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._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
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> #BEGIN OUTFILE1
> # Begin Function number 3
> check_sign := proc( x0 ,xf)
> local ret;
> if (xf > x0) then # if number 1
> ret := 1.0;
> else
> ret := -1.0;
> fi;# end if 1;
> ret;;
> end;
check_sign := proc(x0, xf)
local ret;
if x0 < xf then ret := 1.0 else ret := -1.0 end if; ret
end proc
> # End Function number 3
> # Begin Function number 4
> est_size_answer := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #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_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local min_size;
> min_size := glob_large_float;
> if (omniabs(array_y[1]) < min_size) then # if number 1
> min_size := omniabs(array_y[1]);
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> if (min_size < 1.0) then # if number 1
> min_size := 1.0;
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> min_size;
> end;
est_size_answer := proc()
local min_size;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, 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_a1, array_tmp4_a2,
array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
min_size := glob_large_float;
if omniabs(array_y[1]) < min_size then
min_size := omniabs(array_y[1]);
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
if min_size < 1.0 then
min_size := 1.0;
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
min_size
end proc
> # End Function number 4
> # Begin Function number 5
> test_suggested_h := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #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_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms;
> max_value3 := 0.0;
> no_terms := glob_max_terms;
> hn_div_ho := 0.5;
> hn_div_ho_2 := 0.25;
> hn_div_ho_3 := 0.125;
> omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,"");
> omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,"");
> omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,"");
> value3 := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3);
> if (value3 > max_value3) then # if number 1
> max_value3 := value3;
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> fi;# end if 1;
> omniout_float(ALWAYS,"max_value3",32,max_value3,32,"");
> max_value3;
> end;
test_suggested_h := proc()
local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, 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_a1, array_tmp4_a2,
array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
max_value3 := 0.;
no_terms := glob_max_terms;
hn_div_ho := 0.5;
hn_div_ho_2 := 0.25;
hn_div_ho_3 := 0.125;
omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, "");
omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, "");
omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, "");
value3 := omniabs(array_y[no_terms - 3]
+ array_y[no_terms - 2]*hn_div_ho
+ array_y[no_terms - 1]*hn_div_ho_2
+ array_y[no_terms]*hn_div_ho_3);
if max_value3 < value3 then
max_value3 := value3;
omniout_float(ALWAYS, "value3", 32, value3, 32, "")
end if;
omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, "");
max_value3
end proc
> # End Function number 5
> # Begin Function number 6
> reached_interval := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #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_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local ret;
> if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1
> ret := true;
> else
> ret := false;
> fi;# end if 1;
> return(ret);
> end;
reached_interval := proc()
local ret;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, 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_a1, array_tmp4_a2,
array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then
ret := true
else ret := false
end if;
return ret
end proc
> # End Function number 6
> # Begin Function number 7
> display_alot := proc(iter)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #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_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (reached_interval()) then # if number 1
> if (iter >= 0) then # if number 2
> ind_var := array_x[1];
> omniout_float(ALWAYS,"x[1] ",33,ind_var,20," ");
> analytic_val_y := exact_soln_y(ind_var);
> omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y[term_no];
> abserr := omniabs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," ");
> if (omniabs(analytic_val_y) <> 0.0) then # if number 3
> relerr := abserr*100.0/omniabs(analytic_val_y);
> if (relerr > 0.0000000000000000000000000000000001) then # if number 4
> glob_good_digits := -trunc(log10(relerr)) + 2;
> else
> glob_good_digits := Digits;
> fi;# end if 4;
> else
> relerr := -1.0 ;
> glob_good_digits := -1;
> fi;# end if 3;
> if (glob_iter = 1) then # if number 3
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 3;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ")
> ;
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> fi;# end if 2;
> #BOTTOM DISPLAY ALOT
> fi;# end if 1;
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, 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_a1, array_tmp4_a2,
array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
if reached_interval() then
if 0 <= iter then
ind_var := array_x[1];
omniout_float(ALWAYS, "x[1] ", 33,
ind_var, 20, " ");
analytic_val_y := exact_soln_y(ind_var);
omniout_float(ALWAYS, "y[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y[term_no];
abserr := omniabs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y[1] (numeric) ", 33,
numeric_val, 20, " ");
if omniabs(analytic_val_y) <> 0. then
relerr := abserr*100.0/omniabs(analytic_val_y);
if 0.1*10^(-33) < relerr then
glob_good_digits := -trunc(log10(relerr)) + 2
else glob_good_digits := Digits
end if
else relerr := -1.0; glob_good_digits := -1
end if;
if glob_iter = 1 then array_1st_rel_error[1] := relerr
else array_last_rel_error[1] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " ");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end if
end proc
> # End Function number 7
> # Begin Function number 8
> adjust_for_pole := proc(h_param)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #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_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 1
> tmp := omniabs(array_y_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1;
> if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1
> sz2 := array_pole[1]/10.0;
> if (sz2 < hnew) then # if number 2
> omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity.");
> omniout_str(INFO,"Reached Optimal");
> return(hnew);
> fi;# end if 2
> fi;# end if 1;
> if ( not glob_reached_optimal_h) then # if number 1
> glob_reached_optimal_h := true;
> glob_curr_iter_when_opt := glob_current_iter;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> glob_optimal_start := array_x[1];
> fi;# end if 1;
> hnew := sz2;
> ;#END block
> return(hnew);
> #BOTTOM ADJUST FOR POLE
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, 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_a1, array_tmp4_a2,
array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < omniabs(array_y_higher[1, 1]) then
tmp := omniabs(array_y_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and
array_pole[1] <> glob_large_float then
sz2 := array_pole[1]/10.0;
if sz2 < hnew then
omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity.");
omniout_str(INFO, "Reached Optimal");
return hnew
end if
end if;
if not glob_reached_optimal_h then
glob_reached_optimal_h := true;
glob_curr_iter_when_opt := glob_current_iter;
glob_optimal_clock_start_sec := elapsed_time_seconds();
glob_optimal_start := array_x[1]
end if;
hnew := sz2;
return hnew
end proc
> # End Function number 8
> # Begin Function number 9
> prog_report := proc(x_start,x_end)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #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_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec;
> #TOP PROGRESS REPORT
> clock_sec1 := elapsed_time_seconds();
> total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
> glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
> left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1);
> expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec));
> opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec);
> glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec));
> glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
> percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h));
> glob_percent_done := percent_done;
> omniout_str_noeol(INFO,"Total Elapsed Time ");
> omniout_timestr(convfloat(total_clock_sec));
> omniout_str_noeol(INFO,"Elapsed Time(since restart) ");
> omniout_timestr(convfloat(glob_clock_sec));
> if (convfloat(percent_done) < convfloat(100.0)) then # if number 1
> omniout_str_noeol(INFO,"Expected Time Remaining ");
> omniout_timestr(convfloat(expect_sec));
> omniout_str_noeol(INFO,"Optimized Time Remaining ");
> omniout_timestr(convfloat(glob_optimal_expect_sec));
> omniout_str_noeol(INFO,"Expected Total Time ");
> omniout_timestr(convfloat(glob_total_exp_sec));
> fi;# end if 1;
> omniout_str_noeol(INFO,"Time to Timeout ");
> omniout_timestr(convfloat(left_sec));
> omniout_float(INFO, "Percent Done ",33,percent_done,4,"%");
> #BOTTOM PROGRESS REPORT
> end;
prog_report := proc(x_start, x_end)
local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec,
percent_done, total_clock_sec;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, 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_a1, array_tmp4_a2,
array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
clock_sec1 := elapsed_time_seconds();
total_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
glob_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec)
- convfloat(clock_sec1);
expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h),
convfloat(clock_sec1) - convfloat(glob_orig_start_sec));
opt_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec);
glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),
convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h),
convfloat(opt_clock_sec));
glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
percent_done := comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h));
glob_percent_done := percent_done;
omniout_str_noeol(INFO, "Total Elapsed Time ");
omniout_timestr(convfloat(total_clock_sec));
omniout_str_noeol(INFO, "Elapsed Time(since restart) ");
omniout_timestr(convfloat(glob_clock_sec));
if convfloat(percent_done) < convfloat(100.0) then
omniout_str_noeol(INFO, "Expected Time Remaining ");
omniout_timestr(convfloat(expect_sec));
omniout_str_noeol(INFO, "Optimized Time Remaining ");
omniout_timestr(convfloat(glob_optimal_expect_sec));
omniout_str_noeol(INFO, "Expected Total Time ");
omniout_timestr(convfloat(glob_total_exp_sec))
end if;
omniout_str_noeol(INFO, "Time to Timeout ");
omniout_timestr(convfloat(left_sec));
omniout_float(INFO, "Percent Done ", 33,
percent_done, 4, "%")
end proc
> # End Function number 9
> # Begin Function number 10
> check_for_pole := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #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_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found, h_new, ratio, term;
> #TOP CHECK FOR POLE
> #IN RADII REAL EQ = 1
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1
> #Applies to pole of arbitrary r_order on the real axis,
> #Due to Prof. George Corliss.
