167517436837571780236
absolute error = 6e-31
relative error = 1.3501127751729979028325538105661e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.136
y[1] (analytic) = 4.446324912645151219655526483649
y[1] (numeric) = 4.4463249126451512196555264836483
absolute error = 7e-31
relative error = 1.5743338909156885676848424015335e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.137
y[1] (analytic) = 4.4485772711226269406664958493521
y[1] (numeric) = 4.4485772711226269406664958493514
absolute error = 7e-31
relative error = 1.5735367901642641822048679991418e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.138
y[1] (analytic) = 4.4508302737612361922871296596076
y[1] (numeric) = 4.4508302737612361922871296596069
absolute error = 7e-31
relative error = 1.5727402685442220605918752447189e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.139
y[1] (analytic) = 4.4530839197217264058458938466288
y[1] (numeric) = 4.4530839197217264058458938466281
absolute error = 7e-31
relative error = 1.5719443258184612423283629684702e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.14
y[1] (analytic) = 4.4553382081643016908355692264027
y[1] (numeric) = 4.455338208164301690835569226402
absolute error = 7e-31
relative error = 1.5711489617494505523810542095528e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.141
y[1] (analytic) = 4.4575931382486236747090720229209
y[1] (numeric) = 4.4575931382486236747090720229202
absolute error = 7e-31
relative error = 1.5703541760992303407802563231050e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.142
y[1] (analytic) = 4.4598487091338123432177563870681
y[1] (numeric) = 4.4598487091338123432177563870674
absolute error = 7e-31
relative error = 1.5695599686294142187182677089821e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=545.5MB, alloc=4.5MB, time=27.95
x[1] = 4.143
y[1] (analytic) = 4.4621049199784468812913585719353
y[1] (numeric) = 4.4621049199784468812913585719346
absolute error = 7e-31
relative error = 1.5687663391011907911687492991319e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.144
y[1] (analytic) = 4.4643617699405665144587418846852
y[1] (numeric) = 4.4643617699405665144587418846844
absolute error = 8e-31
relative error = 1.7919694711718004411759993080963e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.145
y[1] (analytic) = 4.4666192581776713508086009942928
y[1] (numeric) = 4.466619258177671350808600994292
absolute error = 8e-31
relative error = 1.7910637861853277483281037495609e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.146
y[1] (analytic) = 4.4688773838467232234892836345293
y[1] (numeric) = 4.4688773838467232234892836345285
absolute error = 8e-31
relative error = 1.7901587608818559082466848829714e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.147
y[1] (analytic) = 4.4711361461041465337468872024357
y[1] (numeric) = 4.4711361461041465337468872024349
absolute error = 8e-31
relative error = 1.7892543949865344486807690793962e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.148
y[1] (analytic) = 4.4733955441058290945007872142614
y[1] (numeric) = 4.4733955441058290945007872142606
absolute error = 8e-31
relative error = 1.7883506882240370171065271965092e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.149
y[1] (analytic) = 4.4756555770071229744557540434088
y[1] (numeric) = 4.4756555770071229744557540434079
absolute error = 9e-31
relative error = 2.0108785953583837541866416190493e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.15
y[1] (analytic) = 4.4779162439628453427498138283373
y[1] (numeric) = 4.4779162439628453427498138283364
absolute error = 9e-31
relative error = 2.0098634073680713055383471780637e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.151
y[1] (analytic) = 4.4801775441272793141370089026375
y[1] (numeric) = 4.4801775441272793141370089026367
absolute error = 8e-31
relative error = 1.7856435199731282161626373892292e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.152
y[1] (analytic) = 4.4824394766541747947042125645838
y[1] (numeric) = 4.482439476654174794704212564583
absolute error = 8e-31
relative error = 1.7847424469792141541784598103293e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.153
y[1] (analytic) = 4.4847020406967493281211524694223
y[1] (numeric) = 4.4847020406967493281211524694215
absolute error = 8e-31
relative error = 1.7838420317344224863854655527882e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.154
y[1] (analytic) = 4.4869652354076889424227963944407
y[1] (numeric) = 4.4869652354076889424227963944399
absolute error = 8e-31
relative error = 1.7829422739606125229824969138427e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.155
y[1] (analytic) = 4.4892290599391489973232535945056
y[1] (numeric) = 4.4892290599391489973232535945047
absolute error = 9e-31
relative error = 2.0047985700515789682499618315139e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.156
y[1] (analytic) = 4.4914935134427550320603444342349
y[1] (numeric) = 4.4914935134427550320603444342341
absolute error = 8e-31
relative error = 1.7811447297110655335132538257660e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.157
y[1] (analytic) = 4.493758595069603613769990452309
y[1] (numeric) = 4.4937585950696036137699904523082
absolute error = 8e-31
relative error = 1.7802469426767434932464861551341e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.158
y[1] (analytic) = 4.496024303970263186389576483598
y[1] (numeric) = 4.4960243039702631863895764835972
absolute error = 8e-31
relative error = 1.7793498119962369744581065380204e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.159
y[1] (analytic) = 4.4982906392947749200894359358166
y[1] (numeric) = 4.4982906392947749200894359358159
absolute error = 7e-31
relative error = 1.5561466702154740405691673723821e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.16
y[1] (analytic) = 4.5005576001926535612316097892908
y[1] (numeric) = 4.5005576001926535612316097892901
absolute error = 7e-31
relative error = 1.5553628287526758488844863472907e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.161
y[1] (analytic) = 4.5028251858128882828550293611476
y[1] (numeric) = 4.5028251858128882828550293611469
absolute error = 7e-31
relative error = 1.5545795608621435944574087403500e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.162
y[1] (analytic) = 4.5050933953039435356862723488176
y[1] (numeric) = 4.5050933953039435356862723488169
absolute error = 7e-31
relative error = 1.5537968662973153493789763678541e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.163
y[1] (analytic) = 4.5073622278137598996750411421636
y[1] (numeric) = 4.507362227813759899675041142163
absolute error = 6e-31
relative error = 1.3311554955524898038081123188015e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.164
y[1] (analytic) = 4.5096316824897549360535118688293
y[1] (numeric) = 4.5096316824897549360535118688286
absolute error = 7e-31
relative error = 1.5522331961565694291829753457116e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.165
y[1] (analytic) = 4.5119017584788240399187021135282
y[1] (numeric) = 4.5119017584788240399187021135276
absolute error = 6e-31
relative error = 1.3298161886447821101258593828280e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.166
y[1] (analytic) = 4.5141724549273412933370047289791
y[1] (numeric) = 4.5141724549273412933370047289784
absolute error = 7e-31
relative error = 1.5506718163501508957381557741428e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.167
y[1] (analytic) = 4.5164437709811603189700346340213
y[1] (numeric) = 4.5164437709811603189700346340206
absolute error = 7e-31
relative error = 1.5498919847017839626332594876749e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.168
y[1] (analytic) = 4.518715705785615134220934973138
y[1] (numeric) = 4.5187157057856151342209349731374
absolute error = 6e-31
relative error = 1.3278109070499383532334750563493e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.169
y[1] (analytic) = 4.5209882584855210059002884911504
y[1] (numeric) = 4.5209882584855210059002884911498
absolute error = 6e-31
relative error = 1.3271434600031301325103532201590e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.17
y[1] (analytic) = 4.5232614282251753054107794572422
y[1] (numeric) = 4.5232614282251753054107794572416
absolute error = 6e-31
relative error = 1.3264765026756950578779984130163e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=549.3MB, alloc=4.5MB, time=28.13
x[1] = 4.171
y[1] (analytic) = 4.525535214148358364449750953726
y[1] (numeric) = 4.5255352141483583644497509537254
absolute error = 6e-31
relative error = 1.3258100348533283983099933273963e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.172
y[1] (analytic) = 4.5278096153983343312288018270632
y[1] (numeric) = 4.5278096153983343312288018270626
absolute error = 6e-31
relative error = 1.3251440563214029105204310295295e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.173
y[1] (analytic) = 4.5300846311178520272095670816135
y[1] (numeric) = 4.5300846311178520272095670816129
absolute error = 6e-31
relative error = 1.3244785668649702354532769245608e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.174
y[1] (analytic) = 4.5323602604491458043548249804037
y[1] (numeric) = 4.5323602604491458043548249804031
absolute error = 6e-31
relative error = 1.3238135662687622918488803795207e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.175
y[1] (analytic) = 4.5346365025339364028940736018815
y[1] (numeric) = 4.5346365025339364028940736018809
absolute error = 6e-31
relative error = 1.3231490543171926668897931744035e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.176
y[1] (analytic) = 4.536913356513431809602719087148
y[1] (numeric) = 4.5369133565134318096027190871473
absolute error = 7e-31
relative error = 1.5428992025934176712494108460575e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.177
y[1] (analytic) = 4.5391908215283281165940172985527
y[1] (numeric) = 4.539190821528328116594017298552
absolute error = 7e-31
relative error = 1.5421250780647126185122474901298e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.178
y[1] (analytic) = 4.5414688967188103806229100977814
y[1] (numeric) = 4.5414688967188103806229100977807
absolute error = 7e-31
relative error = 1.5413515228646543449047010040223e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.179
y[1] (analytic) = 4.5437475812245534829008969396711
y[1] (numeric) = 4.5437475812245534829008969396704
absolute error = 7e-31
relative error = 1.5405785367402559776774290186013e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.18
y[1] (analytic) = 4.5460268741847229894210819669533
y[1] (numeric) = 4.5460268741847229894210819669526
absolute error = 7e-31
relative error = 1.5398061194381673183413975002327e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.181
y[1] (analytic) = 4.5483067747379760117925362809491
y[1] (numeric) = 4.5483067747379760117925362809485
absolute error = 6e-31
relative error = 1.3191722320325798097402342182608e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.182
y[1] (analytic) = 4.550587282022462068583114553927
y[1] (numeric) = 4.5505872820224620685831145539263
absolute error = 7e-31
relative error = 1.5382629902857113094734253414404e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.183
y[1] (analytic) = 4.5528683951758239471698646403764
y[1] (numeric) = 4.5528683951758239471698646403757
absolute error = 7e-31
relative error = 1.5374922779268413355821843838435e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.184
y[1] (analytic) = 4.5551501133351985660961683368617
y[1] (numeric) = 4.5551501133351985660961683368611
absolute error = 6e-31
relative error = 1.3171904000342391497017355651782e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.185
y[1] (analytic) = 4.5574324356372178379347509333861
y[1] (numeric) = 4.5574324356372178379347509333855
absolute error = 6e-31
relative error = 1.3165307626027555390143009911709e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.186
y[1] (analytic) = 4.5597153612180095326556966933276
y[1] (numeric) = 4.559715361218009532655696693327
absolute error = 6e-31
relative error = 1.3158716114238446308487871232131e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.187
y[1] (analytic) = 4.5619988892131981414986068940052
y[1] (numeric) = 4.5619988892131981414986068940046
absolute error = 6e-31
relative error = 1.3152129462782074439427990535926e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.188
y[1] (analytic) = 4.5642830187579057413480365557872
y[1] (numeric) = 4.5642830187579057413480365557866
absolute error = 6e-31
relative error = 1.3145547669462444790961933196715e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.189
y[1] (analytic) = 4.5665677489867528596113454843786
y[1] (numeric) = 4.566567748986752859611345484378
absolute error = 6e-31
relative error = 1.3138970732080570691616447562502e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.19
y[1] (analytic) = 4.5688530790338593395980987485076
y[1] (numeric) = 4.5688530790338593395980987485069
absolute error = 7e-31
relative error = 1.5321131756506901805066605344141e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.191
y[1] (analytic) = 4.5711390080328452064001512136828
y[1] (numeric) = 4.5711390080328452064001512136822
absolute error = 6e-31
relative error = 1.3125831416319264854427591411425e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.192
y[1] (analytic) = 4.5734255351168315332715502520104
y[1] (numeric) = 4.5734255351168315332715502520098
absolute error = 6e-31
relative error = 1.3119269033527022471441872674000e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.193
y[1] (analytic) = 4.5757126594184413085073902482378
y[1] (numeric) = 4.5757126594184413085073902482371
absolute error = 7e-31
relative error = 1.5298163414154764669461556682287e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.194
y[1] (analytic) = 4.5780003800698003028207520232442
y[1] (numeric) = 4.5780003800698003028207520232436
absolute error = 6e-31
relative error = 1.3106158807065277296121582574696e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.195
y[1] (analytic) = 4.5802886962025379372168597981103
y[1] (numeric) = 4.5802886962025379372168597981096
absolute error = 7e-31
relative error = 1.5282879452126272068731715691653e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.196
y[1] (analytic) = 4.5825776069477881513635878246806
y[1] (numeric) = 4.5825776069477881513635878246799
absolute error = 7e-31
relative error = 1.5275245943215632011678693586624e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.197
y[1] (analytic) = 4.5848671114361902724574483121875
y[1] (numeric) = 4.5848671114361902724574483121868
absolute error = 7e-31
relative error = 1.5267618078918059509790766547560e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.198
y[1] (analytic) = 4.5871572087978898845841917840181
y[1] (numeric) = 4.5871572087978898845841917840174
absolute error = 7e-31
relative error = 1.5259995856637360676039941698142e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=553.1MB, alloc=4.5MB, time=28.33
x[1] = 4.199
y[1] (analytic) = 4.5894478981625396985731505040985
y[1] (numeric) = 4.5894478981625396985731505040978
absolute error = 7e-31
relative error = 1.5252379273774006981943387717579e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.2
y[1] (analytic) = 4.5917391786593004223444551186229
y[1] (numeric) = 4.5917391786593004223444551186222
absolute error = 7e-31
relative error = 1.5244768327725150638551237720429e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.201
y[1] (analytic) = 4.5940310494168416317482541659845
y[1] (numeric) = 4.5940310494168416317482541659838
absolute error = 7e-31
relative error = 1.5237163015884639944070281592354e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.202
y[1] (analytic) = 4.5963235095633426418950656157609
y[1] (numeric) = 4.5963235095633426418950656157602
absolute error = 7e-31
relative error = 1.5229563335643034598152917998061e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.203
y[1] (analytic) = 4.5986165582264933789763891064743
y[1] (numeric) = 4.5986165582264933789763891064736
absolute error = 7e-31
relative error = 1.5221969284387620982880877991620e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.204
y[1] (analytic) = 4.6009101945334952525747070615887
y[1] (numeric) = 4.600910194533495252574707061588
absolute error = 7e-31
relative error = 1.5214380859502427410473372907652e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.205
y[1] (analytic) = 4.6032044176110620284620023738137
y[1] (numeric) = 4.603204417611062028462002373813
absolute error = 7e-31
relative error = 1.5206798058368239337749458997883e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.206
y[1] (analytic) = 4.6054992265854207018859198592713
y[1] (numeric) = 4.6054992265854207018859198592705
absolute error = 8e-31
relative error = 1.7370538146700130911285200119309e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.207
y[1] (analytic) = 4.6077946205823123713426981954362
y[1] (numeric) = 4.6077946205823123713426981954354
absolute error = 8e-31
relative error = 1.7361884933554169481052740036502e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.208
y[1] (analytic) = 4.6100905987269931128359985699916
y[1] (numeric) = 4.6100905987269931128359985699908
absolute error = 8e-31
relative error = 1.7353238138549986775741706514244e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.209
y[1] (analytic) = 4.6123871601442348546207557818429
y[1] (numeric) = 4.6123871601442348546207557818421
absolute error = 8e-31
relative error = 1.7344597758679543385039986427469e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.21
y[1] (analytic) = 4.6146843039583262524311770505132
y[1] (numeric) = 4.6146843039583262524311770505123
absolute error = 9e-31
relative error = 1.9502959264797577667892882813044e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.211
y[1] (analytic) = 4.6169820292930735651920133059925
y[1] (numeric) = 4.6169820292930735651920133059916
absolute error = 9e-31
relative error = 1.9493253261325839734931399603897e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.212
y[1] (analytic) = 4.6192803352718015312122272478448
y[1] (numeric) = 4.619280335271801531212227247844
absolute error = 8e-31
relative error = 1.7318715079736061683015271711381e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.213
y[1] (analytic) = 4.6215792210173542448601819799758
y[1] (numeric) = 4.6215792210173542448601819799749
absolute error = 9e-31
relative error = 1.9473862871529049099330343017879e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.214
y[1] (analytic) = 4.6238786856520960337194735459463
y[1] (numeric) = 4.6238786856520960337194735459455
absolute error = 8e-31
relative error = 1.7301491980799614274891230970482e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.215
y[1] (analytic) = 4.6261787282979123362245302090734
y[1] (numeric) = 4.6261787282979123362245302090726
absolute error = 8e-31
relative error = 1.7292890028361272325572158676012e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.216
y[1] (analytic) = 4.6284793480762105797751008417904
y[1] (numeric) = 4.6284793480762105797751008417897
absolute error = 7e-31
relative error = 1.5123757661162499295279275992012e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.217
y[1] (analytic) = 4.6307805441079210593287543098533
y[1] (numeric) = 4.6307805441079210593287543098526
absolute error = 7e-31
relative error = 1.5116242139581866381622762862399e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.218
y[1] (analytic) = 4.6330823155134978164705112589652
y[1] (numeric) = 4.6330823155134978164705112589645
absolute error = 7e-31
relative error = 1.5108732207414212324836519627335e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.219
y[1] (analytic) = 4.6353846614129195189587292342617
y[1] (numeric) = 4.635384661412919518958729234261
absolute error = 7e-31
relative error = 1.5101227861996501579124987622191e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.22
y[1] (analytic) = 4.6376875809256903407463615868448
y[1] (numeric) = 4.6376875809256903407463615868441
absolute error = 7e-31
relative error = 1.5093729100662679991409488159283e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.221
y[1] (analytic) = 4.6399910731708408424767101461798
y[1] (numeric) = 4.6399910731708408424767101461791
absolute error = 7e-31
relative error = 1.5086235920743689488020215656695e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.222
y[1] (analytic) = 4.6422951372669288524527911626759
y[1] (numeric) = 4.6422951372669288524527911626753
absolute error = 6e-31
relative error = 1.2924641416772128053145191250883e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.223
y[1] (analytic) = 4.6445997723320403480794335511584
y[1] (numeric) = 4.6445997723320403480794335511578
absolute error = 6e-31
relative error = 1.2918228252393460909489469496948e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.224
y[1] (analytic) = 4.6469049774837903377772279932066
y[1] (numeric) = 4.6469049774837903377772279932059
absolute error = 7e-31
relative error = 1.5063789842740372442906413031820e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.225
y[1] (analytic) = 4.649210751839323743367444984483
y[1] (numeric) = 4.6492107518393237433674449844824
absolute error = 6e-31
relative error = 1.2905416252911907998143341696606e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.226
y[1] (analytic) = 4.6515170945153162829270394422092
y[1] (numeric) = 4.6515170945153162829270394422086
absolute error = 6e-31
relative error = 1.2899017413210634176208219349105e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.227
memory used=556.9MB, alloc=4.5MB, time=28.51
y[1] (analytic) = 4.653824004627975354112859017856
y[1] (numeric) = 4.6538240046279753541128590178554
absolute error = 6e-31
relative error = 1.2892623343799262050957856957335e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.228
y[1] (analytic) = 4.6561314812930409179541727909151
y[1] (numeric) = 4.6561314812930409179541727909145
absolute error = 6e-31
relative error = 1.2886234042372354164036308617232e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.229
y[1] (analytic) = 4.6584395236257863831126365512957
y[1] (numeric) = 4.6584395236257863831126365512951
absolute error = 6e-31
relative error = 1.2879849506621997969472393108240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.23
y[1] (analytic) = 4.6607481307410194906088104104552
y[1] (numeric) = 4.6607481307410194906088104104546
absolute error = 6e-31
relative error = 1.2873469734237818170871025816927e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.231
y[1] (analytic) = 4.66305730175308319901434401482
y[1] (numeric) = 4.6630573017530831990143440148195
absolute error = 5e-31
relative error = 1.0722578935755824192342941917279e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.232
y[1] (analytic) = 4.6653670357758565701089441693852
y[1] (numeric) = 4.6653670357758565701089441693847
absolute error = 5e-31
relative error = 1.0717270391928538877067832674992e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.233
y[1] (analytic) = 4.6676773319227556550012392145981
y[1] (numeric) = 4.6676773319227556550012392145976
absolute error = 5e-31
relative error = 1.0711965811784917694645060101981e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.234
y[1] (analytic) = 4.669988189306734380712654035737
y[1] (numeric) = 4.6699881893067343807126540357365
absolute error = 5e-31
relative error = 1.0706665193391541077066162445304e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.235
y[1] (analytic) = 4.6722996070402854372234091209827
y[1] (numeric) = 4.6722996070402854372234091209822
absolute error = 5e-31
relative error = 1.0701368534812988222329601501198e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.236
y[1] (analytic) = 4.6746115842354411649797566222578
y[1] (numeric) = 4.6746115842354411649797566222573
absolute error = 5e-31
relative error = 1.0696075834111847236825930188284e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.237
y[1] (analytic) = 4.6769241200037744428615659116721
y[1] (numeric) = 4.6769241200037744428615659116717
absolute error = 4e-31
relative error = 8.5526296714789802037645351737928e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.238
y[1] (analytic) = 4.6792372134563995766093706660626
y[1] (numeric) = 4.6792372134563995766093706660621
absolute error = 5e-31
relative error = 1.0685502298582258534254095775619e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.239
y[1] (analytic) = 4.6815508637039731877099890526537
y[1] (numeric) = 4.6815508637039731877099890526532
absolute error = 5e-31
relative error = 1.0680221459869122531297231981462e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.24
y[1] (analytic) = 4.6838650698566951027398281302941
y[1] (numeric) = 4.6838650698566951027398281302936
absolute error = 5e-31
relative error = 1.0674944571264041949663384086236e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.241
y[1] (analytic) = 4.6861798310243092431649831230371
y[1] (numeric) = 4.6861798310243092431649831230367
absolute error = 4e-31
relative error = 8.5357373046558406149797420228739e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.242
y[1] (analytic) = 4.688495146316104515597241766042
y[1] (numeric) = 4.6884951463161045155972417660415
absolute error = 5e-31
relative error = 1.0664402636587252248043094957806e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.243
