|\^/| 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_2D0,
> array_const_0D2,
> array_const_0D3,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> 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_2D0, array_const_0D2, array_const_0D3,
array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, 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_2D0,
> array_const_0D2,
> array_const_0D3,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> 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_2D0, array_const_0D2, array_const_0D3,
array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, 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_2D0,
> array_const_0D2,
> array_const_0D3,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> 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_2D0, array_const_0D2, array_const_0D3,
array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, 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_2D0,
> array_const_0D2,
> array_const_0D3,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (reached_interval()) then # if number 1
> if (iter >= 0) then # if number 2
> ind_var := array_x[1];
> omniout_float(ALWAYS,"x[1] ",33,ind_var,20," ");
> analytic_val_y := exact_soln_y(ind_var);
> omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y[term_no];
> abserr := omniabs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," ");
> if (omniabs(analytic_val_y) <> 0.0) then # if number 3
> relerr := abserr*100.0/omniabs(analytic_val_y);
> if (relerr <> 0.0) then # if number 4
> glob_good_digits := -trunc(log10(relerr)) + 2;
> else
> glob_good_digits := Digits;
> fi;# end if 4;
> else
> relerr := -1.0 ;
> glob_good_digits := -1;
> fi;# end if 3;
> if (glob_iter = 1) then # if number 3
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 3;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ")
> ;
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> fi;# end if 2;
> #BOTTOM DISPLAY ALOT
> fi;# end if 1;
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_0D2, array_const_0D3,
array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_real_pole, array_complex_pole, array_fact_2, glob_last;
if reached_interval() then
if 0 <= iter then
ind_var := array_x[1];
omniout_float(ALWAYS, "x[1] ", 33,
ind_var, 20, " ");
analytic_val_y := exact_soln_y(ind_var);
omniout_float(ALWAYS, "y[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y[term_no];
abserr := omniabs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y[1] (numeric) ", 33,
numeric_val, 20, " ");
if omniabs(analytic_val_y) <> 0. then
relerr := abserr*100.0/omniabs(analytic_val_y);
if relerr <> 0. then
glob_good_digits := -trunc(log10(relerr)) + 2
else glob_good_digits := Digits
end if
else relerr := -1.0; glob_good_digits := -1
end if;
if glob_iter = 1 then array_1st_rel_error[1] := relerr
else array_last_rel_error[1] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " ");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end if
end proc
> # End Function number 7
> # Begin Function number 8
> adjust_for_pole := proc(h_param)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_0D2,
> array_const_0D3,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> 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_2D0, array_const_0D2, array_const_0D3,
array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, 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_2D0,
> array_const_0D2,
> array_const_0D3,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> 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_2D0, array_const_0D2, array_const_0D3,
array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, 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_2D0,
> array_const_0D2,
> array_const_0D3,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found, h_new, ratio, term;
> #TOP CHECK FOR POLE
> #IN RADII REAL EQ = 1
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1
> #Applies to pole of arbitrary r_order on the real axis,
> #Due to Prof. George Corliss.
> n := glob_max_terms;
> m := n - 1 - 1;
> while ((m >= 10) and ((omniabs(array_y_higher[1,m]) < glob_small_float) or (omniabs(array_y_higher[1,m-1]) < glob_small_float) or (omniabs(array_y_higher[1,m-2]) < glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2;
> if (m > 10) then # if number 1
> rm0 := array_y_higher[1,m]/array_y_higher[1,m-1];
> rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2];
> hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1;
> if (omniabs(hdrc) > glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0;
> array_real_pole[1,1] := rcs;
> array_real_pole[1,2] := ord_no;
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 1;
> #BOTTOM RADII REAL EQ = 1
> #TOP RADII COMPLEX EQ = 1
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 1 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (omniabs(array_y_higher[1,n]) > glob_small_float) then # if number 1
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 1;
> n := n - 1;
> od;# end do number 2;
> m := n + cnt;
> if (m <= 10) then # if number 1
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> elif
> ((omniabs(array_y_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-5]) >= (glob_large_float))) then # if number 2
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> else
> rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]);
> rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]);
> rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]);
> rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]);
> rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(dr1) <= glob_small_float)) then # if number 3
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> else
> if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4
> rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
> #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
> ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0;
> if (omniabs(rcs) > glob_small_float) then # if number 5
> if (rcs > 0.0) then # if number 6
> rad_c := sqrt(rcs) * omniabs(glob_h);
> else
> rad_c := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 4
> fi;# end if 3;
> array_complex_pole[1,1] := rad_c;
> array_complex_pole[1,2] := ord_no;
> fi;# end if 2;
> #BOTTOM RADII COMPLEX EQ = 1
> found := false;
> #TOP WHICH RADII EQ = 1
> if ( not found and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> found := true;
> array_type_pole[1] := 2;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0)))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float)))) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> found := true;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> array_type_pole[1] := 2;
> found := true;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found ) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3;
> fi;# end if 2;
> #BOTTOM WHICH RADII EQ = 1
> array_pole[1] := glob_large_float;
> array_pole[2] := glob_large_float;
> #TOP WHICH RADIUS EQ = 1
> if (array_pole[1] > array_poles[1,1]) then # if number 2
> array_pole[1] := array_poles[1,1];
> array_pole[2] := array_poles[1,2];
> fi;# end if 2;
> #BOTTOM WHICH RADIUS EQ = 1
> #START ADJUST ALL SERIES
> if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 2
> h_new := array_pole[1] * glob_ratio_of_radius;
> term := 1;
> ratio := 1.0;
> while (term <= glob_max_terms) do # do number 2
> array_y[term] := array_y[term]* ratio;
> array_y_higher[1,term] := array_y_higher[1,term]* ratio;
> array_x[term] := array_x[term]* ratio;
> ratio := ratio * h_new / omniabs(glob_h);
> term := term + 1;
> od;# end do number 2;
> glob_h := h_new;
> fi;# end if 2;
> #BOTTOM ADJUST ALL SERIES
> if (reached_interval()) then # if number 2
> display_pole();
> fi;# end if 2
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs,
rm0, rm1, rm2, rm3, rm4, found, h_new, ratio, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_0D2, array_const_0D3,
array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_real_pole, array_complex_pole, array_fact_2, glob_last;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (omniabs(array_y_higher[1, m]) < glob_small_float or
omniabs(array_y_higher[1, m - 1]) < glob_small_float or
omniabs(array_y_higher[1, m - 2]) < glob_small_float) do m := m - 1
end do;
if 10 < m then
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1;
if glob_small_float < omniabs(hdrc) then
rcs := glob_h/hdrc;
ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0;
array_real_pole[1, 1] := rcs;
array_real_pole[1, 2] := ord_no
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < omniabs(array_y_higher[1, n]) then
cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
elif glob_large_float <= omniabs(array_y_higher[1, m]) or
glob_large_float <= omniabs(array_y_higher[1, m - 1]) or
glob_large_float <= omniabs(array_y_higher[1, m - 2]) or
glob_large_float <= omniabs(array_y_higher[1, m - 3]) or
glob_large_float <= omniabs(array_y_higher[1, m - 4]) or
glob_large_float <= omniabs(array_y_higher[1, m - 5]) then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
else
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3];
rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4];
rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or
omniabs(dr1) <= glob_small_float then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
else
if glob_small_float < omniabs(nr1*dr2 - nr2*dr1) then
rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1);
ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0;
if glob_small_float < omniabs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*omniabs(glob_h)
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_pole[1, 1] := rad_c;
array_complex_pole[1, 2] := ord_no
end if;
found := false;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and
array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
found := true;
array_type_pole[1] := 2;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if
end if;
if not found and array_real_pole[1, 1] <> glob_large_float and
array_real_pole[1, 2] <> glob_large_float and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float or
array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if
end if;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float) then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
found := true;
array_type_pole[1] := 3;
if reached_interval() then omniout_str(ALWAYS, "NO POLE") end if
end if;
if not found and array_real_pole[1, 1] < array_complex_pole[1, 1] and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if
end if;
if not found and array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
array_type_pole[1] := 2;
found := true;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if
end if;
if not found then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
array_type_pole[1] := 3;
if reached_interval() then omniout_str(ALWAYS, "NO POLE") end if
end if;
array_pole[1] := glob_large_float;
array_pole[2] := glob_large_float;
if array_poles[1, 1] < array_pole[1] then
array_pole[1] := array_poles[1, 1];
array_pole[2] := array_poles[1, 2]
end if;
if array_pole[1]*glob_ratio_of_radius < omniabs(glob_h) then
h_new := array_pole[1]*glob_ratio_of_radius;
term := 1;
ratio := 1.0;
while term <= glob_max_terms do
array_y[term] := array_y[term]*ratio;
array_y_higher[1, term] := array_y_higher[1, term]*ratio;
array_x[term] := array_x[term]*ratio;
ratio := ratio*h_new/omniabs(glob_h);
term := term + 1
end do;
glob_h := h_new
end if;
if reached_interval() then display_pole() end if
end proc
> # End Function number 10
> # Begin Function number 11
> get_norms := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_0D2,
> array_const_0D3,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> 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_2D0, array_const_0D2, array_const_0D3,
array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, 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_2D0,
> array_const_0D2,
> array_const_0D3,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local kkk, order_d, adj2, adj3 , temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 1
> array_tmp1[1] := array_const_0D2[1] * array_x[1];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 1
> array_tmp2[1] := array_tmp1[1] + array_const_0D3[1];
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 1
> array_tmp3[1] := array_const_2D0[1] * array_tmp2[1];
> #emit pre add CONST - LINEAR $eq_no = 1 i = 1
> array_tmp4[1] := array_const_0D0[1] + array_tmp3[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_tmp4[1] * expt(glob_h , (1)) * factorial_3(0,1);
> array_y[2] := temporary;
> array_y_higher[1,2] := temporary;
> temporary := temporary / glob_h;
> array_y_higher[2,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 2
> array_tmp1[2] := array_const_0D2[1] * array_x[2];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2];
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 2
> array_tmp3[2] := array_const_2D0[1] * array_tmp2[2];
> #emit pre add CONST - LINEAR $eq_no = 1 i = 2
> array_tmp4[2] := array_tmp3[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_tmp4[2] * expt(glob_h , (1)) * factorial_3(1,2);
> array_y[3] := temporary;
> array_y_higher[1,3] := temporary;
> temporary := temporary / glob_h;
> array_y_higher[2,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> #emit pre 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_tmp4[3] * expt(glob_h , (1)) * factorial_3(2,3);
> array_y[4] := temporary;
> array_y_higher[1,4] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> #emit pre 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_tmp4[4] * expt(glob_h , (1)) * factorial_3(3,4);
> array_y[5] := temporary;
> array_y_higher[1,5] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y_higher[2,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> #emit pre 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_tmp4[5] * expt(glob_h , (1)) * factorial_3(4,5);
> array_y[6] := temporary;
> array_y_higher[1,6] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y_higher[2,5] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 6;
> #END ATOMHDR5
> #BEGIN OUTFILE3
> #Top Atomall While Loop-- outfile3
> while (kkk <= glob_max_terms) do # do number 1
> #END OUTFILE3
> #BEGIN OUTFILE4
> #emit 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_tmp4[kkk] * expt(glob_h , (order_d)) / factorial_3((kkk - 1),(kkk + order_d - 1));
> array_y[kkk + order_d] := temporary;
> array_y_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := kkk + order_d - 2;
> adj3 := 2;
> while (term >= 1) do # do number 2
> if (adj3 <= order_d + 1) then # if number 3
> if (adj2 > 1) then # if number 4
> temporary := temporary / glob_h * convfp(adj2);
> else
> temporary := temporary / glob_h;
> fi;# end if 4;
> array_y_higher[adj3,term] := temporary;
> fi;# end if 3;
> term := term - 1;
> adj2 := adj2 - 1;
> adj3 := adj3 + 1;
> od;# end do number 2
> fi;# end if 2
> fi;# end if 1;
> kkk := kkk + 1;
> od;# end do number 1;
> #BOTTOM ATOMALL
> #END OUTFILE4
> #BEGIN OUTFILE5
> #BOTTOM ATOMALL ???
> end;
atomall := proc()
local kkk, order_d, adj2, adj3, temporary, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_0D2, array_const_0D3,
array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_real_pole, array_complex_pole, array_fact_2, glob_last;
array_tmp1[1] := array_const_0D2[1]*array_x[1];
array_tmp2[1] := array_tmp1[1] + array_const_0D3[1];
array_tmp3[1] := array_const_2D0[1]*array_tmp2[1];
array_tmp4[1] := array_const_0D0[1] + array_tmp3[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp4[1]*expt(glob_h, 1)*factorial_3(0, 1);
array_y[2] := temporary;
array_y_higher[1, 2] := temporary;
temporary := temporary/glob_h;
array_y_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := array_const_0D2[1]*array_x[2];
array_tmp2[2] := array_tmp1[2];
array_tmp3[2] := array_const_2D0[1]*array_tmp2[2];
array_tmp4[2] := array_tmp3[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp4[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_y[3] := temporary;
array_y_higher[1, 3] := temporary;
temporary := temporary/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp4[3]*expt(glob_h, 1)*factorial_3(2, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 3] := temporary
end if
end if;
kkk := 4;
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp4[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*3.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp4[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*4.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
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_tmp4[kkk]*expt(glob_h, order_d)/
factorial_3(kkk - 1, kkk + order_d - 1);
array_y[kkk + order_d] := temporary;
array_y_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := kkk + order_d - 2;
adj3 := 2;
while 1 <= term do
if adj3 <= order_d + 1 then
if 1 < adj2 then
temporary := temporary*convfp(adj2)/glob_h
else temporary := temporary/glob_h
end if;
array_y_higher[adj3, term] := temporary
end if;
term := term - 1;
adj2 := adj2 - 1;
adj3 := adj3 + 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> # End Function number 12
> #BEGIN ATS LIBRARY BLOCK
> # Begin Function number 2
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s\n",str);
> fi;# end if 1;
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s\n", str) end if
end proc
> # End Function number 2
> # Begin Function number 3
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s",str);
> fi;# end if 1;
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> # End Function number 3
> # Begin Function number 4
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> print(label,str);
> fi;# end if 1;
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> # End Function number 4
> # Begin Function number 5
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> if vallen = 4 then
> printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel);
> else
> printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 4 then
printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel)
else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 5
> # Begin Function number 6
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> if vallen = 5 then # if number 1
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 5 then
printf("%-30s = %-32d %s\n", prelabel, value, postlabel)
else printf("%-30s = %-32d %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 6
> # Begin Function number 7
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;# end if 0;
> end;
omniout_float_arr := proc(
iolevel, prelabel, elemnt, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
print(prelabel, "[", elemnt, "]", value, postlabel)
end if
end proc
> # End Function number 7
> # Begin Function number 8
> dump_series := proc(iolevel,dump_label,series_name,arr_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then # if number 0
> i := 1;
> while (i <= numb) do # do number 1
> print(dump_label,series_name
> ,i,arr_series[i]);
> i := i + 1;
> od;# end do number 1
> fi;# end if 0
> end;
dump_series := proc(iolevel, dump_label, series_name, arr_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, arr_series[i]); i := i + 1
end do
end if
end proc
> # End Function number 8
> # Begin Function number 9
> dump_series_2 := proc(iolevel,dump_label,series_name2,arr_series2,numb,subnum,arr_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then # if number 0
> sub := 1;
> while (sub <= subnum) do # do number 1
> i := 1;
> while (i <= numb) do # do number 2
> print(dump_label,series_name2,sub,i,arr_series2[sub,i]);
> od;# end do number 2;
> sub := sub + 1;
> od;# end do number 1;
> fi;# end if 0;
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x)
local i, sub, ts_term;
global glob_iolevel;
if iolevel <= glob_iolevel then
sub := 1;
while sub <= subnum do
i := 1;
while i <= numb do print(dump_label, series_name2, sub, i,
arr_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> # End Function number 9
> # Begin Function number 10
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= iolevel) then # if number 0
> print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h)
> fi;# end if 0;
> end;
cs_info := proc(iolevel, str)
global
glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h;
if iolevel <= glob_iolevel then print("cs_info ", str,
" glob_correct_start_flag = ", glob_correct_start_flag,
"glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h)
end if
end proc
> # End Function number 10
> # Begin Function number 11
> logitem_time := proc(fd,secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> fprintf(fd,"
");
> if (secs_in >= 0) then # if number 0
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 1
> fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 2
> fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 3
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 4
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 4
> else
> fprintf(fd," Unknown");
> fi;# end if 3
> fprintf(fd," | \n");
> end;
logitem_time := proc(fd, secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
fprintf(fd, "");
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then fprintf(fd,
"%d Years %d Days %d Hours %d Minutes %d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then fprintf(fd,
"%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int,
minutes_int, sec_int)
elif 0 < hours_int then fprintf(fd,
"%d Hours %d Minutes %d Seconds", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int)
else fprintf(fd, "%d Seconds", sec_int)
end if
else fprintf(fd, " Unknown")
end if;
fprintf(fd, " | \n")
end proc
> # End Function number 11
> # Begin Function number 12
> omniout_timestr := proc(secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> if (secs_in >= 0) then # if number 3
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 4
> printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 5
> printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 6
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 7
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 7
> else
> printf(" Unknown\n");
> fi;# end if 6
> end;
omniout_timestr := proc(secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then printf(
" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",
years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then printf(
" = %d Days %d Hours %d Minutes %d Seconds\n", days_int,
hours_int, minutes_int, sec_int)
elif 0 < hours_int then printf(
" = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int)
else printf(" = %d Seconds\n", sec_int)
end if
else printf(" Unknown\n")
end if
end proc
> # End Function number 12
> # Begin Function number 13
> ats := proc(mmm_ats,arr_a,arr_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 6
> ma_ats := mmm_ats + 1;
> iii_ats := jjj_ats;
> while (iii_ats <= mmm_ats) do # do number 1
> lll_ats := ma_ats - iii_ats;
> ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 6;
> ret_ats;
> end;
ats := proc(mmm_ats, arr_a, arr_b, jjj_ats)
local iii_ats, lll_ats, ma_ats, ret_ats;
ret_ats := 0.;
if jjj_ats <= mmm_ats then
ma_ats := mmm_ats + 1;
iii_ats := jjj_ats;
while iii_ats <= mmm_ats do
lll_ats := ma_ats - iii_ats;
ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
> # End Function number 13
> # Begin Function number 14
> att := proc(mmm_att,arr_aa,arr_bb,jjj_att)
> global glob_max_terms;
> local al_att, iii_att,lll_att, ma_att, ret_att;
> ret_att := 0.0;
> if (jjj_att <= mmm_att) then # if number 6
> ma_att := mmm_att + 2;
> iii_att := jjj_att;
> while (iii_att <= mmm_att) do # do number 1
> lll_att := ma_att - iii_att;
> al_att := (lll_att - 1);
> if (lll_att <= glob_max_terms) then # if number 7
> ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]* convfp(al_att);
> fi;# end if 7;
> iii_att := iii_att + 1;
> od;# end do number 1;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 6;
> ret_att;
> end;
att := proc(mmm_att, arr_aa, arr_bb, jjj_att)
local al_att, iii_att, lll_att, ma_att, ret_att;
global glob_max_terms;
ret_att := 0.;
if jjj_att <= mmm_att then
ma_att := mmm_att + 2;
iii_att := jjj_att;
while iii_att <= mmm_att do
lll_att := ma_att - iii_att;
al_att := lll_att - 1;
if lll_att <= glob_max_terms then ret_att :=
ret_att + arr_aa[iii_att]*arr_bb[lll_att]*convfp(al_att)
end if;
iii_att := iii_att + 1
end do;
ret_att := ret_att/convfp(mmm_att)
end if;
ret_att
end proc
> # End Function number 14
> # Begin Function number 15
> display_pole := proc()
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 6
> omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," ");
> omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," ");
> fi;# end if 6
> end;
display_pole := proc()
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if array_pole[1] <> glob_large_float and 0. < array_pole[1] and
array_pole[2] <> glob_large_float and 0. < array_pole[2] and
glob_display_flag then
omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole[1], 4, " ");
omniout_float(ALWAYS, "Order of pole ", 4,
array_pole[2], 4, " ")
end if
end proc
> # End Function number 15
> # Begin Function number 16
> logditto := proc(file)
> fprintf(file,"");
> fprintf(file,"ditto");
> fprintf(file," | ");
> end;
logditto := proc(file)
fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, " | ")
end proc
> # End Function number 16
> # Begin Function number 17
> logitem_integer := proc(file,n)
> fprintf(file,"");
> fprintf(file,"%d",n);
> fprintf(file," | ");
> end;
logitem_integer := proc(file, n)
fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, " | ")
end proc
> # End Function number 17
> # Begin Function number 18
> logitem_str := proc(file,str)
> fprintf(file,"");
> fprintf(file,str);
> fprintf(file," | ");
> end;
logitem_str := proc(file, str)
fprintf(file, ""); fprintf(file, str); fprintf(file, " | ")
end proc
> # End Function number 18
> # Begin Function number 19
> logitem_good_digits := proc(file,rel_error)
> global glob_small_float;
> local good_digits;
> fprintf(file,"");
> if (rel_error <> -1.0) then # if number 6
> if (rel_error <> 0.0) then # if number 7
> good_digits := 1-trunc(log10(rel_error));
> fprintf(file,"%d",good_digits);
> else
> good_digits := Digits;
> fprintf(file,"%d",good_digits);
> fi;# end if 7;
> else
> fprintf(file,"Unknown");
> fi;# end if 6;
> fprintf(file," | ");
> end;
logitem_good_digits := proc(file, rel_error)
local good_digits;
global glob_small_float;
fprintf(file, "");
if rel_error <> -1.0 then
if rel_error <> 0. then
good_digits := 1 - trunc(log10(rel_error));
fprintf(file, "%d", good_digits)
else good_digits := Digits; fprintf(file, "%d", good_digits)
end if
else fprintf(file, "Unknown")
end if;
fprintf(file, " | ")
end proc
> # End Function number 19
> # Begin Function number 20
> log_revs := proc(file,revs)
> fprintf(file,revs);
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # End Function number 20
> # Begin Function number 21
> logitem_float := proc(file,x)
> fprintf(file,"");
> fprintf(file,"%g",x);
> fprintf(file," | ");
> end;
logitem_float := proc(file, x)
fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, " | ")
end proc
> # End Function number 21
> # Begin Function number 22
> logitem_pole := proc(file,pole)
> fprintf(file,"");
> if (pole = 0) then # if number 6
> fprintf(file,"NA");
> elif
> (pole = 1) then # if number 7
> fprintf(file,"Real");
> elif
> (pole = 2) then # if number 8
> fprintf(file,"Complex");
> else
> fprintf(file,"No Pole");
> fi;# end if 8
> fprintf(file," | ");
> end;
logitem_pole := proc(file, pole)
fprintf(file, "");
if pole = 0 then fprintf(file, "NA")
elif pole = 1 then fprintf(file, "Real")
elif pole = 2 then fprintf(file, "Complex")
else fprintf(file, "No Pole")
end if;
fprintf(file, " | ")
end proc
> # End Function number 22
> # Begin Function number 23
> logstart := proc(file)
> fprintf(file,"");
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # End Function number 23
> # Begin Function number 24
> logend := proc(file)
> fprintf(file,"
\n");
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # End Function number 24
> # Begin Function number 25
> chk_data := proc()
> global glob_max_iter,ALWAYS, glob_max_terms;
> local errflag;
> errflag := false;
> if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 8
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 8;
> if (glob_max_iter < 2) then # if number 8
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 8;
> if (errflag) then # if number 8
> quit;
> fi;# end if 8
> end;
chk_data := proc()
local errflag;
global glob_max_iter, ALWAYS, glob_max_terms;
errflag := false;
if glob_max_terms < 15 or 512 < glob_max_terms then
omniout_str(ALWAYS, "Illegal max_terms = -- Using 30");
glob_max_terms := 30
end if;
if glob_max_iter < 2 then
omniout_str(ALWAYS, "Illegal max_iter"); errflag := true
end if;
if errflag then quit end if
end proc
> # End Function number 25
> # Begin Function number 26
> comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2)
> global glob_small_float;
> local ms2, rrr, sec_left, sub1, sub2;
> ;
> ms2 := clock_sec2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub1 = 0.0) then # if number 8
> sec_left := 0.0;
> else
> if (sub2 > 0.0) then # if number 9
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 9
> fi;# end if 8;
> sec_left;
> end;
comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2)
local ms2, rrr, sec_left, sub1, sub2;
global glob_small_float;
ms2 := clock_sec2;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if sub1 = 0. then sec_left := 0.
else
if 0. < sub2 then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2
else sec_left := 0.
end if
end if;
sec_left
end proc
> # End Function number 26
> # Begin Function number 27
> comp_percent := proc(t_end2,t_start2, t2)
> global glob_small_float;
> local rrr, sub1, sub2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub2 > glob_small_float) then # if number 8
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 8;
> rrr;
> end;
comp_percent := proc(t_end2, t_start2, t2)
local rrr, sub1, sub2;
global glob_small_float;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if glob_small_float < sub2 then rrr := 100.0*sub2/sub1
else rrr := 0.
end if;
rrr
end proc
> # End Function number 27
> # Begin Function number 28
> factorial_2 := proc(nnn)
> nnn!;
> end;
factorial_2 := proc(nnn) nnn! end proc
> # End Function number 28
> # Begin Function number 29
> factorial_1 := proc(nnn)
> global glob_max_terms,array_fact_1;
> local ret;
> if (nnn <= glob_max_terms) then # if number 8
> if (array_fact_1[nnn] = 0) then # if number 9
> ret := factorial_2(nnn);
> array_fact_1[nnn] := ret;
> else
> ret := array_fact_1[nnn];
> fi;# end if 9;
> else
> ret := factorial_2(nnn);
> fi;# end if 8;
> ret;
> end;
factorial_1 := proc(nnn)
local ret;
global glob_max_terms, array_fact_1;
if nnn <= glob_max_terms then
if array_fact_1[nnn] = 0 then
ret := factorial_2(nnn); array_fact_1[nnn] := ret
else ret := array_fact_1[nnn]
end if
else ret := factorial_2(nnn)
end if;
ret
end proc
> # End Function number 29
> # Begin Function number 30
> factorial_3 := proc(mmm,nnn)
> global glob_max_terms,array_fact_2;
> local ret;
> if ((nnn <= glob_max_terms) and (mmm <= glob_max_terms)) then # if number 8
> if (array_fact_2[mmm,nnn] = 0) then # if number 9
> ret := factorial_1(mmm)/factorial_1(nnn);
> array_fact_2[mmm,nnn] := ret;
> else
> ret := array_fact_2[mmm,nnn];
> fi;# end if 9;
> else
> ret := factorial_2(mmm)/factorial_2(nnn);
> fi;# end if 8;
> ret;
> end;
factorial_3 := proc(mmm, nnn)
local ret;
global glob_max_terms, array_fact_2;
if nnn <= glob_max_terms and mmm <= glob_max_terms then
if array_fact_2[mmm, nnn] = 0 then
ret := factorial_1(mmm)/factorial_1(nnn);
array_fact_2[mmm, nnn] := ret
else ret := array_fact_2[mmm, nnn]
end if
else ret := factorial_2(mmm)/factorial_2(nnn)
end if;
ret
end proc
> # End Function number 30
> # Begin Function number 31
> convfp := proc(mmm)
> (mmm);
> end;
convfp := proc(mmm) mmm end proc
> # End Function number 31
> # Begin Function number 32
> convfloat := proc(mmm)
> (mmm);
> end;
convfloat := proc(mmm) mmm end proc
> # End Function number 32
> # Begin Function number 33
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
> # End Function number 33
> # Begin Function number 34
> omniabs := proc(x)
> abs(x);
> end;
omniabs := proc(x) abs(x) end proc
> # End Function number 34
> # Begin Function number 35
> expt := proc(x,y)
> (x^y);
> end;
expt := proc(x, y) x^y end proc
> # End Function number 35
> # Begin Function number 36
> estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer)
> local desired_abs_gbl_error,range,estimated_steps,step_error;
> global glob_desired_digits_correct,ALWAYS;
> omniout_float(ALWAYS,"glob_desired_digits_correct",32,glob_desired_digits_correct,32,"");
> desired_abs_gbl_error := expt(10.0,- glob_desired_digits_correct) * omniabs(estimated_answer);
> omniout_float(ALWAYS,"desired_abs_gbl_error",32,desired_abs_gbl_error,32,"");
> range := (x_end - x_start);
> omniout_float(ALWAYS,"range",32,range,32,"");
> estimated_steps := range / estimated_h;
> omniout_float(ALWAYS,"estimated_steps",32,estimated_steps,32,"");
> step_error := omniabs(desired_abs_gbl_error / estimated_steps);
> omniout_float(ALWAYS,"step_error",32,step_error,32,"");
> (step_error);;
> end;
estimated_needed_step_error := proc(
x_start, x_end, estimated_h, estimated_answer)
local desired_abs_gbl_error, range, estimated_steps, step_error;
global glob_desired_digits_correct, ALWAYS;
omniout_float(ALWAYS, "glob_desired_digits_correct", 32,
glob_desired_digits_correct, 32, "");
desired_abs_gbl_error :=
expt(10.0, -glob_desired_digits_correct)*omniabs(estimated_answer);
omniout_float(ALWAYS, "desired_abs_gbl_error", 32,
desired_abs_gbl_error, 32, "");
range := x_end - x_start;
omniout_float(ALWAYS, "range", 32, range, 32, "");
estimated_steps := range/estimated_h;
omniout_float(ALWAYS, "estimated_steps", 32, estimated_steps, 32, "");
step_error := omniabs(desired_abs_gbl_error/estimated_steps);
omniout_float(ALWAYS, "step_error", 32, step_error, 32, "");
step_error
end proc
> # End Function number 36
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y := proc(x)
> return(0.2 * x * x + 0.6 * x);
> end;
exact_soln_y := proc(x) return 0.2*x*x + 0.6*x end proc
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> main := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,iiif,jjjf,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, log10norm, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h;
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_0D2,
> array_const_0D3,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> glob_max_terms := 30;
> glob_iolevel := 5;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> MAX_UNCHANGED := 10;
> glob_check_sign := 1.0;
> glob_desired_digits_correct := 8.0;
> glob_max_value3 := 0.0;
> glob_ratio_of_radius := 0.01;
> glob_percent_done := 0.0;
> glob_subiter_method := 3;
> glob_log10normmin := 0.1;
> glob_total_exp_sec := 0.1;
> glob_optimal_expect_sec := 0.1;
> glob_html_log := true;
> glob_good_digits := 0;
> glob_max_opt_iter := 10;
> glob_dump := false;
> glob_djd_debug := true;
> glob_display_flag := true;
> glob_djd_debug2 := true;
> glob_sec_in_minute := 60;
> glob_min_in_hour := 60;
> glob_hours_in_day := 24;
> glob_days_in_year := 365;
> glob_sec_in_hour := 3600;
> glob_sec_in_day := 86400;
> glob_sec_in_year := 31536000;
> glob_almost_1 := 0.9990;
> glob_clock_sec := 0.0;
> glob_clock_start_sec := 0.0;
> glob_not_yet_finished := true;
> glob_initial_pass := true;
> glob_not_yet_start_msg := true;
> glob_reached_optimal_h := false;
> glob_optimal_done := false;
> glob_disp_incr := 0.1;
> glob_h := 0.1;
> glob_hmax := 1.0;
> glob_hmin := 0.00000000001;
> glob_hmin_init := 0.001;
> glob_large_float := 9.0e100;
> glob_last_good_h := 0.1;
> glob_look_poles := false;
> glob_neg_h := false;
> glob_display_interval := 0.0;
> glob_next_display := 0.0;
> glob_dump_analytic := false;
> glob_log10_abserr := 0.1e-10;
> glob_log10_relerr := 0.1e-10;
> glob_abserr := 0.1e-10;
> glob_relerr := 0.1e-10;
> glob_max_hours := 0.0;
> glob_max_iter := 1000;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_max_trunc_err := 0.1e-10;
> glob_no_eqs := 0;
> glob_optimal_clock_start_sec := 0.0;
> glob_optimal_start := 0.0;
> glob_small_float := 0.1e-50;
> glob_smallish_float := 0.1e-100;
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_max_sec := 10000.0;
> glob_orig_start_sec := 0.0;
> glob_start := 0;
> glob_curr_iter_when_opt := 0;
> glob_current_iter := 0;
> glob_iter := 0;
> glob_normmax := 0.0;
> glob_log10abserr := 0.0;
> glob_log10relerr := 0.0;
> glob_max_minutes := 0.0;
> #Write Set Defaults
> glob_orig_start_sec := elapsed_time_seconds();
> MAX_UNCHANGED := 10;
> glob_curr_iter_when_opt := 0;
> glob_display_flag := true;
> glob_no_eqs := 1;
> glob_iter := -1;
> opt_iter := -1;
> glob_max_iter := 50000;
> glob_max_hours := 0.0;
> glob_max_minutes := 15.0;
> omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################");
> omniout_str(ALWAYS,"##############temp/mult_c_linpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = 2.0 * (0.2 * x + 0.3);");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits:=32;");
> omniout_str(ALWAYS,"max_terms:=30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := 0.1;");
> omniout_str(ALWAYS,"x_end := 5.0 ;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_h := 0.05;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 1000000;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_desired_digits_correct:=10;");
> omniout_str(ALWAYS,"glob_display_interval:=0.001;");
> omniout_str(ALWAYS,"glob_look_poles:=true;");
> omniout_str(ALWAYS,"glob_max_iter:=10000000;");
> omniout_str(ALWAYS,"glob_max_minutes:=3;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_y := proc(x)");
> omniout_str(ALWAYS,"return(0.2 * x * x + 0.6 * 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:= 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[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 := 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_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_2D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_2D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_2D0[1] := 2.0;
> array_const_0D2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D2[1] := 0.2;
> array_const_0D3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D3[1] := 0.3;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #Initing Factorial Tables
> iiif := 0;
> while (iiif <= glob_max_terms) do # do number 2
> jjjf := 0;
> while (jjjf <= glob_max_terms) do # do number 3
> array_fact_1[iiif] := 0;
> array_fact_2[iiif,jjjf] := 0;
> jjjf := jjjf + 1;
> od;# end do number 3;
> iiif := iiif + 1;
> od;# end do number 2;
> #Done Initing Factorial Tables
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> x_start := 0.1;
> x_end := 5.0 ;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_h := 0.05;
> glob_look_poles := true;
> glob_max_iter := 1000000;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_desired_digits_correct:=10;
> glob_display_interval:=0.001;
> glob_look_poles:=true;
> glob_max_iter:=10000000;
> glob_max_minutes:=3;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> glob_abserr := expt(10.0 , (glob_log10_abserr));
> glob_relerr := expt(10.0 , (glob_log10_relerr));
> if (glob_h > 0.0) then # if number 1
> glob_neg_h := false;
> glob_display_interval := omniabs(glob_display_interval);
> else
> glob_neg_h := true;
> glob_display_interval := -omniabs(glob_display_interval);
> fi;# end if 1;
> chk_data();
> #AFTER INITS AFTER SECOND INPUT BLOCK
> array_y_set_initial[1,1] := true;
> array_y_set_initial[1,2] := false;
> array_y_set_initial[1,3] := false;
> array_y_set_initial[1,4] := false;
> array_y_set_initial[1,5] := false;
> array_y_set_initial[1,6] := false;
> array_y_set_initial[1,7] := false;
> array_y_set_initial[1,8] := false;
> array_y_set_initial[1,9] := false;
> array_y_set_initial[1,10] := false;
> array_y_set_initial[1,11] := false;
> array_y_set_initial[1,12] := false;
> array_y_set_initial[1,13] := false;
> array_y_set_initial[1,14] := false;
> array_y_set_initial[1,15] := false;
> array_y_set_initial[1,16] := false;
> array_y_set_initial[1,17] := false;
> array_y_set_initial[1,18] := false;
> array_y_set_initial[1,19] := false;
> array_y_set_initial[1,20] := false;
> array_y_set_initial[1,21] := false;
> array_y_set_initial[1,22] := false;
> array_y_set_initial[1,23] := false;
> array_y_set_initial[1,24] := false;
> array_y_set_initial[1,25] := false;
> array_y_set_initial[1,26] := false;
> array_y_set_initial[1,27] := false;
> array_y_set_initial[1,28] := false;
> array_y_set_initial[1,29] := false;
> array_y_set_initial[1,30] := false;
> #BEGIN OPTIMIZE CODE
> omniout_str(ALWAYS,"START of Optimize");
> #Start Series -- INITIALIZE FOR OPTIMIZE
> glob_check_sign := check_sign(x_start,x_end);
> glob_h := check_sign(x_start,x_end);
> if (glob_display_interval < glob_h) then # if number 2
> glob_h := glob_display_interval;
> fi;# end if 2;
> found_h := -1.0;
> best_h := 0.0;
> min_value := glob_large_float;
> est_answer := est_size_answer();
> opt_iter := 1;
> while ((opt_iter <= 20) and (found_h < 0.0)) do # do number 2
> omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,"");
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 3
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 3;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 3
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 4
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 4;
> r_order := r_order + 1;
> od;# end do number 3
> ;
> atomall();
> est_needed_step_err := estimated_needed_step_error(x_start,x_end,glob_h,est_answer);
> omniout_float(ALWAYS,"est_needed_step_err",32,est_needed_step_err,16,"");
> value3 := test_suggested_h();
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> if ((value3 < est_needed_step_err) and (found_h < 0.0)) then # if number 2
> best_h := glob_h;
> found_h := 1.0;
> fi;# end if 2;
> omniout_float(ALWAYS,"best_h",32,best_h,32,"");
> opt_iter := opt_iter + 1;
> glob_h := glob_h * 0.5;
> od;# end do number 2;
> if (found_h > 0.0) then # if number 2
> glob_h := best_h ;
> else
> omniout_str(ALWAYS,"No increment to obtain desired accuracy found");
> fi;# end if 2;
> #END OPTIMIZE CODE
> if (glob_html_log) then # if number 2
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 2;
> #BEGIN SOLUTION CODE
> if (found_h > 0.0) then # if number 2
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> current_iter := 1;
> glob_clock_start_sec := elapsed_time_seconds();
> glob_log10normmin := -glob_large_float ;
> if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 3
> tmp := omniabs(array_y_higher[1,1]);
> log10norm := (log10(tmp));
> if (log10norm < glob_log10normmin) then # if number 4
> glob_log10normmin := log10norm;
> fi;# end if 4
> fi;# end if 3;
> display_alot(current_iter)
> ;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and ((glob_check_sign * array_x[1]) < (glob_check_sign * x_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> if (reached_interval()) then # if number 3
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> fi;# end if 3;
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> atomall();
> if (glob_look_poles) then # if number 3
> #left paren 0004C
> check_for_pole();
> fi;# end if 3;#was right paren 0004C
> if (reached_interval()) then # if number 3
> glob_next_display := glob_next_display + glob_display_interval;
> fi;# end if 3;
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y
> order_diff := 1;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_y[term_no] := array_y_higher_work2[1,term_no];
> ord := 1;
> while (ord <= order_diff) do # do number 4
> array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4;
> term_no := term_no - 1;
> od;# end do number 3;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> display_alot(current_iter)
> ;
> od;# end do number 2;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 3
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!");
> fi;# end if 3;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 3
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!");
> fi;# end if 3;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y , x , 1 ) = 2.0 * (0.2 * x + 0.3);");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if (glob_html_log) then # if number 3
> logstart(html_log_file);
> logitem_str(html_log_file,"2012-12-15T01:44:50-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"mult_c_lin")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = 2.0 * (0.2 * x + 0.3);")
> ;
> logitem_float(html_log_file,x_start)
> ;
> logitem_float(html_log_file,x_end)
> ;
> logitem_float(html_log_file,array_x[1])
> ;
> logitem_float(html_log_file,glob_h)
> ;
> logitem_integer(html_log_file,Digits)
> ;
> ;
> logitem_good_digits(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_max_terms)
> ;
> logitem_float(html_log_file,array_1st_rel_error[1])
> ;
> logitem_float(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_iter)
> ;
> logitem_pole(html_log_file,array_type_pole[1])
> ;
> if (array_type_pole[1] = 1 or array_type_pole[1] = 2) then # if number 4
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 4;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if (glob_percent_done < 100.0) then # if number 4
> logitem_time(html_log_file,convfloat(glob_total_exp_sec))
> ;
> 0;
> else
> logitem_str(html_log_file,"Done")
> ;
> 0;
> fi;# end if 4;
> log_revs(html_log_file," 151 | ")
> ;
> logitem_str(html_log_file,"mult_c_lin diffeq.mxt")
> ;
> logitem_str(html_log_file,"mult_c_lin maple results")
> ;
> logitem_str(html_log_file,"Languages compared")
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 3;
> if (glob_html_log) then # if number 3
> fclose(html_log_file);
> fi;# end if 3
> ;
> ;;
> fi;# end if 2
> #END OUTFILEMAIN
> end;
main := proc()
local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff,
term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii,
temp_sum, current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter,
tmp, subiter, est_needed_step_err, value3, min_value, est_answer, best_h,
found_h;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_0D2, array_const_0D3,
array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_real_pole, array_complex_pole, array_fact_2, glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
glob_max_terms := 30;
glob_iolevel := 5;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
MAX_UNCHANGED := 10;
glob_check_sign := 1.0;
glob_desired_digits_correct := 8.0;
glob_max_value3 := 0.;
glob_ratio_of_radius := 0.01;
glob_percent_done := 0.;
glob_subiter_method := 3;
glob_log10normmin := 0.1;
glob_total_exp_sec := 0.1;
glob_optimal_expect_sec := 0.1;
glob_html_log := true;
glob_good_digits := 0;
glob_max_opt_iter := 10;
glob_dump := false;
glob_djd_debug := true;
glob_display_flag := true;
glob_djd_debug2 := true;
glob_sec_in_minute := 60;
glob_min_in_hour := 60;
glob_hours_in_day := 24;
glob_days_in_year := 365;
glob_sec_in_hour := 3600;
glob_sec_in_day := 86400;
glob_sec_in_year := 31536000;
glob_almost_1 := 0.9990;
glob_clock_sec := 0.;
glob_clock_start_sec := 0.;
glob_not_yet_finished := true;
glob_initial_pass := true;
glob_not_yet_start_msg := true;
glob_reached_optimal_h := false;
glob_optimal_done := false;
glob_disp_incr := 0.1;
glob_h := 0.1;
glob_hmax := 1.0;
glob_hmin := 0.1*10^(-10);
glob_hmin_init := 0.001;
glob_large_float := 0.90*10^101;
glob_last_good_h := 0.1;
glob_look_poles := false;
glob_neg_h := false;
glob_display_interval := 0.;
glob_next_display := 0.;
glob_dump_analytic := false;
glob_log10_abserr := 0.1*10^(-10);
glob_log10_relerr := 0.1*10^(-10);
glob_abserr := 0.1*10^(-10);
glob_relerr := 0.1*10^(-10);
glob_max_hours := 0.;
glob_max_iter := 1000;
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_max_trunc_err := 0.1*10^(-10);
glob_no_eqs := 0;
glob_optimal_clock_start_sec := 0.;
glob_optimal_start := 0.;
glob_small_float := 0.1*10^(-50);
glob_smallish_float := 0.1*10^(-100);
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_max_sec := 10000.0;
glob_orig_start_sec := 0.;
glob_start := 0;
glob_curr_iter_when_opt := 0;
glob_current_iter := 0;
glob_iter := 0;
glob_normmax := 0.;
glob_log10abserr := 0.;
glob_log10relerr := 0.;
glob_max_minutes := 0.;
glob_orig_start_sec := elapsed_time_seconds();
MAX_UNCHANGED := 10;
glob_curr_iter_when_opt := 0;
glob_display_flag := true;
glob_no_eqs := 1;
glob_iter := -1;
opt_iter := -1;
glob_max_iter := 50000;
glob_max_hours := 0.;
glob_max_minutes := 15.0;
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################");
omniout_str(ALWAYS,
"##############temp/mult_c_linpostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = 2.0 * (0.2 * x + 0.3);");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits:=32;");
omniout_str(ALWAYS, "max_terms:=30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := 0.1;");
omniout_str(ALWAYS, "x_end := 5.0 ;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_h := 0.05;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 1000000;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_desired_digits_correct:=10;");
omniout_str(ALWAYS, "glob_display_interval:=0.001;");
omniout_str(ALWAYS, "glob_look_poles:=true;");
omniout_str(ALWAYS, "glob_max_iter:=10000000;");
omniout_str(ALWAYS, "glob_max_minutes:=3;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_y := proc(x)");
omniout_str(ALWAYS, "return(0.2 * x * x + 0.6 * 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 := 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[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 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[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_2D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_2D0[term] := 0.; term := term + 1
end do;
array_const_2D0[1] := 2.0;
array_const_0D2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D2[term] := 0.; term := term + 1
end do;
array_const_0D2[1] := 0.2;
array_const_0D3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D3[term] := 0.; term := term + 1
end do;
array_const_0D3[1] := 0.3;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
iiif := 0;
while iiif <= glob_max_terms do
jjjf := 0;
while jjjf <= glob_max_terms do
array_fact_1[iiif] := 0;
array_fact_2[iiif, jjjf] := 0;
jjjf := jjjf + 1
end do;
iiif := iiif + 1
end do;
x_start := 0.1;
x_end := 5.0;
array_y_init[1] := exact_soln_y(x_start);
glob_h := 0.05;
glob_look_poles := true;
glob_max_iter := 1000000;
glob_desired_digits_correct := 10;
glob_display_interval := 0.001;
glob_look_poles := true;
glob_max_iter := 10000000;
glob_max_minutes := 3;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
glob_abserr := expt(10.0, glob_log10_abserr);
glob_relerr := expt(10.0, glob_log10_relerr);
if 0. < glob_h then
glob_neg_h := false;
glob_display_interval := omniabs(glob_display_interval)
else
glob_neg_h := true;
glob_display_interval := -omniabs(glob_display_interval)
end if;
chk_data();
array_y_set_initial[1, 1] := true;
array_y_set_initial[1, 2] := false;
array_y_set_initial[1, 3] := false;
array_y_set_initial[1, 4] := false;
array_y_set_initial[1, 5] := false;
array_y_set_initial[1, 6] := false;
array_y_set_initial[1, 7] := false;
array_y_set_initial[1, 8] := false;
array_y_set_initial[1, 9] := false;
array_y_set_initial[1, 10] := false;
array_y_set_initial[1, 11] := false;
array_y_set_initial[1, 12] := false;
array_y_set_initial[1, 13] := false;
array_y_set_initial[1, 14] := false;
array_y_set_initial[1, 15] := false;
array_y_set_initial[1, 16] := false;
array_y_set_initial[1, 17] := false;
array_y_set_initial[1, 18] := false;
array_y_set_initial[1, 19] := false;
array_y_set_initial[1, 20] := false;
array_y_set_initial[1, 21] := false;
array_y_set_initial[1, 22] := false;
array_y_set_initial[1, 23] := false;
array_y_set_initial[1, 24] := false;
array_y_set_initial[1, 25] := false;
array_y_set_initial[1, 26] := false;
array_y_set_initial[1, 27] := false;
array_y_set_initial[1, 28] := false;
array_y_set_initial[1, 29] := false;
array_y_set_initial[1, 30] := false;
omniout_str(ALWAYS, "START of Optimize");
glob_check_sign := check_sign(x_start, x_end);
glob_h := check_sign(x_start, x_end);
if glob_display_interval < glob_h then glob_h := glob_display_interval
end if;
found_h := -1.0;
best_h := 0.;
min_value := glob_large_float;
est_answer := est_size_answer();
opt_iter := 1;
while opt_iter <= 20 and found_h < 0. do
omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, "");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
atomall();
est_needed_step_err :=
estimated_needed_step_error(x_start, x_end, glob_h, est_answer)
;
omniout_float(ALWAYS, "est_needed_step_err", 32,
est_needed_step_err, 16, "");
value3 := test_suggested_h();
omniout_float(ALWAYS, "value3", 32, value3, 32, "");
if value3 < est_needed_step_err and found_h < 0. then
best_h := glob_h; found_h := 1.0
end if;
omniout_float(ALWAYS, "best_h", 32, best_h, 32, "");
opt_iter := opt_iter + 1;
glob_h := glob_h*0.5
end do;
if 0. < found_h then glob_h := best_h
else omniout_str(ALWAYS,
"No increment to obtain desired accuracy found")
end if;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
if 0. < found_h then
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
glob_log10normmin := -glob_large_float;
if glob_small_float < omniabs(array_y_higher[1, 1]) then
tmp := omniabs(array_y_higher[1, 1]);
log10norm := log10(tmp);
if log10norm < glob_log10normmin then
glob_log10normmin := log10norm
end if
end if;
display_alot(current_iter);
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and
glob_check_sign*array_x[1] < glob_check_sign*x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
if reached_interval() then
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop")
end if;
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
atomall();
if glob_look_poles then check_for_pole() end if;
if reached_interval() then glob_next_display :=
glob_next_display + glob_display_interval
end if;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
order_diff := 1;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
term_no := glob_max_terms;
while 1 <= term_no do
array_y[term_no] := array_y_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y_higher[ord, term_no] :=
array_y_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do;
display_alot(current_iter)
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO, "diff ( y , x , 1 ) = 2.0 * (0.2 * x + 0.3);");
omniout_int(INFO, "Iterations ", 32,
glob_iter, 4, " ");
prog_report(x_start, x_end);
if glob_html_log then
logstart(html_log_file);
logitem_str(html_log_file, "2012-12-15T01:44:50-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"mult_c_lin");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = 2.0 * (0.2 * x + 0.3);");
logitem_float(html_log_file, x_start);
logitem_float(html_log_file, x_end);
logitem_float(html_log_file, array_x[1]);
logitem_float(html_log_file, glob_h);
logitem_integer(html_log_file, Digits);
logitem_good_digits(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_max_terms);
logitem_float(html_log_file, array_1st_rel_error[1]);
logitem_float(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_iter);
logitem_pole(html_log_file, array_type_pole[1]);
if array_type_pole[1] = 1 or array_type_pole[1] = 2 then
logitem_float(html_log_file, array_pole[1]);
logitem_float(html_log_file, array_pole[2]);
0
else
logitem_str(html_log_file, "NA");
logitem_str(html_log_file, "NA");
0
end if;
logitem_time(html_log_file, convfloat(glob_clock_sec));
if glob_percent_done < 100.0 then
logitem_time(html_log_file, convfloat(glob_total_exp_sec));
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 151 | ");
logitem_str(html_log_file, "mult_c_lin diffeq.mxt");
logitem_str(html_log_file, "mult_c_lin maple results");
logitem_str(html_log_file, "Languages compared");
logend(html_log_file)
end if;
if glob_html_log then fclose(html_log_file) end if
end if
end proc
> # End Function number 12
> main();
##############ECHO OF PROBLEM#################
##############temp/mult_c_linpostode.ode#################
diff ( y , x , 1 ) = 2.0 * (0.2 * x + 0.3);
!