> n := glob_max_terms;
> m := n - 1 - 1;
> while ((m >= 10) and ((omniabs(array_y_higher[1,m]) < glob_small_float) or (omniabs(array_y_higher[1,m-1]) < glob_small_float) or (omniabs(array_y_higher[1,m-2]) < glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2;
> if (m > 10) then # if number 1
> rm0 := array_y_higher[1,m]/array_y_higher[1,m-1];
> rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2];
> hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1;
> if (omniabs(hdrc) > glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0;
> array_real_pole[1,1] := rcs;
> array_real_pole[1,2] := ord_no;
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 1;
> #BOTTOM RADII REAL EQ = 1
> #TOP RADII COMPLEX EQ = 1
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 1 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (omniabs(array_y_higher[1,n]) > glob_small_float) then # if number 1
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 1;
> n := n - 1;
> od;# end do number 2;
> m := n + cnt;
> if (m <= 10) then # if number 1
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> elif
> (((omniabs(array_y_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_y_higher[1,m]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_y_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-5]) <= (glob_small_float)))) then # if number 2
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]);
> rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]);
> rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]);
> rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]);
> rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(dr1) <= glob_small_float)) then # if number 3
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4
> rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
> #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
> ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0;
> if (omniabs(rcs) > glob_small_float) then # if number 5
> if (rcs > 0.0) then # if number 6
> rad_c := sqrt(rcs) * omniabs(glob_h);
> else
> rad_c := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 4
> fi;# end if 3;
> array_complex_pole[1,1] := rad_c;
> array_complex_pole[1,2] := ord_no;
> fi;# end if 2;
> #BOTTOM RADII COMPLEX EQ = 1
> found := false;
> #TOP WHICH RADII EQ = 1
> if ( not found and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> found := true;
> array_type_pole[1] := 2;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0)))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float)))) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> found := true;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> array_type_pole[1] := 2;
> found := true;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found ) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3;
> fi;# end if 2;
> #BOTTOM WHICH RADII EQ = 1
> array_pole[1] := glob_large_float;
> array_pole[2] := glob_large_float;
> #TOP WHICH RADIUS EQ = 1
> if (array_pole[1] > array_poles[1,1]) then # if number 2
> array_pole[1] := array_poles[1,1];
> array_pole[2] := array_poles[1,2];
> fi;# end if 2;
> #BOTTOM WHICH RADIUS EQ = 1
> #START ADJUST ALL SERIES
> if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 2
> h_new := array_pole[1] * glob_ratio_of_radius;
> term := 1;
> ratio := 1.0;
> while (term <= glob_max_terms) do # do number 2
> array_y[term] := array_y[term]* ratio;
> array_y_higher[1,term] := array_y_higher[1,term]* ratio;
> array_x[term] := array_x[term]* ratio;
> ratio := ratio * h_new / omniabs(glob_h);
> term := term + 1;
> od;# end do number 2;
> glob_h := h_new;
> fi;# end if 2;
> #BOTTOM ADJUST ALL SERIES
> if (reached_interval()) then # if number 2
> display_pole();
> fi;# end if 2
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs,
rm0, rm1, rm2, rm3, rm4, found, h_new, ratio, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, 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_a1, array_tmp4_a2,
array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (omniabs(array_y_higher[1, m]) < glob_small_float or
omniabs(array_y_higher[1, m - 1]) < glob_small_float or
omniabs(array_y_higher[1, m - 2]) < glob_small_float) do m := m - 1
end do;
if 10 < m then
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1;
if glob_small_float < omniabs(hdrc) then
rcs := glob_h/hdrc;
ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0;
array_real_pole[1, 1] := rcs;
array_real_pole[1, 2] := ord_no
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < omniabs(array_y_higher[1, n]) then
cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then rad_c := glob_large_float; ord_no := glob_large_float
elif glob_large_float <= omniabs(array_y_higher[1, m]) or
glob_large_float <= omniabs(array_y_higher[1, m - 1]) or
glob_large_float <= omniabs(array_y_higher[1, m - 2]) or
glob_large_float <= omniabs(array_y_higher[1, m - 3]) or
glob_large_float <= omniabs(array_y_higher[1, m - 4]) or
glob_large_float <= omniabs(array_y_higher[1, m - 5]) or
omniabs(array_y_higher[1, m]) <= glob_small_float or
omniabs(array_y_higher[1, m - 1]) <= glob_small_float or
omniabs(array_y_higher[1, m - 2]) <= glob_small_float or
omniabs(array_y_higher[1, m - 3]) <= glob_small_float or
omniabs(array_y_higher[1, m - 4]) <= glob_small_float or
omniabs(array_y_higher[1, m - 5]) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3];
rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4];
rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or
omniabs(dr1) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
if glob_small_float < omniabs(nr1*dr2 - nr2*dr1) then
rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1);
ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0;
if glob_small_float < omniabs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*omniabs(glob_h)
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_pole[1, 1] := rad_c;
array_complex_pole[1, 2] := ord_no
end if;
found := false;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and
array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
found := true;
array_type_pole[1] := 2;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if
end if;
if not found and array_real_pole[1, 1] <> glob_large_float and
array_real_pole[1, 2] <> glob_large_float and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float or
array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if
end if;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float) then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
found := true;
array_type_pole[1] := 3;
if reached_interval() then omniout_str(ALWAYS, "NO POLE") end if
end if;
if not found and array_real_pole[1, 1] < array_complex_pole[1, 1] and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if
end if;
if not found and array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
array_type_pole[1] := 2;
found := true;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if
end if;
if not found then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
array_type_pole[1] := 3;
if reached_interval() then omniout_str(ALWAYS, "NO POLE") end if
end if;
array_pole[1] := glob_large_float;
array_pole[2] := glob_large_float;
if array_poles[1, 1] < array_pole[1] then
array_pole[1] := array_poles[1, 1];
array_pole[2] := array_poles[1, 2]
end if;
if array_pole[1]*glob_ratio_of_radius < omniabs(glob_h) then
h_new := array_pole[1]*glob_ratio_of_radius;
term := 1;
ratio := 1.0;
while term <= glob_max_terms do
array_y[term] := array_y[term]*ratio;
array_y_higher[1, term] := array_y_higher[1, term]*ratio;
array_x[term] := array_x[term]*ratio;
ratio := ratio*h_new/omniabs(glob_h);
term := term + 1
end do;
glob_h := h_new
end if;
if reached_interval() then display_pole() end if
end proc
> # End Function number 10
> # Begin Function number 11
> get_norms := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #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_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local iii;
> if ( not glob_initial_pass) then # if number 2
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> array_norms[iii] := 0.0;
> iii := iii + 1;
> od;# end do number 2;
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 3
> array_norms[iii] := omniabs(array_y[iii]);
> fi;# end if 3;
> iii := iii + 1;
> od;# end do number 2
> #BOTTOM GET NORMS
> ;
> fi;# end if 2;
> end;
get_norms := proc()
local iii;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, 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_a1, array_tmp4_a2,
array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
if not glob_initial_pass then
iii := 1;
while iii <= glob_max_terms do
array_norms[iii] := 0.; iii := iii + 1
end do;
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < omniabs(array_y[iii]) then
array_norms[iii] := omniabs(array_y[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # End Function number 11
> # Begin Function number 12
> atomall := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #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_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local kkk, order_d, adj2, adj3 , temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 1
> array_tmp1[1] := array_const_0D1[1] * array_x[1];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 1
> array_tmp2[1] := array_tmp1[1] + array_const_0D2[1];
> #emit pre sqrt 1 $eq_no = 1
> array_tmp3[1] := sqrt(array_tmp2[1]);
> #emit pre arctan $eq_no = 1
> array_tmp4[1] := arctan(array_tmp3[1]);
> array_tmp4_a1[1] := sin(array_tmp4[1]);
> array_tmp4_a2[1] := cos(array_tmp4[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp5[1] := array_const_0D0[1] + array_tmp4[1];
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if ( not array_y_set_initial[1,2]) then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp5[1] * expt(glob_h , (1)) * factorial_3(0,1);
> array_y[2] := temporary;
> array_y_higher[1,2] := temporary;
> temporary := temporary / glob_h * (1.0);
> array_y_higher[2,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 2
> array_tmp1[2] := array_const_0D1[1] * array_x[2];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2];
> #emit pre sqrt 2 $eq_no = 1
> array_tmp3[2] := array_tmp2[2] / array_tmp3[1]/2.0;
> #emit pre arctan $eq_no = 1
> array_tmp4[2] := (ats(2,array_tmp3,array_tmp4_a2,2) - array_tmp3[1] * att(1,array_tmp4_a1,array_tmp4,2) - att(1,array_tmp4_a2,array_tmp4,2)) / (array_tmp4_a2[1] + array_tmp3[1] * array_tmp4_a1[1]);
> array_tmp4_a1[2] := att(1,array_tmp4_a2,array_tmp4,1);
> array_tmp4_a2[2] := -att(1,array_tmp4_a1,array_tmp4,1);
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp5[2] := array_tmp4[2];
> #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if ( not array_y_set_initial[1,3]) then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp5[2] * expt(glob_h , (1)) * factorial_3(1,2);
> array_y[3] := temporary;
> array_y_higher[1,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> #emit pre sqrt ID_LINEAR iii = 3 $eq_no = 1
> array_tmp3[3] := 0.0;
> array_tmp3[3] := -ats(3,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0;
> #emit pre arctan $eq_no = 1
> array_tmp4[3] := (ats(3,array_tmp3,array_tmp4_a2,2) - array_tmp3[1] * att(2,array_tmp4_a1,array_tmp4,2) - att(2,array_tmp4_a2,array_tmp4,2)) / (array_tmp4_a2[1] + array_tmp3[1] * array_tmp4_a1[1]);
> array_tmp4_a1[3] := att(2,array_tmp4_a2,array_tmp4,1);
> array_tmp4_a2[3] := -att(2,array_tmp4_a1,array_tmp4,1);
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp5[3] := array_tmp4[3];
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if ( not array_y_set_initial[1,4]) then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp5[3] * expt(glob_h , (1)) * factorial_3(2,3);
> array_y[4] := temporary;
> array_y_higher[1,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y_higher[2,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> #emit pre sqrt ID_LINEAR iii = 4 $eq_no = 1
> array_tmp3[4] := 0.0;
> array_tmp3[4] := -ats(4,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0;
> #emit pre arctan $eq_no = 1
> array_tmp4[4] := (ats(4,array_tmp3,array_tmp4_a2,2) - array_tmp3[1] * att(3,array_tmp4_a1,array_tmp4,2) - att(3,array_tmp4_a2,array_tmp4,2)) / (array_tmp4_a2[1] + array_tmp3[1] * array_tmp4_a1[1]);
> array_tmp4_a1[4] := att(3,array_tmp4_a2,array_tmp4,1);
> array_tmp4_a2[4] := -att(3,array_tmp4_a1,array_tmp4,1);
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp5[4] := array_tmp4[4];
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if ( not array_y_set_initial[1,5]) then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp5[4] * expt(glob_h , (1)) * factorial_3(3,4);
> array_y[5] := temporary;
> array_y_higher[1,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y_higher[2,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> #emit pre sqrt ID_LINEAR iii = 5 $eq_no = 1
> array_tmp3[5] := 0.0;
> array_tmp3[5] := -ats(5,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0;
> #emit pre arctan $eq_no = 1
> array_tmp4[5] := (ats(5,array_tmp3,array_tmp4_a2,2) - array_tmp3[1] * att(4,array_tmp4_a1,array_tmp4,2) - att(4,array_tmp4_a2,array_tmp4,2)) / (array_tmp4_a2[1] + array_tmp3[1] * array_tmp4_a1[1]);
> array_tmp4_a1[5] := att(4,array_tmp4_a2,array_tmp4,1);
> array_tmp4_a2[5] := -att(4,array_tmp4_a1,array_tmp4,1);
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp5[5] := array_tmp4[5];
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if ( not array_y_set_initial[1,6]) then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp5[5] * expt(glob_h , (1)) * factorial_3(4,5);
> array_y[6] := temporary;
> array_y_higher[1,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y_higher[2,5] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 6;
> #END ATOMHDR5
> #BEGIN OUTFILE3
> #Top Atomall While Loop-- outfile3
> while (kkk <= glob_max_terms) do # do number 1
> #END OUTFILE3
> #BEGIN OUTFILE4
> #emit sqrt LINEAR $eq_no = 1
> array_tmp3[kkk] := 0.0;
> array_tmp3[kkk] := -ats(kkk,array_tmp3,array_tmp3,2) /array_tmp3[1] / 2.0;
> #emit atan $eq_no = 1
> array_tmp4[kkk] := (ats(kkk,array_tmp3,array_tmp4_a2,2) - array_tmp3[1] * att(kkk-1,array_tmp4_a1,array_tmp4,2) - att(kkk-1,array_tmp4_a2,array_tmp4,2))/(array_tmp4_a2[1] + array_tmp3[1] * array_tmp4_a1[1]);
> array_tmp4_a1[kkk] := att(kkk-1,array_tmp4_a2,array_tmp4,1);
> array_tmp4_a2[kkk] := -att(kkk-1,array_tmp4_a1,array_tmp4,1);
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp5[kkk] := array_tmp4[kkk];
> #emit assign $eq_no = 1
> order_d := 1;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2
> temporary := array_tmp5[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1));
> array_y[kkk + order_d] := temporary;
> array_y_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := kkk + order_d - 1;
> adj3 := 2;
> while (term >= 1) do # do number 2
> if (adj3 <= order_d + 1) then # if number 3
> if (adj2 > 0) then # if number 4
> temporary := temporary / glob_h * convfp(adj2);
> else
> temporary := temporary;
> fi;# end if 4;
> array_y_higher[adj3,term] := temporary;
> fi;# end if 3;
> term := term - 1;
> adj2 := adj2 - 1;
> adj3 := adj3 + 1;
> od;# end do number 2
> fi;# end if 2
> fi;# end if 1;
> kkk := kkk + 1;
> od;# end do number 1;
> #BOTTOM ATOMALL
> #END OUTFILE4
> #BEGIN OUTFILE5
> #BOTTOM ATOMALL ???