y[1] (analytic) = 4.6908110148409157025051034678635
y[1] (numeric) = 4.6908110148409157025051034678631
absolute error = 4e-31
relative error = 8.5273100692922631273164854092707e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.244
y[1] (analytic) = 4.6931274357071243533789225781876
y[1] (numeric) = 4.6931274357071243533789225781872
absolute error = 4e-31
relative error = 8.5231011831608419955624451596584e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.245
y[1] (analytic) = 4.6954444080226596763492845959414
y[1] (numeric) = 4.695444408022659676349284595941
absolute error = 4e-31
relative error = 8.5188954493116351227100301706329e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.246
y[1] (analytic) = 4.697761930894999430257723699478
y[1] (numeric) = 4.6977619308949994302577236994775
absolute error = 5e-31
relative error = 1.0643366082724033105683073608069e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.247
y[1] (analytic) = 4.7000800034311708171788895281907
y[1] (numeric) = 4.7000800034311708171788895281903
absolute error = 4e-31
relative error = 8.5104934321966952255395850673881e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.248
y[1] (analytic) = 4.7023986247377513753932706934669
y[1] (numeric) = 4.7023986247377513753932706934665
absolute error = 4e-31
relative error = 8.5062971457956235530715028291435e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.249
y[1] (analytic) = 4.7047177939208698728095820463294
y[1] (numeric) = 4.704717793920869872809582046329
absolute error = 4e-31
relative error = 8.5021040054061046134946871143288e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.25
y[1] (analytic) = 4.7070375100862072008359222794552
y[1] (numeric) = 4.7070375100862072008359222794547
absolute error = 5e-31
relative error = 1.0622392511820937937538436033683e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.251
y[1] (analytic) = 4.7093577723389972686988079924863
y[1] (numeric) = 4.7093577723389972686988079924858
absolute error = 5e-31
relative error = 1.0617158945468374178164925509212e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.252
y[1] (analytic) = 4.7116785797840278982091899016755
y[1] (numeric) = 4.711678579784027898209189901675
absolute error = 5e-31
relative error = 1.0611929305732030786407004632650e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.253
y[1] (analytic) = 4.7139999315256417189745564279226
y[1] (numeric) = 4.7139999315256417189745564279221
absolute error = 5e-31
relative error = 1.0606703590642176887202259539961e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.254
y[1] (analytic) = 4.7163218266677370640562294511748
y[1] (numeric) = 4.7163218266677370640562294511743
absolute error = 5e-31
relative error = 1.0601481798227269164605597756368e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.255
y[1] (analytic) = 4.7186442643137688660709565739679
y[1] (numeric) = 4.7186442643137688660709565739674
memory used=560.7MB, alloc=4.5MB, time=28.70
absolute error = 5e-31
relative error = 1.0596263926513961571057972926182e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.256
y[1] (analytic) = 4.7209672435667495537359037925928
y[1] (numeric) = 4.7209672435667495537359037925922
absolute error = 6e-31
relative error = 1.2709259968232538016932523390351e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.257
y[1] (analytic) = 4.7232907635292499488561520309671
y[1] (numeric) = 4.7232907635292499488561520309665
absolute error = 6e-31
relative error = 1.2703007924747768424754914800048e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.258
y[1] (analytic) = 4.7256148233034001637538005497924
y[1] (numeric) = 4.7256148233034001637538005497918
absolute error = 6e-31
relative error = 1.2696760578988009654207959638196e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.259
y[1] (analytic) = 4.7279394219908904991377798019665
y[1] (numeric) = 4.7279394219908904991377798019659
absolute error = 6e-31
relative error = 1.2690517928576709307087308618854e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.26
y[1] (analytic) = 4.730264558692972342413475864514
y[1] (numeric) = 4.7302645586929723424134758645134
absolute error = 6e-31
relative error = 1.2684279971135209557675251238528e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.261
y[1] (analytic) = 4.7325902325104590664312681374851
y[1] (numeric) = 4.7325902325104590664312681374844
absolute error = 7e-31
relative error = 1.4791054488329885082337529627129e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.262
y[1] (analytic) = 4.7349164425437269286730815613593
y[1] (numeric) = 4.7349164425437269286730815613587
absolute error = 6e-31
relative error = 1.2671818125636522320248321827713e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.263
y[1] (analytic) = 4.7372431878927159708760541664786
y[1] (numeric) = 4.7372431878927159708760541664779
absolute error = 7e-31
relative error = 1.4776526604946861197668343030987e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.264
y[1] (analytic) = 4.7395704676569309190924203309144
y[1] (numeric) = 4.7395704676569309190924203309137
absolute error = 7e-31
relative error = 1.4769270860657848157526536879952e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.265
y[1] (analytic) = 4.7418982809354420841847096869637
y[1] (numeric) = 4.741898280935442084184709686963
absolute error = 7e-31
relative error = 1.4762020577588388231753285567832e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.266
y[1] (analytic) = 4.7442266268268862627553611811474
y[1] (numeric) = 4.7442266268268862627553611811467
absolute error = 7e-31
relative error = 1.4754775752948923022179978955531e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.267
y[1] (analytic) = 4.7465555044294676385098513581736
y[1] (numeric) = 4.746555504429467638509851358173
absolute error = 6e-31
relative error = 1.2640745471955026546162848422427e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.268
y[1] (analytic) = 4.7488849128409586840524355058125
y[1] (numeric) = 4.7488849128409586840524355058119
absolute error = 6e-31
relative error = 1.2634544972391377609029837865362e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.269
y[1] (analytic) = 4.7512148511587010631135998650159
y[1] (numeric) = 4.7512148511587010631135998650153
absolute error = 6e-31
relative error = 1.2628349144296751476337390829370e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.27
y[1] (analytic) = 4.7535453184796065332083226779057
y[1] (numeric) = 4.7535453184796065332083226779051
absolute error = 6e-31
relative error = 1.2622157985272063533754222387826e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.271
y[1] (analytic) = 4.7558763139001578487242414154447
y[1] (numeric) = 4.7558763139001578487242414154441
absolute error = 6e-31
relative error = 1.2615971492916248648741961788878e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.272
y[1] (analytic) = 4.7582078365164096644388230966977
y[1] (numeric) = 4.7582078365164096644388230966971
absolute error = 6e-31
relative error = 1.2609789664826272365994003024394e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.273
y[1] (analytic) = 4.7605398854239894394646341825881
y[1] (numeric) = 4.7605398854239894394646341825875
absolute error = 6e-31
relative error = 1.2603612498597142076353035377016e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.274
y[1] (analytic) = 4.762872459718098341621806098956
y[1] (numeric) = 4.7628724597180983416218060989553
absolute error = 7e-31
relative error = 1.4697013323792237852445757806573e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.275
y[1] (analytic) = 4.7652055584935121522367920165259
y[1] (numeric) = 4.7652055584935121522367920165252
absolute error = 7e-31
relative error = 1.4689817499107012615057897701302e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.276
y[1] (analytic) = 4.7675391808445821713665100891052
y[1] (numeric) = 4.7675391808445821713665100891045
absolute error = 7e-31
relative error = 1.4682627104828389667987849258386e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.277
y[1] (analytic) = 4.7698733258652361234469679259432
y[1] (numeric) = 4.7698733258652361234469679259425
absolute error = 7e-31
relative error = 1.4675442138141535935762850701468e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.278
y[1] (analytic) = 4.772207992648979063365462649703
y[1] (numeric) = 4.7722079926489790633654626497023
absolute error = 7e-31
relative error = 1.4668262596229398519288258947482e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.279
y[1] (analytic) = 4.7745431802888942829554504679216
y[1] (numeric) = 4.7745431802888942829554504679209
absolute error = 7e-31
relative error = 1.4661088476272717541388069588010e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.28
y[1] (analytic) = 4.776878887877644217913179263164
y[1] (numeric) = 4.7768788878776442179131792631632
absolute error = 8e-31
relative error = 1.6747336886228615956190422775609e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.281
y[1] (analytic) = 4.7792151145074713551351772853136
y[1] (numeric) = 4.7792151145074713551351772853129
absolute error = 7e-31
relative error = 1.4646756490937727360729316084628e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.282
y[1] (analytic) = 4.7815518592701991404756906085879
y[1] (numeric) = 4.7815518592701991404756906085872
absolute error = 7e-31
relative error = 1.4639598619909978693800300222265e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.283
y[1] (analytic) = 4.7838891212572328869231615959146
y[1] (numeric) = 4.7838891212572328869231615959139
absolute error = 7e-31
relative error = 1.4632446159538833013775048405019e-29 %
Correct digits = 30
h = 0.001
memory used=564.5MB, alloc=4.5MB, time=28.89
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.284
y[1] (analytic) = 4.7862268995595606831948401942684
y[1] (numeric) = 4.7862268995595606831948401942677
absolute error = 7e-31
relative error = 1.4625299106994187163745963150667e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.285
y[1] (analytic) = 4.7885651932677543027486194664306
y[1] (numeric) = 4.7885651932677543027486194664299
absolute error = 7e-31
relative error = 1.4618157459443807439039097737820e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.286
y[1] (analytic) = 4.7909040014719701132111863474134
y[1] (numeric) = 4.7909040014719701132111863474127
absolute error = 7e-31
relative error = 1.4611021214053342218800221516438e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.287
y[1] (analytic) = 4.7932433232619499862215781974725
y[1] (numeric) = 4.7932433232619499862215781974718
absolute error = 7e-31
relative error = 1.4603890367986334567168506982159e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.288
y[1] (analytic) = 4.7955831577270222076892353082282
y[1] (numeric) = 4.7955831577270222076892353082275
absolute error = 7e-31
relative error = 1.4596764918404234804076190170614e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.289
y[1] (analytic) = 4.7979235039561023884656391039186
y[1] (numeric) = 4.7979235039561023884656391039178
absolute error = 8e-31
relative error = 1.6673879842818757766528715449462e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.29
y[1] (analytic) = 4.8002643610376943754286253662208
y[1] (numeric) = 4.80026436103769437542862536622
absolute error = 8e-31
relative error = 1.6665748796948767673932833970032e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.291
y[1] (analytic) = 4.8026057280598911629784613984057
y[1] (numeric) = 4.8026057280598911629784613984049
absolute error = 8e-31
relative error = 1.6657623908743723451380415806314e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.292
y[1] (analytic) = 4.8049476041103758049447756328223
y[1] (numeric) = 4.8049476041103758049447756328215
absolute error = 8e-31
relative error = 1.6649505174950144464547769989995e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.293
y[1] (analytic) = 4.8072899882764223269034277748598
y[1] (numeric) = 4.807289988276422326903427774859
absolute error = 8e-31
relative error = 1.6641392592312229685429076194075e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.294
y[1] (analytic) = 4.8096328796448966389024071665925
y[1] (numeric) = 4.8096328796448966389024071665917
absolute error = 8e-31
relative error = 1.6633286157571871851610395015963e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.295
y[1] (analytic) = 4.8119762773022574485958466442854
y[1] (numeric) = 4.8119762773022574485958466442846
absolute error = 8e-31
relative error = 1.6625185867468671591139515481689e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.296
y[1] (analytic) = 4.8143201803345571747852387558232
y[1] (numeric) = 4.8143201803345571747852387558223
absolute error = 9e-31
relative error = 1.8694228183582445452165599707488e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.297
y[1] (analytic) = 4.8166645878274428613669407969213
y[1] (numeric) = 4.8166645878274428613669407969204
absolute error = 9e-31
relative error = 1.8685129171635866546422391014996e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.298
y[1] (analytic) = 4.8190094988661570916850547186919
y[1] (numeric) = 4.8190094988661570916850547186911
absolute error = 8e-31
relative error = 1.6600921832343936547768565193314e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.299
y[1] (analytic) = 4.8213549125355389032887675537598
y[1] (numeric) = 4.821354912535538903288767553759
absolute error = 8e-31
relative error = 1.6592846088140023117949250680310e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.3
y[1] (analytic) = 4.823700827920024703093237603664
y[1] (numeric) = 4.8237008279200247030932376036632
absolute error = 8e-31
relative error = 1.6584776472237380726402601841152e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.301
y[1] (analytic) = 4.8260472441036491829431112267361
y[1] (numeric) = 4.8260472441036491829431112267354
absolute error = 7e-31
relative error = 1.4504623858691883039541464781441e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.302
y[1] (analytic) = 4.8283941601700462355777546630144
y[1] (numeric) = 4.8283941601700462355777546630137
absolute error = 7e-31
relative error = 1.4497573660708499857431960646286e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.303
y[1] (analytic) = 4.8307415752024498709972849310374
y[1] (numeric) = 4.8307415752024498709972849310367
absolute error = 7e-31
relative error = 1.4490528816389105705874896785196e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.304
y[1] (analytic) = 4.8330894882836951332284834305639
y[1] (numeric) = 4.8330894882836951332284834305631
absolute error = 8e-31
relative error = 1.6552559226129545132285540685579e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.305
y[1] (analytic) = 4.8354378984962190174896754853808
y[1] (numeric) = 4.8354378984962190174896754853801
absolute error = 7e-31
relative error = 1.4476455177259006467589051815952e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.306
y[1] (analytic) = 4.8377868049220613877536586613972
y[1] (numeric) = 4.8377868049220613877536586613965
absolute error = 7e-31
relative error = 1.4469426376701965272279243850111e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.307
y[1] (analytic) = 4.8401362066428658947077622971706
y[1] (numeric) = 4.8401362066428658947077622971699
absolute error = 7e-31
relative error = 1.4462402918316264922130677300204e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.308
y[1] (analytic) = 4.8424861027398808941101202868849
y[1] (numeric) = 4.8424861027398808941101202868842
absolute error = 7e-31
relative error = 1.4455384799224094287352946024255e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.309
y[1] (analytic) = 4.8448364922939603655412387595818
y[1] (numeric) = 4.8448364922939603655412387595812
absolute error = 6e-31
relative error = 1.2384318871324977028266250999616e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.31
y[1] (analytic) = 4.8471873743855648315499399031558
y[1] (numeric) = 4.8471873743855648315499399031551
absolute error = 7e-31
relative error = 1.4441364567399931031265137729929e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.311
y[1] (analytic) = 4.8495387480947622771927627872441
y[1] (numeric) = 4.8495387480947622771927627872435
absolute error = 6e-31
relative error = 1.2372310670488444495407957344139e-29 %
Correct digits = 30
h = 0.001
memory used=568.4MB, alloc=4.5MB, time=29.07
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.312
y[1] (analytic) = 4.8518906125012290699659016456898
y[1] (numeric) = 4.8518906125012290699659016456892
absolute error = 6e-31
relative error = 1.2366313421288988496457980951535e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.313
y[1] (analytic) = 4.8542429666842508801287616867134
y[1] (numeric) = 4.8542429666842508801287616867128
absolute error = 6e-31
relative error = 1.2360320736269969321830910972091e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.314
y[1] (analytic) = 4.8565958097227236014182121073164
y[1] (numeric) = 4.8565958097227236014182121073158
absolute error = 6e-31
relative error = 1.2354332612955403602714429632966e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.315
y[1] (analytic) = 4.8589491406951542721526155977389
y[1] (numeric) = 4.8589491406951542721526155977383
absolute error = 6e-31
relative error = 1.2348349048867795394262526608228e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.316
y[1] (analytic) = 4.8613029586796619967247132320196
y[1] (numeric) = 4.861302958679661996724713232019
absolute error = 6e-31
relative error = 1.2342370041528146235164078485324e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.317
y[1] (analytic) = 4.8636572627539788674824432518491
y[1] (numeric) = 4.8636572627539788674824432518485
absolute error = 6e-31
relative error = 1.2336395588455965182153610866171e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.318
y[1] (analytic) = 4.8660120519954508869967718629753
y[1] (numeric) = 4.8660120519954508869967718629747
absolute error = 6e-31
relative error = 1.2330425687169278819498665722411e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.319
y[1] (analytic) = 4.8683673254810388907156137764067
y[1] (numeric) = 4.8683673254810388907156137764061
absolute error = 6e-31
relative error = 1.2324460335184641243498239654409e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.32
y[1] (analytic) = 4.8707230822873194700029198405699
y[1] (numeric) = 4.8707230822873194700029198405693
absolute error = 6e-31
relative error = 1.2318499530017144022026801201339e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.321
y[1] (analytic) = 4.8730793214904858955620087254105
y[1] (numeric) = 4.8730793214904858955620087254098
absolute error = 7e-31
relative error = 1.4364633814043830484018176870345e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.322
y[1] (analytic) = 4.8754360421663490412422192351827
y[1] (numeric) = 4.8754360421663490412422192351821
absolute error = 6e-31
relative error = 1.2306591550186683854905720569552e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.323
y[1] (analytic) = 4.8777932433903383082279594433532
y[1] (numeric) = 4.8777932433903383082279594433526
absolute error = 6e-31
relative error = 1.2300644370546680690107929525625e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.324
y[1] (analytic) = 4.880150924237502549609228460645
y[1] (numeric) = 4.8801509242375025496092284606444
absolute error = 6e-31
relative error = 1.2294701727769757186503295195097e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.325
y[1] (analytic) = 4.8825090837825109953326862657791
y[1] (numeric) = 4.8825090837825109953326862657785
absolute error = 6e-31
relative error = 1.2288763619363840792019986252475e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.326
y[1] (analytic) = 4.8848677210996541775323466479196
y[1] (numeric) = 4.884867721099654177532346647919
absolute error = 6e-31
relative error = 1.2282830042835455661320585126932e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.327
y[1] (analytic) = 4.8872268352628448562389679302064
y[1] (numeric) = 4.8872268352628448562389679302059
absolute error = 5e-31
relative error = 1.0230750829741443701362371563186e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.328
y[1] (analytic) = 4.8895864253456189454672157650634
y[1] (numeric) = 4.8895864253456189454672157650629
absolute error = 5e-31
relative error = 1.0225813729525348361596302567343e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.329
y[1] (analytic) = 4.8919464904211364396796719141944
y[1] (numeric) = 4.8919464904211364396796719141939
absolute error = 5e-31
relative error = 1.0220880399633237774460349011637e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.33
y[1] (analytic) = 4.8943070295621823406267625493371
y[1] (numeric) = 4.8943070295621823406267625493366
absolute error = 5e-31
relative error = 1.0215950837982619101065593350073e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.331
y[1] (analytic) = 4.8966680418411675845616792339228
y[1] (numeric) = 4.8966680418411675845616792339223
absolute error = 5e-31
relative error = 1.0211025042489870660421592877316e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.332
y[1] (analytic) = 4.8990295263301299698293653707988
y[1] (numeric) = 4.8990295263301299698293653707983
absolute error = 5e-31
relative error = 1.0206103011070249981767507989604e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.333
y[1] (analytic) = 4.9013914821007350848286405271043
y[1] (numeric) = 4.9013914821007350848286405271038
absolute error = 5e-31
relative error = 1.0201184741637901836484742264772e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.334
y[1] (analytic) = 4.9037539082242772363465346742521
y[1] (numeric) = 4.9037539082242772363465346742516
absolute error = 5e-31
relative error = 1.0196270232105866249620301434319e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.335
y[1] (analytic) = 4.9061168037716803782639040087605
y[1] (numeric) = 4.9061168037716803782639040087599
absolute error = 6e-31
relative error = 1.2229631376463303789260128767233e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.336
y[1] (analytic) = 4.9084801678134990406313996483953
y[1] (numeric) = 4.9084801678134990406313996483948
absolute error = 5e-31
relative error = 1.0186452484389417046311531267439e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.337
y[1] (analytic) = 4.9108439994199192591148601277329
y[1] (numeric) = 4.9108439994199192591148601277324
absolute error = 5e-31
relative error = 1.0181549242025631567134440160184e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.338
y[1] (analytic) = 4.9132082976607595048091982478264
y[1] (numeric) = 4.913208297660759504809198247826
absolute error = 4e-31
relative error = 8.1413198009627446413600600516862e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.339
y[1] (analytic) = 4.9155730616054716144198524661688
y[1] (numeric) = 4.9155730616054716144198524661684
absolute error = 4e-31
relative error = 8.1374032078643604037256887001739e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=572.2MB, alloc=4.5MB, time=29.27
TOP MAIN SOLVE Loop
x[1] = 4.34
y[1] (analytic) = 4.9179382903231417208108726455763
y[1] (numeric) = 4.9179382903231417208108726455759
absolute error = 4e-31
relative error = 8.1334896126506154615394171854731e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.341
y[1] (analytic) = 4.9203039828824911839187096139856
y[1] (numeric) = 4.9203039828824911839187096139852
absolute error = 4e-31
relative error = 8.1295790136459333482471215208089e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.342
y[1] (analytic) = 4.9226701383518775220307776214524
y[1] (numeric) = 4.922670138351877522030777621452
absolute error = 4e-31
relative error = 8.1256714091739044895767398628945e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.343
y[1] (analytic) = 4.9250367557992953434278584158661
y[1] (numeric) = 4.9250367557992953434278584158657
absolute error = 4e-31
relative error = 8.1217667975572924670093078481794e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.344
y[1] (analytic) = 4.9274038342923772783894152950549
y[1] (numeric) = 4.9274038342923772783894152950545
absolute error = 4e-31
relative error = 8.1178651771180402651734468410147e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.345
y[1] (analytic) = 4.929771372898394911560885130044
y[1] (numeric) = 4.9297713728983949115608851300436
absolute error = 4e-31
relative error = 8.1139665461772765031869078540853e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.346
y[1] (analytic) = 4.9321393706842597146820159922536
y[1] (numeric) = 4.9321393706842597146820159922532
absolute error = 4e-31
relative error = 8.1100709030553216499687935273046e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.347
y[1] (analytic) = 4.9345078267165239796753176563761
y[1] (numeric) = 4.9345078267165239796753176563756
absolute error = 5e-31
relative error = 1.0132722807589617779432624827387e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.348
y[1] (analytic) = 4.9368767400613817520936918905594
y[1] (numeric) = 4.936876740061381752093691890559
absolute error = 4e-31
relative error = 8.1022885735451169743782384031639e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.349
y[1] (analytic) = 4.9392461097846697649263090863458
y[1] (numeric) = 4.9392461097846697649263090863453
absolute error = 5e-31
relative error = 1.0123002354741903815904022811585e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.35
y[1] (analytic) = 4.9416159349518683727617974225641