#BEGIN FIRST INPUT BLOCK
Digits:=32;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 0.1;
x_end := 5.0 ;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_h := 0.05;
glob_look_poles := true;
glob_max_iter := 1000000;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_desired_digits_correct:=10;
glob_display_interval:=0.001;
glob_look_poles:=true;
glob_max_iter:=10000000;
glob_max_minutes:=3;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
return(0.2 * x * x + 0.6 * 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
max_value3 = 0
value3 = 0
best_h = 0.001
START of Soultion
x[1] = 0.1
y[1] (analytic) = 0.062
y[1] (numeric) = 0.062
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.101
y[1] (analytic) = 0.0626402
y[1] (numeric) = 0.0626402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.102
y[1] (analytic) = 0.0632808
y[1] (numeric) = 0.0632808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.103
y[1] (analytic) = 0.0639218
y[1] (numeric) = 0.0639218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.104
y[1] (analytic) = 0.0645632
y[1] (numeric) = 0.0645632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.105
y[1] (analytic) = 0.065205
y[1] (numeric) = 0.065205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.106
y[1] (analytic) = 0.0658472
y[1] (numeric) = 0.0658472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.107
y[1] (analytic) = 0.0664898
y[1] (numeric) = 0.0664898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.108
y[1] (analytic) = 0.0671328
y[1] (numeric) = 0.0671328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.109
y[1] (analytic) = 0.0677762
y[1] (numeric) = 0.0677762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.11
y[1] (analytic) = 0.06842
y[1] (numeric) = 0.06842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.111
y[1] (analytic) = 0.0690642
y[1] (numeric) = 0.0690642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.112
y[1] (analytic) = 0.0697088
y[1] (numeric) = 0.0697088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.113
y[1] (analytic) = 0.0703538
y[1] (numeric) = 0.0703538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.114
y[1] (analytic) = 0.0709992
y[1] (numeric) = 0.0709992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.115
y[1] (analytic) = 0.071645
y[1] (numeric) = 0.071645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.116
y[1] (analytic) = 0.0722912
y[1] (numeric) = 0.0722912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.117
y[1] (analytic) = 0.0729378
y[1] (numeric) = 0.0729378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.118
y[1] (analytic) = 0.0735848
y[1] (numeric) = 0.0735848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.119
y[1] (analytic) = 0.0742322
y[1] (numeric) = 0.0742322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.12
y[1] (analytic) = 0.07488
y[1] (numeric) = 0.07488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.121
y[1] (analytic) = 0.0755282
y[1] (numeric) = 0.0755282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.122
y[1] (analytic) = 0.0761768
y[1] (numeric) = 0.0761768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.123
y[1] (analytic) = 0.0768258
y[1] (numeric) = 0.0768258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.124
y[1] (analytic) = 0.0774752
y[1] (numeric) = 0.0774752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.125
y[1] (analytic) = 0.078125
y[1] (numeric) = 0.078125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.126
y[1] (analytic) = 0.0787752
y[1] (numeric) = 0.0787752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.127
y[1] (analytic) = 0.0794258
y[1] (numeric) = 0.0794258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.128
y[1] (analytic) = 0.0800768
y[1] (numeric) = 0.0800768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.129
y[1] (analytic) = 0.0807282
y[1] (numeric) = 0.0807282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.13
y[1] (analytic) = 0.08138
y[1] (numeric) = 0.08138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.131
y[1] (analytic) = 0.0820322
y[1] (numeric) = 0.0820322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.132
y[1] (analytic) = 0.0826848
y[1] (numeric) = 0.0826848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.133
y[1] (analytic) = 0.0833378
y[1] (numeric) = 0.0833378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.134
y[1] (analytic) = 0.0839912
y[1] (numeric) = 0.0839912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.135
y[1] (analytic) = 0.084645
y[1] (numeric) = 0.084645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.136
y[1] (analytic) = 0.0852992
y[1] (numeric) = 0.0852992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.137
y[1] (analytic) = 0.0859538
y[1] (numeric) = 0.0859538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.138
y[1] (analytic) = 0.0866088
y[1] (numeric) = 0.0866088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.139
y[1] (analytic) = 0.0872642
y[1] (numeric) = 0.0872642
absolute error = 0
relative error = 0 %
memory used=3.8MB, alloc=2.8MB, time=0.51
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.14
y[1] (analytic) = 0.08792
y[1] (numeric) = 0.08792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.141
y[1] (analytic) = 0.0885762
y[1] (numeric) = 0.0885762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.142
y[1] (analytic) = 0.0892328
y[1] (numeric) = 0.0892328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.143
y[1] (analytic) = 0.0898898
y[1] (numeric) = 0.0898898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.144
y[1] (analytic) = 0.0905472
y[1] (numeric) = 0.0905472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.145
y[1] (analytic) = 0.091205
y[1] (numeric) = 0.091205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.146
y[1] (analytic) = 0.0918632
y[1] (numeric) = 0.0918632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.147
y[1] (analytic) = 0.0925218
y[1] (numeric) = 0.0925218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.148
y[1] (analytic) = 0.0931808
y[1] (numeric) = 0.0931808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.149
y[1] (analytic) = 0.0938402
y[1] (numeric) = 0.0938402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.15
y[1] (analytic) = 0.0945
y[1] (numeric) = 0.0945
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.151
y[1] (analytic) = 0.0951602
y[1] (numeric) = 0.0951602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.152
y[1] (analytic) = 0.0958208
y[1] (numeric) = 0.0958208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.153
y[1] (analytic) = 0.0964818
y[1] (numeric) = 0.0964818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.154
y[1] (analytic) = 0.0971432
y[1] (numeric) = 0.0971432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.155
y[1] (analytic) = 0.097805
y[1] (numeric) = 0.097805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.156
y[1] (analytic) = 0.0984672
y[1] (numeric) = 0.0984672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.157
y[1] (analytic) = 0.0991298
y[1] (numeric) = 0.0991298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.158
y[1] (analytic) = 0.0997928
y[1] (numeric) = 0.0997928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.159
y[1] (analytic) = 0.1004562
y[1] (numeric) = 0.1004562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.16
y[1] (analytic) = 0.10112
y[1] (numeric) = 0.10112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.161
y[1] (analytic) = 0.1017842
y[1] (numeric) = 0.1017842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.162
y[1] (analytic) = 0.1024488
y[1] (numeric) = 0.1024488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.163
y[1] (analytic) = 0.1031138
y[1] (numeric) = 0.1031138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.164
y[1] (analytic) = 0.1037792
y[1] (numeric) = 0.1037792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.165
y[1] (analytic) = 0.104445
y[1] (numeric) = 0.104445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.166
y[1] (analytic) = 0.1051112
y[1] (numeric) = 0.1051112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.167
y[1] (analytic) = 0.1057778
y[1] (numeric) = 0.1057778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.168
y[1] (analytic) = 0.1064448
y[1] (numeric) = 0.1064448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.169
y[1] (analytic) = 0.1071122
y[1] (numeric) = 0.1071122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.17
y[1] (analytic) = 0.10778
y[1] (numeric) = 0.10778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.171
y[1] (analytic) = 0.1084482
y[1] (numeric) = 0.1084482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.172
y[1] (analytic) = 0.1091168
y[1] (numeric) = 0.1091168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.173
y[1] (analytic) = 0.1097858
y[1] (numeric) = 0.1097858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.174
y[1] (analytic) = 0.1104552
y[1] (numeric) = 0.1104552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.175
y[1] (analytic) = 0.111125
y[1] (numeric) = 0.111125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.176
y[1] (analytic) = 0.1117952
y[1] (numeric) = 0.1117952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.177
y[1] (analytic) = 0.1124658
y[1] (numeric) = 0.1124658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.178
y[1] (analytic) = 0.1131368
y[1] (numeric) = 0.1131368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.179
y[1] (analytic) = 0.1138082
y[1] (numeric) = 0.1138082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.18
y[1] (analytic) = 0.11448
y[1] (numeric) = 0.11448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.181
y[1] (analytic) = 0.1151522
y[1] (numeric) = 0.1151522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.182
y[1] (analytic) = 0.1158248
y[1] (numeric) = 0.1158248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.183
y[1] (analytic) = 0.1164978
y[1] (numeric) = 0.1164978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.184
y[1] (analytic) = 0.1171712
y[1] (numeric) = 0.1171712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.185
y[1] (analytic) = 0.117845
y[1] (numeric) = 0.117845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.186
y[1] (analytic) = 0.1185192
y[1] (numeric) = 0.1185192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.187
y[1] (analytic) = 0.1191938
y[1] (numeric) = 0.1191938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.188
y[1] (analytic) = 0.1198688
y[1] (numeric) = 0.1198688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.189
y[1] (analytic) = 0.1205442
y[1] (numeric) = 0.1205442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.19
y[1] (analytic) = 0.12122
y[1] (numeric) = 0.12122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.191
y[1] (analytic) = 0.1218962
y[1] (numeric) = 0.1218962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.192
y[1] (analytic) = 0.1225728
y[1] (numeric) = 0.1225728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.193
y[1] (analytic) = 0.1232498
y[1] (numeric) = 0.1232498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.194
y[1] (analytic) = 0.1239272
y[1] (numeric) = 0.1239272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.195
y[1] (analytic) = 0.124605
y[1] (numeric) = 0.124605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.196
y[1] (analytic) = 0.1252832
y[1] (numeric) = 0.1252832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.197
y[1] (analytic) = 0.1259618
y[1] (numeric) = 0.1259618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.198
y[1] (analytic) = 0.1266408
y[1] (numeric) = 0.1266408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.199
y[1] (analytic) = 0.1273202
y[1] (numeric) = 0.1273202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.2
y[1] (analytic) = 0.128
y[1] (numeric) = 0.128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.201
y[1] (analytic) = 0.1286802
y[1] (numeric) = 0.1286802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.202
y[1] (analytic) = 0.1293608
y[1] (numeric) = 0.1293608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.203
y[1] (analytic) = 0.1300418
y[1] (numeric) = 0.1300418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.204
y[1] (analytic) = 0.1307232
y[1] (numeric) = 0.1307232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=7.6MB, alloc=3.8MB, time=1.14
x[1] = 0.205
y[1] (analytic) = 0.131405
y[1] (numeric) = 0.131405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.206
y[1] (analytic) = 0.1320872
y[1] (numeric) = 0.1320872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.207
y[1] (analytic) = 0.1327698
y[1] (numeric) = 0.1327698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.208
y[1] (analytic) = 0.1334528
y[1] (numeric) = 0.1334528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.209
y[1] (analytic) = 0.1341362
y[1] (numeric) = 0.1341362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.21
y[1] (analytic) = 0.13482
y[1] (numeric) = 0.13482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.211
y[1] (analytic) = 0.1355042
y[1] (numeric) = 0.1355042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.212
y[1] (analytic) = 0.1361888
y[1] (numeric) = 0.1361888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.213
y[1] (analytic) = 0.1368738
y[1] (numeric) = 0.1368738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.214
y[1] (analytic) = 0.1375592
y[1] (numeric) = 0.1375592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.215
y[1] (analytic) = 0.138245
y[1] (numeric) = 0.138245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.216
y[1] (analytic) = 0.1389312
y[1] (numeric) = 0.1389312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.217
y[1] (analytic) = 0.1396178
y[1] (numeric) = 0.1396178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.218
y[1] (analytic) = 0.1403048
y[1] (numeric) = 0.1403048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.219
y[1] (analytic) = 0.1409922
y[1] (numeric) = 0.1409922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.22
y[1] (analytic) = 0.14168
y[1] (numeric) = 0.14168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.221
y[1] (analytic) = 0.1423682
y[1] (numeric) = 0.1423682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.222
y[1] (analytic) = 0.1430568
y[1] (numeric) = 0.1430568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.223
y[1] (analytic) = 0.1437458
y[1] (numeric) = 0.1437458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.224
y[1] (analytic) = 0.1444352
y[1] (numeric) = 0.1444352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.225
y[1] (analytic) = 0.145125
y[1] (numeric) = 0.145125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.226
y[1] (analytic) = 0.1458152
y[1] (numeric) = 0.1458152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.227
y[1] (analytic) = 0.1465058
y[1] (numeric) = 0.1465058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.228
y[1] (analytic) = 0.1471968
y[1] (numeric) = 0.1471968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.229
y[1] (analytic) = 0.1478882
y[1] (numeric) = 0.1478882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.23
y[1] (analytic) = 0.14858
y[1] (numeric) = 0.14858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.231
y[1] (analytic) = 0.1492722
y[1] (numeric) = 0.1492722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.232
y[1] (analytic) = 0.1499648
y[1] (numeric) = 0.1499648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.233
y[1] (analytic) = 0.1506578
y[1] (numeric) = 0.1506578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.234
y[1] (analytic) = 0.1513512
y[1] (numeric) = 0.1513512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.235
y[1] (analytic) = 0.152045
y[1] (numeric) = 0.152045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.236
y[1] (analytic) = 0.1527392
y[1] (numeric) = 0.1527392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.237
y[1] (analytic) = 0.1534338
y[1] (numeric) = 0.1534338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.238
y[1] (analytic) = 0.1541288
y[1] (numeric) = 0.1541288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.239
y[1] (analytic) = 0.1548242
y[1] (numeric) = 0.1548242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.24
y[1] (analytic) = 0.15552
y[1] (numeric) = 0.15552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.241
y[1] (analytic) = 0.1562162
y[1] (numeric) = 0.1562162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.242
y[1] (analytic) = 0.1569128
y[1] (numeric) = 0.1569128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.243
y[1] (analytic) = 0.1576098
y[1] (numeric) = 0.1576098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.244
y[1] (analytic) = 0.1583072
y[1] (numeric) = 0.1583072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.245
y[1] (analytic) = 0.159005
y[1] (numeric) = 0.159005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.246
y[1] (analytic) = 0.1597032
y[1] (numeric) = 0.1597032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.247
y[1] (analytic) = 0.1604018
y[1] (numeric) = 0.1604018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.248
y[1] (analytic) = 0.1611008
y[1] (numeric) = 0.1611008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.249
y[1] (analytic) = 0.1618002
y[1] (numeric) = 0.1618002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.25
y[1] (analytic) = 0.1625
y[1] (numeric) = 0.1625
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.251
y[1] (analytic) = 0.1632002
y[1] (numeric) = 0.1632002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.252
y[1] (analytic) = 0.1639008
y[1] (numeric) = 0.1639008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.253
y[1] (analytic) = 0.1646018
y[1] (numeric) = 0.1646018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.254
y[1] (analytic) = 0.1653032
y[1] (numeric) = 0.1653032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.255
y[1] (analytic) = 0.166005
y[1] (numeric) = 0.166005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.256
y[1] (analytic) = 0.1667072
y[1] (numeric) = 0.1667072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.257
y[1] (analytic) = 0.1674098
y[1] (numeric) = 0.1674098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.258
y[1] (analytic) = 0.1681128
y[1] (numeric) = 0.1681128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.259
y[1] (analytic) = 0.1688162
y[1] (numeric) = 0.1688162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.26
y[1] (analytic) = 0.16952
y[1] (numeric) = 0.16952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.261
y[1] (analytic) = 0.1702242
y[1] (numeric) = 0.1702242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.262
y[1] (analytic) = 0.1709288
y[1] (numeric) = 0.1709288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.263
y[1] (analytic) = 0.1716338
y[1] (numeric) = 0.1716338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.264
y[1] (analytic) = 0.1723392
y[1] (numeric) = 0.1723392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.265
y[1] (analytic) = 0.173045
y[1] (numeric) = 0.173045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.266
y[1] (analytic) = 0.1737512
y[1] (numeric) = 0.1737512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.267
y[1] (analytic) = 0.1744578
y[1] (numeric) = 0.1744578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.268
y[1] (analytic) = 0.1751648
y[1] (numeric) = 0.1751648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.269
y[1] (analytic) = 0.1758722
y[1] (numeric) = 0.1758722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.27
y[1] (analytic) = 0.17658
y[1] (numeric) = 0.17658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=3.8MB, time=1.79
NO POLE
x[1] = 0.271
y[1] (analytic) = 0.1772882
y[1] (numeric) = 0.1772882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.272
y[1] (analytic) = 0.1779968
y[1] (numeric) = 0.1779968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.273
y[1] (analytic) = 0.1787058
y[1] (numeric) = 0.1787058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.274
y[1] (analytic) = 0.1794152
y[1] (numeric) = 0.1794152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.275
y[1] (analytic) = 0.180125
y[1] (numeric) = 0.180125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.276
y[1] (analytic) = 0.1808352
y[1] (numeric) = 0.1808352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.277
y[1] (analytic) = 0.1815458
y[1] (numeric) = 0.1815458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.278
y[1] (analytic) = 0.1822568
y[1] (numeric) = 0.1822568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.279
y[1] (analytic) = 0.1829682
y[1] (numeric) = 0.1829682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.28
y[1] (analytic) = 0.18368
y[1] (numeric) = 0.18368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.281
y[1] (analytic) = 0.1843922
y[1] (numeric) = 0.1843922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.282
y[1] (analytic) = 0.1851048
y[1] (numeric) = 0.1851048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.283
y[1] (analytic) = 0.1858178
y[1] (numeric) = 0.1858178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.284
y[1] (analytic) = 0.1865312
y[1] (numeric) = 0.1865312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.285
y[1] (analytic) = 0.187245
y[1] (numeric) = 0.187245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.286
y[1] (analytic) = 0.1879592
y[1] (numeric) = 0.1879592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.287
y[1] (analytic) = 0.1886738
y[1] (numeric) = 0.1886738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.288
y[1] (analytic) = 0.1893888
y[1] (numeric) = 0.1893888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.289
y[1] (analytic) = 0.1901042
y[1] (numeric) = 0.1901042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.29
y[1] (analytic) = 0.19082
y[1] (numeric) = 0.19082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.291
y[1] (analytic) = 0.1915362
y[1] (numeric) = 0.1915362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.292
y[1] (analytic) = 0.1922528
y[1] (numeric) = 0.1922528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.293
y[1] (analytic) = 0.1929698
y[1] (numeric) = 0.1929698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.294
y[1] (analytic) = 0.1936872
y[1] (numeric) = 0.1936872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.295
y[1] (analytic) = 0.194405
y[1] (numeric) = 0.194405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.296
y[1] (analytic) = 0.1951232
y[1] (numeric) = 0.1951232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.297
y[1] (analytic) = 0.1958418
y[1] (numeric) = 0.1958418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.298
y[1] (analytic) = 0.1965608
y[1] (numeric) = 0.1965608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.299
y[1] (analytic) = 0.1972802
y[1] (numeric) = 0.1972802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.3
y[1] (analytic) = 0.198
y[1] (numeric) = 0.198
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.301
y[1] (analytic) = 0.1987202
y[1] (numeric) = 0.1987202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.302
y[1] (analytic) = 0.1994408
y[1] (numeric) = 0.1994408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.303
y[1] (analytic) = 0.2001618
y[1] (numeric) = 0.2001618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.304
y[1] (analytic) = 0.2008832
y[1] (numeric) = 0.2008832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.305
y[1] (analytic) = 0.201605
y[1] (numeric) = 0.201605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.306
y[1] (analytic) = 0.2023272
y[1] (numeric) = 0.2023272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.307
y[1] (analytic) = 0.2030498
y[1] (numeric) = 0.2030498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.308
y[1] (analytic) = 0.2037728
y[1] (numeric) = 0.2037728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.309
y[1] (analytic) = 0.2044962
y[1] (numeric) = 0.2044962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.31
y[1] (analytic) = 0.20522
y[1] (numeric) = 0.20522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.311
y[1] (analytic) = 0.2059442
y[1] (numeric) = 0.2059442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.312
y[1] (analytic) = 0.2066688
y[1] (numeric) = 0.2066688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.313
y[1] (analytic) = 0.2073938
y[1] (numeric) = 0.2073938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.314
y[1] (analytic) = 0.2081192
y[1] (numeric) = 0.2081192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.315
y[1] (analytic) = 0.208845
y[1] (numeric) = 0.208845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.316
y[1] (analytic) = 0.2095712
y[1] (numeric) = 0.2095712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.317
y[1] (analytic) = 0.2102978
y[1] (numeric) = 0.2102978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.318
y[1] (analytic) = 0.2110248
y[1] (numeric) = 0.2110248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.319
y[1] (analytic) = 0.2117522
y[1] (numeric) = 0.2117522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.32
y[1] (analytic) = 0.21248
y[1] (numeric) = 0.21248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.321
y[1] (analytic) = 0.2132082
y[1] (numeric) = 0.2132082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.322
y[1] (analytic) = 0.2139368
y[1] (numeric) = 0.2139368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.323
y[1] (analytic) = 0.2146658
y[1] (numeric) = 0.2146658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.324
y[1] (analytic) = 0.2153952
y[1] (numeric) = 0.2153952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.325
y[1] (analytic) = 0.216125
y[1] (numeric) = 0.216125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.326
y[1] (analytic) = 0.2168552
y[1] (numeric) = 0.2168552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.327
y[1] (analytic) = 0.2175858
y[1] (numeric) = 0.2175858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.328
y[1] (analytic) = 0.2183168
y[1] (numeric) = 0.2183168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.329
y[1] (analytic) = 0.2190482
y[1] (numeric) = 0.2190482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.33
y[1] (analytic) = 0.21978
y[1] (numeric) = 0.21978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.331
y[1] (analytic) = 0.2205122
y[1] (numeric) = 0.2205122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.332
y[1] (analytic) = 0.2212448
y[1] (numeric) = 0.2212448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.333
y[1] (analytic) = 0.2219778
y[1] (numeric) = 0.2219778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.334
y[1] (analytic) = 0.2227112
y[1] (numeric) = 0.2227112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.335
y[1] (analytic) = 0.223445
y[1] (numeric) = 0.223445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.336
y[1] (analytic) = 0.2241792
y[1] (numeric) = 0.2241792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
memory used=15.2MB, alloc=3.8MB, time=2.43
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.337
y[1] (analytic) = 0.2249138
y[1] (numeric) = 0.2249138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.338
y[1] (analytic) = 0.2256488
y[1] (numeric) = 0.2256488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.339
y[1] (analytic) = 0.2263842
y[1] (numeric) = 0.2263842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.34
y[1] (analytic) = 0.22712
y[1] (numeric) = 0.22712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.341
y[1] (analytic) = 0.2278562
y[1] (numeric) = 0.2278562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.342
y[1] (analytic) = 0.2285928
y[1] (numeric) = 0.2285928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.343
y[1] (analytic) = 0.2293298
y[1] (numeric) = 0.2293298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.344
y[1] (analytic) = 0.2300672
y[1] (numeric) = 0.2300672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.345
y[1] (analytic) = 0.230805
y[1] (numeric) = 0.230805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.346
y[1] (analytic) = 0.2315432
y[1] (numeric) = 0.2315432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.347
y[1] (analytic) = 0.2322818
y[1] (numeric) = 0.2322818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.348
y[1] (analytic) = 0.2330208
y[1] (numeric) = 0.2330208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.349
y[1] (analytic) = 0.2337602
y[1] (numeric) = 0.2337602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.35
y[1] (analytic) = 0.2345
y[1] (numeric) = 0.2345
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.351
y[1] (analytic) = 0.2352402
y[1] (numeric) = 0.2352402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.352
y[1] (analytic) = 0.2359808
y[1] (numeric) = 0.2359808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.353
y[1] (analytic) = 0.2367218
y[1] (numeric) = 0.2367218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.354
y[1] (analytic) = 0.2374632
y[1] (numeric) = 0.2374632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.355
y[1] (analytic) = 0.238205
y[1] (numeric) = 0.238205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.356
y[1] (analytic) = 0.2389472
y[1] (numeric) = 0.2389472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.357
y[1] (analytic) = 0.2396898
y[1] (numeric) = 0.2396898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.358
y[1] (analytic) = 0.2404328
y[1] (numeric) = 0.2404328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.359
y[1] (analytic) = 0.2411762
y[1] (numeric) = 0.2411762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.36
y[1] (analytic) = 0.24192
y[1] (numeric) = 0.24192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.361
y[1] (analytic) = 0.2426642
y[1] (numeric) = 0.2426642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.362
y[1] (analytic) = 0.2434088
y[1] (numeric) = 0.2434088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.363
y[1] (analytic) = 0.2441538
y[1] (numeric) = 0.2441538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.364
y[1] (analytic) = 0.2448992
y[1] (numeric) = 0.2448992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.365
y[1] (analytic) = 0.245645
y[1] (numeric) = 0.245645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.366
y[1] (analytic) = 0.2463912
y[1] (numeric) = 0.2463912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.367
y[1] (analytic) = 0.2471378
y[1] (numeric) = 0.2471378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.368
y[1] (analytic) = 0.2478848
y[1] (numeric) = 0.2478848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.369
y[1] (analytic) = 0.2486322
y[1] (numeric) = 0.2486322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.37
y[1] (analytic) = 0.24938
y[1] (numeric) = 0.24938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.371
y[1] (analytic) = 0.2501282
y[1] (numeric) = 0.2501282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.372
y[1] (analytic) = 0.2508768
y[1] (numeric) = 0.2508768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.373
y[1] (analytic) = 0.2516258
y[1] (numeric) = 0.2516258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.374
y[1] (analytic) = 0.2523752
y[1] (numeric) = 0.2523752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.375
y[1] (analytic) = 0.253125
y[1] (numeric) = 0.253125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.376
y[1] (analytic) = 0.2538752
y[1] (numeric) = 0.2538752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.377
y[1] (analytic) = 0.2546258
y[1] (numeric) = 0.2546258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.378
y[1] (analytic) = 0.2553768
y[1] (numeric) = 0.2553768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.379
y[1] (analytic) = 0.2561282
y[1] (numeric) = 0.2561282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.38
y[1] (analytic) = 0.25688
y[1] (numeric) = 0.25688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.381
y[1] (analytic) = 0.2576322
y[1] (numeric) = 0.2576322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.382
y[1] (analytic) = 0.2583848
y[1] (numeric) = 0.2583848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.383
y[1] (analytic) = 0.2591378
y[1] (numeric) = 0.2591378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.384
y[1] (analytic) = 0.2598912
y[1] (numeric) = 0.2598912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.385
y[1] (analytic) = 0.260645
y[1] (numeric) = 0.260645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.386
y[1] (analytic) = 0.2613992
y[1] (numeric) = 0.2613992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.387
y[1] (analytic) = 0.2621538
y[1] (numeric) = 0.2621538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.388
y[1] (analytic) = 0.2629088
y[1] (numeric) = 0.2629088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.389
y[1] (analytic) = 0.2636642
y[1] (numeric) = 0.2636642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.39
y[1] (analytic) = 0.26442
y[1] (numeric) = 0.26442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.391
y[1] (analytic) = 0.2651762
y[1] (numeric) = 0.2651762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.392
y[1] (analytic) = 0.2659328
y[1] (numeric) = 0.2659328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.393
y[1] (analytic) = 0.2666898
y[1] (numeric) = 0.2666898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.394
y[1] (analytic) = 0.2674472
y[1] (numeric) = 0.2674472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.395
y[1] (analytic) = 0.268205
y[1] (numeric) = 0.268205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.396
y[1] (analytic) = 0.2689632
y[1] (numeric) = 0.2689632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.397
y[1] (analytic) = 0.2697218
y[1] (numeric) = 0.2697218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.398
y[1] (analytic) = 0.2704808
y[1] (numeric) = 0.2704808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.399
y[1] (analytic) = 0.2712402
y[1] (numeric) = 0.2712402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.4
y[1] (analytic) = 0.272
y[1] (numeric) = 0.272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.401
y[1] (analytic) = 0.2727602
y[1] (numeric) = 0.2727602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.402
memory used=19.0MB, alloc=3.8MB, time=3.08
y[1] (analytic) = 0.2735208
y[1] (numeric) = 0.2735208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.403
y[1] (analytic) = 0.2742818
y[1] (numeric) = 0.2742818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.404
y[1] (analytic) = 0.2750432
y[1] (numeric) = 0.2750432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.405
y[1] (analytic) = 0.275805
y[1] (numeric) = 0.275805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.406
y[1] (analytic) = 0.2765672
y[1] (numeric) = 0.2765672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.407
y[1] (analytic) = 0.2773298
y[1] (numeric) = 0.2773298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.408
y[1] (analytic) = 0.2780928
y[1] (numeric) = 0.2780928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.409
y[1] (analytic) = 0.2788562
y[1] (numeric) = 0.2788562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.41
y[1] (analytic) = 0.27962
y[1] (numeric) = 0.27962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.411
y[1] (analytic) = 0.2803842
y[1] (numeric) = 0.2803842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.412
y[1] (analytic) = 0.2811488
y[1] (numeric) = 0.2811488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.413
y[1] (analytic) = 0.2819138
y[1] (numeric) = 0.2819138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.414
y[1] (analytic) = 0.2826792
y[1] (numeric) = 0.2826792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.415
y[1] (analytic) = 0.283445
y[1] (numeric) = 0.283445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.416
y[1] (analytic) = 0.2842112
y[1] (numeric) = 0.2842112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.417
y[1] (analytic) = 0.2849778
y[1] (numeric) = 0.2849778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.418
y[1] (analytic) = 0.2857448
y[1] (numeric) = 0.2857448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.419
y[1] (analytic) = 0.2865122
y[1] (numeric) = 0.2865122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.42
y[1] (analytic) = 0.28728
y[1] (numeric) = 0.28728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.421
y[1] (analytic) = 0.2880482
y[1] (numeric) = 0.2880482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.422
y[1] (analytic) = 0.2888168
y[1] (numeric) = 0.2888168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.423
y[1] (analytic) = 0.2895858
y[1] (numeric) = 0.2895858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.424
y[1] (analytic) = 0.2903552
y[1] (numeric) = 0.2903552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.425
y[1] (analytic) = 0.291125
y[1] (numeric) = 0.291125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.426
y[1] (analytic) = 0.2918952
y[1] (numeric) = 0.2918952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.427
y[1] (analytic) = 0.2926658
y[1] (numeric) = 0.2926658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.428
y[1] (analytic) = 0.2934368
y[1] (numeric) = 0.2934368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.429
y[1] (analytic) = 0.2942082
y[1] (numeric) = 0.2942082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.43
y[1] (analytic) = 0.29498
y[1] (numeric) = 0.29498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.431
y[1] (analytic) = 0.2957522
y[1] (numeric) = 0.2957522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.432
y[1] (analytic) = 0.2965248
y[1] (numeric) = 0.2965248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.433
y[1] (analytic) = 0.2972978
y[1] (numeric) = 0.2972978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.434
y[1] (analytic) = 0.2980712
y[1] (numeric) = 0.2980712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.435
y[1] (analytic) = 0.298845
y[1] (numeric) = 0.298845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.436
y[1] (analytic) = 0.2996192
y[1] (numeric) = 0.2996192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.437
y[1] (analytic) = 0.3003938
y[1] (numeric) = 0.3003938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.438
y[1] (analytic) = 0.3011688
y[1] (numeric) = 0.3011688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.439
y[1] (analytic) = 0.3019442
y[1] (numeric) = 0.3019442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.44
y[1] (analytic) = 0.30272
y[1] (numeric) = 0.30272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.441
y[1] (analytic) = 0.3034962
y[1] (numeric) = 0.3034962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.442
y[1] (analytic) = 0.3042728
y[1] (numeric) = 0.3042728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.443
y[1] (analytic) = 0.3050498
y[1] (numeric) = 0.3050498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.444
y[1] (analytic) = 0.3058272
y[1] (numeric) = 0.3058272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.445
y[1] (analytic) = 0.306605
y[1] (numeric) = 0.306605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.446
y[1] (analytic) = 0.3073832
y[1] (numeric) = 0.3073832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.447
y[1] (analytic) = 0.3081618
y[1] (numeric) = 0.3081618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.448
y[1] (analytic) = 0.3089408
y[1] (numeric) = 0.3089408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.449
y[1] (analytic) = 0.3097202
y[1] (numeric) = 0.3097202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.45
y[1] (analytic) = 0.3105
y[1] (numeric) = 0.3105
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.451
y[1] (analytic) = 0.3112802
y[1] (numeric) = 0.3112802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.452
y[1] (analytic) = 0.3120608
y[1] (numeric) = 0.3120608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.453
y[1] (analytic) = 0.3128418
y[1] (numeric) = 0.3128418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.454
y[1] (analytic) = 0.3136232
y[1] (numeric) = 0.3136232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.455
y[1] (analytic) = 0.314405
y[1] (numeric) = 0.314405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.456
y[1] (analytic) = 0.3151872
y[1] (numeric) = 0.3151872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.457
y[1] (analytic) = 0.3159698
y[1] (numeric) = 0.3159698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.458
y[1] (analytic) = 0.3167528
y[1] (numeric) = 0.3167528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.459
y[1] (analytic) = 0.3175362
y[1] (numeric) = 0.3175362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.46
y[1] (analytic) = 0.31832
y[1] (numeric) = 0.31832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.461
y[1] (analytic) = 0.3191042
y[1] (numeric) = 0.3191042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.462
y[1] (analytic) = 0.3198888
y[1] (numeric) = 0.3198888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.463
y[1] (analytic) = 0.3206738
y[1] (numeric) = 0.3206738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.464
y[1] (analytic) = 0.3214592
y[1] (numeric) = 0.3214592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.465
y[1] (analytic) = 0.322245
y[1] (numeric) = 0.322245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.466
y[1] (analytic) = 0.3230312
y[1] (numeric) = 0.3230312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.467
y[1] (analytic) = 0.3238178
y[1] (numeric) = 0.3238178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=22.8MB, alloc=3.8MB, time=3.72
x[1] = 0.468
y[1] (analytic) = 0.3246048
y[1] (numeric) = 0.3246048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.469
y[1] (analytic) = 0.3253922
y[1] (numeric) = 0.3253922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.47
y[1] (analytic) = 0.32618
y[1] (numeric) = 0.32618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.471
y[1] (analytic) = 0.3269682
y[1] (numeric) = 0.3269682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.472
y[1] (analytic) = 0.3277568
y[1] (numeric) = 0.3277568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.473
y[1] (analytic) = 0.3285458
y[1] (numeric) = 0.3285458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.474
y[1] (analytic) = 0.3293352
y[1] (numeric) = 0.3293352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.475
y[1] (analytic) = 0.330125
y[1] (numeric) = 0.330125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.476
y[1] (analytic) = 0.3309152
y[1] (numeric) = 0.3309152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.477
y[1] (analytic) = 0.3317058
y[1] (numeric) = 0.3317058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.478
y[1] (analytic) = 0.3324968
y[1] (numeric) = 0.3324968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.479
y[1] (analytic) = 0.3332882
y[1] (numeric) = 0.3332882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.48
y[1] (analytic) = 0.33408
y[1] (numeric) = 0.33408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.481
y[1] (analytic) = 0.3348722
y[1] (numeric) = 0.3348722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.482
y[1] (analytic) = 0.3356648
y[1] (numeric) = 0.3356648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.483
y[1] (analytic) = 0.3364578
y[1] (numeric) = 0.3364578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.484
y[1] (analytic) = 0.3372512
y[1] (numeric) = 0.3372512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.485
y[1] (analytic) = 0.338045
y[1] (numeric) = 0.338045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.486
y[1] (analytic) = 0.3388392
y[1] (numeric) = 0.3388392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.487
y[1] (analytic) = 0.3396338
y[1] (numeric) = 0.3396338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.488
y[1] (analytic) = 0.3404288
y[1] (numeric) = 0.3404288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.489
y[1] (analytic) = 0.3412242
y[1] (numeric) = 0.3412242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.49
y[1] (analytic) = 0.34202
y[1] (numeric) = 0.34202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.491
y[1] (analytic) = 0.3428162
y[1] (numeric) = 0.3428162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.492
y[1] (analytic) = 0.3436128
y[1] (numeric) = 0.3436128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.493
y[1] (analytic) = 0.3444098
y[1] (numeric) = 0.3444098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.494
y[1] (analytic) = 0.3452072
y[1] (numeric) = 0.3452072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.495
y[1] (analytic) = 0.346005
y[1] (numeric) = 0.346005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.496
y[1] (analytic) = 0.3468032
y[1] (numeric) = 0.3468032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.497
y[1] (analytic) = 0.3476018
y[1] (numeric) = 0.3476018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.498
y[1] (analytic) = 0.3484008
y[1] (numeric) = 0.3484008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.499
y[1] (analytic) = 0.3492002
y[1] (numeric) = 0.3492002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.5
y[1] (analytic) = 0.35
y[1] (numeric) = 0.35
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.501
y[1] (analytic) = 0.3508002
y[1] (numeric) = 0.3508002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.502
y[1] (analytic) = 0.3516008
y[1] (numeric) = 0.3516008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.503
y[1] (analytic) = 0.3524018
y[1] (numeric) = 0.3524018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.504
y[1] (analytic) = 0.3532032
y[1] (numeric) = 0.3532032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.505
y[1] (analytic) = 0.354005
y[1] (numeric) = 0.354005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.506
y[1] (analytic) = 0.3548072
y[1] (numeric) = 0.3548072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.507
y[1] (analytic) = 0.3556098
y[1] (numeric) = 0.3556098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.508
y[1] (analytic) = 0.3564128
y[1] (numeric) = 0.3564128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.509
y[1] (analytic) = 0.3572162
y[1] (numeric) = 0.3572162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.51
y[1] (analytic) = 0.35802
y[1] (numeric) = 0.35802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.511
y[1] (analytic) = 0.3588242
y[1] (numeric) = 0.3588242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.512
y[1] (analytic) = 0.3596288
y[1] (numeric) = 0.3596288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.513
y[1] (analytic) = 0.3604338
y[1] (numeric) = 0.3604338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.514
y[1] (analytic) = 0.3612392
y[1] (numeric) = 0.3612392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.515
y[1] (analytic) = 0.362045
y[1] (numeric) = 0.362045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.516
y[1] (analytic) = 0.3628512
y[1] (numeric) = 0.3628512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.517
y[1] (analytic) = 0.3636578
y[1] (numeric) = 0.3636578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.518
y[1] (analytic) = 0.3644648
y[1] (numeric) = 0.3644648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.519
y[1] (analytic) = 0.3652722
y[1] (numeric) = 0.3652722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.52
y[1] (analytic) = 0.36608
y[1] (numeric) = 0.36608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.521
y[1] (analytic) = 0.3668882
y[1] (numeric) = 0.3668882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.522
y[1] (analytic) = 0.3676968
y[1] (numeric) = 0.3676968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.523
y[1] (analytic) = 0.3685058
y[1] (numeric) = 0.3685058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.524
y[1] (analytic) = 0.3693152
y[1] (numeric) = 0.3693152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.525
y[1] (analytic) = 0.370125
y[1] (numeric) = 0.370125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.526
y[1] (analytic) = 0.3709352
y[1] (numeric) = 0.3709352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.527
y[1] (analytic) = 0.3717458
y[1] (numeric) = 0.3717458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.528
y[1] (analytic) = 0.3725568
y[1] (numeric) = 0.3725568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.529
y[1] (analytic) = 0.3733682
y[1] (numeric) = 0.3733682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.53
y[1] (analytic) = 0.37418
y[1] (numeric) = 0.37418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.531
y[1] (analytic) = 0.3749922
y[1] (numeric) = 0.3749922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.532
y[1] (analytic) = 0.3758048
y[1] (numeric) = 0.3758048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.533
y[1] (analytic) = 0.3766178
y[1] (numeric) = 0.3766178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=26.7MB, alloc=3.8MB, time=4.34
x[1] = 0.534
y[1] (analytic) = 0.3774312
y[1] (numeric) = 0.3774312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.535
y[1] (analytic) = 0.378245
y[1] (numeric) = 0.378245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.536
y[1] (analytic) = 0.3790592
y[1] (numeric) = 0.3790592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.537
y[1] (analytic) = 0.3798738
y[1] (numeric) = 0.3798738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.538
y[1] (analytic) = 0.3806888
y[1] (numeric) = 0.3806888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.539
y[1] (analytic) = 0.3815042
y[1] (numeric) = 0.3815042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.54
y[1] (analytic) = 0.38232
y[1] (numeric) = 0.38232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.541
y[1] (analytic) = 0.3831362
y[1] (numeric) = 0.3831362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.542
y[1] (analytic) = 0.3839528
y[1] (numeric) = 0.3839528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.543
y[1] (analytic) = 0.3847698
y[1] (numeric) = 0.3847698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.544
y[1] (analytic) = 0.3855872
y[1] (numeric) = 0.3855872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.545
y[1] (analytic) = 0.386405
y[1] (numeric) = 0.386405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.546
y[1] (analytic) = 0.3872232
y[1] (numeric) = 0.3872232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.547
y[1] (analytic) = 0.3880418
y[1] (numeric) = 0.3880418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.548
y[1] (analytic) = 0.3888608
y[1] (numeric) = 0.3888608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.549
y[1] (analytic) = 0.3896802
y[1] (numeric) = 0.3896802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.55
y[1] (analytic) = 0.3905
y[1] (numeric) = 0.3905
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.551
y[1] (analytic) = 0.3913202
y[1] (numeric) = 0.3913202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.552
y[1] (analytic) = 0.3921408
y[1] (numeric) = 0.3921408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.553
y[1] (analytic) = 0.3929618
y[1] (numeric) = 0.3929618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.554
y[1] (analytic) = 0.3937832
y[1] (numeric) = 0.3937832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.555
y[1] (analytic) = 0.394605
y[1] (numeric) = 0.394605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.556
y[1] (analytic) = 0.3954272
y[1] (numeric) = 0.3954272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.557
y[1] (analytic) = 0.3962498
y[1] (numeric) = 0.3962498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.558
y[1] (analytic) = 0.3970728
y[1] (numeric) = 0.3970728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.559
y[1] (analytic) = 0.3978962
y[1] (numeric) = 0.3978962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.56
y[1] (analytic) = 0.39872
y[1] (numeric) = 0.39872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.561
y[1] (analytic) = 0.3995442
y[1] (numeric) = 0.3995442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.562
y[1] (analytic) = 0.4003688
y[1] (numeric) = 0.4003688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.563
y[1] (analytic) = 0.4011938
y[1] (numeric) = 0.4011938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.564
y[1] (analytic) = 0.4020192
y[1] (numeric) = 0.4020192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.565
y[1] (analytic) = 0.402845
y[1] (numeric) = 0.402845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.566
y[1] (analytic) = 0.4036712
y[1] (numeric) = 0.4036712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.567
y[1] (analytic) = 0.4044978
y[1] (numeric) = 0.4044978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.568
y[1] (analytic) = 0.4053248
y[1] (numeric) = 0.4053248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.569
y[1] (analytic) = 0.4061522
y[1] (numeric) = 0.4061522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.57
y[1] (analytic) = 0.40698
y[1] (numeric) = 0.40698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.571
y[1] (analytic) = 0.4078082
y[1] (numeric) = 0.4078082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.572
y[1] (analytic) = 0.4086368
y[1] (numeric) = 0.4086368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.573
y[1] (analytic) = 0.4094658
y[1] (numeric) = 0.4094658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.574
y[1] (analytic) = 0.4102952
y[1] (numeric) = 0.4102952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.575
y[1] (analytic) = 0.411125
y[1] (numeric) = 0.411125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.576
y[1] (analytic) = 0.4119552
y[1] (numeric) = 0.4119552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.577
y[1] (analytic) = 0.4127858
y[1] (numeric) = 0.4127858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.578
y[1] (analytic) = 0.4136168
y[1] (numeric) = 0.4136168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.579
y[1] (analytic) = 0.4144482
y[1] (numeric) = 0.4144482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.58
y[1] (analytic) = 0.41528
y[1] (numeric) = 0.41528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.581
y[1] (analytic) = 0.4161122
y[1] (numeric) = 0.4161122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.582
y[1] (analytic) = 0.4169448
y[1] (numeric) = 0.4169448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.583
y[1] (analytic) = 0.4177778
y[1] (numeric) = 0.4177778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.584
y[1] (analytic) = 0.4186112
y[1] (numeric) = 0.4186112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.585
y[1] (analytic) = 0.419445
y[1] (numeric) = 0.419445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.586
y[1] (analytic) = 0.4202792
y[1] (numeric) = 0.4202792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.587
y[1] (analytic) = 0.4211138
y[1] (numeric) = 0.4211138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.588
y[1] (analytic) = 0.4219488
y[1] (numeric) = 0.4219488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.589
y[1] (analytic) = 0.4227842
y[1] (numeric) = 0.4227842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.59
y[1] (analytic) = 0.42362
y[1] (numeric) = 0.42362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.591
y[1] (analytic) = 0.4244562
y[1] (numeric) = 0.4244562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.592
y[1] (analytic) = 0.4252928
y[1] (numeric) = 0.4252928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.593
y[1] (analytic) = 0.4261298
y[1] (numeric) = 0.4261298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.594
y[1] (analytic) = 0.4269672
y[1] (numeric) = 0.4269672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.595
y[1] (analytic) = 0.427805
y[1] (numeric) = 0.427805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.596
y[1] (analytic) = 0.4286432
y[1] (numeric) = 0.4286432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.597
y[1] (analytic) = 0.4294818
y[1] (numeric) = 0.4294818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.598
y[1] (analytic) = 0.4303208
y[1] (numeric) = 0.4303208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.599
y[1] (analytic) = 0.4311602
y[1] (numeric) = 0.4311602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=30.5MB, alloc=3.8MB, time=4.96
x[1] = 0.6
y[1] (analytic) = 0.432
y[1] (numeric) = 0.432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.601
y[1] (analytic) = 0.4328402
y[1] (numeric) = 0.4328402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.602
y[1] (analytic) = 0.4336808
y[1] (numeric) = 0.4336808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.603
y[1] (analytic) = 0.4345218
y[1] (numeric) = 0.4345218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.604
y[1] (analytic) = 0.4353632
y[1] (numeric) = 0.4353632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.605
y[1] (analytic) = 0.436205
y[1] (numeric) = 0.436205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.606
y[1] (analytic) = 0.4370472
y[1] (numeric) = 0.4370472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.607
y[1] (analytic) = 0.4378898
y[1] (numeric) = 0.4378898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.608
y[1] (analytic) = 0.4387328
y[1] (numeric) = 0.4387328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.609
y[1] (analytic) = 0.4395762
y[1] (numeric) = 0.4395762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.61
y[1] (analytic) = 0.44042
y[1] (numeric) = 0.44042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.611
y[1] (analytic) = 0.4412642
y[1] (numeric) = 0.4412642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.612
y[1] (analytic) = 0.4421088
y[1] (numeric) = 0.4421088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.613
y[1] (analytic) = 0.4429538
y[1] (numeric) = 0.4429538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.614
y[1] (analytic) = 0.4437992
y[1] (numeric) = 0.4437992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.615
y[1] (analytic) = 0.444645
y[1] (numeric) = 0.444645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.616
y[1] (analytic) = 0.4454912
y[1] (numeric) = 0.4454912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.617
y[1] (analytic) = 0.4463378
y[1] (numeric) = 0.4463378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.618
y[1] (analytic) = 0.4471848
y[1] (numeric) = 0.4471848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.619
y[1] (analytic) = 0.4480322
y[1] (numeric) = 0.4480322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.62
y[1] (analytic) = 0.44888
y[1] (numeric) = 0.44888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.621
y[1] (analytic) = 0.4497282
y[1] (numeric) = 0.4497282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.622
y[1] (analytic) = 0.4505768
y[1] (numeric) = 0.4505768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.623
y[1] (analytic) = 0.4514258
y[1] (numeric) = 0.4514258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.624
y[1] (analytic) = 0.4522752
y[1] (numeric) = 0.4522752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.625
y[1] (analytic) = 0.453125
y[1] (numeric) = 0.453125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.626
y[1] (analytic) = 0.4539752
y[1] (numeric) = 0.4539752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.627
y[1] (analytic) = 0.4548258
y[1] (numeric) = 0.4548258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.628
y[1] (analytic) = 0.4556768
y[1] (numeric) = 0.4556768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.629
y[1] (analytic) = 0.4565282
y[1] (numeric) = 0.4565282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.63
y[1] (analytic) = 0.45738
y[1] (numeric) = 0.45738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.631
y[1] (analytic) = 0.4582322
y[1] (numeric) = 0.4582322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.632
y[1] (analytic) = 0.4590848
y[1] (numeric) = 0.4590848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.633
y[1] (analytic) = 0.4599378
y[1] (numeric) = 0.4599378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.634
y[1] (analytic) = 0.4607912
y[1] (numeric) = 0.4607912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.635
y[1] (analytic) = 0.461645
y[1] (numeric) = 0.461645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.636
y[1] (analytic) = 0.4624992
y[1] (numeric) = 0.4624992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.637
y[1] (analytic) = 0.4633538
y[1] (numeric) = 0.4633538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.638
y[1] (analytic) = 0.4642088
y[1] (numeric) = 0.4642088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.639
y[1] (analytic) = 0.4650642
y[1] (numeric) = 0.4650642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.64
y[1] (analytic) = 0.46592
y[1] (numeric) = 0.46592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.641
y[1] (analytic) = 0.4667762
y[1] (numeric) = 0.4667762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.642
y[1] (analytic) = 0.4676328
y[1] (numeric) = 0.4676328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.643
y[1] (analytic) = 0.4684898
y[1] (numeric) = 0.4684898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.644
y[1] (analytic) = 0.4693472
y[1] (numeric) = 0.4693472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.645
y[1] (analytic) = 0.470205
y[1] (numeric) = 0.470205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.646
y[1] (analytic) = 0.4710632
y[1] (numeric) = 0.4710632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.647
y[1] (analytic) = 0.4719218
y[1] (numeric) = 0.4719218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.648
y[1] (analytic) = 0.4727808
y[1] (numeric) = 0.4727808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.649
y[1] (analytic) = 0.4736402
y[1] (numeric) = 0.4736402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.65
y[1] (analytic) = 0.4745
y[1] (numeric) = 0.4745
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.651
y[1] (analytic) = 0.4753602
y[1] (numeric) = 0.4753602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.652
y[1] (analytic) = 0.4762208
y[1] (numeric) = 0.4762208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.653
y[1] (analytic) = 0.4770818
y[1] (numeric) = 0.4770818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.654
y[1] (analytic) = 0.4779432
y[1] (numeric) = 0.4779432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.655
y[1] (analytic) = 0.478805
y[1] (numeric) = 0.478805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.656
y[1] (analytic) = 0.4796672
y[1] (numeric) = 0.4796672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.657
y[1] (analytic) = 0.4805298
y[1] (numeric) = 0.4805298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.658
y[1] (analytic) = 0.4813928
y[1] (numeric) = 0.4813928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.659
y[1] (analytic) = 0.4822562
y[1] (numeric) = 0.4822562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.66
y[1] (analytic) = 0.48312
y[1] (numeric) = 0.48312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.661
y[1] (analytic) = 0.4839842
y[1] (numeric) = 0.4839842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.662
y[1] (analytic) = 0.4848488
y[1] (numeric) = 0.4848488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.663
y[1] (analytic) = 0.4857138
y[1] (numeric) = 0.4857138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.664
y[1] (analytic) = 0.4865792
y[1] (numeric) = 0.4865792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.665
y[1] (analytic) = 0.487445
y[1] (numeric) = 0.487445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=34.3MB, alloc=3.8MB, time=5.59
x[1] = 0.666
y[1] (analytic) = 0.4883112
y[1] (numeric) = 0.4883112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.667
y[1] (analytic) = 0.4891778
y[1] (numeric) = 0.4891778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.668
y[1] (analytic) = 0.4900448
y[1] (numeric) = 0.4900448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.669
y[1] (analytic) = 0.4909122
y[1] (numeric) = 0.4909122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.67
y[1] (analytic) = 0.49178
y[1] (numeric) = 0.49178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.671
y[1] (analytic) = 0.4926482
y[1] (numeric) = 0.4926482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.672
y[1] (analytic) = 0.4935168
y[1] (numeric) = 0.4935168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.673
y[1] (analytic) = 0.4943858
y[1] (numeric) = 0.4943858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.674
y[1] (analytic) = 0.4952552
y[1] (numeric) = 0.4952552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.675
y[1] (analytic) = 0.496125
y[1] (numeric) = 0.496125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.676
y[1] (analytic) = 0.4969952
y[1] (numeric) = 0.4969952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.677
y[1] (analytic) = 0.4978658
y[1] (numeric) = 0.4978658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.678
y[1] (analytic) = 0.4987368
y[1] (numeric) = 0.4987368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.679
y[1] (analytic) = 0.4996082
y[1] (numeric) = 0.4996082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.68
y[1] (analytic) = 0.50048
y[1] (numeric) = 0.50048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.681
y[1] (analytic) = 0.5013522
y[1] (numeric) = 0.5013522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.682
y[1] (analytic) = 0.5022248
y[1] (numeric) = 0.5022248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.683
y[1] (analytic) = 0.5030978
y[1] (numeric) = 0.5030978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.684
y[1] (analytic) = 0.5039712
y[1] (numeric) = 0.5039712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.685
y[1] (analytic) = 0.504845
y[1] (numeric) = 0.504845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.686
y[1] (analytic) = 0.5057192
y[1] (numeric) = 0.5057192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.687
y[1] (analytic) = 0.5065938
y[1] (numeric) = 0.5065938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.688
y[1] (analytic) = 0.5074688
y[1] (numeric) = 0.5074688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.689
y[1] (analytic) = 0.5083442
y[1] (numeric) = 0.5083442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.69
y[1] (analytic) = 0.50922
y[1] (numeric) = 0.50922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.691
y[1] (analytic) = 0.5100962
y[1] (numeric) = 0.5100962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.692
y[1] (analytic) = 0.5109728
y[1] (numeric) = 0.5109728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.693
y[1] (analytic) = 0.5118498
y[1] (numeric) = 0.5118498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.694
y[1] (analytic) = 0.5127272
y[1] (numeric) = 0.5127272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.695
y[1] (analytic) = 0.513605
y[1] (numeric) = 0.513605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.696
y[1] (analytic) = 0.5144832
y[1] (numeric) = 0.5144832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.697
y[1] (analytic) = 0.5153618
y[1] (numeric) = 0.5153618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.698
y[1] (analytic) = 0.5162408
y[1] (numeric) = 0.5162408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.699
y[1] (analytic) = 0.5171202
y[1] (numeric) = 0.5171202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.7
y[1] (analytic) = 0.518
y[1] (numeric) = 0.518
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.701
y[1] (analytic) = 0.5188802
y[1] (numeric) = 0.5188802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.702
y[1] (analytic) = 0.5197608
y[1] (numeric) = 0.5197608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.703
y[1] (analytic) = 0.5206418
y[1] (numeric) = 0.5206418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.704
y[1] (analytic) = 0.5215232
y[1] (numeric) = 0.5215232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.705
y[1] (analytic) = 0.522405
y[1] (numeric) = 0.522405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.706
y[1] (analytic) = 0.5232872
y[1] (numeric) = 0.5232872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.707
y[1] (analytic) = 0.5241698
y[1] (numeric) = 0.5241698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.708
y[1] (analytic) = 0.5250528
y[1] (numeric) = 0.5250528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.709
y[1] (analytic) = 0.5259362
y[1] (numeric) = 0.5259362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.71
y[1] (analytic) = 0.52682
y[1] (numeric) = 0.52682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.711
y[1] (analytic) = 0.5277042
y[1] (numeric) = 0.5277042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.712
y[1] (analytic) = 0.5285888
y[1] (numeric) = 0.5285888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.713
y[1] (analytic) = 0.5294738
y[1] (numeric) = 0.5294738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.714
y[1] (analytic) = 0.5303592
y[1] (numeric) = 0.5303592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.715
y[1] (analytic) = 0.531245
y[1] (numeric) = 0.531245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.716
y[1] (analytic) = 0.5321312
y[1] (numeric) = 0.5321312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.717
y[1] (analytic) = 0.5330178
y[1] (numeric) = 0.5330178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.718
y[1] (analytic) = 0.5339048
y[1] (numeric) = 0.5339048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.719
y[1] (analytic) = 0.5347922
y[1] (numeric) = 0.5347922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.72
y[1] (analytic) = 0.53568
y[1] (numeric) = 0.53568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.721
y[1] (analytic) = 0.5365682
y[1] (numeric) = 0.5365682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.722
y[1] (analytic) = 0.5374568
y[1] (numeric) = 0.5374568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.723
y[1] (analytic) = 0.5383458
y[1] (numeric) = 0.5383458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.724
y[1] (analytic) = 0.5392352
y[1] (numeric) = 0.5392352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.725
y[1] (analytic) = 0.540125
y[1] (numeric) = 0.540125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.726
y[1] (analytic) = 0.5410152
y[1] (numeric) = 0.5410152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.727
y[1] (analytic) = 0.5419058
y[1] (numeric) = 0.5419058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.728
y[1] (analytic) = 0.5427968
y[1] (numeric) = 0.5427968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.729
y[1] (analytic) = 0.5436882
y[1] (numeric) = 0.5436882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.73
y[1] (analytic) = 0.54458
y[1] (numeric) = 0.54458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.731
y[1] (analytic) = 0.5454722
y[1] (numeric) = 0.5454722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=38.1MB, alloc=3.8MB, time=6.22
x[1] = 0.732
y[1] (analytic) = 0.5463648
y[1] (numeric) = 0.5463648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.733
y[1] (analytic) = 0.5472578
y[1] (numeric) = 0.5472578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.734
y[1] (analytic) = 0.5481512
y[1] (numeric) = 0.5481512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.735
y[1] (analytic) = 0.549045
y[1] (numeric) = 0.549045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.736
y[1] (analytic) = 0.5499392
y[1] (numeric) = 0.5499392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.737
y[1] (analytic) = 0.5508338
y[1] (numeric) = 0.5508338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.738
y[1] (analytic) = 0.5517288
y[1] (numeric) = 0.5517288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.739
y[1] (analytic) = 0.5526242
y[1] (numeric) = 0.5526242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.74
y[1] (analytic) = 0.55352
y[1] (numeric) = 0.55352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.741
y[1] (analytic) = 0.5544162
y[1] (numeric) = 0.5544162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.742
y[1] (analytic) = 0.5553128
y[1] (numeric) = 0.5553128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.743
y[1] (analytic) = 0.5562098
y[1] (numeric) = 0.5562098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.744
y[1] (analytic) = 0.5571072
y[1] (numeric) = 0.5571072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.745
y[1] (analytic) = 0.558005
y[1] (numeric) = 0.558005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.746
y[1] (analytic) = 0.5589032
y[1] (numeric) = 0.5589032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.747
y[1] (analytic) = 0.5598018
y[1] (numeric) = 0.5598018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.748
y[1] (analytic) = 0.5607008
y[1] (numeric) = 0.5607008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.749
y[1] (analytic) = 0.5616002
y[1] (numeric) = 0.5616002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.75
y[1] (analytic) = 0.5625
y[1] (numeric) = 0.5625
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.751
y[1] (analytic) = 0.5634002
y[1] (numeric) = 0.5634002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.752
y[1] (analytic) = 0.5643008
y[1] (numeric) = 0.5643008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.753
y[1] (analytic) = 0.5652018
y[1] (numeric) = 0.5652018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.754
y[1] (analytic) = 0.5661032
y[1] (numeric) = 0.5661032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.755
y[1] (analytic) = 0.567005
y[1] (numeric) = 0.567005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.756
y[1] (analytic) = 0.5679072
y[1] (numeric) = 0.5679072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.757
y[1] (analytic) = 0.5688098
y[1] (numeric) = 0.5688098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.758
y[1] (analytic) = 0.5697128
y[1] (numeric) = 0.5697128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.759
y[1] (analytic) = 0.5706162
y[1] (numeric) = 0.5706162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.76
y[1] (analytic) = 0.57152
y[1] (numeric) = 0.57152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.761
y[1] (analytic) = 0.5724242
y[1] (numeric) = 0.5724242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.762
y[1] (analytic) = 0.5733288
y[1] (numeric) = 0.5733288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.763
y[1] (analytic) = 0.5742338
y[1] (numeric) = 0.5742338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.764
y[1] (analytic) = 0.5751392
y[1] (numeric) = 0.5751392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.765
y[1] (analytic) = 0.576045
y[1] (numeric) = 0.576045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.766
y[1] (analytic) = 0.5769512
y[1] (numeric) = 0.5769512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.767
y[1] (analytic) = 0.5778578
y[1] (numeric) = 0.5778578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.768
y[1] (analytic) = 0.5787648
y[1] (numeric) = 0.5787648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.769
y[1] (analytic) = 0.5796722
y[1] (numeric) = 0.5796722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.77
y[1] (analytic) = 0.58058
y[1] (numeric) = 0.58058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.771
y[1] (analytic) = 0.5814882
y[1] (numeric) = 0.5814882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.772
y[1] (analytic) = 0.5823968
y[1] (numeric) = 0.5823968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.773
y[1] (analytic) = 0.5833058
y[1] (numeric) = 0.5833058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.774
y[1] (analytic) = 0.5842152
y[1] (numeric) = 0.5842152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.775
y[1] (analytic) = 0.585125
y[1] (numeric) = 0.585125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.776
y[1] (analytic) = 0.5860352
y[1] (numeric) = 0.5860352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.777
y[1] (analytic) = 0.5869458
y[1] (numeric) = 0.5869458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.778
y[1] (analytic) = 0.5878568
y[1] (numeric) = 0.5878568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.779
y[1] (analytic) = 0.5887682
y[1] (numeric) = 0.5887682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.78
y[1] (analytic) = 0.58968
y[1] (numeric) = 0.58968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.781
y[1] (analytic) = 0.5905922
y[1] (numeric) = 0.5905922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.782
y[1] (analytic) = 0.5915048
y[1] (numeric) = 0.5915048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.783
y[1] (analytic) = 0.5924178
y[1] (numeric) = 0.5924178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.784
y[1] (analytic) = 0.5933312
y[1] (numeric) = 0.5933312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.785
y[1] (analytic) = 0.594245
y[1] (numeric) = 0.594245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.786
y[1] (analytic) = 0.5951592
y[1] (numeric) = 0.5951592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.787
y[1] (analytic) = 0.5960738
y[1] (numeric) = 0.5960738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.788
y[1] (analytic) = 0.5969888
y[1] (numeric) = 0.5969888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.789
y[1] (analytic) = 0.5979042
y[1] (numeric) = 0.5979042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.79
y[1] (analytic) = 0.59882
y[1] (numeric) = 0.59882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.791
y[1] (analytic) = 0.5997362
y[1] (numeric) = 0.5997362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.792
y[1] (analytic) = 0.6006528
y[1] (numeric) = 0.6006528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.793
y[1] (analytic) = 0.6015698
y[1] (numeric) = 0.6015698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.794
y[1] (analytic) = 0.6024872
y[1] (numeric) = 0.6024872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.795
y[1] (analytic) = 0.603405
y[1] (numeric) = 0.603405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.796