> end;
atomall := proc()
local kkk, order_d, adj2, adj3, temporary, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, 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_a1, array_tmp4_a2,
array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
array_tmp1[1] := array_const_0D1[1]*array_x[1];
array_tmp2[1] := array_tmp1[1] + array_const_0D2[1];
array_tmp3[1] := sqrt(array_tmp2[1]);
array_tmp4[1] := arctan(array_tmp3[1]);
array_tmp4_a1[1] := sin(array_tmp4[1]);
array_tmp4_a2[1] := cos(array_tmp4[1]);
array_tmp5[1] := array_const_0D0[1] + array_tmp4[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp5[1]*expt(glob_h, 1)*factorial_3(0, 1);
array_y[2] := temporary;
array_y_higher[1, 2] := temporary;
temporary := temporary*1.0/glob_h;
array_y_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := array_const_0D1[1]*array_x[2];
array_tmp2[2] := array_tmp1[2];
array_tmp3[2] := array_tmp2[2]/(array_tmp3[1]*2.0);
array_tmp4[2] := (ats(2, array_tmp3, array_tmp4_a2, 2)
- array_tmp3[1]*att(1, array_tmp4_a1, array_tmp4, 2)
- att(1, array_tmp4_a2, array_tmp4, 2))/(
array_tmp4_a2[1] + array_tmp3[1]*array_tmp4_a1[1]);
array_tmp4_a1[2] := att(1, array_tmp4_a2, array_tmp4, 1);
array_tmp4_a2[2] := -att(1, array_tmp4_a1, array_tmp4, 1);
array_tmp5[2] := array_tmp4[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp5[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_y[3] := temporary;
array_y_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp3[3] := 0.;
array_tmp3[3] := -ats(3, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0)
;
array_tmp4[3] := (ats(3, array_tmp3, array_tmp4_a2, 2)
- array_tmp3[1]*att(2, array_tmp4_a1, array_tmp4, 2)
- att(2, array_tmp4_a2, array_tmp4, 2))/(
array_tmp4_a2[1] + array_tmp3[1]*array_tmp4_a1[1]);
array_tmp4_a1[3] := att(2, array_tmp4_a2, array_tmp4, 1);
array_tmp4_a2[3] := -att(2, array_tmp4_a1, array_tmp4, 1);
array_tmp5[3] := array_tmp4[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp5[3]*expt(glob_h, 1)*factorial_3(2, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp3[4] := 0.;
array_tmp3[4] := -ats(4, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0)
;
array_tmp4[4] := (ats(4, array_tmp3, array_tmp4_a2, 2)
- array_tmp3[1]*att(3, array_tmp4_a1, array_tmp4, 2)
- att(3, array_tmp4_a2, array_tmp4, 2))/(
array_tmp4_a2[1] + array_tmp3[1]*array_tmp4_a1[1]);
array_tmp4_a1[4] := att(3, array_tmp4_a2, array_tmp4, 1);
array_tmp4_a2[4] := -att(3, array_tmp4_a1, array_tmp4, 1);
array_tmp5[4] := array_tmp4[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp5[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp3[5] := 0.;
array_tmp3[5] := -ats(5, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0)
;
array_tmp4[5] := (ats(5, array_tmp3, array_tmp4_a2, 2)
- array_tmp3[1]*att(4, array_tmp4_a1, array_tmp4, 2)
- att(4, array_tmp4_a2, array_tmp4, 2))/(
array_tmp4_a2[1] + array_tmp3[1]*array_tmp4_a1[1]);
array_tmp4_a1[5] := att(4, array_tmp4_a2, array_tmp4, 1);
array_tmp4_a2[5] := -att(4, array_tmp4_a1, array_tmp4, 1);
array_tmp5[5] := array_tmp4[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp5[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp3[kkk] := 0.;
array_tmp3[kkk] :=
-ats(kkk, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0);
array_tmp4[kkk] := (ats(kkk, array_tmp3, array_tmp4_a2, 2)
- array_tmp3[1]*att(kkk - 1, array_tmp4_a1, array_tmp4, 2)
- att(kkk - 1, array_tmp4_a2, array_tmp4, 2))/(
array_tmp4_a2[1] + array_tmp3[1]*array_tmp4_a1[1]);
array_tmp4_a1[kkk] := att(kkk - 1, array_tmp4_a2, array_tmp4, 1);
array_tmp4_a2[kkk] := -att(kkk - 1, array_tmp4_a1, array_tmp4, 1);
array_tmp5[kkk] := array_tmp4[kkk];
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y_set_initial[1, kkk + order_d] then
temporary := array_tmp5[kkk]*expt(glob_h, order_d)*
factorial_3(kkk - 1, kkk + order_d - 1);
array_y[kkk + order_d] := temporary;
array_y_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := kkk + order_d - 1;
adj3 := 2;
while 1 <= term do
if adj3 <= order_d + 1 then
if 0 < adj2 then
temporary := temporary*convfp(adj2)/glob_h
else temporary := temporary
end if;
array_y_higher[adj3, term] := temporary
end if;
term := term - 1;
adj2 := adj2 - 1;
adj3 := adj3 + 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> # End Function number 12
> #BEGIN ATS LIBRARY BLOCK
> # Begin Function number 2
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s\n",str);
> fi;# end if 1;
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s\n", str) end if
end proc
> # End Function number 2
> # Begin Function number 3
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s",str);
> fi;# end if 1;
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> # End Function number 3
> # Begin Function number 4
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> print(label,str);
> fi;# end if 1;
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> # End Function number 4
> # Begin Function number 5
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> if vallen = 4 then
> printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel);
> else
> printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 4 then
printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel)
else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 5
> # Begin Function number 6
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> if vallen = 5 then # if number 1
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 5 then
printf("%-30s = %-32d %s\n", prelabel, value, postlabel)
else printf("%-30s = %-32d %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 6
> # Begin Function number 7
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;# end if 0;
> end;
omniout_float_arr := proc(
iolevel, prelabel, elemnt, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
print(prelabel, "[", elemnt, "]", value, postlabel)
end if
end proc
> # End Function number 7
> # Begin Function number 8
> dump_series := proc(iolevel,dump_label,series_name,arr_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then # if number 0
> i := 1;
> while (i <= numb) do # do number 1
> print(dump_label,series_name
> ,i,arr_series[i]);
> i := i + 1;
> od;# end do number 1
> fi;# end if 0
> end;
dump_series := proc(iolevel, dump_label, series_name, arr_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, arr_series[i]); i := i + 1
end do
end if
end proc
> # End Function number 8
> # Begin Function number 9
> dump_series_2 := proc(iolevel,dump_label,series_name2,arr_series2,numb,subnum,arr_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then # if number 0
> sub := 1;
> while (sub <= subnum) do # do number 1
> i := 1;
> while (i <= numb) do # do number 2
> print(dump_label,series_name2,sub,i,arr_series2[sub,i]);
> od;# end do number 2;
> sub := sub + 1;
> od;# end do number 1;
> fi;# end if 0;
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x)
local i, sub, ts_term;
global glob_iolevel;
if iolevel <= glob_iolevel then
sub := 1;
while sub <= subnum do
i := 1;
while i <= numb do print(dump_label, series_name2, sub, i,
arr_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> # End Function number 9
> # Begin Function number 10
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= iolevel) then # if number 0
> print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h)
> fi;# end if 0;
> end;
cs_info := proc(iolevel, str)
global
glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h;
if iolevel <= glob_iolevel then print("cs_info ", str,
" glob_correct_start_flag = ", glob_correct_start_flag,
"glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h)
end if
end proc
> # End Function number 10
> # Begin Function number 11
> logitem_time := proc(fd,secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> fprintf(fd,"
");
> if (secs_in >= 0) then # if number 0
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 1
> fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 2
> fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 3
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 4
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 4
> else
> fprintf(fd," Unknown");
> fi;# end if 3
> fprintf(fd," | \n");
> end;
logitem_time := proc(fd, secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
fprintf(fd, "");
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then fprintf(fd,
"%d Years %d Days %d Hours %d Minutes %d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then fprintf(fd,
"%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int,
minutes_int, sec_int)
elif 0 < hours_int then fprintf(fd,
"%d Hours %d Minutes %d Seconds", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int)
else fprintf(fd, "%d Seconds", sec_int)
end if
else fprintf(fd, " Unknown")
end if;
fprintf(fd, " | \n")
end proc
> # End Function number 11
> # Begin Function number 12
> omniout_timestr := proc(secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> if (secs_in >= 0) then # if number 3
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 4
> printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 5
> printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 6
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 7
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 7
> else
> printf(" Unknown\n");
> fi;# end if 6
> end;
omniout_timestr := proc(secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then printf(
" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",
years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then printf(
" = %d Days %d Hours %d Minutes %d Seconds\n", days_int,
hours_int, minutes_int, sec_int)
elif 0 < hours_int then printf(
" = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int)
else printf(" = %d Seconds\n", sec_int)
end if
else printf(" Unknown\n")
end if
end proc
> # End Function number 12
> # Begin Function number 13
> ats := proc(mmm_ats,arr_a,arr_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 6
> ma_ats := mmm_ats + 1;
> iii_ats := jjj_ats;
> while (iii_ats <= mmm_ats) do # do number 1
> lll_ats := ma_ats - iii_ats;
> ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 6;
> ret_ats;
> end;
ats := proc(mmm_ats, arr_a, arr_b, jjj_ats)
local iii_ats, lll_ats, ma_ats, ret_ats;
ret_ats := 0.;
if jjj_ats <= mmm_ats then
ma_ats := mmm_ats + 1;
iii_ats := jjj_ats;
while iii_ats <= mmm_ats do
lll_ats := ma_ats - iii_ats;
ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
> # End Function number 13
> # Begin Function number 14
> att := proc(mmm_att,arr_aa,arr_bb,jjj_att)
> global glob_max_terms;
> local al_att, iii_att,lll_att, ma_att, ret_att;
> ret_att := 0.0;
> if (jjj_att <= mmm_att) then # if number 6
> ma_att := mmm_att + 2;
> iii_att := jjj_att;
> while (iii_att <= mmm_att) do # do number 1
> lll_att := ma_att - iii_att;
> al_att := (lll_att - 1);
> if (lll_att <= glob_max_terms) then # if number 7
> ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]* convfp(al_att);
> fi;# end if 7;
> iii_att := iii_att + 1;
> od;# end do number 1;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 6;
> ret_att;
> end;
att := proc(mmm_att, arr_aa, arr_bb, jjj_att)
local al_att, iii_att, lll_att, ma_att, ret_att;
global glob_max_terms;
ret_att := 0.;
if jjj_att <= mmm_att then
ma_att := mmm_att + 2;
iii_att := jjj_att;
while iii_att <= mmm_att do
lll_att := ma_att - iii_att;
al_att := lll_att - 1;
if lll_att <= glob_max_terms then ret_att :=
ret_att + arr_aa[iii_att]*arr_bb[lll_att]*convfp(al_att)
end if;
iii_att := iii_att + 1
end do;
ret_att := ret_att/convfp(mmm_att)
end if;
ret_att
end proc
> # End Function number 14
> # Begin Function number 15
> display_pole := proc()
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 6
> omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," ");
> omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," ");
> fi;# end if 6
> end;
display_pole := proc()
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if array_pole[1] <> glob_large_float and 0. < array_pole[1] and
array_pole[2] <> glob_large_float and 0. < array_pole[2] and
glob_display_flag then
omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole[1], 4, " ");
omniout_float(ALWAYS, "Order of pole ", 4,
array_pole[2], 4, " ")
end if
end proc
> # End Function number 15
> # Begin Function number 16
> logditto := proc(file)
> fprintf(file,"");
> fprintf(file,"ditto");
> fprintf(file," | ");
> end;
logditto := proc(file)
fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, " | ")
end proc
> # End Function number 16
> # Begin Function number 17
> logitem_integer := proc(file,n)
> fprintf(file,"");
> fprintf(file,"%d",n);
> fprintf(file," | ");
> end;
logitem_integer := proc(file, n)
fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, " | ")
end proc
> # End Function number 17
> # Begin Function number 18
> logitem_str := proc(file,str)
> fprintf(file,"");
> fprintf(file,str);
> fprintf(file," | ");
> end;
logitem_str := proc(file, str)
fprintf(file, ""); fprintf(file, str); fprintf(file, " | ")
end proc
> # End Function number 18
> # Begin Function number 19
> logitem_good_digits := proc(file,rel_error)
> global glob_small_float;
> local good_digits;
> fprintf(file,"");
> if (rel_error <> -1.0) then # if number 6
> if (rel_error > + 0.0000000000000000000000000000000001) then # if number 7
> good_digits := 1-trunc(log10(rel_error));
> fprintf(file,"%d",good_digits);
> else
> good_digits := Digits;
> fprintf(file,"%d",good_digits);
> fi;# end if 7;
> else
> fprintf(file,"Unknown");
> fi;# end if 6;
> fprintf(file," | ");
> end;
logitem_good_digits := proc(file, rel_error)
local good_digits;
global glob_small_float;
fprintf(file, "");
if rel_error <> -1.0 then
if 0.1*10^(-33) < rel_error then
good_digits := 1 - trunc(log10(rel_error));
fprintf(file, "%d", good_digits)
else good_digits := Digits; fprintf(file, "%d", good_digits)
end if
else fprintf(file, "Unknown")
end if;
fprintf(file, " | ")
end proc
> # End Function number 19
> # Begin Function number 20
> log_revs := proc(file,revs)
> fprintf(file,revs);
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # End Function number 20
> # Begin Function number 21
> logitem_float := proc(file,x)
> fprintf(file,"");
> fprintf(file,"%g",x);
> fprintf(file," | ");
> end;
logitem_float := proc(file, x)
fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, " | ")
end proc
> # End Function number 21
> # Begin Function number 22
> logitem_pole := proc(file,pole)
> fprintf(file,"");
> if (pole = 0) then # if number 6
> fprintf(file,"NA");
> elif
> (pole = 1) then # if number 7
> fprintf(file,"Real");
> elif
> (pole = 2) then # if number 8
> fprintf(file,"Complex");
> else
> fprintf(file,"No Pole");
> fi;# end if 8
> fprintf(file," | ");
> end;
logitem_pole := proc(file, pole)
fprintf(file, "");
if pole = 0 then fprintf(file, "NA")
elif pole = 1 then fprintf(file, "Real")
elif pole = 2 then fprintf(file, "Complex")
else fprintf(file, "No Pole")
end if;
fprintf(file, " | ")
end proc
> # End Function number 22
> # Begin Function number 23
> logstart := proc(file)
> fprintf(file,"");
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # End Function number 23
> # Begin Function number 24
> logend := proc(file)
> fprintf(file,"
\n");
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # End Function number 24
> # Begin Function number 25
> chk_data := proc()
> global glob_max_iter,ALWAYS, glob_max_terms;
> local errflag;
> errflag := false;
> if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 8
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 8;
> if (glob_max_iter < 2) then # if number 8
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 8;
> if (errflag) then # if number 8
> quit;
> fi;# end if 8
> end;
chk_data := proc()
local errflag;
global glob_max_iter, ALWAYS, glob_max_terms;
errflag := false;
if glob_max_terms < 15 or 512 < glob_max_terms then
omniout_str(ALWAYS, "Illegal max_terms = -- Using 30");
glob_max_terms := 30
end if;
if glob_max_iter < 2 then
omniout_str(ALWAYS, "Illegal max_iter"); errflag := true
end if;
if errflag then quit end if
end proc
> # End Function number 25
> # Begin Function number 26
> comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2)
> global glob_small_float;
> local ms2, rrr, sec_left, sub1, sub2;
> ;
> ms2 := clock_sec2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub1 = 0.0) then # if number 8
> sec_left := 0.0;
> else
> if (sub2 > 0.0) then # if number 9
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 9
> fi;# end if 8;
> sec_left;
> end;
comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2)
local ms2, rrr, sec_left, sub1, sub2;
global glob_small_float;
ms2 := clock_sec2;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if sub1 = 0. then sec_left := 0.