y[1] (numeric) = 4.9416159349518683727617974225637
absolute error = 4e-31
relative error = 8.0945181751340621600691856372084e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.351
y[1] (analytic) = 4.9439862146281024863078104000681
y[1] (numeric) = 4.9439862146281024863078104000677
absolute error = 4e-31
relative error = 8.0906374458831066846550369197574e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.352
y[1] (analytic) = 4.9463569478781425072660382278274
y[1] (numeric) = 4.946356947878142507266038227827
absolute error = 4e-31
relative error = 8.0867596943562578211038385030414e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.353
y[1] (analytic) = 4.9487281337664052635617281854403
y[1] (numeric) = 4.9487281337664052635617281854399
absolute error = 4e-31
relative error = 8.0828849188683516741928047624606e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.354
y[1] (analytic) = 4.9510997713569549449267787326246
y[1] (numeric) = 4.9510997713569549449267787326242
absolute error = 4e-31
relative error = 8.0790131177334653467836020976242e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.355
y[1] (analytic) = 4.953471859713504038835471782671
y[1] (numeric) = 4.9534718597135040388354717826707
absolute error = 3e-31
relative error = 6.0563582169486922589525730943311e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.356
y[1] (analytic) = 4.9558443978994142667919072042046
y[1] (numeric) = 4.9558443978994142667919072042043
absolute error = 3e-31
relative error = 6.0534588238314764769255146619693e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.357
y[1] (analytic) = 4.9582173849776975209682032638973
y[1] (numeric) = 4.958217384977697520968203263897
absolute error = 3e-31
relative error = 6.0505616576823290139992628507570e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.358
y[1] (analytic) = 4.9605908200110168011925263720101
y[1] (numeric) = 4.9605908200110168011925263720099
absolute error = 2e-31
relative error = 4.0317778114897174093868074196367e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.359
y[1] (analytic) = 4.9629647020616871522860131428128
y[1] (numeric) = 4.9629647020616871522860131428126
absolute error = 2e-31
relative error = 4.0298493341473316145367912171740e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.36
y[1] (analytic) = 4.9653390301916766017476474330366
y[1] (numeric) = 4.9653390301916766017476474330364
absolute error = 2e-31
relative error = 4.0279223389158869850571244801068e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.361
y[1] (analytic) = 4.9677138034626070977861546735621
y[1] (numeric) = 4.9677138034626070977861546735619
absolute error = 2e-31
relative error = 4.0259968249498501339316540412375e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.362
y[1] (analytic) = 4.9700890209357554476979754625255
y[1] (numeric) = 4.9700890209357554476979754625253
absolute error = 2e-31
relative error = 4.0240727914033322412223379076436e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.363
y[1] (analytic) = 4.9724646816720542565903800419478
y[1] (numeric) = 4.9724646816720542565903800419476
absolute error = 2e-31
relative error = 4.0221502374300920272919881046597e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.364
y[1] (analytic) = 4.9748407847320928664487849348509
y[1] (numeric) = 4.9748407847320928664487849348507
absolute error = 2e-31
relative error = 4.0202291621835387182264557150731e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.365
y[1] (analytic) = 4.9772173291761182955473326756223
y[1] (numeric) = 4.9772173291761182955473326756221
absolute error = 2e-31
relative error = 4.0183095648167350034682265967278e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.366
y[1] (analytic) = 4.9795943140640361782017952231266
y[1] (numeric) = 4.9795943140640361782017952231264
absolute error = 2e-31
relative error = 4.0163914444823999856734030540439e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.367
y[1] (analytic) = 4.9819717384554117048638613037391
y[1] (numeric) = 4.9819717384554117048638613037389
absolute error = 2e-31
relative error = 4.0144748003329121228040533874318e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=576.0MB, alloc=4.5MB, time=29.45
TOP MAIN SOLVE Loop
x[1] = 4.368
y[1] (analytic) = 4.984349601409470562555867590092
y[1] (numeric) = 4.9843496014094705625558675900919
absolute error = 1e-31
relative error = 2.0062798157601560812339588749430e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.369
y[1] (analytic) = 4.9867279019850998756450332808814
y[1] (numeric) = 4.9867279019850998756450332808813
absolute error = 1e-31
relative error = 2.0053229685981530342587325514192e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.37
y[1] (analytic) = 4.9891066392408491469562573075772
y[1] (numeric) = 4.989106639240849146956257307577
absolute error = 2e-31
relative error = 4.0087337165122679399203022843227e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.371
y[1] (analytic) = 4.9914858122349311992225370553189
y[1] (numeric) = 4.9914858122349311992225370553187
absolute error = 2e-31
relative error = 4.0068229686192429219129422822973e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.372
y[1] (analytic) = 4.9938654200252231168720671476562
y[1] (numeric) = 4.993865420025223116872067147656
absolute error = 2e-31
relative error = 4.0049136926679501094499447452737e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.373
y[1] (analytic) = 4.9962454616692671881510765081139
y[1] (numeric) = 4.9962454616692671881510765081137
absolute error = 2e-31
relative error = 4.0030058878087854429604475618467e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.374
y[1] (analytic) = 4.998625936224271847581461575823
y[1] (numeric) = 4.9986259362242718475814615758228
absolute error = 2e-31
relative error = 4.0010995531918245964241140010034e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.375
y[1] (analytic) = 5.0010068427471126187522732176629
y[1] (numeric) = 5.0010068427471126187522732176627
absolute error = 2e-31
relative error = 3.9991946879668258577785254268340e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.376
y[1] (analytic) = 5.0033881802943330574441145455071
y[1] (numeric) = 5.0033881802943330574441145455069
absolute error = 2e-31
relative error = 3.9972912912832330016700549851576e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.377
y[1] (analytic) = 5.0057699479221456950855065142522
y[1] (numeric) = 5.0057699479221456950855065142519
absolute error = 3e-31
relative error = 5.9930840434352672318403943593793e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.378
y[1] (analytic) = 5.0081521446864329825402778443436
y[1] (numeric) = 5.0081521446864329825402778443434
absolute error = 2e-31
relative error = 3.9934889001364846521998591780037e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.379
y[1] (analytic) = 5.0105347696427482342250354814876
y[1] (numeric) = 5.0105347696427482342250354814874
absolute error = 2e-31
relative error = 3.9915899039706698894822843179830e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.38
y[1] (analytic) = 5.0129178218463165725557714761559
y[1] (numeric) = 5.0129178218463165725557714761557
absolute error = 2e-31
relative error = 3.9896923729409481626889638119615e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.381
y[1] (analytic) = 5.015301300352035872722661836357
y[1] (numeric) = 5.0153013003520358727226618363567
absolute error = 3e-31
relative error = 5.9816944592928502562074447360145e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.382
y[1] (analytic) = 5.0176852042144777077921125789518
y[1] (numeric) = 5.0176852042144777077921125789515
absolute error = 3e-31
relative error = 5.9788525543217137638756625306296e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.383
y[1] (analytic) = 5.0200695324878882941351078775485
y[1] (numeric) = 5.0200695324878882941351078775482
absolute error = 3e-31
relative error = 5.9760128432189957340599616801217e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.384
y[1] (analytic) = 5.0224542842261894371809148787056
y[1] (numeric) = 5.0224542842261894371809148787053
absolute error = 3e-31
relative error = 5.9731753247052414255727236325093e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.385
y[1] (analytic) = 5.0248394584829794774951994328176
y[1] (numeric) = 5.0248394584829794774951994328173
absolute error = 3e-31
relative error = 5.9703399975005625955937730956028e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.386
y[1] (analytic) = 5.0272250543115342371816066616471
y[1] (numeric) = 5.0272250543115342371816066616468
absolute error = 3e-31
relative error = 5.9675068603246416949434542219736e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.387
y[1] (analytic) = 5.0296110707648079666058599610007
y[1] (numeric) = 5.0296110707648079666058599610004
absolute error = 3e-31
relative error = 5.9646759118967360520699871496453e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.388
y[1] (analytic) = 5.0319975068954342914414317145292
y[1] (numeric) = 5.0319975068954342914414317145289
absolute error = 3e-31
relative error = 5.9618471509356820457692391294970e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.389
y[1] (analytic) = 5.0343843617557271600358386730597
y[1] (numeric) = 5.0343843617557271600358386730594
absolute error = 3e-31
relative error = 5.9590205761598992666550499462629e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.39
y[1] (analytic) = 5.0367716343976817910966146332443
y[1] (numeric) = 5.0367716343976817910966146332439
absolute error = 4e-31
relative error = 7.9415949150498595565310088301629e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.391
y[1] (analytic) = 5.0391593238729756216960127296299
y[1] (numeric) = 5.0391593238729756216960127296296
absolute error = 3e-31
relative error = 5.9533739800357667017525674861410e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.392
y[1] (analytic) = 5.0415474292329692555934893355283
y[1] (numeric) = 5.0415474292329692555934893355279
absolute error = 4e-31
relative error = 7.9340719414962792698472541035851e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.393
y[1] (analytic) = 5.0439359495287074118750212502784
y[1] (numeric) = 5.043935949528707411875021250278
absolute error = 4e-31
relative error = 7.9303148176846889967095014511529e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.394
y[1] (analytic) = 5.0463248838109198739083075336662
y[1] (numeric) = 5.0463248838109198739083075336658
absolute error = 4e-31
relative error = 7.9265606002347816886547160411191e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.395
y[1] (analytic) = 5.0487142311300224386129070323766
y[1] (numeric) = 5.0487142311300224386129070323761
absolute error = 5e-31
relative error = 9.9035116092932060566310278021995e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=579.8MB, alloc=4.5MB, time=29.63
TOP MAIN SOLVE Loop
x[1] = 4.396
y[1] (analytic) = 5.05110399053611786604436232842
y[1] (numeric) = 5.0511039905361178660443623284196
absolute error = 4e-31
relative error = 7.9190608775715286711491672946209e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.397
y[1] (analytic) = 5.0534941610789968292913605254898
y[1] (numeric) = 5.0534941610789968292913605254893
absolute error = 5e-31
relative error = 9.8941442111658143813112899358185e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.398
y[1] (analytic) = 5.0558847418081388646849809761663
y[1] (numeric) = 5.0558847418081388646849809761659
absolute error = 4e-31
relative error = 7.9115727598044052349608430797101e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.399
y[1] (analytic) = 5.0582757317727133223190797408025
y[1] (numeric) = 5.0582757317727133223190797408021
absolute error = 4e-31
relative error = 7.9078330484727606979023336154303e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.4
y[1] (analytic) = 5.0606671300215803168808602577823
y[1] (numeric) = 5.0606671300215803168808602577819
absolute error = 4e-31
relative error = 7.9040962332231930651858996206279e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.401
y[1] (analytic) = 5.0630589356032916787906793946629
y[1] (numeric) = 5.0630589356032916787906793946625
absolute error = 4e-31
relative error = 7.9003623123406872129434086891369e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.402
y[1] (analytic) = 5.0654511475660919056501377404732
y[1] (numeric) = 5.0654511475660919056501377404728
absolute error = 4e-31
relative error = 7.8966312841097430779667178362647e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.403
y[1] (analytic) = 5.0678437649579191139975026911574
y[1] (numeric) = 5.0678437649579191139975026911569
absolute error = 5e-31
relative error = 9.8661289335179762486102036155600e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.404
y[1] (analytic) = 5.0702367868264059913695125728194
y[1] (numeric) = 5.070236786826405991369512572819
absolute error = 4e-31
relative error = 7.8891778987381470427252849647997e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.405
y[1] (analytic) = 5.0726302122188807486686097410453
y[1] (numeric) = 5.0726302122188807486686097410449
absolute error = 4e-31
relative error = 7.8854555381641183168140628601096e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.406
y[1] (analytic) = 5.0750240401823680728346502891471
y[1] (numeric) = 5.0750240401823680728346502891467
absolute error = 4e-31
relative error = 7.8817360633749082661549234517611e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.407
y[1] (analytic) = 5.0774182697635900798201376937003
y[1] (numeric) = 5.0774182697635900798201376936999
absolute error = 4e-31
relative error = 7.8780194726526719561958048251116e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.408
y[1] (analytic) = 5.0798129000089672678680274222193
y[1] (numeric) = 5.0798129000089672678680274222189
absolute error = 4e-31
relative error = 7.8743057642791113410765496523992e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.409
y[1] (analytic) = 5.0822079299646194710911492252461
y[1] (numeric) = 5.0822079299646194710911492252457
absolute error = 4e-31
relative error = 7.8705949365354805173589086303445e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.41
y[1] (analytic) = 5.0846033586763668133522935335094
y[1] (numeric) = 5.0846033586763668133522935335089
absolute error = 5e-31
relative error = 9.8336087346282387040830449531487e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.411
y[1] (analytic) = 5.0869991851897306624440080801469
y[1] (numeric) = 5.0869991851897306624440080801464
absolute error = 5e-31
relative error = 9.8289773950760209543232009818015e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.412
y[1] (analytic) = 5.0893954085499345845671505682746
y[1] (numeric) = 5.0893954085499345845671505682741
absolute error = 5e-31
relative error = 9.8243496498626247742039001542641e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.413
y[1] (analytic) = 5.0917920278019052991072429054286
y[1] (numeric) = 5.0917920278019052991072429054282
absolute error = 4e-31
relative error = 7.8557803974699550450916404135010e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.414
y[1] (analytic) = 5.0941890419902736337076722286062
y[1] (numeric) = 5.0941890419902736337076722286058
absolute error = 4e-31
relative error = 7.8520839470794755489616558700383e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.415
y[1] (analytic) = 5.0965864501593754796387836467832
y[1] (numeric) = 5.0965864501593754796387836467827
absolute error = 5e-31
relative error = 9.8104879587466722508129411981935e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.416
y[1] (analytic) = 5.0989842513532527474619093318959
y[1] (numeric) = 5.0989842513532527474619093318954
absolute error = 5e-31
relative error = 9.8058745693772584800047887795708e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.417
y[1] (analytic) = 5.1013824446156543229873782943378
y[1] (numeric) = 5.1013824446156543229873782943373
absolute error = 5e-31
relative error = 9.8012647635884264194078370810121e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.418
y[1] (analytic) = 5.1037810289900370235255508850399
y[1] (numeric) = 5.1037810289900370235255508850394
absolute error = 5e-31
relative error = 9.7966585392269978357166172247026e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.419
y[1] (analytic) = 5.1061800035195665544299217731815
y[1] (numeric) = 5.106180003519566554429921773181
absolute error = 5e-31
relative error = 9.7920558941392993540922841230122e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.42
y[1] (analytic) = 5.1085793672471184659313348565068
y[1] (numeric) = 5.1085793672471184659313348565063
absolute error = 5e-31
relative error = 9.7874568261711688277559081393950e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.421
y[1] (analytic) = 5.1109791192152791102623532701127
y[1] (numeric) = 5.1109791192152791102623532701122
absolute error = 5e-31
relative error = 9.7828613331679616898031044499537e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.422
y[1] (analytic) = 5.113379258466346599070827369418
y[1] (numeric) = 5.1133792584663465990708273694175
absolute error = 5e-31
relative error = 9.7782694129745572872703626153696e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.423
y[1] (analytic) = 5.1157797840423317611217032738248
y[1] (numeric) = 5.1157797840423317611217032738243
absolute error = 5e-31
relative error = 9.7736810634353651974834379029582e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=583.6MB, alloc=4.5MB, time=29.82
TOP MAIN SOLVE Loop
x[1] = 4.424
y[1] (analytic) = 5.1181806949849591002861142693442
y[1] (numeric) = 5.1181806949849591002861142693437
absolute error = 5e-31
relative error = 9.7690962823943315267181646575434e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.425
y[1] (analytic) = 5.1205819903356677538167970811741
y[1] (numeric) = 5.1205819903356677538167970811736
absolute error = 5e-31
relative error = 9.7645150676949451912040505090783e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.426
y[1] (analytic) = 5.1229836691356124509088747408937
y[1] (numeric) = 5.1229836691356124509088747408932
absolute error = 5e-31
relative error = 9.7599374171802441805010084258978e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.427
y[1] (analytic) = 5.1253857304256644715450474875701
y[1] (numeric) = 5.1253857304256644715450474875696
absolute error = 5e-31
relative error = 9.7553633286928218032795815765796e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.428
y[1] (analytic) = 5.1277881732464126056242328576675
y[1] (numeric) = 5.1277881732464126056242328576671
absolute error = 4e-31
relative error = 7.8006342400598663324280109216171e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.429
y[1] (analytic) = 5.1301909966381641123726958351986
y[1] (numeric) = 5.1301909966381641123726958351981
absolute error = 5e-31
relative error = 9.7462258291680001312655147239238e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.43
y[1] (analytic) = 5.1325941996409456800367096510664
y[1] (numeric) = 5.1325941996409456800367096510659
absolute error = 5e-31
relative error = 9.7416624138136200156450698778092e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.431
y[1] (analytic) = 5.1349977812945043858557875390184
y[1] (numeric) = 5.1349977812945043858557875390179
absolute error = 5e-31
relative error = 9.7371025518525692607211347593729e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.432
y[1] (analytic) = 5.1374017406383086563155254750587
y[1] (numeric) = 5.1374017406383086563155254750583
absolute error = 4e-31
relative error = 7.7860369929002486749340470510347e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.433
y[1] (analytic) = 5.1398060767115492276790956475572
y[1] (numeric) = 5.1398060767115492276790956475568
absolute error = 4e-31
relative error = 7.7823947835775201340984587039711e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.434
y[1] (analytic) = 5.1422107885531401067964301266412
y[1] (numeric) = 5.1422107885531401067964301266408
absolute error = 4e-31
relative error = 7.7787554117855929481165423414935e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.435
y[1] (analytic) = 5.1446158752017195321901339237665
y[1] (numeric) = 5.1446158752017195321901339237661
absolute error = 4e-31
relative error = 7.7751188757958740034506028710816e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.436
y[1] (analytic) = 5.1470213356956509354171663556354
y[1] (numeric) = 5.1470213356956509354171663556349
absolute error = 5e-31
relative error = 9.7143564673493234775007287717862e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.437
y[1] (analytic) = 5.1494271690730239027053293508587
y[1] (numeric) = 5.1494271690730239027053293508582
absolute error = 5e-31
relative error = 9.7098178803839202728641169642866e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.438
y[1] (analytic) = 5.1518333743716551368636010629558
y[1] (numeric) = 5.1518333743716551368636010629554
absolute error = 4e-31
relative error = 7.7642262653493935428493935991047e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.439
y[1] (analytic) = 5.1542399506290894194653528794378
y[1] (numeric) = 5.1542399506290894194653528794373
absolute error = 5e-31
relative error = 9.7007513190955263897429608683481e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.44
y[1] (analytic) = 5.1566468968826005733034876438366
y[1] (numeric) = 5.1566468968826005733034876438362
absolute error = 4e-31
relative error = 7.7569786723581172226677510512070e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.441
y[1] (analytic) = 5.1590542121691924251165366356242
y[1] (numeric) = 5.1590542121691924251165366356238
absolute error = 4e-31
relative error = 7.7533591148640929165248206133786e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.442
y[1] (analytic) = 5.1614618955255997685847525820025
y[1] (numeric) = 5.161461895525599768584752582002
absolute error = 5e-31
relative error = 9.6871779763295959578912773391737e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.443
y[1] (analytic) = 5.1638699459882893275952357055524
y[1] (numeric) = 5.163869945988289327595235705552
absolute error = 4e-31
relative error = 7.7461284692259196515613259527827e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.444
y[1] (analytic) = 5.1662783625934607197751295426975
y[1] (numeric) = 5.1662783625934607197751295426971
absolute error = 4e-31
relative error = 7.7425173776195995194047625741310e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.445
y[1] (analytic) = 5.1686871443770474202919229998637
y[1] (numeric) = 5.1686871443770474202919229998634
absolute error = 3e-31
relative error = 5.8041818283849195989762558411104e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.446
y[1] (analytic) = 5.1710962903747177259198948471168
y[1] (numeric) = 5.1710962903747177259198948471164
absolute error = 4e-31
relative error = 7.7353036481750458001345746491916e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.447
y[1] (analytic) = 5.1735057996218757193717365829102
y[1] (numeric) = 5.1735057996218757193717365829098
absolute error = 4e-31
relative error = 7.7317010068730461037188149095861e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.448
y[1] (analytic) = 5.175915671153662233894389338404
y[1] (numeric) = 5.1759156711536622338943893384035
absolute error = 5e-31
relative error = 9.6601264735937007475957508278296e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.449
y[1] (analytic) = 5.178325904004955818128130225595
y[1] (numeric) = 5.1783259040049558181281302255946
absolute error = 4e-31
relative error = 7.7245041624482735071672154571174e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.45
y[1] (analytic) = 5.1807364972103737012279432702555
y[1] (numeric) = 5.1807364972103737012279432702551
absolute error = 4e-31
relative error = 7.7209099558602244030976448422412e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.451
y[1] (analytic) = 5.1831474498042727582462098083872
y[1] (numeric) = 5.1831474498042727582462098083868
absolute error = 4e-31
relative error = 7.7173185573778128721711165176648e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=587.4MB, alloc=4.5MB, time=30.00
TOP MAIN SOLVE Loop
x[1] = 4.452
y[1] (analytic) = 5.1855587608207504757757529635822
y[1] (numeric) = 5.1855587608207504757757529635818
absolute error = 4e-31
relative error = 7.7137299652678031674644003392351e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.453
y[1] (analytic) = 5.1879704292936459178522705623267
y[1] (numeric) = 5.1879704292936459178522705623262
absolute error = 5e-31
relative error = 9.6376802222459110599475478438127e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.454
y[1] (analytic) = 5.190382454256540692115190584894
y[1] (numeric) = 5.1903824542565406921151905848936
absolute error = 4e-31
relative error = 7.7065611932308974042436674306707e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.455
y[1] (analytic) = 5.192794834742759916225982991054
y[1] (numeric) = 5.1927948347427599162259829910536
absolute error = 4e-31
relative error = 7.7029810098363948708325920899194e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.456
y[1] (analytic) = 5.1952075697853731845429615023649
y[1] (numeric) = 5.1952075697853731845429615023645
absolute error = 4e-31
relative error = 7.6994036258790904250897533664650e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.457
y[1] (analytic) = 5.1976206584171955350516086663287
y[1] (numeric) = 5.1976206584171955350516086663284
absolute error = 3e-31