y[1] (analytic) = 0.6043232
y[1] (numeric) = 0.6043232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.797
y[1] (analytic) = 0.6052418
y[1] (numeric) = 0.6052418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=41.9MB, alloc=3.8MB, time=6.85
x[1] = 0.798
y[1] (analytic) = 0.6061608
y[1] (numeric) = 0.6061608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.799
y[1] (analytic) = 0.6070802
y[1] (numeric) = 0.6070802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.8
y[1] (analytic) = 0.608
y[1] (numeric) = 0.608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.801
y[1] (analytic) = 0.6089202
y[1] (numeric) = 0.6089202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.802
y[1] (analytic) = 0.6098408
y[1] (numeric) = 0.6098408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.803
y[1] (analytic) = 0.6107618
y[1] (numeric) = 0.6107618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.804
y[1] (analytic) = 0.6116832
y[1] (numeric) = 0.6116832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.805
y[1] (analytic) = 0.612605
y[1] (numeric) = 0.612605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.806
y[1] (analytic) = 0.6135272
y[1] (numeric) = 0.6135272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.807
y[1] (analytic) = 0.6144498
y[1] (numeric) = 0.6144498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.808
y[1] (analytic) = 0.6153728
y[1] (numeric) = 0.6153728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.809
y[1] (analytic) = 0.6162962
y[1] (numeric) = 0.6162962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.81
y[1] (analytic) = 0.61722
y[1] (numeric) = 0.61722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.811
y[1] (analytic) = 0.6181442
y[1] (numeric) = 0.6181442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.812
y[1] (analytic) = 0.6190688
y[1] (numeric) = 0.6190688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.813
y[1] (analytic) = 0.6199938
y[1] (numeric) = 0.6199938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.814
y[1] (analytic) = 0.6209192
y[1] (numeric) = 0.6209192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.815
y[1] (analytic) = 0.621845
y[1] (numeric) = 0.621845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.816
y[1] (analytic) = 0.6227712
y[1] (numeric) = 0.6227712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.817
y[1] (analytic) = 0.6236978
y[1] (numeric) = 0.6236978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.818
y[1] (analytic) = 0.6246248
y[1] (numeric) = 0.6246248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.819
y[1] (analytic) = 0.6255522
y[1] (numeric) = 0.6255522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.82
y[1] (analytic) = 0.62648
y[1] (numeric) = 0.62648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.821
y[1] (analytic) = 0.6274082
y[1] (numeric) = 0.6274082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.822
y[1] (analytic) = 0.6283368
y[1] (numeric) = 0.6283368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.823
y[1] (analytic) = 0.6292658
y[1] (numeric) = 0.6292658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.824
y[1] (analytic) = 0.6301952
y[1] (numeric) = 0.6301952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.825
y[1] (analytic) = 0.631125
y[1] (numeric) = 0.631125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.826
y[1] (analytic) = 0.6320552
y[1] (numeric) = 0.6320552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.827
y[1] (analytic) = 0.6329858
y[1] (numeric) = 0.6329858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.828
y[1] (analytic) = 0.6339168
y[1] (numeric) = 0.6339168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.829
y[1] (analytic) = 0.6348482
y[1] (numeric) = 0.6348482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.83
y[1] (analytic) = 0.63578
y[1] (numeric) = 0.63578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.831
y[1] (analytic) = 0.6367122
y[1] (numeric) = 0.6367122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.832
y[1] (analytic) = 0.6376448
y[1] (numeric) = 0.6376448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.833
y[1] (analytic) = 0.6385778
y[1] (numeric) = 0.6385778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.834
y[1] (analytic) = 0.6395112
y[1] (numeric) = 0.6395112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.835
y[1] (analytic) = 0.640445
y[1] (numeric) = 0.640445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.836
y[1] (analytic) = 0.6413792
y[1] (numeric) = 0.6413792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.837
y[1] (analytic) = 0.6423138
y[1] (numeric) = 0.6423138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.838
y[1] (analytic) = 0.6432488
y[1] (numeric) = 0.6432488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.839
y[1] (analytic) = 0.6441842
y[1] (numeric) = 0.6441842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.84
y[1] (analytic) = 0.64512
y[1] (numeric) = 0.64512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.841
y[1] (analytic) = 0.6460562
y[1] (numeric) = 0.6460562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.842
y[1] (analytic) = 0.6469928
y[1] (numeric) = 0.6469928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.843
y[1] (analytic) = 0.6479298
y[1] (numeric) = 0.6479298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.844
y[1] (analytic) = 0.6488672
y[1] (numeric) = 0.6488672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.845
y[1] (analytic) = 0.649805
y[1] (numeric) = 0.649805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.846
y[1] (analytic) = 0.6507432
y[1] (numeric) = 0.6507432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.847
y[1] (analytic) = 0.6516818
y[1] (numeric) = 0.6516818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.848
y[1] (analytic) = 0.6526208
y[1] (numeric) = 0.6526208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.849
y[1] (analytic) = 0.6535602
y[1] (numeric) = 0.6535602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.85
y[1] (analytic) = 0.6545
y[1] (numeric) = 0.6545
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.851
y[1] (analytic) = 0.6554402
y[1] (numeric) = 0.6554402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.852
y[1] (analytic) = 0.6563808
y[1] (numeric) = 0.6563808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.853
y[1] (analytic) = 0.6573218
y[1] (numeric) = 0.6573218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.854
y[1] (analytic) = 0.6582632
y[1] (numeric) = 0.6582632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.855
y[1] (analytic) = 0.659205
y[1] (numeric) = 0.659205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.856
y[1] (analytic) = 0.6601472
y[1] (numeric) = 0.6601472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.857
y[1] (analytic) = 0.6610898
y[1] (numeric) = 0.6610898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.858
y[1] (analytic) = 0.6620328
y[1] (numeric) = 0.6620328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.859
y[1] (analytic) = 0.6629762
y[1] (numeric) = 0.6629762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.86
y[1] (analytic) = 0.66392
y[1] (numeric) = 0.66392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.861
y[1] (analytic) = 0.6648642
y[1] (numeric) = 0.6648642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.862
y[1] (analytic) = 0.6658088
y[1] (numeric) = 0.6658088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.863
y[1] (analytic) = 0.6667538
y[1] (numeric) = 0.6667538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=45.7MB, alloc=3.8MB, time=7.48
x[1] = 0.864
y[1] (analytic) = 0.6676992
y[1] (numeric) = 0.6676992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.865
y[1] (analytic) = 0.668645
y[1] (numeric) = 0.668645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.866
y[1] (analytic) = 0.6695912
y[1] (numeric) = 0.6695912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.867
y[1] (analytic) = 0.6705378
y[1] (numeric) = 0.6705378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.868
y[1] (analytic) = 0.6714848
y[1] (numeric) = 0.6714848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.869
y[1] (analytic) = 0.6724322
y[1] (numeric) = 0.6724322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.87
y[1] (analytic) = 0.67338
y[1] (numeric) = 0.67338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.871
y[1] (analytic) = 0.6743282
y[1] (numeric) = 0.6743282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.872
y[1] (analytic) = 0.6752768
y[1] (numeric) = 0.6752768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.873
y[1] (analytic) = 0.6762258
y[1] (numeric) = 0.6762258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.874
y[1] (analytic) = 0.6771752
y[1] (numeric) = 0.6771752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.875
y[1] (analytic) = 0.678125
y[1] (numeric) = 0.678125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.876
y[1] (analytic) = 0.6790752
y[1] (numeric) = 0.6790752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.877
y[1] (analytic) = 0.6800258
y[1] (numeric) = 0.6800258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.878
y[1] (analytic) = 0.6809768
y[1] (numeric) = 0.6809768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.879
y[1] (analytic) = 0.6819282
y[1] (numeric) = 0.6819282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.88
y[1] (analytic) = 0.68288
y[1] (numeric) = 0.68288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.881
y[1] (analytic) = 0.6838322
y[1] (numeric) = 0.6838322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.882
y[1] (analytic) = 0.6847848
y[1] (numeric) = 0.6847848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.883
y[1] (analytic) = 0.6857378
y[1] (numeric) = 0.6857378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.884
y[1] (analytic) = 0.6866912
y[1] (numeric) = 0.6866912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.885
y[1] (analytic) = 0.687645
y[1] (numeric) = 0.687645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.886
y[1] (analytic) = 0.6885992
y[1] (numeric) = 0.6885992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.887
y[1] (analytic) = 0.6895538
y[1] (numeric) = 0.6895538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.888
y[1] (analytic) = 0.6905088
y[1] (numeric) = 0.6905088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.889
y[1] (analytic) = 0.6914642
y[1] (numeric) = 0.6914642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.89
y[1] (analytic) = 0.69242
y[1] (numeric) = 0.69242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.891
y[1] (analytic) = 0.6933762
y[1] (numeric) = 0.6933762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.892
y[1] (analytic) = 0.6943328
y[1] (numeric) = 0.6943328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.893
y[1] (analytic) = 0.6952898
y[1] (numeric) = 0.6952898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.894
y[1] (analytic) = 0.6962472
y[1] (numeric) = 0.6962472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.895
y[1] (analytic) = 0.697205
y[1] (numeric) = 0.697205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.896
y[1] (analytic) = 0.6981632
y[1] (numeric) = 0.6981632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.897
y[1] (analytic) = 0.6991218
y[1] (numeric) = 0.6991218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.898
y[1] (analytic) = 0.7000808
y[1] (numeric) = 0.7000808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.899
y[1] (analytic) = 0.7010402
y[1] (numeric) = 0.7010402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.9
y[1] (analytic) = 0.702
y[1] (numeric) = 0.702
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.901
y[1] (analytic) = 0.7029602
y[1] (numeric) = 0.7029602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.902
y[1] (analytic) = 0.7039208
y[1] (numeric) = 0.7039208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.903
y[1] (analytic) = 0.7048818
y[1] (numeric) = 0.7048818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.904
y[1] (analytic) = 0.7058432
y[1] (numeric) = 0.7058432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.905
y[1] (analytic) = 0.706805
y[1] (numeric) = 0.706805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.906
y[1] (analytic) = 0.7077672
y[1] (numeric) = 0.7077672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.907
y[1] (analytic) = 0.7087298
y[1] (numeric) = 0.7087298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.908
y[1] (analytic) = 0.7096928
y[1] (numeric) = 0.7096928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.909
y[1] (analytic) = 0.7106562
y[1] (numeric) = 0.7106562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.91
y[1] (analytic) = 0.71162
y[1] (numeric) = 0.71162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.911
y[1] (analytic) = 0.7125842
y[1] (numeric) = 0.7125842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.912
y[1] (analytic) = 0.7135488
y[1] (numeric) = 0.7135488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.913
y[1] (analytic) = 0.7145138
y[1] (numeric) = 0.7145138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.914
y[1] (analytic) = 0.7154792
y[1] (numeric) = 0.7154792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.915
y[1] (analytic) = 0.716445
y[1] (numeric) = 0.716445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.916
y[1] (analytic) = 0.7174112
y[1] (numeric) = 0.7174112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.917
y[1] (analytic) = 0.7183778
y[1] (numeric) = 0.7183778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.918
y[1] (analytic) = 0.7193448
y[1] (numeric) = 0.7193448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.919
y[1] (analytic) = 0.7203122
y[1] (numeric) = 0.7203122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.92
y[1] (analytic) = 0.72128
y[1] (numeric) = 0.72128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.921
y[1] (analytic) = 0.7222482
y[1] (numeric) = 0.7222482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.922
y[1] (analytic) = 0.7232168
y[1] (numeric) = 0.7232168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.923
y[1] (analytic) = 0.7241858
y[1] (numeric) = 0.7241858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.924
y[1] (analytic) = 0.7251552
y[1] (numeric) = 0.7251552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.925
y[1] (analytic) = 0.726125
y[1] (numeric) = 0.726125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.926
y[1] (analytic) = 0.7270952
y[1] (numeric) = 0.7270952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.927
y[1] (analytic) = 0.7280658
y[1] (numeric) = 0.7280658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.928
y[1] (analytic) = 0.7290368
y[1] (numeric) = 0.7290368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.929
y[1] (analytic) = 0.7300082
y[1] (numeric) = 0.7300082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=49.5MB, alloc=3.8MB, time=8.10
x[1] = 0.93
y[1] (analytic) = 0.73098
y[1] (numeric) = 0.73098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.931
y[1] (analytic) = 0.7319522
y[1] (numeric) = 0.7319522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.932
y[1] (analytic) = 0.7329248
y[1] (numeric) = 0.7329248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.933
y[1] (analytic) = 0.7338978
y[1] (numeric) = 0.7338978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.934
y[1] (analytic) = 0.7348712
y[1] (numeric) = 0.7348712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.935
y[1] (analytic) = 0.735845
y[1] (numeric) = 0.735845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.936
y[1] (analytic) = 0.7368192
y[1] (numeric) = 0.7368192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.937
y[1] (analytic) = 0.7377938
y[1] (numeric) = 0.7377938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.938
y[1] (analytic) = 0.7387688
y[1] (numeric) = 0.7387688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.939
y[1] (analytic) = 0.7397442
y[1] (numeric) = 0.7397442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.94
y[1] (analytic) = 0.74072
y[1] (numeric) = 0.74072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.941
y[1] (analytic) = 0.7416962
y[1] (numeric) = 0.7416962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.942
y[1] (analytic) = 0.7426728
y[1] (numeric) = 0.7426728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.943
y[1] (analytic) = 0.7436498
y[1] (numeric) = 0.7436498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.944
y[1] (analytic) = 0.7446272
y[1] (numeric) = 0.7446272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.945
y[1] (analytic) = 0.745605
y[1] (numeric) = 0.745605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.946
y[1] (analytic) = 0.7465832
y[1] (numeric) = 0.7465832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.947
y[1] (analytic) = 0.7475618
y[1] (numeric) = 0.7475618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.948
y[1] (analytic) = 0.7485408
y[1] (numeric) = 0.7485408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.949
y[1] (analytic) = 0.7495202
y[1] (numeric) = 0.7495202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.95
y[1] (analytic) = 0.7505
y[1] (numeric) = 0.7505
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.951
y[1] (analytic) = 0.7514802
y[1] (numeric) = 0.7514802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.952
y[1] (analytic) = 0.7524608
y[1] (numeric) = 0.7524608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.953
y[1] (analytic) = 0.7534418
y[1] (numeric) = 0.7534418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.954
y[1] (analytic) = 0.7544232
y[1] (numeric) = 0.7544232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.955
y[1] (analytic) = 0.755405
y[1] (numeric) = 0.755405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.956
y[1] (analytic) = 0.7563872
y[1] (numeric) = 0.7563872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.957
y[1] (analytic) = 0.7573698
y[1] (numeric) = 0.7573698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.958
y[1] (analytic) = 0.7583528
y[1] (numeric) = 0.7583528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.959
y[1] (analytic) = 0.7593362
y[1] (numeric) = 0.7593362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.96
y[1] (analytic) = 0.76032
y[1] (numeric) = 0.76032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.961
y[1] (analytic) = 0.7613042
y[1] (numeric) = 0.7613042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.962
y[1] (analytic) = 0.7622888
y[1] (numeric) = 0.7622888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.963
y[1] (analytic) = 0.7632738
y[1] (numeric) = 0.7632738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.964
y[1] (analytic) = 0.7642592
y[1] (numeric) = 0.7642592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.965
y[1] (analytic) = 0.765245
y[1] (numeric) = 0.765245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.966
y[1] (analytic) = 0.7662312
y[1] (numeric) = 0.7662312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.967
y[1] (analytic) = 0.7672178
y[1] (numeric) = 0.7672178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.968
y[1] (analytic) = 0.7682048
y[1] (numeric) = 0.7682048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.969
y[1] (analytic) = 0.7691922
y[1] (numeric) = 0.7691922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.97
y[1] (analytic) = 0.77018
y[1] (numeric) = 0.77018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.971
y[1] (analytic) = 0.7711682
y[1] (numeric) = 0.7711682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.972
y[1] (analytic) = 0.7721568
y[1] (numeric) = 0.7721568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.973
y[1] (analytic) = 0.7731458
y[1] (numeric) = 0.7731458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.974
y[1] (analytic) = 0.7741352
y[1] (numeric) = 0.7741352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.975
y[1] (analytic) = 0.775125
y[1] (numeric) = 0.775125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.976
y[1] (analytic) = 0.7761152
y[1] (numeric) = 0.7761152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.977
y[1] (analytic) = 0.7771058
y[1] (numeric) = 0.7771058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.978
y[1] (analytic) = 0.7780968
y[1] (numeric) = 0.7780968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.979
y[1] (analytic) = 0.7790882
y[1] (numeric) = 0.7790882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.98
y[1] (analytic) = 0.78008
y[1] (numeric) = 0.78008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.981
y[1] (analytic) = 0.7810722
y[1] (numeric) = 0.7810722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.982
y[1] (analytic) = 0.7820648
y[1] (numeric) = 0.7820648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.983
y[1] (analytic) = 0.7830578
y[1] (numeric) = 0.7830578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.984
y[1] (analytic) = 0.7840512
y[1] (numeric) = 0.7840512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.985
y[1] (analytic) = 0.785045
y[1] (numeric) = 0.785045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.986
y[1] (analytic) = 0.7860392
y[1] (numeric) = 0.7860392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.987
y[1] (analytic) = 0.7870338
y[1] (numeric) = 0.7870338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.988
y[1] (analytic) = 0.7880288
y[1] (numeric) = 0.7880288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.989
y[1] (analytic) = 0.7890242
y[1] (numeric) = 0.7890242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.99
y[1] (analytic) = 0.79002
y[1] (numeric) = 0.79002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.991
y[1] (analytic) = 0.7910162
y[1] (numeric) = 0.7910162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.992
y[1] (analytic) = 0.7920128
y[1] (numeric) = 0.7920128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.993
y[1] (analytic) = 0.7930098
y[1] (numeric) = 0.7930098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.994
y[1] (analytic) = 0.7940072
y[1] (numeric) = 0.7940072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.995
y[1] (analytic) = 0.795005
y[1] (numeric) = 0.795005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=53.4MB, alloc=3.8MB, time=8.73
x[1] = 0.996
y[1] (analytic) = 0.7960032
y[1] (numeric) = 0.7960032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.997
y[1] (analytic) = 0.7970018
y[1] (numeric) = 0.7970018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.998
y[1] (analytic) = 0.7980008
y[1] (numeric) = 0.7980008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.999
y[1] (analytic) = 0.7990002
y[1] (numeric) = 0.7990002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1
y[1] (analytic) = 0.8
y[1] (numeric) = 0.8
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.001
y[1] (analytic) = 0.8010002
y[1] (numeric) = 0.8010002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.002
y[1] (analytic) = 0.8020008
y[1] (numeric) = 0.8020008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.003
y[1] (analytic) = 0.8030018
y[1] (numeric) = 0.8030018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.004
y[1] (analytic) = 0.8040032
y[1] (numeric) = 0.8040032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.005
y[1] (analytic) = 0.805005
y[1] (numeric) = 0.805005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.006
y[1] (analytic) = 0.8060072
y[1] (numeric) = 0.8060072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.007
y[1] (analytic) = 0.8070098
y[1] (numeric) = 0.8070098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.008
y[1] (analytic) = 0.8080128
y[1] (numeric) = 0.8080128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.009
y[1] (analytic) = 0.8090162
y[1] (numeric) = 0.8090162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.01
y[1] (analytic) = 0.81002
y[1] (numeric) = 0.81002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.011
y[1] (analytic) = 0.8110242
y[1] (numeric) = 0.8110242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.012
y[1] (analytic) = 0.8120288
y[1] (numeric) = 0.8120288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.013
y[1] (analytic) = 0.8130338
y[1] (numeric) = 0.8130338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.014
y[1] (analytic) = 0.8140392
y[1] (numeric) = 0.8140392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.015
y[1] (analytic) = 0.815045
y[1] (numeric) = 0.815045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.016
y[1] (analytic) = 0.8160512
y[1] (numeric) = 0.8160512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.017
y[1] (analytic) = 0.8170578
y[1] (numeric) = 0.8170578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.018
y[1] (analytic) = 0.8180648
y[1] (numeric) = 0.8180648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.019
y[1] (analytic) = 0.8190722
y[1] (numeric) = 0.8190722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.02
y[1] (analytic) = 0.82008
y[1] (numeric) = 0.82008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.021
y[1] (analytic) = 0.8210882
y[1] (numeric) = 0.8210882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.022
y[1] (analytic) = 0.8220968
y[1] (numeric) = 0.8220968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.023
y[1] (analytic) = 0.8231058
y[1] (numeric) = 0.8231058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.024
y[1] (analytic) = 0.8241152
y[1] (numeric) = 0.8241152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.025
y[1] (analytic) = 0.825125
y[1] (numeric) = 0.825125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.026
y[1] (analytic) = 0.8261352
y[1] (numeric) = 0.8261352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.027
y[1] (analytic) = 0.8271458
y[1] (numeric) = 0.8271458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.028
y[1] (analytic) = 0.8281568
y[1] (numeric) = 0.8281568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.029
y[1] (analytic) = 0.8291682
y[1] (numeric) = 0.8291682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.03
y[1] (analytic) = 0.83018
y[1] (numeric) = 0.83018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.031
y[1] (analytic) = 0.8311922
y[1] (numeric) = 0.8311922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.032
y[1] (analytic) = 0.8322048
y[1] (numeric) = 0.8322048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.033
y[1] (analytic) = 0.8332178
y[1] (numeric) = 0.8332178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.034
y[1] (analytic) = 0.8342312
y[1] (numeric) = 0.8342312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.035
y[1] (analytic) = 0.835245
y[1] (numeric) = 0.835245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.036
y[1] (analytic) = 0.8362592
y[1] (numeric) = 0.8362592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.037
y[1] (analytic) = 0.8372738
y[1] (numeric) = 0.8372738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.038
y[1] (analytic) = 0.8382888
y[1] (numeric) = 0.8382888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.039
y[1] (analytic) = 0.8393042
y[1] (numeric) = 0.8393042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.04
y[1] (analytic) = 0.84032
y[1] (numeric) = 0.84032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.041
y[1] (analytic) = 0.8413362
y[1] (numeric) = 0.8413362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.042
y[1] (analytic) = 0.8423528
y[1] (numeric) = 0.8423528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.043
y[1] (analytic) = 0.8433698
y[1] (numeric) = 0.8433698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.044
y[1] (analytic) = 0.8443872
y[1] (numeric) = 0.8443872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.045
y[1] (analytic) = 0.845405
y[1] (numeric) = 0.845405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.046
y[1] (analytic) = 0.8464232
y[1] (numeric) = 0.8464232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.047
y[1] (analytic) = 0.8474418
y[1] (numeric) = 0.8474418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.048
y[1] (analytic) = 0.8484608
y[1] (numeric) = 0.8484608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.049
y[1] (analytic) = 0.8494802
y[1] (numeric) = 0.8494802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.05
y[1] (analytic) = 0.8505
y[1] (numeric) = 0.8505
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.051
y[1] (analytic) = 0.8515202
y[1] (numeric) = 0.8515202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.052
y[1] (analytic) = 0.8525408
y[1] (numeric) = 0.8525408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.053
y[1] (analytic) = 0.8535618
y[1] (numeric) = 0.8535618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.054
y[1] (analytic) = 0.8545832
y[1] (numeric) = 0.8545832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.055
y[1] (analytic) = 0.855605
y[1] (numeric) = 0.855605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.056
y[1] (analytic) = 0.8566272
y[1] (numeric) = 0.8566272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.057
y[1] (analytic) = 0.8576498
y[1] (numeric) = 0.8576498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.058
y[1] (analytic) = 0.8586728
y[1] (numeric) = 0.8586728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.059
y[1] (analytic) = 0.8596962
y[1] (numeric) = 0.8596962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.06
y[1] (analytic) = 0.86072
y[1] (numeric) = 0.86072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.061
y[1] (analytic) = 0.8617442
y[1] (numeric) = 0.8617442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=57.2MB, alloc=3.9MB, time=9.37
x[1] = 1.062
y[1] (analytic) = 0.8627688
y[1] (numeric) = 0.8627688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.063
y[1] (analytic) = 0.8637938
y[1] (numeric) = 0.8637938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.064
y[1] (analytic) = 0.8648192
y[1] (numeric) = 0.8648192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.065
y[1] (analytic) = 0.865845
y[1] (numeric) = 0.865845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.066
y[1] (analytic) = 0.8668712
y[1] (numeric) = 0.8668712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.067
y[1] (analytic) = 0.8678978
y[1] (numeric) = 0.8678978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.068
y[1] (analytic) = 0.8689248
y[1] (numeric) = 0.8689248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.069
y[1] (analytic) = 0.8699522
y[1] (numeric) = 0.8699522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.07
y[1] (analytic) = 0.87098
y[1] (numeric) = 0.87098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.071
y[1] (analytic) = 0.8720082
y[1] (numeric) = 0.8720082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.072
y[1] (analytic) = 0.8730368
y[1] (numeric) = 0.8730368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.073
y[1] (analytic) = 0.8740658
y[1] (numeric) = 0.8740658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.074
y[1] (analytic) = 0.8750952
y[1] (numeric) = 0.8750952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.075
y[1] (analytic) = 0.876125
y[1] (numeric) = 0.876125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.076
y[1] (analytic) = 0.8771552
y[1] (numeric) = 0.8771552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.077
y[1] (analytic) = 0.8781858
y[1] (numeric) = 0.8781858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.078
y[1] (analytic) = 0.8792168
y[1] (numeric) = 0.8792168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.079
y[1] (analytic) = 0.8802482
y[1] (numeric) = 0.8802482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.08
y[1] (analytic) = 0.88128
y[1] (numeric) = 0.88128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.081
y[1] (analytic) = 0.8823122
y[1] (numeric) = 0.8823122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.082
y[1] (analytic) = 0.8833448
y[1] (numeric) = 0.8833448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.083
y[1] (analytic) = 0.8843778
y[1] (numeric) = 0.8843778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.084
y[1] (analytic) = 0.8854112
y[1] (numeric) = 0.8854112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.085
y[1] (analytic) = 0.886445
y[1] (numeric) = 0.886445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.086
y[1] (analytic) = 0.8874792
y[1] (numeric) = 0.8874792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.087
y[1] (analytic) = 0.8885138
y[1] (numeric) = 0.8885138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.088
y[1] (analytic) = 0.8895488
y[1] (numeric) = 0.8895488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.089
y[1] (analytic) = 0.8905842
y[1] (numeric) = 0.8905842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.09
y[1] (analytic) = 0.89162
y[1] (numeric) = 0.89162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.091
y[1] (analytic) = 0.8926562
y[1] (numeric) = 0.8926562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.092
y[1] (analytic) = 0.8936928
y[1] (numeric) = 0.8936928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.093
y[1] (analytic) = 0.8947298
y[1] (numeric) = 0.8947298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.094
y[1] (analytic) = 0.8957672
y[1] (numeric) = 0.8957672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.095
y[1] (analytic) = 0.896805
y[1] (numeric) = 0.896805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.096
y[1] (analytic) = 0.8978432
y[1] (numeric) = 0.8978432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.097
y[1] (analytic) = 0.8988818
y[1] (numeric) = 0.8988818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.098
y[1] (analytic) = 0.8999208
y[1] (numeric) = 0.8999208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.099
y[1] (analytic) = 0.9009602
y[1] (numeric) = 0.9009602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1
y[1] (analytic) = 0.902
y[1] (numeric) = 0.902
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.101
y[1] (analytic) = 0.9030402
y[1] (numeric) = 0.9030402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.102
y[1] (analytic) = 0.9040808
y[1] (numeric) = 0.9040808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.103
y[1] (analytic) = 0.9051218
y[1] (numeric) = 0.9051218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.104
y[1] (analytic) = 0.9061632
y[1] (numeric) = 0.9061632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.105
y[1] (analytic) = 0.907205
y[1] (numeric) = 0.907205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.106
y[1] (analytic) = 0.9082472
y[1] (numeric) = 0.9082472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.107
y[1] (analytic) = 0.9092898
y[1] (numeric) = 0.9092898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.108
y[1] (analytic) = 0.9103328
y[1] (numeric) = 0.9103328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.109
y[1] (analytic) = 0.9113762
y[1] (numeric) = 0.9113762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.11
y[1] (analytic) = 0.91242
y[1] (numeric) = 0.91242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.111
y[1] (analytic) = 0.9134642
y[1] (numeric) = 0.9134642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.112
y[1] (analytic) = 0.9145088
y[1] (numeric) = 0.9145088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.113
y[1] (analytic) = 0.9155538
y[1] (numeric) = 0.9155538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.114
y[1] (analytic) = 0.9165992
y[1] (numeric) = 0.9165992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.115
y[1] (analytic) = 0.917645
y[1] (numeric) = 0.917645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.116
y[1] (analytic) = 0.9186912
y[1] (numeric) = 0.9186912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.117
y[1] (analytic) = 0.9197378
y[1] (numeric) = 0.9197378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.118
y[1] (analytic) = 0.9207848
y[1] (numeric) = 0.9207848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.119
y[1] (analytic) = 0.9218322
y[1] (numeric) = 0.9218322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.12
y[1] (analytic) = 0.92288
y[1] (numeric) = 0.92288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.121
y[1] (analytic) = 0.9239282
y[1] (numeric) = 0.9239282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.122
y[1] (analytic) = 0.9249768
y[1] (numeric) = 0.9249768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.123
y[1] (analytic) = 0.9260258
y[1] (numeric) = 0.9260258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.124
y[1] (analytic) = 0.9270752
y[1] (numeric) = 0.9270752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.125
y[1] (analytic) = 0.928125
y[1] (numeric) = 0.928125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.126
y[1] (analytic) = 0.9291752
y[1] (numeric) = 0.9291752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.127
y[1] (analytic) = 0.9302258
y[1] (numeric) = 0.9302258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=61.0MB, alloc=3.9MB, time=10.01
x[1] = 1.128
y[1] (analytic) = 0.9312768
y[1] (numeric) = 0.9312768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.129
y[1] (analytic) = 0.9323282
y[1] (numeric) = 0.9323282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.13
y[1] (analytic) = 0.93338
y[1] (numeric) = 0.93338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.131
y[1] (analytic) = 0.9344322
y[1] (numeric) = 0.9344322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.132
y[1] (analytic) = 0.9354848
y[1] (numeric) = 0.9354848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.133
y[1] (analytic) = 0.9365378
y[1] (numeric) = 0.9365378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.134
y[1] (analytic) = 0.9375912
y[1] (numeric) = 0.9375912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.135
y[1] (analytic) = 0.938645
y[1] (numeric) = 0.938645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.136
y[1] (analytic) = 0.9396992
y[1] (numeric) = 0.9396992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.137
y[1] (analytic) = 0.9407538
y[1] (numeric) = 0.9407538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.138
y[1] (analytic) = 0.9418088
y[1] (numeric) = 0.9418088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.139
y[1] (analytic) = 0.9428642
y[1] (numeric) = 0.9428642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.14
y[1] (analytic) = 0.94392
y[1] (numeric) = 0.94392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.141
y[1] (analytic) = 0.9449762
y[1] (numeric) = 0.9449762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.142
y[1] (analytic) = 0.9460328
y[1] (numeric) = 0.9460328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.143
y[1] (analytic) = 0.9470898
y[1] (numeric) = 0.9470898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.144
y[1] (analytic) = 0.9481472
y[1] (numeric) = 0.9481472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.145
y[1] (analytic) = 0.949205
y[1] (numeric) = 0.949205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.146
y[1] (analytic) = 0.9502632
y[1] (numeric) = 0.9502632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.147
y[1] (analytic) = 0.9513218
y[1] (numeric) = 0.9513218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.148
y[1] (analytic) = 0.9523808
y[1] (numeric) = 0.9523808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.149
y[1] (analytic) = 0.9534402
y[1] (numeric) = 0.9534402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.15
y[1] (analytic) = 0.9545
y[1] (numeric) = 0.9545
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.151
y[1] (analytic) = 0.9555602
y[1] (numeric) = 0.9555602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.152
y[1] (analytic) = 0.9566208
y[1] (numeric) = 0.9566208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.153
y[1] (analytic) = 0.9576818
y[1] (numeric) = 0.9576818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.154
y[1] (analytic) = 0.9587432
y[1] (numeric) = 0.9587432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.155
y[1] (analytic) = 0.959805
y[1] (numeric) = 0.959805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.156
y[1] (analytic) = 0.9608672
y[1] (numeric) = 0.9608672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.157
y[1] (analytic) = 0.9619298
y[1] (numeric) = 0.9619298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.158
y[1] (analytic) = 0.9629928
y[1] (numeric) = 0.9629928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.159
y[1] (analytic) = 0.9640562
y[1] (numeric) = 0.9640562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.16
y[1] (analytic) = 0.96512
y[1] (numeric) = 0.96512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.161
y[1] (analytic) = 0.9661842
y[1] (numeric) = 0.9661842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.162
y[1] (analytic) = 0.9672488
y[1] (numeric) = 0.9672488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.163
y[1] (analytic) = 0.9683138
y[1] (numeric) = 0.9683138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.164
y[1] (analytic) = 0.9693792
y[1] (numeric) = 0.9693792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.165
y[1] (analytic) = 0.970445
y[1] (numeric) = 0.970445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.166
y[1] (analytic) = 0.9715112
y[1] (numeric) = 0.9715112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.167
y[1] (analytic) = 0.9725778
y[1] (numeric) = 0.9725778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.168
y[1] (analytic) = 0.9736448
y[1] (numeric) = 0.9736448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.169
y[1] (analytic) = 0.9747122
y[1] (numeric) = 0.9747122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.17
y[1] (analytic) = 0.97578
y[1] (numeric) = 0.97578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.171
y[1] (analytic) = 0.9768482
y[1] (numeric) = 0.9768482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.172
y[1] (analytic) = 0.9779168
y[1] (numeric) = 0.9779168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.173
y[1] (analytic) = 0.9789858
y[1] (numeric) = 0.9789858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.174
y[1] (analytic) = 0.9800552
y[1] (numeric) = 0.9800552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.175
y[1] (analytic) = 0.981125
y[1] (numeric) = 0.981125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.176
y[1] (analytic) = 0.9821952
y[1] (numeric) = 0.9821952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.177
y[1] (analytic) = 0.9832658
y[1] (numeric) = 0.9832658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.178
y[1] (analytic) = 0.9843368
y[1] (numeric) = 0.9843368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.179
y[1] (analytic) = 0.9854082
y[1] (numeric) = 0.9854082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.18
y[1] (analytic) = 0.98648
y[1] (numeric) = 0.98648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.181
y[1] (analytic) = 0.9875522
y[1] (numeric) = 0.9875522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.182
y[1] (analytic) = 0.9886248
y[1] (numeric) = 0.9886248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.183
y[1] (analytic) = 0.9896978
y[1] (numeric) = 0.9896978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.184
y[1] (analytic) = 0.9907712
y[1] (numeric) = 0.9907712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.185
y[1] (analytic) = 0.991845
y[1] (numeric) = 0.991845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.186
y[1] (analytic) = 0.9929192
y[1] (numeric) = 0.9929192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.187
y[1] (analytic) = 0.9939938
y[1] (numeric) = 0.9939938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.188
y[1] (analytic) = 0.9950688
y[1] (numeric) = 0.9950688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.189
y[1] (analytic) = 0.9961442
y[1] (numeric) = 0.9961442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.19
y[1] (analytic) = 0.99722
y[1] (numeric) = 0.99722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.191
y[1] (analytic) = 0.9982962
y[1] (numeric) = 0.9982962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.192
y[1] (analytic) = 0.9993728
y[1] (numeric) = 0.9993728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.193
y[1] (analytic) = 1.0004498
y[1] (numeric) = 1.0004498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=64.8MB, alloc=3.9MB, time=10.65
x[1] = 1.194
y[1] (analytic) = 1.0015272
y[1] (numeric) = 1.0015272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.195
y[1] (analytic) = 1.002605
y[1] (numeric) = 1.002605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.196
y[1] (analytic) = 1.0036832
y[1] (numeric) = 1.0036832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.197
y[1] (analytic) = 1.0047618
y[1] (numeric) = 1.0047618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.198
y[1] (analytic) = 1.0058408
y[1] (numeric) = 1.0058408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.199
y[1] (analytic) = 1.0069202
y[1] (numeric) = 1.0069202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.2
y[1] (analytic) = 1.008
y[1] (numeric) = 1.008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.201
y[1] (analytic) = 1.0090802
y[1] (numeric) = 1.0090802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.202
y[1] (analytic) = 1.0101608
y[1] (numeric) = 1.0101608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.203
y[1] (analytic) = 1.0112418
y[1] (numeric) = 1.0112418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.204
y[1] (analytic) = 1.0123232
y[1] (numeric) = 1.0123232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.205
y[1] (analytic) = 1.013405
y[1] (numeric) = 1.013405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.206
y[1] (analytic) = 1.0144872
y[1] (numeric) = 1.0144872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.207
y[1] (analytic) = 1.0155698
y[1] (numeric) = 1.0155698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.208
y[1] (analytic) = 1.0166528
y[1] (numeric) = 1.0166528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.209
y[1] (analytic) = 1.0177362
y[1] (numeric) = 1.0177362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.21
y[1] (analytic) = 1.01882
y[1] (numeric) = 1.01882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.211
y[1] (analytic) = 1.0199042
y[1] (numeric) = 1.0199042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.212
y[1] (analytic) = 1.0209888
y[1] (numeric) = 1.0209888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.213
y[1] (analytic) = 1.0220738
y[1] (numeric) = 1.0220738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.214
y[1] (analytic) = 1.0231592
y[1] (numeric) = 1.0231592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.215
y[1] (analytic) = 1.024245
y[1] (numeric) = 1.024245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.216
y[1] (analytic) = 1.0253312
y[1] (numeric) = 1.0253312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.217
y[1] (analytic) = 1.0264178
y[1] (numeric) = 1.0264178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.218
y[1] (analytic) = 1.0275048
y[1] (numeric) = 1.0275048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.219
y[1] (analytic) = 1.0285922
y[1] (numeric) = 1.0285922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.22
y[1] (analytic) = 1.02968
y[1] (numeric) = 1.02968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.221
y[1] (analytic) = 1.0307682
y[1] (numeric) = 1.0307682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.222
y[1] (analytic) = 1.0318568
y[1] (numeric) = 1.0318568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.223
y[1] (analytic) = 1.0329458
y[1] (numeric) = 1.0329458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.224
y[1] (analytic) = 1.0340352
y[1] (numeric) = 1.0340352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.225
y[1] (analytic) = 1.035125
y[1] (numeric) = 1.035125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.226
y[1] (analytic) = 1.0362152
y[1] (numeric) = 1.0362152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.227
y[1] (analytic) = 1.0373058
y[1] (numeric) = 1.0373058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.228
y[1] (analytic) = 1.0383968
y[1] (numeric) = 1.0383968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.229
y[1] (analytic) = 1.0394882
y[1] (numeric) = 1.0394882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.23
y[1] (analytic) = 1.04058
y[1] (numeric) = 1.04058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.231
y[1] (analytic) = 1.0416722
y[1] (numeric) = 1.0416722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.232
y[1] (analytic) = 1.0427648
y[1] (numeric) = 1.0427648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.233
y[1] (analytic) = 1.0438578
y[1] (numeric) = 1.0438578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.234
y[1] (analytic) = 1.0449512
y[1] (numeric) = 1.0449512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.235
y[1] (analytic) = 1.046045
y[1] (numeric) = 1.046045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.236
y[1] (analytic) = 1.0471392
y[1] (numeric) = 1.0471392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.237
y[1] (analytic) = 1.0482338
y[1] (numeric) = 1.0482338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.238
y[1] (analytic) = 1.0493288
y[1] (numeric) = 1.0493288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.239
y[1] (analytic) = 1.0504242
y[1] (numeric) = 1.0504242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.24
y[1] (analytic) = 1.05152
y[1] (numeric) = 1.05152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.241
y[1] (analytic) = 1.0526162
y[1] (numeric) = 1.0526162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.242
y[1] (analytic) = 1.0537128
y[1] (numeric) = 1.0537128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.243
y[1] (analytic) = 1.0548098
y[1] (numeric) = 1.0548098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.244
y[1] (analytic) = 1.0559072
y[1] (numeric) = 1.0559072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.245
y[1] (analytic) = 1.057005
y[1] (numeric) = 1.057005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.246
y[1] (analytic) = 1.0581032
y[1] (numeric) = 1.0581032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.247
y[1] (analytic) = 1.0592018
y[1] (numeric) = 1.0592018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.248
y[1] (analytic) = 1.0603008
y[1] (numeric) = 1.0603008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.249
y[1] (analytic) = 1.0614002
y[1] (numeric) = 1.0614002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.25
y[1] (analytic) = 1.0625
y[1] (numeric) = 1.0625
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.251
y[1] (analytic) = 1.0636002
y[1] (numeric) = 1.0636002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.252
y[1] (analytic) = 1.0647008
y[1] (numeric) = 1.0647008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.253
y[1] (analytic) = 1.0658018
y[1] (numeric) = 1.0658018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.254
y[1] (analytic) = 1.0669032
y[1] (numeric) = 1.0669032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.255
y[1] (analytic) = 1.068005
y[1] (numeric) = 1.068005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.256
y[1] (analytic) = 1.0691072
y[1] (numeric) = 1.0691072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.257
y[1] (analytic) = 1.0702098
y[1] (numeric) = 1.0702098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.258
y[1] (analytic) = 1.0713128
y[1] (numeric) = 1.0713128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.259
y[1] (analytic) = 1.0724162
y[1] (numeric) = 1.0724162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=68.6MB, alloc=3.9MB, time=11.29
x[1] = 1.26
y[1] (analytic) = 1.07352
y[1] (numeric) = 1.07352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.261
y[1] (analytic) = 1.0746242
y[1] (numeric) = 1.0746242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.262
y[1] (analytic) = 1.0757288
y[1] (numeric) = 1.0757288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.263
y[1] (analytic) = 1.0768338
y[1] (numeric) = 1.0768338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.264
y[1] (analytic) = 1.0779392
y[1] (numeric) = 1.0779392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.265
y[1] (analytic) = 1.079045
y[1] (numeric) = 1.079045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.266
y[1] (analytic) = 1.0801512
y[1] (numeric) = 1.0801512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.267
y[1] (analytic) = 1.0812578
y[1] (numeric) = 1.0812578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.268
y[1] (analytic) = 1.0823648
y[1] (numeric) = 1.0823648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.269
y[1] (analytic) = 1.0834722
y[1] (numeric) = 1.0834722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.27
y[1] (analytic) = 1.08458
y[1] (numeric) = 1.08458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.271
y[1] (analytic) = 1.0856882
y[1] (numeric) = 1.0856882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.272
y[1] (analytic) = 1.0867968
y[1] (numeric) = 1.0867968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.273
y[1] (analytic) = 1.0879058
y[1] (numeric) = 1.0879058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.274
y[1] (analytic) = 1.0890152
y[1] (numeric) = 1.0890152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.275
y[1] (analytic) = 1.090125
y[1] (numeric) = 1.090125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.276
y[1] (analytic) = 1.0912352
y[1] (numeric) = 1.0912352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.277
y[1] (analytic) = 1.0923458
y[1] (numeric) = 1.0923458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.278
y[1] (analytic) = 1.0934568
y[1] (numeric) = 1.0934568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.279
y[1] (analytic) = 1.0945682
y[1] (numeric) = 1.0945682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.28
y[1] (analytic) = 1.09568
y[1] (numeric) = 1.09568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.281
y[1] (analytic) = 1.0967922
y[1] (numeric) = 1.0967922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.282
y[1] (analytic) = 1.0979048
y[1] (numeric) = 1.0979048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.283
y[1] (analytic) = 1.0990178
y[1] (numeric) = 1.0990178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.284
y[1] (analytic) = 1.1001312
y[1] (numeric) = 1.1001312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.285
y[1] (analytic) = 1.101245
y[1] (numeric) = 1.101245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.286
y[1] (analytic) = 1.1023592
y[1] (numeric) = 1.1023592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.287
y[1] (analytic) = 1.1034738
y[1] (numeric) = 1.1034738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.288
y[1] (analytic) = 1.1045888
y[1] (numeric) = 1.1045888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.289
y[1] (analytic) = 1.1057042
y[1] (numeric) = 1.1057042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.29
y[1] (analytic) = 1.10682
y[1] (numeric) = 1.10682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.291
y[1] (analytic) = 1.1079362
y[1] (numeric) = 1.1079362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.292
y[1] (analytic) = 1.1090528
y[1] (numeric) = 1.1090528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.293
y[1] (analytic) = 1.1101698
y[1] (numeric) = 1.1101698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.294
y[1] (analytic) = 1.1112872
y[1] (numeric) = 1.1112872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.295
y[1] (analytic) = 1.112405
y[1] (numeric) = 1.112405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.296
y[1] (analytic) = 1.1135232
y[1] (numeric) = 1.1135232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.297
y[1] (analytic) = 1.1146418
y[1] (numeric) = 1.1146418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.298
y[1] (analytic) = 1.1157608
y[1] (numeric) = 1.1157608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.299
y[1] (analytic) = 1.1168802
y[1] (numeric) = 1.1168802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.3
y[1] (analytic) = 1.118
y[1] (numeric) = 1.118
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.301
y[1] (analytic) = 1.1191202
y[1] (numeric) = 1.1191202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.302
y[1] (analytic) = 1.1202408
y[1] (numeric) = 1.1202408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.303
y[1] (analytic) = 1.1213618
y[1] (numeric) = 1.1213618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.304
y[1] (analytic) = 1.1224832
y[1] (numeric) = 1.1224832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.305
y[1] (analytic) = 1.123605
y[1] (numeric) = 1.123605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.306
y[1] (analytic) = 1.1247272
y[1] (numeric) = 1.1247272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.307
y[1] (analytic) = 1.1258498
y[1] (numeric) = 1.1258498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.308
y[1] (analytic) = 1.1269728
y[1] (numeric) = 1.1269728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.309
y[1] (analytic) = 1.1280962
y[1] (numeric) = 1.1280962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.31
y[1] (analytic) = 1.12922
y[1] (numeric) = 1.12922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.311
y[1] (analytic) = 1.1303442
y[1] (numeric) = 1.1303442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.312
y[1] (analytic) = 1.1314688
y[1] (numeric) = 1.1314688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.313
y[1] (analytic) = 1.1325938
y[1] (numeric) = 1.1325938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.314
y[1] (analytic) = 1.1337192
y[1] (numeric) = 1.1337192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.315
y[1] (analytic) = 1.134845
y[1] (numeric) = 1.134845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.316
y[1] (analytic) = 1.1359712
y[1] (numeric) = 1.1359712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.317
y[1] (analytic) = 1.1370978
y[1] (numeric) = 1.1370978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.318
y[1] (analytic) = 1.1382248
y[1] (numeric) = 1.1382248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.319
y[1] (analytic) = 1.1393522
y[1] (numeric) = 1.1393522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.32
y[1] (analytic) = 1.14048
y[1] (numeric) = 1.14048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.321
y[1] (analytic) = 1.1416082
y[1] (numeric) = 1.1416082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.322
y[1] (analytic) = 1.1427368
y[1] (numeric) = 1.1427368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.323
y[1] (analytic) = 1.1438658
y[1] (numeric) = 1.1438658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.324
y[1] (analytic) = 1.1449952
y[1] (numeric) = 1.1449952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.325
y[1] (analytic) = 1.146125
y[1] (numeric) = 1.146125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=72.4MB, alloc=3.9MB, time=11.92
x[1] = 1.326
y[1] (analytic) = 1.1472552
y[1] (numeric) = 1.1472552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.327
y[1] (analytic) = 1.1483858
y[1] (numeric) = 1.1483858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.328
y[1] (analytic) = 1.1495168
y[1] (numeric) = 1.1495168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.329
y[1] (analytic) = 1.1506482
y[1] (numeric) = 1.1506482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.33
y[1] (analytic) = 1.15178
y[1] (numeric) = 1.15178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.331
y[1] (analytic) = 1.1529122
y[1] (numeric) = 1.1529122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.332
y[1] (analytic) = 1.1540448
y[1] (numeric) = 1.1540448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.333
y[1] (analytic) = 1.1551778
y[1] (numeric) = 1.1551778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.334
y[1] (analytic) = 1.1563112
y[1] (numeric) = 1.1563112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.335
y[1] (analytic) = 1.157445
y[1] (numeric) = 1.157445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.336
y[1] (analytic) = 1.1585792
y[1] (numeric) = 1.1585792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.337
y[1] (analytic) = 1.1597138
y[1] (numeric) = 1.1597138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.338
y[1] (analytic) = 1.1608488
y[1] (numeric) = 1.1608488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.339
y[1] (analytic) = 1.1619842
y[1] (numeric) = 1.1619842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.34
y[1] (analytic) = 1.16312
y[1] (numeric) = 1.16312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.341
y[1] (analytic) = 1.1642562
y[1] (numeric) = 1.1642562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.342
y[1] (analytic) = 1.1653928
y[1] (numeric) = 1.1653928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.343
y[1] (analytic) = 1.1665298
y[1] (numeric) = 1.1665298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.344
y[1] (analytic) = 1.1676672
y[1] (numeric) = 1.1676672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.345
y[1] (analytic) = 1.168805
y[1] (numeric) = 1.168805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.346
y[1] (analytic) = 1.1699432
y[1] (numeric) = 1.1699432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.347
y[1] (analytic) = 1.1710818
y[1] (numeric) = 1.1710818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.348
y[1] (analytic) = 1.1722208
y[1] (numeric) = 1.1722208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.349
y[1] (analytic) = 1.1733602
y[1] (numeric) = 1.1733602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.35
y[1] (analytic) = 1.1745
y[1] (numeric) = 1.1745
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.351
y[1] (analytic) = 1.1756402
y[1] (numeric) = 1.1756402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.352
y[1] (analytic) = 1.1767808
y[1] (numeric) = 1.1767808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.353
y[1] (analytic) = 1.1779218
y[1] (numeric) = 1.1779218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.354
y[1] (analytic) = 1.1790632
y[1] (numeric) = 1.1790632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.355
y[1] (analytic) = 1.180205
y[1] (numeric) = 1.180205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.356
y[1] (analytic) = 1.1813472
y[1] (numeric) = 1.1813472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.357
y[1] (analytic) = 1.1824898
y[1] (numeric) = 1.1824898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.358
y[1] (analytic) = 1.1836328
y[1] (numeric) = 1.1836328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.359
y[1] (analytic) = 1.1847762
y[1] (numeric) = 1.1847762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.36
y[1] (analytic) = 1.18592
y[1] (numeric) = 1.18592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.361
y[1] (analytic) = 1.1870642
y[1] (numeric) = 1.1870642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.362
y[1] (analytic) = 1.1882088
y[1] (numeric) = 1.1882088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.363
y[1] (analytic) = 1.1893538
y[1] (numeric) = 1.1893538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.364
y[1] (analytic) = 1.1904992
y[1] (numeric) = 1.1904992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.365
y[1] (analytic) = 1.191645
y[1] (numeric) = 1.191645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.366
y[1] (analytic) = 1.1927912
y[1] (numeric) = 1.1927912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.367
y[1] (analytic) = 1.1939378
y[1] (numeric) = 1.1939378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.368
y[1] (analytic) = 1.1950848
y[1] (numeric) = 1.1950848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.369
y[1] (analytic) = 1.1962322
y[1] (numeric) = 1.1962322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.37
y[1] (analytic) = 1.19738
y[1] (numeric) = 1.19738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.371
y[1] (analytic) = 1.1985282
y[1] (numeric) = 1.1985282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.372
y[1] (analytic) = 1.1996768
y[1] (numeric) = 1.1996768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.373
y[1] (analytic) = 1.2008258
y[1] (numeric) = 1.2008258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.374
y[1] (analytic) = 1.2019752
y[1] (numeric) = 1.2019752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.375
y[1] (analytic) = 1.203125
y[1] (numeric) = 1.203125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.376
y[1] (analytic) = 1.2042752
y[1] (numeric) = 1.2042752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.377
y[1] (analytic) = 1.2054258
y[1] (numeric) = 1.2054258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.378
y[1] (analytic) = 1.2065768
y[1] (numeric) = 1.2065768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.379
y[1] (analytic) = 1.2077282
y[1] (numeric) = 1.2077282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.38
y[1] (analytic) = 1.20888
y[1] (numeric) = 1.20888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.381
y[1] (analytic) = 1.2100322
y[1] (numeric) = 1.2100322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.382
y[1] (analytic) = 1.2111848
y[1] (numeric) = 1.2111848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.383
y[1] (analytic) = 1.2123378
y[1] (numeric) = 1.2123378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.384
y[1] (analytic) = 1.2134912
y[1] (numeric) = 1.2134912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.385
y[1] (analytic) = 1.214645
y[1] (numeric) = 1.214645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.386
y[1] (analytic) = 1.2157992
y[1] (numeric) = 1.2157992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.387
y[1] (analytic) = 1.2169538
y[1] (numeric) = 1.2169538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.388
y[1] (analytic) = 1.2181088
y[1] (numeric) = 1.2181088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.389
y[1] (analytic) = 1.2192642
y[1] (numeric) = 1.2192642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.39
y[1] (analytic) = 1.22042
y[1] (numeric) = 1.22042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.391
y[1] (analytic) = 1.2215762
y[1] (numeric) = 1.2215762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=76.2MB, alloc=3.9MB, time=12.54
x[1] = 1.392
y[1] (analytic) = 1.2227328
y[1] (numeric) = 1.2227328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.393
y[1] (analytic) = 1.2238898
y[1] (numeric) = 1.2238898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.394
y[1] (analytic) = 1.2250472
y[1] (numeric) = 1.2250472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.395
y[1] (analytic) = 1.226205
y[1] (numeric) = 1.226205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.396
y[1] (analytic) = 1.2273632
y[1] (numeric) = 1.2273632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.397
y[1] (analytic) = 1.2285218
y[1] (numeric) = 1.2285218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.398
y[1] (analytic) = 1.2296808
y[1] (numeric) = 1.2296808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.399
y[1] (analytic) = 1.2308402
y[1] (numeric) = 1.2308402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.4
y[1] (analytic) = 1.232
y[1] (numeric) = 1.232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.401
y[1] (analytic) = 1.2331602
y[1] (numeric) = 1.2331602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.402
y[1] (analytic) = 1.2343208
y[1] (numeric) = 1.2343208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.403
y[1] (analytic) = 1.2354818
y[1] (numeric) = 1.2354818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.404
y[1] (analytic) = 1.2366432
y[1] (numeric) = 1.2366432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.405
y[1] (analytic) = 1.237805
y[1] (numeric) = 1.237805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.406
y[1] (analytic) = 1.2389672
y[1] (numeric) = 1.2389672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.407
y[1] (analytic) = 1.2401298
y[1] (numeric) = 1.2401298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.408
y[1] (analytic) = 1.2412928
y[1] (numeric) = 1.2412928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.409
y[1] (analytic) = 1.2424562
y[1] (numeric) = 1.2424562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.41
y[1] (analytic) = 1.24362
y[1] (numeric) = 1.24362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.411
y[1] (analytic) = 1.2447842
y[1] (numeric) = 1.2447842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.412
y[1] (analytic) = 1.2459488
y[1] (numeric) = 1.2459488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.413
y[1] (analytic) = 1.2471138
y[1] (numeric) = 1.2471138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.414
y[1] (analytic) = 1.2482792
y[1] (numeric) = 1.2482792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.415
y[1] (analytic) = 1.249445
y[1] (numeric) = 1.249445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.416
y[1] (analytic) = 1.2506112
y[1] (numeric) = 1.2506112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.417
y[1] (analytic) = 1.2517778
y[1] (numeric) = 1.2517778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.418
y[1] (analytic) = 1.2529448
y[1] (numeric) = 1.2529448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.419
y[1] (analytic) = 1.2541122
y[1] (numeric) = 1.2541122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.42
y[1] (analytic) = 1.25528
y[1] (numeric) = 1.25528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.421
y[1] (analytic) = 1.2564482
y[1] (numeric) = 1.2564482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.422
y[1] (analytic) = 1.2576168
y[1] (numeric) = 1.2576168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.423
y[1] (analytic) = 1.2587858
y[1] (numeric) = 1.2587858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.424
y[1] (analytic) = 1.2599552
y[1] (numeric) = 1.2599552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.425
y[1] (analytic) = 1.261125
y[1] (numeric) = 1.261125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.426
y[1] (analytic) = 1.2622952
y[1] (numeric) = 1.2622952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.427
y[1] (analytic) = 1.2634658
y[1] (numeric) = 1.2634658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.428
y[1] (analytic) = 1.2646368
y[1] (numeric) = 1.2646368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.429
y[1] (analytic) = 1.2658082
y[1] (numeric) = 1.2658082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.43
y[1] (analytic) = 1.26698
y[1] (numeric) = 1.26698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.431
y[1] (analytic) = 1.2681522
y[1] (numeric) = 1.2681522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.432
y[1] (analytic) = 1.2693248
y[1] (numeric) = 1.2693248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.433
y[1] (analytic) = 1.2704978
y[1] (numeric) = 1.2704978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.434
y[1] (analytic) = 1.2716712
y[1] (numeric) = 1.2716712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.435
y[1] (analytic) = 1.272845
y[1] (numeric) = 1.272845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.436
y[1] (analytic) = 1.2740192
y[1] (numeric) = 1.2740192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.437
y[1] (analytic) = 1.2751938
y[1] (numeric) = 1.2751938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.438
y[1] (analytic) = 1.2763688
y[1] (numeric) = 1.2763688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.439
y[1] (analytic) = 1.2775442
y[1] (numeric) = 1.2775442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.44
y[1] (analytic) = 1.27872
y[1] (numeric) = 1.27872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.441
y[1] (analytic) = 1.2798962
y[1] (numeric) = 1.2798962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.442
y[1] (analytic) = 1.2810728
y[1] (numeric) = 1.2810728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.443
y[1] (analytic) = 1.2822498
y[1] (numeric) = 1.2822498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.444
y[1] (analytic) = 1.2834272
y[1] (numeric) = 1.2834272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.445
y[1] (analytic) = 1.284605
y[1] (numeric) = 1.284605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.446
y[1] (analytic) = 1.2857832
y[1] (numeric) = 1.2857832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.447
y[1] (analytic) = 1.2869618
y[1] (numeric) = 1.2869618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.448
y[1] (analytic) = 1.2881408
y[1] (numeric) = 1.2881408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.449
y[1] (analytic) = 1.2893202
y[1] (numeric) = 1.2893202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.45
y[1] (analytic) = 1.2905
y[1] (numeric) = 1.2905
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.451
y[1] (analytic) = 1.2916802
y[1] (numeric) = 1.2916802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.452
y[1] (analytic) = 1.2928608
y[1] (numeric) = 1.2928608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.453
y[1] (analytic) = 1.2940418
y[1] (numeric) = 1.2940418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.454
y[1] (analytic) = 1.2952232
y[1] (numeric) = 1.2952232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.455
y[1] (analytic) = 1.296405
y[1] (numeric) = 1.296405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.456
y[1] (analytic) = 1.2975872
y[1] (numeric) = 1.2975872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.457
y[1] (analytic) = 1.2987698
y[1] (numeric) = 1.2987698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.458
y[1] (analytic) = 1.2999528
memory used=80.1MB, alloc=3.9MB, time=13.18
y[1] (numeric) = 1.2999528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.459
y[1] (analytic) = 1.3011362
y[1] (numeric) = 1.3011362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.46
y[1] (analytic) = 1.30232
y[1] (numeric) = 1.30232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.461
y[1] (analytic) = 1.3035042
y[1] (numeric) = 1.3035042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.462
y[1] (analytic) = 1.3046888
y[1] (numeric) = 1.3046888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.463
y[1] (analytic) = 1.3058738
y[1] (numeric) = 1.3058738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.464
y[1] (analytic) = 1.3070592
y[1] (numeric) = 1.3070592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.465
y[1] (analytic) = 1.308245
y[1] (numeric) = 1.308245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.466
y[1] (analytic) = 1.3094312
y[1] (numeric) = 1.3094312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.467
y[1] (analytic) = 1.3106178
y[1] (numeric) = 1.3106178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.468
y[1] (analytic) = 1.3118048
y[1] (numeric) = 1.3118048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.469
y[1] (analytic) = 1.3129922
y[1] (numeric) = 1.3129922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.47
y[1] (analytic) = 1.31418
y[1] (numeric) = 1.31418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.471
y[1] (analytic) = 1.3153682
y[1] (numeric) = 1.3153682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.472
y[1] (analytic) = 1.3165568
y[1] (numeric) = 1.3165568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.473
y[1] (analytic) = 1.3177458
y[1] (numeric) = 1.3177458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.474
y[1] (analytic) = 1.3189352
y[1] (numeric) = 1.3189352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.475
y[1] (analytic) = 1.320125
y[1] (numeric) = 1.320125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.476
y[1] (analytic) = 1.3213152
y[1] (numeric) = 1.3213152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.477
y[1] (analytic) = 1.3225058
y[1] (numeric) = 1.3225058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.478
y[1] (analytic) = 1.3236968
y[1] (numeric) = 1.3236968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.479
y[1] (analytic) = 1.3248882
y[1] (numeric) = 1.3248882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.48
y[1] (analytic) = 1.32608
y[1] (numeric) = 1.32608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.481
y[1] (analytic) = 1.3272722
y[1] (numeric) = 1.3272722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.482
y[1] (analytic) = 1.3284648
y[1] (numeric) = 1.3284648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.483
y[1] (analytic) = 1.3296578
y[1] (numeric) = 1.3296578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.484
y[1] (analytic) = 1.3308512
y[1] (numeric) = 1.3308512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.485
y[1] (analytic) = 1.332045
y[1] (numeric) = 1.332045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.486
y[1] (analytic) = 1.3332392
y[1] (numeric) = 1.3332392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.487
y[1] (analytic) = 1.3344338
y[1] (numeric) = 1.3344338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.488
y[1] (analytic) = 1.3356288
y[1] (numeric) = 1.3356288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.489
y[1] (analytic) = 1.3368242
y[1] (numeric) = 1.3368242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.49
y[1] (analytic) = 1.33802
y[1] (numeric) = 1.33802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.491
y[1] (analytic) = 1.3392162
y[1] (numeric) = 1.3392162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.492
y[1] (analytic) = 1.3404128
y[1] (numeric) = 1.3404128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.493
y[1] (analytic) = 1.3416098
y[1] (numeric) = 1.3416098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.494
y[1] (analytic) = 1.3428072
y[1] (numeric) = 1.3428072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.495
y[1] (analytic) = 1.344005
y[1] (numeric) = 1.344005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.496
y[1] (analytic) = 1.3452032
y[1] (numeric) = 1.3452032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.497
y[1] (analytic) = 1.3464018