else
if 0. < sub2 then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2
else sec_left := 0.
end if
end if;
sec_left
end proc
> # End Function number 26
> # Begin Function number 27
> comp_percent := proc(t_end2,t_start2, t2)
> global glob_small_float;
> local rrr, sub1, sub2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub2 > glob_small_float) then # if number 8
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 8;
> rrr;
> end;
comp_percent := proc(t_end2, t_start2, t2)
local rrr, sub1, sub2;
global glob_small_float;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if glob_small_float < sub2 then rrr := 100.0*sub2/sub1
else rrr := 0.
end if;
rrr
end proc
> # End Function number 27
> # Begin Function number 28
> factorial_2 := proc(nnn)
> nnn!;
> end;
factorial_2 := proc(nnn) nnn! end proc
> # End Function number 28
> # Begin Function number 29
> factorial_1 := proc(nnn)
> global glob_max_terms,array_fact_1;
> local ret;
> if (nnn <= glob_max_terms) then # if number 8
> if (array_fact_1[nnn] = 0) then # if number 9
> ret := factorial_2(nnn);
> array_fact_1[nnn] := ret;
> else
> ret := array_fact_1[nnn];
> fi;# end if 9;
> else
> ret := factorial_2(nnn);
> fi;# end if 8;
> ret;
> end;
factorial_1 := proc(nnn)
local ret;
global glob_max_terms, array_fact_1;
if nnn <= glob_max_terms then
if array_fact_1[nnn] = 0 then
ret := factorial_2(nnn); array_fact_1[nnn] := ret
else ret := array_fact_1[nnn]
end if
else ret := factorial_2(nnn)
end if;
ret
end proc
> # End Function number 29
> # Begin Function number 30
> factorial_3 := proc(mmm,nnn)
> global glob_max_terms,array_fact_2;
> local ret;
> if ((nnn <= glob_max_terms) and (mmm <= glob_max_terms)) then # if number 8
> if (array_fact_2[mmm,nnn] = 0) then # if number 9
> ret := factorial_1(mmm)/factorial_1(nnn);
> array_fact_2[mmm,nnn] := ret;
> else
> ret := array_fact_2[mmm,nnn];
> fi;# end if 9;
> else
> ret := factorial_2(mmm)/factorial_2(nnn);
> fi;# end if 8;
> ret;
> end;
factorial_3 := proc(mmm, nnn)
local ret;
global glob_max_terms, array_fact_2;
if nnn <= glob_max_terms and mmm <= glob_max_terms then
if array_fact_2[mmm, nnn] = 0 then
ret := factorial_1(mmm)/factorial_1(nnn);
array_fact_2[mmm, nnn] := ret
else ret := array_fact_2[mmm, nnn]
end if
else ret := factorial_2(mmm)/factorial_2(nnn)
end if;
ret
end proc
> # End Function number 30
> # Begin Function number 31
> convfp := proc(mmm)
> (mmm);
> end;
convfp := proc(mmm) mmm end proc
> # End Function number 31
> # Begin Function number 32
> convfloat := proc(mmm)
> (mmm);
> end;
convfloat := proc(mmm) mmm end proc
> # End Function number 32
> # Begin Function number 33
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
> # End Function number 33
> # Begin Function number 34
> omniabs := proc(x)
> abs(x);
> end;
omniabs := proc(x) abs(x) end proc
> # End Function number 34
> # Begin Function number 35
> expt := proc(x,y)
> (x^y);
> end;
expt := proc(x, y) x^y end proc
> # End Function number 35
> # Begin Function number 36
> estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer)
> local desired_abs_gbl_error,range,estimated_steps,step_error;
> global glob_desired_digits_correct,ALWAYS;
> omniout_float(ALWAYS,"glob_desired_digits_correct",32,glob_desired_digits_correct,32,"");
> desired_abs_gbl_error := expt(10.0,- glob_desired_digits_correct) * omniabs(estimated_answer);
> omniout_float(ALWAYS,"desired_abs_gbl_error",32,desired_abs_gbl_error,32,"");
> range := (x_end - x_start);
> omniout_float(ALWAYS,"range",32,range,32,"");
> estimated_steps := range / estimated_h;
> omniout_float(ALWAYS,"estimated_steps",32,estimated_steps,32,"");
> step_error := omniabs(desired_abs_gbl_error / estimated_steps);
> omniout_float(ALWAYS,"step_error",32,step_error,32,"");
> (step_error);;
> end;
estimated_needed_step_error := proc(
x_start, x_end, estimated_h, estimated_answer)
local desired_abs_gbl_error, range, estimated_steps, step_error;
global glob_desired_digits_correct, ALWAYS;
omniout_float(ALWAYS, "glob_desired_digits_correct", 32,
glob_desired_digits_correct, 32, "");
desired_abs_gbl_error :=
expt(10.0, -glob_desired_digits_correct)*omniabs(estimated_answer);
omniout_float(ALWAYS, "desired_abs_gbl_error", 32,
desired_abs_gbl_error, 32, "");
range := x_end - x_start;
omniout_float(ALWAYS, "range", 32, range, 32, "");
estimated_steps := range/estimated_h;
omniout_float(ALWAYS, "estimated_steps", 32, estimated_steps, 32, "");
step_error := omniabs(desired_abs_gbl_error/estimated_steps);
omniout_float(ALWAYS, "step_error", 32, step_error, 32, "");
step_error
end proc
> # End Function number 36
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y := proc(x)
> return(10.0 * (0.1 * x + 0.2) * arctan(sqrt ( 0.1 * x + 0.2)) - 10.0 * sqrt( 0.1 * x +
> 0.2) + 10.0 * arctan(sqrt( 0.1 * x + 0.2)));
> end;
exact_soln_y := proc(x)
return 10.0*(0.1*x + 0.2)*arctan(sqrt(0.1*x + 0.2))
- 10.0*sqrt(0.1*x + 0.2) + 10.0*arctan(sqrt(0.1*x + 0.2))
end proc
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> main := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,iiif,jjjf,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, log10norm, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h,repeat_it;
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #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_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> glob_max_terms := 30;
> glob_iolevel := 5;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> MAX_UNCHANGED := 10;
> glob_check_sign := 1.0;
> glob_desired_digits_correct := 8.0;
> glob_max_value3 := 0.0;
> glob_ratio_of_radius := 0.01;
> glob_percent_done := 0.0;
> glob_subiter_method := 3;
> glob_log10normmin := 0.1;
> glob_total_exp_sec := 0.1;
> glob_optimal_expect_sec := 0.1;
> glob_html_log := true;
> glob_good_digits := 0;
> glob_max_opt_iter := 10;
> glob_dump := false;
> glob_djd_debug := true;
> glob_display_flag := true;
> glob_djd_debug2 := true;
> glob_sec_in_minute := 60;
> glob_min_in_hour := 60;
> glob_hours_in_day := 24;
> glob_days_in_year := 365;
> glob_sec_in_hour := 3600;
> glob_sec_in_day := 86400;
> glob_sec_in_year := 31536000;
> glob_almost_1 := 0.9990;
> glob_clock_sec := 0.0;
> glob_clock_start_sec := 0.0;
> glob_not_yet_finished := true;
> glob_initial_pass := true;
> glob_not_yet_start_msg := true;
> glob_reached_optimal_h := false;
> glob_optimal_done := false;
> glob_disp_incr := 0.1;
> glob_h := 0.1;
> glob_hmax := 1.0;
> glob_hmin := 0.00000000001;
> glob_hmin_init := 0.001;
> glob_large_float := 9.0e100;
> glob_last_good_h := 0.1;
> glob_look_poles := false;
> glob_neg_h := false;
> glob_display_interval := 0.0;
> glob_next_display := 0.0;
> glob_dump_analytic := false;
> glob_log10_abserr := 0.1e-10;
> glob_log10_relerr := 0.1e-10;
> glob_abserr := 0.1e-10;
> glob_relerr := 0.1e-10;
> glob_max_hours := 0.0;
> glob_max_iter := 1000;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_max_trunc_err := 0.1e-10;
> glob_no_eqs := 0;
> glob_optimal_clock_start_sec := 0.0;
> glob_optimal_start := 0.0;
> glob_small_float := 0.1e-50;
> glob_smallish_float := 0.1e-100;
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_max_sec := 10000.0;
> glob_orig_start_sec := 0.0;
> glob_start := 0;
> glob_curr_iter_when_opt := 0;
> glob_current_iter := 0;
> glob_iter := 0;
> glob_normmax := 0.0;
> glob_log10abserr := 0.0;
> glob_log10relerr := 0.0;
> glob_max_minutes := 0.0;
> #Write Set Defaults
> glob_orig_start_sec := elapsed_time_seconds();
> MAX_UNCHANGED := 10;
> glob_curr_iter_when_opt := 0;
> glob_display_flag := true;
> glob_no_eqs := 1;
> glob_iter := -1;
> opt_iter := -1;
> glob_max_iter := 50000;
> glob_max_hours := 0.0;
> glob_max_minutes := 15.0;
> omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################");
> omniout_str(ALWAYS,"##############temp/arctan_sqrtpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = arctan(sqrt(0.1 * x + 0.2));");
> 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 := -1.0;");
> omniout_str(ALWAYS,"x_end := 0.5 ;");
> 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,"glob_display_interval := 0.1;");
> omniout_str(ALWAYS,"glob_max_minutes := 10;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_desired_digits_correct:=10;");
> omniout_str(ALWAYS,"glob_display_interval:=0.001;");
> omniout_str(ALWAYS,"glob_look_poles:=true;");
> omniout_str(ALWAYS,"glob_max_iter:=10000000;");
> omniout_str(ALWAYS,"glob_max_minutes:=3;");
> omniout_str(ALWAYS,"glob_subiter_method:=3;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_y := proc(x)");
> omniout_str(ALWAYS,"return(10.0 * (0.1 * x + 0.2) * arctan(sqrt ( 0.1 * x + 0.2)) - 10.0 * sqrt( 0.1 * x +");
> omniout_str(ALWAYS,"0.2) + 10.0 * arctan(sqrt( 0.1 * x + 0.2)));");
> 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_a1:= Array(0..(max_terms + 1),[]);
> array_tmp4_a2:= Array(0..(max_terms + 1),[]);
> array_tmp4:= Array(0..(max_terms + 1),[]);
> array_tmp5:= Array(0..(max_terms + 1),[]);
> array_m1:= Array(0..(max_terms + 1),[]);
> array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_fact_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_last_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_type_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_real_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_complex_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=max_terms) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_fact_2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_y := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_x := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4_a1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4_a2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp5 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1[1] := 1;
> array_const_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D0[1] := 0.0;
> array_const_0D1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D1[1] := 0.1;
> array_const_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_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 := -1.0;
> x_end := 0.5 ;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_h := 0.05;
> glob_look_poles := true;
> glob_max_iter := 1000000;
> glob_display_interval := 0.1;
> glob_max_minutes := 10;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_desired_digits_correct:=10;
> glob_display_interval:=0.001;
> glob_look_poles:=true;
> glob_max_iter:=10000000;
> glob_max_minutes:=3;
> glob_subiter_method:=3;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> glob_abserr := expt(10.0 , (glob_log10_abserr));
> glob_relerr := expt(10.0 , (glob_log10_relerr));
> if (glob_h > 0.0) then # if number 1
> glob_neg_h := false;
> glob_display_interval := omniabs(glob_display_interval);
> else
> glob_neg_h := true;
> glob_display_interval := -omniabs(glob_display_interval);
> fi;# end if 1;
> chk_data();
> #AFTER INITS AFTER SECOND INPUT BLOCK
> array_y_set_initial[1,1] := true;
> array_y_set_initial[1,2] := false;
> array_y_set_initial[1,3] := false;
> array_y_set_initial[1,4] := false;
> array_y_set_initial[1,5] := false;
> array_y_set_initial[1,6] := false;
> array_y_set_initial[1,7] := false;
> array_y_set_initial[1,8] := false;
> array_y_set_initial[1,9] := false;
> array_y_set_initial[1,10] := false;
> array_y_set_initial[1,11] := false;
> array_y_set_initial[1,12] := false;
> array_y_set_initial[1,13] := false;
> array_y_set_initial[1,14] := false;
> array_y_set_initial[1,15] := false;
> array_y_set_initial[1,16] := false;
> array_y_set_initial[1,17] := false;
> array_y_set_initial[1,18] := false;
> array_y_set_initial[1,19] := false;
> array_y_set_initial[1,20] := false;
> array_y_set_initial[1,21] := false;
> array_y_set_initial[1,22] := false;
> array_y_set_initial[1,23] := false;
> array_y_set_initial[1,24] := false;
> array_y_set_initial[1,25] := false;
> array_y_set_initial[1,26] := false;
> array_y_set_initial[1,27] := false;