relative error = 5.7718717797184807296129281464485e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.458
y[1] (analytic) = 5.2000340996707884165494572721648
y[1] (numeric) = 5.2000340996707884165494572721645
absolute error = 3e-31
relative error = 5.7691929370038717903835922599982e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.459
y[1] (analytic) = 5.2024478925784606560845609334001
y[1] (numeric) = 5.2024478925784606560845609333998
absolute error = 3e-31
relative error = 5.7665161899644255507385936904193e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.46
y[1] (analytic) = 5.2048620361722694266465863988873
y[1] (numeric) = 5.204862036172269426646586398887
absolute error = 3e-31
relative error = 5.7638415372989276142818657808729e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.461
y[1] (analytic) = 5.2072765294840212151095599012386
y[1] (numeric) = 5.2072765294840212151095599012383
absolute error = 3e-31
relative error = 5.7611689777060180379291764192486e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.462
y[1] (analytic) = 5.2096913715452727904252996000092
y[1] (numeric) = 5.2096913715452727904252996000089
absolute error = 3e-31
relative error = 5.7584985098841947213029091074932e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.463
y[1] (analytic) = 5.2121065613873321720665659262796
y[1] (numeric) = 5.2121065613873321720665659262792
absolute error = 4e-31
relative error = 7.6744401767090890482966755498270e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.464
y[1] (analytic) = 5.2145220980412595987189613855655
y[1] (numeric) = 5.2145220980412595987189613855652
absolute error = 3e-31
relative error = 5.7531638443471079463086400568468e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.465
y[1] (analytic) = 5.2169379805378684972206111272388
y[1] (numeric) = 5.2169379805378684972206111272385
absolute error = 3e-31
relative error = 5.7504996440281598667191582020986e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.466
y[1] (analytic) = 5.2193542079077264517486553408565
y[1] (numeric) = 5.2193542079077264517486553408562
absolute error = 3e-31
relative error = 5.7478375302729355140348676318681e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.467
y[1] (analytic) = 5.2217707791811561732515842929891
y[1] (numeric) = 5.2217707791811561732515842929888
absolute error = 3e-31
relative error = 5.7451775017792724963131840843222e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.468
y[1] (analytic) = 5.2241876933882364691264465722921
y[1] (numeric) = 5.2241876933882364691264465722918
absolute error = 3e-31
relative error = 5.7425195572448863933276908824138e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.469
y[1] (analytic) = 5.226604949558803213139960865694
y[1] (numeric) = 5.2266049495588032131399608656937
absolute error = 3e-31
relative error = 5.7398636953673740770116317927636e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.47
y[1] (analytic) = 5.2290225467224503155925613446698
y[1] (numeric) = 5.2290225467224503155925613446695
absolute error = 3e-31
relative error = 5.7372099148442170221233586960031e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.471
y[1] (analytic) = 5.2314404839085306937244064976356
y[1] (numeric) = 5.2314404839085306937244064976353
absolute error = 3e-31
relative error = 5.7345582143727846071517469290806e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.472
y[1] (analytic) = 5.2338587601461572423623810025355
y[1] (numeric) = 5.2338587601461572423623810025352
absolute error = 3e-31
relative error = 5.7319085926503374054795835629694e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.473
y[1] (analytic) = 5.2362773744642038048071199927013
y[1] (numeric) = 5.236277374464203804807119992701
absolute error = 3e-31
relative error = 5.7292610483740304668229261582546e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.474
y[1] (analytic) = 5.23869632589130614395908482904
y[1] (numeric) = 5.2386963258913061439590848290397
absolute error = 3e-31
relative error = 5.7266155802409165889644216969481e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.475
y[1] (analytic) = 5.2411156134558629136827192525555
y[1] (numeric) = 5.2411156134558629136827192525553
absolute error = 2e-31
relative error = 3.8159814579652997198657116148673e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.476
y[1] (analytic) = 5.2435352361860366304077145531289
y[1] (numeric) = 5.2435352361860366304077145531287
absolute error = 2e-31
relative error = 3.8142205781279916731379248200622e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.477
y[1] (analytic) = 5.2459551931097546449664121533726
y[1] (numeric) = 5.2459551931097546449664121533724
absolute error = 2e-31
relative error = 3.8124610797798639695206593637212e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.478
y[1] (analytic) = 5.2483754832547101146663717702377
y[1] (numeric) = 5.2483754832547101146663717702375
absolute error = 2e-31
relative error = 3.8107029620520341516076401938027e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.479
y[1] (analytic) = 5.2507961056483629755971330818867
y[1] (numeric) = 5.2507961056483629755971330818865
absolute error = 2e-31
relative error = 3.8089462240755624031737000646604e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=591.3MB, alloc=4.5MB, time=30.18
TOP MAIN SOLVE Loop
x[1] = 4.48
y[1] (analytic) = 5.2532170593179409151701985931512
y[1] (numeric) = 5.253217059317940915170198593151
absolute error = 2e-31
relative error = 3.8071908649814536917577189010903e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.481
y[1] (analytic) = 5.2556383432904403448912651596726
y[1] (numeric) = 5.2556383432904403448912651596725
absolute error = 1e-31
relative error = 1.9027184419503299524293343260065e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.482
y[1] (analytic) = 5.2580599565926273733637313985761
y[1] (numeric) = 5.258059956592627373363731398576
absolute error = 1e-31
relative error = 1.9018421399820409898783560161335e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.483
y[1] (analytic) = 5.2604818982510387795225079822496
y[1] (numeric) = 5.2604818982510387795225079822495
absolute error = 1e-31
relative error = 1.9009665261512860134856488020542e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.484
y[1] (analytic) = 5.2629041672919829860971575815015
y[1] (numeric) = 5.2629041672919829860971575815014
absolute error = 1e-31
relative error = 1.9000916000234677236840938128894e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.485
y[1] (analytic) = 5.2653267627415410333033909950354
y[1] (numeric) = 5.2653267627415410333033909950353
absolute error = 1e-31
relative error = 1.8992173611639665214636744966949e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.486
y[1] (analytic) = 5.2677496836255675527619457738289
y[1] (numeric) = 5.2677496836255675527619457738288
absolute error = 1e-31
relative error = 1.8983438091381415605918157124141e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.487
y[1] (analytic) = 5.2701729289696917416438734216182
y[1] (numeric) = 5.2701729289696917416438734216181
absolute error = 1e-31
relative error = 1.8974709435113317966760753904493e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.488
y[1] (analytic) = 5.272596497799318337041261026282
y[1] (numeric) = 5.272596497799318337041261026282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.489
y[1] (analytic) = 5.2750203891396285905624129514858
y[1] (numeric) = 5.2750203891396285905624129514858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.49
y[1] (analytic) = 5.2774446020155812431505179934839
y[1] (numeric) = 5.2774446020155812431505179934839
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.491
y[1] (analytic) = 5.2798691354519135001248271844955
y[1] (numeric) = 5.2798691354519135001248271844955
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.492
y[1] (analytic) = 5.2822939884731420064433672015567
y[1] (numeric) = 5.2822939884731420064433672015567
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.493
y[1] (analytic) = 5.2847191601035638221862141182168
y[1] (numeric) = 5.2847191601035638221862141182168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.494
y[1] (analytic) = 5.287144649367257398258352015887
y[1] (numeric) = 5.2871446493672573982583520158869
absolute error = 1e-31
relative error = 1.8913800667808013810133180631641e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.495
y[1] (analytic) = 5.2895704552880835523111407520626
y[1] (numeric) = 5.2895704552880835523111407520625
absolute error = 1e-31
relative error = 1.8905126766962355154806431842225e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.496
y[1] (analytic) = 5.2919965768896864448814169640348
y[1] (numeric) = 5.2919965768896864448814169640347
absolute error = 1e-31
relative error = 1.8896459690979980701462763373242e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.497
y[1] (analytic) = 5.2944230131954945557472521690695
y[1] (numeric) = 5.2944230131954945557472521690694
absolute error = 1e-31
relative error = 1.8887799435512830270389129360707e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.498
y[1] (analytic) = 5.2968497632287216604993916053789
y[1] (numeric) = 5.2968497632287216604993916053788
absolute error = 1e-31
relative error = 1.8879145996212755030132761937863e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.499
y[1] (analytic) = 5.2992768260123678073273972425267
y[1] (numeric) = 5.2992768260123678073273972425266
absolute error = 1e-31
relative error = 1.8870499368731527613846485470097e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.5
y[1] (analytic) = 5.3017042005692202940195181752062
y[1] (numeric) = 5.3017042005692202940195181752061
absolute error = 1e-31
relative error = 1.8861859548720852204829205692888e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.501
y[1] (analytic) = 5.3041318859218546451753114006022
y[1] (numeric) = 5.3041318859218546451753114006021
absolute error = 1e-31
relative error = 1.8853226531832374591320686886059e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.502
y[1] (analytic) = 5.306559881092635589630035766797
y[1] (numeric) = 5.3065598810926355896300357667969
absolute error = 1e-31
relative error = 1.8844600313717692190609693526149e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.503
y[1] (analytic) = 5.3089881851037180380898416679085
y[1] (numeric) = 5.3089881851037180380898416679084
absolute error = 1e-31
relative error = 1.8835980890028364042514535823422e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.504
y[1] (analytic) = 5.3114167969770480609767788508514
y[1] (numeric) = 5.3114167969770480609767788508513
absolute error = 1e-31
relative error = 1.8827368256415920772295021173152e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.505
y[1] (analytic) = 5.3138457157343638664826444887965
y[1] (numeric) = 5.3138457157343638664826444887964
absolute error = 1e-31
relative error = 1.8818762408531874523054775834525e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.506
y[1] (analytic) = 5.3162749403971967788306934675598
y[1] (numeric) = 5.3162749403971967788306934675597
absolute error = 1e-31
relative error = 1.8810163342027728857692863096940e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.507
y[1] (analytic) = 5.3187044699868722167442326232944
y[1] (numeric) = 5.3187044699868722167442326232943
absolute error = 1e-31
relative error = 1.8801571052554988630463585804827e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=595.1MB, alloc=4.5MB, time=30.37
x[1] = 4.508
y[1] (analytic) = 5.321134303524510672121120462971
y[1] (numeric) = 5.3211343035245106721211204629709
absolute error = 1e-31
relative error = 1.8792985535765169828203322390473e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.509
y[1] (analytic) = 5.32356444003102868891319369323
y[1] (numeric) = 5.3235644400310286889131936932299
absolute error = 1e-31
relative error = 1.8784406787309809381283206511938e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.51
y[1] (analytic) = 5.3259948785271398422096416782592
y[1] (numeric) = 5.3259948785271398422096416782592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.511
y[1] (analytic) = 5.3284256180333557175233497434056
y[1] (numeric) = 5.3284256180333557175233497434055
absolute error = 1e-31
relative error = 1.8767269578008774646888837206864e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.512
y[1] (analytic) = 5.3308566575699868902792320382575
y[1] (numeric) = 5.3308566575699868902792320382574
absolute error = 1e-31
relative error = 1.8758711108466366813741690479736e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.513
y[1] (analytic) = 5.3332879961571439055035744709484
y[1] (numeric) = 5.3332879961571439055035744709483
absolute error = 1e-31
relative error = 1.8750159389864969655514942803152e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.514
y[1] (analytic) = 5.335719632814738257713408024419
y[1] (numeric) = 5.3357196328147382577134080244189
absolute error = 1e-31
relative error = 1.8741614417856370929059942135402e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.515
y[1] (analytic) = 5.3381515665624833710049325653465
y[1] (numeric) = 5.3381515665624833710049325653464
absolute error = 1e-31
relative error = 1.8733076188092437568009947646867e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.516
y[1] (analytic) = 5.3405837964198955793400110574
y[1] (numeric) = 5.3405837964198955793400110573999
absolute error = 1e-31
relative error = 1.8724544696225125283457048421764e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.517
y[1] (analytic) = 5.3430163214062951070297538924076
y[1] (numeric) = 5.3430163214062951070297538924075
absolute error = 1e-31
relative error = 1.8716019937906488134823961658592e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.518
y[1] (analytic) = 5.3454491405408070494142128559345
y[1] (numeric) = 5.3454491405408070494142128559344
absolute error = 1e-31
relative error = 1.8707501908788688070989154457975e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.519
y[1] (analytic) = 5.3478822528423623537372040476583
y[1] (numeric) = 5.3478822528423623537372040476581
absolute error = 2e-31
relative error = 3.7397981209048008883447382084473e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.52
y[1] (analytic) = 5.3503156573296988002152788818011
y[1] (numeric) = 5.350315657329698800215278881801
absolute error = 1e-31
relative error = 1.8690486020764843479498164698987e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.521
y[1] (analytic) = 5.3527493530213619832998620987297
y[1] (numeric) = 5.3527493530213619832998620987296
absolute error = 1e-31
relative error = 1.8681988153163747751718030883158e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.522
y[1] (analytic) = 5.3551833389357062931315755256659
y[1] (numeric) = 5.3551833389357062931315755256658
absolute error = 1e-31
relative error = 1.8673496997373405583445614750544e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.523
y[1] (analytic) = 5.3576176140908958971857661322667
y[1] (numeric) = 5.3576176140908958971857661322667
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.524
y[1] (analytic) = 5.3600521775049057221082567356277
y[1] (numeric) = 5.3600521775049057221082567356277
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.525
y[1] (analytic) = 5.3624870281955224357403375190398
y[1] (numeric) = 5.3624870281955224357403375190398
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.526
y[1] (analytic) = 5.3649221651803454293320163395909
y[1] (numeric) = 5.3649221651803454293320163395909
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.527
y[1] (analytic) = 5.3673575874767877999425456114434
y[1] (numeric) = 5.3673575874767877999425456114434
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.528
y[1] (analytic) = 5.3697932941020773330272433643426
y[1] (numeric) = 5.3697932941020773330272433643426
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.529
y[1] (analytic) = 5.3722292840732574852096258906169
y[1] (numeric) = 5.3722292840732574852096258906168
absolute error = 1e-31
relative error = 1.8614246472402864612053221561045e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.53
y[1] (analytic) = 5.3746655564071883672378692086186
y[1] (numeric) = 5.3746655564071883672378692086185
absolute error = 1e-31
relative error = 1.8605808854615907764466128034778e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.531
y[1] (analytic) = 5.3771021101205477271246163862272
y[1] (numeric) = 5.3771021101205477271246163862271
absolute error = 1e-31
relative error = 1.8597377909521998711408062394124e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.532
y[1] (analytic) = 5.3795389442298319334691475846873
y[1] (numeric) = 5.3795389442298319334691475846872
absolute error = 1e-31
relative error = 1.8588953632775795152866320460961e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.533
y[1] (analytic) = 5.3819760577513569589609295006959
y[1] (numeric) = 5.3819760577513569589609295006958
absolute error = 1e-31
relative error = 1.8580536020032202265169718915308e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.534
y[1] (analytic) = 5.384413449701259364063560703269
y[1] (numeric) = 5.3844134497012593640635607032689
absolute error = 1e-31
relative error = 1.8572125066946381774079894874832e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.535
y[1] (analytic) = 5.3868511190954972808781291815259
y[1] (numeric) = 5.3868511190954972808781291815259
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=598.9MB, alloc=4.5MB, time=30.56
x[1] = 4.536
y[1] (analytic) = 5.3892890649498513971849982401153
y[1] (numeric) = 5.3892890649498513971849982401153
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.537
y[1] (analytic) = 5.3917272862799259406630367005782
y[1] (numeric) = 5.3917272862799259406630367005782
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.538
y[1] (analytic) = 5.3941657821011496632853091895011
y[1] (numeric) = 5.3941657821011496632853091895011
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.539
y[1] (analytic) = 5.3966045514287768258902421178501
y[1] (numeric) = 5.3966045514287768258902421178501
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.54
y[1] (analytic) = 5.3990435932778881829272807804022
y[1] (numeric) = 5.3990435932778881829272807804022
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.541
y[1] (analytic) = 5.4014829066633919673760528296989
y[1] (numeric) = 5.4014829066633919673760528296989
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.542
y[1] (analytic) = 5.4039224906000248758380532054409
y[1] (numeric) = 5.4039224906000248758380532054409
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.543
y[1] (analytic) = 5.4063623441023530537998654277203
y[1] (numeric) = 5.4063623441023530537998654277204
absolute error = 1e-31
relative error = 1.8496725457014022821881526348777e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.544
y[1] (analytic) = 5.4088024661847730810669339909524
y[1] (numeric) = 5.4088024661847730810669339909525
absolute error = 1e-31
relative error = 1.8488380861602691944983064370263e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.545
y[1] (analytic) = 5.4112428558615129573669024248151
y[1] (numeric) = 5.4112428558615129573669024248152
absolute error = 1e-31
relative error = 1.8480042878075410941400464959954e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.546
y[1] (analytic) = 5.4136835121466330881215314189417
y[1] (numeric) = 5.4136835121466330881215314189418
absolute error = 1e-31
relative error = 1.8471711502091117420230598749152e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.547
y[1] (analytic) = 5.4161244340540272703862112395301
y[1] (numeric) = 5.4161244340540272703862112395302
absolute error = 1e-31
relative error = 1.8463386729309120893977309927025e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.548
y[1] (analytic) = 5.4185656205974236789560824984381
y[1] (numeric) = 5.4185656205974236789560824984382
absolute error = 1e-31
relative error = 1.8455068555389111454232554308455e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.549
y[1] (analytic) = 5.421007070790385852637779168727
y[1] (numeric) = 5.4210070707903858526377791687272
absolute error = 2e-31
relative error = 3.6893513951982336838800440625325e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.55
y[1] (analytic) = 5.4234487836463136806858075749921
y[1] (numeric) = 5.4234487836463136806858075749922
absolute error = 1e-31
relative error = 1.8438451986775768954519582376319e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.551
y[1] (analytic) = 5.4258907581784443894025749221825
y[1] (numeric) = 5.4258907581784443894025749221827
absolute error = 2e-31
relative error = 3.6860307166807593326490570424233e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.552
y[1] (analytic) = 5.4283329933998535289010807629665
y[1] (numeric) = 5.4283329933998535289010807629667
absolute error = 2e-31
relative error = 3.6843723523073100304081411930216e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.553
y[1] (analytic) = 5.4307754883234559600292846410298
y[1] (numeric) = 5.43077548832345596002928464103
absolute error = 2e-31
relative error = 3.6827153033671503133282979433054e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.554
y[1] (analytic) = 5.4332182419620068414551629860241
y[1] (numeric) = 5.4332182419620068414551629860243
absolute error = 2e-31
relative error = 3.6810595689927110201692003879705e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.555
y[1] (analytic) = 5.43566125332810261691146817519
y[1] (numeric) = 5.4356612533281026169114681751902
absolute error = 2e-31
relative error = 3.6794051483165110955378778857175e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.556
y[1] (analytic) = 5.4381045214341820025992025169777
y[1] (numeric) = 5.4381045214341820025992025169779
absolute error = 2e-31
relative error = 3.6777520404711592806115777782442e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.557
y[1] (analytic) = 5.4405480452925269747488197532736
y[1] (numeric) = 5.4405480452925269747488197532738
absolute error = 2e-31
relative error = 3.6761002445893557983599939696027e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.558
y[1] (analytic) = 5.4429918239152637573381665191142
y[1] (numeric) = 5.4429918239152637573381665191144
absolute error = 2e-31
relative error = 3.6744497598038940332781691336631e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.559
y[1] (analytic) = 5.4454358563143638099661760420273
y[1] (numeric) = 5.4454358563143638099661760420275
absolute error = 2e-31
relative error = 3.6728005852476622056413667115794e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.56
y[1] (analytic) = 5.4478801415016448158813262073901
y[1] (numeric) = 5.4478801415016448158813262073903
absolute error = 2e-31
relative error = 3.6711527200536450402931982089970e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.561
y[1] (analytic) = 5.4503246784887716701638739614274
y[1] (numeric) = 5.4503246784887716701638739614276
absolute error = 2e-31
relative error = 3.6695061633549254299782806046243e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.562
y[1] (analytic) = 5.4527694662872574680608778696989
y[1] (numeric) = 5.4527694662872574680608778696991
absolute error = 2e-31
relative error = 3.6678609142846860932306879380677e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.563
y[1] (analytic) = 5.4552145039084644934730204961343
y[1] (numeric) = 5.4552145039084644934730204961346
absolute error = 3e-31
relative error = 5.4993254579643168402441755337711e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.564
y[1] (analytic) = 5.4576597903636052075922421158778
y[1] (numeric) = 5.457659790363605207592242115878
absolute error = 2e-31
relative error = 3.6645743355628881528323430606118e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=602.7MB, alloc=4.5MB, time=30.74
TOP MAIN SOLVE Loop
x[1] = 4.565
y[1] (analytic) = 5.460105324663743237689197124388
y[1] (numeric) = 5.4601053246637432376891971243883
absolute error = 3e-31
relative error = 5.4943995062673134402987950951629e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.566
y[1] (analytic) = 5.462551105819794366049544355423
y[1] (numeric) = 5.4625511058197943660495443554232
absolute error = 2e-31
relative error = 3.6612929769557721410159500497812e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.567
y[1] (analytic) = 5.4649971328425275190580823716984
y[1] (numeric) = 5.4649971328425275190580823716987
absolute error = 3e-31
relative error = 5.4894813795439263319959810544447e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.568
y[1] (analytic) = 5.4674434047425657564297406441696
y[1] (numeric) = 5.46744340474256575642974064417
absolute error = 4e-31
relative error = 7.3160336630651227732252536384070e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.569
y[1] (analytic) = 5.4698899205303872605864373890263
y[1] (numeric) = 5.4698899205303872605864373890267
absolute error = 4e-31
relative error = 7.3127614231990622036918929892507e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.57
y[1] (analytic) = 5.4723366792163263261788146856254
y[1] (numeric) = 5.4723366792163263261788146856258
absolute error = 4e-31
relative error = 7.3094917847284674525369171374433e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.571
y[1] (analytic) = 5.4747836798105743497518613537099
y[1] (numeric) = 5.4747836798105743497518613537103
absolute error = 4e-31
relative error = 7.3062247459216482455349267399595e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.572