y[1] (numeric) = 1.3464018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.498
y[1] (analytic) = 1.3476008
y[1] (numeric) = 1.3476008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.499
y[1] (analytic) = 1.3488002
y[1] (numeric) = 1.3488002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.5
y[1] (analytic) = 1.35
y[1] (numeric) = 1.35
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.501
y[1] (analytic) = 1.3512002
y[1] (numeric) = 1.3512002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.502
y[1] (analytic) = 1.3524008
y[1] (numeric) = 1.3524008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.503
y[1] (analytic) = 1.3536018
y[1] (numeric) = 1.3536018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.504
y[1] (analytic) = 1.3548032
y[1] (numeric) = 1.3548032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.505
y[1] (analytic) = 1.356005
y[1] (numeric) = 1.356005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.506
y[1] (analytic) = 1.3572072
y[1] (numeric) = 1.3572072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.507
y[1] (analytic) = 1.3584098
y[1] (numeric) = 1.3584098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.508
y[1] (analytic) = 1.3596128
y[1] (numeric) = 1.3596128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.509
y[1] (analytic) = 1.3608162
y[1] (numeric) = 1.3608162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.51
y[1] (analytic) = 1.36202
y[1] (numeric) = 1.36202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.511
y[1] (analytic) = 1.3632242
y[1] (numeric) = 1.3632242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.512
y[1] (analytic) = 1.3644288
y[1] (numeric) = 1.3644288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.513
y[1] (analytic) = 1.3656338
y[1] (numeric) = 1.3656338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.514
y[1] (analytic) = 1.3668392
y[1] (numeric) = 1.3668392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.515
y[1] (analytic) = 1.368045
y[1] (numeric) = 1.368045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.516
y[1] (analytic) = 1.3692512
y[1] (numeric) = 1.3692512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.517
y[1] (analytic) = 1.3704578
y[1] (numeric) = 1.3704578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.518
y[1] (analytic) = 1.3716648
y[1] (numeric) = 1.3716648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.519
y[1] (analytic) = 1.3728722
y[1] (numeric) = 1.3728722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.52
y[1] (analytic) = 1.37408
y[1] (numeric) = 1.37408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.521
y[1] (analytic) = 1.3752882
y[1] (numeric) = 1.3752882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.522
y[1] (analytic) = 1.3764968
y[1] (numeric) = 1.3764968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.523
y[1] (analytic) = 1.3777058
y[1] (numeric) = 1.3777058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.524
y[1] (analytic) = 1.3789152
y[1] (numeric) = 1.3789152
absolute error = 0
relative error = 0 %
memory used=83.9MB, alloc=3.9MB, time=13.82
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.525
y[1] (analytic) = 1.380125
y[1] (numeric) = 1.380125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.526
y[1] (analytic) = 1.3813352
y[1] (numeric) = 1.3813352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.527
y[1] (analytic) = 1.3825458
y[1] (numeric) = 1.3825458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.528
y[1] (analytic) = 1.3837568
y[1] (numeric) = 1.3837568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.529
y[1] (analytic) = 1.3849682
y[1] (numeric) = 1.3849682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.53
y[1] (analytic) = 1.38618
y[1] (numeric) = 1.38618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.531
y[1] (analytic) = 1.3873922
y[1] (numeric) = 1.3873922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.532
y[1] (analytic) = 1.3886048
y[1] (numeric) = 1.3886048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.533
y[1] (analytic) = 1.3898178
y[1] (numeric) = 1.3898178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.534
y[1] (analytic) = 1.3910312
y[1] (numeric) = 1.3910312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.535
y[1] (analytic) = 1.392245
y[1] (numeric) = 1.392245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.536
y[1] (analytic) = 1.3934592
y[1] (numeric) = 1.3934592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.537
y[1] (analytic) = 1.3946738
y[1] (numeric) = 1.3946738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.538
y[1] (analytic) = 1.3958888
y[1] (numeric) = 1.3958888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.539
y[1] (analytic) = 1.3971042
y[1] (numeric) = 1.3971042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.54
y[1] (analytic) = 1.39832
y[1] (numeric) = 1.39832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.541
y[1] (analytic) = 1.3995362
y[1] (numeric) = 1.3995362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.542
y[1] (analytic) = 1.4007528
y[1] (numeric) = 1.4007528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.543
y[1] (analytic) = 1.4019698
y[1] (numeric) = 1.4019698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.544
y[1] (analytic) = 1.4031872
y[1] (numeric) = 1.4031872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.545
y[1] (analytic) = 1.404405
y[1] (numeric) = 1.404405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.546
y[1] (analytic) = 1.4056232
y[1] (numeric) = 1.4056232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.547
y[1] (analytic) = 1.4068418
y[1] (numeric) = 1.4068418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.548
y[1] (analytic) = 1.4080608
y[1] (numeric) = 1.4080608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.549
y[1] (analytic) = 1.4092802
y[1] (numeric) = 1.4092802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.55
y[1] (analytic) = 1.4105
y[1] (numeric) = 1.4105
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.551
y[1] (analytic) = 1.4117202
y[1] (numeric) = 1.4117202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.552
y[1] (analytic) = 1.4129408
y[1] (numeric) = 1.4129408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.553
y[1] (analytic) = 1.4141618
y[1] (numeric) = 1.4141618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.554
y[1] (analytic) = 1.4153832
y[1] (numeric) = 1.4153832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.555
y[1] (analytic) = 1.416605
y[1] (numeric) = 1.416605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.556
y[1] (analytic) = 1.4178272
y[1] (numeric) = 1.4178272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.557
y[1] (analytic) = 1.4190498
y[1] (numeric) = 1.4190498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.558
y[1] (analytic) = 1.4202728
y[1] (numeric) = 1.4202728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.559
y[1] (analytic) = 1.4214962
y[1] (numeric) = 1.4214962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.56
y[1] (analytic) = 1.42272
y[1] (numeric) = 1.42272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.561
y[1] (analytic) = 1.4239442
y[1] (numeric) = 1.4239442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.562
y[1] (analytic) = 1.4251688
y[1] (numeric) = 1.4251688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.563
y[1] (analytic) = 1.4263938
y[1] (numeric) = 1.4263938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.564
y[1] (analytic) = 1.4276192
y[1] (numeric) = 1.4276192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.565
y[1] (analytic) = 1.428845
y[1] (numeric) = 1.428845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.566
y[1] (analytic) = 1.4300712
y[1] (numeric) = 1.4300712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.567
y[1] (analytic) = 1.4312978
y[1] (numeric) = 1.4312978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.568
y[1] (analytic) = 1.4325248
y[1] (numeric) = 1.4325248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.569
y[1] (analytic) = 1.4337522
y[1] (numeric) = 1.4337522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.57
y[1] (analytic) = 1.43498
y[1] (numeric) = 1.43498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.571
y[1] (analytic) = 1.4362082
y[1] (numeric) = 1.4362082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.572
y[1] (analytic) = 1.4374368
y[1] (numeric) = 1.4374368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.573
y[1] (analytic) = 1.4386658
y[1] (numeric) = 1.4386658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.574
y[1] (analytic) = 1.4398952
y[1] (numeric) = 1.4398952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.575
y[1] (analytic) = 1.441125
y[1] (numeric) = 1.441125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.576
y[1] (analytic) = 1.4423552
y[1] (numeric) = 1.4423552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.577
y[1] (analytic) = 1.4435858
y[1] (numeric) = 1.4435858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.578
y[1] (analytic) = 1.4448168
y[1] (numeric) = 1.4448168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.579
y[1] (analytic) = 1.4460482
y[1] (numeric) = 1.4460482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.58
y[1] (analytic) = 1.44728
y[1] (numeric) = 1.44728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.581
y[1] (analytic) = 1.4485122
y[1] (numeric) = 1.4485122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.582
y[1] (analytic) = 1.4497448
y[1] (numeric) = 1.4497448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.583
y[1] (analytic) = 1.4509778
y[1] (numeric) = 1.4509778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.584
y[1] (analytic) = 1.4522112
y[1] (numeric) = 1.4522112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.585
y[1] (analytic) = 1.453445
y[1] (numeric) = 1.453445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.586
y[1] (analytic) = 1.4546792
y[1] (numeric) = 1.4546792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.587
y[1] (analytic) = 1.4559138
y[1] (numeric) = 1.4559138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.588
y[1] (analytic) = 1.4571488
y[1] (numeric) = 1.4571488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.589
y[1] (analytic) = 1.4583842
y[1] (numeric) = 1.4583842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.59
y[1] (analytic) = 1.45962
y[1] (numeric) = 1.45962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
memory used=87.7MB, alloc=3.9MB, time=14.44
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.591
y[1] (analytic) = 1.4608562
y[1] (numeric) = 1.4608562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.592
y[1] (analytic) = 1.4620928
y[1] (numeric) = 1.4620928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.593
y[1] (analytic) = 1.4633298
y[1] (numeric) = 1.4633298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.594
y[1] (analytic) = 1.4645672
y[1] (numeric) = 1.4645672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.595
y[1] (analytic) = 1.465805
y[1] (numeric) = 1.465805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.596
y[1] (analytic) = 1.4670432
y[1] (numeric) = 1.4670432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.597
y[1] (analytic) = 1.4682818
y[1] (numeric) = 1.4682818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.598
y[1] (analytic) = 1.4695208
y[1] (numeric) = 1.4695208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.599
y[1] (analytic) = 1.4707602
y[1] (numeric) = 1.4707602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.6
y[1] (analytic) = 1.472
y[1] (numeric) = 1.472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.601
y[1] (analytic) = 1.4732402
y[1] (numeric) = 1.4732402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.602
y[1] (analytic) = 1.4744808
y[1] (numeric) = 1.4744808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.603
y[1] (analytic) = 1.4757218
y[1] (numeric) = 1.4757218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.604
y[1] (analytic) = 1.4769632
y[1] (numeric) = 1.4769632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.605
y[1] (analytic) = 1.478205
y[1] (numeric) = 1.478205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.606
y[1] (analytic) = 1.4794472
y[1] (numeric) = 1.4794472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.607
y[1] (analytic) = 1.4806898
y[1] (numeric) = 1.4806898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.608
y[1] (analytic) = 1.4819328
y[1] (numeric) = 1.4819328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.609
y[1] (analytic) = 1.4831762
y[1] (numeric) = 1.4831762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.61
y[1] (analytic) = 1.48442
y[1] (numeric) = 1.48442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.611
y[1] (analytic) = 1.4856642
y[1] (numeric) = 1.4856642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.612
y[1] (analytic) = 1.4869088
y[1] (numeric) = 1.4869088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.613
y[1] (analytic) = 1.4881538
y[1] (numeric) = 1.4881538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.614
y[1] (analytic) = 1.4893992
y[1] (numeric) = 1.4893992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.615
y[1] (analytic) = 1.490645
y[1] (numeric) = 1.490645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.616
y[1] (analytic) = 1.4918912
y[1] (numeric) = 1.4918912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.617
y[1] (analytic) = 1.4931378
y[1] (numeric) = 1.4931378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.618
y[1] (analytic) = 1.4943848
y[1] (numeric) = 1.4943848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.619
y[1] (analytic) = 1.4956322
y[1] (numeric) = 1.4956322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.62
y[1] (analytic) = 1.49688
y[1] (numeric) = 1.49688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.621
y[1] (analytic) = 1.4981282
y[1] (numeric) = 1.4981282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.622
y[1] (analytic) = 1.4993768
y[1] (numeric) = 1.4993768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.623
y[1] (analytic) = 1.5006258
y[1] (numeric) = 1.5006258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.624
y[1] (analytic) = 1.5018752
y[1] (numeric) = 1.5018752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.625
y[1] (analytic) = 1.503125
y[1] (numeric) = 1.503125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.626
y[1] (analytic) = 1.5043752
y[1] (numeric) = 1.5043752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.627
y[1] (analytic) = 1.5056258
y[1] (numeric) = 1.5056258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.628
y[1] (analytic) = 1.5068768
y[1] (numeric) = 1.5068768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.629
y[1] (analytic) = 1.5081282
y[1] (numeric) = 1.5081282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.63
y[1] (analytic) = 1.50938
y[1] (numeric) = 1.50938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.631
y[1] (analytic) = 1.5106322
y[1] (numeric) = 1.5106322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.632
y[1] (analytic) = 1.5118848
y[1] (numeric) = 1.5118848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.633
y[1] (analytic) = 1.5131378
y[1] (numeric) = 1.5131378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.634
y[1] (analytic) = 1.5143912
y[1] (numeric) = 1.5143912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.635
y[1] (analytic) = 1.515645
y[1] (numeric) = 1.515645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.636
y[1] (analytic) = 1.5168992
y[1] (numeric) = 1.5168992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.637
y[1] (analytic) = 1.5181538
y[1] (numeric) = 1.5181538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.638
y[1] (analytic) = 1.5194088
y[1] (numeric) = 1.5194088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.639
y[1] (analytic) = 1.5206642
y[1] (numeric) = 1.5206642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.64
y[1] (analytic) = 1.52192
y[1] (numeric) = 1.52192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.641
y[1] (analytic) = 1.5231762
y[1] (numeric) = 1.5231762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.642
y[1] (analytic) = 1.5244328
y[1] (numeric) = 1.5244328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.643
y[1] (analytic) = 1.5256898
y[1] (numeric) = 1.5256898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.644
y[1] (analytic) = 1.5269472
y[1] (numeric) = 1.5269472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.645
y[1] (analytic) = 1.528205
y[1] (numeric) = 1.528205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.646
y[1] (analytic) = 1.5294632
y[1] (numeric) = 1.5294632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.647
y[1] (analytic) = 1.5307218
y[1] (numeric) = 1.5307218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.648
y[1] (analytic) = 1.5319808
y[1] (numeric) = 1.5319808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.649
y[1] (analytic) = 1.5332402
y[1] (numeric) = 1.5332402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.65
y[1] (analytic) = 1.5345
y[1] (numeric) = 1.5345
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.651
y[1] (analytic) = 1.5357602
y[1] (numeric) = 1.5357602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.652
y[1] (analytic) = 1.5370208
y[1] (numeric) = 1.5370208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.653
y[1] (analytic) = 1.5382818
y[1] (numeric) = 1.5382818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.654
y[1] (analytic) = 1.5395432
y[1] (numeric) = 1.5395432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.655
y[1] (analytic) = 1.540805
y[1] (numeric) = 1.540805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.656
y[1] (analytic) = 1.5420672
y[1] (numeric) = 1.5420672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=3.9MB, time=15.07
NO POLE
x[1] = 1.657
y[1] (analytic) = 1.5433298
y[1] (numeric) = 1.5433298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.658
y[1] (analytic) = 1.5445928
y[1] (numeric) = 1.5445928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.659
y[1] (analytic) = 1.5458562
y[1] (numeric) = 1.5458562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.66
y[1] (analytic) = 1.54712
y[1] (numeric) = 1.54712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.661
y[1] (analytic) = 1.5483842
y[1] (numeric) = 1.5483842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.662
y[1] (analytic) = 1.5496488
y[1] (numeric) = 1.5496488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.663
y[1] (analytic) = 1.5509138
y[1] (numeric) = 1.5509138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.664
y[1] (analytic) = 1.5521792
y[1] (numeric) = 1.5521792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.665
y[1] (analytic) = 1.553445
y[1] (numeric) = 1.553445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.666
y[1] (analytic) = 1.5547112
y[1] (numeric) = 1.5547112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.667
y[1] (analytic) = 1.5559778
y[1] (numeric) = 1.5559778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.668
y[1] (analytic) = 1.5572448
y[1] (numeric) = 1.5572448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.669
y[1] (analytic) = 1.5585122
y[1] (numeric) = 1.5585122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.67
y[1] (analytic) = 1.55978
y[1] (numeric) = 1.55978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.671
y[1] (analytic) = 1.5610482
y[1] (numeric) = 1.5610482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.672
y[1] (analytic) = 1.5623168
y[1] (numeric) = 1.5623168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.673
y[1] (analytic) = 1.5635858
y[1] (numeric) = 1.5635858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.674
y[1] (analytic) = 1.5648552
y[1] (numeric) = 1.5648552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.675
y[1] (analytic) = 1.566125
y[1] (numeric) = 1.566125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.676
y[1] (analytic) = 1.5673952
y[1] (numeric) = 1.5673952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.677
y[1] (analytic) = 1.5686658
y[1] (numeric) = 1.5686658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.678
y[1] (analytic) = 1.5699368
y[1] (numeric) = 1.5699368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.679
y[1] (analytic) = 1.5712082
y[1] (numeric) = 1.5712082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.68
y[1] (analytic) = 1.57248
y[1] (numeric) = 1.57248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.681
y[1] (analytic) = 1.5737522
y[1] (numeric) = 1.5737522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.682
y[1] (analytic) = 1.5750248
y[1] (numeric) = 1.5750248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.683
y[1] (analytic) = 1.5762978
y[1] (numeric) = 1.5762978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.684
y[1] (analytic) = 1.5775712
y[1] (numeric) = 1.5775712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.685
y[1] (analytic) = 1.578845
y[1] (numeric) = 1.578845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.686
y[1] (analytic) = 1.5801192
y[1] (numeric) = 1.5801192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.687
y[1] (analytic) = 1.5813938
y[1] (numeric) = 1.5813938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.688
y[1] (analytic) = 1.5826688
y[1] (numeric) = 1.5826688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.689
y[1] (analytic) = 1.5839442
y[1] (numeric) = 1.5839442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.69
y[1] (analytic) = 1.58522
y[1] (numeric) = 1.58522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.691
y[1] (analytic) = 1.5864962
y[1] (numeric) = 1.5864962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.692
y[1] (analytic) = 1.5877728
y[1] (numeric) = 1.5877728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.693
y[1] (analytic) = 1.5890498
y[1] (numeric) = 1.5890498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.694
y[1] (analytic) = 1.5903272
y[1] (numeric) = 1.5903272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.695
y[1] (analytic) = 1.591605
y[1] (numeric) = 1.591605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.696
y[1] (analytic) = 1.5928832
y[1] (numeric) = 1.5928832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.697
y[1] (analytic) = 1.5941618
y[1] (numeric) = 1.5941618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.698
y[1] (analytic) = 1.5954408
y[1] (numeric) = 1.5954408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.699
y[1] (analytic) = 1.5967202
y[1] (numeric) = 1.5967202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.7
y[1] (analytic) = 1.598
y[1] (numeric) = 1.598
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.701
y[1] (analytic) = 1.5992802
y[1] (numeric) = 1.5992802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.702
y[1] (analytic) = 1.6005608
y[1] (numeric) = 1.6005608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.703
y[1] (analytic) = 1.6018418
y[1] (numeric) = 1.6018418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.704
y[1] (analytic) = 1.6031232
y[1] (numeric) = 1.6031232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.705
y[1] (analytic) = 1.604405
y[1] (numeric) = 1.604405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.706
y[1] (analytic) = 1.6056872
y[1] (numeric) = 1.6056872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.707
y[1] (analytic) = 1.6069698
y[1] (numeric) = 1.6069698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.708
y[1] (analytic) = 1.6082528
y[1] (numeric) = 1.6082528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.709
y[1] (analytic) = 1.6095362
y[1] (numeric) = 1.6095362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.71
y[1] (analytic) = 1.61082
y[1] (numeric) = 1.61082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.711
y[1] (analytic) = 1.6121042
y[1] (numeric) = 1.6121042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.712
y[1] (analytic) = 1.6133888
y[1] (numeric) = 1.6133888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.713
y[1] (analytic) = 1.6146738
y[1] (numeric) = 1.6146738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.714
y[1] (analytic) = 1.6159592
y[1] (numeric) = 1.6159592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.715
y[1] (analytic) = 1.617245
y[1] (numeric) = 1.617245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.716
y[1] (analytic) = 1.6185312
y[1] (numeric) = 1.6185312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.717
y[1] (analytic) = 1.6198178
y[1] (numeric) = 1.6198178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.718
y[1] (analytic) = 1.6211048
y[1] (numeric) = 1.6211048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.719
y[1] (analytic) = 1.6223922
y[1] (numeric) = 1.6223922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.72
y[1] (analytic) = 1.62368
y[1] (numeric) = 1.62368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.721
y[1] (analytic) = 1.6249682
y[1] (numeric) = 1.6249682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.722
y[1] (analytic) = 1.6262568
y[1] (numeric) = 1.6262568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=3.9MB, time=15.70
NO POLE
x[1] = 1.723
y[1] (analytic) = 1.6275458
y[1] (numeric) = 1.6275458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.724
y[1] (analytic) = 1.6288352
y[1] (numeric) = 1.6288352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.725
y[1] (analytic) = 1.630125
y[1] (numeric) = 1.630125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.726
y[1] (analytic) = 1.6314152
y[1] (numeric) = 1.6314152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.727
y[1] (analytic) = 1.6327058
y[1] (numeric) = 1.6327058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.728
y[1] (analytic) = 1.6339968
y[1] (numeric) = 1.6339968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.729
y[1] (analytic) = 1.6352882
y[1] (numeric) = 1.6352882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.73
y[1] (analytic) = 1.63658
y[1] (numeric) = 1.63658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.731
y[1] (analytic) = 1.6378722
y[1] (numeric) = 1.6378722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.732
y[1] (analytic) = 1.6391648
y[1] (numeric) = 1.6391648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.733
y[1] (analytic) = 1.6404578
y[1] (numeric) = 1.6404578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.734
y[1] (analytic) = 1.6417512
y[1] (numeric) = 1.6417512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.735
y[1] (analytic) = 1.643045
y[1] (numeric) = 1.643045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.736
y[1] (analytic) = 1.6443392
y[1] (numeric) = 1.6443392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.737
y[1] (analytic) = 1.6456338
y[1] (numeric) = 1.6456338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.738
y[1] (analytic) = 1.6469288
y[1] (numeric) = 1.6469288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.739
y[1] (analytic) = 1.6482242
y[1] (numeric) = 1.6482242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.74
y[1] (analytic) = 1.64952
y[1] (numeric) = 1.64952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.741
y[1] (analytic) = 1.6508162
y[1] (numeric) = 1.6508162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.742
y[1] (analytic) = 1.6521128
y[1] (numeric) = 1.6521128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.743
y[1] (analytic) = 1.6534098
y[1] (numeric) = 1.6534098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.744
y[1] (analytic) = 1.6547072
y[1] (numeric) = 1.6547072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.745
y[1] (analytic) = 1.656005
y[1] (numeric) = 1.656005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.746
y[1] (analytic) = 1.6573032
y[1] (numeric) = 1.6573032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.747
y[1] (analytic) = 1.6586018
y[1] (numeric) = 1.6586018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.748
y[1] (analytic) = 1.6599008
y[1] (numeric) = 1.6599008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.749
y[1] (analytic) = 1.6612002
y[1] (numeric) = 1.6612002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.75
y[1] (analytic) = 1.6625
y[1] (numeric) = 1.6625
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.751
y[1] (analytic) = 1.6638002
y[1] (numeric) = 1.6638002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.752
y[1] (analytic) = 1.6651008
y[1] (numeric) = 1.6651008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.753
y[1] (analytic) = 1.6664018
y[1] (numeric) = 1.6664018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.754
y[1] (analytic) = 1.6677032
y[1] (numeric) = 1.6677032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.755
y[1] (analytic) = 1.669005
y[1] (numeric) = 1.669005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.756
y[1] (analytic) = 1.6703072
y[1] (numeric) = 1.6703072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.757
y[1] (analytic) = 1.6716098
y[1] (numeric) = 1.6716098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.758
y[1] (analytic) = 1.6729128
y[1] (numeric) = 1.6729128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.759
y[1] (analytic) = 1.6742162
y[1] (numeric) = 1.6742162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.76
y[1] (analytic) = 1.67552
y[1] (numeric) = 1.67552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.761
y[1] (analytic) = 1.6768242
y[1] (numeric) = 1.6768242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.762
y[1] (analytic) = 1.6781288
y[1] (numeric) = 1.6781288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.763
y[1] (analytic) = 1.6794338
y[1] (numeric) = 1.6794338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.764
y[1] (analytic) = 1.6807392
y[1] (numeric) = 1.6807392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.765
y[1] (analytic) = 1.682045
y[1] (numeric) = 1.682045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.766
y[1] (analytic) = 1.6833512
y[1] (numeric) = 1.6833512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.767
y[1] (analytic) = 1.6846578
y[1] (numeric) = 1.6846578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.768
y[1] (analytic) = 1.6859648
y[1] (numeric) = 1.6859648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.769
y[1] (analytic) = 1.6872722
y[1] (numeric) = 1.6872722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.77
y[1] (analytic) = 1.68858
y[1] (numeric) = 1.68858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.771
y[1] (analytic) = 1.6898882
y[1] (numeric) = 1.6898882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.772
y[1] (analytic) = 1.6911968
y[1] (numeric) = 1.6911968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.773
y[1] (analytic) = 1.6925058
y[1] (numeric) = 1.6925058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.774
y[1] (analytic) = 1.6938152
y[1] (numeric) = 1.6938152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.775
y[1] (analytic) = 1.695125
y[1] (numeric) = 1.695125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.776
y[1] (analytic) = 1.6964352
y[1] (numeric) = 1.6964352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.777
y[1] (analytic) = 1.6977458
y[1] (numeric) = 1.6977458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.778
y[1] (analytic) = 1.6990568
y[1] (numeric) = 1.6990568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.779
y[1] (analytic) = 1.7003682
y[1] (numeric) = 1.7003682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.78
y[1] (analytic) = 1.70168
y[1] (numeric) = 1.70168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.781
y[1] (analytic) = 1.7029922
y[1] (numeric) = 1.7029922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.782
y[1] (analytic) = 1.7043048
y[1] (numeric) = 1.7043048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.783
y[1] (analytic) = 1.7056178
y[1] (numeric) = 1.7056178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.784
y[1] (analytic) = 1.7069312
y[1] (numeric) = 1.7069312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.785
y[1] (analytic) = 1.708245
y[1] (numeric) = 1.708245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.786
y[1] (analytic) = 1.7095592
y[1] (numeric) = 1.7095592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.787
y[1] (analytic) = 1.7108738
y[1] (numeric) = 1.7108738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.788
y[1] (analytic) = 1.7121888
y[1] (numeric) = 1.7121888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=3.9MB, time=16.33
NO POLE
x[1] = 1.789
y[1] (analytic) = 1.7135042
y[1] (numeric) = 1.7135042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.79
y[1] (analytic) = 1.71482
y[1] (numeric) = 1.71482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.791
y[1] (analytic) = 1.7161362
y[1] (numeric) = 1.7161362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.792
y[1] (analytic) = 1.7174528
y[1] (numeric) = 1.7174528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.793
y[1] (analytic) = 1.7187698
y[1] (numeric) = 1.7187698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.794
y[1] (analytic) = 1.7200872
y[1] (numeric) = 1.7200872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.795
y[1] (analytic) = 1.721405
y[1] (numeric) = 1.721405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.796
y[1] (analytic) = 1.7227232
y[1] (numeric) = 1.7227232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.797
y[1] (analytic) = 1.7240418
y[1] (numeric) = 1.7240418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.798
y[1] (analytic) = 1.7253608
y[1] (numeric) = 1.7253608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.799
y[1] (analytic) = 1.7266802
y[1] (numeric) = 1.7266802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8
y[1] (analytic) = 1.728
y[1] (numeric) = 1.728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.801
y[1] (analytic) = 1.7293202
y[1] (numeric) = 1.7293202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.802
y[1] (analytic) = 1.7306408
y[1] (numeric) = 1.7306408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.803
y[1] (analytic) = 1.7319618
y[1] (numeric) = 1.7319618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.804
y[1] (analytic) = 1.7332832
y[1] (numeric) = 1.7332832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.805
y[1] (analytic) = 1.734605
y[1] (numeric) = 1.734605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.806
y[1] (analytic) = 1.7359272
y[1] (numeric) = 1.7359272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.807
y[1] (analytic) = 1.7372498
y[1] (numeric) = 1.7372498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.808
y[1] (analytic) = 1.7385728
y[1] (numeric) = 1.7385728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.809
y[1] (analytic) = 1.7398962
y[1] (numeric) = 1.7398962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.81
y[1] (analytic) = 1.74122
y[1] (numeric) = 1.74122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.811
y[1] (analytic) = 1.7425442
y[1] (numeric) = 1.7425442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.812
y[1] (analytic) = 1.7438688
y[1] (numeric) = 1.7438688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.813
y[1] (analytic) = 1.7451938
y[1] (numeric) = 1.7451938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.814
y[1] (analytic) = 1.7465192
y[1] (numeric) = 1.7465192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.815
y[1] (analytic) = 1.747845
y[1] (numeric) = 1.747845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.816
y[1] (analytic) = 1.7491712
y[1] (numeric) = 1.7491712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.817
y[1] (analytic) = 1.7504978
y[1] (numeric) = 1.7504978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.818
y[1] (analytic) = 1.7518248
y[1] (numeric) = 1.7518248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.819
y[1] (analytic) = 1.7531522
y[1] (numeric) = 1.7531522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.82
y[1] (analytic) = 1.75448
y[1] (numeric) = 1.75448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.821
y[1] (analytic) = 1.7558082
y[1] (numeric) = 1.7558082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.822
y[1] (analytic) = 1.7571368
y[1] (numeric) = 1.7571368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.823
y[1] (analytic) = 1.7584658
y[1] (numeric) = 1.7584658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.824
y[1] (analytic) = 1.7597952
y[1] (numeric) = 1.7597952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.825
y[1] (analytic) = 1.761125
y[1] (numeric) = 1.761125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.826
y[1] (analytic) = 1.7624552
y[1] (numeric) = 1.7624552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.827
y[1] (analytic) = 1.7637858
y[1] (numeric) = 1.7637858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.828
y[1] (analytic) = 1.7651168
y[1] (numeric) = 1.7651168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.829
y[1] (analytic) = 1.7664482
y[1] (numeric) = 1.7664482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.83
y[1] (analytic) = 1.76778
y[1] (numeric) = 1.76778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.831
y[1] (analytic) = 1.7691122
y[1] (numeric) = 1.7691122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.832
y[1] (analytic) = 1.7704448
y[1] (numeric) = 1.7704448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.833
y[1] (analytic) = 1.7717778
y[1] (numeric) = 1.7717778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.834
y[1] (analytic) = 1.7731112
y[1] (numeric) = 1.7731112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.835
y[1] (analytic) = 1.774445
y[1] (numeric) = 1.774445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.836
y[1] (analytic) = 1.7757792
y[1] (numeric) = 1.7757792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.837
y[1] (analytic) = 1.7771138
y[1] (numeric) = 1.7771138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.838
y[1] (analytic) = 1.7784488
y[1] (numeric) = 1.7784488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.839
y[1] (analytic) = 1.7797842
y[1] (numeric) = 1.7797842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.84
y[1] (analytic) = 1.78112
y[1] (numeric) = 1.78112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.841
y[1] (analytic) = 1.7824562
y[1] (numeric) = 1.7824562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.842
y[1] (analytic) = 1.7837928
y[1] (numeric) = 1.7837928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.843
y[1] (analytic) = 1.7851298
y[1] (numeric) = 1.7851298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.844
y[1] (analytic) = 1.7864672
y[1] (numeric) = 1.7864672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.845
y[1] (analytic) = 1.787805
y[1] (numeric) = 1.787805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.846
y[1] (analytic) = 1.7891432
y[1] (numeric) = 1.7891432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.847
y[1] (analytic) = 1.7904818
y[1] (numeric) = 1.7904818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.848
y[1] (analytic) = 1.7918208
y[1] (numeric) = 1.7918208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.849
y[1] (analytic) = 1.7931602
y[1] (numeric) = 1.7931602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.85
y[1] (analytic) = 1.7945
y[1] (numeric) = 1.7945
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.851
y[1] (analytic) = 1.7958402
y[1] (numeric) = 1.7958402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.852
y[1] (analytic) = 1.7971808
y[1] (numeric) = 1.7971808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.853
y[1] (analytic) = 1.7985218
y[1] (numeric) = 1.7985218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.854
y[1] (analytic) = 1.7998632
y[1] (numeric) = 1.7998632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=103.0MB, alloc=3.9MB, time=16.93
NO POLE
x[1] = 1.855
y[1] (analytic) = 1.801205
y[1] (numeric) = 1.801205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.856
y[1] (analytic) = 1.8025472
y[1] (numeric) = 1.8025472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.857
y[1] (analytic) = 1.8038898
y[1] (numeric) = 1.8038898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.858
y[1] (analytic) = 1.8052328
y[1] (numeric) = 1.8052328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.859
y[1] (analytic) = 1.8065762
y[1] (numeric) = 1.8065762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.86
y[1] (analytic) = 1.80792
y[1] (numeric) = 1.80792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.861
y[1] (analytic) = 1.8092642
y[1] (numeric) = 1.8092642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.862
y[1] (analytic) = 1.8106088
y[1] (numeric) = 1.8106088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.863
y[1] (analytic) = 1.8119538
y[1] (numeric) = 1.8119538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.864
y[1] (analytic) = 1.8132992
y[1] (numeric) = 1.8132992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.865
y[1] (analytic) = 1.814645
y[1] (numeric) = 1.814645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.866
y[1] (analytic) = 1.8159912
y[1] (numeric) = 1.8159912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.867
y[1] (analytic) = 1.8173378
y[1] (numeric) = 1.8173378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.868
y[1] (analytic) = 1.8186848
y[1] (numeric) = 1.8186848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.869
y[1] (analytic) = 1.8200322
y[1] (numeric) = 1.8200322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.87
y[1] (analytic) = 1.82138
y[1] (numeric) = 1.82138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.871
y[1] (analytic) = 1.8227282
y[1] (numeric) = 1.8227282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.872
y[1] (analytic) = 1.8240768
y[1] (numeric) = 1.8240768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.873
y[1] (analytic) = 1.8254258
y[1] (numeric) = 1.8254258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.874
y[1] (analytic) = 1.8267752
y[1] (numeric) = 1.8267752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.875
y[1] (analytic) = 1.828125
y[1] (numeric) = 1.828125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.876
y[1] (analytic) = 1.8294752
y[1] (numeric) = 1.8294752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.877
y[1] (analytic) = 1.8308258
y[1] (numeric) = 1.8308258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.878
y[1] (analytic) = 1.8321768
y[1] (numeric) = 1.8321768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.879
y[1] (analytic) = 1.8335282
y[1] (numeric) = 1.8335282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.88
y[1] (analytic) = 1.83488
y[1] (numeric) = 1.83488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.881
y[1] (analytic) = 1.8362322
y[1] (numeric) = 1.8362322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.882
y[1] (analytic) = 1.8375848
y[1] (numeric) = 1.8375848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.883
y[1] (analytic) = 1.8389378
y[1] (numeric) = 1.8389378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.884
y[1] (analytic) = 1.8402912
y[1] (numeric) = 1.8402912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.885
y[1] (analytic) = 1.841645
y[1] (numeric) = 1.841645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.886
y[1] (analytic) = 1.8429992
y[1] (numeric) = 1.8429992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.887
y[1] (analytic) = 1.8443538
y[1] (numeric) = 1.8443538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.888
y[1] (analytic) = 1.8457088
y[1] (numeric) = 1.8457088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.889
y[1] (analytic) = 1.8470642
y[1] (numeric) = 1.8470642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.89
y[1] (analytic) = 1.84842
y[1] (numeric) = 1.84842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.891
y[1] (analytic) = 1.8497762
y[1] (numeric) = 1.8497762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.892
y[1] (analytic) = 1.8511328
y[1] (numeric) = 1.8511328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.893
y[1] (analytic) = 1.8524898
y[1] (numeric) = 1.8524898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.894
y[1] (analytic) = 1.8538472
y[1] (numeric) = 1.8538472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.895
y[1] (analytic) = 1.855205
y[1] (numeric) = 1.855205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.896
y[1] (analytic) = 1.8565632
y[1] (numeric) = 1.8565632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.897
y[1] (analytic) = 1.8579218
y[1] (numeric) = 1.8579218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.898
y[1] (analytic) = 1.8592808
y[1] (numeric) = 1.8592808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.899
y[1] (analytic) = 1.8606402
y[1] (numeric) = 1.8606402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9
y[1] (analytic) = 1.862
y[1] (numeric) = 1.862
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.901
y[1] (analytic) = 1.8633602
y[1] (numeric) = 1.8633602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.902
y[1] (analytic) = 1.8647208
y[1] (numeric) = 1.8647208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.903
y[1] (analytic) = 1.8660818
y[1] (numeric) = 1.8660818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.904
y[1] (analytic) = 1.8674432
y[1] (numeric) = 1.8674432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.905
y[1] (analytic) = 1.868805
y[1] (numeric) = 1.868805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.906
y[1] (analytic) = 1.8701672
y[1] (numeric) = 1.8701672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.907
y[1] (analytic) = 1.8715298
y[1] (numeric) = 1.8715298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.908
y[1] (analytic) = 1.8728928
y[1] (numeric) = 1.8728928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.909
y[1] (analytic) = 1.8742562
y[1] (numeric) = 1.8742562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.91
y[1] (analytic) = 1.87562
y[1] (numeric) = 1.87562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.911
y[1] (analytic) = 1.8769842
y[1] (numeric) = 1.8769842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.912
y[1] (analytic) = 1.8783488
y[1] (numeric) = 1.8783488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.913
y[1] (analytic) = 1.8797138
y[1] (numeric) = 1.8797138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.914
y[1] (analytic) = 1.8810792
y[1] (numeric) = 1.8810792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.915
y[1] (analytic) = 1.882445
y[1] (numeric) = 1.882445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.916
y[1] (analytic) = 1.8838112
y[1] (numeric) = 1.8838112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.917
y[1] (analytic) = 1.8851778
y[1] (numeric) = 1.8851778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.918
y[1] (analytic) = 1.8865448
y[1] (numeric) = 1.8865448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.919
y[1] (analytic) = 1.8879122
y[1] (numeric) = 1.8879122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.92
y[1] (analytic) = 1.88928
y[1] (numeric) = 1.88928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=106.8MB, alloc=3.9MB, time=17.55
NO POLE
x[1] = 1.921
y[1] (analytic) = 1.8906482
y[1] (numeric) = 1.8906482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.922
y[1] (analytic) = 1.8920168
y[1] (numeric) = 1.8920168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.923
y[1] (analytic) = 1.8933858
y[1] (numeric) = 1.8933858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.924
y[1] (analytic) = 1.8947552
y[1] (numeric) = 1.8947552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.925
y[1] (analytic) = 1.896125
y[1] (numeric) = 1.896125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.926
y[1] (analytic) = 1.8974952
y[1] (numeric) = 1.8974952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.927
y[1] (analytic) = 1.8988658
y[1] (numeric) = 1.8988658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.928
y[1] (analytic) = 1.9002368
y[1] (numeric) = 1.9002368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.929
y[1] (analytic) = 1.9016082
y[1] (numeric) = 1.9016082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.93
y[1] (analytic) = 1.90298
y[1] (numeric) = 1.90298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.931
y[1] (analytic) = 1.9043522
y[1] (numeric) = 1.9043522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.932
y[1] (analytic) = 1.9057248
y[1] (numeric) = 1.9057248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.933
y[1] (analytic) = 1.9070978
y[1] (numeric) = 1.9070978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.934
y[1] (analytic) = 1.9084712
y[1] (numeric) = 1.9084712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.935
y[1] (analytic) = 1.909845
y[1] (numeric) = 1.909845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.936
y[1] (analytic) = 1.9112192
y[1] (numeric) = 1.9112192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.937
y[1] (analytic) = 1.9125938
y[1] (numeric) = 1.9125938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.938
y[1] (analytic) = 1.9139688
y[1] (numeric) = 1.9139688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.939
y[1] (analytic) = 1.9153442
y[1] (numeric) = 1.9153442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.94
y[1] (analytic) = 1.91672
y[1] (numeric) = 1.91672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.941
y[1] (analytic) = 1.9180962
y[1] (numeric) = 1.9180962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.942
y[1] (analytic) = 1.9194728
y[1] (numeric) = 1.9194728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.943
y[1] (analytic) = 1.9208498
y[1] (numeric) = 1.9208498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.944
y[1] (analytic) = 1.9222272
y[1] (numeric) = 1.9222272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.945
y[1] (analytic) = 1.923605
y[1] (numeric) = 1.923605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.946
y[1] (analytic) = 1.9249832
y[1] (numeric) = 1.9249832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.947
y[1] (analytic) = 1.9263618
y[1] (numeric) = 1.9263618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.948
y[1] (analytic) = 1.9277408
y[1] (numeric) = 1.9277408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.949
y[1] (analytic) = 1.9291202
y[1] (numeric) = 1.9291202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.95
y[1] (analytic) = 1.9305
y[1] (numeric) = 1.9305
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.951
y[1] (analytic) = 1.9318802
y[1] (numeric) = 1.9318802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.952
y[1] (analytic) = 1.9332608
y[1] (numeric) = 1.9332608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.953
y[1] (analytic) = 1.9346418
y[1] (numeric) = 1.9346418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.954
y[1] (analytic) = 1.9360232
y[1] (numeric) = 1.9360232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.955
y[1] (analytic) = 1.937405
y[1] (numeric) = 1.937405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.956
y[1] (analytic) = 1.9387872
y[1] (numeric) = 1.9387872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.957
y[1] (analytic) = 1.9401698
y[1] (numeric) = 1.9401698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.958
y[1] (analytic) = 1.9415528
y[1] (numeric) = 1.9415528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.959
y[1] (analytic) = 1.9429362
y[1] (numeric) = 1.9429362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.96
y[1] (analytic) = 1.94432
y[1] (numeric) = 1.94432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.961
y[1] (analytic) = 1.9457042
y[1] (numeric) = 1.9457042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.962
y[1] (analytic) = 1.9470888
y[1] (numeric) = 1.9470888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.963
y[1] (analytic) = 1.9484738
y[1] (numeric) = 1.9484738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.964
y[1] (analytic) = 1.9498592
y[1] (numeric) = 1.9498592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.965
y[1] (analytic) = 1.951245
y[1] (numeric) = 1.951245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.966
y[1] (analytic) = 1.9526312
y[1] (numeric) = 1.9526312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.967
y[1] (analytic) = 1.9540178
y[1] (numeric) = 1.9540178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.968
y[1] (analytic) = 1.9554048
y[1] (numeric) = 1.9554048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.969
y[1] (analytic) = 1.9567922
y[1] (numeric) = 1.9567922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.97
y[1] (analytic) = 1.95818
y[1] (numeric) = 1.95818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.971
y[1] (analytic) = 1.9595682
y[1] (numeric) = 1.9595682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.972
y[1] (analytic) = 1.9609568
y[1] (numeric) = 1.9609568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.973
y[1] (analytic) = 1.9623458
y[1] (numeric) = 1.9623458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.974
y[1] (analytic) = 1.9637352
y[1] (numeric) = 1.9637352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.975
y[1] (analytic) = 1.965125
y[1] (numeric) = 1.965125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.976
y[1] (analytic) = 1.9665152
y[1] (numeric) = 1.9665152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.977
y[1] (analytic) = 1.9679058
y[1] (numeric) = 1.9679058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.978
y[1] (analytic) = 1.9692968
y[1] (numeric) = 1.9692968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.979
y[1] (analytic) = 1.9706882
y[1] (numeric) = 1.9706882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.98
y[1] (analytic) = 1.97208
y[1] (numeric) = 1.97208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.981
y[1] (analytic) = 1.9734722
y[1] (numeric) = 1.9734722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.982
y[1] (analytic) = 1.9748648
y[1] (numeric) = 1.9748648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.983
y[1] (analytic) = 1.9762578
y[1] (numeric) = 1.9762578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.984
y[1] (analytic) = 1.9776512
y[1] (numeric) = 1.9776512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.985
y[1] (analytic) = 1.979045
y[1] (numeric) = 1.979045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.986
y[1] (analytic) = 1.9804392
y[1] (numeric) = 1.9804392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=3.9MB, time=18.16
NO POLE
x[1] = 1.987
y[1] (analytic) = 1.9818338
y[1] (numeric) = 1.9818338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.988
y[1] (analytic) = 1.9832288
y[1] (numeric) = 1.9832288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.989
y[1] (analytic) = 1.9846242
y[1] (numeric) = 1.9846242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.99
y[1] (analytic) = 1.98602
y[1] (numeric) = 1.98602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.991
y[1] (analytic) = 1.9874162
y[1] (numeric) = 1.9874162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.992
y[1] (analytic) = 1.9888128
y[1] (numeric) = 1.9888128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.993
y[1] (analytic) = 1.9902098
y[1] (numeric) = 1.9902098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.994
y[1] (analytic) = 1.9916072
y[1] (numeric) = 1.9916072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.995
y[1] (analytic) = 1.993005
y[1] (numeric) = 1.993005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.996
y[1] (analytic) = 1.9944032
y[1] (numeric) = 1.9944032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.997
y[1] (analytic) = 1.9958018
y[1] (numeric) = 1.9958018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.998
y[1] (analytic) = 1.9972008
y[1] (numeric) = 1.9972008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.999
y[1] (analytic) = 1.9986002
y[1] (numeric) = 1.9986002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2
y[1] (analytic) = 2
y[1] (numeric) = 2
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.001
y[1] (analytic) = 2.0014002
y[1] (numeric) = 2.0014002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.002
y[1] (analytic) = 2.0028008
y[1] (numeric) = 2.0028008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.003
y[1] (analytic) = 2.0042018
y[1] (numeric) = 2.0042018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.004
y[1] (analytic) = 2.0056032
y[1] (numeric) = 2.0056032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.005
y[1] (analytic) = 2.007005
y[1] (numeric) = 2.007005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.006
y[1] (analytic) = 2.0084072
y[1] (numeric) = 2.0084072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.007
y[1] (analytic) = 2.0098098
y[1] (numeric) = 2.0098098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.008
y[1] (analytic) = 2.0112128
y[1] (numeric) = 2.0112128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.009
y[1] (analytic) = 2.0126162
y[1] (numeric) = 2.0126162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.01
y[1] (analytic) = 2.01402
y[1] (numeric) = 2.01402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.011
y[1] (analytic) = 2.0154242
y[1] (numeric) = 2.0154242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.012
y[1] (analytic) = 2.0168288
y[1] (numeric) = 2.0168288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.013
y[1] (analytic) = 2.0182338
y[1] (numeric) = 2.0182338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.014
y[1] (analytic) = 2.0196392
y[1] (numeric) = 2.0196392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.015
y[1] (analytic) = 2.021045
y[1] (numeric) = 2.021045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.016
y[1] (analytic) = 2.0224512
y[1] (numeric) = 2.0224512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.017
y[1] (analytic) = 2.0238578
y[1] (numeric) = 2.0238578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.018
y[1] (analytic) = 2.0252648
y[1] (numeric) = 2.0252648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.019
y[1] (analytic) = 2.0266722
y[1] (numeric) = 2.0266722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.02
y[1] (analytic) = 2.02808
y[1] (numeric) = 2.02808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.021
y[1] (analytic) = 2.0294882
y[1] (numeric) = 2.0294882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.022
y[1] (analytic) = 2.0308968
y[1] (numeric) = 2.0308968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.023
y[1] (analytic) = 2.0323058
y[1] (numeric) = 2.0323058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.024
y[1] (analytic) = 2.0337152
y[1] (numeric) = 2.0337152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.025
y[1] (analytic) = 2.035125
y[1] (numeric) = 2.035125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.026
y[1] (analytic) = 2.0365352
y[1] (numeric) = 2.0365352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.027
y[1] (analytic) = 2.0379458
y[1] (numeric) = 2.0379458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.028
y[1] (analytic) = 2.0393568
y[1] (numeric) = 2.0393568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.029
y[1] (analytic) = 2.0407682
y[1] (numeric) = 2.0407682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.03
y[1] (analytic) = 2.04218
y[1] (numeric) = 2.04218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.031
y[1] (analytic) = 2.0435922
y[1] (numeric) = 2.0435922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.032
y[1] (analytic) = 2.0450048
y[1] (numeric) = 2.0450048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.033
y[1] (analytic) = 2.0464178
y[1] (numeric) = 2.0464178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.034
y[1] (analytic) = 2.0478312
y[1] (numeric) = 2.0478312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.035
y[1] (analytic) = 2.049245
y[1] (numeric) = 2.049245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.036
y[1] (analytic) = 2.0506592
y[1] (numeric) = 2.0506592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.037
y[1] (analytic) = 2.0520738
y[1] (numeric) = 2.0520738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.038
y[1] (analytic) = 2.0534888
y[1] (numeric) = 2.0534888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.039
y[1] (analytic) = 2.0549042
y[1] (numeric) = 2.0549042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.04
y[1] (analytic) = 2.05632
y[1] (numeric) = 2.05632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.041
y[1] (analytic) = 2.0577362
y[1] (numeric) = 2.0577362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.042
y[1] (analytic) = 2.0591528
y[1] (numeric) = 2.0591528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.043
y[1] (analytic) = 2.0605698
y[1] (numeric) = 2.0605698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.044
y[1] (analytic) = 2.0619872
y[1] (numeric) = 2.0619872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.045
y[1] (analytic) = 2.063405
y[1] (numeric) = 2.063405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.046
y[1] (analytic) = 2.0648232
y[1] (numeric) = 2.0648232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.047
y[1] (analytic) = 2.0662418
y[1] (numeric) = 2.0662418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.048
y[1] (analytic) = 2.0676608
y[1] (numeric) = 2.0676608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.049
y[1] (analytic) = 2.0690802
y[1] (numeric) = 2.0690802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.05
y[1] (analytic) = 2.0705
y[1] (numeric) = 2.0705
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.051
y[1] (analytic) = 2.0719202
y[1] (numeric) = 2.0719202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.052
y[1] (analytic) = 2.0733408
y[1] (numeric) = 2.0733408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=3.9MB, time=18.80
NO POLE
x[1] = 2.053
y[1] (analytic) = 2.0747618
y[1] (numeric) = 2.0747618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.054
y[1] (analytic) = 2.0761832
y[1] (numeric) = 2.0761832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.055
y[1] (analytic) = 2.077605
y[1] (numeric) = 2.077605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.056
y[1] (analytic) = 2.0790272
y[1] (numeric) = 2.0790272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.057
y[1] (analytic) = 2.0804498
y[1] (numeric) = 2.0804498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.058
y[1] (analytic) = 2.0818728
y[1] (numeric) = 2.0818728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.059
y[1] (analytic) = 2.0832962
y[1] (numeric) = 2.0832962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.06
y[1] (analytic) = 2.08472
y[1] (numeric) = 2.08472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.061
y[1] (analytic) = 2.0861442
y[1] (numeric) = 2.0861442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.062
y[1] (analytic) = 2.0875688
y[1] (numeric) = 2.0875688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.063
y[1] (analytic) = 2.0889938
y[1] (numeric) = 2.0889938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.064
y[1] (analytic) = 2.0904192
y[1] (numeric) = 2.0904192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.065
y[1] (analytic) = 2.091845
y[1] (numeric) = 2.091845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.066
y[1] (analytic) = 2.0932712
y[1] (numeric) = 2.0932712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.067
y[1] (analytic) = 2.0946978
y[1] (numeric) = 2.0946978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.068
y[1] (analytic) = 2.0961248
y[1] (numeric) = 2.0961248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.069
y[1] (analytic) = 2.0975522
y[1] (numeric) = 2.0975522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.07
y[1] (analytic) = 2.09898
y[1] (numeric) = 2.09898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.071
y[1] (analytic) = 2.1004082
y[1] (numeric) = 2.1004082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.072
y[1] (analytic) = 2.1018368
y[1] (numeric) = 2.1018368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.073
y[1] (analytic) = 2.1032658
y[1] (numeric) = 2.1032658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.074
y[1] (analytic) = 2.1046952
y[1] (numeric) = 2.1046952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.075
y[1] (analytic) = 2.106125
y[1] (numeric) = 2.106125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.076
y[1] (analytic) = 2.1075552
y[1] (numeric) = 2.1075552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.077
y[1] (analytic) = 2.1089858
y[1] (numeric) = 2.1089858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.078
y[1] (analytic) = 2.1104168
y[1] (numeric) = 2.1104168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.079
y[1] (analytic) = 2.1118482
y[1] (numeric) = 2.1118482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.08
y[1] (analytic) = 2.11328
y[1] (numeric) = 2.11328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.081
y[1] (analytic) = 2.1147122
y[1] (numeric) = 2.1147122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.082
y[1] (analytic) = 2.1161448
y[1] (numeric) = 2.1161448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.083
y[1] (analytic) = 2.1175778
y[1] (numeric) = 2.1175778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.084
y[1] (analytic) = 2.1190112
y[1] (numeric) = 2.1190112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.085
y[1] (analytic) = 2.120445
y[1] (numeric) = 2.120445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.086
y[1] (analytic) = 2.1218792
y[1] (numeric) = 2.1218792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.087
y[1] (analytic) = 2.1233138
y[1] (numeric) = 2.1233138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.088
y[1] (analytic) = 2.1247488
y[1] (numeric) = 2.1247488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.089
y[1] (analytic) = 2.1261842
y[1] (numeric) = 2.1261842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.09
y[1] (analytic) = 2.12762
y[1] (numeric) = 2.12762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.091
y[1] (analytic) = 2.1290562
y[1] (numeric) = 2.1290562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.092
y[1] (analytic) = 2.1304928
y[1] (numeric) = 2.1304928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.093
y[1] (analytic) = 2.1319298
y[1] (numeric) = 2.1319298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.094
y[1] (analytic) = 2.1333672
y[1] (numeric) = 2.1333672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.095
y[1] (analytic) = 2.134805
y[1] (numeric) = 2.134805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.096
y[1] (analytic) = 2.1362432
y[1] (numeric) = 2.1362432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.097
y[1] (analytic) = 2.1376818
y[1] (numeric) = 2.1376818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.098
y[1] (analytic) = 2.1391208
y[1] (numeric) = 2.1391208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.099
y[1] (analytic) = 2.1405602
y[1] (numeric) = 2.1405602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1
y[1] (analytic) = 2.142
y[1] (numeric) = 2.142
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.101
y[1] (analytic) = 2.1434402
y[1] (numeric) = 2.1434402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.102
y[1] (analytic) = 2.1448808
y[1] (numeric) = 2.1448808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.103
y[1] (analytic) = 2.1463218
y[1] (numeric) = 2.1463218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.104
y[1] (analytic) = 2.1477632
y[1] (numeric) = 2.1477632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.105
y[1] (analytic) = 2.149205
y[1] (numeric) = 2.149205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.106
y[1] (analytic) = 2.1506472
y[1] (numeric) = 2.1506472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.107
y[1] (analytic) = 2.1520898
y[1] (numeric) = 2.1520898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.108
y[1] (analytic) = 2.1535328
y[1] (numeric) = 2.1535328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.109
y[1] (analytic) = 2.1549762
y[1] (numeric) = 2.1549762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.11
y[1] (analytic) = 2.15642
y[1] (numeric) = 2.15642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.111
y[1] (analytic) = 2.1578642
y[1] (numeric) = 2.1578642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.112
y[1] (analytic) = 2.1593088
y[1] (numeric) = 2.1593088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.113
y[1] (analytic) = 2.1607538
y[1] (numeric) = 2.1607538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.114
y[1] (analytic) = 2.1621992
y[1] (numeric) = 2.1621992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.115
y[1] (analytic) = 2.163645
y[1] (numeric) = 2.163645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.116
y[1] (analytic) = 2.1650912
y[1] (numeric) = 2.1650912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.117
y[1] (analytic) = 2.1665378
y[1] (numeric) = 2.1665378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.118
y[1] (analytic) = 2.1679848
y[1] (numeric) = 2.1679848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=3.9MB, time=19.43
NO POLE
x[1] = 2.119
y[1] (analytic) = 2.1694322
y[1] (numeric) = 2.1694322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.12
y[1] (analytic) = 2.17088
y[1] (numeric) = 2.17088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.121
y[1] (analytic) = 2.1723282
y[1] (numeric) = 2.1723282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.122
y[1] (analytic) = 2.1737768
y[1] (numeric) = 2.1737768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.123
y[1] (analytic) = 2.1752258
y[1] (numeric) = 2.1752258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.124
y[1] (analytic) = 2.1766752
y[1] (numeric) = 2.1766752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.125
y[1] (analytic) = 2.178125
y[1] (numeric) = 2.178125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.126
y[1] (analytic) = 2.1795752
y[1] (numeric) = 2.1795752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.127
y[1] (analytic) = 2.1810258
y[1] (numeric) = 2.1810258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.128
y[1] (analytic) = 2.1824768
y[1] (numeric) = 2.1824768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.129
y[1] (analytic) = 2.1839282
y[1] (numeric) = 2.1839282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.13
y[1] (analytic) = 2.18538
y[1] (numeric) = 2.18538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.131
y[1] (analytic) = 2.1868322
y[1] (numeric) = 2.1868322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.132
y[1] (analytic) = 2.1882848
y[1] (numeric) = 2.1882848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.133
y[1] (analytic) = 2.1897378
y[1] (numeric) = 2.1897378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.134
y[1] (analytic) = 2.1911912
y[1] (numeric) = 2.1911912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.135
y[1] (analytic) = 2.192645
y[1] (numeric) = 2.192645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.136
y[1] (analytic) = 2.1940992
y[1] (numeric) = 2.1940992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.137
y[1] (analytic) = 2.1955538
y[1] (numeric) = 2.1955538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.138
y[1] (analytic) = 2.1970088
y[1] (numeric) = 2.1970088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.139
y[1] (analytic) = 2.1984642
y[1] (numeric) = 2.1984642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.14
y[1] (analytic) = 2.19992
y[1] (numeric) = 2.19992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.141
y[1] (analytic) = 2.2013762
y[1] (numeric) = 2.2013762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.142
y[1] (analytic) = 2.2028328
y[1] (numeric) = 2.2028328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.143
y[1] (analytic) = 2.2042898
y[1] (numeric) = 2.2042898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.144
y[1] (analytic) = 2.2057472
y[1] (numeric) = 2.2057472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.145
y[1] (analytic) = 2.207205
y[1] (numeric) = 2.207205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.146
y[1] (analytic) = 2.2086632
y[1] (numeric) = 2.2086632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.147
y[1] (analytic) = 2.2101218
y[1] (numeric) = 2.2101218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.148
y[1] (analytic) = 2.2115808
y[1] (numeric) = 2.2115808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.149
y[1] (analytic) = 2.2130402
y[1] (numeric) = 2.2130402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.15
y[1] (analytic) = 2.2145
y[1] (numeric) = 2.2145
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.151
y[1] (analytic) = 2.2159602
y[1] (numeric) = 2.2159602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.152
y[1] (analytic) = 2.2174208
y[1] (numeric) = 2.2174208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.153
y[1] (analytic) = 2.2188818
y[1] (numeric) = 2.2188818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.154
y[1] (analytic) = 2.2203432
y[1] (numeric) = 2.2203432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.155
y[1] (analytic) = 2.221805
y[1] (numeric) = 2.221805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.156
y[1] (analytic) = 2.2232672
y[1] (numeric) = 2.2232672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.157
y[1] (analytic) = 2.2247298
y[1] (numeric) = 2.2247298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.158
y[1] (analytic) = 2.2261928
y[1] (numeric) = 2.2261928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.159
y[1] (analytic) = 2.2276562
y[1] (numeric) = 2.2276562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.16
y[1] (analytic) = 2.22912
y[1] (numeric) = 2.22912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.161
y[1] (analytic) = 2.2305842
y[1] (numeric) = 2.2305842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.162
y[1] (analytic) = 2.2320488
y[1] (numeric) = 2.2320488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.163
y[1] (analytic) = 2.2335138
y[1] (numeric) = 2.2335138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.164
y[1] (analytic) = 2.2349792
y[1] (numeric) = 2.2349792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.165
y[1] (analytic) = 2.236445
y[1] (numeric) = 2.236445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.166
y[1] (analytic) = 2.2379112
y[1] (numeric) = 2.2379112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.167
y[1] (analytic) = 2.2393778
y[1] (numeric) = 2.2393778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.168
y[1] (analytic) = 2.2408448
y[1] (numeric) = 2.2408448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.169
y[1] (analytic) = 2.2423122
y[1] (numeric) = 2.2423122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.17
y[1] (analytic) = 2.24378
y[1] (numeric) = 2.24378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.171
y[1] (analytic) = 2.2452482
y[1] (numeric) = 2.2452482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.172
y[1] (analytic) = 2.2467168
y[1] (numeric) = 2.2467168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.173
y[1] (analytic) = 2.2481858
y[1] (numeric) = 2.2481858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.174
y[1] (analytic) = 2.2496552
y[1] (numeric) = 2.2496552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.175
y[1] (analytic) = 2.251125
y[1] (numeric) = 2.251125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.176
y[1] (analytic) = 2.2525952
y[1] (numeric) = 2.2525952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.177
y[1] (analytic) = 2.2540658
y[1] (numeric) = 2.2540658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.178
y[1] (analytic) = 2.2555368
y[1] (numeric) = 2.2555368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.179
y[1] (analytic) = 2.2570082
y[1] (numeric) = 2.2570082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.18
y[1] (analytic) = 2.25848
y[1] (numeric) = 2.25848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.181
y[1] (analytic) = 2.2599522
y[1] (numeric) = 2.2599522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.182
y[1] (analytic) = 2.2614248
y[1] (numeric) = 2.2614248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.183
y[1] (analytic) = 2.2628978
y[1] (numeric) = 2.2628978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.184
y[1] (analytic) = 2.2643712
y[1] (numeric) = 2.2643712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=122.0MB, alloc=3.9MB, time=20.06
x[1] = 2.185
y[1] (analytic) = 2.265845
y[1] (numeric) = 2.265845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.186
y[1] (analytic) = 2.2673192
y[1] (numeric) = 2.2673192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.187
y[1] (analytic) = 2.2687938
y[1] (numeric) = 2.2687938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.188
y[1] (analytic) = 2.2702688
y[1] (numeric) = 2.2702688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.189
y[1] (analytic) = 2.2717442
y[1] (numeric) = 2.2717442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.19
y[1] (analytic) = 2.27322
y[1] (numeric) = 2.27322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.191
y[1] (analytic) = 2.2746962
y[1] (numeric) = 2.2746962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.192
y[1] (analytic) = 2.2761728
y[1] (numeric) = 2.2761728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.193
y[1] (analytic) = 2.2776498
y[1] (numeric) = 2.2776498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.194
y[1] (analytic) = 2.2791272
y[1] (numeric) = 2.2791272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.195
y[1] (analytic) = 2.280605
y[1] (numeric) = 2.280605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.196
y[1] (analytic) = 2.2820832
y[1] (numeric) = 2.2820832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.197
y[1] (analytic) = 2.2835618
y[1] (numeric) = 2.2835618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.198
y[1] (analytic) = 2.2850408