> array_y_set_initial[1,28] := false;
> array_y_set_initial[1,29] := false;
> array_y_set_initial[1,30] := false;
> #BEGIN OPTIMIZE CODE
> omniout_str(ALWAYS,"START of Optimize");
> #Start Series -- INITIALIZE FOR OPTIMIZE
> glob_check_sign := check_sign(x_start,x_end);
> glob_h := check_sign(x_start,x_end);
> if (glob_display_interval < glob_h) then # if number 2
> glob_h := glob_display_interval;
> fi;# end if 2;
> found_h := -1.0;
> best_h := 0.0;
> min_value := glob_large_float;
> est_answer := est_size_answer();
> opt_iter := 1;
> while ((opt_iter <= 20) and (found_h < 0.0)) do # do number 2
> omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,"");
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 3
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 3;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 3
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 4
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 4;
> r_order := r_order + 1;
> od;# end do number 3
> ;
> atomall();
> est_needed_step_err := estimated_needed_step_error(x_start,x_end,glob_h,est_answer);
> omniout_float(ALWAYS,"est_needed_step_err",32,est_needed_step_err,16,"");
> value3 := test_suggested_h();
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> if ((value3 < est_needed_step_err) and (found_h < 0.0)) then # if number 2
> best_h := glob_h;
> found_h := 1.0;
> fi;# end if 2;
> omniout_float(ALWAYS,"best_h",32,best_h,32,"");
> opt_iter := opt_iter + 1;
> glob_h := glob_h * 0.5;
> od;# end do number 2;
> if (found_h > 0.0) then # if number 2
> glob_h := best_h ;
> else
> omniout_str(ALWAYS,"No increment to obtain desired accuracy found");
> fi;# end if 2;
> #END OPTIMIZE CODE
> if (glob_html_log) then # if number 2
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 2;
> #BEGIN SOLUTION CODE
> if (found_h > 0.0) then # if number 2
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> current_iter := 1;
> glob_clock_start_sec := elapsed_time_seconds();
> glob_log10normmin := -glob_large_float ;
> if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 3
> tmp := omniabs(array_y_higher[1,1]);
> log10norm := (log10(tmp));
> if (log10norm < glob_log10normmin) then # if number 4
> glob_log10normmin := log10norm;
> fi;# end if 4
> fi;# end if 3;
> display_alot(current_iter)
> ;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and ((glob_check_sign * array_x[1]) < (glob_check_sign * x_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> if (reached_interval()) then # if number 3
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> fi;# end if 3;
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> atomall();
> display_alot(current_iter);
> if (glob_look_poles) then # if number 3
> #left paren 0004C
> check_for_pole();
> fi;# end if 3;#was right paren 0004C
> if (reached_interval()) then # if number 3
> glob_next_display := glob_next_display + glob_display_interval;
> fi;# end if 3;
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y;
> order_diff := 2;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_y[term_no] := array_y_higher_work2[1,term_no];
> ord := 1;
> while (ord <= order_diff) do # do number 4
> array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4;
> term_no := term_no - 1;
> od;# end do number 3;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> ;
> od;# end do number 2;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 3
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!");
> fi;# end if 3;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 3
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!");
> fi;# end if 3;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y , x , 1 ) = arctan(sqrt(0.1 * x + 0.2));");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if (glob_html_log) then # if number 3
> logstart(html_log_file);
> logitem_str(html_log_file,"2013-01-12T21:03:17-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"arctan_sqrt")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = arctan(sqrt(0.1 * x + 0.2));")
> ;
> logitem_float(html_log_file,x_start)
> ;
> logitem_float(html_log_file,x_end)
> ;
> logitem_float(html_log_file,array_x[1])
> ;
> logitem_float(html_log_file,glob_h)
> ;
> logitem_integer(html_log_file,Digits)
> ;
> ;
> logitem_good_digits(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_max_terms)
> ;
> logitem_float(html_log_file,array_1st_rel_error[1])
> ;
> logitem_float(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_iter)
> ;
> logitem_pole(html_log_file,array_type_pole[1])
> ;
> if (array_type_pole[1] = 1 or array_type_pole[1] = 2) then # if number 4
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 4;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if (glob_percent_done < 100.0) then # if number 4
> logitem_time(html_log_file,convfloat(glob_total_exp_sec))
> ;
> 0;
> else
> logitem_str(html_log_file,"Done")
> ;
> 0;
> fi;# end if 4;
> log_revs(html_log_file," 156 | ")
> ;
> logitem_str(html_log_file,"arctan_sqrt diffeq.mxt")
> ;
> logitem_str(html_log_file,"arctan_sqrt maple results")
> ;
> logitem_str(html_log_file,"Languages compared - single equations")
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 3;
> if (glob_html_log) then # if number 3
> fclose(html_log_file);
> fi;# end if 3
> ;
> ;;
> fi;# end if 2
> #END OUTFILEMAIN
> end;
main := proc()
local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff,
term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii,
temp_sum, current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter,
tmp, subiter, est_needed_step_err, value3, min_value, est_answer, best_h,
found_h, repeat_it;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, 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_a1, array_tmp4_a2,
array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
glob_max_terms := 30;
glob_iolevel := 5;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
MAX_UNCHANGED := 10;
glob_check_sign := 1.0;
glob_desired_digits_correct := 8.0;
glob_max_value3 := 0.;
glob_ratio_of_radius := 0.01;
glob_percent_done := 0.;
glob_subiter_method := 3;
glob_log10normmin := 0.1;
glob_total_exp_sec := 0.1;
glob_optimal_expect_sec := 0.1;
glob_html_log := true;
glob_good_digits := 0;
glob_max_opt_iter := 10;
glob_dump := false;
glob_djd_debug := true;
glob_display_flag := true;
glob_djd_debug2 := true;
glob_sec_in_minute := 60;
glob_min_in_hour := 60;
glob_hours_in_day := 24;
glob_days_in_year := 365;
glob_sec_in_hour := 3600;
glob_sec_in_day := 86400;
glob_sec_in_year := 31536000;
glob_almost_1 := 0.9990;
glob_clock_sec := 0.;
glob_clock_start_sec := 0.;
glob_not_yet_finished := true;
glob_initial_pass := true;
glob_not_yet_start_msg := true;
glob_reached_optimal_h := false;
glob_optimal_done := false;
glob_disp_incr := 0.1;
glob_h := 0.1;
glob_hmax := 1.0;
glob_hmin := 0.1*10^(-10);
glob_hmin_init := 0.001;
glob_large_float := 0.90*10^101;
glob_last_good_h := 0.1;
glob_look_poles := false;
glob_neg_h := false;
glob_display_interval := 0.;
glob_next_display := 0.;
glob_dump_analytic := false;
glob_log10_abserr := 0.1*10^(-10);
glob_log10_relerr := 0.1*10^(-10);
glob_abserr := 0.1*10^(-10);
glob_relerr := 0.1*10^(-10);
glob_max_hours := 0.;
glob_max_iter := 1000;
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_max_trunc_err := 0.1*10^(-10);
glob_no_eqs := 0;
glob_optimal_clock_start_sec := 0.;
glob_optimal_start := 0.;
glob_small_float := 0.1*10^(-50);
glob_smallish_float := 0.1*10^(-100);
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_max_sec := 10000.0;
glob_orig_start_sec := 0.;
glob_start := 0;
glob_curr_iter_when_opt := 0;
glob_current_iter := 0;
glob_iter := 0;
glob_normmax := 0.;
glob_log10abserr := 0.;
glob_log10relerr := 0.;
glob_max_minutes := 0.;
glob_orig_start_sec := elapsed_time_seconds();
MAX_UNCHANGED := 10;
glob_curr_iter_when_opt := 0;
glob_display_flag := true;
glob_no_eqs := 1;
glob_iter := -1;
opt_iter := -1;
glob_max_iter := 50000;
glob_max_hours := 0.;
glob_max_minutes := 15.0;
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################");
omniout_str(ALWAYS,
"##############temp/arctan_sqrtpostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = arctan(sqrt(0.1 * x + 0.2));")
;
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 := -1.0;");
omniout_str(ALWAYS, "x_end := 0.5 ;");
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, "glob_display_interval := 0.1;");
omniout_str(ALWAYS, "glob_max_minutes := 10;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_desired_digits_correct:=10;");
omniout_str(ALWAYS, "glob_display_interval:=0.001;");
omniout_str(ALWAYS, "glob_look_poles:=true;");
omniout_str(ALWAYS, "glob_max_iter:=10000000;");
omniout_str(ALWAYS, "glob_max_minutes:=3;");
omniout_str(ALWAYS, "glob_subiter_method:=3;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_y := proc(x)");
omniout_str(ALWAYS, "return(10.0 * (0.1 * x + 0.2) * arctan(sqrt ( 0.\
1 * x + 0.2)) - 10.0 * sqrt( 0.1 * x +");
omniout_str(ALWAYS, "0.2) + 10.0 * arctan(sqrt( 0.1 * x + 0.2)));");
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_a1 := Array(0 .. max_terms + 1, []);
array_tmp4_a2 := Array(0 .. max_terms + 1, []);
array_tmp4 := Array(0 .. max_terms + 1, []);
array_tmp5 := Array(0 .. max_terms + 1, []);
array_m1 := Array(0 .. max_terms + 1, []);
array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []);
array_poles := Array(0 .. 2, 0 .. 4, []);
array_real_pole := Array(0 .. 2, 0 .. 4, []);
array_complex_pole := Array(0 .. 2, 0 .. 4, []);
array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []);
term := 1;
while term <= max_terms do array_y_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_fact_1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_last_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_type_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4_a1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4_a2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp5[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_real_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_complex_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= max_terms do
term := 1;
while term <= max_terms do
array_fact_2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_y := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1
end do;
array_x := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp4_a1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp4_a1[term] := 0.; term := term + 1
end do;
array_tmp4_a2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp4_a2[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_tmp5 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1
end do;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1
end do;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_0D1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D1[term] := 0.; term := term + 1
end do;
array_const_0D1[1] := 0.1;
array_const_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_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 := -1.0;
x_end := 0.5;
array_y_init[1] := exact_soln_y(x_start);
glob_h := 0.05;
glob_look_poles := true;
glob_max_iter := 1000000;
glob_display_interval := 0.1;
glob_max_minutes := 10;
glob_desired_digits_correct := 10;
glob_display_interval := 0.001;
glob_look_poles := true;
glob_max_iter := 10000000;
glob_max_minutes := 3;
glob_subiter_method := 3;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
glob_abserr := expt(10.0, glob_log10_abserr);
glob_relerr := expt(10.0, glob_log10_relerr);
if 0. < glob_h then
glob_neg_h := false;
glob_display_interval := omniabs(glob_display_interval)
else
glob_neg_h := true;
glob_display_interval := -omniabs(glob_display_interval)
end if;
chk_data();
array_y_set_initial[1, 1] := true;
array_y_set_initial[1, 2] := false;
array_y_set_initial[1, 3] := false;
array_y_set_initial[1, 4] := false;
array_y_set_initial[1, 5] := false;
array_y_set_initial[1, 6] := false;