y[1] (analytic) = 5.4772309213231808195534339243724
y[1] (numeric) = 5.4772309213231808195534339243728
absolute error = 4e-31
relative error = 7.3029603050471465238864752570543e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.573
y[1] (analytic) = 5.4796784027640543054846858963254
y[1] (numeric) = 5.4796784027640543054846858963257
absolute error = 3e-31
relative error = 5.4747738452803047312772997969046e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.574
y[1] (analytic) = 5.482126123142963449191415327131
y[1] (numeric) = 5.4821261231429634491914153271314
absolute error = 4e-31
relative error = 7.2964392101704435528723692615263e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.575
y[1] (analytic) = 5.4845740814695379542953406681266
y[1] (numeric) = 5.484574081469537954295340668127
absolute error = 4e-31
relative error = 7.2931825527065159873258920272677e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.576
y[1] (analytic) = 5.4870222767532695767643146118501
y[1] (numeric) = 5.4870222767532695767643146118505
absolute error = 4e-31
relative error = 7.2899284862514596167313322428617e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.577
y[1] (analytic) = 5.4894707080035131154204855818372
y[1] (numeric) = 5.4894707080035131154204855818375
absolute error = 3e-31
relative error = 5.4650077568062689072238493449745e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.578
y[1] (analytic) = 5.4919193742294874025854163567082
y[1] (numeric) = 5.4919193742294874025854163567085
absolute error = 3e-31
relative error = 5.4625710895854110820405602495205e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.579
y[1] (analytic) = 5.4943682744402762948611691835114
y[1] (numeric) = 5.4943682744402762948611691835117
absolute error = 3e-31
relative error = 5.4601363617287135262060770633380e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.58
y[1] (analytic) = 5.4968174076448296640463665993177
y[1] (numeric) = 5.496817407644829664046366599318
absolute error = 3e-31
relative error = 5.4577035719390616533247854144878e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.581
y[1] (analytic) = 5.4992667728519643881862370450905
y[1] (numeric) = 5.4992667728519643881862370450908
absolute error = 3e-31
relative error = 5.4552727189195363362591654487390e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.582
y[1] (analytic) = 5.5017163690703653427556542218664
y[1] (numeric) = 5.5017163690703653427556542218667
absolute error = 3e-31
relative error = 5.4528438013734162341590741238899e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.583
y[1] (analytic) = 5.5041661953085863919741790062906
y[1] (numeric) = 5.5041661953085863919741790062909
absolute error = 3e-31
relative error = 5.4504168180041801116756985199992e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.584
y[1] (analytic) = 5.5066162505750513802521126105473
y[1] (numeric) = 5.5066162505750513802521126105476
absolute error = 3e-31
relative error = 5.4479917675155091503767054522684e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.585
y[1] (analytic) = 5.5090665338780551237665695407151
y[1] (numeric) = 5.5090665338780551237665695407154
absolute error = 3e-31
relative error = 5.4455686486112892523790951243564e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.586
y[1] (analytic) = 5.5115170442257644021665787775566
y[1] (numeric) = 5.5115170442257644021665787775569
absolute error = 3e-31
relative error = 5.4431474599956133362162489545192e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.587
y[1] (analytic) = 5.5139677806262189504062214747237
y[1] (numeric) = 5.513967780626218950406221474724
absolute error = 3e-31
relative error = 5.4407282003727836249556440456162e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.588
y[1] (analytic) = 5.516418742087332450704813341324
y[1] (numeric) = 5.5164187420873324507048133413243
absolute error = 3e-31
relative error = 5.4383108684473139265836890531911e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.589
y[1] (analytic) = 5.5188699276168935246331397487476
y[1] (numeric) = 5.5188699276168935246331397487479
absolute error = 3e-31
relative error = 5.4358954629239319066741184339824e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.59
y[1] (analytic) = 5.5213213362225667253247514756035
y[1] (numeric) = 5.5213213362225667253247514756038
absolute error = 3e-31
relative error = 5.4334819825075813533563642308226e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.591
y[1] (analytic) = 5.5237729669118935298113288795506
y[1] (numeric) = 5.5237729669118935298113288795509
absolute error = 3e-31
relative error = 5.4310704259034244346003066693996e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.592
y[1] (analytic) = 5.5262248186922933314811221607433
y[1] (numeric) = 5.5262248186922933314811221607436
absolute error = 3e-31
relative error = 5.4286607918168439478337869082592e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=606.5MB, alloc=4.5MB, time=30.92
TOP MAIN SOLVE Loop
x[1] = 4.593
y[1] (analytic) = 5.5286768905710644326594752585336
y[1] (numeric) = 5.5286768905710644326594752585339
absolute error = 3e-31
relative error = 5.4262530789534455619092472961707e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.594
y[1] (analytic) = 5.5311291815553850373104408009882
y[1] (numeric) = 5.5311291815553850373104408009886
absolute error = 4e-31
relative error = 7.2317963813587467352477952680379e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.595
y[1] (analytic) = 5.5335816906523142438584934056895
y[1] (numeric) = 5.5335816906523142438584934056899
absolute error = 4e-31
relative error = 7.2285912156263273646578378430359e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.596
y[1] (analytic) = 5.5360344168687930381293485101878
y[1] (numeric) = 5.5360344168687930381293485101882
absolute error = 4e-31
relative error = 7.2253886063490528489924089798401e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.597
y[1] (analytic) = 5.5384873592116452864088937913716
y[1] (numeric) = 5.5384873592116452864088937913719
absolute error = 3e-31
relative error = 5.4166414138517118129602070375595e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.598
y[1] (analytic) = 5.5409405166875787286192401149041
y[1] (numeric) = 5.5409405166875787286192401149044
absolute error = 3e-31
relative error = 5.4142432876962654409788915918674e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.599
y[1] (analytic) = 5.5433938883031859716108988387607
y[1] (numeric) = 5.543393888303185971610898838761
absolute error = 3e-31
relative error = 5.4118470750024400731084733420617e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.6
y[1] (analytic) = 5.5458474730649454825700921787708
y[1] (numeric) = 5.5458474730649454825700921787711
absolute error = 3e-31
relative error = 5.4094527744774636139946067191978e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.601
y[1] (analytic) = 5.5483012699792225825402032289371
y[1] (numeric) = 5.5483012699792225825402032289374
absolute error = 3e-31
relative error = 5.4070603848288045019671250567537e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.602
y[1] (analytic) = 5.5507552780522704400563721151654
y[1] (numeric) = 5.5507552780522704400563721151658
absolute error = 4e-31
relative error = 7.2062265396855651771763676399169e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.603
y[1] (analytic) = 5.5532094962902310648922446478916
y[1] (numeric) = 5.553209496290231064892244647892
absolute error = 4e-31
relative error = 7.2030417773220370353023142360199e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.604
y[1] (analytic) = 5.555663923699136301917879726939
y[1] (numeric) = 5.5556639236991363019178797269394
absolute error = 4e-31
relative error = 7.1998595576254256469994285586403e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.605
y[1] (analytic) = 5.5581185592849088250678216407829
y[1] (numeric) = 5.5581185592849088250678216407833
absolute error = 4e-31
relative error = 7.1966798788736673278510521388478e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.606
y[1] (analytic) = 5.5605734020533631314183432922316
y[1] (numeric) = 5.5605734020533631314183432922321
absolute error = 5e-31
relative error = 8.9918784241812918720918357784070e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.607
y[1] (analytic) = 5.5630284510102065353728662733649
y[1] (numeric) = 5.5630284510102065353728662733653
absolute error = 4e-31
relative error = 7.1903281373181335292660265431323e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.608
y[1] (analytic) = 5.5654837051610401629545636043906
y[1] (numeric) = 5.5654837051610401629545636043911
absolute error = 5e-31
relative error = 8.9839450888398969841056019392237e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.609
y[1] (analytic) = 5.5679391635113599462051508439024
y[1] (numeric) = 5.5679391635113599462051508439029
absolute error = 5e-31
relative error = 8.9799831736070993215737321337195e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.61
y[1] (analytic) = 5.5703948250665576176888711718273
y[1] (numeric) = 5.5703948250665576176888711718278
absolute error = 5e-31
relative error = 8.9760244237988242059726579094464e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.611
y[1] (analytic) = 5.5728506888319217051006799411634
y[1] (numeric) = 5.5728506888319217051006799411639
absolute error = 5e-31
relative error = 8.9720688372650584810754896810272e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.612
y[1] (analytic) = 5.5753067538126385259776340904043
y[1] (numeric) = 5.5753067538126385259776340904048
absolute error = 5e-31
relative error = 8.9681164118562290519180201205052e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.613
y[1] (analytic) = 5.5777630190137931825124917053449
y[1] (numeric) = 5.5777630190137931825124917053454
absolute error = 5e-31
relative error = 8.9641671454232063720616625107521e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.614
y[1] (analytic) = 5.5802194834403705564685269167513
y[1] (numeric) = 5.5802194834403705564685269167518
absolute error = 5e-31
relative error = 8.9602210358173079186706483641927e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.615
y[1] (analytic) = 5.5826761460972563041945652191627
y[1] (numeric) = 5.5826761460972563041945652191632
absolute error = 5e-31
relative error = 8.9562780808903016554300794692484e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.616
y[1] (analytic) = 5.5851330059892378517392441958736
y[1] (numeric) = 5.5851330059892378517392441958741
absolute error = 5e-31
relative error = 8.9523382784944094833313977158045e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.617
y[1] (analytic) = 5.5875900621210053900635045359177
y[1] (numeric) = 5.5875900621210053900635045359182
absolute error = 5e-31
relative error = 8.9484016264823106793518041688522e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.618
y[1] (analytic) = 5.5900473134971528703503161306458
y[1] (numeric) = 5.5900473134971528703503161306463
absolute error = 5e-31
relative error = 8.9444681227071453230541269069407e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.619
y[1] (analytic) = 5.5925047591221789994106439402547
y[1] (numeric) = 5.5925047591221789994106439402553
absolute error = 6e-31
relative error = 1.0728645318027021253360326143859e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.62
y[1] (analytic) = 5.5949623980004882351846582243842
y[1] (numeric) = 5.5949623980004882351846582243848
absolute error = 6e-31
relative error = 1.0723932661538999711925629842773e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=610.3MB, alloc=4.5MB, time=31.11
TOP MAIN SOLVE Loop
x[1] = 4.621
y[1] (analytic) = 5.5974202291363917823371936356538
y[1] (numeric) = 5.5974202291363917823371936356544
absolute error = 6e-31
relative error = 1.0719223775209961275185131704246e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.622
y[1] (analytic) = 5.599878251534108587946461580765
y[1] (numeric) = 5.5998782515341085879464615807656
absolute error = 6e-31
relative error = 1.0714518656465926721425245000463e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.623
y[1] (analytic) = 5.6023364641977663372850201605383
y[1] (numeric) = 5.6023364641977663372850201605389
absolute error = 6e-31
relative error = 1.0709817302733490135312705438706e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.624
y[1] (analytic) = 5.6047948661314024496920059079978
y[1] (numeric) = 5.6047948661314024496920059079985
absolute error = 7e-31
relative error = 1.2489306330013126755758486161692e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.625
y[1] (analytic) = 5.6072534563389650745356314523564
y[1] (numeric) = 5.6072534563389650745356314523571
absolute error = 7e-31
relative error = 1.2483830193348124188667241632744e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.626
y[1] (analytic) = 5.6097122338243140872649531464845
y[1] (numeric) = 5.6097122338243140872649531464852
absolute error = 7e-31
relative error = 1.2478358440193791907080651491478e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.627
y[1] (analytic) = 5.6121711975912220855499126061796
y[1] (numeric) = 5.6121711975912220855499126061803
absolute error = 7e-31
relative error = 1.2472891067550545238687217254457e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.628
y[1] (analytic) = 5.6146303466433753855086560212772
y[1] (numeric) = 5.6146303466433753855086560212779
absolute error = 7e-31
relative error = 1.2467428072419491685197697126659e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.629
y[1] (analytic) = 5.6170896799843750180211350113672
y[1] (numeric) = 5.6170896799843750180211350113679
absolute error = 7e-31
relative error = 1.2461969451802435535995497771149e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.63
y[1] (analytic) = 5.6195491966177377251279927125974
y[1] (numeric) = 5.6195491966177377251279927125981
absolute error = 7e-31
relative error = 1.2456515202701882465317362460964e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.631
y[1] (analytic) = 5.6220088955468969565137386967617
y[1] (numeric) = 5.6220088955468969565137386967624
absolute error = 7e-31
relative error = 1.2451065322121044113000864869528e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.632
y[1] (analytic) = 5.6244687757752038660732162395809
y[1] (numeric) = 5.6244687757752038660732162395816
absolute error = 7e-31
relative error = 1.2445619807063842648835171742647e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.633
y[1] (analytic) = 5.6269288363059283085603653717916
y[1] (numeric) = 5.6269288363059283085603653717923
absolute error = 7e-31
relative error = 1.2440178654534915320551491597389e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.634
y[1] (analytic) = 5.6293890761422598363182850643634
y[1] (numeric) = 5.6293890761422598363182850643641
absolute error = 7e-31
relative error = 1.2434741861539618985489580411777e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.635
y[1] (analytic) = 5.6318494942873086960895978178655
y[1] (numeric) = 5.6318494942873086960895978178662
absolute error = 7e-31
relative error = 1.2429309425084034625976629005265e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.636
y[1] (analytic) = 5.634310089744106825906119845701
y[1] (numeric) = 5.6343100897441068259061198457017
absolute error = 7e-31
relative error = 1.2423881342174971848454810464125e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.637
y[1] (analytic) = 5.6367708615156088520568399616212
y[1] (numeric) = 5.636770861515608852056839961622
absolute error = 8e-31
relative error = 1.4192522982651398133021393759081e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.638
y[1] (analytic) = 5.6392318086046930861332102036257
y[1] (numeric) = 5.6392318086046930861332102036265
absolute error = 8e-31
relative error = 1.4186329400031222248027302213431e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.639
y[1] (analytic) = 5.6416929300141625221507511490384
y[1] (numeric) = 5.6416929300141625221507511490392
absolute error = 8e-31
relative error = 1.4180140782635465670774314099890e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.64
y[1] (analytic) = 5.6441542247467458337459747992399
y[1] (numeric) = 5.6441542247467458337459747992406
absolute error = 7e-31
relative error = 1.2402212486165881121522543313875e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.641
y[1] (analytic) = 5.6466156918050983714476278372137
y[1] (numeric) = 5.6466156918050983714476278372144
absolute error = 7e-31
relative error = 1.2396806126117385093475970577058e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.642
y[1] (analytic) = 5.6490773301918031600212579867487
y[1] (numeric) = 5.6490773301918031600212579867494
absolute error = 7e-31
relative error = 1.2391404101671819305082688161775e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.643
y[1] (analytic) = 5.6515391389093718958861061288128
y[1] (numeric) = 5.6515391389093718958861061288135
absolute error = 7e-31
relative error = 1.2386006409841218349645485270105e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.644
y[1] (analytic) = 5.6540011169602459446033267582895
y[1] (numeric) = 5.6540011169602459446033267582902
absolute error = 7e-31
relative error = 1.2380613047638380856892319521745e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.645
y[1] (analytic) = 5.6564632633467973384345392929399
y[1] (numeric) = 5.6564632633467973384345392929406
absolute error = 7e-31
relative error = 1.2375224012076873847466644318619e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.646
y[1] (analytic) = 5.658925577071329773969712676122
y[1] (numeric) = 5.6589255770713297739697126761228
absolute error = 8e-31
relative error = 1.4136959200195470938887558189220e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.647
y[1] (analytic) = 5.6613880571360796098233856454665
y[1] (numeric) = 5.6613880571360796098233856454672
absolute error = 7e-31
relative error = 1.2364458908935987331488926101418e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.648
y[1] (analytic) = 5.6638507025432168643982249713697
y[1] (numeric) = 5.6638507025432168643982249713704
absolute error = 7e-31
relative error = 1.2359082835387622788953029135811e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=614.1MB, alloc=4.5MB, time=31.30
TOP MAIN SOLVE Loop
x[1] = 4.649
y[1] (analytic) = 5.6663135122948462137149239018319
y[1] (numeric) = 5.6663135122948462137149239018326
absolute error = 7e-31
relative error = 1.2353711076542627255841344257691e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.65
y[1] (analytic) = 5.6687764853930079893074429838229
y[1] (numeric) = 5.6687764853930079893074429838237
absolute error = 8e-31
relative error = 1.4112392719335399394047020208298e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.651
y[1] (analytic) = 5.6712396208396791761825953660187
y[1] (numeric) = 5.6712396208396791761825953660195
absolute error = 8e-31
relative error = 1.4106263418323922690095589183105e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.652
y[1] (analytic) = 5.6737029176367744108429786234062
y[1] (numeric) = 5.673702917636774410842978623407
absolute error = 8e-31
relative error = 1.4100139038178934011880961870940e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.653
y[1] (analytic) = 5.6761663747861469793722550809084
y[1] (numeric) = 5.6761663747861469793722550809092
absolute error = 8e-31
relative error = 1.4094019575494569371040693082519e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.654
y[1] (analytic) = 5.6786299912895898155817825508321
y[1] (numeric) = 5.6786299912895898155817825508328
absolute error = 7e-31
relative error = 1.2326916898507651052320378307699e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.655
y[1] (analytic) = 5.6810937661488364992175973375902
y[1] (numeric) = 5.6810937661488364992175973375909
absolute error = 7e-31
relative error = 1.2321570965277762766759950391966e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.656
y[1] (analytic) = 5.6835576983655622542267513028004
y[1] (numeric) = 5.6835576983655622542267513028011
absolute error = 7e-31
relative error = 1.2316229325890385540703608963270e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.657
y[1] (analytic) = 5.6860217869413849470820047245045
y[1] (numeric) = 5.6860217869413849470820047245052
absolute error = 7e-31
relative error = 1.2310891977368640987361940684559e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.658
y[1] (analytic) = 5.6884860308778660851638766258997
y[1] (numeric) = 5.6884860308778660851638766259004
absolute error = 7e-31
relative error = 1.2305558916736474286113543794123e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.659
y[1] (analytic) = 5.6909504291765118151990541916146
y[1] (numeric) = 5.6909504291765118151990541916153
absolute error = 7e-31
relative error = 1.2300230141018658317756834972437e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.66
y[1] (analytic) = 5.693414980838773921754162833204
y[1] (numeric) = 5.6934149808387739217541628332047
absolute error = 7e-31
relative error = 1.2294905647240797784367095674860e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.661
y[1] (analytic) = 5.6958796848660508257838984101747
y[1] (numeric) = 5.6958796848660508257838984101754
absolute error = 7e-31
relative error = 1.2289585432429333313793853593485e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.662
y[1] (analytic) = 5.6983445402596885832325230584942
y[1] (numeric) = 5.6983445402596885832325230584949
absolute error = 7e-31
relative error = 1.2284269493611545548833646740139e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.663
y[1] (analytic) = 5.7008095460209818836877260251694
y[1] (numeric) = 5.70080954602098188368772602517
absolute error = 6e-31
relative error = 1.0524820995270479332382716638925e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.664
y[1] (analytic) = 5.7032747011511750490858508551174
y[1] (numeric) = 5.703274701151175049085850855118
absolute error = 6e-31
relative error = 1.0520271798917440465472358011302e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.665
y[1] (analytic) = 5.7057400046514630324674902251853
y[1] (numeric) = 5.7057400046514630324674902251859
absolute error = 6e-31
relative error = 1.0515726260062058215371488877528e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.666
y[1] (analytic) = 5.708205455522992416782449669806
y[1] (numeric) = 5.7082054555229924167824496698066
absolute error = 6e-31
relative error = 1.0511184376159202258403394007802e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.667
y[1] (analytic) = 5.7106710527668624137430813934107
y[1] (numeric) = 5.7106710527668624137430813934113
absolute error = 6e-31
relative error = 1.0506646144664479612746946369120e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.668
y[1] (analytic) = 5.7131367953841258627249893163475
y[1] (numeric) = 5.7131367953841258627249893163481
absolute error = 6e-31
relative error = 1.0502111563034238065258051865950e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.669
y[1] (analytic) = 5.715602682375790229714106453683
y[1] (numeric) = 5.7156026823757902297141064536836
absolute error = 6e-31
relative error = 1.0497580628725569585364832424216e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.67
y[1] (analytic) = 5.7180687127428186062991456798947
y[1] (numeric) = 5.7180687127428186062991456798953
absolute error = 6e-31
relative error = 1.0493053339196313726066256040181e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.671
y[1] (analytic) = 5.7205348854861307087084248870849
y[1] (numeric) = 5.7205348854861307087084248870855
absolute error = 6e-31
relative error = 1.0488529691905061012063880694042e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.672
y[1] (analytic) = 5.7230011996066038768900674999752
y[1] (numeric) = 5.7230011996066038768900674999759
absolute error = 7e-31
relative error = 1.2231344631696349034232393471689e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.673
y[1] (analytic) = 5.7254676541050740736345792675647
y[1] (numeric) = 5.7254676541050740736345792675654
absolute error = 7e-31
relative error = 1.2226075532853819252263823869771e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.674
y[1] (analytic) = 5.7279342479823368837388022089566
y[1] (numeric) = 5.7279342479823368837388022089573
absolute error = 7e-31
relative error = 1.2220810674399322748606384180851e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.675
y[1] (analytic) = 5.7304009802391485132102465494847
y[1] (numeric) = 5.7304009802391485132102465494854
absolute error = 7e-31
relative error = 1.2215550053371425565875649366940e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.676
y[1] (analytic) = 5.7328678498762267885108014428899
y[1] (numeric) = 5.7328678498762267885108014428906
absolute error = 7e-31
relative error = 1.2210293666809589420479532779019e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=618.0MB, alloc=4.5MB, time=31.49
TOP MAIN SOLVE Loop
x[1] = 4.677
y[1] (analytic) = 5.735334855894252155838825235919
y[1] (numeric) = 5.7353348558942521558388252359197
absolute error = 7e-31
relative error = 1.2205041511754175566094557846749e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.678
y[1] (analytic) = 5.7378019972938686804486159933399
y[1] (numeric) = 5.7378019972938686804486159933406
absolute error = 7e-31
relative error = 1.2199793585246448642371675089539e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.679
y[1] (analytic) = 5.7402692730756850460062629639851