y[1] (numeric) = 2.2850408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.199
y[1] (analytic) = 2.2865202
y[1] (numeric) = 2.2865202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2
y[1] (analytic) = 2.288
y[1] (numeric) = 2.288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.201
y[1] (analytic) = 2.2894802
y[1] (numeric) = 2.2894802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.202
y[1] (analytic) = 2.2909608
y[1] (numeric) = 2.2909608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.203
y[1] (analytic) = 2.2924418
y[1] (numeric) = 2.2924418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.204
y[1] (analytic) = 2.2939232
y[1] (numeric) = 2.2939232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.205
y[1] (analytic) = 2.295405
y[1] (numeric) = 2.295405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.206
y[1] (analytic) = 2.2968872
y[1] (numeric) = 2.2968872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.207
y[1] (analytic) = 2.2983698
y[1] (numeric) = 2.2983698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.208
y[1] (analytic) = 2.2998528
y[1] (numeric) = 2.2998528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.209
y[1] (analytic) = 2.3013362
y[1] (numeric) = 2.3013362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.21
y[1] (analytic) = 2.30282
y[1] (numeric) = 2.30282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.211
y[1] (analytic) = 2.3043042
y[1] (numeric) = 2.3043042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.212
y[1] (analytic) = 2.3057888
y[1] (numeric) = 2.3057888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.213
y[1] (analytic) = 2.3072738
y[1] (numeric) = 2.3072738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.214
y[1] (analytic) = 2.3087592
y[1] (numeric) = 2.3087592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.215
y[1] (analytic) = 2.310245
y[1] (numeric) = 2.310245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.216
y[1] (analytic) = 2.3117312
y[1] (numeric) = 2.3117312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.217
y[1] (analytic) = 2.3132178
y[1] (numeric) = 2.3132178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.218
y[1] (analytic) = 2.3147048
y[1] (numeric) = 2.3147048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.219
y[1] (analytic) = 2.3161922
y[1] (numeric) = 2.3161922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.22
y[1] (analytic) = 2.31768
y[1] (numeric) = 2.31768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.221
y[1] (analytic) = 2.3191682
y[1] (numeric) = 2.3191682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.222
y[1] (analytic) = 2.3206568
y[1] (numeric) = 2.3206568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.223
y[1] (analytic) = 2.3221458
y[1] (numeric) = 2.3221458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.224
y[1] (analytic) = 2.3236352
y[1] (numeric) = 2.3236352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.225
y[1] (analytic) = 2.325125
y[1] (numeric) = 2.325125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.226
y[1] (analytic) = 2.3266152
y[1] (numeric) = 2.3266152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.227
y[1] (analytic) = 2.3281058
y[1] (numeric) = 2.3281058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.228
y[1] (analytic) = 2.3295968
y[1] (numeric) = 2.3295968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.229
y[1] (analytic) = 2.3310882
y[1] (numeric) = 2.3310882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.23
y[1] (analytic) = 2.33258
y[1] (numeric) = 2.33258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.231
y[1] (analytic) = 2.3340722
y[1] (numeric) = 2.3340722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.232
y[1] (analytic) = 2.3355648
y[1] (numeric) = 2.3355648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.233
y[1] (analytic) = 2.3370578
y[1] (numeric) = 2.3370578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.234
y[1] (analytic) = 2.3385512
y[1] (numeric) = 2.3385512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.235
y[1] (analytic) = 2.340045
y[1] (numeric) = 2.340045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.236
y[1] (analytic) = 2.3415392
y[1] (numeric) = 2.3415392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.237
y[1] (analytic) = 2.3430338
y[1] (numeric) = 2.3430338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.238
y[1] (analytic) = 2.3445288
y[1] (numeric) = 2.3445288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.239
y[1] (analytic) = 2.3460242
y[1] (numeric) = 2.3460242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.24
y[1] (analytic) = 2.34752
y[1] (numeric) = 2.34752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.241
y[1] (analytic) = 2.3490162
y[1] (numeric) = 2.3490162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.242
y[1] (analytic) = 2.3505128
y[1] (numeric) = 2.3505128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.243
y[1] (analytic) = 2.3520098
y[1] (numeric) = 2.3520098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.244
y[1] (analytic) = 2.3535072
y[1] (numeric) = 2.3535072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.245
y[1] (analytic) = 2.355005
y[1] (numeric) = 2.355005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.246
y[1] (analytic) = 2.3565032
y[1] (numeric) = 2.3565032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.247
y[1] (analytic) = 2.3580018
y[1] (numeric) = 2.3580018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.248
y[1] (analytic) = 2.3595008
y[1] (numeric) = 2.3595008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.249
y[1] (analytic) = 2.3610002
y[1] (numeric) = 2.3610002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.25
y[1] (analytic) = 2.3625
y[1] (numeric) = 2.3625
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=125.8MB, alloc=3.9MB, time=20.68
x[1] = 2.251
y[1] (analytic) = 2.3640002
y[1] (numeric) = 2.3640002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.252
y[1] (analytic) = 2.3655008
y[1] (numeric) = 2.3655008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.253
y[1] (analytic) = 2.3670018
y[1] (numeric) = 2.3670018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.254
y[1] (analytic) = 2.3685032
y[1] (numeric) = 2.3685032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.255
y[1] (analytic) = 2.370005
y[1] (numeric) = 2.370005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.256
y[1] (analytic) = 2.3715072
y[1] (numeric) = 2.3715072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.257
y[1] (analytic) = 2.3730098
y[1] (numeric) = 2.3730098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.258
y[1] (analytic) = 2.3745128
y[1] (numeric) = 2.3745128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.259
y[1] (analytic) = 2.3760162
y[1] (numeric) = 2.3760162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.26
y[1] (analytic) = 2.37752
y[1] (numeric) = 2.37752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.261
y[1] (analytic) = 2.3790242
y[1] (numeric) = 2.3790242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.262
y[1] (analytic) = 2.3805288
y[1] (numeric) = 2.3805288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.263
y[1] (analytic) = 2.3820338
y[1] (numeric) = 2.3820338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.264
y[1] (analytic) = 2.3835392
y[1] (numeric) = 2.3835392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.265
y[1] (analytic) = 2.385045
y[1] (numeric) = 2.385045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.266
y[1] (analytic) = 2.3865512
y[1] (numeric) = 2.3865512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.267
y[1] (analytic) = 2.3880578
y[1] (numeric) = 2.3880578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.268
y[1] (analytic) = 2.3895648
y[1] (numeric) = 2.3895648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.269
y[1] (analytic) = 2.3910722
y[1] (numeric) = 2.3910722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.27
y[1] (analytic) = 2.39258
y[1] (numeric) = 2.39258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.271
y[1] (analytic) = 2.3940882
y[1] (numeric) = 2.3940882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.272
y[1] (analytic) = 2.3955968
y[1] (numeric) = 2.3955968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.273
y[1] (analytic) = 2.3971058
y[1] (numeric) = 2.3971058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.274
y[1] (analytic) = 2.3986152
y[1] (numeric) = 2.3986152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.275
y[1] (analytic) = 2.400125
y[1] (numeric) = 2.400125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.276
y[1] (analytic) = 2.4016352
y[1] (numeric) = 2.4016352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.277
y[1] (analytic) = 2.4031458
y[1] (numeric) = 2.4031458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.278
y[1] (analytic) = 2.4046568
y[1] (numeric) = 2.4046568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.279
y[1] (analytic) = 2.4061682
y[1] (numeric) = 2.4061682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.28
y[1] (analytic) = 2.40768
y[1] (numeric) = 2.40768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.281
y[1] (analytic) = 2.4091922
y[1] (numeric) = 2.4091922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.282
y[1] (analytic) = 2.4107048
y[1] (numeric) = 2.4107048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.283
y[1] (analytic) = 2.4122178
y[1] (numeric) = 2.4122178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.284
y[1] (analytic) = 2.4137312
y[1] (numeric) = 2.4137312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.285
y[1] (analytic) = 2.415245
y[1] (numeric) = 2.415245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.286
y[1] (analytic) = 2.4167592
y[1] (numeric) = 2.4167592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.287
y[1] (analytic) = 2.4182738
y[1] (numeric) = 2.4182738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.288
y[1] (analytic) = 2.4197888
y[1] (numeric) = 2.4197888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.289
y[1] (analytic) = 2.4213042
y[1] (numeric) = 2.4213042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.29
y[1] (analytic) = 2.42282
y[1] (numeric) = 2.42282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.291
y[1] (analytic) = 2.4243362
y[1] (numeric) = 2.4243362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.292
y[1] (analytic) = 2.4258528
y[1] (numeric) = 2.4258528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.293
y[1] (analytic) = 2.4273698
y[1] (numeric) = 2.4273698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.294
y[1] (analytic) = 2.4288872
y[1] (numeric) = 2.4288872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.295
y[1] (analytic) = 2.430405
y[1] (numeric) = 2.430405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.296
y[1] (analytic) = 2.4319232
y[1] (numeric) = 2.4319232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.297
y[1] (analytic) = 2.4334418
y[1] (numeric) = 2.4334418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.298
y[1] (analytic) = 2.4349608
y[1] (numeric) = 2.4349608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.299
y[1] (analytic) = 2.4364802
y[1] (numeric) = 2.4364802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3
y[1] (analytic) = 2.438
y[1] (numeric) = 2.438
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.301
y[1] (analytic) = 2.4395202
y[1] (numeric) = 2.4395202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.302
y[1] (analytic) = 2.4410408
y[1] (numeric) = 2.4410408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.303
y[1] (analytic) = 2.4425618
y[1] (numeric) = 2.4425618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.304
y[1] (analytic) = 2.4440832
y[1] (numeric) = 2.4440832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.305
y[1] (analytic) = 2.445605
y[1] (numeric) = 2.445605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.306
y[1] (analytic) = 2.4471272
y[1] (numeric) = 2.4471272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.307
y[1] (analytic) = 2.4486498
y[1] (numeric) = 2.4486498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.308
y[1] (analytic) = 2.4501728
y[1] (numeric) = 2.4501728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.309
y[1] (analytic) = 2.4516962
y[1] (numeric) = 2.4516962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.31
y[1] (analytic) = 2.45322
y[1] (numeric) = 2.45322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.311
y[1] (analytic) = 2.4547442
y[1] (numeric) = 2.4547442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.312
y[1] (analytic) = 2.4562688
y[1] (numeric) = 2.4562688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.313
y[1] (analytic) = 2.4577938
y[1] (numeric) = 2.4577938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.314
y[1] (analytic) = 2.4593192
y[1] (numeric) = 2.4593192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.315
y[1] (analytic) = 2.460845
y[1] (numeric) = 2.460845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.316
y[1] (analytic) = 2.4623712
y[1] (numeric) = 2.4623712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=129.7MB, alloc=3.9MB, time=21.31
x[1] = 2.317
y[1] (analytic) = 2.4638978
y[1] (numeric) = 2.4638978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.318
y[1] (analytic) = 2.4654248
y[1] (numeric) = 2.4654248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.319
y[1] (analytic) = 2.4669522
y[1] (numeric) = 2.4669522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.32
y[1] (analytic) = 2.46848
y[1] (numeric) = 2.46848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.321
y[1] (analytic) = 2.4700082
y[1] (numeric) = 2.4700082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.322
y[1] (analytic) = 2.4715368
y[1] (numeric) = 2.4715368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.323
y[1] (analytic) = 2.4730658
y[1] (numeric) = 2.4730658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.324
y[1] (analytic) = 2.4745952
y[1] (numeric) = 2.4745952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.325
y[1] (analytic) = 2.476125
y[1] (numeric) = 2.476125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.326
y[1] (analytic) = 2.4776552
y[1] (numeric) = 2.4776552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.327
y[1] (analytic) = 2.4791858
y[1] (numeric) = 2.4791858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.328
y[1] (analytic) = 2.4807168
y[1] (numeric) = 2.4807168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.329
y[1] (analytic) = 2.4822482
y[1] (numeric) = 2.4822482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.33
y[1] (analytic) = 2.48378
y[1] (numeric) = 2.48378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.331
y[1] (analytic) = 2.4853122
y[1] (numeric) = 2.4853122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.332
y[1] (analytic) = 2.4868448
y[1] (numeric) = 2.4868448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.333
y[1] (analytic) = 2.4883778
y[1] (numeric) = 2.4883778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.334
y[1] (analytic) = 2.4899112
y[1] (numeric) = 2.4899112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.335
y[1] (analytic) = 2.491445
y[1] (numeric) = 2.491445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.336
y[1] (analytic) = 2.4929792
y[1] (numeric) = 2.4929792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.337
y[1] (analytic) = 2.4945138
y[1] (numeric) = 2.4945138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.338
y[1] (analytic) = 2.4960488
y[1] (numeric) = 2.4960488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.339
y[1] (analytic) = 2.4975842
y[1] (numeric) = 2.4975842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.34
y[1] (analytic) = 2.49912
y[1] (numeric) = 2.49912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.341
y[1] (analytic) = 2.5006562
y[1] (numeric) = 2.5006562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.342
y[1] (analytic) = 2.5021928
y[1] (numeric) = 2.5021928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.343
y[1] (analytic) = 2.5037298
y[1] (numeric) = 2.5037298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.344
y[1] (analytic) = 2.5052672
y[1] (numeric) = 2.5052672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.345
y[1] (analytic) = 2.506805
y[1] (numeric) = 2.506805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.346
y[1] (analytic) = 2.5083432
y[1] (numeric) = 2.5083432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.347
y[1] (analytic) = 2.5098818
y[1] (numeric) = 2.5098818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.348
y[1] (analytic) = 2.5114208
y[1] (numeric) = 2.5114208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.349
y[1] (analytic) = 2.5129602
y[1] (numeric) = 2.5129602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.35
y[1] (analytic) = 2.5145
y[1] (numeric) = 2.5145
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.351
y[1] (analytic) = 2.5160402
y[1] (numeric) = 2.5160402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.352
y[1] (analytic) = 2.5175808
y[1] (numeric) = 2.5175808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.353
y[1] (analytic) = 2.5191218
y[1] (numeric) = 2.5191218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.354
y[1] (analytic) = 2.5206632
y[1] (numeric) = 2.5206632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.355
y[1] (analytic) = 2.522205
y[1] (numeric) = 2.522205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.356
y[1] (analytic) = 2.5237472
y[1] (numeric) = 2.5237472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.357
y[1] (analytic) = 2.5252898
y[1] (numeric) = 2.5252898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.358
y[1] (analytic) = 2.5268328
y[1] (numeric) = 2.5268328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.359
y[1] (analytic) = 2.5283762
y[1] (numeric) = 2.5283762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.36
y[1] (analytic) = 2.52992
y[1] (numeric) = 2.52992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.361
y[1] (analytic) = 2.5314642
y[1] (numeric) = 2.5314642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.362
y[1] (analytic) = 2.5330088
y[1] (numeric) = 2.5330088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.363
y[1] (analytic) = 2.5345538
y[1] (numeric) = 2.5345538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.364
y[1] (analytic) = 2.5360992
y[1] (numeric) = 2.5360992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.365
y[1] (analytic) = 2.537645
y[1] (numeric) = 2.537645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.366
y[1] (analytic) = 2.5391912
y[1] (numeric) = 2.5391912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.367
y[1] (analytic) = 2.5407378
y[1] (numeric) = 2.5407378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.368
y[1] (analytic) = 2.5422848
y[1] (numeric) = 2.5422848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.369
y[1] (analytic) = 2.5438322
y[1] (numeric) = 2.5438322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.37
y[1] (analytic) = 2.54538
y[1] (numeric) = 2.54538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.371
y[1] (analytic) = 2.5469282
y[1] (numeric) = 2.5469282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.372
y[1] (analytic) = 2.5484768
y[1] (numeric) = 2.5484768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.373
y[1] (analytic) = 2.5500258
y[1] (numeric) = 2.5500258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.374
y[1] (analytic) = 2.5515752
y[1] (numeric) = 2.5515752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.375
y[1] (analytic) = 2.553125
y[1] (numeric) = 2.553125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.376
y[1] (analytic) = 2.5546752
y[1] (numeric) = 2.5546752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.377
y[1] (analytic) = 2.5562258
y[1] (numeric) = 2.5562258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.378
y[1] (analytic) = 2.5577768
y[1] (numeric) = 2.5577768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.379
y[1] (analytic) = 2.5593282
y[1] (numeric) = 2.5593282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.38
y[1] (analytic) = 2.56088
y[1] (numeric) = 2.56088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.381
y[1] (analytic) = 2.5624322
y[1] (numeric) = 2.5624322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.382
y[1] (analytic) = 2.5639848
y[1] (numeric) = 2.5639848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=133.5MB, alloc=3.9MB, time=21.94
x[1] = 2.383
y[1] (analytic) = 2.5655378
y[1] (numeric) = 2.5655378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.384
y[1] (analytic) = 2.5670912
y[1] (numeric) = 2.5670912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.385
y[1] (analytic) = 2.568645
y[1] (numeric) = 2.568645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.386
y[1] (analytic) = 2.5701992
y[1] (numeric) = 2.5701992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.387
y[1] (analytic) = 2.5717538
y[1] (numeric) = 2.5717538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.388
y[1] (analytic) = 2.5733088
y[1] (numeric) = 2.5733088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.389
y[1] (analytic) = 2.5748642
y[1] (numeric) = 2.5748642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.39
y[1] (analytic) = 2.57642
y[1] (numeric) = 2.57642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.391
y[1] (analytic) = 2.5779762
y[1] (numeric) = 2.5779762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.392
y[1] (analytic) = 2.5795328
y[1] (numeric) = 2.5795328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.393
y[1] (analytic) = 2.5810898
y[1] (numeric) = 2.5810898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.394
y[1] (analytic) = 2.5826472
y[1] (numeric) = 2.5826472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.395
y[1] (analytic) = 2.584205
y[1] (numeric) = 2.584205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.396
y[1] (analytic) = 2.5857632
y[1] (numeric) = 2.5857632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.397
y[1] (analytic) = 2.5873218
y[1] (numeric) = 2.5873218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.398
y[1] (analytic) = 2.5888808
y[1] (numeric) = 2.5888808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.399
y[1] (analytic) = 2.5904402
y[1] (numeric) = 2.5904402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4
y[1] (analytic) = 2.592
y[1] (numeric) = 2.592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.401
y[1] (analytic) = 2.5935602
y[1] (numeric) = 2.5935602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.402
y[1] (analytic) = 2.5951208
y[1] (numeric) = 2.5951208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.403
y[1] (analytic) = 2.5966818
y[1] (numeric) = 2.5966818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.404
y[1] (analytic) = 2.5982432
y[1] (numeric) = 2.5982432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.405
y[1] (analytic) = 2.599805
y[1] (numeric) = 2.599805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.406
y[1] (analytic) = 2.6013672
y[1] (numeric) = 2.6013672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.407
y[1] (analytic) = 2.6029298
y[1] (numeric) = 2.6029298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.408
y[1] (analytic) = 2.6044928
y[1] (numeric) = 2.6044928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.409
y[1] (analytic) = 2.6060562
y[1] (numeric) = 2.6060562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.41
y[1] (analytic) = 2.60762
y[1] (numeric) = 2.60762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.411
y[1] (analytic) = 2.6091842
y[1] (numeric) = 2.6091842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.412
y[1] (analytic) = 2.6107488
y[1] (numeric) = 2.6107488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.413
y[1] (analytic) = 2.6123138
y[1] (numeric) = 2.6123138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.414
y[1] (analytic) = 2.6138792
y[1] (numeric) = 2.6138792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.415
y[1] (analytic) = 2.615445
y[1] (numeric) = 2.615445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.416
y[1] (analytic) = 2.6170112
y[1] (numeric) = 2.6170112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.417
y[1] (analytic) = 2.6185778
y[1] (numeric) = 2.6185778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.418
y[1] (analytic) = 2.6201448
y[1] (numeric) = 2.6201448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.419
y[1] (analytic) = 2.6217122
y[1] (numeric) = 2.6217122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.42
y[1] (analytic) = 2.62328
y[1] (numeric) = 2.62328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.421
y[1] (analytic) = 2.6248482
y[1] (numeric) = 2.6248482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.422
y[1] (analytic) = 2.6264168
y[1] (numeric) = 2.6264168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.423
y[1] (analytic) = 2.6279858
y[1] (numeric) = 2.6279858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.424
y[1] (analytic) = 2.6295552
y[1] (numeric) = 2.6295552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.425
y[1] (analytic) = 2.631125
y[1] (numeric) = 2.631125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.426
y[1] (analytic) = 2.6326952
y[1] (numeric) = 2.6326952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.427
y[1] (analytic) = 2.6342658
y[1] (numeric) = 2.6342658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.428
y[1] (analytic) = 2.6358368
y[1] (numeric) = 2.6358368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.429
y[1] (analytic) = 2.6374082
y[1] (numeric) = 2.6374082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.43
y[1] (analytic) = 2.63898
y[1] (numeric) = 2.63898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.431
y[1] (analytic) = 2.6405522
y[1] (numeric) = 2.6405522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.432
y[1] (analytic) = 2.6421248
y[1] (numeric) = 2.6421248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.433
y[1] (analytic) = 2.6436978
y[1] (numeric) = 2.6436978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.434
y[1] (analytic) = 2.6452712
y[1] (numeric) = 2.6452712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.435
y[1] (analytic) = 2.646845
y[1] (numeric) = 2.646845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.436
y[1] (analytic) = 2.6484192
y[1] (numeric) = 2.6484192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.437
y[1] (analytic) = 2.6499938
y[1] (numeric) = 2.6499938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.438
y[1] (analytic) = 2.6515688
y[1] (numeric) = 2.6515688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.439
y[1] (analytic) = 2.6531442
y[1] (numeric) = 2.6531442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.44
y[1] (analytic) = 2.65472
y[1] (numeric) = 2.65472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.441
y[1] (analytic) = 2.6562962
y[1] (numeric) = 2.6562962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.442
y[1] (analytic) = 2.6578728
y[1] (numeric) = 2.6578728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.443
y[1] (analytic) = 2.6594498
y[1] (numeric) = 2.6594498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.444
y[1] (analytic) = 2.6610272
y[1] (numeric) = 2.6610272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.445
y[1] (analytic) = 2.662605
y[1] (numeric) = 2.662605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.446
y[1] (analytic) = 2.6641832
y[1] (numeric) = 2.6641832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.447
y[1] (analytic) = 2.6657618
y[1] (numeric) = 2.6657618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.448
y[1] (analytic) = 2.6673408
y[1] (numeric) = 2.6673408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=137.3MB, alloc=3.9MB, time=22.56
x[1] = 2.449
y[1] (analytic) = 2.6689202
y[1] (numeric) = 2.6689202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.45
y[1] (analytic) = 2.6705
y[1] (numeric) = 2.6705
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.451
y[1] (analytic) = 2.6720802
y[1] (numeric) = 2.6720802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.452
y[1] (analytic) = 2.6736608
y[1] (numeric) = 2.6736608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.453
y[1] (analytic) = 2.6752418
y[1] (numeric) = 2.6752418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.454
y[1] (analytic) = 2.6768232
y[1] (numeric) = 2.6768232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.455
y[1] (analytic) = 2.678405
y[1] (numeric) = 2.678405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.456
y[1] (analytic) = 2.6799872
y[1] (numeric) = 2.6799872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.457
y[1] (analytic) = 2.6815698
y[1] (numeric) = 2.6815698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.458
y[1] (analytic) = 2.6831528
y[1] (numeric) = 2.6831528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.459
y[1] (analytic) = 2.6847362
y[1] (numeric) = 2.6847362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.46
y[1] (analytic) = 2.68632
y[1] (numeric) = 2.68632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.461
y[1] (analytic) = 2.6879042
y[1] (numeric) = 2.6879042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.462
y[1] (analytic) = 2.6894888
y[1] (numeric) = 2.6894888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.463
y[1] (analytic) = 2.6910738
y[1] (numeric) = 2.6910738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.464
y[1] (analytic) = 2.6926592
y[1] (numeric) = 2.6926592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.465
y[1] (analytic) = 2.694245
y[1] (numeric) = 2.694245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.466
y[1] (analytic) = 2.6958312
y[1] (numeric) = 2.6958312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.467
y[1] (analytic) = 2.6974178
y[1] (numeric) = 2.6974178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.468
y[1] (analytic) = 2.6990048
y[1] (numeric) = 2.6990048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.469
y[1] (analytic) = 2.7005922
y[1] (numeric) = 2.7005922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.47
y[1] (analytic) = 2.70218
y[1] (numeric) = 2.70218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.471
y[1] (analytic) = 2.7037682
y[1] (numeric) = 2.7037682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.472
y[1] (analytic) = 2.7053568
y[1] (numeric) = 2.7053568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.473
y[1] (analytic) = 2.7069458
y[1] (numeric) = 2.7069458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.474
y[1] (analytic) = 2.7085352
y[1] (numeric) = 2.7085352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.475
y[1] (analytic) = 2.710125
y[1] (numeric) = 2.710125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.476
y[1] (analytic) = 2.7117152
y[1] (numeric) = 2.7117152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.477
y[1] (analytic) = 2.7133058
y[1] (numeric) = 2.7133058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.478
y[1] (analytic) = 2.7148968
y[1] (numeric) = 2.7148968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.479
y[1] (analytic) = 2.7164882
y[1] (numeric) = 2.7164882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.48
y[1] (analytic) = 2.71808
y[1] (numeric) = 2.71808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.481
y[1] (analytic) = 2.7196722
y[1] (numeric) = 2.7196722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.482
y[1] (analytic) = 2.7212648
y[1] (numeric) = 2.7212648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.483
y[1] (analytic) = 2.7228578
y[1] (numeric) = 2.7228578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.484
y[1] (analytic) = 2.7244512
y[1] (numeric) = 2.7244512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.485
y[1] (analytic) = 2.726045
y[1] (numeric) = 2.726045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.486
y[1] (analytic) = 2.7276392
y[1] (numeric) = 2.7276392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.487
y[1] (analytic) = 2.7292338
y[1] (numeric) = 2.7292338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.488
y[1] (analytic) = 2.7308288
y[1] (numeric) = 2.7308288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.489
y[1] (analytic) = 2.7324242
y[1] (numeric) = 2.7324242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.49
y[1] (analytic) = 2.73402
y[1] (numeric) = 2.73402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.491
y[1] (analytic) = 2.7356162
y[1] (numeric) = 2.7356162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.492
y[1] (analytic) = 2.7372128
y[1] (numeric) = 2.7372128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.493
y[1] (analytic) = 2.7388098
y[1] (numeric) = 2.7388098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.494
y[1] (analytic) = 2.7404072
y[1] (numeric) = 2.7404072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.495
y[1] (analytic) = 2.742005
y[1] (numeric) = 2.742005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.496
y[1] (analytic) = 2.7436032
y[1] (numeric) = 2.7436032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.497
y[1] (analytic) = 2.7452018
y[1] (numeric) = 2.7452018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.498
y[1] (analytic) = 2.7468008
y[1] (numeric) = 2.7468008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.499
y[1] (analytic) = 2.7484002
y[1] (numeric) = 2.7484002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5
y[1] (analytic) = 2.75
y[1] (numeric) = 2.75
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.501
y[1] (analytic) = 2.7516002
y[1] (numeric) = 2.7516002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.502
y[1] (analytic) = 2.7532008
y[1] (numeric) = 2.7532008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.503
y[1] (analytic) = 2.7548018
y[1] (numeric) = 2.7548018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.504
y[1] (analytic) = 2.7564032
y[1] (numeric) = 2.7564032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.505
y[1] (analytic) = 2.758005
y[1] (numeric) = 2.758005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.506
y[1] (analytic) = 2.7596072
y[1] (numeric) = 2.7596072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.507
y[1] (analytic) = 2.7612098
y[1] (numeric) = 2.7612098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.508
y[1] (analytic) = 2.7628128
y[1] (numeric) = 2.7628128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.509
y[1] (analytic) = 2.7644162
y[1] (numeric) = 2.7644162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.51
y[1] (analytic) = 2.76602
y[1] (numeric) = 2.76602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.511
y[1] (analytic) = 2.7676242
y[1] (numeric) = 2.7676242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.512
y[1] (analytic) = 2.7692288
y[1] (numeric) = 2.7692288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.513
y[1] (analytic) = 2.7708338
y[1] (numeric) = 2.7708338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.514
y[1] (analytic) = 2.7724392
y[1] (numeric) = 2.7724392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=141.1MB, alloc=3.9MB, time=23.18
x[1] = 2.515
y[1] (analytic) = 2.774045
y[1] (numeric) = 2.774045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.516
y[1] (analytic) = 2.7756512
y[1] (numeric) = 2.7756512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.517
y[1] (analytic) = 2.7772578
y[1] (numeric) = 2.7772578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.518
y[1] (analytic) = 2.7788648
y[1] (numeric) = 2.7788648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.519
y[1] (analytic) = 2.7804722
y[1] (numeric) = 2.7804722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.52
y[1] (analytic) = 2.78208
y[1] (numeric) = 2.78208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.521
y[1] (analytic) = 2.7836882
y[1] (numeric) = 2.7836882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.522
y[1] (analytic) = 2.7852968
y[1] (numeric) = 2.7852968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.523
y[1] (analytic) = 2.7869058
y[1] (numeric) = 2.7869058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.524
y[1] (analytic) = 2.7885152
y[1] (numeric) = 2.7885152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.525
y[1] (analytic) = 2.790125
y[1] (numeric) = 2.790125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.526
y[1] (analytic) = 2.7917352
y[1] (numeric) = 2.7917352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.527
y[1] (analytic) = 2.7933458
y[1] (numeric) = 2.7933458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.528
y[1] (analytic) = 2.7949568
y[1] (numeric) = 2.7949568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.529
y[1] (analytic) = 2.7965682
y[1] (numeric) = 2.7965682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.53
y[1] (analytic) = 2.79818
y[1] (numeric) = 2.79818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.531
y[1] (analytic) = 2.7997922
y[1] (numeric) = 2.7997922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.532
y[1] (analytic) = 2.8014048
y[1] (numeric) = 2.8014048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.533
y[1] (analytic) = 2.8030178
y[1] (numeric) = 2.8030178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.534
y[1] (analytic) = 2.8046312
y[1] (numeric) = 2.8046312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.535
y[1] (analytic) = 2.806245
y[1] (numeric) = 2.806245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.536
y[1] (analytic) = 2.8078592
y[1] (numeric) = 2.8078592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.537
y[1] (analytic) = 2.8094738
y[1] (numeric) = 2.8094738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.538
y[1] (analytic) = 2.8110888
y[1] (numeric) = 2.8110888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.539
y[1] (analytic) = 2.8127042
y[1] (numeric) = 2.8127042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.54
y[1] (analytic) = 2.81432
y[1] (numeric) = 2.81432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.541
y[1] (analytic) = 2.8159362
y[1] (numeric) = 2.8159362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.542
y[1] (analytic) = 2.8175528
y[1] (numeric) = 2.8175528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.543
y[1] (analytic) = 2.8191698
y[1] (numeric) = 2.8191698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.544
y[1] (analytic) = 2.8207872
y[1] (numeric) = 2.8207872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.545
y[1] (analytic) = 2.822405
y[1] (numeric) = 2.822405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.546
y[1] (analytic) = 2.8240232
y[1] (numeric) = 2.8240232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.547
y[1] (analytic) = 2.8256418
y[1] (numeric) = 2.8256418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.548
y[1] (analytic) = 2.8272608
y[1] (numeric) = 2.8272608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.549
y[1] (analytic) = 2.8288802
y[1] (numeric) = 2.8288802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.55
y[1] (analytic) = 2.8305
y[1] (numeric) = 2.8305
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.551
y[1] (analytic) = 2.8321202
y[1] (numeric) = 2.8321202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.552
y[1] (analytic) = 2.8337408
y[1] (numeric) = 2.8337408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.553
y[1] (analytic) = 2.8353618
y[1] (numeric) = 2.8353618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.554
y[1] (analytic) = 2.8369832
y[1] (numeric) = 2.8369832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.555
y[1] (analytic) = 2.838605
y[1] (numeric) = 2.838605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.556
y[1] (analytic) = 2.8402272
y[1] (numeric) = 2.8402272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.557
y[1] (analytic) = 2.8418498
y[1] (numeric) = 2.8418498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.558
y[1] (analytic) = 2.8434728
y[1] (numeric) = 2.8434728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.559
y[1] (analytic) = 2.8450962
y[1] (numeric) = 2.8450962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.56
y[1] (analytic) = 2.84672
y[1] (numeric) = 2.84672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.561
y[1] (analytic) = 2.8483442
y[1] (numeric) = 2.8483442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.562
y[1] (analytic) = 2.8499688
y[1] (numeric) = 2.8499688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.563
y[1] (analytic) = 2.8515938
y[1] (numeric) = 2.8515938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.564
y[1] (analytic) = 2.8532192
y[1] (numeric) = 2.8532192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.565
y[1] (analytic) = 2.854845
y[1] (numeric) = 2.854845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.566
y[1] (analytic) = 2.8564712
y[1] (numeric) = 2.8564712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.567
y[1] (analytic) = 2.8580978
y[1] (numeric) = 2.8580978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.568
y[1] (analytic) = 2.8597248
y[1] (numeric) = 2.8597248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.569
y[1] (analytic) = 2.8613522
y[1] (numeric) = 2.8613522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.57
y[1] (analytic) = 2.86298
y[1] (numeric) = 2.86298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.571
y[1] (analytic) = 2.8646082
y[1] (numeric) = 2.8646082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.572
y[1] (analytic) = 2.8662368
y[1] (numeric) = 2.8662368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.573
y[1] (analytic) = 2.8678658
y[1] (numeric) = 2.8678658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.574
y[1] (analytic) = 2.8694952
y[1] (numeric) = 2.8694952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.575
y[1] (analytic) = 2.871125
y[1] (numeric) = 2.871125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.576
y[1] (analytic) = 2.8727552
y[1] (numeric) = 2.8727552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.577
y[1] (analytic) = 2.8743858
y[1] (numeric) = 2.8743858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.578
y[1] (analytic) = 2.8760168
y[1] (numeric) = 2.8760168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.579
y[1] (analytic) = 2.8776482
y[1] (numeric) = 2.8776482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.58
y[1] (analytic) = 2.87928
y[1] (numeric) = 2.87928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.581
memory used=144.9MB, alloc=3.9MB, time=23.81
y[1] (analytic) = 2.8809122
y[1] (numeric) = 2.8809122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.582
y[1] (analytic) = 2.8825448
y[1] (numeric) = 2.8825448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.583
y[1] (analytic) = 2.8841778
y[1] (numeric) = 2.8841778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.584
y[1] (analytic) = 2.8858112
y[1] (numeric) = 2.8858112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.585
y[1] (analytic) = 2.887445
y[1] (numeric) = 2.887445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.586
y[1] (analytic) = 2.8890792
y[1] (numeric) = 2.8890792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.587
y[1] (analytic) = 2.8907138
y[1] (numeric) = 2.8907138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.588
y[1] (analytic) = 2.8923488
y[1] (numeric) = 2.8923488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.589
y[1] (analytic) = 2.8939842
y[1] (numeric) = 2.8939842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.59
y[1] (analytic) = 2.89562
y[1] (numeric) = 2.89562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.591
y[1] (analytic) = 2.8972562
y[1] (numeric) = 2.8972562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.592
y[1] (analytic) = 2.8988928
y[1] (numeric) = 2.8988928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.593
y[1] (analytic) = 2.9005298
y[1] (numeric) = 2.9005298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.594
y[1] (analytic) = 2.9021672
y[1] (numeric) = 2.9021672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.595
y[1] (analytic) = 2.903805
y[1] (numeric) = 2.903805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.596
y[1] (analytic) = 2.9054432
y[1] (numeric) = 2.9054432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.597
y[1] (analytic) = 2.9070818
y[1] (numeric) = 2.9070818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.598
y[1] (analytic) = 2.9087208
y[1] (numeric) = 2.9087208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.599
y[1] (analytic) = 2.9103602
y[1] (numeric) = 2.9103602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6
y[1] (analytic) = 2.912
y[1] (numeric) = 2.912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.601
y[1] (analytic) = 2.9136402
y[1] (numeric) = 2.9136402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.602
y[1] (analytic) = 2.9152808
y[1] (numeric) = 2.9152808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.603
y[1] (analytic) = 2.9169218
y[1] (numeric) = 2.9169218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.604
y[1] (analytic) = 2.9185632
y[1] (numeric) = 2.9185632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.605
y[1] (analytic) = 2.920205
y[1] (numeric) = 2.920205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.606
y[1] (analytic) = 2.9218472
y[1] (numeric) = 2.9218472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.607
y[1] (analytic) = 2.9234898
y[1] (numeric) = 2.9234898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.608
y[1] (analytic) = 2.9251328
y[1] (numeric) = 2.9251328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.609
y[1] (analytic) = 2.9267762
y[1] (numeric) = 2.9267762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.61
y[1] (analytic) = 2.92842
y[1] (numeric) = 2.92842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.611
y[1] (analytic) = 2.9300642
y[1] (numeric) = 2.9300642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.612
y[1] (analytic) = 2.9317088
y[1] (numeric) = 2.9317088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.613
y[1] (analytic) = 2.9333538
y[1] (numeric) = 2.9333538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.614
y[1] (analytic) = 2.9349992
y[1] (numeric) = 2.9349992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.615
y[1] (analytic) = 2.936645
y[1] (numeric) = 2.936645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.616
y[1] (analytic) = 2.9382912
y[1] (numeric) = 2.9382912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.617
y[1] (analytic) = 2.9399378
y[1] (numeric) = 2.9399378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.618
y[1] (analytic) = 2.9415848
y[1] (numeric) = 2.9415848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.619
y[1] (analytic) = 2.9432322
y[1] (numeric) = 2.9432322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.62
y[1] (analytic) = 2.94488
y[1] (numeric) = 2.94488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.621
y[1] (analytic) = 2.9465282
y[1] (numeric) = 2.9465282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.622
y[1] (analytic) = 2.9481768
y[1] (numeric) = 2.9481768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.623
y[1] (analytic) = 2.9498258
y[1] (numeric) = 2.9498258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.624
y[1] (analytic) = 2.9514752
y[1] (numeric) = 2.9514752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.625
y[1] (analytic) = 2.953125
y[1] (numeric) = 2.953125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.626
y[1] (analytic) = 2.9547752
y[1] (numeric) = 2.9547752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.627
y[1] (analytic) = 2.9564258
y[1] (numeric) = 2.9564258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.628
y[1] (analytic) = 2.9580768
y[1] (numeric) = 2.9580768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.629
y[1] (analytic) = 2.9597282
y[1] (numeric) = 2.9597282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.63
y[1] (analytic) = 2.96138
y[1] (numeric) = 2.96138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.631
y[1] (analytic) = 2.9630322
y[1] (numeric) = 2.9630322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.632
y[1] (analytic) = 2.9646848
y[1] (numeric) = 2.9646848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.633
y[1] (analytic) = 2.9663378
y[1] (numeric) = 2.9663378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.634
y[1] (analytic) = 2.9679912
y[1] (numeric) = 2.9679912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.635
y[1] (analytic) = 2.969645
y[1] (numeric) = 2.969645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.636
y[1] (analytic) = 2.9712992
y[1] (numeric) = 2.9712992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.637
y[1] (analytic) = 2.9729538
y[1] (numeric) = 2.9729538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.638
y[1] (analytic) = 2.9746088
y[1] (numeric) = 2.9746088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.639
y[1] (analytic) = 2.9762642
y[1] (numeric) = 2.9762642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.64
y[1] (analytic) = 2.97792
y[1] (numeric) = 2.97792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.641
y[1] (analytic) = 2.9795762
y[1] (numeric) = 2.9795762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.642
y[1] (analytic) = 2.9812328
y[1] (numeric) = 2.9812328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.643
y[1] (analytic) = 2.9828898
y[1] (numeric) = 2.9828898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.644
y[1] (analytic) = 2.9845472
y[1] (numeric) = 2.9845472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.645
y[1] (analytic) = 2.986205
y[1] (numeric) = 2.986205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.646
y[1] (analytic) = 2.9878632
y[1] (numeric) = 2.9878632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.647
y[1] (analytic) = 2.9895218
y[1] (numeric) = 2.9895218
absolute error = 0
relative error = 0 %
Correct digits = 32
memory used=148.7MB, alloc=3.9MB, time=24.45
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.648
y[1] (analytic) = 2.9911808
y[1] (numeric) = 2.9911808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.649
y[1] (analytic) = 2.9928402
y[1] (numeric) = 2.9928402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.65
y[1] (analytic) = 2.9945
y[1] (numeric) = 2.9945
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.651
y[1] (analytic) = 2.9961602
y[1] (numeric) = 2.9961602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.652
y[1] (analytic) = 2.9978208
y[1] (numeric) = 2.9978208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.653
y[1] (analytic) = 2.9994818
y[1] (numeric) = 2.9994818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.654
y[1] (analytic) = 3.0011432
y[1] (numeric) = 3.0011432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.655
y[1] (analytic) = 3.002805
y[1] (numeric) = 3.002805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.656
y[1] (analytic) = 3.0044672
y[1] (numeric) = 3.0044672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.657
y[1] (analytic) = 3.0061298
y[1] (numeric) = 3.0061298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.658
y[1] (analytic) = 3.0077928
y[1] (numeric) = 3.0077928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.659
y[1] (analytic) = 3.0094562
y[1] (numeric) = 3.0094562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.66
y[1] (analytic) = 3.01112
y[1] (numeric) = 3.01112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.661
y[1] (analytic) = 3.0127842
y[1] (numeric) = 3.0127842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.662
y[1] (analytic) = 3.0144488
y[1] (numeric) = 3.0144488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.663
y[1] (analytic) = 3.0161138
y[1] (numeric) = 3.0161138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.664
y[1] (analytic) = 3.0177792
y[1] (numeric) = 3.0177792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.665
y[1] (analytic) = 3.019445
y[1] (numeric) = 3.019445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.666
y[1] (analytic) = 3.0211112
y[1] (numeric) = 3.0211112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.667
y[1] (analytic) = 3.0227778
y[1] (numeric) = 3.0227778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.668
y[1] (analytic) = 3.0244448
y[1] (numeric) = 3.0244448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.669
y[1] (analytic) = 3.0261122
y[1] (numeric) = 3.0261122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.67
y[1] (analytic) = 3.02778
y[1] (numeric) = 3.02778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.671
y[1] (analytic) = 3.0294482
y[1] (numeric) = 3.0294482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.672
y[1] (analytic) = 3.0311168
y[1] (numeric) = 3.0311168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.673
y[1] (analytic) = 3.0327858
y[1] (numeric) = 3.0327858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.674
y[1] (analytic) = 3.0344552
y[1] (numeric) = 3.0344552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.675
y[1] (analytic) = 3.036125
y[1] (numeric) = 3.036125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.676
y[1] (analytic) = 3.0377952
y[1] (numeric) = 3.0377952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.677
y[1] (analytic) = 3.0394658
y[1] (numeric) = 3.0394658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.678
y[1] (analytic) = 3.0411368
y[1] (numeric) = 3.0411368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.679
y[1] (analytic) = 3.0428082
y[1] (numeric) = 3.0428082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.68
y[1] (analytic) = 3.04448
y[1] (numeric) = 3.04448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.681
y[1] (analytic) = 3.0461522
y[1] (numeric) = 3.0461522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.682
y[1] (analytic) = 3.0478248
y[1] (numeric) = 3.0478248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.683
y[1] (analytic) = 3.0494978
y[1] (numeric) = 3.0494978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.684
y[1] (analytic) = 3.0511712
y[1] (numeric) = 3.0511712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.685
y[1] (analytic) = 3.052845
y[1] (numeric) = 3.052845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.686
y[1] (analytic) = 3.0545192
y[1] (numeric) = 3.0545192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.687
y[1] (analytic) = 3.0561938
y[1] (numeric) = 3.0561938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.688
y[1] (analytic) = 3.0578688
y[1] (numeric) = 3.0578688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.689
y[1] (analytic) = 3.0595442
y[1] (numeric) = 3.0595442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.69
y[1] (analytic) = 3.06122
y[1] (numeric) = 3.06122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.691
y[1] (analytic) = 3.0628962
y[1] (numeric) = 3.0628962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.692
y[1] (analytic) = 3.0645728
y[1] (numeric) = 3.0645728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.693
y[1] (analytic) = 3.0662498
y[1] (numeric) = 3.0662498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.694
y[1] (analytic) = 3.0679272
y[1] (numeric) = 3.0679272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.695
y[1] (analytic) = 3.069605
y[1] (numeric) = 3.069605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.696
y[1] (analytic) = 3.0712832
y[1] (numeric) = 3.0712832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.697
y[1] (analytic) = 3.0729618
y[1] (numeric) = 3.0729618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.698
y[1] (analytic) = 3.0746408
y[1] (numeric) = 3.0746408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.699
y[1] (analytic) = 3.0763202
y[1] (numeric) = 3.0763202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7
y[1] (analytic) = 3.078
y[1] (numeric) = 3.078
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.701
y[1] (analytic) = 3.0796802
y[1] (numeric) = 3.0796802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.702
y[1] (analytic) = 3.0813608
y[1] (numeric) = 3.0813608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.703
y[1] (analytic) = 3.0830418
y[1] (numeric) = 3.0830418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.704
y[1] (analytic) = 3.0847232
y[1] (numeric) = 3.0847232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.705
y[1] (analytic) = 3.086405
y[1] (numeric) = 3.086405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.706
y[1] (analytic) = 3.0880872
y[1] (numeric) = 3.0880872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.707
y[1] (analytic) = 3.0897698
y[1] (numeric) = 3.0897698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.708
y[1] (analytic) = 3.0914528
y[1] (numeric) = 3.0914528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.709
y[1] (analytic) = 3.0931362
y[1] (numeric) = 3.0931362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.71
y[1] (analytic) = 3.09482
y[1] (numeric) = 3.09482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.711
y[1] (analytic) = 3.0965042
y[1] (numeric) = 3.0965042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.712
y[1] (analytic) = 3.0981888
y[1] (numeric) = 3.0981888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.713
y[1] (analytic) = 3.0998738
y[1] (numeric) = 3.0998738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=3.9MB, time=25.07
NO POLE
x[1] = 2.714
y[1] (analytic) = 3.1015592
y[1] (numeric) = 3.1015592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.715
y[1] (analytic) = 3.103245
y[1] (numeric) = 3.103245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.716
y[1] (analytic) = 3.1049312
y[1] (numeric) = 3.1049312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.717
y[1] (analytic) = 3.1066178
y[1] (numeric) = 3.1066178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.718
y[1] (analytic) = 3.1083048
y[1] (numeric) = 3.1083048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.719
y[1] (analytic) = 3.1099922
y[1] (numeric) = 3.1099922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.72
y[1] (analytic) = 3.11168
y[1] (numeric) = 3.11168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.721
y[1] (analytic) = 3.1133682
y[1] (numeric) = 3.1133682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.722
y[1] (analytic) = 3.1150568
y[1] (numeric) = 3.1150568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.723
y[1] (analytic) = 3.1167458
y[1] (numeric) = 3.1167458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.724
y[1] (analytic) = 3.1184352
y[1] (numeric) = 3.1184352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.725
y[1] (analytic) = 3.120125
y[1] (numeric) = 3.120125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.726
y[1] (analytic) = 3.1218152
y[1] (numeric) = 3.1218152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.727
y[1] (analytic) = 3.1235058
y[1] (numeric) = 3.1235058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.728
y[1] (analytic) = 3.1251968
y[1] (numeric) = 3.1251968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.729
y[1] (analytic) = 3.1268882
y[1] (numeric) = 3.1268882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.73
y[1] (analytic) = 3.12858
y[1] (numeric) = 3.12858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.731
y[1] (analytic) = 3.1302722
y[1] (numeric) = 3.1302722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.732
y[1] (analytic) = 3.1319648
y[1] (numeric) = 3.1319648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.733
y[1] (analytic) = 3.1336578
y[1] (numeric) = 3.1336578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.734
y[1] (analytic) = 3.1353512
y[1] (numeric) = 3.1353512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.735
y[1] (analytic) = 3.137045
y[1] (numeric) = 3.137045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.736
y[1] (analytic) = 3.1387392
y[1] (numeric) = 3.1387392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.737
y[1] (analytic) = 3.1404338
y[1] (numeric) = 3.1404338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.738
y[1] (analytic) = 3.1421288
y[1] (numeric) = 3.1421288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.739
y[1] (analytic) = 3.1438242
y[1] (numeric) = 3.1438242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.74
y[1] (analytic) = 3.14552
y[1] (numeric) = 3.14552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.741
y[1] (analytic) = 3.1472162
y[1] (numeric) = 3.1472162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.742
y[1] (analytic) = 3.1489128
y[1] (numeric) = 3.1489128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.743
y[1] (analytic) = 3.1506098
y[1] (numeric) = 3.1506098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.744
y[1] (analytic) = 3.1523072
y[1] (numeric) = 3.1523072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.745
y[1] (analytic) = 3.154005
y[1] (numeric) = 3.154005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.746
y[1] (analytic) = 3.1557032
y[1] (numeric) = 3.1557032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.747
y[1] (analytic) = 3.1574018
y[1] (numeric) = 3.1574018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.748
y[1] (analytic) = 3.1591008
y[1] (numeric) = 3.1591008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.749
y[1] (analytic) = 3.1608002
y[1] (numeric) = 3.1608002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.75
y[1] (analytic) = 3.1625
y[1] (numeric) = 3.1625
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.751
y[1] (analytic) = 3.1642002
y[1] (numeric) = 3.1642002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.752
y[1] (analytic) = 3.1659008
y[1] (numeric) = 3.1659008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.753
y[1] (analytic) = 3.1676018
y[1] (numeric) = 3.1676018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.754
y[1] (analytic) = 3.1693032
y[1] (numeric) = 3.1693032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.755
y[1] (analytic) = 3.171005
y[1] (numeric) = 3.171005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.756
y[1] (analytic) = 3.1727072
y[1] (numeric) = 3.1727072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.757
y[1] (analytic) = 3.1744098
y[1] (numeric) = 3.1744098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.758
y[1] (analytic) = 3.1761128
y[1] (numeric) = 3.1761128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.759
y[1] (analytic) = 3.1778162
y[1] (numeric) = 3.1778162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.76
y[1] (analytic) = 3.17952
y[1] (numeric) = 3.17952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.761
y[1] (analytic) = 3.1812242
y[1] (numeric) = 3.1812242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.762
y[1] (analytic) = 3.1829288
y[1] (numeric) = 3.1829288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.763
y[1] (analytic) = 3.1846338
y[1] (numeric) = 3.1846338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.764
y[1] (analytic) = 3.1863392
y[1] (numeric) = 3.1863392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.765
y[1] (analytic) = 3.188045
y[1] (numeric) = 3.188045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.766
y[1] (analytic) = 3.1897512
y[1] (numeric) = 3.1897512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.767
y[1] (analytic) = 3.1914578
y[1] (numeric) = 3.1914578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.768
y[1] (analytic) = 3.1931648
y[1] (numeric) = 3.1931648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.769
y[1] (analytic) = 3.1948722
y[1] (numeric) = 3.1948722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.77
y[1] (analytic) = 3.19658
y[1] (numeric) = 3.19658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.771
y[1] (analytic) = 3.1982882
y[1] (numeric) = 3.1982882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.772
y[1] (analytic) = 3.1999968
y[1] (numeric) = 3.1999968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.773
y[1] (analytic) = 3.2017058
y[1] (numeric) = 3.2017058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.774
y[1] (analytic) = 3.2034152
y[1] (numeric) = 3.2034152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.775
y[1] (analytic) = 3.205125
y[1] (numeric) = 3.205125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.776
y[1] (analytic) = 3.2068352
y[1] (numeric) = 3.2068352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.777
y[1] (analytic) = 3.2085458
y[1] (numeric) = 3.2085458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.778
y[1] (analytic) = 3.2102568
y[1] (numeric) = 3.2102568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.779
y[1] (analytic) = 3.2119682
y[1] (numeric) = 3.2119682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=3.9MB, time=25.70
NO POLE
x[1] = 2.78
y[1] (analytic) = 3.21368
y[1] (numeric) = 3.21368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.781
y[1] (analytic) = 3.2153922
y[1] (numeric) = 3.2153922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.782
y[1] (analytic) = 3.2171048
y[1] (numeric) = 3.2171048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.783
y[1] (analytic) = 3.2188178
y[1] (numeric) = 3.2188178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.784
y[1] (analytic) = 3.2205312
y[1] (numeric) = 3.2205312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.785
y[1] (analytic) = 3.222245
y[1] (numeric) = 3.222245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.786
y[1] (analytic) = 3.2239592
y[1] (numeric) = 3.2239592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.787
y[1] (analytic) = 3.2256738
y[1] (numeric) = 3.2256738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.788
y[1] (analytic) = 3.2273888
y[1] (numeric) = 3.2273888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.789
y[1] (analytic) = 3.2291042
y[1] (numeric) = 3.2291042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.79
y[1] (analytic) = 3.23082
y[1] (numeric) = 3.23082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.791
y[1] (analytic) = 3.2325362
y[1] (numeric) = 3.2325362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.792
y[1] (analytic) = 3.2342528
y[1] (numeric) = 3.2342528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.793
y[1] (analytic) = 3.2359698
y[1] (numeric) = 3.2359698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.794
y[1] (analytic) = 3.2376872
y[1] (numeric) = 3.2376872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.795
y[1] (analytic) = 3.239405
y[1] (numeric) = 3.239405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.796
y[1] (analytic) = 3.2411232
y[1] (numeric) = 3.2411232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.797
y[1] (analytic) = 3.2428418
y[1] (numeric) = 3.2428418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.798
y[1] (analytic) = 3.2445608
y[1] (numeric) = 3.2445608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.799
y[1] (analytic) = 3.2462802
y[1] (numeric) = 3.2462802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8
y[1] (analytic) = 3.248
y[1] (numeric) = 3.248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.801
y[1] (analytic) = 3.2497202
y[1] (numeric) = 3.2497202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.802
y[1] (analytic) = 3.2514408
y[1] (numeric) = 3.2514408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.803
y[1] (analytic) = 3.2531618
y[1] (numeric) = 3.2531618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.804
y[1] (analytic) = 3.2548832
y[1] (numeric) = 3.2548832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.805
y[1] (analytic) = 3.256605
y[1] (numeric) = 3.256605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.806
y[1] (analytic) = 3.2583272
y[1] (numeric) = 3.2583272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.807
y[1] (analytic) = 3.2600498
y[1] (numeric) = 3.2600498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.808
y[1] (analytic) = 3.2617728
y[1] (numeric) = 3.2617728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.809
y[1] (analytic) = 3.2634962
y[1] (numeric) = 3.2634962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.81
y[1] (analytic) = 3.26522
y[1] (numeric) = 3.26522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.811
y[1] (analytic) = 3.2669442
y[1] (numeric) = 3.2669442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.812
y[1] (analytic) = 3.2686688
y[1] (numeric) = 3.2686688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.813
y[1] (analytic) = 3.2703938
y[1] (numeric) = 3.2703938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.814
y[1] (analytic) = 3.2721192
y[1] (numeric) = 3.2721192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.815
y[1] (analytic) = 3.273845
y[1] (numeric) = 3.273845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.816
y[1] (analytic) = 3.2755712
y[1] (numeric) = 3.2755712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.817
y[1] (analytic) = 3.2772978
y[1] (numeric) = 3.2772978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.818
y[1] (analytic) = 3.2790248
y[1] (numeric) = 3.2790248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.819
y[1] (analytic) = 3.2807522
y[1] (numeric) = 3.2807522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.82
y[1] (analytic) = 3.28248
y[1] (numeric) = 3.28248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.821
y[1] (analytic) = 3.2842082
y[1] (numeric) = 3.2842082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.822
y[1] (analytic) = 3.2859368
y[1] (numeric) = 3.2859368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.823
y[1] (analytic) = 3.2876658
y[1] (numeric) = 3.2876658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.824
y[1] (analytic) = 3.2893952
y[1] (numeric) = 3.2893952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.825
y[1] (analytic) = 3.291125
y[1] (numeric) = 3.291125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.826
y[1] (analytic) = 3.2928552
y[1] (numeric) = 3.2928552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.827
y[1] (analytic) = 3.2945858
y[1] (numeric) = 3.2945858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.828
y[1] (analytic) = 3.2963168
y[1] (numeric) = 3.2963168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.829
y[1] (analytic) = 3.2980482
y[1] (numeric) = 3.2980482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.83
y[1] (analytic) = 3.29978
y[1] (numeric) = 3.29978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.831
y[1] (analytic) = 3.3015122
y[1] (numeric) = 3.3015122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.832
y[1] (analytic) = 3.3032448
y[1] (numeric) = 3.3032448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.833
y[1] (analytic) = 3.3049778
y[1] (numeric) = 3.3049778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.834
y[1] (analytic) = 3.3067112
y[1] (numeric) = 3.3067112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.835
y[1] (analytic) = 3.308445
y[1] (numeric) = 3.308445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.836
y[1] (analytic) = 3.3101792
y[1] (numeric) = 3.3101792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.837
y[1] (analytic) = 3.3119138
y[1] (numeric) = 3.3119138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.838
y[1] (analytic) = 3.3136488
y[1] (numeric) = 3.3136488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.839
y[1] (analytic) = 3.3153842
y[1] (numeric) = 3.3153842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.84
y[1] (analytic) = 3.31712
y[1] (numeric) = 3.31712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.841
y[1] (analytic) = 3.3188562
y[1] (numeric) = 3.3188562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.842
y[1] (analytic) = 3.3205928
y[1] (numeric) = 3.3205928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.843
y[1] (analytic) = 3.3223298
y[1] (numeric) = 3.3223298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.844
y[1] (analytic) = 3.3240672
y[1] (numeric) = 3.3240672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.845
y[1] (analytic) = 3.325805
y[1] (numeric) = 3.325805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=3.9MB, time=26.32
NO POLE
x[1] = 2.846
y[1] (analytic) = 3.3275432
y[1] (numeric) = 3.3275432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.847
y[1] (analytic) = 3.3292818
y[1] (numeric) = 3.3292818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.848
y[1] (analytic) = 3.3310208
y[1] (numeric) = 3.3310208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.849
y[1] (analytic) = 3.3327602
y[1] (numeric) = 3.3327602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.85
y[1] (analytic) = 3.3345
y[1] (numeric) = 3.3345
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.851
y[1] (analytic) = 3.3362402
y[1] (numeric) = 3.3362402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.852
y[1] (analytic) = 3.3379808
y[1] (numeric) = 3.3379808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.853
y[1] (analytic) = 3.3397218
y[1] (numeric) = 3.3397218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.854
y[1] (analytic) = 3.3414632
y[1] (numeric) = 3.3414632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.855
y[1] (analytic) = 3.343205
y[1] (numeric) = 3.343205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.856
y[1] (analytic) = 3.3449472
y[1] (numeric) = 3.3449472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.857
y[1] (analytic) = 3.3466898
y[1] (numeric) = 3.3466898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.858
y[1] (analytic) = 3.3484328
y[1] (numeric) = 3.3484328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.859
y[1] (analytic) = 3.3501762
y[1] (numeric) = 3.3501762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.86
y[1] (analytic) = 3.35192
y[1] (numeric) = 3.35192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.861
y[1] (analytic) = 3.3536642
y[1] (numeric) = 3.3536642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.862
y[1] (analytic) = 3.3554088
y[1] (numeric) = 3.3554088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.863
y[1] (analytic) = 3.3571538
y[1] (numeric) = 3.3571538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.864
y[1] (analytic) = 3.3588992
y[1] (numeric) = 3.3588992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.865
y[1] (analytic) = 3.360645
y[1] (numeric) = 3.360645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.866
y[1] (analytic) = 3.3623912
y[1] (numeric) = 3.3623912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.867
y[1] (analytic) = 3.3641378
y[1] (numeric) = 3.3641378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.868
y[1] (analytic) = 3.3658848
y[1] (numeric) = 3.3658848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.869
y[1] (analytic) = 3.3676322
y[1] (numeric) = 3.3676322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.87
y[1] (analytic) = 3.36938
y[1] (numeric) = 3.36938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.871
y[1] (analytic) = 3.3711282
y[1] (numeric) = 3.3711282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.872
y[1] (analytic) = 3.3728768
y[1] (numeric) = 3.3728768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.873
y[1] (analytic) = 3.3746258
y[1] (numeric) = 3.3746258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.874
y[1] (analytic) = 3.3763752
y[1] (numeric) = 3.3763752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.875
y[1] (analytic) = 3.378125
y[1] (numeric) = 3.378125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.876
y[1] (analytic) = 3.3798752
y[1] (numeric) = 3.3798752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.877
y[1] (analytic) = 3.3816258
y[1] (numeric) = 3.3816258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.878
y[1] (analytic) = 3.3833768
y[1] (numeric) = 3.3833768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.879
y[1] (analytic) = 3.3851282
y[1] (numeric) = 3.3851282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.88
y[1] (analytic) = 3.38688
y[1] (numeric) = 3.38688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.881
y[1] (analytic) = 3.3886322
y[1] (numeric) = 3.3886322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.882
y[1] (analytic) = 3.3903848
y[1] (numeric) = 3.3903848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.883
y[1] (analytic) = 3.3921378
y[1] (numeric) = 3.3921378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.884
y[1] (analytic) = 3.3938912
y[1] (numeric) = 3.3938912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.885
y[1] (analytic) = 3.395645
y[1] (numeric) = 3.395645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.886
y[1] (analytic) = 3.3973992
y[1] (numeric) = 3.3973992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.887
y[1] (analytic) = 3.3991538
y[1] (numeric) = 3.3991538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.888
y[1] (analytic) = 3.4009088
y[1] (numeric) = 3.4009088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.889
y[1] (analytic) = 3.4026642
y[1] (numeric) = 3.4026642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.89
y[1] (analytic) = 3.40442
y[1] (numeric) = 3.40442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.891
y[1] (analytic) = 3.4061762
y[1] (numeric) = 3.4061762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.892
y[1] (analytic) = 3.4079328
y[1] (numeric) = 3.4079328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.893
y[1] (analytic) = 3.4096898
y[1] (numeric) = 3.4096898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.894
y[1] (analytic) = 3.4114472
y[1] (numeric) = 3.4114472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.895
y[1] (analytic) = 3.413205
y[1] (numeric) = 3.413205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.896
y[1] (analytic) = 3.4149632
y[1] (numeric) = 3.4149632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.897
y[1] (analytic) = 3.4167218
y[1] (numeric) = 3.4167218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.898
y[1] (analytic) = 3.4184808
y[1] (numeric) = 3.4184808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.899
y[1] (analytic) = 3.4202402