array_y_set_initial[1, 7] := false;
array_y_set_initial[1, 8] := false;
array_y_set_initial[1, 9] := false;
array_y_set_initial[1, 10] := false;
array_y_set_initial[1, 11] := false;
array_y_set_initial[1, 12] := false;
array_y_set_initial[1, 13] := false;
array_y_set_initial[1, 14] := false;
array_y_set_initial[1, 15] := false;
array_y_set_initial[1, 16] := false;
array_y_set_initial[1, 17] := false;
array_y_set_initial[1, 18] := false;
array_y_set_initial[1, 19] := false;
array_y_set_initial[1, 20] := false;
array_y_set_initial[1, 21] := false;
array_y_set_initial[1, 22] := false;
array_y_set_initial[1, 23] := false;
array_y_set_initial[1, 24] := false;
array_y_set_initial[1, 25] := false;
array_y_set_initial[1, 26] := false;
array_y_set_initial[1, 27] := false;
array_y_set_initial[1, 28] := false;
array_y_set_initial[1, 29] := false;
array_y_set_initial[1, 30] := false;
omniout_str(ALWAYS, "START of Optimize");
glob_check_sign := check_sign(x_start, x_end);
glob_h := check_sign(x_start, x_end);
if glob_display_interval < glob_h then glob_h := glob_display_interval
end if;
found_h := -1.0;
best_h := 0.;
min_value := glob_large_float;
est_answer := est_size_answer();
opt_iter := 1;
while opt_iter <= 20 and found_h < 0. do
omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, "");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
atomall();
est_needed_step_err :=
estimated_needed_step_error(x_start, x_end, glob_h, est_answer)
;
omniout_float(ALWAYS, "est_needed_step_err", 32,
est_needed_step_err, 16, "");
value3 := test_suggested_h();
omniout_float(ALWAYS, "value3", 32, value3, 32, "");
if value3 < est_needed_step_err and found_h < 0. then
best_h := glob_h; found_h := 1.0
end if;
omniout_float(ALWAYS, "best_h", 32, best_h, 32, "");
opt_iter := opt_iter + 1;
glob_h := glob_h*0.5
end do;
if 0. < found_h then glob_h := best_h
else omniout_str(ALWAYS,
"No increment to obtain desired accuracy found")
end if;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
if 0. < found_h then
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
glob_log10normmin := -glob_large_float;
if glob_small_float < omniabs(array_y_higher[1, 1]) then
tmp := omniabs(array_y_higher[1, 1]);
log10norm := log10(tmp);
if log10norm < glob_log10normmin then
glob_log10normmin := log10norm
end if
end if;
display_alot(current_iter);
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and
glob_check_sign*array_x[1] < glob_check_sign*x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
if reached_interval() then
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop")
end if;
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
atomall();
display_alot(current_iter);
if glob_look_poles then check_for_pole() end if;
if reached_interval() then glob_next_display :=
glob_next_display + glob_display_interval
end if;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
order_diff := 2;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
term_no := glob_max_terms;
while 1 <= term_no do
array_y[term_no] := array_y_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y_higher[ord, term_no] :=
array_y_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO,
"diff ( y , x , 1 ) = arctan(sqrt(0.1 * x + 0.2));");
omniout_int(INFO, "Iterations ", 32,
glob_iter, 4, " ");
prog_report(x_start, x_end);
if glob_html_log then
logstart(html_log_file);
logitem_str(html_log_file, "2013-01-12T21:03:17-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"arctan_sqrt");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = arctan(sqrt(0.1 * x + 0.2));");
logitem_float(html_log_file, x_start);
logitem_float(html_log_file, x_end);
logitem_float(html_log_file, array_x[1]);
logitem_float(html_log_file, glob_h);
logitem_integer(html_log_file, Digits);
logitem_good_digits(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_max_terms);
logitem_float(html_log_file, array_1st_rel_error[1]);
logitem_float(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_iter);
logitem_pole(html_log_file, array_type_pole[1]);
if array_type_pole[1] = 1 or array_type_pole[1] = 2 then
logitem_float(html_log_file, array_pole[1]);
logitem_float(html_log_file, array_pole[2]);
0
else
logitem_str(html_log_file, "NA");
logitem_str(html_log_file, "NA");
0
end if;
logitem_time(html_log_file, convfloat(glob_clock_sec));
if glob_percent_done < 100.0 then
logitem_time(html_log_file, convfloat(glob_total_exp_sec));
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 156 | ");
logitem_str(html_log_file, "arctan_sqrt diffeq.mxt");
logitem_str(html_log_file, "arctan_sqrt maple results");
logitem_str(html_log_file,
"Languages compared - single equations");
logend(html_log_file)
end if;
if glob_html_log then fclose(html_log_file) end if
end if
end proc
> # End Function number 12
> main();
##############ECHO OF PROBLEM#################
##############temp/arctan_sqrtpostode.ode#################
diff ( y , x , 1 ) = arctan(sqrt(0.1 * x + 0.2));
!
#BEGIN FIRST INPUT BLOCK
Digits:=32;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := -1.0;
x_end := 0.5 ;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_h := 0.05;
glob_look_poles := true;
glob_max_iter := 1000000;
glob_display_interval := 0.1;
glob_max_minutes := 10;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_desired_digits_correct:=10;
glob_display_interval:=0.001;
glob_look_poles:=true;
glob_max_iter:=10000000;
glob_max_minutes:=3;
glob_subiter_method:=3;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
return(10.0 * (0.1 * x + 0.2) * arctan(sqrt ( 0.1 * x + 0.2)) - 10.0 * sqrt( 0.1 * x +
0.2) + 10.0 * arctan(sqrt( 0.1 * x + 0.2)));
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 = 1.5
estimated_steps = 1500
step_error = 6.6666666666666666666666666666667e-14
est_needed_step_err = 6.6666666666666666666666666666667e-14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 2.7915576037739877169917118014840e-83
max_value3 = 2.7915576037739877169917118014840e-83
value3 = 2.7915576037739877169917118014840e-83
best_h = 0.001
START of Soultion
x[1] = -1
y[1] (analytic) = 0.2067734006979846849057268715274
y[1] (numeric) = 0.2067734006979846849057268715274
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=3.8MB, alloc=2.8MB, time=0.12
x[1] = -1
y[1] (analytic) = 0.2067734006979846849057268715274
y[1] (numeric) = 0.2067734006979846849057268715274
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.999
y[1] (analytic) = 0.2070797499229501075344758546729
y[1] (numeric) = 0.20707974992295010753447585467291
absolute error = 1e-32
relative error = 4.8290574060094159561370364416196e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.998
y[1] (analytic) = 0.2073862428029437833045884991429
y[1] (numeric) = 0.20738624280294378330458849914284
absolute error = 6e-32
relative error = 2.8931523706233188306439024617061e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=7.6MB, alloc=3.8MB, time=0.26
x[1] = -0.997
y[1] (analytic) = 0.2076928792532129962911577127965
y[1] (numeric) = 0.20769287925321299629115771279643
absolute error = 7e-32
relative error = 3.3703610952717390396571800415007e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.996
y[1] (analytic) = 0.2079996591891276746425497638327
y[1] (numeric) = 0.20799965918912767464254976383264
absolute error = 6e-32
relative error = 2.8846201111052711204662433254715e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.995
y[1] (analytic) = 0.208306582526180090073135508827
y[1] (numeric) = 0.20830658252618009007313550882695
absolute error = 5e-32
relative error = 2.4003082088736188396178123557642e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.0MB, time=0.39
x[1] = -0.994
y[1] (analytic) = 0.20861364917998455839549327467
y[1] (numeric) = 0.20861364917998455839549327467
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.993
y[1] (analytic) = 0.2089208590662771410874493640618
y[1] (numeric) = 0.20892085906627714108744936406169
absolute error = 1.1e-31
relative error = 5.2651516220840390240608922190609e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.992
y[1] (analytic) = 0.2092282121009153478893474146585
y[1] (numeric) = 0.20922821210091534788934741465842
absolute error = 8e-32
relative error = 3.8235761418930563888748111133484e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=15.2MB, alloc=4.1MB, time=0.54
x[1] = -0.991
y[1] (analytic) = 0.2095357081998778404269629397281
y[1] (numeric) = 0.20953570819987784042696293972809
absolute error = 1e-32
relative error = 4.7724562490613378002638854430956e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.99
y[1] (analytic) = 0.2098433472792641368555043144456
y[1] (numeric) = 0.20984334727926413685550431444558
absolute error = 2e-32
relative error = 9.5309192592050872103111695341248e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.989
y[1] (analytic) = 0.2101511292552943175201662479586
y[1] (numeric) = 0.21015112925529431752016624795854
absolute error = 6e-32
relative error = 2.8550881554917186187652192086628e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=19.0MB, alloc=4.1MB, time=0.68
x[1] = -0.988
y[1] (analytic) = 0.2104590540443087316287263982577
y[1] (numeric) = 0.2104590540443087316287263982577
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.987
y[1] (analytic) = 0.2107671215627677049317002458756
y[1] (numeric) = 0.21076712156276770493170024587559
absolute error = 1e-32
relative error = 4.7445730272602979976553023629837e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.986
y[1] (analytic) = 0.2110753317272512484055936446807
y[1] (numeric) = 0.21107533172725124840559364468059
absolute error = 1.1e-31
relative error = 5.2114095522133559852145919566431e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.1MB, time=0.82
x[1] = -0.985
y[1] (analytic) = 0.2113836844544587679348166146883
y[1] (numeric) = 0.21138368445445876793481661468823
absolute error = 7e-32
relative error = 3.3115138559845209860672162816569e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.984
y[1] (analytic) = 0.211692179661208774987845934027
y[1] (numeric) = 0.21169217966120877498784593402696
absolute error = 4e-32
relative error = 1.8895360265086703964476650118029e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.983
y[1] (analytic) = 0.212000817264438598283247926111
y[1] (numeric) = 0.21200081726443859828324792611092
absolute error = 8e-32
relative error = 3.7735703584676390368986367002659e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.2MB, time=0.97
x[1] = -0.982
y[1] (analytic) = 0.2123095971812040964411965248165
y[1] (numeric) = 0.21230959718120409644119652481639
absolute error = 1.1e-31
relative error = 5.1811129341513521511102848782244e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.981
y[1] (analytic) = 0.2126185193286793716161452361524
y[1] (numeric) = 0.2126185193286793716161452361524
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.98
y[1] (analytic) = 0.2129275836241564841063350006698
y[1] (numeric) = 0.21292758362415648410633500066983
absolute error = 3e-32
relative error = 1.4089297163562288775248078121114e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=30.5MB, alloc=4.2MB, time=1.11
x[1] = -0.979
y[1] (analytic) = 0.213236789985045167935843197769
y[1] (numeric) = 0.21323678998504516793584319776896
absolute error = 4e-32
relative error = 1.8758489096935524372796960397742e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.978
y[1] (analytic) = 0.2135461383288725474049021222354
y[1] (numeric) = 0.21354613832887254740490212223529
absolute error = 1.1e-31
relative error = 5.1511116455121318615154165802063e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.977
y[1] (analytic) = 0.2138556285732828546042382058406
y[1] (numeric) = 0.21385562857328285460423820584067
absolute error = 7e-32
relative error = 3.2732362700480801342890423827791e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.2MB, time=1.26
x[1] = -0.976
y[1] (analytic) = 0.214165260636037147889206053766