y[1] (numeric) = 5.7402692730756850460062629639858
absolute error = 7e-31
relative error = 1.2194549884328580508905844612340e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.68
y[1] (analytic) = 5.7427366822402755539808796320554
y[1] (numeric) = 5.7427366822402755539808796320561
absolute error = 7e-31
relative error = 1.2189310406043654064503555131212e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.681
y[1] (analytic) = 5.7452042237881811230702189625345
y[1] (numeric) = 5.7452042237881811230702189625351
absolute error = 6e-31
relative error = 1.0443492983516286044384915494101e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.682
y[1] (analytic) = 5.7476718967199102886596714151816
y[1] (numeric) = 5.7476718967199102886596714151822
absolute error = 6e-31
relative error = 1.0439009233328173583260108096316e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.683
y[1] (analytic) = 5.750139700035940202313646268189
y[1] (numeric) = 5.7501397000359402023136462681896
absolute error = 6e-31
relative error = 1.0434529094940942202374699565689e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.684
y[1] (analytic) = 5.7526076327367176312983367602043
y[1] (numeric) = 5.7526076327367176312983367602049
absolute error = 6e-31
relative error = 1.0430052565823247577854195182222e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.685
y[1] (analytic) = 5.7550756938226599581348695280376
y[1] (numeric) = 5.7550756938226599581348695280382
absolute error = 6e-31
relative error = 1.0425579643444542456861855339125e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.686
y[1] (analytic) = 5.7575438822941561801818387869858
y[1] (numeric) = 5.7575438822941561801818387869865
absolute error = 7e-31
relative error = 1.2157962046154259832301785340750e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.687
y[1] (analytic) = 5.7600121971515679092462256713249
y[1] (numeric) = 5.7600121971515679092462256713255
absolute error = 6e-31
relative error = 1.0416644608785916248865427590649e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.688
y[1] (analytic) = 5.7624806373952303712217031241318
y[1] (numeric) = 5.7624806373952303712217031241324
absolute error = 6e-31
relative error = 1.0412182491448914737355763493808e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.689
y[1] (analytic) = 5.7649492020254534057533266982169
y[1] (numeric) = 5.7649492020254534057533266982176
absolute error = 7e-31
relative error = 1.2142344632526206251777408447064e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.69
y[1] (analytic) = 5.767417890042522465927611603558
y[1] (numeric) = 5.7674178900425224659276116035587
absolute error = 7e-31
relative error = 1.2137147218143386272111815344565e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.691
y[1] (analytic) = 5.7698867004466996179869963112417
y[1] (numeric) = 5.7698867004466996179869963112424
absolute error = 7e-31
relative error = 1.2131953993928626152308375228974e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.692
y[1] (analytic) = 5.7723556322382245410676929995339
y[1] (numeric) = 5.7723556322382245410676929995346
absolute error = 7e-31
relative error = 1.2126764956936233859455678774434e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.693
y[1] (analytic) = 5.7748246844173155269599251043098
y[1] (numeric) = 5.7748246844173155269599251043105
absolute error = 7e-31
relative error = 1.2121580104221476727901973928193e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.694
y[1] (analytic) = 5.7772938559841704798895522136913
y[1] (numeric) = 5.777293855984170479889552213692
absolute error = 7e-31
relative error = 1.2116399432840585076254145829217e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.695
y[1] (analytic) = 5.7797631459389679163200825253486
y[1] (numeric) = 5.7797631459389679163200825253493
absolute error = 7e-31
relative error = 1.2111222939850755810181275454713e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.696
y[1] (analytic) = 5.7822325532818679647740730645379
y[1] (numeric) = 5.7822325532818679647740730645386
absolute error = 7e-31
relative error = 1.2106050622310156011056156434042e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.697
y[1] (analytic) = 5.7847020770130133656729178415579
y[1] (numeric) = 5.7847020770130133656729178415587
absolute error = 8e-31
relative error = 1.3829579974031916011963542482969e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.698
y[1] (analytic) = 5.7871717161325304711940241089204
y[1] (numeric) = 5.7871717161325304711940241089211
absolute error = 7e-31
relative error = 1.2095718501814185450640305597540e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.699
y[1] (analytic) = 5.7896414696405302451443768611414
y[1] (numeric) = 5.7896414696405302451443768611421
absolute error = 7e-31
relative error = 1.2090558692980031830785033973540e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.7
y[1] (analytic) = 5.7921113365371092628494917036729
y[1] (numeric) = 5.7921113365371092628494917036736
absolute error = 7e-31
relative error = 1.2085403047837549039429751340481e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.701
y[1] (analytic) = 5.7945813158223507110567562021047
y[1] (numeric) = 5.7945813158223507110567562021054
absolute error = 7e-31
relative error = 1.2080251563449808372747386197073e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.702
y[1] (analytic) = 5.7970514064963253878521598083785
y[1] (numeric) = 5.7970514064963253878521598083791
absolute error = 6e-31
relative error = 1.0350089345897890747648947510211e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.703
y[1] (analytic) = 5.7995216075590927025894124473672
y[1] (numeric) = 5.7995216075590927025894124473679
absolute error = 7e-31
relative error = 1.2069961065195799148595308820598e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.704
y[1] (analytic) = 5.8019919180107016758304518347862
y[1] (numeric) = 5.8019919180107016758304518347869
absolute error = 7e-31
relative error = 1.2064822045460644191389821814735e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=621.8MB, alloc=4.5MB, time=31.68
TOP MAIN SOLVE Loop
x[1] = 4.705
y[1] (analytic) = 5.8044623368511919392963395860092
y[1] (numeric) = 5.8044623368511919392963395860099
absolute error = 7e-31
relative error = 1.2059687174742465498603549946756e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.706
y[1] (analytic) = 5.8069328630805947358275461649793
y[1] (numeric) = 5.80693286308059473582754616498
absolute error = 7e-31
relative error = 1.2054556450109326192047141663967e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.707
y[1] (analytic) = 5.8094034956989339193526247130112
y[1] (numeric) = 5.8094034956989339193526247130119
absolute error = 7e-31
relative error = 1.2049429868630298119093489446821e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.708
y[1] (analytic) = 5.8118742337062269548642737888956
y[1] (numeric) = 5.8118742337062269548642737888963
absolute error = 7e-31
relative error = 1.2044307427375465273960182360738e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.709
y[1] (analytic) = 5.8143450761024859184017890443253
y[1] (numeric) = 5.814345076102485918401789044326
absolute error = 7e-31
relative error = 1.2039189123415927205259306338460e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.71
y[1] (analytic) = 5.8168160218877184970389038522753
y[1] (numeric) = 5.816816021887718497038903852276
absolute error = 7e-31
relative error = 1.2034074953823802409847271641537e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.711
y[1] (analytic) = 5.8192870700619289888760189005798
y[1] (numeric) = 5.8192870700619289888760189005805
absolute error = 7e-31
relative error = 1.2028964915672231713007296739147e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.712
y[1] (analytic) = 5.8217582196251193030358207585586
y[1] (numeric) = 5.8217582196251193030358207585593
absolute error = 7e-31
relative error = 1.2023859006035381634997127607197e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.713
y[1] (analytic) = 5.8242294695772899596612894211596
y[1] (numeric) = 5.8242294695772899596612894211603
absolute error = 7e-31
relative error = 1.2018757221988447743994521191316e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.714
y[1] (analytic) = 5.8267008189184410899150948326913
y[1] (numeric) = 5.826700818918441089915094832692
absolute error = 7e-31
relative error = 1.2013659560607657995472971494394e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.715
y[1] (analytic) = 5.8291722666485734359793823908331
y[1] (numeric) = 5.8291722666485734359793823908338
absolute error = 7e-31
relative error = 1.2008566018970276058040106443477e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.716
y[1] (analytic) = 5.8316438117676893510549474312217
y[1] (numeric) = 5.8316438117676893510549474312224
absolute error = 7e-31
relative error = 1.2003476594154604625771133362624e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.717
y[1] (analytic) = 5.8341154532757937993587986935207
y[1] (numeric) = 5.8341154532757937993587986935214
absolute error = 7e-31
relative error = 1.1998391283239988717069660528404e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.718
y[1] (analytic) = 5.8365871901728953561191107714954
y[1] (numeric) = 5.8365871901728953561191107714961
absolute error = 7e-31
relative error = 1.1993310083306818960088171913673e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.719
y[1] (analytic) = 5.8390590214590072075665655522221
y[1] (numeric) = 5.8390590214590072075665655522228
absolute error = 7e-31
relative error = 1.1988232991436534864740381833694e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.72
y[1] (analytic) = 5.8415309461341481509210826531746
y[1] (numeric) = 5.8415309461341481509210826531753
absolute error = 7e-31
relative error = 1.1983160004711628081337645797151e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.721
y[1] (analytic) = 5.8440029631983435943729388705404
y[1] (numeric) = 5.8440029631983435943729388705411
absolute error = 7e-31
relative error = 1.1978091120215645645881553433764e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.722
y[1] (analytic) = 5.8464750716516265570572766577307
y[1] (numeric) = 5.8464750716516265570572766577313
absolute error = 6e-31
relative error = 1.0262594001457022753181239074819e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.723
y[1] (analytic) = 5.8489472704940386690210016596588
y[1] (numeric) = 5.8489472704940386690210016596594
absolute error = 6e-31
relative error = 1.0258256268214232802747611881349e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.724
y[1] (analytic) = 5.8514195587256311711810693359734
y[1] (numeric) = 5.8514195587256311711810693359741
absolute error = 7e-31
relative error = 1.1962909050952613351234357088682e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.725
y[1] (analytic) = 5.8538919353464659152731607150427
y[1] (numeric) = 5.8538919353464659152731607150434
absolute error = 7e-31
relative error = 1.1957856546229019222064885352403e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.726
y[1] (analytic) = 5.8563643993566163637897473300967
y[1] (numeric) = 5.8563643993566163637897473300973
absolute error = 6e-31
relative error = 1.0245264110715452624069381441463e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.727
y[1] (analytic) = 5.8588369497561685899065453995472
y[1] (numeric) = 5.8588369497561685899065453995478
absolute error = 6e-31
relative error = 1.0240940397308217109158275137765e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.728
y[1] (analytic) = 5.8613095855452222773963593251139
y[1] (numeric) = 5.8613095855452222773963593251146
absolute error = 7e-31
relative error = 1.1942723546394719409744255318630e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.729
y[1] (analytic) = 5.8637823057238917205293145939965
y[1] (numeric) = 5.8637823057238917205293145939972
absolute error = 7e-31
relative error = 1.1937687374865531769953303764787e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.73
y[1] (analytic) = 5.8662551092923068239584801849428
y[1] (numeric) = 5.8662551092923068239584801849435
absolute error = 7e-31
relative error = 1.1932655279365213067466235122525e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.731
y[1] (analytic) = 5.8687279952506141025898805926749
y[1] (numeric) = 5.8687279952506141025898805926756
absolute error = 7e-31
relative error = 1.1927627256988039773508593722423e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.732
y[1] (analytic) = 5.8712009625989776814358976007435
y[1] (numeric) = 5.8712009625989776814358976007442
absolute error = 7e-31
relative error = 1.1922603304829378571660161910718e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=625.6MB, alloc=4.5MB, time=31.86
TOP MAIN SOLVE Loop
x[1] = 4.733
y[1] (analytic) = 5.8736740103375802954510619494928
y[1] (numeric) = 5.8736740103375802954510619494935
absolute error = 7e-31
relative error = 1.1917583419985689445509175210516e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.734
y[1] (analytic) = 5.8761471374666242893492350634271
y[1] (numeric) = 5.8761471374666242893492350634278
absolute error = 7e-31
relative error = 1.1912567599554528753375758943750e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.735
y[1] (analytic) = 5.8786203429863326174011810208808
y[1] (numeric) = 5.8786203429863326174011810208815
absolute error = 7e-31
relative error = 1.1907555840634552290136004447335e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.736
y[1] (analytic) = 5.8810936258969498432115289685032
y[1] (numeric) = 5.881093625896949843211528968504
absolute error = 8e-31
relative error = 1.3602912160372020955632059845728e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.737
y[1] (analytic) = 5.8835669851987431394741262036796
y[1] (numeric) = 5.8835669851987431394741262036803
absolute error = 7e-31
relative error = 1.1897544495728290693521499834100e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.738
y[1] (analytic) = 5.886040419892003287704782169617
y[1] (numeric) = 5.8860404198920032877047821696177
absolute error = 7e-31
relative error = 1.1892544903944841709131397714428e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.739
y[1] (analytic) = 5.8885139289770456779504036304367
y[1] (numeric) = 5.8885139289770456779504036304374
absolute error = 7e-31
relative error = 1.1887549362078255285458053325492e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.74
y[1] (analytic) = 5.890987511454211308473521317219
y[1] (numeric) = 5.8909875114542113084735213172197
absolute error = 7e-31
relative error = 1.1882557867232729878233803468061e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.741
y[1] (analytic) = 5.8934611663238677854112083605585
y[1] (numeric) = 5.8934611663238677854112083605593
absolute error = 8e-31
relative error = 1.3574366190301235978923282066810e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.742
y[1] (analytic) = 5.8959348925864103224073908507946
y[1] (numeric) = 5.8959348925864103224073908507954
absolute error = 8e-31
relative error = 1.3568670865173996114628998855043e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.743
y[1] (analytic) = 5.8984086892422627402175508936887
y[1] (numeric) = 5.8984086892422627402175508936895
absolute error = 8e-31
relative error = 1.3562980155292897382693123644228e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.744
y[1] (analytic) = 5.9008825552918784662848225569306
y[1] (numeric) = 5.9008825552918784662848225569314
absolute error = 8e-31
relative error = 1.3557294057353581375179106151543e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.745
y[1] (analytic) = 5.903356489735741534286481131459
y[1] (numeric) = 5.9033564897357415342864811314598
absolute error = 8e-31
relative error = 1.3551612568052980372387729526791e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.746
y[1] (analytic) = 5.905830491574367583649826161192
y[1] (numeric) = 5.9058304915743675836498261611928
absolute error = 8e-31
relative error = 1.3545935684089320682274499425396e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.747
y[1] (analytic) = 5.908304559808304859036458725367
y[1] (numeric) = 5.9083045598083048590364587253678
absolute error = 8e-31
relative error = 1.3540263402162125965551265978924e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.748
y[1] (analytic) = 5.910778693438135209793953489296
y[1] (numeric) = 5.9107786934381352097939534892968
absolute error = 8e-31
relative error = 1.3534595718972220546507231815991e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.749
y[1] (analytic) = 5.9132528914644750893739260719479
y[1] (numeric) = 5.9132528914644750893739260719487
absolute error = 8e-31
relative error = 1.3528932631221732709584441293015e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.75
y[1] (analytic) = 5.9157271528879765547154963123733
y[1] (numeric) = 5.9157271528879765547154963123741
absolute error = 8e-31
relative error = 1.3523274135614097981742788096916e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.751
y[1] (analytic) = 5.9182014767093282655931480515925
y[1] (numeric) = 5.9182014767093282655931480515933
absolute error = 8e-31
relative error = 1.3517620228854062400649520381119e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.752
y[1] (analytic) = 5.9206758619292564839279860821691
y[1] (numeric) = 5.9206758619292564839279860821699
absolute error = 8e-31
relative error = 1.3511970907647685768728164592642e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.753
y[1] (analytic) = 5.9231503075485260730613909542965
y[1] (numeric) = 5.9231503075485260730613909542973
absolute error = 8e-31
relative error = 1.3506326168702344893101731142235e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.754
y[1] (analytic) = 5.9256248125679414969900723648257
y[1] (numeric) = 5.9256248125679414969900723648264
absolute error = 7e-31
relative error = 1.1813100257635894710031881179298e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.755
y[1] (analytic) = 5.9280993759883478195615218942632
y[1] (numeric) = 5.928099375988347819561521894264
absolute error = 8e-31
relative error = 1.3495050424430882003920682786745e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.756
y[1] (analytic) = 5.9305739968106317036288658963716
y[1] (numeric) = 5.9305739968106317036288658963723
absolute error = 7e-31
relative error = 1.1803241985960361641962251911524e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.757
y[1] (analytic) = 5.9330486740357224101641193856004
y[1] (numeric) = 5.9330486740357224101641193856011
absolute error = 7e-31
relative error = 1.1798318848509506702025496086830e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.758
y[1] (analytic) = 5.9355234066645927973288418091794
y[1] (numeric) = 5.9355234066645927973288418091801
absolute error = 7e-31
relative error = 1.1793399706149215629809134946823e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.759
y[1] (analytic) = 5.9379981936982603195011956333001
y[1] (numeric) = 5.9379981936982603195011956333008
absolute error = 7e-31
relative error = 1.1788484556005416252825179615018e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.76
y[1] (analytic) = 5.9404730341377880262584087164105
y[1] (numeric) = 5.9404730341377880262584087164112
absolute error = 7e-31
relative error = 1.1783573395205208279311512216940e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=629.4MB, alloc=4.5MB, time=32.04
TOP MAIN SOLVE Loop
x[1] = 4.761
y[1] (analytic) = 5.9429479269842855613136414872442
y[1] (numeric) = 5.9429479269842855613136414872449
absolute error = 7e-31
relative error = 1.1778666220876866035534262160894e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.762
y[1] (analytic) = 5.9454228712389101614062599907995
y[1] (numeric) = 5.9454228712389101614062599908002
absolute error = 7e-31
relative error = 1.1773763030149841191019942293122e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.763
y[1] (analytic) = 5.9478978659028676551445159120795
y[1] (numeric) = 5.9478978659028676551445159120802
absolute error = 7e-31
relative error = 1.1768863820154765471747342634025e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.764
y[1] (analytic) = 5.9503729099774134617996347349953
y[1] (numeric) = 5.9503729099774134617996347349961
absolute error = 8e-31
relative error = 1.3444535529169660984376147037218e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.765
y[1] (analytic) = 5.9528480024638535900503132424287
y[1] (numeric) = 5.9528480024638535900503132424295
absolute error = 8e-31
relative error = 1.3438945521015891188814903240164e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.766
y[1] (analytic) = 5.9553231423635456366766276130382
y[1] (numeric) = 5.955323142363545636676627613039
absolute error = 8e-31
relative error = 1.3433360052440351786208614204272e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.767
y[1] (analytic) = 5.957798328677899785202353420986
y[1] (numeric) = 5.9577983286778997852023534209867
absolute error = 7e-31
relative error = 1.1749306730148041273436685786305e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.768
y[1] (analytic) = 5.9602735604083798044846988963465
y[1] (numeric) = 5.9602735604083798044846988963473
absolute error = 8e-31
relative error = 1.3422202720929917095461747046631e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.769
y[1] (analytic) = 5.962748836556504047250452856549
y[1] (numeric) = 5.9627488365565040472504528565498
absolute error = 8e-31
relative error = 1.3416630851451411130794441592314e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.77
y[1] (analytic) = 5.9652241561238464485775487727873
y[1] (numeric) = 5.965224156123846448577548772788
absolute error = 7e-31
relative error = 1.1734680569905930201598476945515e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.771
y[1] (analytic) = 5.9676995181120375243210464899166
y[1] (numeric) = 5.9676995181120375243210464899173
absolute error = 7e-31
relative error = 1.1729813102611682262524199339532e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.772
y[1] (analytic) = 5.9701749215227653694825331739402
y[1] (numeric) = 5.9701749215227653694825331739409
absolute error = 7e-31
relative error = 1.1724949590278613278050371009692e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.773
y[1] (analytic) = 5.9726503653577766565219451177657
y[1] (numeric) = 5.9726503653577766565219451177664
absolute error = 7e-31
relative error = 1.1720090030049302136726159659512e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.774
y[1] (analytic) = 5.9751258486188776336108120934944
y[1] (numeric) = 5.9751258486188776336108120934951
absolute error = 7e-31
relative error = 1.1715234419067536842536399389066e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.775
y[1] (analytic) = 5.9776013703079351228259259980819
y[1] (numeric) = 5.9776013703079351228259259980826
absolute error = 7e-31
relative error = 1.1710382754478317085931930221265e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.776
y[1] (analytic) = 5.9800769294268775182824355987836
y[1] (numeric) = 5.9800769294268775182824355987843
absolute error = 7e-31
relative error = 1.1705535033427856803205049481319e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.777
y[1] (analytic) = 5.9825525249776957842053692453754
y[1] (numeric) = 5.9825525249776957842053692453761
absolute error = 7e-31
relative error = 1.1700691253063586724239362823985e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.778
y[1] (analytic) = 5.9850281559624444529385874777083
y[1] (numeric) = 5.985028155962444452938587477709
absolute error = 7e-31
relative error = 1.1695851410534156908663272053011e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.779
y[1] (analytic) = 5.9875038213832426228901675197281
y[1] (numeric) = 5.9875038213832426228901675197288
absolute error = 7e-31
relative error = 1.1691015502989439270436286237201e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.78
y[1] (analytic) = 5.9899795202422749564132217146596
y[1] (numeric) = 5.9899795202422749564132217146603
absolute error = 7e-31
relative error = 1.1686183527580530090897291997866e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.781
y[1] (analytic) = 5.9924552515417926776211520206183
y[1] (numeric) = 5.9924552515417926776211520206191
absolute error = 8e-31
relative error = 1.3350120550239717166061563684357e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.782
y[1] (analytic) = 5.9949310142841145701363427514807
y[1] (numeric) = 5.9949310142841145701363427514814
absolute error = 7e-31
relative error = 1.1676531361780659067891679862622e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.783
y[1] (analytic) = 5.9974068074716279747712938144005
y[1] (numeric) = 5.9974068074716279747712938144012
absolute error = 7e-31
relative error = 1.1671711165698034080482934841419e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.784
y[1] (analytic) = 5.9998826301067897871411967629237
y[1] (numeric) = 5.9998826301067897871411967629245
absolute error = 8e-31
relative error = 1.3333594160420452811054671527845e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.785
y[1] (analytic) = 6.002358481192127455206956053208
y[1] (numeric) = 6.0023584811921274552069560532087
absolute error = 7e-31
relative error = 1.1662082532947500867622922043281e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.786
y[1] (analytic) = 6.0048343597302399767476579604077
y[1] (numeric) = 6.0048343597302399767476579604084
absolute error = 7e-31
relative error = 1.1657274090595342671490096529967e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.787