y[1] (numeric) = 3.4202402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9
y[1] (analytic) = 3.422
y[1] (numeric) = 3.422
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.901
y[1] (analytic) = 3.4237602
y[1] (numeric) = 3.4237602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.902
y[1] (analytic) = 3.4255208
y[1] (numeric) = 3.4255208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.903
y[1] (analytic) = 3.4272818
y[1] (numeric) = 3.4272818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.904
y[1] (analytic) = 3.4290432
y[1] (numeric) = 3.4290432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.905
y[1] (analytic) = 3.430805
y[1] (numeric) = 3.430805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.906
y[1] (analytic) = 3.4325672
y[1] (numeric) = 3.4325672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.907
y[1] (analytic) = 3.4343298
y[1] (numeric) = 3.4343298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.908
y[1] (analytic) = 3.4360928
y[1] (numeric) = 3.4360928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.909
y[1] (analytic) = 3.4378562
y[1] (numeric) = 3.4378562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.91
y[1] (analytic) = 3.43962
y[1] (numeric) = 3.43962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.911
y[1] (analytic) = 3.4413842
y[1] (numeric) = 3.4413842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=3.9MB, time=26.95
NO POLE
x[1] = 2.912
y[1] (analytic) = 3.4431488
y[1] (numeric) = 3.4431488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.913
y[1] (analytic) = 3.4449138
y[1] (numeric) = 3.4449138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.914
y[1] (analytic) = 3.4466792
y[1] (numeric) = 3.4466792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.915
y[1] (analytic) = 3.448445
y[1] (numeric) = 3.448445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.916
y[1] (analytic) = 3.4502112
y[1] (numeric) = 3.4502112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.917
y[1] (analytic) = 3.4519778
y[1] (numeric) = 3.4519778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.918
y[1] (analytic) = 3.4537448
y[1] (numeric) = 3.4537448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.919
y[1] (analytic) = 3.4555122
y[1] (numeric) = 3.4555122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.92
y[1] (analytic) = 3.45728
y[1] (numeric) = 3.45728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.921
y[1] (analytic) = 3.4590482
y[1] (numeric) = 3.4590482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.922
y[1] (analytic) = 3.4608168
y[1] (numeric) = 3.4608168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.923
y[1] (analytic) = 3.4625858
y[1] (numeric) = 3.4625858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.924
y[1] (analytic) = 3.4643552
y[1] (numeric) = 3.4643552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.925
y[1] (analytic) = 3.466125
y[1] (numeric) = 3.466125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.926
y[1] (analytic) = 3.4678952
y[1] (numeric) = 3.4678952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.927
y[1] (analytic) = 3.4696658
y[1] (numeric) = 3.4696658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.928
y[1] (analytic) = 3.4714368
y[1] (numeric) = 3.4714368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.929
y[1] (analytic) = 3.4732082
y[1] (numeric) = 3.4732082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.93
y[1] (analytic) = 3.47498
y[1] (numeric) = 3.47498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.931
y[1] (analytic) = 3.4767522
y[1] (numeric) = 3.4767522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.932
y[1] (analytic) = 3.4785248
y[1] (numeric) = 3.4785248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.933
y[1] (analytic) = 3.4802978
y[1] (numeric) = 3.4802978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.934
y[1] (analytic) = 3.4820712
y[1] (numeric) = 3.4820712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.935
y[1] (analytic) = 3.483845
y[1] (numeric) = 3.483845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.936
y[1] (analytic) = 3.4856192
y[1] (numeric) = 3.4856192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.937
y[1] (analytic) = 3.4873938
y[1] (numeric) = 3.4873938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.938
y[1] (analytic) = 3.4891688
y[1] (numeric) = 3.4891688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.939
y[1] (analytic) = 3.4909442
y[1] (numeric) = 3.4909442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.94
y[1] (analytic) = 3.49272
y[1] (numeric) = 3.49272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.941
y[1] (analytic) = 3.4944962
y[1] (numeric) = 3.4944962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.942
y[1] (analytic) = 3.4962728
y[1] (numeric) = 3.4962728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.943
y[1] (analytic) = 3.4980498
y[1] (numeric) = 3.4980498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.944
y[1] (analytic) = 3.4998272
y[1] (numeric) = 3.4998272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.945
y[1] (analytic) = 3.501605
y[1] (numeric) = 3.501605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.946
y[1] (analytic) = 3.5033832
y[1] (numeric) = 3.5033832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.947
y[1] (analytic) = 3.5051618
y[1] (numeric) = 3.5051618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.948
y[1] (analytic) = 3.5069408
y[1] (numeric) = 3.5069408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.949
y[1] (analytic) = 3.5087202
y[1] (numeric) = 3.5087202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.95
y[1] (analytic) = 3.5105
y[1] (numeric) = 3.5105
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.951
y[1] (analytic) = 3.5122802
y[1] (numeric) = 3.5122802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.952
y[1] (analytic) = 3.5140608
y[1] (numeric) = 3.5140608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.953
y[1] (analytic) = 3.5158418
y[1] (numeric) = 3.5158418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.954
y[1] (analytic) = 3.5176232
y[1] (numeric) = 3.5176232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.955
y[1] (analytic) = 3.519405
y[1] (numeric) = 3.519405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.956
y[1] (analytic) = 3.5211872
y[1] (numeric) = 3.5211872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.957
y[1] (analytic) = 3.5229698
y[1] (numeric) = 3.5229698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.958
y[1] (analytic) = 3.5247528
y[1] (numeric) = 3.5247528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.959
y[1] (analytic) = 3.5265362
y[1] (numeric) = 3.5265362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.96
y[1] (analytic) = 3.52832
y[1] (numeric) = 3.52832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.961
y[1] (analytic) = 3.5301042
y[1] (numeric) = 3.5301042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.962
y[1] (analytic) = 3.5318888
y[1] (numeric) = 3.5318888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.963
y[1] (analytic) = 3.5336738
y[1] (numeric) = 3.5336738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.964
y[1] (analytic) = 3.5354592
y[1] (numeric) = 3.5354592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.965
y[1] (analytic) = 3.537245
y[1] (numeric) = 3.537245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.966
y[1] (analytic) = 3.5390312
y[1] (numeric) = 3.5390312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.967
y[1] (analytic) = 3.5408178
y[1] (numeric) = 3.5408178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.968
y[1] (analytic) = 3.5426048
y[1] (numeric) = 3.5426048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.969
y[1] (analytic) = 3.5443922
y[1] (numeric) = 3.5443922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.97
y[1] (analytic) = 3.54618
y[1] (numeric) = 3.54618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.971
y[1] (analytic) = 3.5479682
y[1] (numeric) = 3.5479682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.972
y[1] (analytic) = 3.5497568
y[1] (numeric) = 3.5497568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.973
y[1] (analytic) = 3.5515458
y[1] (numeric) = 3.5515458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.974
y[1] (analytic) = 3.5533352
y[1] (numeric) = 3.5533352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.975
y[1] (analytic) = 3.555125
y[1] (numeric) = 3.555125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.976
y[1] (analytic) = 3.5569152
y[1] (numeric) = 3.5569152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.977
y[1] (analytic) = 3.5587058
y[1] (numeric) = 3.5587058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=3.9MB, time=27.58
NO POLE
x[1] = 2.978
y[1] (analytic) = 3.5604968
y[1] (numeric) = 3.5604968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.979
y[1] (analytic) = 3.5622882
y[1] (numeric) = 3.5622882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.98
y[1] (analytic) = 3.56408
y[1] (numeric) = 3.56408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.981
y[1] (analytic) = 3.5658722
y[1] (numeric) = 3.5658722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.982
y[1] (analytic) = 3.5676648
y[1] (numeric) = 3.5676648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.983
y[1] (analytic) = 3.5694578
y[1] (numeric) = 3.5694578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.984
y[1] (analytic) = 3.5712512
y[1] (numeric) = 3.5712512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.985
y[1] (analytic) = 3.573045
y[1] (numeric) = 3.573045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.986
y[1] (analytic) = 3.5748392
y[1] (numeric) = 3.5748392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.987
y[1] (analytic) = 3.5766338
y[1] (numeric) = 3.5766338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.988
y[1] (analytic) = 3.5784288
y[1] (numeric) = 3.5784288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.989
y[1] (analytic) = 3.5802242
y[1] (numeric) = 3.5802242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.99
y[1] (analytic) = 3.58202
y[1] (numeric) = 3.58202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.991
y[1] (analytic) = 3.5838162
y[1] (numeric) = 3.5838162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.992
y[1] (analytic) = 3.5856128
y[1] (numeric) = 3.5856128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.993
y[1] (analytic) = 3.5874098
y[1] (numeric) = 3.5874098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.994
y[1] (analytic) = 3.5892072
y[1] (numeric) = 3.5892072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.995
y[1] (analytic) = 3.591005
y[1] (numeric) = 3.591005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.996
y[1] (analytic) = 3.5928032
y[1] (numeric) = 3.5928032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.997
y[1] (analytic) = 3.5946018
y[1] (numeric) = 3.5946018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.998
y[1] (analytic) = 3.5964008
y[1] (numeric) = 3.5964008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.999
y[1] (analytic) = 3.5982002
y[1] (numeric) = 3.5982002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3
y[1] (analytic) = 3.6
y[1] (numeric) = 3.6
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.001
y[1] (analytic) = 3.6018002
y[1] (numeric) = 3.6018002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.002
y[1] (analytic) = 3.6036008
y[1] (numeric) = 3.6036008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.003
y[1] (analytic) = 3.6054018
y[1] (numeric) = 3.6054018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.004
y[1] (analytic) = 3.6072032
y[1] (numeric) = 3.6072032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.005
y[1] (analytic) = 3.609005
y[1] (numeric) = 3.609005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.006
y[1] (analytic) = 3.6108072
y[1] (numeric) = 3.6108072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.007
y[1] (analytic) = 3.6126098
y[1] (numeric) = 3.6126098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.008
y[1] (analytic) = 3.6144128
y[1] (numeric) = 3.6144128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.009
y[1] (analytic) = 3.6162162
y[1] (numeric) = 3.6162162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.01
y[1] (analytic) = 3.61802
y[1] (numeric) = 3.61802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.011
y[1] (analytic) = 3.6198242
y[1] (numeric) = 3.6198242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.012
y[1] (analytic) = 3.6216288
y[1] (numeric) = 3.6216288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.013
y[1] (analytic) = 3.6234338
y[1] (numeric) = 3.6234338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.014
y[1] (analytic) = 3.6252392
y[1] (numeric) = 3.6252392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.015
y[1] (analytic) = 3.627045
y[1] (numeric) = 3.627045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.016
y[1] (analytic) = 3.6288512
y[1] (numeric) = 3.6288512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.017
y[1] (analytic) = 3.6306578
y[1] (numeric) = 3.6306578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.018
y[1] (analytic) = 3.6324648
y[1] (numeric) = 3.6324648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.019
y[1] (analytic) = 3.6342722
y[1] (numeric) = 3.6342722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.02
y[1] (analytic) = 3.63608
y[1] (numeric) = 3.63608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.021
y[1] (analytic) = 3.6378882
y[1] (numeric) = 3.6378882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.022
y[1] (analytic) = 3.6396968
y[1] (numeric) = 3.6396968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.023
y[1] (analytic) = 3.6415058
y[1] (numeric) = 3.6415058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.024
y[1] (analytic) = 3.6433152
y[1] (numeric) = 3.6433152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.025
y[1] (analytic) = 3.645125
y[1] (numeric) = 3.645125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.026
y[1] (analytic) = 3.6469352
y[1] (numeric) = 3.6469352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.027
y[1] (analytic) = 3.6487458
y[1] (numeric) = 3.6487458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.028
y[1] (analytic) = 3.6505568
y[1] (numeric) = 3.6505568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.029
y[1] (analytic) = 3.6523682
y[1] (numeric) = 3.6523682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.03
y[1] (analytic) = 3.65418
y[1] (numeric) = 3.65418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.031
y[1] (analytic) = 3.6559922
y[1] (numeric) = 3.6559922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.032
y[1] (analytic) = 3.6578048
y[1] (numeric) = 3.6578048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.033
y[1] (analytic) = 3.6596178
y[1] (numeric) = 3.6596178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.034
y[1] (analytic) = 3.6614312
y[1] (numeric) = 3.6614312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.035
y[1] (analytic) = 3.663245
y[1] (numeric) = 3.663245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.036
y[1] (analytic) = 3.6650592
y[1] (numeric) = 3.6650592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.037
y[1] (analytic) = 3.6668738
y[1] (numeric) = 3.6668738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.038
y[1] (analytic) = 3.6686888
y[1] (numeric) = 3.6686888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.039
y[1] (analytic) = 3.6705042
y[1] (numeric) = 3.6705042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.04
y[1] (analytic) = 3.67232
y[1] (numeric) = 3.67232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.041
y[1] (analytic) = 3.6741362
y[1] (numeric) = 3.6741362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.042
y[1] (analytic) = 3.6759528
y[1] (numeric) = 3.6759528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.043
y[1] (analytic) = 3.6777698
y[1] (numeric) = 3.6777698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=3.9MB, time=28.21
NO POLE
x[1] = 3.044
y[1] (analytic) = 3.6795872
y[1] (numeric) = 3.6795872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.045
y[1] (analytic) = 3.681405
y[1] (numeric) = 3.681405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.046
y[1] (analytic) = 3.6832232
y[1] (numeric) = 3.6832232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.047
y[1] (analytic) = 3.6850418
y[1] (numeric) = 3.6850418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.048
y[1] (analytic) = 3.6868608
y[1] (numeric) = 3.6868608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.049
y[1] (analytic) = 3.6886802
y[1] (numeric) = 3.6886802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.05
y[1] (analytic) = 3.6905
y[1] (numeric) = 3.6905
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.051
y[1] (analytic) = 3.6923202
y[1] (numeric) = 3.6923202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.052
y[1] (analytic) = 3.6941408
y[1] (numeric) = 3.6941408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.053
y[1] (analytic) = 3.6959618
y[1] (numeric) = 3.6959618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.054
y[1] (analytic) = 3.6977832
y[1] (numeric) = 3.6977832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.055
y[1] (analytic) = 3.699605
y[1] (numeric) = 3.699605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.056
y[1] (analytic) = 3.7014272
y[1] (numeric) = 3.7014272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.057
y[1] (analytic) = 3.7032498
y[1] (numeric) = 3.7032498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.058
y[1] (analytic) = 3.7050728
y[1] (numeric) = 3.7050728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.059
y[1] (analytic) = 3.7068962
y[1] (numeric) = 3.7068962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.06
y[1] (analytic) = 3.70872
y[1] (numeric) = 3.70872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.061
y[1] (analytic) = 3.7105442
y[1] (numeric) = 3.7105442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.062
y[1] (analytic) = 3.7123688
y[1] (numeric) = 3.7123688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.063
y[1] (analytic) = 3.7141938
y[1] (numeric) = 3.7141938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.064
y[1] (analytic) = 3.7160192
y[1] (numeric) = 3.7160192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.065
y[1] (analytic) = 3.717845
y[1] (numeric) = 3.717845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.066
y[1] (analytic) = 3.7196712
y[1] (numeric) = 3.7196712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.067
y[1] (analytic) = 3.7214978
y[1] (numeric) = 3.7214978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.068
y[1] (analytic) = 3.7233248
y[1] (numeric) = 3.7233248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.069
y[1] (analytic) = 3.7251522
y[1] (numeric) = 3.7251522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.07
y[1] (analytic) = 3.72698
y[1] (numeric) = 3.72698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.071
y[1] (analytic) = 3.7288082
y[1] (numeric) = 3.7288082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.072
y[1] (analytic) = 3.7306368
y[1] (numeric) = 3.7306368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.073
y[1] (analytic) = 3.7324658
y[1] (numeric) = 3.7324658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.074
y[1] (analytic) = 3.7342952
y[1] (numeric) = 3.7342952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.075
y[1] (analytic) = 3.736125
y[1] (numeric) = 3.736125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.076
y[1] (analytic) = 3.7379552
y[1] (numeric) = 3.7379552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.077
y[1] (analytic) = 3.7397858
y[1] (numeric) = 3.7397858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.078
y[1] (analytic) = 3.7416168
y[1] (numeric) = 3.7416168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.079
y[1] (analytic) = 3.7434482
y[1] (numeric) = 3.7434482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.08
y[1] (analytic) = 3.74528
y[1] (numeric) = 3.74528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.081
y[1] (analytic) = 3.7471122
y[1] (numeric) = 3.7471122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.082
y[1] (analytic) = 3.7489448
y[1] (numeric) = 3.7489448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.083
y[1] (analytic) = 3.7507778
y[1] (numeric) = 3.7507778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.084
y[1] (analytic) = 3.7526112
y[1] (numeric) = 3.7526112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.085
y[1] (analytic) = 3.754445
y[1] (numeric) = 3.754445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.086
y[1] (analytic) = 3.7562792
y[1] (numeric) = 3.7562792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.087
y[1] (analytic) = 3.7581138
y[1] (numeric) = 3.7581138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.088
y[1] (analytic) = 3.7599488
y[1] (numeric) = 3.7599488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.089
y[1] (analytic) = 3.7617842
y[1] (numeric) = 3.7617842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.09
y[1] (analytic) = 3.76362
y[1] (numeric) = 3.76362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.091
y[1] (analytic) = 3.7654562
y[1] (numeric) = 3.7654562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.092
y[1] (analytic) = 3.7672928
y[1] (numeric) = 3.7672928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.093
y[1] (analytic) = 3.7691298
y[1] (numeric) = 3.7691298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.094
y[1] (analytic) = 3.7709672
y[1] (numeric) = 3.7709672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.095
y[1] (analytic) = 3.772805
y[1] (numeric) = 3.772805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.096
y[1] (analytic) = 3.7746432
y[1] (numeric) = 3.7746432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.097
y[1] (analytic) = 3.7764818
y[1] (numeric) = 3.7764818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.098
y[1] (analytic) = 3.7783208
y[1] (numeric) = 3.7783208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.099
y[1] (analytic) = 3.7801602
y[1] (numeric) = 3.7801602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1
y[1] (analytic) = 3.782
y[1] (numeric) = 3.782
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.101
y[1] (analytic) = 3.7838402
y[1] (numeric) = 3.7838402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.102
y[1] (analytic) = 3.7856808
y[1] (numeric) = 3.7856808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.103
y[1] (analytic) = 3.7875218
y[1] (numeric) = 3.7875218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.104
y[1] (analytic) = 3.7893632
y[1] (numeric) = 3.7893632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.105
y[1] (analytic) = 3.791205
y[1] (numeric) = 3.791205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.106
y[1] (analytic) = 3.7930472
y[1] (numeric) = 3.7930472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.107
y[1] (analytic) = 3.7948898
y[1] (numeric) = 3.7948898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.108
y[1] (analytic) = 3.7967328
y[1] (numeric) = 3.7967328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.109
y[1] (analytic) = 3.7985762
y[1] (numeric) = 3.7985762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=3.9MB, time=28.86
NO POLE
x[1] = 3.11
y[1] (analytic) = 3.80042
y[1] (numeric) = 3.80042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.111
y[1] (analytic) = 3.8022642
y[1] (numeric) = 3.8022642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.112
y[1] (analytic) = 3.8041088
y[1] (numeric) = 3.8041088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.113
y[1] (analytic) = 3.8059538
y[1] (numeric) = 3.8059538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.114
y[1] (analytic) = 3.8077992
y[1] (numeric) = 3.8077992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.115
y[1] (analytic) = 3.809645
y[1] (numeric) = 3.809645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.116
y[1] (analytic) = 3.8114912
y[1] (numeric) = 3.8114912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.117
y[1] (analytic) = 3.8133378
y[1] (numeric) = 3.8133378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.118
y[1] (analytic) = 3.8151848
y[1] (numeric) = 3.8151848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.119
y[1] (analytic) = 3.8170322
y[1] (numeric) = 3.8170322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.12
y[1] (analytic) = 3.81888
y[1] (numeric) = 3.81888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.121
y[1] (analytic) = 3.8207282
y[1] (numeric) = 3.8207282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.122
y[1] (analytic) = 3.8225768
y[1] (numeric) = 3.8225768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.123
y[1] (analytic) = 3.8244258
y[1] (numeric) = 3.8244258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.124
y[1] (analytic) = 3.8262752
y[1] (numeric) = 3.8262752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.125
y[1] (analytic) = 3.828125
y[1] (numeric) = 3.828125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.126
y[1] (analytic) = 3.8299752
y[1] (numeric) = 3.8299752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.127
y[1] (analytic) = 3.8318258
y[1] (numeric) = 3.8318258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.128
y[1] (analytic) = 3.8336768
y[1] (numeric) = 3.8336768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.129
y[1] (analytic) = 3.8355282
y[1] (numeric) = 3.8355282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.13
y[1] (analytic) = 3.83738
y[1] (numeric) = 3.83738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.131
y[1] (analytic) = 3.8392322
y[1] (numeric) = 3.8392322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.132
y[1] (analytic) = 3.8410848
y[1] (numeric) = 3.8410848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.133
y[1] (analytic) = 3.8429378
y[1] (numeric) = 3.8429378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.134
y[1] (analytic) = 3.8447912
y[1] (numeric) = 3.8447912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.135
y[1] (analytic) = 3.846645
y[1] (numeric) = 3.846645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.136
y[1] (analytic) = 3.8484992
y[1] (numeric) = 3.8484992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.137
y[1] (analytic) = 3.8503538
y[1] (numeric) = 3.8503538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.138
y[1] (analytic) = 3.8522088
y[1] (numeric) = 3.8522088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.139
y[1] (analytic) = 3.8540642
y[1] (numeric) = 3.8540642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.14
y[1] (analytic) = 3.85592
y[1] (numeric) = 3.85592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.141
y[1] (analytic) = 3.8577762
y[1] (numeric) = 3.8577762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.142
y[1] (analytic) = 3.8596328
y[1] (numeric) = 3.8596328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.143
y[1] (analytic) = 3.8614898
y[1] (numeric) = 3.8614898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.144
y[1] (analytic) = 3.8633472
y[1] (numeric) = 3.8633472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.145
y[1] (analytic) = 3.865205
y[1] (numeric) = 3.865205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.146
y[1] (analytic) = 3.8670632
y[1] (numeric) = 3.8670632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.147
y[1] (analytic) = 3.8689218
y[1] (numeric) = 3.8689218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.148
y[1] (analytic) = 3.8707808
y[1] (numeric) = 3.8707808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.149
y[1] (analytic) = 3.8726402
y[1] (numeric) = 3.8726402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.15
y[1] (analytic) = 3.8745
y[1] (numeric) = 3.8745
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.151
y[1] (analytic) = 3.8763602
y[1] (numeric) = 3.8763602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.152
y[1] (analytic) = 3.8782208
y[1] (numeric) = 3.8782208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.153
y[1] (analytic) = 3.8800818
y[1] (numeric) = 3.8800818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.154
y[1] (analytic) = 3.8819432
y[1] (numeric) = 3.8819432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.155
y[1] (analytic) = 3.883805
y[1] (numeric) = 3.883805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.156
y[1] (analytic) = 3.8856672
y[1] (numeric) = 3.8856672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.157
y[1] (analytic) = 3.8875298
y[1] (numeric) = 3.8875298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.158
y[1] (analytic) = 3.8893928
y[1] (numeric) = 3.8893928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.159
y[1] (analytic) = 3.8912562
y[1] (numeric) = 3.8912562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.16
y[1] (analytic) = 3.89312
y[1] (numeric) = 3.89312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.161
y[1] (analytic) = 3.8949842
y[1] (numeric) = 3.8949842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.162
y[1] (analytic) = 3.8968488
y[1] (numeric) = 3.8968488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.163
y[1] (analytic) = 3.8987138
y[1] (numeric) = 3.8987138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.164
y[1] (analytic) = 3.9005792
y[1] (numeric) = 3.9005792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.165
y[1] (analytic) = 3.902445
y[1] (numeric) = 3.902445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.166
y[1] (analytic) = 3.9043112
y[1] (numeric) = 3.9043112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.167
y[1] (analytic) = 3.9061778
y[1] (numeric) = 3.9061778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.168
y[1] (analytic) = 3.9080448
y[1] (numeric) = 3.9080448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.169
y[1] (analytic) = 3.9099122
y[1] (numeric) = 3.9099122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.17
y[1] (analytic) = 3.91178
y[1] (numeric) = 3.91178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.171
y[1] (analytic) = 3.9136482
y[1] (numeric) = 3.9136482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.172
y[1] (analytic) = 3.9155168
y[1] (numeric) = 3.9155168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.173
y[1] (analytic) = 3.9173858
y[1] (numeric) = 3.9173858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.174
y[1] (analytic) = 3.9192552
y[1] (numeric) = 3.9192552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.175
y[1] (analytic) = 3.921125
y[1] (numeric) = 3.921125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=179.2MB, alloc=3.9MB, time=29.51
x[1] = 3.176
y[1] (analytic) = 3.9229952
y[1] (numeric) = 3.9229952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.177
y[1] (analytic) = 3.9248658
y[1] (numeric) = 3.9248658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.178
y[1] (analytic) = 3.9267368
y[1] (numeric) = 3.9267368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.179
y[1] (analytic) = 3.9286082
y[1] (numeric) = 3.9286082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.18
y[1] (analytic) = 3.93048
y[1] (numeric) = 3.93048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.181
y[1] (analytic) = 3.9323522
y[1] (numeric) = 3.9323522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.182
y[1] (analytic) = 3.9342248
y[1] (numeric) = 3.9342248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.183
y[1] (analytic) = 3.9360978
y[1] (numeric) = 3.9360978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.184
y[1] (analytic) = 3.9379712
y[1] (numeric) = 3.9379712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.185
y[1] (analytic) = 3.939845
y[1] (numeric) = 3.939845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.186
y[1] (analytic) = 3.9417192
y[1] (numeric) = 3.9417192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.187
y[1] (analytic) = 3.9435938
y[1] (numeric) = 3.9435938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.188
y[1] (analytic) = 3.9454688
y[1] (numeric) = 3.9454688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.189
y[1] (analytic) = 3.9473442
y[1] (numeric) = 3.9473442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.19
y[1] (analytic) = 3.94922
y[1] (numeric) = 3.94922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.191
y[1] (analytic) = 3.9510962
y[1] (numeric) = 3.9510962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.192
y[1] (analytic) = 3.9529728
y[1] (numeric) = 3.9529728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.193
y[1] (analytic) = 3.9548498
y[1] (numeric) = 3.9548498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.194
y[1] (analytic) = 3.9567272
y[1] (numeric) = 3.9567272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.195
y[1] (analytic) = 3.958605
y[1] (numeric) = 3.958605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.196
y[1] (analytic) = 3.9604832
y[1] (numeric) = 3.9604832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.197
y[1] (analytic) = 3.9623618
y[1] (numeric) = 3.9623618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.198
y[1] (analytic) = 3.9642408
y[1] (numeric) = 3.9642408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.199
y[1] (analytic) = 3.9661202
y[1] (numeric) = 3.9661202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2
y[1] (analytic) = 3.968
y[1] (numeric) = 3.968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.201
y[1] (analytic) = 3.9698802
y[1] (numeric) = 3.9698802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.202
y[1] (analytic) = 3.9717608
y[1] (numeric) = 3.9717608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.203
y[1] (analytic) = 3.9736418
y[1] (numeric) = 3.9736418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.204
y[1] (analytic) = 3.9755232
y[1] (numeric) = 3.9755232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.205
y[1] (analytic) = 3.977405
y[1] (numeric) = 3.977405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.206
y[1] (analytic) = 3.9792872
y[1] (numeric) = 3.9792872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.207
y[1] (analytic) = 3.9811698
y[1] (numeric) = 3.9811698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.208
y[1] (analytic) = 3.9830528
y[1] (numeric) = 3.9830528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.209
y[1] (analytic) = 3.9849362
y[1] (numeric) = 3.9849362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.21
y[1] (analytic) = 3.98682
y[1] (numeric) = 3.98682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.211
y[1] (analytic) = 3.9887042
y[1] (numeric) = 3.9887042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.212
y[1] (analytic) = 3.9905888
y[1] (numeric) = 3.9905888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.213
y[1] (analytic) = 3.9924738
y[1] (numeric) = 3.9924738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.214
y[1] (analytic) = 3.9943592
y[1] (numeric) = 3.9943592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.215
y[1] (analytic) = 3.996245
y[1] (numeric) = 3.996245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.216
y[1] (analytic) = 3.9981312
y[1] (numeric) = 3.9981312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.217
y[1] (analytic) = 4.0000178
y[1] (numeric) = 4.0000178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.218
y[1] (analytic) = 4.0019048
y[1] (numeric) = 4.0019048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.219
y[1] (analytic) = 4.0037922
y[1] (numeric) = 4.0037922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.22
y[1] (analytic) = 4.00568
y[1] (numeric) = 4.00568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.221
y[1] (analytic) = 4.0075682
y[1] (numeric) = 4.0075682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.222
y[1] (analytic) = 4.0094568
y[1] (numeric) = 4.0094568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.223
y[1] (analytic) = 4.0113458
y[1] (numeric) = 4.0113458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.224
y[1] (analytic) = 4.0132352
y[1] (numeric) = 4.0132352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.225
y[1] (analytic) = 4.015125
y[1] (numeric) = 4.015125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.226
y[1] (analytic) = 4.0170152
y[1] (numeric) = 4.0170152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.227
y[1] (analytic) = 4.0189058
y[1] (numeric) = 4.0189058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.228
y[1] (analytic) = 4.0207968
y[1] (numeric) = 4.0207968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.229
y[1] (analytic) = 4.0226882
y[1] (numeric) = 4.0226882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.23
y[1] (analytic) = 4.02458
y[1] (numeric) = 4.02458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.231
y[1] (analytic) = 4.0264722
y[1] (numeric) = 4.0264722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.232
y[1] (analytic) = 4.0283648
y[1] (numeric) = 4.0283648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.233
y[1] (analytic) = 4.0302578
y[1] (numeric) = 4.0302578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.234
y[1] (analytic) = 4.0321512
y[1] (numeric) = 4.0321512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.235
y[1] (analytic) = 4.034045
y[1] (numeric) = 4.034045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.236
y[1] (analytic) = 4.0359392
y[1] (numeric) = 4.0359392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.237
y[1] (analytic) = 4.0378338
y[1] (numeric) = 4.0378338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.238
y[1] (analytic) = 4.0397288
y[1] (numeric) = 4.0397288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.239
y[1] (analytic) = 4.0416242
y[1] (numeric) = 4.0416242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.24
y[1] (analytic) = 4.04352
y[1] (numeric) = 4.04352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.241
y[1] (analytic) = 4.0454162
y[1] (numeric) = 4.0454162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=183.1MB, alloc=3.9MB, time=30.14
x[1] = 3.242
y[1] (analytic) = 4.0473128
y[1] (numeric) = 4.0473128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.243
y[1] (analytic) = 4.0492098
y[1] (numeric) = 4.0492098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.244
y[1] (analytic) = 4.0511072
y[1] (numeric) = 4.0511072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.245
y[1] (analytic) = 4.053005
y[1] (numeric) = 4.053005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.246
y[1] (analytic) = 4.0549032
y[1] (numeric) = 4.0549032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.247
y[1] (analytic) = 4.0568018
y[1] (numeric) = 4.0568018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.248
y[1] (analytic) = 4.0587008
y[1] (numeric) = 4.0587008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.249
y[1] (analytic) = 4.0606002
y[1] (numeric) = 4.0606002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.25
y[1] (analytic) = 4.0625
y[1] (numeric) = 4.0625
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.251
y[1] (analytic) = 4.0644002
y[1] (numeric) = 4.0644002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.252
y[1] (analytic) = 4.0663008
y[1] (numeric) = 4.0663008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.253
y[1] (analytic) = 4.0682018
y[1] (numeric) = 4.0682018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.254
y[1] (analytic) = 4.0701032
y[1] (numeric) = 4.0701032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.255
y[1] (analytic) = 4.072005
y[1] (numeric) = 4.072005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.256
y[1] (analytic) = 4.0739072
y[1] (numeric) = 4.0739072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.257
y[1] (analytic) = 4.0758098
y[1] (numeric) = 4.0758098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.258
y[1] (analytic) = 4.0777128
y[1] (numeric) = 4.0777128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.259
y[1] (analytic) = 4.0796162
y[1] (numeric) = 4.0796162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.26
y[1] (analytic) = 4.08152
y[1] (numeric) = 4.08152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.261
y[1] (analytic) = 4.0834242
y[1] (numeric) = 4.0834242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.262
y[1] (analytic) = 4.0853288
y[1] (numeric) = 4.0853288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.263
y[1] (analytic) = 4.0872338
y[1] (numeric) = 4.0872338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.264
y[1] (analytic) = 4.0891392
y[1] (numeric) = 4.0891392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.265
y[1] (analytic) = 4.091045
y[1] (numeric) = 4.091045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.266
y[1] (analytic) = 4.0929512
y[1] (numeric) = 4.0929512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.267
y[1] (analytic) = 4.0948578
y[1] (numeric) = 4.0948578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.268
y[1] (analytic) = 4.0967648
y[1] (numeric) = 4.0967648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.269
y[1] (analytic) = 4.0986722
y[1] (numeric) = 4.0986722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.27
y[1] (analytic) = 4.10058
y[1] (numeric) = 4.10058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.271
y[1] (analytic) = 4.1024882
y[1] (numeric) = 4.1024882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.272
y[1] (analytic) = 4.1043968
y[1] (numeric) = 4.1043968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.273
y[1] (analytic) = 4.1063058
y[1] (numeric) = 4.1063058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.274
y[1] (analytic) = 4.1082152
y[1] (numeric) = 4.1082152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.275
y[1] (analytic) = 4.110125
y[1] (numeric) = 4.110125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.276
y[1] (analytic) = 4.1120352
y[1] (numeric) = 4.1120352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.277
y[1] (analytic) = 4.1139458
y[1] (numeric) = 4.1139458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.278
y[1] (analytic) = 4.1158568
y[1] (numeric) = 4.1158568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.279
y[1] (analytic) = 4.1177682
y[1] (numeric) = 4.1177682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.28
y[1] (analytic) = 4.11968
y[1] (numeric) = 4.11968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.281
y[1] (analytic) = 4.1215922
y[1] (numeric) = 4.1215922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.282
y[1] (analytic) = 4.1235048
y[1] (numeric) = 4.1235048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.283
y[1] (analytic) = 4.1254178
y[1] (numeric) = 4.1254178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.284
y[1] (analytic) = 4.1273312
y[1] (numeric) = 4.1273312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.285
y[1] (analytic) = 4.129245
y[1] (numeric) = 4.129245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.286
y[1] (analytic) = 4.1311592
y[1] (numeric) = 4.1311592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.287
y[1] (analytic) = 4.1330738
y[1] (numeric) = 4.1330738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.288
y[1] (analytic) = 4.1349888
y[1] (numeric) = 4.1349888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.289
y[1] (analytic) = 4.1369042
y[1] (numeric) = 4.1369042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.29
y[1] (analytic) = 4.13882
y[1] (numeric) = 4.13882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.291
y[1] (analytic) = 4.1407362
y[1] (numeric) = 4.1407362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.292
y[1] (analytic) = 4.1426528
y[1] (numeric) = 4.1426528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.293
y[1] (analytic) = 4.1445698
y[1] (numeric) = 4.1445698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.294
y[1] (analytic) = 4.1464872
y[1] (numeric) = 4.1464872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.295
y[1] (analytic) = 4.148405
y[1] (numeric) = 4.148405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.296
y[1] (analytic) = 4.1503232
y[1] (numeric) = 4.1503232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.297
y[1] (analytic) = 4.1522418
y[1] (numeric) = 4.1522418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.298
y[1] (analytic) = 4.1541608
y[1] (numeric) = 4.1541608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.299
y[1] (analytic) = 4.1560802
y[1] (numeric) = 4.1560802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3
y[1] (analytic) = 4.158
y[1] (numeric) = 4.158
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.301
y[1] (analytic) = 4.1599202
y[1] (numeric) = 4.1599202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.302
y[1] (analytic) = 4.1618408
y[1] (numeric) = 4.1618408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.303
y[1] (analytic) = 4.1637618
y[1] (numeric) = 4.1637618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.304
y[1] (analytic) = 4.1656832
y[1] (numeric) = 4.1656832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.305
y[1] (analytic) = 4.167605
y[1] (numeric) = 4.167605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.306
y[1] (analytic) = 4.1695272
y[1] (numeric) = 4.1695272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.307
y[1] (analytic) = 4.1714498
y[1] (numeric) = 4.1714498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=186.9MB, alloc=3.9MB, time=30.79
x[1] = 3.308
y[1] (analytic) = 4.1733728
y[1] (numeric) = 4.1733728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.309
y[1] (analytic) = 4.1752962
y[1] (numeric) = 4.1752962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.31
y[1] (analytic) = 4.17722
y[1] (numeric) = 4.17722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.311
y[1] (analytic) = 4.1791442
y[1] (numeric) = 4.1791442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.312
y[1] (analytic) = 4.1810688
y[1] (numeric) = 4.1810688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.313
y[1] (analytic) = 4.1829938
y[1] (numeric) = 4.1829938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.314
y[1] (analytic) = 4.1849192
y[1] (numeric) = 4.1849192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.315
y[1] (analytic) = 4.186845
y[1] (numeric) = 4.186845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.316
y[1] (analytic) = 4.1887712
y[1] (numeric) = 4.1887712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.317
y[1] (analytic) = 4.1906978
y[1] (numeric) = 4.1906978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.318
y[1] (analytic) = 4.1926248
y[1] (numeric) = 4.1926248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.319
y[1] (analytic) = 4.1945522
y[1] (numeric) = 4.1945522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.32
y[1] (analytic) = 4.19648
y[1] (numeric) = 4.19648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.321
y[1] (analytic) = 4.1984082
y[1] (numeric) = 4.1984082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.322
y[1] (analytic) = 4.2003368
y[1] (numeric) = 4.2003368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.323
y[1] (analytic) = 4.2022658
y[1] (numeric) = 4.2022658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.324
y[1] (analytic) = 4.2041952
y[1] (numeric) = 4.2041952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.325
y[1] (analytic) = 4.206125
y[1] (numeric) = 4.206125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.326
y[1] (analytic) = 4.2080552
y[1] (numeric) = 4.2080552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.327
y[1] (analytic) = 4.2099858
y[1] (numeric) = 4.2099858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.328
y[1] (analytic) = 4.2119168
y[1] (numeric) = 4.2119168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.329
y[1] (analytic) = 4.2138482
y[1] (numeric) = 4.2138482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.33
y[1] (analytic) = 4.21578
y[1] (numeric) = 4.21578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.331
y[1] (analytic) = 4.2177122
y[1] (numeric) = 4.2177122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.332
y[1] (analytic) = 4.2196448
y[1] (numeric) = 4.2196448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.333
y[1] (analytic) = 4.2215778
y[1] (numeric) = 4.2215778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.334
y[1] (analytic) = 4.2235112
y[1] (numeric) = 4.2235112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.335
y[1] (analytic) = 4.225445
y[1] (numeric) = 4.225445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.336
y[1] (analytic) = 4.2273792
y[1] (numeric) = 4.2273792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.337
y[1] (analytic) = 4.2293138
y[1] (numeric) = 4.2293138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.338
y[1] (analytic) = 4.2312488
y[1] (numeric) = 4.2312488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.339
y[1] (analytic) = 4.2331842
y[1] (numeric) = 4.2331842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.34
y[1] (analytic) = 4.23512
y[1] (numeric) = 4.23512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.341
y[1] (analytic) = 4.2370562
y[1] (numeric) = 4.2370562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.342
y[1] (analytic) = 4.2389928
y[1] (numeric) = 4.2389928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.343
y[1] (analytic) = 4.2409298
y[1] (numeric) = 4.2409298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.344
y[1] (analytic) = 4.2428672
y[1] (numeric) = 4.2428672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.345
y[1] (analytic) = 4.244805
y[1] (numeric) = 4.244805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.346
y[1] (analytic) = 4.2467432
y[1] (numeric) = 4.2467432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.347
y[1] (analytic) = 4.2486818
y[1] (numeric) = 4.2486818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.348
y[1] (analytic) = 4.2506208
y[1] (numeric) = 4.2506208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.349
y[1] (analytic) = 4.2525602
y[1] (numeric) = 4.2525602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.35
y[1] (analytic) = 4.2545
y[1] (numeric) = 4.2545
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.351
y[1] (analytic) = 4.2564402
y[1] (numeric) = 4.2564402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.352
y[1] (analytic) = 4.2583808
y[1] (numeric) = 4.2583808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.353
y[1] (analytic) = 4.2603218
y[1] (numeric) = 4.2603218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.354
y[1] (analytic) = 4.2622632
y[1] (numeric) = 4.2622632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.355
y[1] (analytic) = 4.264205
y[1] (numeric) = 4.264205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.356
y[1] (analytic) = 4.2661472
y[1] (numeric) = 4.2661472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.357
y[1] (analytic) = 4.2680898
y[1] (numeric) = 4.2680898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.358
y[1] (analytic) = 4.2700328
y[1] (numeric) = 4.2700328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.359
y[1] (analytic) = 4.2719762
y[1] (numeric) = 4.2719762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.36
y[1] (analytic) = 4.27392
y[1] (numeric) = 4.27392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.361
y[1] (analytic) = 4.2758642
y[1] (numeric) = 4.2758642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.362
y[1] (analytic) = 4.2778088
y[1] (numeric) = 4.2778088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.363
y[1] (analytic) = 4.2797538
y[1] (numeric) = 4.2797538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.364
y[1] (analytic) = 4.2816992
y[1] (numeric) = 4.2816992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.365
y[1] (analytic) = 4.283645
y[1] (numeric) = 4.283645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.366
y[1] (analytic) = 4.2855912
y[1] (numeric) = 4.2855912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.367
y[1] (analytic) = 4.2875378
y[1] (numeric) = 4.2875378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.368
y[1] (analytic) = 4.2894848
y[1] (numeric) = 4.2894848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.369
y[1] (analytic) = 4.2914322
y[1] (numeric) = 4.2914322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.37
y[1] (analytic) = 4.29338
y[1] (numeric) = 4.29338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.371
y[1] (analytic) = 4.2953282
y[1] (numeric) = 4.2953282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.372
y[1] (analytic) = 4.2972768
y[1] (numeric) = 4.2972768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.373
y[1] (analytic) = 4.2992258
y[1] (numeric) = 4.2992258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=190.7MB, alloc=3.9MB, time=31.44
x[1] = 3.374
y[1] (analytic) = 4.3011752
y[1] (numeric) = 4.3011752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.375
y[1] (analytic) = 4.303125
y[1] (numeric) = 4.303125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.376
y[1] (analytic) = 4.3050752
y[1] (numeric) = 4.3050752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.377
y[1] (analytic) = 4.3070258
y[1] (numeric) = 4.3070258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.378
y[1] (analytic) = 4.3089768
y[1] (numeric) = 4.3089768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.379
y[1] (analytic) = 4.3109282
y[1] (numeric) = 4.3109282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.38
y[1] (analytic) = 4.31288
y[1] (numeric) = 4.31288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.381
y[1] (analytic) = 4.3148322
y[1] (numeric) = 4.3148322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.382
y[1] (analytic) = 4.3167848
y[1] (numeric) = 4.3167848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.383
y[1] (analytic) = 4.3187378
y[1] (numeric) = 4.3187378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.384
y[1] (analytic) = 4.3206912
y[1] (numeric) = 4.3206912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.385
y[1] (analytic) = 4.322645
y[1] (numeric) = 4.322645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.386
y[1] (analytic) = 4.3245992
y[1] (numeric) = 4.3245992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.387
y[1] (analytic) = 4.3265538
y[1] (numeric) = 4.3265538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.388
y[1] (analytic) = 4.3285088
y[1] (numeric) = 4.3285088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.389
y[1] (analytic) = 4.3304642
y[1] (numeric) = 4.3304642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.39
y[1] (analytic) = 4.33242
y[1] (numeric) = 4.33242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.391
y[1] (analytic) = 4.3343762
y[1] (numeric) = 4.3343762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.392
y[1] (analytic) = 4.3363328
y[1] (numeric) = 4.3363328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.393
y[1] (analytic) = 4.3382898
y[1] (numeric) = 4.3382898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.394
y[1] (analytic) = 4.3402472
y[1] (numeric) = 4.3402472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.395
y[1] (analytic) = 4.342205
y[1] (numeric) = 4.342205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.396
y[1] (analytic) = 4.3441632
y[1] (numeric) = 4.3441632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.397
y[1] (analytic) = 4.3461218
y[1] (numeric) = 4.3461218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.398
y[1] (analytic) = 4.3480808
y[1] (numeric) = 4.3480808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.399
y[1] (analytic) = 4.3500402
y[1] (numeric) = 4.3500402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4
y[1] (analytic) = 4.352
y[1] (numeric) = 4.352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.401
y[1] (analytic) = 4.3539602
y[1] (numeric) = 4.3539602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.402
y[1] (analytic) = 4.3559208
y[1] (numeric) = 4.3559208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.403
y[1] (analytic) = 4.3578818
y[1] (numeric) = 4.3578818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.404
y[1] (analytic) = 4.3598432
y[1] (numeric) = 4.3598432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.405
y[1] (analytic) = 4.361805
y[1] (numeric) = 4.361805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.406
y[1] (analytic) = 4.3637672
y[1] (numeric) = 4.3637672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.407
y[1] (analytic) = 4.3657298
y[1] (numeric) = 4.3657298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.408
y[1] (analytic) = 4.3676928
y[1] (numeric) = 4.3676928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.409
y[1] (analytic) = 4.3696562
y[1] (numeric) = 4.3696562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.41
y[1] (analytic) = 4.37162
y[1] (numeric) = 4.37162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.411
y[1] (analytic) = 4.3735842
y[1] (numeric) = 4.3735842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.412
y[1] (analytic) = 4.3755488
y[1] (numeric) = 4.3755488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.413
y[1] (analytic) = 4.3775138
y[1] (numeric) = 4.3775138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.414
y[1] (analytic) = 4.3794792
y[1] (numeric) = 4.3794792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.415
y[1] (analytic) = 4.381445
y[1] (numeric) = 4.381445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.416
y[1] (analytic) = 4.3834112
y[1] (numeric) = 4.3834112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.417
y[1] (analytic) = 4.3853778
y[1] (numeric) = 4.3853778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.418
y[1] (analytic) = 4.3873448
y[1] (numeric) = 4.3873448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.419
y[1] (analytic) = 4.3893122
y[1] (numeric) = 4.3893122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.42
y[1] (analytic) = 4.39128
y[1] (numeric) = 4.39128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.421
y[1] (analytic) = 4.3932482
y[1] (numeric) = 4.3932482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.422
y[1] (analytic) = 4.3952168
y[1] (numeric) = 4.3952168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.423
y[1] (analytic) = 4.3971858
y[1] (numeric) = 4.3971858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.424
y[1] (analytic) = 4.3991552
y[1] (numeric) = 4.3991552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.425
y[1] (analytic) = 4.401125
y[1] (numeric) = 4.401125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.426
y[1] (analytic) = 4.4030952
y[1] (numeric) = 4.4030952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.427
y[1] (analytic) = 4.4050658
y[1] (numeric) = 4.4050658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.428
y[1] (analytic) = 4.4070368
y[1] (numeric) = 4.4070368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.429
y[1] (analytic) = 4.4090082
y[1] (numeric) = 4.4090082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.43
y[1] (analytic) = 4.41098
y[1] (numeric) = 4.41098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.431
y[1] (analytic) = 4.4129522
y[1] (numeric) = 4.4129522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.432
y[1] (analytic) = 4.4149248
y[1] (numeric) = 4.4149248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.433
y[1] (analytic) = 4.4168978
y[1] (numeric) = 4.4168978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.434
y[1] (analytic) = 4.4188712
y[1] (numeric) = 4.4188712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.435
y[1] (analytic) = 4.420845
y[1] (numeric) = 4.420845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.436
y[1] (analytic) = 4.4228192
y[1] (numeric) = 4.4228192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.437
y[1] (analytic) = 4.4247938
y[1] (numeric) = 4.4247938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.438
y[1] (analytic) = 4.4267688
y[1] (numeric) = 4.4267688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.439
y[1] (analytic) = 4.4287442
y[1] (numeric) = 4.4287442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=194.5MB, alloc=3.9MB, time=32.09
x[1] = 3.44
y[1] (analytic) = 4.43072
y[1] (numeric) = 4.43072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.441
y[1] (analytic) = 4.4326962
y[1] (numeric) = 4.4326962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.442
y[1] (analytic) = 4.4346728
y[1] (numeric) = 4.4346728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.443
y[1] (analytic) = 4.4366498
y[1] (numeric) = 4.4366498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.444
y[1] (analytic) = 4.4386272
y[1] (numeric) = 4.4386272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.445
y[1] (analytic) = 4.440605
y[1] (numeric) = 4.440605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.446
y[1] (analytic) = 4.4425832
y[1] (numeric) = 4.4425832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.447
y[1] (analytic) = 4.4445618
y[1] (numeric) = 4.4445618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.448
y[1] (analytic) = 4.4465408
y[1] (numeric) = 4.4465408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.449
y[1] (analytic) = 4.4485202
y[1] (numeric) = 4.4485202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.45
y[1] (analytic) = 4.4505
y[1] (numeric) = 4.4505
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.451
y[1] (analytic) = 4.4524802
y[1] (numeric) = 4.4524802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.452
y[1] (analytic) = 4.4544608
y[1] (numeric) = 4.4544608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.453
y[1] (analytic) = 4.4564418
y[1] (numeric) = 4.4564418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.454
y[1] (analytic) = 4.4584232
y[1] (numeric) = 4.4584232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.455
y[1] (analytic) = 4.460405
y[1] (numeric) = 4.460405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.456
y[1] (analytic) = 4.4623872
y[1] (numeric) = 4.4623872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.457
y[1] (analytic) = 4.4643698
y[1] (numeric) = 4.4643698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.458
y[1] (analytic) = 4.4663528
y[1] (numeric) = 4.4663528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.459
y[1] (analytic) = 4.4683362
y[1] (numeric) = 4.4683362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.46
y[1] (analytic) = 4.47032
y[1] (numeric) = 4.47032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.461
y[1] (analytic) = 4.4723042
y[1] (numeric) = 4.4723042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.462
y[1] (analytic) = 4.4742888
y[1] (numeric) = 4.4742888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.463
y[1] (analytic) = 4.4762738
y[1] (numeric) = 4.4762738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.464
y[1] (analytic) = 4.4782592
y[1] (numeric) = 4.4782592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.465
y[1] (analytic) = 4.480245
y[1] (numeric) = 4.480245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.466
y[1] (analytic) = 4.4822312
y[1] (numeric) = 4.4822312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.467
y[1] (analytic) = 4.4842178
y[1] (numeric) = 4.4842178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.468
y[1] (analytic) = 4.4862048
y[1] (numeric) = 4.4862048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.469
y[1] (analytic) = 4.4881922
y[1] (numeric) = 4.4881922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.47
y[1] (analytic) = 4.49018
y[1] (numeric) = 4.49018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.471
y[1] (analytic) = 4.4921682
y[1] (numeric) = 4.4921682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.472
y[1] (analytic) = 4.4941568
y[1] (numeric) = 4.4941568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.473
y[1] (analytic) = 4.4961458
y[1] (numeric) = 4.4961458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.474
y[1] (analytic) = 4.4981352
y[1] (numeric) = 4.4981352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.475
y[1] (analytic) = 4.500125
y[1] (numeric) = 4.500125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.476
y[1] (analytic) = 4.5021152
y[1] (numeric) = 4.5021152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.477
y[1] (analytic) = 4.5041058
y[1] (numeric) = 4.5041058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.478
y[1] (analytic) = 4.5060968
y[1] (numeric) = 4.5060968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.479
y[1] (analytic) = 4.5080882
y[1] (numeric) = 4.5080882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.48
y[1] (analytic) = 4.51008
y[1] (numeric) = 4.51008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.481
y[1] (analytic) = 4.5120722
y[1] (numeric) = 4.5120722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.482
y[1] (analytic) = 4.5140648
y[1] (numeric) = 4.5140648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.483
y[1] (analytic) = 4.5160578
y[1] (numeric) = 4.5160578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.484
y[1] (analytic) = 4.5180512
y[1] (numeric) = 4.5180512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.485
y[1] (analytic) = 4.520045
y[1] (numeric) = 4.520045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.486
y[1] (analytic) = 4.5220392
y[1] (numeric) = 4.5220392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.487
y[1] (analytic) = 4.5240338
y[1] (numeric) = 4.5240338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.488
y[1] (analytic) = 4.5260288
y[1] (numeric) = 4.5260288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.489
y[1] (analytic) = 4.5280242
y[1] (numeric) = 4.5280242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.49
y[1] (analytic) = 4.53002
y[1] (numeric) = 4.53002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.491
y[1] (analytic) = 4.5320162
y[1] (numeric) = 4.5320162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.492
y[1] (analytic) = 4.5340128
y[1] (numeric) = 4.5340128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.493
y[1] (analytic) = 4.5360098
y[1] (numeric) = 4.5360098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.494
y[1] (analytic) = 4.5380072
y[1] (numeric) = 4.5380072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.495
y[1] (analytic) = 4.540005
y[1] (numeric) = 4.540005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.496
y[1] (analytic) = 4.5420032
y[1] (numeric) = 4.5420032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.497
y[1] (analytic) = 4.5440018
y[1] (numeric) = 4.5440018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.498
y[1] (analytic) = 4.5460008
y[1] (numeric) = 4.5460008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.499
y[1] (analytic) = 4.5480002
y[1] (numeric) = 4.5480002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5
y[1] (analytic) = 4.55
y[1] (numeric) = 4.55
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.501
y[1] (analytic) = 4.5520002
y[1] (numeric) = 4.5520002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.502
y[1] (analytic) = 4.5540008
y[1] (numeric) = 4.5540008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.503
y[1] (analytic) = 4.5560018
y[1] (numeric) = 4.5560018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.504
y[1] (analytic) = 4.5580032
y[1] (numeric) = 4.5580032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.505
y[1] (analytic) = 4.560005
y[1] (numeric) = 4.560005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=198.3MB, alloc=3.9MB, time=32.74
x[1] = 3.506
y[1] (analytic) = 4.5620072
y[1] (numeric) = 4.5620072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.507
y[1] (analytic) = 4.5640098
y[1] (numeric) = 4.5640098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.508
y[1] (analytic) = 4.5660128
y[1] (numeric) = 4.5660128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.509
y[1] (analytic) = 4.5680162
y[1] (numeric) = 4.5680162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.51
y[1] (analytic) = 4.57002
y[1] (numeric) = 4.57002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.511
y[1] (analytic) = 4.5720242
y[1] (numeric) = 4.5720242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.512
y[1] (analytic) = 4.5740288
y[1] (numeric) = 4.5740288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.513
y[1] (analytic) = 4.5760338
y[1] (numeric) = 4.5760338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.514
y[1] (analytic) = 4.5780392
y[1] (numeric) = 4.5780392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.515
y[1] (analytic) = 4.580045
y[1] (numeric) = 4.580045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.516
y[1] (analytic) = 4.5820512
y[1] (numeric) = 4.5820512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.517
y[1] (analytic) = 4.5840578
y[1] (numeric) = 4.5840578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.518
y[1] (analytic) = 4.5860648
y[1] (numeric) = 4.5860648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.519
y[1] (analytic) = 4.5880722
y[1] (numeric) = 4.5880722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.52
y[1] (analytic) = 4.59008
y[1] (numeric) = 4.59008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.521
y[1] (analytic) = 4.5920882
y[1] (numeric) = 4.5920882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.522
y[1] (analytic) = 4.5940968
y[1] (numeric) = 4.5940968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.523
y[1] (analytic) = 4.5961058
y[1] (numeric) = 4.5961058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.524
y[1] (analytic) = 4.5981152
y[1] (numeric) = 4.5981152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.525
y[1] (analytic) = 4.600125
y[1] (numeric) = 4.600125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.526
y[1] (analytic) = 4.6021352
y[1] (numeric) = 4.6021352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.527
y[1] (analytic) = 4.6041458
y[1] (numeric) = 4.6041458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.528
y[1] (analytic) = 4.6061568
y[1] (numeric) = 4.6061568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.529
y[1] (analytic) = 4.6081682
y[1] (numeric) = 4.6081682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.53
y[1] (analytic) = 4.61018
y[1] (numeric) = 4.61018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.531
y[1] (analytic) = 4.6121922
y[1] (numeric) = 4.6121922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.532
y[1] (analytic) = 4.6142048
y[1] (numeric) = 4.6142048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.533
y[1] (analytic) = 4.6162178
y[1] (numeric) = 4.6162178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.534
y[1] (analytic) = 4.6182312
y[1] (numeric) = 4.6182312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.535
y[1] (analytic) = 4.620245
y[1] (numeric) = 4.620245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.536
y[1] (analytic) = 4.6222592
y[1] (numeric) = 4.6222592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.537
y[1] (analytic) = 4.6242738
y[1] (numeric) = 4.6242738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.538
y[1] (analytic) = 4.6262888
y[1] (numeric) = 4.6262888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.539
y[1] (analytic) = 4.6283042
y[1] (numeric) = 4.6283042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.54
y[1] (analytic) = 4.63032
y[1] (numeric) = 4.63032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.541
y[1] (analytic) = 4.6323362
y[1] (numeric) = 4.6323362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.542
y[1] (analytic) = 4.6343528
y[1] (numeric) = 4.6343528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.543
y[1] (analytic) = 4.6363698
y[1] (numeric) = 4.6363698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.544
y[1] (analytic) = 4.6383872
y[1] (numeric) = 4.6383872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.545
y[1] (analytic) = 4.640405
y[1] (numeric) = 4.640405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.546
y[1] (analytic) = 4.6424232
y[1] (numeric) = 4.6424232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.547
y[1] (analytic) = 4.6444418
y[1] (numeric) = 4.6444418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.548
y[1] (analytic) = 4.6464608
y[1] (numeric) = 4.6464608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.549
y[1] (analytic) = 4.6484802
y[1] (numeric) = 4.6484802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.55
y[1] (analytic) = 4.6505
y[1] (numeric) = 4.6505
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.551
y[1] (analytic) = 4.6525202
y[1] (numeric) = 4.6525202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.552
y[1] (analytic) = 4.6545408
y[1] (numeric) = 4.6545408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.553
y[1] (analytic) = 4.6565618
y[1] (numeric) = 4.6565618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.554
y[1] (analytic) = 4.6585832
y[1] (numeric) = 4.6585832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.555
y[1] (analytic) = 4.660605
y[1] (numeric) = 4.660605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.556
y[1] (analytic) = 4.6626272
y[1] (numeric) = 4.6626272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.557
y[1] (analytic) = 4.6646498
y[1] (numeric) = 4.6646498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.558
y[1] (analytic) = 4.6666728
y[1] (numeric) = 4.6666728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.559
y[1] (analytic) = 4.6686962
y[1] (numeric) = 4.6686962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.56
y[1] (analytic) = 4.67072
y[1] (numeric) = 4.67072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.561
y[1] (analytic) = 4.6727442
y[1] (numeric) = 4.6727442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.562
y[1] (analytic) = 4.6747688
y[1] (numeric) = 4.6747688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.563
y[1] (analytic) = 4.6767938
y[1] (numeric) = 4.6767938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.564
y[1] (analytic) = 4.6788192
y[1] (numeric) = 4.6788192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.565
y[1] (analytic) = 4.680845
y[1] (numeric) = 4.680845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.566
y[1] (analytic) = 4.6828712
y[1] (numeric) = 4.6828712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.567
y[1] (analytic) = 4.6848978
y[1] (numeric) = 4.6848978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.568
y[1] (analytic) = 4.6869248
y[1] (numeric) = 4.6869248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.569
y[1] (analytic) = 4.6889522
y[1] (numeric) = 4.6889522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.57
y[1] (analytic) = 4.69098
y[1] (numeric) = 4.69098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.571
y[1] (analytic) = 4.6930082
y[1] (numeric) = 4.6930082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.572
y[1] (analytic) = 4.6950368
y[1] (numeric) = 4.6950368
absolute error = 0
relative error = 0 %
memory used=202.1MB, alloc=3.9MB, time=33.41
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.573
y[1] (analytic) = 4.6970658
y[1] (numeric) = 4.6970658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.574
y[1] (analytic) = 4.6990952
y[1] (numeric) = 4.6990952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.575
y[1] (analytic) = 4.701125
y[1] (numeric) = 4.701125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.576
y[1] (analytic) = 4.7031552
y[1] (numeric) = 4.7031552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.577
y[1] (analytic) = 4.7051858
y[1] (numeric) = 4.7051858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.578
y[1] (analytic) = 4.7072168
y[1] (numeric) = 4.7072168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.579
y[1] (analytic) = 4.7092482
y[1] (numeric) = 4.7092482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.58
y[1] (analytic) = 4.71128
y[1] (numeric) = 4.71128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.581
y[1] (analytic) = 4.7133122
y[1] (numeric) = 4.7133122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.582
y[1] (analytic) = 4.7153448
y[1] (numeric) = 4.7153448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.583
y[1] (analytic) = 4.7173778
y[1] (numeric) = 4.7173778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.584
y[1] (analytic) = 4.7194112
y[1] (numeric) = 4.7194112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.585
y[1] (analytic) = 4.721445
y[1] (numeric) = 4.721445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.586
y[1] (analytic) = 4.7234792
y[1] (numeric) = 4.7234792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.587
y[1] (analytic) = 4.7255138
y[1] (numeric) = 4.7255138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.588
y[1] (analytic) = 4.7275488
y[1] (numeric) = 4.7275488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.589
y[1] (analytic) = 4.7295842
y[1] (numeric) = 4.7295842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.59
y[1] (analytic) = 4.73162
y[1] (numeric) = 4.73162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.591
y[1] (analytic) = 4.7336562
y[1] (numeric) = 4.7336562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.592
y[1] (analytic) = 4.7356928
y[1] (numeric) = 4.7356928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.593
y[1] (analytic) = 4.7377298
y[1] (numeric) = 4.7377298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.594
y[1] (analytic) = 4.7397672
y[1] (numeric) = 4.7397672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.595
y[1] (analytic) = 4.741805
y[1] (numeric) = 4.741805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.596
y[1] (analytic) = 4.7438432
y[1] (numeric) = 4.7438432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.597
y[1] (analytic) = 4.7458818
y[1] (numeric) = 4.7458818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.598
y[1] (analytic) = 4.7479208
y[1] (numeric) = 4.7479208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.599
y[1] (analytic) = 4.7499602
y[1] (numeric) = 4.7499602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6
y[1] (analytic) = 4.752
y[1] (numeric) = 4.752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.601