y[1] (numeric) = 0.21416526063603714788920605376596
absolute error = 4e-32
relative error = 1.8677165419455186036964242569157e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.975
y[1] (analytic) = 0.2144750344350130313095140179977
y[1] (numeric) = 0.21447503443501303130951401799766
absolute error = 4e-32
relative error = 1.8650189335729046218816013671290e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.974
y[1] (analytic) = 0.2147849498882043749903605387811
y[1] (numeric) = 0.21478494988820437499036053878107
absolute error = 3e-32
relative error = 1.3967459086688805795717730709850e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.2MB, time=1.40
x[1] = -0.973
y[1] (analytic) = 0.2150950069137210364608228517244
y[1] (numeric) = 0.21509500691372103646082285172437
absolute error = 3e-32
relative error = 1.3947325152012295470250117046916e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.972
y[1] (analytic) = 0.2154052054297885829253618832804
y[1] (numeric) = 0.21540520542978858292536188328035
absolute error = 5e-32
relative error = 2.3212066718739311513777379256710e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.971
y[1] (analytic) = 0.2157155453547480144743292421167
y[1] (numeric) = 0.21571554535474801447432924211663
absolute error = 7e-32
relative error = 3.2450141636702059116644486281892e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.2MB, time=1.55
x[1] = -0.97
y[1] (analytic) = 0.2160260266070554882293841593425
y[1] (numeric) = 0.21602602660705548822938415934241
absolute error = 9e-32
relative error = 4.1661646706906827596312682233485e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.969
y[1] (analytic) = 0.2163366491052820434197500377044
y[1] (numeric) = 0.21633664910528204341975003770434
absolute error = 6e-32
relative error = 2.7734551796076168830636747081074e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.968
y[1] (analytic) = 0.2166474127681133273852619397008
y[1] (numeric) = 0.2166474127681133273852619397008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.2MB, time=1.70
x[1] = -0.967
y[1] (analytic) = 0.2169583175143493225021778780903
y[1] (numeric) = 0.21695831751434932250217787809022
absolute error = 8e-32
relative error = 3.6873442289074218529688911096053e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.966
y[1] (analytic) = 0.2172693632629040740277481704734
y[1] (numeric) = 0.21726936326290407402774817047334
absolute error = 6e-32
relative error = 2.7615490329116374710416143371130e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.965
y[1] (analytic) = 0.2175805499328054188595583834929
y[1] (numeric) = 0.21758054993280541885955838349283
absolute error = 7e-32
relative error = 3.2171993324595344647760417587503e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=49.5MB, alloc=4.2MB, time=1.84
x[1] = -0.964
y[1] (analytic) = 0.2178918774431947152056825226883
y[1] (numeric) = 0.21789187744319471520568252268824
absolute error = 6e-32
relative error = 2.7536593242509574600393420062403e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.963
y[1] (analytic) = 0.2182033457133265731617041221357
y[1] (numeric) = 0.21820334571332657316170412213567
absolute error = 3e-32
relative error = 1.3748643450872521141080574703302e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.962
y[1] (analytic) = 0.2185149546625685861906837546453
y[1] (numeric) = 0.21851495466256858619068375464525
absolute error = 5e-32
relative error = 2.2881729114243069566661158195320e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.3MB, time=1.99
x[1] = -0.961
y[1] (analytic) = 0.2188267042104010635021722194358
y[1] (numeric) = 0.21882670421040106350217221943573
absolute error = 7e-32
relative error = 3.1988783202938184335863245622775e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.96
y[1] (analytic) = 0.2191385942764167633263892707943
y[1] (numeric) = 0.21913859427641676332638927079432
absolute error = 2e-32
relative error = 9.1266442892174553494818736257956e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.959
y[1] (analytic) = 0.2194506247803206270797082291957
y[1] (numeric) = 0.21945062478032062707970822919564
absolute error = 6e-32
relative error = 2.7341002132057059319756574524250e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.3MB, time=2.14
x[1] = -0.958
y[1] (analytic) = 0.2197627956419295144176071666216
y[1] (numeric) = 0.21976279564192951441760716662153
absolute error = 7e-32
relative error = 3.1852525262763080188800523821763e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.957
y[1] (analytic) = 0.2200751067811719391712675813125
y[1] (numeric) = 0.2200751067811719391712675813125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.956
y[1] (analytic) = 0.2203875581180878061640215748019
y[1] (numeric) = 0.2203875581180878061640215748018
absolute error = 1.0e-31
relative error = 4.5374612275715726115616959927572e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.3MB, time=2.28
x[1] = -0.955
y[1] (analytic) = 0.2207001495728281489038685167387
y[1] (numeric) = 0.22070014957282814890386851673861
absolute error = 9e-32
relative error = 4.0779310831550289813295832085944e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.954
y[1] (analytic) = 0.2210128810656548681483020315935
y[1] (numeric) = 0.22101288106565486814830203159347
absolute error = 3e-32
relative error = 1.3573869475547940526238551305384e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.953
y[1] (analytic) = 0.2213257525169404713377078667457
y[1] (numeric) = 0.22132575251694047133770786674561
absolute error = 9e-32
relative error = 4.0664043373403336508513853423757e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.3MB, time=2.43
x[1] = -0.952
y[1] (analytic) = 0.2216387638471678128936128045597
y[1] (numeric) = 0.22163876384716781289361280455974
absolute error = 4e-32
relative error = 1.8047384539458184538131573248612e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.951
y[1] (analytic) = 0.2219519149769298353780842627441
y[1] (numeric) = 0.2219519149769298353780842627441
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.95
y[1] (analytic) = 0.222265205826929311510599588409
y[1] (numeric) = 0.22226520582692931151059958840892
absolute error = 8e-32
relative error = 3.5993038002670286900178609169663e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.3MB, time=2.57
x[1] = -0.949
y[1] (analytic) = 0.2225786363179785870387232926754
y[1] (numeric) = 0.22257863631797858703872329267544
absolute error = 4e-32
relative error = 1.7971176686901570506864792124874e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.948
y[1] (analytic) = 0.2228922063709993244589495952741
y[1] (numeric) = 0.2228922063709993244589495952741
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.947
y[1] (analytic) = 0.2232059159070222475840866531623
y[1] (numeric) = 0.22320591590702224758408665316227
absolute error = 3e-32
relative error = 1.3440503975036521213604593042167e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.3MB, time=2.71
x[1] = -0.946
y[1] (analytic) = 0.2235197648471868869535777346271
y[1] (numeric) = 0.22351976484718688695357773462703
absolute error = 7e-32
relative error = 3.1317141035763301797444387572207e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.945
y[1] (analytic) = 0.2238337531127413260831733714501
y[1] (numeric) = 0.22383375311274132608317337145002
absolute error = 8e-32
relative error = 3.5740811601235732775243313947829e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.944
y[1] (analytic) = 0.2241478806250419485503871773253
y[1] (numeric) = 0.22414788062504194855038717732522
absolute error = 8e-32
relative error = 3.5690723363931886054131694274507e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.3MB, time=2.86
x[1] = -0.943
y[1] (analytic) = 0.2244621473055531859121865616562
y[1] (numeric) = 0.22446214730555318591218656165616
absolute error = 4e-32
relative error = 1.7820376611451226795117762604205e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.942
y[1] (analytic) = 0.2247765530758472664513879949302
y[1] (numeric) = 0.22477655307584726645138799493015
absolute error = 5e-32
relative error = 2.2244312992524757088110977915286e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.941
y[1] (analytic) = 0.2250910978576039647482447958791
y[1] (numeric) = 0.22509109785760396474824479587906
absolute error = 4e-32
relative error = 1.7770582835445853748869196684597e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.3MB, time=3.01
x[1] = -0.94
y[1] (analytic) = 0.2254057815726103520737336123899
y[1] (numeric) = 0.22540578157261035207373361238984
absolute error = 6e-32
relative error = 2.6618660613491006135187318128645e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.939
y[1] (analytic) = 0.2257206041427605476010638584168
y[1] (numeric) = 0.22572060414276054760106385841668
absolute error = 1.2e-31
relative error = 5.3163068766245243570134229544514e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.938
y[1] (analytic) = 0.2260355654900554704319523487571
y[1] (numeric) = 0.22603556549005547043195234875709
absolute error = 1e-32
relative error = 4.4240825457354648894293135295611e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=83.9MB, alloc=4.3MB, time=3.15
x[1] = -0.937
y[1] (analytic) = 0.2263506655366025924342232432683
y[1] (numeric) = 0.2263506655366025924342232432683
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.936
y[1] (analytic) = 0.2266659042046156918873111726918
y[1] (numeric) = 0.22666590420461569188731117269175
absolute error = 5e-32
relative error = 2.2058897731201792830997230555177e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.935
y[1] (analytic) = 0.2269812814164146079322630704912
y[1] (numeric) = 0.22698128141641460793226307049125
absolute error = 5e-32
relative error = 2.2028248183281315031984179090191e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.3MB, time=3.30
x[1] = -0.934
y[1] (analytic) = 0.227296797094424995822851779757
y[1] (numeric) = 0.22729679709442499582285177975699
absolute error = 1e-32
relative error = 4.3995340575985943831349219759085e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.933
y[1] (analytic) = 0.2276124511611780829744319420385
y[1] (numeric) = 0.22761245116117808297443194203857
absolute error = 7e-32
relative error = 3.0754029334902792765326021972862e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.932
y[1] (analytic) = 0.2279282435393104258071860066971
y[1] (numeric) = 0.22792824353931042580718600669709
absolute error = 1e-32
relative error = 4.3873457035066019461156749044100e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.3MB, time=3.45
x[1] = -0.931
y[1] (analytic) = 0.228244174151563667380425425752
y[1] (numeric) = 0.22824417415156366738042542575202
absolute error = 2e-32
relative error = 8.7625456703745544129838954941016e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.93
y[1] (analytic) = 0.2285602429207842958146292209825
y[1] (numeric) = 0.22856024292078429581462922098245
absolute error = 5e-32
relative error = 2.1876070554111759208064971040492e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.929
y[1] (analytic) = 0.2288764497699234034979191279566
y[1] (numeric) = 0.22887644976992340349791912795654
absolute error = 6e-32
relative error = 2.6215016905546472198745849089609e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.3MB, time=3.59
x[1] = -0.928
y[1] (analytic) = 0.2291927946220364470736874364342
y[1] (numeric) = 0.22919279462203644707368743643416
absolute error = 4e-32
relative error = 1.7452555638131774328387738467749e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.927
y[1] (analytic) = 0.2295092774002830082061104589372
y[1] (numeric) = 0.22950927740028300820611045893709
absolute error = 1.1e-31
relative error = 4.7928345749680077572531023105557e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.926
y[1] (analytic) = 0.2298258980279265551202972699237
y[1] (numeric) = 0.22982589802792655512029726992366
absolute error = 4e-32