y[1] (analytic) = 6.0073102647237988967614896828408
y[1] (numeric) = 6.0073102647237988967614896828415
absolute error = 7e-31
relative error = 1.1652469560471157876520182234293e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.788
y[1] (analytic) = 6.0097861951755493047941112330996
y[1] (numeric) = 6.0097861951755493047941112331003
absolute error = 7e-31
relative error = 1.1647668939735926797834676606557e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=633.2MB, alloc=4.5MB, time=32.23
TOP MAIN SOLVE Loop
x[1] = 4.789
y[1] (analytic) = 6.0122621500883108321934827878174
y[1] (numeric) = 6.0122621500883108321934827878181
absolute error = 7e-31
relative error = 1.1642872225551876220939422406151e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.79
y[1] (analytic) = 6.0147381284649786492901502413476
y[1] (numeric) = 6.0147381284649786492901502413483
absolute error = 7e-31
relative error = 1.1638079415082481800983812646798e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.791
y[1] (analytic) = 6.0172141293085244625019917831509
y[1] (numeric) = 6.0172141293085244625019917831516
absolute error = 7e-31
relative error = 1.1633290505492470450799111201840e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.792
y[1] (analytic) = 6.0196901516219975113624283942289
y[1] (numeric) = 6.0196901516219975113624283942297
absolute error = 8e-31
relative error = 1.3289720564511797391707906696255e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.793
y[1] (analytic) = 6.0221661944085255654711012344762
y[1] (numeric) = 6.022166194408525565471101234477
absolute error = 8e-31
relative error = 1.3284256431560885885015725897437e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.794
y[1] (analytic) = 6.0246422566713159213660189703556
y[1] (numeric) = 6.0246422566713159213660189703564
absolute error = 8e-31
relative error = 1.3278796747045511597780262762195e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.795
y[1] (analytic) = 6.0271183374136563993161781708338
y[1] (numeric) = 6.0271183374136563993161781708346
absolute error = 8e-31
relative error = 1.3273341507731109502026354148279e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.796
y[1] (analytic) = 6.0295944356389163400336599790395
y[1] (numeric) = 6.0295944356389163400336599790403
absolute error = 8e-31
relative error = 1.3267890710384558033272514997214e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.797
y[1] (analytic) = 6.0320705503505476013042063476299
y[1] (numeric) = 6.0320705503505476013042063476306
absolute error = 7e-31
relative error = 1.1604638807802409025524935322051e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.798
y[1] (analytic) = 6.0345466805520855545352792073727
y[1] (numeric) = 6.0345466805520855545352792073735
absolute error = 8e-31
relative error = 1.3257002428669753941267435130709e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.799
y[1] (analytic) = 6.0370228252471500812206060209687
y[1] (numeric) = 6.0370228252471500812206060209694
absolute error = 7e-31
relative error = 1.1595119320612186904916676358746e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.8
y[1] (analytic) = 6.0394989834394465693202152576495
y[1] (numeric) = 6.0394989834394465693202152576502
absolute error = 7e-31
relative error = 1.1590365391556959500776612803877e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.801
y[1] (analytic) = 6.0419751541327669095549654086017
y[1] (numeric) = 6.0419751541327669095549654086024
absolute error = 7e-31
relative error = 1.1585615335097720869685400338017e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.802
y[1] (analytic) = 6.0444513363309904916145712487684
y[1] (numeric) = 6.0444513363309904916145712487691
absolute error = 7e-31
relative error = 1.1580869148413116188787977957751e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.803
y[1] (analytic) = 6.0469275290380852002781311370861
y[1] (numeric) = 6.0469275290380852002781311370868
absolute error = 7e-31
relative error = 1.1576126828683069684476213314403e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.804
y[1] (analytic) = 6.0494037312581084114461592347131
y[1] (numeric) = 6.0494037312581084114461592347139
absolute error = 8e-31
relative error = 1.3224443854958613573866906789503e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.805
y[1] (analytic) = 6.0518799419952079880831266092996
y[1] (numeric) = 6.0518799419952079880831266093004
absolute error = 8e-31
relative error = 1.3219032890071722074346921172064e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.806
y[1] (analytic) = 6.0543561602536232760695152828408
y[1] (numeric) = 6.0543561602536232760695152828417
absolute error = 9e-31
relative error = 1.4865329626764112668291860264843e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.807
y[1] (analytic) = 6.0568323850376860999623893711438
y[1] (numeric) = 6.0568323850376860999623893711446
absolute error = 8e-31
relative error = 1.3208224186230676671266685831131e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.808
y[1] (analytic) = 6.0593086153518217586634875544174
y[1] (numeric) = 6.0593086153518217586634875544183
absolute error = 9e-31
relative error = 1.4853179745949336858465198182113e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.809
y[1] (analytic) = 6.0617848502005500209938412109789
y[1] (numeric) = 6.0617848502005500209938412109797
absolute error = 8e-31
relative error = 1.3197433095526848749115085416362e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.81
y[1] (analytic) = 6.0642610885884861211739226395384
y[1] (numeric) = 6.0642610885884861211739226395392
absolute error = 8e-31
relative error = 1.3192044147067017756597187930049e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.811
y[1] (analytic) = 6.0667373295203417542083278899997
y[1] (numeric) = 6.0667373295203417542083278900005
absolute error = 8e-31
relative error = 1.3186659592253203750931490869418e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.812
y[1] (analytic) = 6.0692135720009260711739988181744
y[1] (numeric) = 6.0692135720009260711739988181752
absolute error = 8e-31
relative error = 1.3181279427875732891919628866487e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.813
y[1] (analytic) = 6.0716898150351466744109890762722
y[1] (numeric) = 6.0716898150351466744109890762731
absolute error = 9e-31
relative error = 1.4822891607067220487589586421612e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.814
y[1] (analytic) = 6.0741660576280106126147788484838
y[1] (numeric) = 6.0741660576280106126147788484846
absolute error = 8e-31
relative error = 1.3170532257598562055321633222526e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.815
y[1] (analytic) = 6.0766422987846253758291432394236
y[1] (numeric) = 6.0766422987846253758291432394244
absolute error = 8e-31
relative error = 1.3165165245286958516899680349104e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.816
y[1] (analytic) = 6.0791185375101998903385793226488
y[1] (numeric) = 6.0791185375101998903385793226496
absolute error = 8e-31
relative error = 1.3159802610587895853559781580896e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=637.0MB, alloc=4.5MB, time=32.41
TOP MAIN SOLVE Loop
x[1] = 4.817
y[1] (analytic) = 6.0815947728100455134592969569087
y[1] (numeric) = 6.0815947728100455134592969569095
absolute error = 8e-31
relative error = 1.3154444350299158895026452424985e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.818
y[1] (analytic) = 6.0840710036895770282277785792174
y[1] (numeric) = 6.0840710036895770282277785792182
absolute error = 8e-31
relative error = 1.3149090461220031438192218008131e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.819
y[1] (analytic) = 6.0865472291543136379859132862726
y[1] (numeric) = 6.0865472291543136379859132862734
absolute error = 8e-31
relative error = 1.3143740940151298630263346134280e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.82
y[1] (analytic) = 6.0890234482098799608617106191698
y[1] (numeric) = 6.0890234482098799608617106191706
absolute error = 8e-31
relative error = 1.3138395783895249340003921308350e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.821
y[1] (analytic) = 6.09149965986200702414459957078
y[1] (numeric) = 6.0914996598620070241445995707808
absolute error = 8e-31
relative error = 1.3133054989255678517109201478474e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.822
y[1] (analytic) = 6.0939758631165332585543184405762
y[1] (numeric) = 6.093975863116533258554318440577
absolute error = 8e-31
relative error = 1.3127718553037889539739142294310e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.823
y[1] (analytic) = 6.0964520569794054924024012681001
y[1] (numeric) = 6.0964520569794054924024012681009
absolute error = 8e-31
relative error = 1.3122386472048696550242916754990e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.824
y[1] (analytic) = 6.0989282404566799456452666836665
y[1] (numeric) = 6.0989282404566799456452666836673
absolute error = 8e-31
relative error = 1.3117058743096426779105201226995e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.825
y[1] (analytic) = 6.1014044125545232238279151232993
y[1] (numeric) = 6.1014044125545232238279151233001
absolute error = 8e-31
relative error = 1.3111735362990922857144941950095e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.826
y[1] (analytic) = 6.1038805722792133119172404642841
y[1] (numeric) = 6.1038805722792133119172404642849
absolute error = 8e-31
relative error = 1.3106416328543545115997259318951e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.827
y[1] (analytic) = 6.1063567186371405680239622481092
y[1] (numeric) = 6.1063567186371405680239622481101
absolute error = 9e-31
relative error = 1.4738739341138070611522726732919e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.828
y[1] (analytic) = 6.1088328506348087170121847689456
y[1] (numeric) = 6.1088328506348087170121847689465
absolute error = 9e-31
relative error = 1.4732765194360738193864002812281e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.829
y[1] (analytic) = 6.1113089672788358439955894181887
y[1] (numeric) = 6.1113089672788358439955894181896
absolute error = 9e-31
relative error = 1.4726795925697409012818997178931e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.83
y[1] (analytic) = 6.1137850675759553877192667889538
y[1] (numeric) = 6.1137850675759553877192667889547
absolute error = 9e-31
relative error = 1.4720831531567718713145580494680e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.831
y[1] (analytic) = 6.1162611505330171338261951587748
y[1] (numeric) = 6.1162611505330171338261951587757
absolute error = 9e-31
relative error = 1.4714872008393023096711140739382e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.832
y[1] (analytic) = 6.1187372151569882080073720841106
y[1] (numeric) = 6.1187372151569882080073720841115
absolute error = 9e-31
relative error = 1.4708917352596400632166608178418e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.833
y[1] (analytic) = 6.121213260454954069034605956611
y[1] (numeric) = 6.1212132604549540690346059566119
absolute error = 9e-31
relative error = 1.4702967560602654951678649369598e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.834
y[1] (analytic) = 6.1236892854341195016749744884326
y[1] (numeric) = 6.1236892854341195016749744884335
absolute error = 9e-31
relative error = 1.4697022628838317334754009508596e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.835
y[1] (analytic) = 6.1261652891018096094859572122291
y[1] (numeric) = 6.12616528910180960948595721223
absolute error = 9e-31
relative error = 1.4691082553731649179189918815085e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.836
y[1] (analytic) = 6.1286412704654708074902492007666
y[1] (numeric) = 6.1286412704654708074902492007675
absolute error = 9e-31
relative error = 1.4685147331712644459184415104291e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.837
y[1] (analytic) = 6.1311172285326718147292633314326
y[1] (numeric) = 6.1311172285326718147292633314335
absolute error = 9e-31
relative error = 1.4679216959213032170640371170983e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.838
y[1] (analytic) = 6.1335931623111046466943285422189
y[1] (numeric) = 6.1335931623111046466943285422198
absolute error = 9e-31
relative error = 1.4673291432666278763696952135588e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.839
y[1] (analytic) = 6.1360690708085856076345916480637
y[1] (numeric) = 6.1360690708085856076345916480646
absolute error = 9e-31
relative error = 1.4667370748507590562522164465277e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.84
y[1] (analytic) = 6.1385449530330562827406304097327
y[1] (numeric) = 6.1385449530330562827406304097335
absolute error = 8e-31
relative error = 1.3032404358376814375466751099639e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.841
y[1] (analytic) = 6.1410208079925845302027856717093
y[1] (numeric) = 6.1410208079925845302027856717101
absolute error = 8e-31
relative error = 1.3027150127203510110352333205140e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.842
y[1] (analytic) = 6.1434966346953654731432205108453
y[1] (numeric) = 6.1434966346953654731432205108461
absolute error = 8e-31
relative error = 1.3021900190878336894120302334433e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.843
y[1] (analytic) = 6.1459724321497224914207144637936
y[1] (numeric) = 6.1459724321497224914207144637944
absolute error = 8e-31
relative error = 1.3016654546238796739753153164400e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.844
y[1] (analytic) = 6.1484481993641082133072010285133
y[1] (numeric) = 6.1484481993641082133072010285141
absolute error = 8e-31
relative error = 1.3011413190123948800750434725951e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=640.8MB, alloc=4.5MB, time=32.60
TOP MAIN SOLVE Loop
x[1] = 4.845
y[1] (analytic) = 6.1509239353471055070350567633913
y[1] (numeric) = 6.1509239353471055070350567633921
absolute error = 8e-31
relative error = 1.3006176119374411454739815108823e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.846
y[1] (analytic) = 6.1533996391074284722141504367743
y[1] (numeric) = 6.1533996391074284722141504367751
absolute error = 8e-31
relative error = 1.3000943330832364375972546988698e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.847
y[1] (analytic) = 6.1558753096539234311176608099443
y[1] (numeric) = 6.155875309653923431117660809945
absolute error = 7e-31
relative error = 1.1371250468673856772141205015973e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.848
y[1] (analytic) = 6.1583509459955699198356717678025
y[1] (numeric) = 6.1583509459955699198356717678032
absolute error = 7e-31
relative error = 1.1366679264278868737979026315834e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.849
y[1] (analytic) = 6.16082654714148167929555364375
y[1] (numeric) = 6.1608265471414816792955536437508
absolute error = 8e-31
relative error = 1.2985270626896424147225625065743e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.85
y[1] (analytic) = 6.1633021121009076461481397184653
y[1] (numeric) = 6.163302112100907646148139718466
absolute error = 7e-31
relative error = 1.1357548068682753638537664634958e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.851
y[1] (analytic) = 6.1657776398832329435187070064845
y[1] (numeric) = 6.1657776398832329435187070064852
absolute error = 7e-31
relative error = 1.1352988071967781017712942942067e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.852
y[1] (analytic) = 6.1682531294979798716217705796881
y[1] (numeric) = 6.1682531294979798716217705796888
absolute error = 7e-31
relative error = 1.1348431805634594829274826015565e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.853
y[1] (analytic) = 6.1707285799548088982387008129798
y[1] (numeric) = 6.1707285799548088982387008129805
absolute error = 7e-31
relative error = 1.1343879266929715194558065100123e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.854
y[1] (analytic) = 6.1732039902635196490571730746249
y[1] (numeric) = 6.1732039902635196490571730746256
absolute error = 7e-31
relative error = 1.1339330453101042529854176732755e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.855
y[1] (analytic) = 6.1756793594340518978714595218794
y[1] (numeric) = 6.1756793594340518978714595218802
absolute error = 8e-31
relative error = 1.2954040413026124883959090454265e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.856
y[1] (analytic) = 6.1781546864764865566425728017023
y[1] (numeric) = 6.1781546864764865566425728017031
absolute error = 8e-31
relative error = 1.2948850273223807546606862333589e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.857
y[1] (analytic) = 6.180629970401046665417271596488
y[1] (numeric) = 6.1806299704010466654172715964887
absolute error = 7e-31
relative error = 1.1325706333372011144926361149380e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.858
y[1] (analytic) = 6.1831052102180983821049380958968
y[1] (numeric) = 6.1831052102180983821049380958975
absolute error = 7e-31
relative error = 1.1321172391554836670468170374835e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.859
y[1] (analytic) = 6.1855804049381519721113376179893
y[1] (numeric) = 6.18558040493815197211133761799
absolute error = 7e-31
relative error = 1.1316642160874135787742905602542e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.86
y[1] (analytic) = 6.1880555535718627978282707459854
y[1] (numeric) = 6.1880555535718627978282707459861
absolute error = 7e-31
relative error = 1.1312115638586126620308510673590e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.861
y[1] (analytic) = 6.1905306551300323079781284910802
y[1] (numeric) = 6.1905306551300323079781284910809
absolute error = 7e-31
relative error = 1.1307592821948419478052827455966e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.862
y[1] (analytic) = 6.193005708623609026812361136843
y[1] (numeric) = 6.1930057086236090268123611368437
absolute error = 7e-31
relative error = 1.1303073708220018518482613394445e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.863
y[1] (analytic) = 6.1954807130636895431628715668137
y[1] (numeric) = 6.1954807130636895431628715668144
absolute error = 7e-31
relative error = 1.1298558294661323398718156429321e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.864
y[1] (analytic) = 6.1979556674615194993453440239848
y[1] (numeric) = 6.1979556674615194993453440239855
absolute error = 7e-31
relative error = 1.1294046578534130918218446213310e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.865
y[1] (analytic) = 6.2004305708284945799135193989235
y[1] (numeric) = 6.2004305708284945799135193989243
absolute error = 8e-31
relative error = 1.2902329779544727602584928154160e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.866
y[1] (analytic) = 6.2029054221761615002634282923409
y[1] (numeric) = 6.2029054221761615002634282923417
absolute error = 8e-31
relative error = 1.2897181974432498944236446027453e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.867
y[1] (analytic) = 6.2053802205162189950865932479566
y[1] (numeric) = 6.2053802205162189950865932479574
absolute error = 8e-31
relative error = 1.2892038385577747063495694940661e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.868
y[1] (analytic) = 6.2078549648605188066712117025404
y[1] (numeric) = 6.2078549648605188066712117025412
absolute error = 8e-31
relative error = 1.2886899009857502373559802516432e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.869
y[1] (analytic) = 6.2103296542210666730503313520294
y[1] (numeric) = 6.2103296542210666730503313520302
absolute error = 8e-31
relative error = 1.2881763844150401250817984950251e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.87
y[1] (analytic) = 6.212804287610023315996029785628
y[1] (numeric) = 6.2128042876100233159960297856289
absolute error = 9e-31
relative error = 1.4486211996003773830446481680149e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.871
y[1] (analytic) = 6.2152788640397054288586103937932
y[1] (numeric) = 6.2152788640397054288586103937941
absolute error = 9e-31
relative error = 1.4480444396585492892724098887746e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.872
y[1] (analytic) = 6.2177533825225866642498267109915
y[1] (numeric) = 6.2177533825225866642498267109924
absolute error = 9e-31
relative error = 1.4474681522908256843896928364917e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=644.7MB, alloc=4.5MB, time=32.79
TOP MAIN SOLVE Loop
x[1] = 4.873
y[1] (analytic) = 6.2202278420712986215691475100859
y[1] (numeric) = 6.2202278420712986215691475100868
absolute error = 9e-31
relative error = 1.4468923371467778737360393449009e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.874
y[1] (analytic) = 6.2227022416986318343720751221702
y[1] (numeric) = 6.222702241698631834372075122171
absolute error = 8e-31
relative error = 1.2856151056676967488586166191724e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.875
y[1] (analytic) = 6.2251765804175367575795296136132
y[1] (numeric) = 6.225176580417536757579529613614
absolute error = 8e-31
relative error = 1.2851041085590252923171109065759e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.876
y[1] (analytic) = 6.2276508572411247545273116110133
y[1] (numeric) = 6.2276508572411247545273116110141
absolute error = 8e-31
relative error = 1.2845935302712254635224773203571e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.877
y[1] (analytic) = 6.2301250711826690838546567246804
y[1] (numeric) = 6.2301250711826690838546567246812
absolute error = 8e-31
relative error = 1.2840833704934521156612204642665e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.878
y[1] (analytic) = 6.2325992212556058862308946821748
y[1] (numeric) = 6.2325992212556058862308946821756
absolute error = 8e-31
relative error = 1.2835736289150222940411605494961e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.879
y[1] (analytic) = 6.2350733064735351709192264453253
y[1] (numeric) = 6.2350733064735351709192264453261
absolute error = 8e-31
relative error = 1.2830643052254154082795196547612e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.88
y[1] (analytic) = 6.2375473258502218021766327470316
y[1] (numeric) = 6.2375473258502218021766327470324
absolute error = 8e-31
relative error = 1.2825553991142734034765326577478e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.881
y[1] (analytic) = 6.2400212783995964854889276480252
y[1] (numeric) = 6.240021278399596485488927648026
absolute error = 8e-31
relative error = 1.2820469102714009303773418337530e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.882
y[1] (analytic) = 6.2424951631357567536399708786165
y[1] (numeric) = 6.2424951631357567536399708786174
absolute error = 9e-31
relative error = 1.4417311931851112038405447454235e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.883
y[1] (analytic) = 6.2449689790729679526140528962995
y[1] (numeric) = 6.2449689790729679526140528963003
absolute error = 8e-31
relative error = 1.2810311831504977244068309350374e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.884
y[1] (analytic) = 6.2474427252256642273304667569088
y[1] (numeric) = 6.2474427252256642273304667569096
absolute error = 8e-31
relative error = 1.2805239442528913385983878049172e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.885
y[1] (analytic) = 6.2499164006084495072092810648421
y[1] (numeric) = 6.2499164006084495072092810648428
absolute error = 7e-31
relative error = 1.1200149812113530729170937441777e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.886
y[1] (analytic) = 6.2523900042360984915673284366544
y[1] (numeric) = 6.2523900042360984915673284366552
absolute error = 8e-31
relative error = 1.2795107142356549405078869160318e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.887
y[1] (analytic) = 6.2548635351235576348434240821206
y[1] (numeric) = 6.2548635351235576348434240821214
absolute error = 8e-31
relative error = 1.2790047224974300261108170748913e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.888
y[1] (analytic) = 6.2573369922859461316518292776266
y[1] (numeric) = 6.2573369922859461316518292776274
absolute error = 8e-31
relative error = 1.2784991458606770390992826299320e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.889
y[1] (analytic) = 6.2598103747385569016629746785111
y[1] (numeric) = 6.2598103747385569016629746785119
absolute error = 8e-31
relative error = 1.2779939840165082807060836473620e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.89
y[1] (analytic) = 6.2622836814968575743104585897138
y[1] (numeric) = 6.2622836814968575743104585897146
absolute error = 8e-31
relative error = 1.2774892366562002441912821048750e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.891
y[1] (analytic) = 6.264756911576491473323335487816
y[1] (numeric) = 6.2647569115764914733233354878168
absolute error = 8e-31
relative error = 1.2769849034711937750374803251265e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.892
y[1] (analytic) = 6.2672300639932786010827102622654
y[1] (numeric) = 6.2672300639932786010827102622662
absolute error = 8e-31
relative error = 1.2764809841530942301633731035838e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.893
y[1] (analytic) = 6.2697031377632166228016538192747
y[1] (numeric) = 6.2697031377632166228016538192754
absolute error = 7e-31
relative error = 1.1164802935944626816384839725642e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.894
y[1] (analytic) = 6.2721761319024818505274558685582