y[1] (analytic) = 4.7540402
y[1] (numeric) = 4.7540402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.602
y[1] (analytic) = 4.7560808
y[1] (numeric) = 4.7560808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.603
y[1] (analytic) = 4.7581218
y[1] (numeric) = 4.7581218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.604
y[1] (analytic) = 4.7601632
y[1] (numeric) = 4.7601632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.605
y[1] (analytic) = 4.762205
y[1] (numeric) = 4.762205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.606
y[1] (analytic) = 4.7642472
y[1] (numeric) = 4.7642472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.607
y[1] (analytic) = 4.7662898
y[1] (numeric) = 4.7662898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.608
y[1] (analytic) = 4.7683328
y[1] (numeric) = 4.7683328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.609
y[1] (analytic) = 4.7703762
y[1] (numeric) = 4.7703762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.61
y[1] (analytic) = 4.77242
y[1] (numeric) = 4.77242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.611
y[1] (analytic) = 4.7744642
y[1] (numeric) = 4.7744642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.612
y[1] (analytic) = 4.7765088
y[1] (numeric) = 4.7765088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.613
y[1] (analytic) = 4.7785538
y[1] (numeric) = 4.7785538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.614
y[1] (analytic) = 4.7805992
y[1] (numeric) = 4.7805992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.615
y[1] (analytic) = 4.782645
y[1] (numeric) = 4.782645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.616
y[1] (analytic) = 4.7846912
y[1] (numeric) = 4.7846912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.617
y[1] (analytic) = 4.7867378
y[1] (numeric) = 4.7867378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.618
y[1] (analytic) = 4.7887848
y[1] (numeric) = 4.7887848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.619
y[1] (analytic) = 4.7908322
y[1] (numeric) = 4.7908322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.62
y[1] (analytic) = 4.79288
y[1] (numeric) = 4.79288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.621
y[1] (analytic) = 4.7949282
y[1] (numeric) = 4.7949282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.622
y[1] (analytic) = 4.7969768
y[1] (numeric) = 4.7969768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.623
y[1] (analytic) = 4.7990258
y[1] (numeric) = 4.7990258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.624
y[1] (analytic) = 4.8010752
y[1] (numeric) = 4.8010752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.625
y[1] (analytic) = 4.803125
y[1] (numeric) = 4.803125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.626
y[1] (analytic) = 4.8051752
y[1] (numeric) = 4.8051752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.627
y[1] (analytic) = 4.8072258
y[1] (numeric) = 4.8072258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.628
y[1] (analytic) = 4.8092768
y[1] (numeric) = 4.8092768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.629
y[1] (analytic) = 4.8113282
y[1] (numeric) = 4.8113282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.63
y[1] (analytic) = 4.81338
y[1] (numeric) = 4.81338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.631
y[1] (analytic) = 4.8154322
y[1] (numeric) = 4.8154322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.632
y[1] (analytic) = 4.8174848
y[1] (numeric) = 4.8174848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.633
y[1] (analytic) = 4.8195378
y[1] (numeric) = 4.8195378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.634
y[1] (analytic) = 4.8215912
y[1] (numeric) = 4.8215912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.635
y[1] (analytic) = 4.823645
y[1] (numeric) = 4.823645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.636
y[1] (analytic) = 4.8256992
y[1] (numeric) = 4.8256992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.637
y[1] (analytic) = 4.8277538
y[1] (numeric) = 4.8277538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.638
y[1] (analytic) = 4.8298088
y[1] (numeric) = 4.8298088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=206.0MB, alloc=3.9MB, time=34.04
NO POLE
x[1] = 3.639
y[1] (analytic) = 4.8318642
y[1] (numeric) = 4.8318642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.64
y[1] (analytic) = 4.83392
y[1] (numeric) = 4.83392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.641
y[1] (analytic) = 4.8359762
y[1] (numeric) = 4.8359762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.642
y[1] (analytic) = 4.8380328
y[1] (numeric) = 4.8380328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.643
y[1] (analytic) = 4.8400898
y[1] (numeric) = 4.8400898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.644
y[1] (analytic) = 4.8421472
y[1] (numeric) = 4.8421472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.645
y[1] (analytic) = 4.844205
y[1] (numeric) = 4.844205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.646
y[1] (analytic) = 4.8462632
y[1] (numeric) = 4.8462632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.647
y[1] (analytic) = 4.8483218
y[1] (numeric) = 4.8483218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.648
y[1] (analytic) = 4.8503808
y[1] (numeric) = 4.8503808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.649
y[1] (analytic) = 4.8524402
y[1] (numeric) = 4.8524402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.65
y[1] (analytic) = 4.8545
y[1] (numeric) = 4.8545
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.651
y[1] (analytic) = 4.8565602
y[1] (numeric) = 4.8565602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.652
y[1] (analytic) = 4.8586208
y[1] (numeric) = 4.8586208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.653
y[1] (analytic) = 4.8606818
y[1] (numeric) = 4.8606818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.654
y[1] (analytic) = 4.8627432
y[1] (numeric) = 4.8627432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.655
y[1] (analytic) = 4.864805
y[1] (numeric) = 4.864805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.656
y[1] (analytic) = 4.8668672
y[1] (numeric) = 4.8668672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.657
y[1] (analytic) = 4.8689298
y[1] (numeric) = 4.8689298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.658
y[1] (analytic) = 4.8709928
y[1] (numeric) = 4.8709928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.659
y[1] (analytic) = 4.8730562
y[1] (numeric) = 4.8730562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.66
y[1] (analytic) = 4.87512
y[1] (numeric) = 4.87512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.661
y[1] (analytic) = 4.8771842
y[1] (numeric) = 4.8771842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.662
y[1] (analytic) = 4.8792488
y[1] (numeric) = 4.8792488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.663
y[1] (analytic) = 4.8813138
y[1] (numeric) = 4.8813138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.664
y[1] (analytic) = 4.8833792
y[1] (numeric) = 4.8833792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.665
y[1] (analytic) = 4.885445
y[1] (numeric) = 4.885445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.666
y[1] (analytic) = 4.8875112
y[1] (numeric) = 4.8875112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.667
y[1] (analytic) = 4.8895778
y[1] (numeric) = 4.8895778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.668
y[1] (analytic) = 4.8916448
y[1] (numeric) = 4.8916448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.669
y[1] (analytic) = 4.8937122
y[1] (numeric) = 4.8937122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.67
y[1] (analytic) = 4.89578
y[1] (numeric) = 4.89578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.671
y[1] (analytic) = 4.8978482
y[1] (numeric) = 4.8978482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.672
y[1] (analytic) = 4.8999168
y[1] (numeric) = 4.8999168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.673
y[1] (analytic) = 4.9019858
y[1] (numeric) = 4.9019858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.674
y[1] (analytic) = 4.9040552
y[1] (numeric) = 4.9040552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.675
y[1] (analytic) = 4.906125
y[1] (numeric) = 4.906125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.676
y[1] (analytic) = 4.9081952
y[1] (numeric) = 4.9081952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.677
y[1] (analytic) = 4.9102658
y[1] (numeric) = 4.9102658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.678
y[1] (analytic) = 4.9123368
y[1] (numeric) = 4.9123368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.679
y[1] (analytic) = 4.9144082
y[1] (numeric) = 4.9144082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.68
y[1] (analytic) = 4.91648
y[1] (numeric) = 4.91648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.681
y[1] (analytic) = 4.9185522
y[1] (numeric) = 4.9185522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.682
y[1] (analytic) = 4.9206248
y[1] (numeric) = 4.9206248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.683
y[1] (analytic) = 4.9226978
y[1] (numeric) = 4.9226978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.684
y[1] (analytic) = 4.9247712
y[1] (numeric) = 4.9247712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.685
y[1] (analytic) = 4.926845
y[1] (numeric) = 4.926845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.686
y[1] (analytic) = 4.9289192
y[1] (numeric) = 4.9289192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.687
y[1] (analytic) = 4.9309938
y[1] (numeric) = 4.9309938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.688
y[1] (analytic) = 4.9330688
y[1] (numeric) = 4.9330688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.689
y[1] (analytic) = 4.9351442
y[1] (numeric) = 4.9351442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.69
y[1] (analytic) = 4.93722
y[1] (numeric) = 4.93722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.691
y[1] (analytic) = 4.9392962
y[1] (numeric) = 4.9392962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.692
y[1] (analytic) = 4.9413728
y[1] (numeric) = 4.9413728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.693
y[1] (analytic) = 4.9434498
y[1] (numeric) = 4.9434498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.694
y[1] (analytic) = 4.9455272
y[1] (numeric) = 4.9455272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.695
y[1] (analytic) = 4.947605
y[1] (numeric) = 4.947605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.696
y[1] (analytic) = 4.9496832
y[1] (numeric) = 4.9496832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.697
y[1] (analytic) = 4.9517618
y[1] (numeric) = 4.9517618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.698
y[1] (analytic) = 4.9538408
y[1] (numeric) = 4.9538408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.699
y[1] (analytic) = 4.9559202
y[1] (numeric) = 4.9559202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7
y[1] (analytic) = 4.958
y[1] (numeric) = 4.958
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.701
y[1] (analytic) = 4.9600802
y[1] (numeric) = 4.9600802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.702
y[1] (analytic) = 4.9621608
y[1] (numeric) = 4.9621608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.703
y[1] (analytic) = 4.9642418
y[1] (numeric) = 4.9642418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.704
y[1] (analytic) = 4.9663232
y[1] (numeric) = 4.9663232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=3.9MB, time=34.67
NO POLE
x[1] = 3.705
y[1] (analytic) = 4.968405
y[1] (numeric) = 4.968405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.706
y[1] (analytic) = 4.9704872
y[1] (numeric) = 4.9704872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.707
y[1] (analytic) = 4.9725698
y[1] (numeric) = 4.9725698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.708
y[1] (analytic) = 4.9746528
y[1] (numeric) = 4.9746528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.709
y[1] (analytic) = 4.9767362
y[1] (numeric) = 4.9767362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.71
y[1] (analytic) = 4.97882
y[1] (numeric) = 4.97882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.711
y[1] (analytic) = 4.9809042
y[1] (numeric) = 4.9809042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.712
y[1] (analytic) = 4.9829888
y[1] (numeric) = 4.9829888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.713
y[1] (analytic) = 4.9850738
y[1] (numeric) = 4.9850738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.714
y[1] (analytic) = 4.9871592
y[1] (numeric) = 4.9871592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.715
y[1] (analytic) = 4.989245
y[1] (numeric) = 4.989245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.716
y[1] (analytic) = 4.9913312
y[1] (numeric) = 4.9913312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.717
y[1] (analytic) = 4.9934178
y[1] (numeric) = 4.9934178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.718
y[1] (analytic) = 4.9955048
y[1] (numeric) = 4.9955048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.719
y[1] (analytic) = 4.9975922
y[1] (numeric) = 4.9975922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.72
y[1] (analytic) = 4.99968
y[1] (numeric) = 4.99968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.721
y[1] (analytic) = 5.0017682
y[1] (numeric) = 5.0017682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.722
y[1] (analytic) = 5.0038568
y[1] (numeric) = 5.0038568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.723
y[1] (analytic) = 5.0059458
y[1] (numeric) = 5.0059458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.724
y[1] (analytic) = 5.0080352
y[1] (numeric) = 5.0080352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.725
y[1] (analytic) = 5.010125
y[1] (numeric) = 5.010125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.726
y[1] (analytic) = 5.0122152
y[1] (numeric) = 5.0122152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.727
y[1] (analytic) = 5.0143058
y[1] (numeric) = 5.0143058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.728
y[1] (analytic) = 5.0163968
y[1] (numeric) = 5.0163968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.729
y[1] (analytic) = 5.0184882
y[1] (numeric) = 5.0184882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.73
y[1] (analytic) = 5.02058
y[1] (numeric) = 5.02058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.731
y[1] (analytic) = 5.0226722
y[1] (numeric) = 5.0226722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.732
y[1] (analytic) = 5.0247648
y[1] (numeric) = 5.0247648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.733
y[1] (analytic) = 5.0268578
y[1] (numeric) = 5.0268578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.734
y[1] (analytic) = 5.0289512
y[1] (numeric) = 5.0289512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.735
y[1] (analytic) = 5.031045
y[1] (numeric) = 5.031045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.736
y[1] (analytic) = 5.0331392
y[1] (numeric) = 5.0331392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.737
y[1] (analytic) = 5.0352338
y[1] (numeric) = 5.0352338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.738
y[1] (analytic) = 5.0373288
y[1] (numeric) = 5.0373288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.739
y[1] (analytic) = 5.0394242
y[1] (numeric) = 5.0394242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.74
y[1] (analytic) = 5.04152
y[1] (numeric) = 5.04152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.741
y[1] (analytic) = 5.0436162
y[1] (numeric) = 5.0436162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.742
y[1] (analytic) = 5.0457128
y[1] (numeric) = 5.0457128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.743
y[1] (analytic) = 5.0478098
y[1] (numeric) = 5.0478098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.744
y[1] (analytic) = 5.0499072
y[1] (numeric) = 5.0499072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.745
y[1] (analytic) = 5.052005
y[1] (numeric) = 5.052005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.746
y[1] (analytic) = 5.0541032
y[1] (numeric) = 5.0541032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.747
y[1] (analytic) = 5.0562018
y[1] (numeric) = 5.0562018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.748
y[1] (analytic) = 5.0583008
y[1] (numeric) = 5.0583008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.749
y[1] (analytic) = 5.0604002
y[1] (numeric) = 5.0604002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.75
y[1] (analytic) = 5.0625
y[1] (numeric) = 5.0625
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.751
y[1] (analytic) = 5.0646002
y[1] (numeric) = 5.0646002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.752
y[1] (analytic) = 5.0667008
y[1] (numeric) = 5.0667008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.753
y[1] (analytic) = 5.0688018
y[1] (numeric) = 5.0688018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.754
y[1] (analytic) = 5.0709032
y[1] (numeric) = 5.0709032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.755
y[1] (analytic) = 5.073005
y[1] (numeric) = 5.073005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.756
y[1] (analytic) = 5.0751072
y[1] (numeric) = 5.0751072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.757
y[1] (analytic) = 5.0772098
y[1] (numeric) = 5.0772098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.758
y[1] (analytic) = 5.0793128
y[1] (numeric) = 5.0793128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.759
y[1] (analytic) = 5.0814162
y[1] (numeric) = 5.0814162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.76
y[1] (analytic) = 5.08352
y[1] (numeric) = 5.08352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.761
y[1] (analytic) = 5.0856242
y[1] (numeric) = 5.0856242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.762
y[1] (analytic) = 5.0877288
y[1] (numeric) = 5.0877288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.763
y[1] (analytic) = 5.0898338
y[1] (numeric) = 5.0898338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.764
y[1] (analytic) = 5.0919392
y[1] (numeric) = 5.0919392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.765
y[1] (analytic) = 5.094045
y[1] (numeric) = 5.094045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.766
y[1] (analytic) = 5.0961512
y[1] (numeric) = 5.0961512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.767
y[1] (analytic) = 5.0982578
y[1] (numeric) = 5.0982578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.768
y[1] (analytic) = 5.1003648
y[1] (numeric) = 5.1003648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.769
y[1] (analytic) = 5.1024722
y[1] (numeric) = 5.1024722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.77
y[1] (analytic) = 5.10458
y[1] (numeric) = 5.10458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=213.6MB, alloc=3.9MB, time=35.31
NO POLE
x[1] = 3.771
y[1] (analytic) = 5.1066882
y[1] (numeric) = 5.1066882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.772
y[1] (analytic) = 5.1087968
y[1] (numeric) = 5.1087968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.773
y[1] (analytic) = 5.1109058
y[1] (numeric) = 5.1109058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.774
y[1] (analytic) = 5.1130152
y[1] (numeric) = 5.1130152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.775
y[1] (analytic) = 5.115125
y[1] (numeric) = 5.115125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.776
y[1] (analytic) = 5.1172352
y[1] (numeric) = 5.1172352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.777
y[1] (analytic) = 5.1193458
y[1] (numeric) = 5.1193458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.778
y[1] (analytic) = 5.1214568
y[1] (numeric) = 5.1214568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.779
y[1] (analytic) = 5.1235682
y[1] (numeric) = 5.1235682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.78
y[1] (analytic) = 5.12568
y[1] (numeric) = 5.12568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.781
y[1] (analytic) = 5.1277922
y[1] (numeric) = 5.1277922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.782
y[1] (analytic) = 5.1299048
y[1] (numeric) = 5.1299048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.783
y[1] (analytic) = 5.1320178
y[1] (numeric) = 5.1320178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.784
y[1] (analytic) = 5.1341312
y[1] (numeric) = 5.1341312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.785
y[1] (analytic) = 5.136245
y[1] (numeric) = 5.136245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.786
y[1] (analytic) = 5.1383592
y[1] (numeric) = 5.1383592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.787
y[1] (analytic) = 5.1404738
y[1] (numeric) = 5.1404738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.788
y[1] (analytic) = 5.1425888
y[1] (numeric) = 5.1425888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.789
y[1] (analytic) = 5.1447042
y[1] (numeric) = 5.1447042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.79
y[1] (analytic) = 5.14682
y[1] (numeric) = 5.14682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.791
y[1] (analytic) = 5.1489362
y[1] (numeric) = 5.1489362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.792
y[1] (analytic) = 5.1510528
y[1] (numeric) = 5.1510528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.793
y[1] (analytic) = 5.1531698
y[1] (numeric) = 5.1531698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.794
y[1] (analytic) = 5.1552872
y[1] (numeric) = 5.1552872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.795
y[1] (analytic) = 5.157405
y[1] (numeric) = 5.157405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.796
y[1] (analytic) = 5.1595232
y[1] (numeric) = 5.1595232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.797
y[1] (analytic) = 5.1616418
y[1] (numeric) = 5.1616418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.798
y[1] (analytic) = 5.1637608
y[1] (numeric) = 5.1637608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.799
y[1] (analytic) = 5.1658802
y[1] (numeric) = 5.1658802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8
y[1] (analytic) = 5.168
y[1] (numeric) = 5.168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.801
y[1] (analytic) = 5.1701202
y[1] (numeric) = 5.1701202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.802
y[1] (analytic) = 5.1722408
y[1] (numeric) = 5.1722408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.803
y[1] (analytic) = 5.1743618
y[1] (numeric) = 5.1743618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.804
y[1] (analytic) = 5.1764832
y[1] (numeric) = 5.1764832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.805
y[1] (analytic) = 5.178605
y[1] (numeric) = 5.178605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.806
y[1] (analytic) = 5.1807272
y[1] (numeric) = 5.1807272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.807
y[1] (analytic) = 5.1828498
y[1] (numeric) = 5.1828498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.808
y[1] (analytic) = 5.1849728
y[1] (numeric) = 5.1849728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.809
y[1] (analytic) = 5.1870962
y[1] (numeric) = 5.1870962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.81
y[1] (analytic) = 5.18922
y[1] (numeric) = 5.18922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.811
y[1] (analytic) = 5.1913442
y[1] (numeric) = 5.1913442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.812
y[1] (analytic) = 5.1934688
y[1] (numeric) = 5.1934688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.813
y[1] (analytic) = 5.1955938
y[1] (numeric) = 5.1955938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.814
y[1] (analytic) = 5.1977192
y[1] (numeric) = 5.1977192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.815
y[1] (analytic) = 5.199845
y[1] (numeric) = 5.199845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.816
y[1] (analytic) = 5.2019712
y[1] (numeric) = 5.2019712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.817
y[1] (analytic) = 5.2040978
y[1] (numeric) = 5.2040978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.818
y[1] (analytic) = 5.2062248
y[1] (numeric) = 5.2062248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.819
y[1] (analytic) = 5.2083522
y[1] (numeric) = 5.2083522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.82
y[1] (analytic) = 5.21048
y[1] (numeric) = 5.21048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.821
y[1] (analytic) = 5.2126082
y[1] (numeric) = 5.2126082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.822
y[1] (analytic) = 5.2147368
y[1] (numeric) = 5.2147368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.823
y[1] (analytic) = 5.2168658
y[1] (numeric) = 5.2168658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.824
y[1] (analytic) = 5.2189952
y[1] (numeric) = 5.2189952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.825
y[1] (analytic) = 5.221125
y[1] (numeric) = 5.221125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.826
y[1] (analytic) = 5.2232552
y[1] (numeric) = 5.2232552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.827
y[1] (analytic) = 5.2253858
y[1] (numeric) = 5.2253858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.828
y[1] (analytic) = 5.2275168
y[1] (numeric) = 5.2275168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.829
y[1] (analytic) = 5.2296482
y[1] (numeric) = 5.2296482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.83
y[1] (analytic) = 5.23178
y[1] (numeric) = 5.23178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.831
y[1] (analytic) = 5.2339122
y[1] (numeric) = 5.2339122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.832
y[1] (analytic) = 5.2360448
y[1] (numeric) = 5.2360448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.833
y[1] (analytic) = 5.2381778
y[1] (numeric) = 5.2381778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.834
y[1] (analytic) = 5.2403112
y[1] (numeric) = 5.2403112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.835
y[1] (analytic) = 5.242445
y[1] (numeric) = 5.242445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.836
y[1] (analytic) = 5.2445792
y[1] (numeric) = 5.2445792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=217.4MB, alloc=3.9MB, time=35.95
NO POLE
x[1] = 3.837
y[1] (analytic) = 5.2467138
y[1] (numeric) = 5.2467138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.838
y[1] (analytic) = 5.2488488
y[1] (numeric) = 5.2488488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.839
y[1] (analytic) = 5.2509842
y[1] (numeric) = 5.2509842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.84
y[1] (analytic) = 5.25312
y[1] (numeric) = 5.25312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.841
y[1] (analytic) = 5.2552562
y[1] (numeric) = 5.2552562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.842
y[1] (analytic) = 5.2573928
y[1] (numeric) = 5.2573928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.843
y[1] (analytic) = 5.2595298
y[1] (numeric) = 5.2595298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.844
y[1] (analytic) = 5.2616672
y[1] (numeric) = 5.2616672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.845
y[1] (analytic) = 5.263805
y[1] (numeric) = 5.263805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.846
y[1] (analytic) = 5.2659432
y[1] (numeric) = 5.2659432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.847
y[1] (analytic) = 5.2680818
y[1] (numeric) = 5.2680818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.848
y[1] (analytic) = 5.2702208
y[1] (numeric) = 5.2702208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.849
y[1] (analytic) = 5.2723602
y[1] (numeric) = 5.2723602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.85
y[1] (analytic) = 5.2745
y[1] (numeric) = 5.2745
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.851
y[1] (analytic) = 5.2766402
y[1] (numeric) = 5.2766402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.852
y[1] (analytic) = 5.2787808
y[1] (numeric) = 5.2787808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.853
y[1] (analytic) = 5.2809218
y[1] (numeric) = 5.2809218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.854
y[1] (analytic) = 5.2830632
y[1] (numeric) = 5.2830632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.855
y[1] (analytic) = 5.285205
y[1] (numeric) = 5.285205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.856
y[1] (analytic) = 5.2873472
y[1] (numeric) = 5.2873472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.857
y[1] (analytic) = 5.2894898
y[1] (numeric) = 5.2894898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.858
y[1] (analytic) = 5.2916328
y[1] (numeric) = 5.2916328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.859
y[1] (analytic) = 5.2937762
y[1] (numeric) = 5.2937762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.86
y[1] (analytic) = 5.29592
y[1] (numeric) = 5.29592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.861
y[1] (analytic) = 5.2980642
y[1] (numeric) = 5.2980642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.862
y[1] (analytic) = 5.3002088
y[1] (numeric) = 5.3002088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.863
y[1] (analytic) = 5.3023538
y[1] (numeric) = 5.3023538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.864
y[1] (analytic) = 5.3044992
y[1] (numeric) = 5.3044992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.865
y[1] (analytic) = 5.306645
y[1] (numeric) = 5.306645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.866
y[1] (analytic) = 5.3087912
y[1] (numeric) = 5.3087912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.867
y[1] (analytic) = 5.3109378
y[1] (numeric) = 5.3109378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.868
y[1] (analytic) = 5.3130848
y[1] (numeric) = 5.3130848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.869
y[1] (analytic) = 5.3152322
y[1] (numeric) = 5.3152322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.87
y[1] (analytic) = 5.31738
y[1] (numeric) = 5.31738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.871
y[1] (analytic) = 5.3195282
y[1] (numeric) = 5.3195282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.872
y[1] (analytic) = 5.3216768
y[1] (numeric) = 5.3216768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.873
y[1] (analytic) = 5.3238258
y[1] (numeric) = 5.3238258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.874
y[1] (analytic) = 5.3259752
y[1] (numeric) = 5.3259752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.875
y[1] (analytic) = 5.328125
y[1] (numeric) = 5.328125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.876
y[1] (analytic) = 5.3302752
y[1] (numeric) = 5.3302752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.877
y[1] (analytic) = 5.3324258
y[1] (numeric) = 5.3324258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.878
y[1] (analytic) = 5.3345768
y[1] (numeric) = 5.3345768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.879
y[1] (analytic) = 5.3367282
y[1] (numeric) = 5.3367282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.88
y[1] (analytic) = 5.33888
y[1] (numeric) = 5.33888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.881
y[1] (analytic) = 5.3410322
y[1] (numeric) = 5.3410322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.882
y[1] (analytic) = 5.3431848
y[1] (numeric) = 5.3431848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.883
y[1] (analytic) = 5.3453378
y[1] (numeric) = 5.3453378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.884
y[1] (analytic) = 5.3474912
y[1] (numeric) = 5.3474912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.885
y[1] (analytic) = 5.349645
y[1] (numeric) = 5.349645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.886
y[1] (analytic) = 5.3517992
y[1] (numeric) = 5.3517992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.887
y[1] (analytic) = 5.3539538
y[1] (numeric) = 5.3539538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.888
y[1] (analytic) = 5.3561088
y[1] (numeric) = 5.3561088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.889
y[1] (analytic) = 5.3582642
y[1] (numeric) = 5.3582642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.89
y[1] (analytic) = 5.36042
y[1] (numeric) = 5.36042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.891
y[1] (analytic) = 5.3625762
y[1] (numeric) = 5.3625762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.892
y[1] (analytic) = 5.3647328
y[1] (numeric) = 5.3647328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.893
y[1] (analytic) = 5.3668898
y[1] (numeric) = 5.3668898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.894
y[1] (analytic) = 5.3690472
y[1] (numeric) = 5.3690472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.895
y[1] (analytic) = 5.371205
y[1] (numeric) = 5.371205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.896
y[1] (analytic) = 5.3733632
y[1] (numeric) = 5.3733632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.897
y[1] (analytic) = 5.3755218
y[1] (numeric) = 5.3755218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.898
y[1] (analytic) = 5.3776808
y[1] (numeric) = 5.3776808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.899
y[1] (analytic) = 5.3798402
y[1] (numeric) = 5.3798402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9
y[1] (analytic) = 5.382
y[1] (numeric) = 5.382
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.901
y[1] (analytic) = 5.3841602
y[1] (numeric) = 5.3841602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.902
y[1] (analytic) = 5.3863208
y[1] (numeric) = 5.3863208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=221.2MB, alloc=3.9MB, time=36.61
NO POLE
x[1] = 3.903
y[1] (analytic) = 5.3884818
y[1] (numeric) = 5.3884818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.904
y[1] (analytic) = 5.3906432
y[1] (numeric) = 5.3906432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.905
y[1] (analytic) = 5.392805
y[1] (numeric) = 5.392805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.906
y[1] (analytic) = 5.3949672
y[1] (numeric) = 5.3949672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.907
y[1] (analytic) = 5.3971298
y[1] (numeric) = 5.3971298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.908
y[1] (analytic) = 5.3992928
y[1] (numeric) = 5.3992928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.909
y[1] (analytic) = 5.4014562
y[1] (numeric) = 5.4014562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.91
y[1] (analytic) = 5.40362
y[1] (numeric) = 5.40362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.911
y[1] (analytic) = 5.4057842
y[1] (numeric) = 5.4057842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.912
y[1] (analytic) = 5.4079488
y[1] (numeric) = 5.4079488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.913
y[1] (analytic) = 5.4101138
y[1] (numeric) = 5.4101138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.914
y[1] (analytic) = 5.4122792
y[1] (numeric) = 5.4122792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.915
y[1] (analytic) = 5.414445
y[1] (numeric) = 5.414445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.916
y[1] (analytic) = 5.4166112
y[1] (numeric) = 5.4166112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.917
y[1] (analytic) = 5.4187778
y[1] (numeric) = 5.4187778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.918
y[1] (analytic) = 5.4209448
y[1] (numeric) = 5.4209448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.919
y[1] (analytic) = 5.4231122
y[1] (numeric) = 5.4231122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.92
y[1] (analytic) = 5.42528
y[1] (numeric) = 5.42528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.921
y[1] (analytic) = 5.4274482
y[1] (numeric) = 5.4274482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.922
y[1] (analytic) = 5.4296168
y[1] (numeric) = 5.4296168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.923
y[1] (analytic) = 5.4317858
y[1] (numeric) = 5.4317858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.924
y[1] (analytic) = 5.4339552
y[1] (numeric) = 5.4339552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.925
y[1] (analytic) = 5.436125
y[1] (numeric) = 5.436125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.926
y[1] (analytic) = 5.4382952
y[1] (numeric) = 5.4382952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.927
y[1] (analytic) = 5.4404658
y[1] (numeric) = 5.4404658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.928
y[1] (analytic) = 5.4426368
y[1] (numeric) = 5.4426368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.929
y[1] (analytic) = 5.4448082
y[1] (numeric) = 5.4448082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.93
y[1] (analytic) = 5.44698
y[1] (numeric) = 5.44698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.931
y[1] (analytic) = 5.4491522
y[1] (numeric) = 5.4491522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.932
y[1] (analytic) = 5.4513248
y[1] (numeric) = 5.4513248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.933
y[1] (analytic) = 5.4534978
y[1] (numeric) = 5.4534978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.934
y[1] (analytic) = 5.4556712
y[1] (numeric) = 5.4556712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.935
y[1] (analytic) = 5.457845
y[1] (numeric) = 5.457845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.936
y[1] (analytic) = 5.4600192
y[1] (numeric) = 5.4600192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.937
y[1] (analytic) = 5.4621938
y[1] (numeric) = 5.4621938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.938
y[1] (analytic) = 5.4643688
y[1] (numeric) = 5.4643688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.939
y[1] (analytic) = 5.4665442
y[1] (numeric) = 5.4665442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.94
y[1] (analytic) = 5.46872
y[1] (numeric) = 5.46872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.941
y[1] (analytic) = 5.4708962
y[1] (numeric) = 5.4708962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.942
y[1] (analytic) = 5.4730728
y[1] (numeric) = 5.4730728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.943
y[1] (analytic) = 5.4752498
y[1] (numeric) = 5.4752498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.944
y[1] (analytic) = 5.4774272
y[1] (numeric) = 5.4774272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.945
y[1] (analytic) = 5.479605
y[1] (numeric) = 5.479605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.946
y[1] (analytic) = 5.4817832
y[1] (numeric) = 5.4817832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.947
y[1] (analytic) = 5.4839618
y[1] (numeric) = 5.4839618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.948
y[1] (analytic) = 5.4861408
y[1] (numeric) = 5.4861408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.949
y[1] (analytic) = 5.4883202
y[1] (numeric) = 5.4883202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.95
y[1] (analytic) = 5.4905
y[1] (numeric) = 5.4905
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.951
y[1] (analytic) = 5.4926802
y[1] (numeric) = 5.4926802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.952
y[1] (analytic) = 5.4948608
y[1] (numeric) = 5.4948608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.953
y[1] (analytic) = 5.4970418
y[1] (numeric) = 5.4970418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.954
y[1] (analytic) = 5.4992232
y[1] (numeric) = 5.4992232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.955
y[1] (analytic) = 5.501405
y[1] (numeric) = 5.501405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.956
y[1] (analytic) = 5.5035872
y[1] (numeric) = 5.5035872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.957
y[1] (analytic) = 5.5057698
y[1] (numeric) = 5.5057698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.958
y[1] (analytic) = 5.5079528
y[1] (numeric) = 5.5079528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.959
y[1] (analytic) = 5.5101362
y[1] (numeric) = 5.5101362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.96
y[1] (analytic) = 5.51232
y[1] (numeric) = 5.51232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.961
y[1] (analytic) = 5.5145042
y[1] (numeric) = 5.5145042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.962
y[1] (analytic) = 5.5166888
y[1] (numeric) = 5.5166888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.963
y[1] (analytic) = 5.5188738
y[1] (numeric) = 5.5188738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.964
y[1] (analytic) = 5.5210592
y[1] (numeric) = 5.5210592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.965
y[1] (analytic) = 5.523245
y[1] (numeric) = 5.523245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.966
y[1] (analytic) = 5.5254312
y[1] (numeric) = 5.5254312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.967
y[1] (analytic) = 5.5276178
y[1] (numeric) = 5.5276178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.968
y[1] (analytic) = 5.5298048
y[1] (numeric) = 5.5298048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=225.0MB, alloc=3.9MB, time=37.25
NO POLE
x[1] = 3.969
y[1] (analytic) = 5.5319922
y[1] (numeric) = 5.5319922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.97
y[1] (analytic) = 5.53418
y[1] (numeric) = 5.53418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.971
y[1] (analytic) = 5.5363682
y[1] (numeric) = 5.5363682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.972
y[1] (analytic) = 5.5385568
y[1] (numeric) = 5.5385568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.973
y[1] (analytic) = 5.5407458
y[1] (numeric) = 5.5407458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.974
y[1] (analytic) = 5.5429352
y[1] (numeric) = 5.5429352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.975
y[1] (analytic) = 5.545125
y[1] (numeric) = 5.545125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.976
y[1] (analytic) = 5.5473152
y[1] (numeric) = 5.5473152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.977
y[1] (analytic) = 5.5495058
y[1] (numeric) = 5.5495058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.978
y[1] (analytic) = 5.5516968
y[1] (numeric) = 5.5516968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.979
y[1] (analytic) = 5.5538882
y[1] (numeric) = 5.5538882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.98
y[1] (analytic) = 5.55608
y[1] (numeric) = 5.55608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.981
y[1] (analytic) = 5.5582722
y[1] (numeric) = 5.5582722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.982
y[1] (analytic) = 5.5604648
y[1] (numeric) = 5.5604648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.983
y[1] (analytic) = 5.5626578
y[1] (numeric) = 5.5626578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.984
y[1] (analytic) = 5.5648512
y[1] (numeric) = 5.5648512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.985
y[1] (analytic) = 5.567045
y[1] (numeric) = 5.567045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.986
y[1] (analytic) = 5.5692392
y[1] (numeric) = 5.5692392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.987
y[1] (analytic) = 5.5714338
y[1] (numeric) = 5.5714338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.988
y[1] (analytic) = 5.5736288
y[1] (numeric) = 5.5736288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.989
y[1] (analytic) = 5.5758242
y[1] (numeric) = 5.5758242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.99
y[1] (analytic) = 5.57802
y[1] (numeric) = 5.57802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.991
y[1] (analytic) = 5.5802162
y[1] (numeric) = 5.5802162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.992
y[1] (analytic) = 5.5824128
y[1] (numeric) = 5.5824128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.993
y[1] (analytic) = 5.5846098
y[1] (numeric) = 5.5846098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.994
y[1] (analytic) = 5.5868072
y[1] (numeric) = 5.5868072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.995
y[1] (analytic) = 5.589005
y[1] (numeric) = 5.589005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.996
y[1] (analytic) = 5.5912032
y[1] (numeric) = 5.5912032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.997
y[1] (analytic) = 5.5934018
y[1] (numeric) = 5.5934018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.998
y[1] (analytic) = 5.5956008
y[1] (numeric) = 5.5956008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.999
y[1] (analytic) = 5.5978002
y[1] (numeric) = 5.5978002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4
y[1] (analytic) = 5.6
y[1] (numeric) = 5.6
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.001
y[1] (analytic) = 5.6022002
y[1] (numeric) = 5.6022002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.002
y[1] (analytic) = 5.6044008
y[1] (numeric) = 5.6044008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.003
y[1] (analytic) = 5.6066018
y[1] (numeric) = 5.6066018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.004
y[1] (analytic) = 5.6088032
y[1] (numeric) = 5.6088032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.005
y[1] (analytic) = 5.611005
y[1] (numeric) = 5.611005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.006
y[1] (analytic) = 5.6132072
y[1] (numeric) = 5.6132072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.007
y[1] (analytic) = 5.6154098
y[1] (numeric) = 5.6154098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.008
y[1] (analytic) = 5.6176128
y[1] (numeric) = 5.6176128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.009
y[1] (analytic) = 5.6198162
y[1] (numeric) = 5.6198162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.01
y[1] (analytic) = 5.62202
y[1] (numeric) = 5.62202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.011
y[1] (analytic) = 5.6242242
y[1] (numeric) = 5.6242242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.012
y[1] (analytic) = 5.6264288
y[1] (numeric) = 5.6264288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.013
y[1] (analytic) = 5.6286338
y[1] (numeric) = 5.6286338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.014
y[1] (analytic) = 5.6308392
y[1] (numeric) = 5.6308392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.015
y[1] (analytic) = 5.633045
y[1] (numeric) = 5.633045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.016
y[1] (analytic) = 5.6352512
y[1] (numeric) = 5.6352512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.017
y[1] (analytic) = 5.6374578
y[1] (numeric) = 5.6374578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.018
y[1] (analytic) = 5.6396648
y[1] (numeric) = 5.6396648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.019
y[1] (analytic) = 5.6418722
y[1] (numeric) = 5.6418722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.02
y[1] (analytic) = 5.64408
y[1] (numeric) = 5.64408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.021
y[1] (analytic) = 5.6462882
y[1] (numeric) = 5.6462882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.022
y[1] (analytic) = 5.6484968
y[1] (numeric) = 5.6484968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.023
y[1] (analytic) = 5.6507058
y[1] (numeric) = 5.6507058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.024
y[1] (analytic) = 5.6529152
y[1] (numeric) = 5.6529152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.025
y[1] (analytic) = 5.655125
y[1] (numeric) = 5.655125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.026
y[1] (analytic) = 5.6573352
y[1] (numeric) = 5.6573352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.027
y[1] (analytic) = 5.6595458
y[1] (numeric) = 5.6595458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.028
y[1] (analytic) = 5.6617568
y[1] (numeric) = 5.6617568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.029
y[1] (analytic) = 5.6639682
y[1] (numeric) = 5.6639682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.03
y[1] (analytic) = 5.66618
y[1] (numeric) = 5.66618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.031
y[1] (analytic) = 5.6683922
y[1] (numeric) = 5.6683922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.032
y[1] (analytic) = 5.6706048
y[1] (numeric) = 5.6706048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.033
y[1] (analytic) = 5.6728178
y[1] (numeric) = 5.6728178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.034
y[1] (analytic) = 5.6750312
y[1] (numeric) = 5.6750312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=228.8MB, alloc=3.9MB, time=37.88
x[1] = 4.035
y[1] (analytic) = 5.677245
y[1] (numeric) = 5.677245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.036
y[1] (analytic) = 5.6794592
y[1] (numeric) = 5.6794592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.037
y[1] (analytic) = 5.6816738
y[1] (numeric) = 5.6816738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.038
y[1] (analytic) = 5.6838888
y[1] (numeric) = 5.6838888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.039
y[1] (analytic) = 5.6861042
y[1] (numeric) = 5.6861042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.04
y[1] (analytic) = 5.68832
y[1] (numeric) = 5.68832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.041
y[1] (analytic) = 5.6905362
y[1] (numeric) = 5.6905362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.042
y[1] (analytic) = 5.6927528
y[1] (numeric) = 5.6927528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.043
y[1] (analytic) = 5.6949698
y[1] (numeric) = 5.6949698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.044
y[1] (analytic) = 5.6971872
y[1] (numeric) = 5.6971872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.045
y[1] (analytic) = 5.699405
y[1] (numeric) = 5.699405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.046
y[1] (analytic) = 5.7016232
y[1] (numeric) = 5.7016232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.047
y[1] (analytic) = 5.7038418
y[1] (numeric) = 5.7038418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.048
y[1] (analytic) = 5.7060608
y[1] (numeric) = 5.7060608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.049
y[1] (analytic) = 5.7082802
y[1] (numeric) = 5.7082802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.05
y[1] (analytic) = 5.7105
y[1] (numeric) = 5.7105
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.051
y[1] (analytic) = 5.7127202
y[1] (numeric) = 5.7127202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.052
y[1] (analytic) = 5.7149408
y[1] (numeric) = 5.7149408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.053
y[1] (analytic) = 5.7171618
y[1] (numeric) = 5.7171618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.054
y[1] (analytic) = 5.7193832
y[1] (numeric) = 5.7193832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.055
y[1] (analytic) = 5.721605
y[1] (numeric) = 5.721605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.056
y[1] (analytic) = 5.7238272
y[1] (numeric) = 5.7238272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.057
y[1] (analytic) = 5.7260498
y[1] (numeric) = 5.7260498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.058
y[1] (analytic) = 5.7282728
y[1] (numeric) = 5.7282728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.059
y[1] (analytic) = 5.7304962
y[1] (numeric) = 5.7304962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.06
y[1] (analytic) = 5.73272
y[1] (numeric) = 5.73272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.061
y[1] (analytic) = 5.7349442
y[1] (numeric) = 5.7349442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.062
y[1] (analytic) = 5.7371688
y[1] (numeric) = 5.7371688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.063
y[1] (analytic) = 5.7393938
y[1] (numeric) = 5.7393938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.064
y[1] (analytic) = 5.7416192
y[1] (numeric) = 5.7416192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.065
y[1] (analytic) = 5.743845
y[1] (numeric) = 5.743845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.066
y[1] (analytic) = 5.7460712
y[1] (numeric) = 5.7460712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.067
y[1] (analytic) = 5.7482978
y[1] (numeric) = 5.7482978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.068
y[1] (analytic) = 5.7505248
y[1] (numeric) = 5.7505248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.069
y[1] (analytic) = 5.7527522
y[1] (numeric) = 5.7527522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.07
y[1] (analytic) = 5.75498
y[1] (numeric) = 5.75498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.071
y[1] (analytic) = 5.7572082
y[1] (numeric) = 5.7572082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.072
y[1] (analytic) = 5.7594368
y[1] (numeric) = 5.7594368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.073
y[1] (analytic) = 5.7616658
y[1] (numeric) = 5.7616658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.074
y[1] (analytic) = 5.7638952
y[1] (numeric) = 5.7638952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.075
y[1] (analytic) = 5.766125
y[1] (numeric) = 5.766125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.076
y[1] (analytic) = 5.7683552
y[1] (numeric) = 5.7683552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.077
y[1] (analytic) = 5.7705858
y[1] (numeric) = 5.7705858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.078
y[1] (analytic) = 5.7728168
y[1] (numeric) = 5.7728168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.079
y[1] (analytic) = 5.7750482
y[1] (numeric) = 5.7750482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.08
y[1] (analytic) = 5.77728
y[1] (numeric) = 5.77728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.081
y[1] (analytic) = 5.7795122
y[1] (numeric) = 5.7795122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.082
y[1] (analytic) = 5.7817448
y[1] (numeric) = 5.7817448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.083
y[1] (analytic) = 5.7839778
y[1] (numeric) = 5.7839778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.084
y[1] (analytic) = 5.7862112
y[1] (numeric) = 5.7862112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.085
y[1] (analytic) = 5.788445
y[1] (numeric) = 5.788445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.086
y[1] (analytic) = 5.7906792
y[1] (numeric) = 5.7906792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.087
y[1] (analytic) = 5.7929138
y[1] (numeric) = 5.7929138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.088
y[1] (analytic) = 5.7951488
y[1] (numeric) = 5.7951488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.089
y[1] (analytic) = 5.7973842
y[1] (numeric) = 5.7973842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.09
y[1] (analytic) = 5.79962
y[1] (numeric) = 5.79962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.091
y[1] (analytic) = 5.8018562
y[1] (numeric) = 5.8018562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.092
y[1] (analytic) = 5.8040928
y[1] (numeric) = 5.8040928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.093
y[1] (analytic) = 5.8063298
y[1] (numeric) = 5.8063298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.094
y[1] (analytic) = 5.8085672
y[1] (numeric) = 5.8085672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.095
y[1] (analytic) = 5.810805
y[1] (numeric) = 5.810805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.096
y[1] (analytic) = 5.8130432
y[1] (numeric) = 5.8130432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.097
y[1] (analytic) = 5.8152818
y[1] (numeric) = 5.8152818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.098
y[1] (analytic) = 5.8175208
y[1] (numeric) = 5.8175208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.099
y[1] (analytic) = 5.8197602
y[1] (numeric) = 5.8197602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1
y[1] (analytic) = 5.822
y[1] (numeric) = 5.822
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=232.7MB, alloc=3.9MB, time=38.51
x[1] = 4.101
y[1] (analytic) = 5.8242402
y[1] (numeric) = 5.8242402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.102
y[1] (analytic) = 5.8264808
y[1] (numeric) = 5.8264808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.103
y[1] (analytic) = 5.8287218
y[1] (numeric) = 5.8287218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.104
y[1] (analytic) = 5.8309632
y[1] (numeric) = 5.8309632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.105
y[1] (analytic) = 5.833205
y[1] (numeric) = 5.833205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.106
y[1] (analytic) = 5.8354472
y[1] (numeric) = 5.8354472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.107
y[1] (analytic) = 5.8376898
y[1] (numeric) = 5.8376898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.108
y[1] (analytic) = 5.8399328
y[1] (numeric) = 5.8399328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.109
y[1] (analytic) = 5.8421762
y[1] (numeric) = 5.8421762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.11
y[1] (analytic) = 5.84442
y[1] (numeric) = 5.84442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.111
y[1] (analytic) = 5.8466642
y[1] (numeric) = 5.8466642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.112
y[1] (analytic) = 5.8489088
y[1] (numeric) = 5.8489088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.113
y[1] (analytic) = 5.8511538
y[1] (numeric) = 5.8511538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.114
y[1] (analytic) = 5.8533992
y[1] (numeric) = 5.8533992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.115
y[1] (analytic) = 5.855645
y[1] (numeric) = 5.855645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.116
y[1] (analytic) = 5.8578912
y[1] (numeric) = 5.8578912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.117
y[1] (analytic) = 5.8601378
y[1] (numeric) = 5.8601378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.118
y[1] (analytic) = 5.8623848
y[1] (numeric) = 5.8623848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.119
y[1] (analytic) = 5.8646322
y[1] (numeric) = 5.8646322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.12
y[1] (analytic) = 5.86688
y[1] (numeric) = 5.86688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.121
y[1] (analytic) = 5.8691282
y[1] (numeric) = 5.8691282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.122
y[1] (analytic) = 5.8713768
y[1] (numeric) = 5.8713768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.123
y[1] (analytic) = 5.8736258
y[1] (numeric) = 5.8736258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.124
y[1] (analytic) = 5.8758752
y[1] (numeric) = 5.8758752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.125
y[1] (analytic) = 5.878125
y[1] (numeric) = 5.878125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.126
y[1] (analytic) = 5.8803752
y[1] (numeric) = 5.8803752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.127
y[1] (analytic) = 5.8826258
y[1] (numeric) = 5.8826258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.128
y[1] (analytic) = 5.8848768
y[1] (numeric) = 5.8848768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.129
y[1] (analytic) = 5.8871282
y[1] (numeric) = 5.8871282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.13
y[1] (analytic) = 5.88938
y[1] (numeric) = 5.88938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.131
y[1] (analytic) = 5.8916322
y[1] (numeric) = 5.8916322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.132
y[1] (analytic) = 5.8938848
y[1] (numeric) = 5.8938848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.133
y[1] (analytic) = 5.8961378
y[1] (numeric) = 5.8961378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.134
y[1] (analytic) = 5.8983912
y[1] (numeric) = 5.8983912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.135
y[1] (analytic) = 5.900645
y[1] (numeric) = 5.900645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.136
y[1] (analytic) = 5.9028992
y[1] (numeric) = 5.9028992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.137
y[1] (analytic) = 5.9051538
y[1] (numeric) = 5.9051538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.138
y[1] (analytic) = 5.9074088
y[1] (numeric) = 5.9074088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.139
y[1] (analytic) = 5.9096642
y[1] (numeric) = 5.9096642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.14
y[1] (analytic) = 5.91192
y[1] (numeric) = 5.91192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.141
y[1] (analytic) = 5.9141762
y[1] (numeric) = 5.9141762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.142
y[1] (analytic) = 5.9164328
y[1] (numeric) = 5.9164328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.143
y[1] (analytic) = 5.9186898
y[1] (numeric) = 5.9186898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.144
y[1] (analytic) = 5.9209472
y[1] (numeric) = 5.9209472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.145
y[1] (analytic) = 5.923205
y[1] (numeric) = 5.923205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.146
y[1] (analytic) = 5.9254632
y[1] (numeric) = 5.9254632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.147
y[1] (analytic) = 5.9277218
y[1] (numeric) = 5.9277218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.148
y[1] (analytic) = 5.9299808
y[1] (numeric) = 5.9299808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.149
y[1] (analytic) = 5.9322402
y[1] (numeric) = 5.9322402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.15
y[1] (analytic) = 5.9345
y[1] (numeric) = 5.9345
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.151
y[1] (analytic) = 5.9367602
y[1] (numeric) = 5.9367602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.152
y[1] (analytic) = 5.9390208
y[1] (numeric) = 5.9390208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.153
y[1] (analytic) = 5.9412818
y[1] (numeric) = 5.9412818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.154
y[1] (analytic) = 5.9435432
y[1] (numeric) = 5.9435432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.155
y[1] (analytic) = 5.945805
y[1] (numeric) = 5.945805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.156
y[1] (analytic) = 5.9480672
y[1] (numeric) = 5.9480672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.157
y[1] (analytic) = 5.9503298
y[1] (numeric) = 5.9503298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.158
y[1] (analytic) = 5.9525928
y[1] (numeric) = 5.9525928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.159
y[1] (analytic) = 5.9548562
y[1] (numeric) = 5.9548562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.16
y[1] (analytic) = 5.95712
y[1] (numeric) = 5.95712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.161
y[1] (analytic) = 5.9593842
y[1] (numeric) = 5.9593842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.162
y[1] (analytic) = 5.9616488
y[1] (numeric) = 5.9616488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.163
y[1] (analytic) = 5.9639138
y[1] (numeric) = 5.9639138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.164
y[1] (analytic) = 5.9661792
y[1] (numeric) = 5.9661792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.165
y[1] (analytic) = 5.968445
y[1] (numeric) = 5.968445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.166
y[1] (analytic) = 5.9707112
y[1] (numeric) = 5.9707112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=236.5MB, alloc=3.9MB, time=39.16
x[1] = 4.167
y[1] (analytic) = 5.9729778
y[1] (numeric) = 5.9729778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.168
y[1] (analytic) = 5.9752448
y[1] (numeric) = 5.9752448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.169
y[1] (analytic) = 5.9775122
y[1] (numeric) = 5.9775122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.17
y[1] (analytic) = 5.97978
y[1] (numeric) = 5.97978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.171
y[1] (analytic) = 5.9820482
y[1] (numeric) = 5.9820482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.172
y[1] (analytic) = 5.9843168
y[1] (numeric) = 5.9843168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.173
y[1] (analytic) = 5.9865858
y[1] (numeric) = 5.9865858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.174
y[1] (analytic) = 5.9888552
y[1] (numeric) = 5.9888552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.175
y[1] (analytic) = 5.991125
y[1] (numeric) = 5.991125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.176
y[1] (analytic) = 5.9933952
y[1] (numeric) = 5.9933952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.177
y[1] (analytic) = 5.9956658
y[1] (numeric) = 5.9956658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.178
y[1] (analytic) = 5.9979368
y[1] (numeric) = 5.9979368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.179
y[1] (analytic) = 6.0002082
y[1] (numeric) = 6.0002082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.18
y[1] (analytic) = 6.00248
y[1] (numeric) = 6.00248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.181
y[1] (analytic) = 6.0047522
y[1] (numeric) = 6.0047522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.182
y[1] (analytic) = 6.0070248
y[1] (numeric) = 6.0070248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.183
y[1] (analytic) = 6.0092978
y[1] (numeric) = 6.0092978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.184
y[1] (analytic) = 6.0115712
y[1] (numeric) = 6.0115712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.185
y[1] (analytic) = 6.013845
y[1] (numeric) = 6.013845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.186
y[1] (analytic) = 6.0161192
y[1] (numeric) = 6.0161192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.187
y[1] (analytic) = 6.0183938
y[1] (numeric) = 6.0183938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.188
y[1] (analytic) = 6.0206688
y[1] (numeric) = 6.0206688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.189
y[1] (analytic) = 6.0229442
y[1] (numeric) = 6.0229442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.19
y[1] (analytic) = 6.02522
y[1] (numeric) = 6.02522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.191
y[1] (analytic) = 6.0274962
y[1] (numeric) = 6.0274962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.192
y[1] (analytic) = 6.0297728
y[1] (numeric) = 6.0297728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.193
y[1] (analytic) = 6.0320498
y[1] (numeric) = 6.0320498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.194
y[1] (analytic) = 6.0343272
y[1] (numeric) = 6.0343272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.195
y[1] (analytic) = 6.036605
y[1] (numeric) = 6.036605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.196
y[1] (analytic) = 6.0388832
y[1] (numeric) = 6.0388832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.197
y[1] (analytic) = 6.0411618
y[1] (numeric) = 6.0411618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.198
y[1] (analytic) = 6.0434408
y[1] (numeric) = 6.0434408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.199
y[1] (analytic) = 6.0457202
y[1] (numeric) = 6.0457202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2
y[1] (analytic) = 6.048
y[1] (numeric) = 6.048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.201
y[1] (analytic) = 6.0502802
y[1] (numeric) = 6.0502802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.202
y[1] (analytic) = 6.0525608
y[1] (numeric) = 6.0525608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.203
y[1] (analytic) = 6.0548418
y[1] (numeric) = 6.0548418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.204
y[1] (analytic) = 6.0571232
y[1] (numeric) = 6.0571232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.205
y[1] (analytic) = 6.059405
y[1] (numeric) = 6.059405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.206
y[1] (analytic) = 6.0616872
y[1] (numeric) = 6.0616872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.207
y[1] (analytic) = 6.0639698
y[1] (numeric) = 6.0639698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.208
y[1] (analytic) = 6.0662528
y[1] (numeric) = 6.0662528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.209
y[1] (analytic) = 6.0685362
y[1] (numeric) = 6.0685362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.21
y[1] (analytic) = 6.07082
y[1] (numeric) = 6.07082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.211
y[1] (analytic) = 6.0731042
y[1] (numeric) = 6.0731042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.212
y[1] (analytic) = 6.0753888
y[1] (numeric) = 6.0753888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.213
y[1] (analytic) = 6.0776738
y[1] (numeric) = 6.0776738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.214
y[1] (analytic) = 6.0799592
y[1] (numeric) = 6.0799592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.215
y[1] (analytic) = 6.082245
y[1] (numeric) = 6.082245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.216
y[1] (analytic) = 6.0845312
y[1] (numeric) = 6.0845312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.217
y[1] (analytic) = 6.0868178
y[1] (numeric) = 6.0868178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.218
y[1] (analytic) = 6.0891048
y[1] (numeric) = 6.0891048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.219
y[1] (analytic) = 6.0913922
y[1] (numeric) = 6.0913922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.22
y[1] (analytic) = 6.09368
y[1] (numeric) = 6.09368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.221
y[1] (analytic) = 6.0959682
y[1] (numeric) = 6.0959682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.222
y[1] (analytic) = 6.0982568
y[1] (numeric) = 6.0982568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.223
y[1] (analytic) = 6.1005458
y[1] (numeric) = 6.1005458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.224
y[1] (analytic) = 6.1028352
y[1] (numeric) = 6.1028352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.225
y[1] (analytic) = 6.105125
y[1] (numeric) = 6.105125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.226
y[1] (analytic) = 6.1074152
y[1] (numeric) = 6.1074152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.227
y[1] (analytic) = 6.1097058
y[1] (numeric) = 6.1097058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.228
y[1] (analytic) = 6.1119968
y[1] (numeric) = 6.1119968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.229
y[1] (analytic) = 6.1142882
y[1] (numeric) = 6.1142882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.23
y[1] (analytic) = 6.11658
y[1] (numeric) = 6.11658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.231
y[1] (analytic) = 6.1188722
y[1] (numeric) = 6.1188722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.232
y[1] (analytic) = 6.1211648
y[1] (numeric) = 6.1211648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=240.3MB, alloc=3.9MB, time=39.81
x[1] = 4.233
y[1] (analytic) = 6.1234578
y[1] (numeric) = 6.1234578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.234
y[1] (analytic) = 6.1257512
y[1] (numeric) = 6.1257512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.235
y[1] (analytic) = 6.128045
y[1] (numeric) = 6.128045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.236
y[1] (analytic) = 6.1303392
y[1] (numeric) = 6.1303392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.237
y[1] (analytic) = 6.1326338
y[1] (numeric) = 6.1326338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.238
y[1] (analytic) = 6.1349288
y[1] (numeric) = 6.1349288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.239
y[1] (analytic) = 6.1372242
y[1] (numeric) = 6.1372242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.24
y[1] (analytic) = 6.13952
y[1] (numeric) = 6.13952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.241
y[1] (analytic) = 6.1418162
y[1] (numeric) = 6.1418162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.242
y[1] (analytic) = 6.1441128
y[1] (numeric) = 6.1441128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.243
y[1] (analytic) = 6.1464098
y[1] (numeric) = 6.1464098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.244
y[1] (analytic) = 6.1487072
y[1] (numeric) = 6.1487072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.245
y[1] (analytic) = 6.151005
y[1] (numeric) = 6.151005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.246
y[1] (analytic) = 6.1533032
y[1] (numeric) = 6.1533032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.247
y[1] (analytic) = 6.1556018
y[1] (numeric) = 6.1556018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.248
y[1] (analytic) = 6.1579008
y[1] (numeric) = 6.1579008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.249
y[1] (analytic) = 6.1602002
y[1] (numeric) = 6.1602002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.25
y[1] (analytic) = 6.1625
y[1] (numeric) = 6.1625
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.251
y[1] (analytic) = 6.1648002
y[1] (numeric) = 6.1648002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.252
y[1] (analytic) = 6.1671008
y[1] (numeric) = 6.1671008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.253
y[1] (analytic) = 6.1694018
y[1] (numeric) = 6.1694018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.254
y[1] (analytic) = 6.1717032
y[1] (numeric) = 6.1717032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.255
y[1] (analytic) = 6.174005
y[1] (numeric) = 6.174005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.256
y[1] (analytic) = 6.1763072
y[1] (numeric) = 6.1763072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.257
y[1] (analytic) = 6.1786098
y[1] (numeric) = 6.1786098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.258
y[1] (analytic) = 6.1809128
y[1] (numeric) = 6.1809128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.259
y[1] (analytic) = 6.1832162
y[1] (numeric) = 6.1832162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.26
y[1] (analytic) = 6.18552
y[1] (numeric) = 6.18552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.261
y[1] (analytic) = 6.1878242
y[1] (numeric) = 6.1878242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.262
y[1] (analytic) = 6.1901288
y[1] (numeric) = 6.1901288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.263
y[1] (analytic) = 6.1924338
y[1] (numeric) = 6.1924338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.264
y[1] (analytic) = 6.1947392
y[1] (numeric) = 6.1947392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.265
y[1] (analytic) = 6.197045
y[1] (numeric) = 6.197045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.266
y[1] (analytic) = 6.1993512
y[1] (numeric) = 6.1993512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.267
y[1] (analytic) = 6.2016578
y[1] (numeric) = 6.2016578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.268
y[1] (analytic) = 6.2039648
y[1] (numeric) = 6.2039648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.269
y[1] (analytic) = 6.2062722
y[1] (numeric) = 6.2062722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.27
y[1] (analytic) = 6.20858
y[1] (numeric) = 6.20858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.271
y[1] (analytic) = 6.2108882
y[1] (numeric) = 6.2108882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.272
y[1] (analytic) = 6.2131968
y[1] (numeric) = 6.2131968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.273
y[1] (analytic) = 6.2155058
y[1] (numeric) = 6.2155058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.274
y[1] (analytic) = 6.2178152
y[1] (numeric) = 6.2178152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.275
y[1] (analytic) = 6.220125
y[1] (numeric) = 6.220125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.276
y[1] (analytic) = 6.2224352
y[1] (numeric) = 6.2224352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.277
y[1] (analytic) = 6.2247458
y[1] (numeric) = 6.2247458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.278
y[1] (analytic) = 6.2270568
y[1] (numeric) = 6.2270568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.279
y[1] (analytic) = 6.2293682
y[1] (numeric) = 6.2293682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.28
y[1] (analytic) = 6.23168
y[1] (numeric) = 6.23168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.281
y[1] (analytic) = 6.2339922
y[1] (numeric) = 6.2339922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.282
y[1] (analytic) = 6.2363048
y[1] (numeric) = 6.2363048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.283
y[1] (analytic) = 6.2386178
y[1] (numeric) = 6.2386178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.284
y[1] (analytic) = 6.2409312
y[1] (numeric) = 6.2409312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.285
y[1] (analytic) = 6.243245
y[1] (numeric) = 6.243245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.286
y[1] (analytic) = 6.2455592
y[1] (numeric) = 6.2455592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.287
y[1] (analytic) = 6.2478738
y[1] (numeric) = 6.2478738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.288
y[1] (analytic) = 6.2501888
y[1] (numeric) = 6.2501888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.289
y[1] (analytic) = 6.2525042
y[1] (numeric) = 6.2525042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.29
y[1] (analytic) = 6.25482
y[1] (numeric) = 6.25482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.291
y[1] (analytic) = 6.2571362
y[1] (numeric) = 6.2571362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.292
y[1] (analytic) = 6.2594528
y[1] (numeric) = 6.2594528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.293
y[1] (analytic) = 6.2617698
y[1] (numeric) = 6.2617698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.294
y[1] (analytic) = 6.2640872
y[1] (numeric) = 6.2640872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.295
y[1] (analytic) = 6.266405
y[1] (numeric) = 6.266405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.296
y[1] (analytic) = 6.2687232
y[1] (numeric) = 6.2687232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.297
y[1] (analytic) = 6.2710418
y[1] (numeric) = 6.2710418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.298
y[1] (analytic) = 6.2733608
y[1] (numeric) = 6.2733608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=244.1MB, alloc=3.9MB, time=40.41
x[1] = 4.299
y[1] (analytic) = 6.2756802
y[1] (numeric) = 6.2756802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3
y[1] (analytic) = 6.278
y[1] (numeric) = 6.278
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.301
y[1] (analytic) = 6.2803202
y[1] (numeric) = 6.2803202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.302
y[1] (analytic) = 6.2826408