y[1] (numeric) = 6.272176131902481850527455868559
absolute error = 8e-31
relative error = 1.2754743858848608465402580459186e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.895
y[1] (analytic) = 6.2746490454274302269652308907383
y[1] (numeric) = 6.274649045427430226965230890739
absolute error = 7e-31
relative error = 1.1156002430289164857856497830085e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.896
y[1] (analytic) = 6.2771218773545983091218934618947
y[1] (numeric) = 6.2771218773545983091218934618954
absolute error = 7e-31
relative error = 1.1151607594641842701782088890593e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.897
y[1] (analytic) = 6.2795946267007042517695192913665
y[1] (numeric) = 6.2795946267007042517695192913672
absolute error = 7e-31
relative error = 1.1147216366859330785144043048058e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.898
y[1] (analytic) = 6.2820672924826487907271085095249
y[1] (numeric) = 6.2820672924826487907271085095256
absolute error = 7e-31
relative error = 1.1142828744251841608784152386014e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.899
y[1] (analytic) = 6.2845398737175162259597679238374
y[1] (numeric) = 6.2845398737175162259597679238381
absolute error = 7e-31
relative error = 1.1138444724131036661891191123224e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.9
y[1] (analytic) = 6.2870123694225754044943291441219
y[1] (numeric) = 6.2870123694225754044943291441226
absolute error = 7e-31
relative error = 1.1134064303810027747243263982126e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=648.5MB, alloc=4.5MB, time=32.97
TOP MAIN SOLVE Loop
x[1] = 4.901
y[1] (analytic) = 6.2894847786152807031504196614552
y[1] (numeric) = 6.2894847786152807031504196614559
absolute error = 7e-31
relative error = 1.1129687480603378298070495896771e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.902
y[1] (analytic) = 6.2919571003132730110860041497461
y[1] (numeric) = 6.2919571003132730110860041497468
absolute error = 7e-31
relative error = 1.1125314251827104686561211212095e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.903
y[1] (analytic) = 6.2944293335343807121564134445145
y[1] (numeric) = 6.2944293335343807121564134445152
absolute error = 7e-31
relative error = 1.1120944614798677524034703737390e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.904
y[1] (analytic) = 6.2969014772966206670858788399283
y[1] (numeric) = 6.2969014772966206670858788399291
absolute error = 8e-31
relative error = 1.2704661219242311946061316885480e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.905
y[1] (analytic) = 6.299373530618199195450589532647
y[1] (numeric) = 6.2993735306181991954505895326478
absolute error = 8e-31
relative error = 1.2699675548871455919713359484117e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.906
y[1] (analytic) = 6.3018454925175130574722912294946
y[1] (numeric) = 6.3018454925175130574722912294955
absolute error = 9e-31
relative error = 1.4281530720939027644954896045807e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.907
y[1] (analytic) = 6.3043173620131504356214441254473
y[1] (numeric) = 6.3043173620131504356214441254482
absolute error = 9e-31
relative error = 1.4275931053582049235633593767011e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.908
y[1] (analytic) = 6.3067891381238919160289586488572
y[1] (numeric) = 6.3067891381238919160289586488581
absolute error = 9e-31
relative error = 1.4270335986969859706794799042757e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.909
y[1] (analytic) = 6.3092608198687114697055275622608
y[1] (numeric) = 6.3092608198687114697055275622617
absolute error = 9e-31
relative error = 1.4264745517664745626103133246660e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.91
y[1] (analytic) = 6.3117324062667774335675731995194
y[1] (numeric) = 6.3117324062667774335675731995203
absolute error = 9e-31
relative error = 1.4259159642230874701283293281817e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.911
y[1] (analytic) = 6.3142038963374534912688288134277
y[1] (numeric) = 6.3142038963374534912688288134286
absolute error = 9e-31
relative error = 1.4253578357234297367117754648394e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.912
y[1] (analytic) = 6.3166752891002996538365732022902
y[1] (numeric) = 6.3166752891002996538365732022912
absolute error = 1.0e-30
relative error = 1.5831112954714387068883011156241e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.913
y[1] (analytic) = 6.3191465835750732401115379793131
y[1] (numeric) = 6.3191465835750732401115379793141
absolute error = 1.0e-30
relative error = 1.5824921716474053660039274451302e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.914
y[1] (analytic) = 6.3216177787817298569905070449846
y[1] (numeric) = 6.3216177787817298569905070449856
absolute error = 1.0e-30
relative error = 1.5818735567285672440921676354750e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.915
y[1] (analytic) = 6.3240888737404243794706280199282
y[1] (numeric) = 6.3240888737404243794706280199292
absolute error = 1.0e-30
relative error = 1.5812554503342128972009691666369e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.916
y[1] (analytic) = 6.3265598674715119304944555939973
y[1] (numeric) = 6.3265598674715119304944555939983
absolute error = 1.0e-30
relative error = 1.5806378520838409375872801504715e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.917
y[1] (analytic) = 6.3290307589955488605947469466498
y[1] (numeric) = 6.3290307589955488605947469466508
absolute error = 1.0e-30
relative error = 1.5800207615971602031319916137041e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.918
y[1] (analytic) = 6.33150154733329372733802959389
y[1] (numeric) = 6.3315015473332937273380295938909
absolute error = 9e-31
relative error = 1.4214637606446809330517883787792e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.919
y[1] (analytic) = 6.3339722315057082745659622182898
y[1] (numeric) = 6.3339722315057082745659622182907
absolute error = 9e-31
relative error = 1.4209092921552839080562443122432e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.92
y[1] (analytic) = 6.3364428105339584114335092408118
y[1] (numeric) = 6.3364428105339584114335092408127
absolute error = 9e-31
relative error = 1.4203552796275595756886300182994e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.921
y[1] (analytic) = 6.3389132834394151912429500963398
y[1] (numeric) = 6.3389132834394151912429500963407
absolute error = 9e-31
relative error = 1.4198017227200042065134399073552e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.922
y[1] (analytic) = 6.3413836492436557900727443789899
y[1] (numeric) = 6.3413836492436557900727443789908
absolute error = 9e-31
relative error = 1.4192486210913040211673124867924e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.923
y[1] (analytic) = 6.3438539069684644852002742284184
y[1] (numeric) = 6.3438539069684644852002742284193
absolute error = 9e-31
relative error = 1.4186959744003353367098611448813e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.924
y[1] (analytic) = 6.3463240556358336333174855344652
y[1] (numeric) = 6.3463240556358336333174855344661
absolute error = 9e-31
relative error = 1.4181437823061647119640615383328e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.925
y[1] (analytic) = 6.348794094267964648538449744574
y[1] (numeric) = 6.3487940942679646485384497445749
absolute error = 9e-31
relative error = 1.4175920444680490918490349773190e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.926
y[1] (analytic) = 6.3512640218872689801978682665079
y[1] (numeric) = 6.3512640218872689801978682665088
absolute error = 9e-31
relative error = 1.4170407605454359507080613302534e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.927
y[1] (analytic) = 6.3537338375163690904395416679384
y[1] (numeric) = 6.3537338375163690904395416679392
absolute error = 8e-31
relative error = 1.2591021601759674974530214271993e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.928
y[1] (analytic) = 6.3562035401780994315938260845188
y[1] (numeric) = 6.3562035401780994315938260845196
absolute error = 8e-31
relative error = 1.2586129360759648913773195639854e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=652.3MB, alloc=4.5MB, time=33.16
TOP MAIN SOLVE Loop
x[1] = 4.929
y[1] (analytic) = 6.3586731288955074233430994590692
y[1] (numeric) = 6.35867312889550742334309945907
absolute error = 8e-31
relative error = 1.2581241145492862824720670452979e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.93
y[1] (analytic) = 6.3611426026918544296742604464858
y[1] (numeric) = 6.3611426026918544296742604464866
absolute error = 8e-31
relative error = 1.2576356952938970088025781523526e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.931
y[1] (analytic) = 6.3636119605906167356172830319588
y[1] (numeric) = 6.3636119605906167356172830319596
absolute error = 8e-31
relative error = 1.2571476780079323916265484761670e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.932
y[1] (analytic) = 6.3660812016154865237688501240247
y[1] (numeric) = 6.3660812016154865237688501240255
absolute error = 8e-31
relative error = 1.2566600623896978574905580362935e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.933
y[1] (analytic) = 6.3685503247903728506000895989016
y[1] (numeric) = 6.3685503247903728506000895989024
absolute error = 8e-31
relative error = 1.2561728481376690594509302416458e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.934
y[1] (analytic) = 6.3710193291394026225474364884517
y[1] (numeric) = 6.3710193291394026225474364884526
absolute error = 9e-31
relative error = 1.4126467893193034970991018161959e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.935
y[1] (analytic) = 6.3734882136869215718856452209917
y[1] (numeric) = 6.3734882136869215718856452209926
absolute error = 9e-31
relative error = 1.4120995753428560298565085354269e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.936
y[1] (analytic) = 6.3759569774574952323819760420181
y[1] (numeric) = 6.375956977457495232381976042019
absolute error = 9e-31
relative error = 1.4115528118868957227448325875645e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.937
y[1] (analytic) = 6.3784256194759099147305799607448
y[1] (numeric) = 6.3784256194759099147305799607457
absolute error = 9e-31
relative error = 1.4110064986129750488763683195092e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.938
y[1] (analytic) = 6.380894138767173681766106788147
y[1] (numeric) = 6.3808941387671736817661067881478
absolute error = 8e-31
relative error = 1.2537427868291899141111485394405e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.939
y[1] (analytic) = 6.3833625343565173234555610529859
y[1] (numeric) = 6.3833625343565173234555610529867
absolute error = 8e-31
relative error = 1.2532579744519319856867554960933e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.94
y[1] (analytic) = 6.3858308052693953316674308040397
y[1] (numeric) = 6.3858308052693953316674308040406
absolute error = 9e-31
relative error = 1.4093702565018589201890809712102e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.941
y[1] (analytic) = 6.3882989505314868747171145294925
y[1] (numeric) = 6.3882989505314868747171145294934
absolute error = 9e-31
relative error = 1.4088257405754669026753234093274e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.942
y[1] (analytic) = 6.3907669691686967716876716481357
y[1] (numeric) = 6.3907669691686967716876716481366
absolute error = 9e-31
relative error = 1.4082816731417620600952429964909e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.943
y[1] (analytic) = 6.3932348602071564665249222517129
y[1] (numeric) = 6.3932348602071564665249222517138
absolute error = 9e-31
relative error = 1.4077380538634518361756190264533e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.944
y[1] (analytic) = 6.3957026226732250019059220033897
y[1] (numeric) = 6.3957026226732250019059220033906
absolute error = 9e-31
relative error = 1.4071948824034366153511167260147e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.945
y[1] (analytic) = 6.3981702555934899928798383239541
y[1] (numeric) = 6.3981702555934899928798383239551
absolute error = 1.0e-30
relative error = 1.5629468426942331639247436329108e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.946
y[1] (analytic) = 6.4006377579947686002802542249534
y[1] (numeric) = 6.4006377579947686002802542249543
absolute error = 9e-31
relative error = 1.4061098815908581719241369041675e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.947
y[1] (analytic) = 6.4031051289041085039079263765432
y[1] (numeric) = 6.4031051289041085039079263765442
absolute error = 1.0e-30
relative error = 1.5617422795167350443315054855813e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.948
y[1] (analytic) = 6.4055723673487888754830242273744
y[1] (numeric) = 6.4055723673487888754830242273754
absolute error = 1.0e-30
relative error = 1.5611407422345481521347517957162e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.949
y[1] (analytic) = 6.4080394723563213513658772243566
y[1] (numeric) = 6.4080394723563213513658772243576
absolute error = 1.0e-30
relative error = 1.5605397006586894483787902378403e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.95
y[1] (analytic) = 6.4105064429544510050452574116347
y[1] (numeric) = 6.4105064429544510050452574116358
absolute error = 1.1e-30
relative error = 1.7159330698574822455320967876039e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.951
y[1] (analytic) = 6.4129732781711573193932249205761
y[1] (numeric) = 6.4129732781711573193932249205771
absolute error = 1.0e-30
relative error = 1.5593391031331080028059804647640e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.952
y[1] (analytic) = 6.4154399770346551586855640960026
y[1] (numeric) = 6.4154399770346551586855640960036
absolute error = 1.0e-30
relative error = 1.5587395464374994079488282386958e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.953
y[1] (analytic) = 6.4179065385733957403868382383149
y[1] (numeric) = 6.4179065385733957403868382383159
absolute error = 1.0e-30
relative error = 1.5581404839564475570390561373737e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.954
y[1] (analytic) = 6.4203729618160676066990911765331
y[1] (numeric) = 6.4203729618160676066990911765341
absolute error = 1.0e-30
relative error = 1.5575419153175485589727704928591e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.955
y[1] (analytic) = 6.4228392457915975958732241236342
y[1] (numeric) = 6.4228392457915975958732241236352
absolute error = 1.0e-30
relative error = 1.5569438401486143686332805769680e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.956
y[1] (analytic) = 6.42530538952915181328207650289
y[1] (numeric) = 6.425305389529151813282076502891
absolute error = 1.0e-30
relative error = 1.5563462580776729140840257690866e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=656.1MB, alloc=4.5MB, time=33.34
TOP MAIN SOLVE Loop
x[1] = 4.957
y[1] (analytic) = 6.4277713920581366022542396722059
y[1] (numeric) = 6.4277713920581366022542396722069
absolute error = 1.0e-30
relative error = 1.5557491687329682227394946256767e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.958
y[1] (analytic) = 6.4302372524081995146676327127274
y[1] (numeric) = 6.4302372524081995146676327127285
absolute error = 1.1e-30
relative error = 1.7106678289172566011687873108658e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.959
y[1] (analytic) = 6.4327029696092302813018696882201
y[1] (numeric) = 6.4327029696092302813018696882212
absolute error = 1.1e-30
relative error = 1.7100121134099591345700833811840e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.96
y[1] (analytic) = 6.4351685426913617819484480229353
y[1] (numeric) = 6.4351685426913617819484480229364
absolute error = 1.1e-30
relative error = 1.7093569386761550247662354809646e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.961
y[1] (analytic) = 6.4376339706849710152777878878557
y[1] (numeric) = 6.4376339706849710152777878878567
absolute error = 1.0e-30
relative error = 1.5533657311889680950608270108885e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.962
y[1] (analytic) = 6.4400992526206800684621527283608
y[1] (numeric) = 6.4400992526206800684621527283618
absolute error = 1.0e-30
relative error = 1.5527710999066798120526652063870e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.963
y[1] (analytic) = 6.4425643875293570865534813104739
y[1] (numeric) = 6.4425643875293570865534813104749
absolute error = 1.0e-30
relative error = 1.5521769591246374806470893955560e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.964
y[1] (analytic) = 6.4450293744421172416151619079376
y[1] (numeric) = 6.4450293744421172416151619079386
absolute error = 1.0e-30
relative error = 1.5515833084726012712695460639012e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.965
y[1] (analytic) = 6.4474942123903237016067794984262
y[1] (numeric) = 6.4474942123903237016067794984272
absolute error = 1.0e-30
relative error = 1.5509901475805484266234987848792e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.966
y[1] (analytic) = 6.4499589004055885990208670842274
y[1] (numeric) = 6.4499589004055885990208670842283
absolute error = 9e-31
relative error = 1.3953577284708060409154834022612e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.967
y[1] (analytic) = 6.4524234375197739992706925007226
y[1] (numeric) = 6.4524234375197739992706925007236
absolute error = 1.0e-30
relative error = 1.5498052935973878653642978426105e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.968
y[1] (analytic) = 6.4548878227649928688281123249614
y[1] (numeric) = 6.4548878227649928688281123249624
absolute error = 1.0e-30
relative error = 1.5492135997673210445277464134844e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.969
y[1] (analytic) = 6.457352055173610043110524746554
y[1] (numeric) = 6.457352055173610043110524746555
absolute error = 1.0e-30
relative error = 1.5486223942193196092322489723044e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.97
y[1] (analytic) = 6.4598161337782431941159535140125
y[1] (numeric) = 6.4598161337782431941159535140135
absolute error = 1.0e-30
relative error = 1.5480316765844479003257482564978e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.971
y[1] (analytic) = 6.4622800576117637978052953215359
y[1] (numeric) = 6.4622800576117637978052953215369
absolute error = 1.0e-30
relative error = 1.5474414464939880187262392108333e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.972
y[1] (analytic) = 6.464743825707298101230763254072
y[1] (numeric) = 6.464743825707298101230763254073
absolute error = 1.0e-30
relative error = 1.5468517035794399366122896134258e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.973
y[1] (analytic) = 6.4672074370982280894095591622945
y[1] (numeric) = 6.4672074370982280894095591622956
absolute error = 1.1e-30
relative error = 1.7008886922197737684016904229658e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.974
y[1] (analytic) = 6.4696708908181924519418080939029
y[1] (numeric) = 6.469670890818192451941808093904
absolute error = 1.1e-30
relative error = 1.7002410455856859837920046155681e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.975
y[1] (analytic) = 6.4721341859010875493717881633902
y[1] (numeric) = 6.4721341859010875493717881633914
absolute error = 1.2e-30
relative error = 1.8541024730514439026999101857484e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.976
y[1] (analytic) = 6.4745973213810683792914894991317
y[1] (numeric) = 6.4745973213810683792914894991329
absolute error = 1.2e-30
relative error = 1.8533971155815960226234121602314e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.977
y[1] (analytic) = 6.4770602962925495421855361643133
y[1] (numeric) = 6.4770602962925495421855361643145
absolute error = 1.2e-30
relative error = 1.8526923405157684059286179723030e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.978
y[1] (analytic) = 6.4795231096702062070165052068604
y[1] (numeric) = 6.4795231096702062070165052068617
absolute error = 1.3e-30
relative error = 2.0063204930311101313962664672814e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.979
y[1] (analytic) = 6.4819857605489750765496772531281
y[1] (numeric) = 6.4819857605489750765496772531293
absolute error = 1.2e-30
relative error = 1.8512845358339218150681866122735e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.98
y[1] (analytic) = 6.4844482479640553524162533206808
y[1] (numeric) = 6.484448247964055352416253320682
absolute error = 1.2e-30
relative error = 1.8505815053374327585557057937897e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.981
y[1] (analytic) = 6.4869105709509096999140727870283
y[1] (numeric) = 6.4869105709509096999140727870295
absolute error = 1.2e-30
relative error = 1.8498790554840240479024143983827e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.982
y[1] (analytic) = 6.4893727285452652125448677136775
y[1] (numeric) = 6.4893727285452652125448677136787
absolute error = 1.2e-30
relative error = 1.8491771858341171875330505363872e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.983
y[1] (analytic) = 6.4918347197831143762870889883272
y[1] (numeric) = 6.4918347197831143762870889883284
absolute error = 1.2e-30
relative error = 1.8484758959483965185748059180126e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.984
y[1] (analytic) = 6.494296543700716033603340012461
y[1] (numeric) = 6.4942965437007160336033400124622
absolute error = 1.2e-30
relative error = 1.8477751853878093384600743770528e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=659.9MB, alloc=4.5MB, time=33.53
TOP MAIN SOLVE Loop
x[1] = 4.985
y[1] (analytic) = 6.4967581993345963471814539269828
y[1] (numeric) = 6.496758199334596347181453926984
absolute error = 1.2e-30
relative error = 1.8470750537135660193988778931370e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.986
y[1] (analytic) = 6.4992196857215497634082506349003
y[1] (numeric) = 6.4992196857215497634082506349016
absolute error = 1.3e-30
relative error = 2.0002401255277351362013197067899e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.987
y[1] (analytic) = 6.5016810018986399755750101473784
y[1] (numeric) = 6.5016810018986399755750101473796
absolute error = 1.2e-30
relative error = 1.8456765252702685301142101187266e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.988
y[1] (analytic) = 6.5041421469032008868136990477691
y[1] (numeric) = 6.5041421469032008868136990477703
absolute error = 1.2e-30
relative error = 1.8449781276249515286926919136823e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.989
y[1] (analytic) = 6.5066031197728375727629871374734
y[1] (numeric) = 6.5066031197728375727629871374746
absolute error = 1.2e-30
relative error = 1.8442803071134529550143079101007e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.99
y[1] (analytic) = 6.509063919545427243963091597697
y[1] (numeric) = 6.5090639195454272439630915976981
absolute error = 1.1e-30
relative error = 1.6899511413567752685234451207668e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.991
y[1] (analytic) = 6.5115245452591202079784862723363
y[1] (numeric) = 6.5115245452591202079784862723375
absolute error = 1.2e-30
relative error = 1.8428863957422847883704838599016e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.992
y[1] (analytic) = 6.5139849959523408312475139493669
y[1] (numeric) = 6.5139849959523408312475139493681
absolute error = 1.2e-30
relative error = 1.8421903040084615599524375768589e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.993
y[1] (analytic) = 6.5164452706637885006579397911999
y[1] (numeric) = 6.5164452706637885006579397912011
absolute error = 1.2e-30
relative error = 1.8414947876601497085741131405346e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.994
y[1] (analytic) = 6.5189053684324385848474843385356
y[1] (numeric) = 6.5189053684324385848474843385368
absolute error = 1.2e-30
relative error = 1.8407998462609324258402788409928e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.995
y[1] (analytic) = 6.5213652882975433952283747872595
y[1] (numeric) = 6.5213652882975433952283747872606
absolute error = 1.1e-30
relative error = 1.6867633560934356762996207411737e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.996
y[1] (analytic) = 6.52382502929863314673495351391
y[1] (numeric) = 6.5238250292986331467349535139112
absolute error = 1.2e-30
relative error = 1.8394116865654354292922156175017e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.997
y[1] (analytic) = 6.5262845904755169182933831021907
y[1] (numeric) = 6.5262845904755169182933831021918
absolute error = 1.1e-30
relative error = 1.6854919284478398868560697875664e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.998
y[1] (analytic) = 6.5287439708682836130124874008996
y[1] (numeric) = 6.5287439708682836130124874009007
absolute error = 1.1e-30
relative error = 1.6848570029829284719279000313163e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.999
y[1] (analytic) = 6.5312031695173029180947684225171
y[1] (numeric) = 6.5312031695173029180947684225182
absolute error = 1.1e-30
relative error = 1.6842226025580780295238647247851e-29 %
Correct digits = 30
h = 0.001
NO POLE
Finished!
diff ( y , x , 1 ) = (0.1 * x + 1.0) - sin(x);
Iterations = 4900
Total Elapsed Time = 33 Seconds
Elapsed Time(since restart) = 33 Seconds
Time to Timeout = 2 Minutes 26 Seconds
Percent Done = 100 %
> quit
memory used=662.0MB, alloc=4.5MB, time=33.63