y[1] (numeric) = 6.2826408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.303
y[1] (analytic) = 6.2849618
y[1] (numeric) = 6.2849618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.304
y[1] (analytic) = 6.2872832
y[1] (numeric) = 6.2872832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.305
y[1] (analytic) = 6.289605
y[1] (numeric) = 6.289605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.306
y[1] (analytic) = 6.2919272
y[1] (numeric) = 6.2919272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.307
y[1] (analytic) = 6.2942498
y[1] (numeric) = 6.2942498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.308
y[1] (analytic) = 6.2965728
y[1] (numeric) = 6.2965728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.309
y[1] (analytic) = 6.2988962
y[1] (numeric) = 6.2988962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.31
y[1] (analytic) = 6.30122
y[1] (numeric) = 6.30122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.311
y[1] (analytic) = 6.3035442
y[1] (numeric) = 6.3035442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.312
y[1] (analytic) = 6.3058688
y[1] (numeric) = 6.3058688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.313
y[1] (analytic) = 6.3081938
y[1] (numeric) = 6.3081938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.314
y[1] (analytic) = 6.3105192
y[1] (numeric) = 6.3105192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.315
y[1] (analytic) = 6.312845
y[1] (numeric) = 6.312845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.316
y[1] (analytic) = 6.3151712
y[1] (numeric) = 6.3151712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.317
y[1] (analytic) = 6.3174978
y[1] (numeric) = 6.3174978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.318
y[1] (analytic) = 6.3198248
y[1] (numeric) = 6.3198248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.319
y[1] (analytic) = 6.3221522
y[1] (numeric) = 6.3221522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.32
y[1] (analytic) = 6.32448
y[1] (numeric) = 6.32448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.321
y[1] (analytic) = 6.3268082
y[1] (numeric) = 6.3268082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.322
y[1] (analytic) = 6.3291368
y[1] (numeric) = 6.3291368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.323
y[1] (analytic) = 6.3314658
y[1] (numeric) = 6.3314658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.324
y[1] (analytic) = 6.3337952
y[1] (numeric) = 6.3337952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.325
y[1] (analytic) = 6.336125
y[1] (numeric) = 6.336125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.326
y[1] (analytic) = 6.3384552
y[1] (numeric) = 6.3384552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.327
y[1] (analytic) = 6.3407858
y[1] (numeric) = 6.3407858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.328
y[1] (analytic) = 6.3431168
y[1] (numeric) = 6.3431168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.329
y[1] (analytic) = 6.3454482
y[1] (numeric) = 6.3454482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.33
y[1] (analytic) = 6.34778
y[1] (numeric) = 6.34778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.331
y[1] (analytic) = 6.3501122
y[1] (numeric) = 6.3501122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.332
y[1] (analytic) = 6.3524448
y[1] (numeric) = 6.3524448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.333
y[1] (analytic) = 6.3547778
y[1] (numeric) = 6.3547778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.334
y[1] (analytic) = 6.3571112
y[1] (numeric) = 6.3571112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.335
y[1] (analytic) = 6.359445
y[1] (numeric) = 6.359445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.336
y[1] (analytic) = 6.3617792
y[1] (numeric) = 6.3617792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.337
y[1] (analytic) = 6.3641138
y[1] (numeric) = 6.3641138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.338
y[1] (analytic) = 6.3664488
y[1] (numeric) = 6.3664488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.339
y[1] (analytic) = 6.3687842
y[1] (numeric) = 6.3687842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.34
y[1] (analytic) = 6.37112
y[1] (numeric) = 6.37112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.341
y[1] (analytic) = 6.3734562
y[1] (numeric) = 6.3734562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.342
y[1] (analytic) = 6.3757928
y[1] (numeric) = 6.3757928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.343
y[1] (analytic) = 6.3781298
y[1] (numeric) = 6.3781298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.344
y[1] (analytic) = 6.3804672
y[1] (numeric) = 6.3804672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.345
y[1] (analytic) = 6.382805
y[1] (numeric) = 6.382805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.346
y[1] (analytic) = 6.3851432
y[1] (numeric) = 6.3851432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.347
y[1] (analytic) = 6.3874818
y[1] (numeric) = 6.3874818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.348
y[1] (analytic) = 6.3898208
y[1] (numeric) = 6.3898208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.349
y[1] (analytic) = 6.3921602
y[1] (numeric) = 6.3921602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.35
y[1] (analytic) = 6.3945
y[1] (numeric) = 6.3945
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.351
y[1] (analytic) = 6.3968402
y[1] (numeric) = 6.3968402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.352
y[1] (analytic) = 6.3991808
y[1] (numeric) = 6.3991808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.353
y[1] (analytic) = 6.4015218
y[1] (numeric) = 6.4015218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.354
y[1] (analytic) = 6.4038632
y[1] (numeric) = 6.4038632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.355
y[1] (analytic) = 6.406205
y[1] (numeric) = 6.406205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.356
y[1] (analytic) = 6.4085472
y[1] (numeric) = 6.4085472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.357
y[1] (analytic) = 6.4108898
y[1] (numeric) = 6.4108898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.358
y[1] (analytic) = 6.4132328
y[1] (numeric) = 6.4132328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.359
y[1] (analytic) = 6.4155762
y[1] (numeric) = 6.4155762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.36
y[1] (analytic) = 6.41792
y[1] (numeric) = 6.41792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.361
y[1] (analytic) = 6.4202642
y[1] (numeric) = 6.4202642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.362
y[1] (analytic) = 6.4226088
y[1] (numeric) = 6.4226088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.363
y[1] (analytic) = 6.4249538
y[1] (numeric) = 6.4249538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.364
y[1] (analytic) = 6.4272992
y[1] (numeric) = 6.4272992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=247.9MB, alloc=3.9MB, time=41.03
x[1] = 4.365
y[1] (analytic) = 6.429645
y[1] (numeric) = 6.429645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.366
y[1] (analytic) = 6.4319912
y[1] (numeric) = 6.4319912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.367
y[1] (analytic) = 6.4343378
y[1] (numeric) = 6.4343378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.368
y[1] (analytic) = 6.4366848
y[1] (numeric) = 6.4366848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.369
y[1] (analytic) = 6.4390322
y[1] (numeric) = 6.4390322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.37
y[1] (analytic) = 6.44138
y[1] (numeric) = 6.44138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.371
y[1] (analytic) = 6.4437282
y[1] (numeric) = 6.4437282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.372
y[1] (analytic) = 6.4460768
y[1] (numeric) = 6.4460768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.373
y[1] (analytic) = 6.4484258
y[1] (numeric) = 6.4484258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.374
y[1] (analytic) = 6.4507752
y[1] (numeric) = 6.4507752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.375
y[1] (analytic) = 6.453125
y[1] (numeric) = 6.453125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.376
y[1] (analytic) = 6.4554752
y[1] (numeric) = 6.4554752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.377
y[1] (analytic) = 6.4578258
y[1] (numeric) = 6.4578258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.378
y[1] (analytic) = 6.4601768
y[1] (numeric) = 6.4601768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.379
y[1] (analytic) = 6.4625282
y[1] (numeric) = 6.4625282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.38
y[1] (analytic) = 6.46488
y[1] (numeric) = 6.46488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.381
y[1] (analytic) = 6.4672322
y[1] (numeric) = 6.4672322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.382
y[1] (analytic) = 6.4695848
y[1] (numeric) = 6.4695848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.383
y[1] (analytic) = 6.4719378
y[1] (numeric) = 6.4719378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.384
y[1] (analytic) = 6.4742912
y[1] (numeric) = 6.4742912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.385
y[1] (analytic) = 6.476645
y[1] (numeric) = 6.476645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.386
y[1] (analytic) = 6.4789992
y[1] (numeric) = 6.4789992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.387
y[1] (analytic) = 6.4813538
y[1] (numeric) = 6.4813538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.388
y[1] (analytic) = 6.4837088
y[1] (numeric) = 6.4837088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.389
y[1] (analytic) = 6.4860642
y[1] (numeric) = 6.4860642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.39
y[1] (analytic) = 6.48842
y[1] (numeric) = 6.48842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.391
y[1] (analytic) = 6.4907762
y[1] (numeric) = 6.4907762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.392
y[1] (analytic) = 6.4931328
y[1] (numeric) = 6.4931328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.393
y[1] (analytic) = 6.4954898
y[1] (numeric) = 6.4954898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.394
y[1] (analytic) = 6.4978472
y[1] (numeric) = 6.4978472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.395
y[1] (analytic) = 6.500205
y[1] (numeric) = 6.500205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.396
y[1] (analytic) = 6.5025632
y[1] (numeric) = 6.5025632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.397
y[1] (analytic) = 6.5049218
y[1] (numeric) = 6.5049218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.398
y[1] (analytic) = 6.5072808
y[1] (numeric) = 6.5072808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.399
y[1] (analytic) = 6.5096402
y[1] (numeric) = 6.5096402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4
y[1] (analytic) = 6.512
y[1] (numeric) = 6.512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.401
y[1] (analytic) = 6.5143602
y[1] (numeric) = 6.5143602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.402
y[1] (analytic) = 6.5167208
y[1] (numeric) = 6.5167208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.403
y[1] (analytic) = 6.5190818
y[1] (numeric) = 6.5190818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.404
y[1] (analytic) = 6.5214432
y[1] (numeric) = 6.5214432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.405
y[1] (analytic) = 6.523805
y[1] (numeric) = 6.523805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.406
y[1] (analytic) = 6.5261672
y[1] (numeric) = 6.5261672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.407
y[1] (analytic) = 6.5285298
y[1] (numeric) = 6.5285298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.408
y[1] (analytic) = 6.5308928
y[1] (numeric) = 6.5308928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.409
y[1] (analytic) = 6.5332562
y[1] (numeric) = 6.5332562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.41
y[1] (analytic) = 6.53562
y[1] (numeric) = 6.53562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.411
y[1] (analytic) = 6.5379842
y[1] (numeric) = 6.5379842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.412
y[1] (analytic) = 6.5403488
y[1] (numeric) = 6.5403488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.413
y[1] (analytic) = 6.5427138
y[1] (numeric) = 6.5427138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.414
y[1] (analytic) = 6.5450792
y[1] (numeric) = 6.5450792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.415
y[1] (analytic) = 6.547445
y[1] (numeric) = 6.547445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.416
y[1] (analytic) = 6.5498112
y[1] (numeric) = 6.5498112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.417
y[1] (analytic) = 6.5521778
y[1] (numeric) = 6.5521778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.418
y[1] (analytic) = 6.5545448
y[1] (numeric) = 6.5545448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.419
y[1] (analytic) = 6.5569122
y[1] (numeric) = 6.5569122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.42
y[1] (analytic) = 6.55928
y[1] (numeric) = 6.55928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.421
y[1] (analytic) = 6.5616482
y[1] (numeric) = 6.5616482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.422
y[1] (analytic) = 6.5640168
y[1] (numeric) = 6.5640168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.423
y[1] (analytic) = 6.5663858
y[1] (numeric) = 6.5663858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.424
y[1] (analytic) = 6.5687552
y[1] (numeric) = 6.5687552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.425
y[1] (analytic) = 6.571125
y[1] (numeric) = 6.571125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.426
y[1] (analytic) = 6.5734952
y[1] (numeric) = 6.5734952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.427
y[1] (analytic) = 6.5758658
y[1] (numeric) = 6.5758658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.428
y[1] (analytic) = 6.5782368
y[1] (numeric) = 6.5782368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.429
y[1] (analytic) = 6.5806082
y[1] (numeric) = 6.5806082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.43
y[1] (analytic) = 6.58298
y[1] (numeric) = 6.58298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.431
y[1] (analytic) = 6.5853522
memory used=251.7MB, alloc=3.9MB, time=41.66
y[1] (numeric) = 6.5853522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.432
y[1] (analytic) = 6.5877248
y[1] (numeric) = 6.5877248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.433
y[1] (analytic) = 6.5900978
y[1] (numeric) = 6.5900978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.434
y[1] (analytic) = 6.5924712
y[1] (numeric) = 6.5924712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.435
y[1] (analytic) = 6.594845
y[1] (numeric) = 6.594845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.436
y[1] (analytic) = 6.5972192
y[1] (numeric) = 6.5972192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.437
y[1] (analytic) = 6.5995938
y[1] (numeric) = 6.5995938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.438
y[1] (analytic) = 6.6019688
y[1] (numeric) = 6.6019688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.439
y[1] (analytic) = 6.6043442
y[1] (numeric) = 6.6043442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.44
y[1] (analytic) = 6.60672
y[1] (numeric) = 6.60672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.441
y[1] (analytic) = 6.6090962
y[1] (numeric) = 6.6090962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.442
y[1] (analytic) = 6.6114728
y[1] (numeric) = 6.6114728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.443
y[1] (analytic) = 6.6138498
y[1] (numeric) = 6.6138498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.444
y[1] (analytic) = 6.6162272
y[1] (numeric) = 6.6162272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.445
y[1] (analytic) = 6.618605
y[1] (numeric) = 6.618605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.446
y[1] (analytic) = 6.6209832
y[1] (numeric) = 6.6209832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.447
y[1] (analytic) = 6.6233618
y[1] (numeric) = 6.6233618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.448
y[1] (analytic) = 6.6257408
y[1] (numeric) = 6.6257408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.449
y[1] (analytic) = 6.6281202
y[1] (numeric) = 6.6281202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.45
y[1] (analytic) = 6.6305
y[1] (numeric) = 6.6305
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.451
y[1] (analytic) = 6.6328802
y[1] (numeric) = 6.6328802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.452
y[1] (analytic) = 6.6352608
y[1] (numeric) = 6.6352608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.453
y[1] (analytic) = 6.6376418
y[1] (numeric) = 6.6376418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.454
y[1] (analytic) = 6.6400232
y[1] (numeric) = 6.6400232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.455
y[1] (analytic) = 6.642405
y[1] (numeric) = 6.642405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.456
y[1] (analytic) = 6.6447872
y[1] (numeric) = 6.6447872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.457
y[1] (analytic) = 6.6471698
y[1] (numeric) = 6.6471698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.458
y[1] (analytic) = 6.6495528
y[1] (numeric) = 6.6495528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.459
y[1] (analytic) = 6.6519362
y[1] (numeric) = 6.6519362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.46
y[1] (analytic) = 6.65432
y[1] (numeric) = 6.65432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.461
y[1] (analytic) = 6.6567042
y[1] (numeric) = 6.6567042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.462
y[1] (analytic) = 6.6590888
y[1] (numeric) = 6.6590888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.463
y[1] (analytic) = 6.6614738
y[1] (numeric) = 6.6614738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.464
y[1] (analytic) = 6.6638592
y[1] (numeric) = 6.6638592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.465
y[1] (analytic) = 6.666245
y[1] (numeric) = 6.666245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.466
y[1] (analytic) = 6.6686312
y[1] (numeric) = 6.6686312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.467
y[1] (analytic) = 6.6710178
y[1] (numeric) = 6.6710178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.468
y[1] (analytic) = 6.6734048
y[1] (numeric) = 6.6734048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.469
y[1] (analytic) = 6.6757922
y[1] (numeric) = 6.6757922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.47
y[1] (analytic) = 6.67818
y[1] (numeric) = 6.67818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.471
y[1] (analytic) = 6.6805682
y[1] (numeric) = 6.6805682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.472
y[1] (analytic) = 6.6829568
y[1] (numeric) = 6.6829568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.473
y[1] (analytic) = 6.6853458
y[1] (numeric) = 6.6853458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.474
y[1] (analytic) = 6.6877352
y[1] (numeric) = 6.6877352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.475
y[1] (analytic) = 6.690125
y[1] (numeric) = 6.690125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.476
y[1] (analytic) = 6.6925152
y[1] (numeric) = 6.6925152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.477
y[1] (analytic) = 6.6949058
y[1] (numeric) = 6.6949058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.478
y[1] (analytic) = 6.6972968
y[1] (numeric) = 6.6972968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.479
y[1] (analytic) = 6.6996882
y[1] (numeric) = 6.6996882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.48
y[1] (analytic) = 6.70208
y[1] (numeric) = 6.70208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.481
y[1] (analytic) = 6.7044722
y[1] (numeric) = 6.7044722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.482
y[1] (analytic) = 6.7068648
y[1] (numeric) = 6.7068648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.483
y[1] (analytic) = 6.7092578
y[1] (numeric) = 6.7092578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.484
y[1] (analytic) = 6.7116512
y[1] (numeric) = 6.7116512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.485
y[1] (analytic) = 6.714045
y[1] (numeric) = 6.714045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.486
y[1] (analytic) = 6.7164392
y[1] (numeric) = 6.7164392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.487
y[1] (analytic) = 6.7188338
y[1] (numeric) = 6.7188338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.488
y[1] (analytic) = 6.7212288
y[1] (numeric) = 6.7212288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.489
y[1] (analytic) = 6.7236242
y[1] (numeric) = 6.7236242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.49
y[1] (analytic) = 6.72602
y[1] (numeric) = 6.72602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.491
y[1] (analytic) = 6.7284162
y[1] (numeric) = 6.7284162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.492
y[1] (analytic) = 6.7308128
y[1] (numeric) = 6.7308128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.493
y[1] (analytic) = 6.7332098
y[1] (numeric) = 6.7332098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.494
y[1] (analytic) = 6.7356072
y[1] (numeric) = 6.7356072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.495
y[1] (analytic) = 6.738005
y[1] (numeric) = 6.738005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.496
y[1] (analytic) = 6.7404032
y[1] (numeric) = 6.7404032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.497
y[1] (analytic) = 6.7428018
y[1] (numeric) = 6.7428018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
memory used=255.5MB, alloc=3.9MB, time=42.27
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.498
y[1] (analytic) = 6.7452008
y[1] (numeric) = 6.7452008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.499
y[1] (analytic) = 6.7476002
y[1] (numeric) = 6.7476002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5
y[1] (analytic) = 6.75
y[1] (numeric) = 6.75
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.501
y[1] (analytic) = 6.7524002
y[1] (numeric) = 6.7524002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.502
y[1] (analytic) = 6.7548008
y[1] (numeric) = 6.7548008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.503
y[1] (analytic) = 6.7572018
y[1] (numeric) = 6.7572018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.504
y[1] (analytic) = 6.7596032
y[1] (numeric) = 6.7596032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.505
y[1] (analytic) = 6.762005
y[1] (numeric) = 6.762005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.506
y[1] (analytic) = 6.7644072
y[1] (numeric) = 6.7644072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.507
y[1] (analytic) = 6.7668098
y[1] (numeric) = 6.7668098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.508
y[1] (analytic) = 6.7692128
y[1] (numeric) = 6.7692128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.509
y[1] (analytic) = 6.7716162
y[1] (numeric) = 6.7716162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.51
y[1] (analytic) = 6.77402
y[1] (numeric) = 6.77402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.511
y[1] (analytic) = 6.7764242
y[1] (numeric) = 6.7764242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.512
y[1] (analytic) = 6.7788288
y[1] (numeric) = 6.7788288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.513
y[1] (analytic) = 6.7812338
y[1] (numeric) = 6.7812338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.514
y[1] (analytic) = 6.7836392
y[1] (numeric) = 6.7836392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.515
y[1] (analytic) = 6.786045
y[1] (numeric) = 6.786045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.516
y[1] (analytic) = 6.7884512
y[1] (numeric) = 6.7884512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.517
y[1] (analytic) = 6.7908578
y[1] (numeric) = 6.7908578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.518
y[1] (analytic) = 6.7932648
y[1] (numeric) = 6.7932648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.519
y[1] (analytic) = 6.7956722
y[1] (numeric) = 6.7956722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.52
y[1] (analytic) = 6.79808
y[1] (numeric) = 6.79808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.521
y[1] (analytic) = 6.8004882
y[1] (numeric) = 6.8004882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.522
y[1] (analytic) = 6.8028968
y[1] (numeric) = 6.8028968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.523
y[1] (analytic) = 6.8053058
y[1] (numeric) = 6.8053058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.524
y[1] (analytic) = 6.8077152
y[1] (numeric) = 6.8077152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.525
y[1] (analytic) = 6.810125
y[1] (numeric) = 6.810125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.526
y[1] (analytic) = 6.8125352
y[1] (numeric) = 6.8125352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.527
y[1] (analytic) = 6.8149458
y[1] (numeric) = 6.8149458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.528
y[1] (analytic) = 6.8173568
y[1] (numeric) = 6.8173568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.529
y[1] (analytic) = 6.8197682
y[1] (numeric) = 6.8197682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.53
y[1] (analytic) = 6.82218
y[1] (numeric) = 6.82218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.531
y[1] (analytic) = 6.8245922
y[1] (numeric) = 6.8245922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.532
y[1] (analytic) = 6.8270048
y[1] (numeric) = 6.8270048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.533
y[1] (analytic) = 6.8294178
y[1] (numeric) = 6.8294178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.534
y[1] (analytic) = 6.8318312
y[1] (numeric) = 6.8318312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.535
y[1] (analytic) = 6.834245
y[1] (numeric) = 6.834245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.536
y[1] (analytic) = 6.8366592
y[1] (numeric) = 6.8366592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.537
y[1] (analytic) = 6.8390738
y[1] (numeric) = 6.8390738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.538
y[1] (analytic) = 6.8414888
y[1] (numeric) = 6.8414888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.539
y[1] (analytic) = 6.8439042
y[1] (numeric) = 6.8439042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.54
y[1] (analytic) = 6.84632
y[1] (numeric) = 6.84632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.541
y[1] (analytic) = 6.8487362
y[1] (numeric) = 6.8487362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.542
y[1] (analytic) = 6.8511528
y[1] (numeric) = 6.8511528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.543
y[1] (analytic) = 6.8535698
y[1] (numeric) = 6.8535698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.544
y[1] (analytic) = 6.8559872
y[1] (numeric) = 6.8559872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.545
y[1] (analytic) = 6.858405
y[1] (numeric) = 6.858405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.546
y[1] (analytic) = 6.8608232
y[1] (numeric) = 6.8608232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.547
y[1] (analytic) = 6.8632418
y[1] (numeric) = 6.8632418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.548
y[1] (analytic) = 6.8656608
y[1] (numeric) = 6.8656608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.549
y[1] (analytic) = 6.8680802
y[1] (numeric) = 6.8680802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.55
y[1] (analytic) = 6.8705
y[1] (numeric) = 6.8705
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.551
y[1] (analytic) = 6.8729202
y[1] (numeric) = 6.8729202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.552
y[1] (analytic) = 6.8753408
y[1] (numeric) = 6.8753408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.553
y[1] (analytic) = 6.8777618
y[1] (numeric) = 6.8777618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.554
y[1] (analytic) = 6.8801832
y[1] (numeric) = 6.8801832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.555
y[1] (analytic) = 6.882605
y[1] (numeric) = 6.882605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.556
y[1] (analytic) = 6.8850272
y[1] (numeric) = 6.8850272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.557
y[1] (analytic) = 6.8874498
y[1] (numeric) = 6.8874498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.558
y[1] (analytic) = 6.8898728
y[1] (numeric) = 6.8898728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.559
y[1] (analytic) = 6.8922962
y[1] (numeric) = 6.8922962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.56
y[1] (analytic) = 6.89472
y[1] (numeric) = 6.89472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.561
y[1] (analytic) = 6.8971442
y[1] (numeric) = 6.8971442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.562
y[1] (analytic) = 6.8995688
y[1] (numeric) = 6.8995688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.563
y[1] (analytic) = 6.9019938
y[1] (numeric) = 6.9019938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=259.4MB, alloc=3.9MB, time=42.89
NO POLE
x[1] = 4.564
y[1] (analytic) = 6.9044192
y[1] (numeric) = 6.9044192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.565
y[1] (analytic) = 6.906845
y[1] (numeric) = 6.906845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.566
y[1] (analytic) = 6.9092712
y[1] (numeric) = 6.9092712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.567
y[1] (analytic) = 6.9116978
y[1] (numeric) = 6.9116978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.568
y[1] (analytic) = 6.9141248
y[1] (numeric) = 6.9141248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.569
y[1] (analytic) = 6.9165522
y[1] (numeric) = 6.9165522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.57
y[1] (analytic) = 6.91898
y[1] (numeric) = 6.91898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.571
y[1] (analytic) = 6.9214082
y[1] (numeric) = 6.9214082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.572
y[1] (analytic) = 6.9238368
y[1] (numeric) = 6.9238368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.573
y[1] (analytic) = 6.9262658
y[1] (numeric) = 6.9262658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.574
y[1] (analytic) = 6.9286952
y[1] (numeric) = 6.9286952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.575
y[1] (analytic) = 6.931125
y[1] (numeric) = 6.931125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.576
y[1] (analytic) = 6.9335552
y[1] (numeric) = 6.9335552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.577
y[1] (analytic) = 6.9359858
y[1] (numeric) = 6.9359858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.578
y[1] (analytic) = 6.9384168
y[1] (numeric) = 6.9384168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.579
y[1] (analytic) = 6.9408482
y[1] (numeric) = 6.9408482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.58
y[1] (analytic) = 6.94328
y[1] (numeric) = 6.94328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.581
y[1] (analytic) = 6.9457122
y[1] (numeric) = 6.9457122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.582
y[1] (analytic) = 6.9481448
y[1] (numeric) = 6.9481448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.583
y[1] (analytic) = 6.9505778
y[1] (numeric) = 6.9505778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.584
y[1] (analytic) = 6.9530112
y[1] (numeric) = 6.9530112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.585
y[1] (analytic) = 6.955445
y[1] (numeric) = 6.955445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.586
y[1] (analytic) = 6.9578792
y[1] (numeric) = 6.9578792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.587
y[1] (analytic) = 6.9603138
y[1] (numeric) = 6.9603138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.588
y[1] (analytic) = 6.9627488
y[1] (numeric) = 6.9627488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.589
y[1] (analytic) = 6.9651842
y[1] (numeric) = 6.9651842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.59
y[1] (analytic) = 6.96762
y[1] (numeric) = 6.96762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.591
y[1] (analytic) = 6.9700562
y[1] (numeric) = 6.9700562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.592
y[1] (analytic) = 6.9724928
y[1] (numeric) = 6.9724928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.593
y[1] (analytic) = 6.9749298
y[1] (numeric) = 6.9749298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.594
y[1] (analytic) = 6.9773672
y[1] (numeric) = 6.9773672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.595
y[1] (analytic) = 6.979805
y[1] (numeric) = 6.979805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.596
y[1] (analytic) = 6.9822432
y[1] (numeric) = 6.9822432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.597
y[1] (analytic) = 6.9846818
y[1] (numeric) = 6.9846818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.598
y[1] (analytic) = 6.9871208
y[1] (numeric) = 6.9871208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.599
y[1] (analytic) = 6.9895602
y[1] (numeric) = 6.9895602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6
y[1] (analytic) = 6.992
y[1] (numeric) = 6.992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.601
y[1] (analytic) = 6.9944402
y[1] (numeric) = 6.9944402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.602
y[1] (analytic) = 6.9968808
y[1] (numeric) = 6.9968808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.603
y[1] (analytic) = 6.9993218
y[1] (numeric) = 6.9993218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.604
y[1] (analytic) = 7.0017632
y[1] (numeric) = 7.0017632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.605
y[1] (analytic) = 7.004205
y[1] (numeric) = 7.004205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.606
y[1] (analytic) = 7.0066472
y[1] (numeric) = 7.0066472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.607
y[1] (analytic) = 7.0090898
y[1] (numeric) = 7.0090898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.608
y[1] (analytic) = 7.0115328
y[1] (numeric) = 7.0115328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.609
y[1] (analytic) = 7.0139762
y[1] (numeric) = 7.0139762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.61
y[1] (analytic) = 7.01642
y[1] (numeric) = 7.01642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.611
y[1] (analytic) = 7.0188642
y[1] (numeric) = 7.0188642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.612
y[1] (analytic) = 7.0213088
y[1] (numeric) = 7.0213088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.613
y[1] (analytic) = 7.0237538
y[1] (numeric) = 7.0237538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.614
y[1] (analytic) = 7.0261992
y[1] (numeric) = 7.0261992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.615
y[1] (analytic) = 7.028645
y[1] (numeric) = 7.028645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.616
y[1] (analytic) = 7.0310912
y[1] (numeric) = 7.0310912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.617
y[1] (analytic) = 7.0335378
y[1] (numeric) = 7.0335378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.618
y[1] (analytic) = 7.0359848
y[1] (numeric) = 7.0359848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.619
y[1] (analytic) = 7.0384322
y[1] (numeric) = 7.0384322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.62
y[1] (analytic) = 7.04088
y[1] (numeric) = 7.04088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.621
y[1] (analytic) = 7.0433282
y[1] (numeric) = 7.0433282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.622
y[1] (analytic) = 7.0457768
y[1] (numeric) = 7.0457768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.623
y[1] (analytic) = 7.0482258
y[1] (numeric) = 7.0482258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.624
y[1] (analytic) = 7.0506752
y[1] (numeric) = 7.0506752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.625
y[1] (analytic) = 7.053125
y[1] (numeric) = 7.053125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.626
y[1] (analytic) = 7.0555752
y[1] (numeric) = 7.0555752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.627
y[1] (analytic) = 7.0580258
y[1] (numeric) = 7.0580258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.628
y[1] (analytic) = 7.0604768
y[1] (numeric) = 7.0604768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.629
y[1] (analytic) = 7.0629282
y[1] (numeric) = 7.0629282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=263.2MB, alloc=3.9MB, time=43.51
NO POLE
x[1] = 4.63
y[1] (analytic) = 7.06538
y[1] (numeric) = 7.06538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.631
y[1] (analytic) = 7.0678322
y[1] (numeric) = 7.0678322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.632
y[1] (analytic) = 7.0702848
y[1] (numeric) = 7.0702848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.633
y[1] (analytic) = 7.0727378
y[1] (numeric) = 7.0727378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.634
y[1] (analytic) = 7.0751912
y[1] (numeric) = 7.0751912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.635
y[1] (analytic) = 7.077645
y[1] (numeric) = 7.077645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.636
y[1] (analytic) = 7.0800992
y[1] (numeric) = 7.0800992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.637
y[1] (analytic) = 7.0825538
y[1] (numeric) = 7.0825538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.638
y[1] (analytic) = 7.0850088
y[1] (numeric) = 7.0850088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.639
y[1] (analytic) = 7.0874642
y[1] (numeric) = 7.0874642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.64
y[1] (analytic) = 7.08992
y[1] (numeric) = 7.08992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.641
y[1] (analytic) = 7.0923762
y[1] (numeric) = 7.0923762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.642
y[1] (analytic) = 7.0948328
y[1] (numeric) = 7.0948328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.643
y[1] (analytic) = 7.0972898
y[1] (numeric) = 7.0972898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.644
y[1] (analytic) = 7.0997472
y[1] (numeric) = 7.0997472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.645
y[1] (analytic) = 7.102205
y[1] (numeric) = 7.102205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.646
y[1] (analytic) = 7.1046632
y[1] (numeric) = 7.1046632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.647
y[1] (analytic) = 7.1071218
y[1] (numeric) = 7.1071218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.648
y[1] (analytic) = 7.1095808
y[1] (numeric) = 7.1095808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.649
y[1] (analytic) = 7.1120402
y[1] (numeric) = 7.1120402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.65
y[1] (analytic) = 7.1145
y[1] (numeric) = 7.1145
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.651
y[1] (analytic) = 7.1169602
y[1] (numeric) = 7.1169602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.652
y[1] (analytic) = 7.1194208
y[1] (numeric) = 7.1194208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.653
y[1] (analytic) = 7.1218818
y[1] (numeric) = 7.1218818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.654
y[1] (analytic) = 7.1243432
y[1] (numeric) = 7.1243432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.655
y[1] (analytic) = 7.126805
y[1] (numeric) = 7.126805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.656
y[1] (analytic) = 7.1292672
y[1] (numeric) = 7.1292672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.657
y[1] (analytic) = 7.1317298
y[1] (numeric) = 7.1317298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.658
y[1] (analytic) = 7.1341928
y[1] (numeric) = 7.1341928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.659
y[1] (analytic) = 7.1366562
y[1] (numeric) = 7.1366562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.66
y[1] (analytic) = 7.13912
y[1] (numeric) = 7.13912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.661
y[1] (analytic) = 7.1415842
y[1] (numeric) = 7.1415842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.662
y[1] (analytic) = 7.1440488
y[1] (numeric) = 7.1440488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.663
y[1] (analytic) = 7.1465138
y[1] (numeric) = 7.1465138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.664
y[1] (analytic) = 7.1489792
y[1] (numeric) = 7.1489792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.665
y[1] (analytic) = 7.151445
y[1] (numeric) = 7.151445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.666
y[1] (analytic) = 7.1539112
y[1] (numeric) = 7.1539112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.667
y[1] (analytic) = 7.1563778
y[1] (numeric) = 7.1563778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.668
y[1] (analytic) = 7.1588448
y[1] (numeric) = 7.1588448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.669
y[1] (analytic) = 7.1613122
y[1] (numeric) = 7.1613122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.67
y[1] (analytic) = 7.16378
y[1] (numeric) = 7.16378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.671
y[1] (analytic) = 7.1662482
y[1] (numeric) = 7.1662482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.672
y[1] (analytic) = 7.1687168
y[1] (numeric) = 7.1687168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.673
y[1] (analytic) = 7.1711858
y[1] (numeric) = 7.1711858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.674
y[1] (analytic) = 7.1736552
y[1] (numeric) = 7.1736552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.675
y[1] (analytic) = 7.176125
y[1] (numeric) = 7.176125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.676
y[1] (analytic) = 7.1785952
y[1] (numeric) = 7.1785952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.677
y[1] (analytic) = 7.1810658
y[1] (numeric) = 7.1810658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.678
y[1] (analytic) = 7.1835368
y[1] (numeric) = 7.1835368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.679
y[1] (analytic) = 7.1860082
y[1] (numeric) = 7.1860082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.68
y[1] (analytic) = 7.18848
y[1] (numeric) = 7.18848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.681
y[1] (analytic) = 7.1909522
y[1] (numeric) = 7.1909522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.682
y[1] (analytic) = 7.1934248
y[1] (numeric) = 7.1934248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.683
y[1] (analytic) = 7.1958978
y[1] (numeric) = 7.1958978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.684
y[1] (analytic) = 7.1983712
y[1] (numeric) = 7.1983712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.685
y[1] (analytic) = 7.200845
y[1] (numeric) = 7.200845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.686
y[1] (analytic) = 7.2033192
y[1] (numeric) = 7.2033192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.687
y[1] (analytic) = 7.2057938
y[1] (numeric) = 7.2057938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.688
y[1] (analytic) = 7.2082688
y[1] (numeric) = 7.2082688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.689
y[1] (analytic) = 7.2107442
y[1] (numeric) = 7.2107442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.69
y[1] (analytic) = 7.21322
y[1] (numeric) = 7.21322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.691
y[1] (analytic) = 7.2156962
y[1] (numeric) = 7.2156962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.692
y[1] (analytic) = 7.2181728
y[1] (numeric) = 7.2181728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.693
y[1] (analytic) = 7.2206498
y[1] (numeric) = 7.2206498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.694
y[1] (analytic) = 7.2231272
y[1] (numeric) = 7.2231272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.695
y[1] (analytic) = 7.225605
y[1] (numeric) = 7.225605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=267.0MB, alloc=3.9MB, time=44.12
NO POLE
x[1] = 4.696
y[1] (analytic) = 7.2280832
y[1] (numeric) = 7.2280832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.697
y[1] (analytic) = 7.2305618
y[1] (numeric) = 7.2305618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.698
y[1] (analytic) = 7.2330408
y[1] (numeric) = 7.2330408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.699
y[1] (analytic) = 7.2355202
y[1] (numeric) = 7.2355202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7
y[1] (analytic) = 7.238
y[1] (numeric) = 7.238
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.701
y[1] (analytic) = 7.2404802
y[1] (numeric) = 7.2404802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.702
y[1] (analytic) = 7.2429608
y[1] (numeric) = 7.2429608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.703
y[1] (analytic) = 7.2454418
y[1] (numeric) = 7.2454418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.704
y[1] (analytic) = 7.2479232
y[1] (numeric) = 7.2479232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.705
y[1] (analytic) = 7.250405
y[1] (numeric) = 7.250405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.706
y[1] (analytic) = 7.2528872
y[1] (numeric) = 7.2528872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.707
y[1] (analytic) = 7.2553698
y[1] (numeric) = 7.2553698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.708
y[1] (analytic) = 7.2578528
y[1] (numeric) = 7.2578528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.709
y[1] (analytic) = 7.2603362
y[1] (numeric) = 7.2603362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.71
y[1] (analytic) = 7.26282
y[1] (numeric) = 7.26282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.711
y[1] (analytic) = 7.2653042
y[1] (numeric) = 7.2653042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.712
y[1] (analytic) = 7.2677888
y[1] (numeric) = 7.2677888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.713
y[1] (analytic) = 7.2702738
y[1] (numeric) = 7.2702738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.714
y[1] (analytic) = 7.2727592
y[1] (numeric) = 7.2727592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.715
y[1] (analytic) = 7.275245
y[1] (numeric) = 7.275245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.716
y[1] (analytic) = 7.2777312
y[1] (numeric) = 7.2777312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.717
y[1] (analytic) = 7.2802178
y[1] (numeric) = 7.2802178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.718
y[1] (analytic) = 7.2827048
y[1] (numeric) = 7.2827048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.719
y[1] (analytic) = 7.2851922
y[1] (numeric) = 7.2851922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.72
y[1] (analytic) = 7.28768
y[1] (numeric) = 7.28768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.721
y[1] (analytic) = 7.2901682
y[1] (numeric) = 7.2901682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.722
y[1] (analytic) = 7.2926568
y[1] (numeric) = 7.2926568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.723
y[1] (analytic) = 7.2951458
y[1] (numeric) = 7.2951458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.724
y[1] (analytic) = 7.2976352
y[1] (numeric) = 7.2976352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.725
y[1] (analytic) = 7.300125
y[1] (numeric) = 7.300125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.726
y[1] (analytic) = 7.3026152
y[1] (numeric) = 7.3026152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.727
y[1] (analytic) = 7.3051058
y[1] (numeric) = 7.3051058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.728
y[1] (analytic) = 7.3075968
y[1] (numeric) = 7.3075968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.729
y[1] (analytic) = 7.3100882
y[1] (numeric) = 7.3100882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.73
y[1] (analytic) = 7.31258
y[1] (numeric) = 7.31258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.731
y[1] (analytic) = 7.3150722
y[1] (numeric) = 7.3150722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.732
y[1] (analytic) = 7.3175648
y[1] (numeric) = 7.3175648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.733
y[1] (analytic) = 7.3200578
y[1] (numeric) = 7.3200578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.734
y[1] (analytic) = 7.3225512
y[1] (numeric) = 7.3225512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.735
y[1] (analytic) = 7.325045
y[1] (numeric) = 7.325045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.736
y[1] (analytic) = 7.3275392
y[1] (numeric) = 7.3275392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.737
y[1] (analytic) = 7.3300338
y[1] (numeric) = 7.3300338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.738
y[1] (analytic) = 7.3325288
y[1] (numeric) = 7.3325288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.739
y[1] (analytic) = 7.3350242
y[1] (numeric) = 7.3350242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.74
y[1] (analytic) = 7.33752
y[1] (numeric) = 7.33752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.741
y[1] (analytic) = 7.3400162
y[1] (numeric) = 7.3400162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.742
y[1] (analytic) = 7.3425128
y[1] (numeric) = 7.3425128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.743
y[1] (analytic) = 7.3450098
y[1] (numeric) = 7.3450098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.744
y[1] (analytic) = 7.3475072
y[1] (numeric) = 7.3475072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.745
y[1] (analytic) = 7.350005
y[1] (numeric) = 7.350005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.746
y[1] (analytic) = 7.3525032
y[1] (numeric) = 7.3525032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.747
y[1] (analytic) = 7.3550018
y[1] (numeric) = 7.3550018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.748
y[1] (analytic) = 7.3575008
y[1] (numeric) = 7.3575008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.749
y[1] (analytic) = 7.3600002
y[1] (numeric) = 7.3600002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.75
y[1] (analytic) = 7.3625
y[1] (numeric) = 7.3625
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.751
y[1] (analytic) = 7.3650002
y[1] (numeric) = 7.3650002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.752
y[1] (analytic) = 7.3675008
y[1] (numeric) = 7.3675008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.753
y[1] (analytic) = 7.3700018
y[1] (numeric) = 7.3700018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.754
y[1] (analytic) = 7.3725032
y[1] (numeric) = 7.3725032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.755
y[1] (analytic) = 7.375005
y[1] (numeric) = 7.375005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.756
y[1] (analytic) = 7.3775072
y[1] (numeric) = 7.3775072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.757
y[1] (analytic) = 7.3800098
y[1] (numeric) = 7.3800098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.758
y[1] (analytic) = 7.3825128
y[1] (numeric) = 7.3825128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.759
y[1] (analytic) = 7.3850162
y[1] (numeric) = 7.3850162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.76
y[1] (analytic) = 7.38752
y[1] (numeric) = 7.38752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.761
y[1] (analytic) = 7.3900242
y[1] (numeric) = 7.3900242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=270.8MB, alloc=3.9MB, time=44.74
NO POLE
x[1] = 4.762
y[1] (analytic) = 7.3925288
y[1] (numeric) = 7.3925288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.763
y[1] (analytic) = 7.3950338
y[1] (numeric) = 7.3950338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.764
y[1] (analytic) = 7.3975392
y[1] (numeric) = 7.3975392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.765
y[1] (analytic) = 7.400045
y[1] (numeric) = 7.400045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.766
y[1] (analytic) = 7.4025512
y[1] (numeric) = 7.4025512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.767
y[1] (analytic) = 7.4050578
y[1] (numeric) = 7.4050578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.768
y[1] (analytic) = 7.4075648
y[1] (numeric) = 7.4075648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.769
y[1] (analytic) = 7.4100722
y[1] (numeric) = 7.4100722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.77
y[1] (analytic) = 7.41258
y[1] (numeric) = 7.41258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.771
y[1] (analytic) = 7.4150882
y[1] (numeric) = 7.4150882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.772
y[1] (analytic) = 7.4175968
y[1] (numeric) = 7.4175968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.773
y[1] (analytic) = 7.4201058
y[1] (numeric) = 7.4201058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.774
y[1] (analytic) = 7.4226152
y[1] (numeric) = 7.4226152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.775
y[1] (analytic) = 7.425125
y[1] (numeric) = 7.425125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.776
y[1] (analytic) = 7.4276352
y[1] (numeric) = 7.4276352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.777
y[1] (analytic) = 7.4301458
y[1] (numeric) = 7.4301458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.778
y[1] (analytic) = 7.4326568
y[1] (numeric) = 7.4326568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.779
y[1] (analytic) = 7.4351682
y[1] (numeric) = 7.4351682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.78
y[1] (analytic) = 7.43768
y[1] (numeric) = 7.43768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.781
y[1] (analytic) = 7.4401922
y[1] (numeric) = 7.4401922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.782
y[1] (analytic) = 7.4427048
y[1] (numeric) = 7.4427048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.783
y[1] (analytic) = 7.4452178
y[1] (numeric) = 7.4452178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.784
y[1] (analytic) = 7.4477312
y[1] (numeric) = 7.4477312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.785
y[1] (analytic) = 7.450245
y[1] (numeric) = 7.450245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.786
y[1] (analytic) = 7.4527592
y[1] (numeric) = 7.4527592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.787
y[1] (analytic) = 7.4552738
y[1] (numeric) = 7.4552738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.788
y[1] (analytic) = 7.4577888
y[1] (numeric) = 7.4577888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.789
y[1] (analytic) = 7.4603042
y[1] (numeric) = 7.4603042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.79
y[1] (analytic) = 7.46282
y[1] (numeric) = 7.46282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.791
y[1] (analytic) = 7.4653362
y[1] (numeric) = 7.4653362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.792
y[1] (analytic) = 7.4678528
y[1] (numeric) = 7.4678528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.793
y[1] (analytic) = 7.4703698
y[1] (numeric) = 7.4703698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.794
y[1] (analytic) = 7.4728872
y[1] (numeric) = 7.4728872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.795
y[1] (analytic) = 7.475405
y[1] (numeric) = 7.475405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.796
y[1] (analytic) = 7.4779232
y[1] (numeric) = 7.4779232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.797
y[1] (analytic) = 7.4804418
y[1] (numeric) = 7.4804418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.798
y[1] (analytic) = 7.4829608
y[1] (numeric) = 7.4829608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.799
y[1] (analytic) = 7.4854802
y[1] (numeric) = 7.4854802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8
y[1] (analytic) = 7.488
y[1] (numeric) = 7.488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.801
y[1] (analytic) = 7.4905202
y[1] (numeric) = 7.4905202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.802
y[1] (analytic) = 7.4930408
y[1] (numeric) = 7.4930408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.803
y[1] (analytic) = 7.4955618
y[1] (numeric) = 7.4955618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.804
y[1] (analytic) = 7.4980832
y[1] (numeric) = 7.4980832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.805
y[1] (analytic) = 7.500605
y[1] (numeric) = 7.500605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.806
y[1] (analytic) = 7.5031272
y[1] (numeric) = 7.5031272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.807
y[1] (analytic) = 7.5056498
y[1] (numeric) = 7.5056498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.808
y[1] (analytic) = 7.5081728
y[1] (numeric) = 7.5081728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.809
y[1] (analytic) = 7.5106962
y[1] (numeric) = 7.5106962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.81
y[1] (analytic) = 7.51322
y[1] (numeric) = 7.51322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.811
y[1] (analytic) = 7.5157442
y[1] (numeric) = 7.5157442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.812
y[1] (analytic) = 7.5182688
y[1] (numeric) = 7.5182688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.813
y[1] (analytic) = 7.5207938
y[1] (numeric) = 7.5207938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.814
y[1] (analytic) = 7.5233192
y[1] (numeric) = 7.5233192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.815
y[1] (analytic) = 7.525845
y[1] (numeric) = 7.525845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.816
y[1] (analytic) = 7.5283712
y[1] (numeric) = 7.5283712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.817
y[1] (analytic) = 7.5308978
y[1] (numeric) = 7.5308978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.818
y[1] (analytic) = 7.5334248
y[1] (numeric) = 7.5334248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.819
y[1] (analytic) = 7.5359522
y[1] (numeric) = 7.5359522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.82
y[1] (analytic) = 7.53848
y[1] (numeric) = 7.53848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.821
y[1] (analytic) = 7.5410082
y[1] (numeric) = 7.5410082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.822
y[1] (analytic) = 7.5435368
y[1] (numeric) = 7.5435368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.823
y[1] (analytic) = 7.5460658
y[1] (numeric) = 7.5460658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.824
y[1] (analytic) = 7.5485952
y[1] (numeric) = 7.5485952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.825
y[1] (analytic) = 7.551125
y[1] (numeric) = 7.551125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.826
y[1] (analytic) = 7.5536552
y[1] (numeric) = 7.5536552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.827
y[1] (analytic) = 7.5561858
y[1] (numeric) = 7.5561858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=274.6MB, alloc=3.9MB, time=45.37
NO POLE
x[1] = 4.828
y[1] (analytic) = 7.5587168
y[1] (numeric) = 7.5587168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.829
y[1] (analytic) = 7.5612482
y[1] (numeric) = 7.5612482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.83
y[1] (analytic) = 7.56378
y[1] (numeric) = 7.56378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.831
y[1] (analytic) = 7.5663122
y[1] (numeric) = 7.5663122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.832
y[1] (analytic) = 7.5688448
y[1] (numeric) = 7.5688448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.833
y[1] (analytic) = 7.5713778
y[1] (numeric) = 7.5713778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.834
y[1] (analytic) = 7.5739112
y[1] (numeric) = 7.5739112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.835
y[1] (analytic) = 7.576445
y[1] (numeric) = 7.576445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.836
y[1] (analytic) = 7.5789792
y[1] (numeric) = 7.5789792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.837
y[1] (analytic) = 7.5815138
y[1] (numeric) = 7.5815138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.838
y[1] (analytic) = 7.5840488
y[1] (numeric) = 7.5840488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.839
y[1] (analytic) = 7.5865842
y[1] (numeric) = 7.5865842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.84
y[1] (analytic) = 7.58912
y[1] (numeric) = 7.58912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.841
y[1] (analytic) = 7.5916562
y[1] (numeric) = 7.5916562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.842
y[1] (analytic) = 7.5941928
y[1] (numeric) = 7.5941928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.843
y[1] (analytic) = 7.5967298
y[1] (numeric) = 7.5967298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.844
y[1] (analytic) = 7.5992672
y[1] (numeric) = 7.5992672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.845
y[1] (analytic) = 7.601805
y[1] (numeric) = 7.601805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.846
y[1] (analytic) = 7.6043432
y[1] (numeric) = 7.6043432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.847
y[1] (analytic) = 7.6068818
y[1] (numeric) = 7.6068818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.848
y[1] (analytic) = 7.6094208
y[1] (numeric) = 7.6094208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.849
y[1] (analytic) = 7.6119602
y[1] (numeric) = 7.6119602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.85
y[1] (analytic) = 7.6145
y[1] (numeric) = 7.6145
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.851
y[1] (analytic) = 7.6170402
y[1] (numeric) = 7.6170402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.852
y[1] (analytic) = 7.6195808
y[1] (numeric) = 7.6195808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.853
y[1] (analytic) = 7.6221218
y[1] (numeric) = 7.6221218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.854
y[1] (analytic) = 7.6246632
y[1] (numeric) = 7.6246632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.855
y[1] (analytic) = 7.627205
y[1] (numeric) = 7.627205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.856
y[1] (analytic) = 7.6297472
y[1] (numeric) = 7.6297472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.857
y[1] (analytic) = 7.6322898
y[1] (numeric) = 7.6322898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.858
y[1] (analytic) = 7.6348328
y[1] (numeric) = 7.6348328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.859
y[1] (analytic) = 7.6373762
y[1] (numeric) = 7.6373762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.86
y[1] (analytic) = 7.63992
y[1] (numeric) = 7.63992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.861
y[1] (analytic) = 7.6424642
y[1] (numeric) = 7.6424642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.862
y[1] (analytic) = 7.6450088
y[1] (numeric) = 7.6450088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.863
y[1] (analytic) = 7.6475538
y[1] (numeric) = 7.6475538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.864
y[1] (analytic) = 7.6500992
y[1] (numeric) = 7.6500992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.865
y[1] (analytic) = 7.652645
y[1] (numeric) = 7.652645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.866
y[1] (analytic) = 7.6551912
y[1] (numeric) = 7.6551912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.867
y[1] (analytic) = 7.6577378
y[1] (numeric) = 7.6577378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.868
y[1] (analytic) = 7.6602848
y[1] (numeric) = 7.6602848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.869
y[1] (analytic) = 7.6628322
y[1] (numeric) = 7.6628322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.87
y[1] (analytic) = 7.66538
y[1] (numeric) = 7.66538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.871
y[1] (analytic) = 7.6679282
y[1] (numeric) = 7.6679282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.872
y[1] (analytic) = 7.6704768
y[1] (numeric) = 7.6704768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.873
y[1] (analytic) = 7.6730258
y[1] (numeric) = 7.6730258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.874
y[1] (analytic) = 7.6755752
y[1] (numeric) = 7.6755752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.875
y[1] (analytic) = 7.678125
y[1] (numeric) = 7.678125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.876
y[1] (analytic) = 7.6806752
y[1] (numeric) = 7.6806752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.877
y[1] (analytic) = 7.6832258
y[1] (numeric) = 7.6832258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.878
y[1] (analytic) = 7.6857768
y[1] (numeric) = 7.6857768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.879
y[1] (analytic) = 7.6883282
y[1] (numeric) = 7.6883282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.88
y[1] (analytic) = 7.69088
y[1] (numeric) = 7.69088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.881
y[1] (analytic) = 7.6934322
y[1] (numeric) = 7.6934322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.882
y[1] (analytic) = 7.6959848
y[1] (numeric) = 7.6959848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.883
y[1] (analytic) = 7.6985378
y[1] (numeric) = 7.6985378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.884
y[1] (analytic) = 7.7010912
y[1] (numeric) = 7.7010912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.885
y[1] (analytic) = 7.703645
y[1] (numeric) = 7.703645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.886
y[1] (analytic) = 7.7061992
y[1] (numeric) = 7.7061992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.887
y[1] (analytic) = 7.7087538
y[1] (numeric) = 7.7087538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.888
y[1] (analytic) = 7.7113088
y[1] (numeric) = 7.7113088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.889
y[1] (analytic) = 7.7138642
y[1] (numeric) = 7.7138642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.89
y[1] (analytic) = 7.71642
y[1] (numeric) = 7.71642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.891
y[1] (analytic) = 7.7189762
y[1] (numeric) = 7.7189762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.892
y[1] (analytic) = 7.7215328
y[1] (numeric) = 7.7215328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.893
y[1] (analytic) = 7.7240898
y[1] (numeric) = 7.7240898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=278.4MB, alloc=3.9MB, time=46.01
x[1] = 4.894
y[1] (analytic) = 7.7266472
y[1] (numeric) = 7.7266472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.895
y[1] (analytic) = 7.729205
y[1] (numeric) = 7.729205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.896
y[1] (analytic) = 7.7317632
y[1] (numeric) = 7.7317632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.897
y[1] (analytic) = 7.7343218
y[1] (numeric) = 7.7343218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.898
y[1] (analytic) = 7.7368808
y[1] (numeric) = 7.7368808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.899
y[1] (analytic) = 7.7394402
y[1] (numeric) = 7.7394402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9
y[1] (analytic) = 7.742
y[1] (numeric) = 7.742
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.901
y[1] (analytic) = 7.7445602
y[1] (numeric) = 7.7445602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.902
y[1] (analytic) = 7.7471208
y[1] (numeric) = 7.7471208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.903
y[1] (analytic) = 7.7496818
y[1] (numeric) = 7.7496818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.904
y[1] (analytic) = 7.7522432
y[1] (numeric) = 7.7522432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.905
y[1] (analytic) = 7.754805
y[1] (numeric) = 7.754805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.906
y[1] (analytic) = 7.7573672
y[1] (numeric) = 7.7573672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.907
y[1] (analytic) = 7.7599298
y[1] (numeric) = 7.7599298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.908
y[1] (analytic) = 7.7624928
y[1] (numeric) = 7.7624928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.909
y[1] (analytic) = 7.7650562
y[1] (numeric) = 7.7650562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.91
y[1] (analytic) = 7.76762
y[1] (numeric) = 7.76762
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.911
y[1] (analytic) = 7.7701842
y[1] (numeric) = 7.7701842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.912
y[1] (analytic) = 7.7727488
y[1] (numeric) = 7.7727488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.913
y[1] (analytic) = 7.7753138
y[1] (numeric) = 7.7753138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.914
y[1] (analytic) = 7.7778792
y[1] (numeric) = 7.7778792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.915
y[1] (analytic) = 7.780445
y[1] (numeric) = 7.780445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.916
y[1] (analytic) = 7.7830112
y[1] (numeric) = 7.7830112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.917
y[1] (analytic) = 7.7855778
y[1] (numeric) = 7.7855778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.918
y[1] (analytic) = 7.7881448
y[1] (numeric) = 7.7881448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.919
y[1] (analytic) = 7.7907122
y[1] (numeric) = 7.7907122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.92
y[1] (analytic) = 7.79328
y[1] (numeric) = 7.79328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.921
y[1] (analytic) = 7.7958482
y[1] (numeric) = 7.7958482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.922
y[1] (analytic) = 7.7984168
y[1] (numeric) = 7.7984168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.923
y[1] (analytic) = 7.8009858
y[1] (numeric) = 7.8009858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.924
y[1] (analytic) = 7.8035552
y[1] (numeric) = 7.8035552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.925
y[1] (analytic) = 7.806125
y[1] (numeric) = 7.806125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.926
y[1] (analytic) = 7.8086952
y[1] (numeric) = 7.8086952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.927
y[1] (analytic) = 7.8112658
y[1] (numeric) = 7.8112658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.928
y[1] (analytic) = 7.8138368
y[1] (numeric) = 7.8138368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.929
y[1] (analytic) = 7.8164082
y[1] (numeric) = 7.8164082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.93
y[1] (analytic) = 7.81898
y[1] (numeric) = 7.81898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.931
y[1] (analytic) = 7.8215522
y[1] (numeric) = 7.8215522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.932
y[1] (analytic) = 7.8241248
y[1] (numeric) = 7.8241248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.933
y[1] (analytic) = 7.8266978
y[1] (numeric) = 7.8266978
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.934
y[1] (analytic) = 7.8292712
y[1] (numeric) = 7.8292712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.935
y[1] (analytic) = 7.831845
y[1] (numeric) = 7.831845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.936
y[1] (analytic) = 7.8344192
y[1] (numeric) = 7.8344192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.937
y[1] (analytic) = 7.8369938
y[1] (numeric) = 7.8369938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.938
y[1] (analytic) = 7.8395688
y[1] (numeric) = 7.8395688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.939
y[1] (analytic) = 7.8421442
y[1] (numeric) = 7.8421442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.94
y[1] (analytic) = 7.84472
y[1] (numeric) = 7.84472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.941
y[1] (analytic) = 7.8472962
y[1] (numeric) = 7.8472962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.942
y[1] (analytic) = 7.8498728
y[1] (numeric) = 7.8498728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.943
y[1] (analytic) = 7.8524498
y[1] (numeric) = 7.8524498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.944
y[1] (analytic) = 7.8550272
y[1] (numeric) = 7.8550272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.945
y[1] (analytic) = 7.857605
y[1] (numeric) = 7.857605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.946
y[1] (analytic) = 7.8601832
y[1] (numeric) = 7.8601832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.947
y[1] (analytic) = 7.8627618
y[1] (numeric) = 7.8627618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.948
y[1] (analytic) = 7.8653408
y[1] (numeric) = 7.8653408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.949
y[1] (analytic) = 7.8679202
y[1] (numeric) = 7.8679202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.95
y[1] (analytic) = 7.8705
y[1] (numeric) = 7.8705
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.951
y[1] (analytic) = 7.8730802
y[1] (numeric) = 7.8730802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.952
y[1] (analytic) = 7.8756608
y[1] (numeric) = 7.8756608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.953
y[1] (analytic) = 7.8782418
y[1] (numeric) = 7.8782418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.954
y[1] (analytic) = 7.8808232
y[1] (numeric) = 7.8808232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.955
y[1] (analytic) = 7.883405
y[1] (numeric) = 7.883405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.956
y[1] (analytic) = 7.8859872
y[1] (numeric) = 7.8859872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.957
y[1] (analytic) = 7.8885698
y[1] (numeric) = 7.8885698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.958
y[1] (analytic) = 7.8911528
y[1] (numeric) = 7.8911528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.959
y[1] (analytic) = 7.8937362
y[1] (numeric) = 7.8937362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=282.2MB, alloc=3.9MB, time=46.64
x[1] = 4.96
y[1] (analytic) = 7.89632
y[1] (numeric) = 7.89632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.961
y[1] (analytic) = 7.8989042
y[1] (numeric) = 7.8989042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.962
y[1] (analytic) = 7.9014888
y[1] (numeric) = 7.9014888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.963
y[1] (analytic) = 7.9040738
y[1] (numeric) = 7.9040738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.964
y[1] (analytic) = 7.9066592
y[1] (numeric) = 7.9066592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.965
y[1] (analytic) = 7.909245
y[1] (numeric) = 7.909245
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.966
y[1] (analytic) = 7.9118312
y[1] (numeric) = 7.9118312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.967
y[1] (analytic) = 7.9144178
y[1] (numeric) = 7.9144178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.968
y[1] (analytic) = 7.9170048
y[1] (numeric) = 7.9170048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.969
y[1] (analytic) = 7.9195922
y[1] (numeric) = 7.9195922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.97
y[1] (analytic) = 7.92218
y[1] (numeric) = 7.92218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.971
y[1] (analytic) = 7.9247682
y[1] (numeric) = 7.9247682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.972
y[1] (analytic) = 7.9273568
y[1] (numeric) = 7.9273568
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.973
y[1] (analytic) = 7.9299458
y[1] (numeric) = 7.9299458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.974
y[1] (analytic) = 7.9325352
y[1] (numeric) = 7.9325352
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.975
y[1] (analytic) = 7.935125
y[1] (numeric) = 7.935125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.976
y[1] (analytic) = 7.9377152
y[1] (numeric) = 7.9377152
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.977
y[1] (analytic) = 7.9403058
y[1] (numeric) = 7.9403058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.978
y[1] (analytic) = 7.9428968
y[1] (numeric) = 7.9428968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.979
y[1] (analytic) = 7.9454882
y[1] (numeric) = 7.9454882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.98
y[1] (analytic) = 7.94808
y[1] (numeric) = 7.94808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.981
y[1] (analytic) = 7.9506722
y[1] (numeric) = 7.9506722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.982
y[1] (analytic) = 7.9532648
y[1] (numeric) = 7.9532648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.983
y[1] (analytic) = 7.9558578
y[1] (numeric) = 7.9558578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.984
y[1] (analytic) = 7.9584512
y[1] (numeric) = 7.9584512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.985
y[1] (analytic) = 7.961045
y[1] (numeric) = 7.961045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.986
y[1] (analytic) = 7.9636392
y[1] (numeric) = 7.9636392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.987
y[1] (analytic) = 7.9662338
y[1] (numeric) = 7.9662338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.988
y[1] (analytic) = 7.9688288
y[1] (numeric) = 7.9688288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.989
y[1] (analytic) = 7.9714242
y[1] (numeric) = 7.9714242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.99
y[1] (analytic) = 7.97402
y[1] (numeric) = 7.97402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.991
y[1] (analytic) = 7.9766162
y[1] (numeric) = 7.9766162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.992
y[1] (analytic) = 7.9792128
y[1] (numeric) = 7.9792128
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.993
y[1] (analytic) = 7.9818098
y[1] (numeric) = 7.9818098
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.994
y[1] (analytic) = 7.9844072
y[1] (numeric) = 7.9844072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.995
y[1] (analytic) = 7.987005
y[1] (numeric) = 7.987005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.996
y[1] (analytic) = 7.9896032
y[1] (numeric) = 7.9896032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.997
y[1] (analytic) = 7.9922018
y[1] (numeric) = 7.9922018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.998
y[1] (analytic) = 7.9948008
y[1] (numeric) = 7.9948008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.999
y[1] (analytic) = 7.9974002
y[1] (numeric) = 7.9974002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 5
y[1] (analytic) = 8
y[1] (numeric) = 8
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Finished!
diff ( y , x , 1 ) = 2.0 * (0.2 * x + 0.3);
Iterations = 4900
Total Elapsed Time = 46 Seconds
Elapsed Time(since restart) = 46 Seconds
Time to Timeout = 2 Minutes 13 Seconds
Percent Done = 100 %
> quit
memory used=284.6MB, alloc=3.9MB, time=47.03