relative error = 1.7404478930890342305097567188956e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.3MB, time=3.74
x[1] = -0.925
y[1] (analytic) = 0.2301426564283342049138399676501
y[1] (numeric) = 0.23014265642833420491383996765009
absolute error = 1e-32
relative error = 4.3451310396749386210020463928783e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.924
y[1] (analytic) = 0.2304595525249764866365482201533
y[1] (numeric) = 0.23045955252497648663654822015324
absolute error = 6e-32
relative error = 2.6034937299245769977193795062879e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.923
y[1] (analytic) = 0.230776586241427105135167266547
y[1] (numeric) = 0.23077658624142710513516726654694
absolute error = 6e-32
relative error = 2.5999171309879310437249224508829e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=103.0MB, alloc=4.3MB, time=3.89
x[1] = -0.922
y[1] (analytic) = 0.2310937575013627056598948556798
y[1] (numeric) = 0.23109375750136270565989485567982
absolute error = 2e-32
relative error = 8.6544960003439576653938559895596e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.921
y[1] (analytic) = 0.231411066228562639229528816844
y[1] (numeric) = 0.231411066228562639229528816844
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.92
y[1] (analytic) = 0.2317285123469087287520930723332
y[1] (numeric) = 0.23172851234690872875209307233312
absolute error = 8e-32
relative error = 3.4523157806423126787548072785589e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=106.8MB, alloc=4.3MB, time=4.03
x[1] = -0.919
y[1] (analytic) = 0.2320460957803850358978059199017
y[1] (numeric) = 0.23204609578038503589780591990159
absolute error = 1.1e-31
relative error = 4.7404374389520907862382664653048e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.918
y[1] (analytic) = 0.2323638164530776287212703352462
y[1] (numeric) = 0.23236381645307762872127033524619
absolute error = 1e-32
relative error = 4.3035960385937925544296959574557e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.917
y[1] (analytic) = 0.2326816742891743500297818711821
y[1] (numeric) = 0.23268167428917435002978187118212
absolute error = 2e-32
relative error = 8.5954341101844614026783728672876e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.3MB, time=4.18
x[1] = -0.916
y[1] (analytic) = 0.2329996692129645864946654618794
y[1] (numeric) = 0.23299966921296458649466546187938
absolute error = 2e-32
relative error = 8.5837031732949595010209701161622e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.915
y[1] (analytic) = 0.2333178011488390385025680780174
y[1] (numeric) = 0.23331780114883903850256807801734
absolute error = 6e-32
relative error = 2.5715997538363802992706604548310e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.914
y[1] (analytic) = 0.2336360700212894907436497226564
y[1] (numeric) = 0.23363607002128949074364972265639
absolute error = 1e-32
relative error = 4.2801610209796695842492256354362e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.3MB, time=4.33
x[1] = -0.913
y[1] (analytic) = 0.2339544757549085835336307086611
y[1] (numeric) = 0.2339544757549085835336307086611
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.912
y[1] (analytic) = 0.2342730182743895848666685172793
y[1] (numeric) = 0.23427301827438958486666851727926
absolute error = 4e-32
relative error = 1.7074095981958305977587258763606e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.911
y[1] (analytic) = 0.234591697504526163196052804622
y[1] (numeric) = 0.23459169750452616319605280462197
absolute error = 3e-32
relative error = 1.2788176358807918284576678315772e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.3MB, time=4.48
x[1] = -0.91
y[1] (analytic) = 0.2349105133702121609397222989308
y[1] (numeric) = 0.23491051337021216093972229893077
absolute error = 3e-32
relative error = 1.2770820500792516448288101833937e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.909
y[1] (analytic) = 0.2352294657964413687076224172856
y[1] (numeric) = 0.23522946579644136870762241728555
absolute error = 5e-32
relative error = 2.1255840475048350422518763561168e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.908
y[1] (analytic) = 0.235548554708307300247937426421
y[1] (numeric) = 0.23554855470830730024793742642099
absolute error = 1e-32
relative error = 4.2454091948827912343066240792177e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.3MB, time=4.62
x[1] = -0.907
y[1] (analytic) = 0.2358677800310029681092458791968
y[1] (numeric) = 0.23586778003100296810924587919677
absolute error = 3e-32
relative error = 1.2718990273303431058599717170770e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.906
y[1] (analytic) = 0.2361871416898206600156628766176
y[1] (numeric) = 0.23618714168982066001566287661752
absolute error = 8e-32
relative error = 3.3871445933776626773586148570005e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.905
y[1] (analytic) = 0.2365066396101517159520474357299
y[1] (numeric) = 0.23650663961015171595204743572981
absolute error = 9e-32
relative error = 3.8053899944776381732045870952278e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.3MB, time=4.77
x[1] = -0.904
y[1] (analytic) = 0.2368262737174863059563678868364
y[1] (numeric) = 0.23682627371748630595636788683643
absolute error = 3e-32
relative error = 1.2667513417783814012145379481528e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.903
y[1] (analytic) = 0.23714604393741320861633277986
y[1] (numeric) = 0.23714604393741320861633277985991
absolute error = 9e-32
relative error = 3.7951297228366372927440923965622e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.902
y[1] (analytic) = 0.2374659501956195902674092499502
y[1] (numeric) = 0.23746595019561959026740924995017
absolute error = 3e-32
relative error = 1.2633390166163449505105000300732e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.3MB, time=4.92
x[1] = -0.901
y[1] (analytic) = 0.2377859924178907848893651771527
y[1] (numeric) = 0.23778599241789078488936517715269
absolute error = 1e-32
relative error = 4.2054621882123994307678697041446e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.9
y[1] (analytic) = 0.2381061705301100746984857747175
y[1] (numeric) = 0.2381061705301100746984857747175
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.899
y[1] (analytic) = 0.2384264844582584714326294560137
y[1] (numeric) = 0.23842648445825847143262945601363
absolute error = 7e-32
relative error = 2.9359154524737775040709405767369e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.3MB, time=5.07
x[1] = -0.898
y[1] (analytic) = 0.2387469341284144983263019615931
y[1] (numeric) = 0.23874693412841449832630196159315
absolute error = 5e-32
relative error = 2.0942677309148843770014754338192e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.897
y[1] (analytic) = 0.2390675194667539727729417762933
y[1] (numeric) = 0.23906751946675397277294177629333
absolute error = 3e-32
relative error = 1.2548756128358943749818490862920e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.896
y[1] (analytic) = 0.2393882403995497896716238319398
y[1] (numeric) = 0.23938824039954978967162383193981
absolute error = 1e-32
relative error = 4.1773146347162033369180742532172e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.895
memory used=137.3MB, alloc=4.3MB, time=5.22
y[1] (analytic) = 0.2397090968531717054554023747796
y[1] (numeric) = 0.23970909685317170545540237477956
absolute error = 4e-32
relative error = 1.6686892790097607391256302519610e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.894
y[1] (analytic) = 0.2400300887540861227985276787864
y[1] (numeric) = 0.24003008875408612279852767878641
absolute error = 1e-32
relative error = 4.1661443579455270378349236165493e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.893
y[1] (analytic) = 0.2403512160288558759997850069963
y[1] (numeric) = 0.24035121602885587599978500699623
absolute error = 7e-32
relative error = 2.9124046533467923559905273015228e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.892
y[1] (analytic) = 0.2406724786041400170392178635922
y[1] (numeric) = 0.2406724786041400170392178635922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
memory used=141.1MB, alloc=4.3MB, time=5.36
TOP MAIN SOLVE Loop
x[1] = -0.891
y[1] (analytic) = 0.2409938764066936023055111401168
y[1] (numeric) = 0.24099387640669360230551114011674
absolute error = 6e-32
relative error = 2.4896898167962536931178430068218e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.89
y[1] (analytic) = 0.2413154093633674799913232404755
y[1] (numeric) = 0.24131540936336747999132324047548
absolute error = 2e-32
relative error = 8.2879083655550716316223594650224e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.889
y[1] (analytic) = 0.2416370774011080781538696718561
y[1] (numeric) = 0.24163707740110807815386967185602
absolute error = 8e-32
relative error = 3.3107501903444699999552280422738e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.3MB, time=5.51
x[1] = -0.888
y[1] (analytic) = 0.2419588804469571934380739128416
y[1] (numeric) = 0.24195888044695719343807391284159
absolute error = 1e-32
relative error = 4.1329336544819333480424144136071e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.887
y[1] (analytic) = 0.242280818428051780459614616385
y[1] (numeric) = 0.24228081842805178045961461638497
absolute error = 3e-32
relative error = 1.2382325680854038746392291471700e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.886
y[1] (analytic) = 0.2426028912716237418452113744444
y[1] (numeric) = 0.2426028912716237418452113744444
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.3MB, time=5.66
x[1] = -0.885
y[1] (analytic) = 0.2429250989049997189275043634906
y[1] (numeric) = 0.24292509890499971892750436349053
absolute error = 7e-32
relative error = 2.8815466296207941022079316727942e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.884
y[1] (analytic) = 0.2432474412556008830918962062871
y[1] (numeric) = 0.24324744125560088309189620628709
absolute error = 1e-32
relative error = 4.1110401607440322650201052738478e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.883
y[1] (analytic) = 0.2435699182509427277727373258401
y[1] (numeric) = 0.24356991825094272777273732583998
absolute error = 1.2e-31
relative error = 4.9267167662456422706298198844959e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=4.3MB, time=5.80
x[1] = -0.882
y[1] (analytic) = 0.2438925298186348610962489327072
y[1] (numeric) = 0.24389252981863486109624893270712
absolute error = 8e-32
relative error = 3.2801332644132307993324766097709e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.881
y[1] (analytic) = 0.2442152758863807991675905774693
y[1] (numeric) = 0.2442152758863807991675905774692
absolute error = 1.0e-31
relative error = 4.0947479487943333632911640496031e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.88
y[1] (analytic) = 0.2445381563819777599994919165791
y[1] (numeric) = 0.24453815638197775999949191657908
absolute error = 2e-32
relative error = 8.1786827446099049077126920947512e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.3MB, time=5.95
x[1] = -0.879
y[1] (analytic) = 0.2448611712333164580798809825316
y[1] (numeric) = 0.24486117123331645807988098253159
absolute error = 1e-32
relative error = 4.0839468134665908074717107654395e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.878
y[1] (analytic) = 0.2451843203683808995759538188184
y[1] (numeric) = 0.24518432036838089957595381881834
absolute error = 6e-32
relative error = 2.4471385409088187324255575988991e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.877
y[1] (analytic) = 0.2455076037152481781721428369427
y[1] (numeric) = 0.24550760371524817817214283694262
absolute error = 8e-32
relative error = 3.2585548793343257849418893483303e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.3MB, time=6.10
x[1] = -0.876
y[1] (analytic) = 0.2458310212020882715394536773529
y[1] (numeric) = 0.24583102120208827153945367735293
absolute error = 3e-32
relative error = 1.2203504607881911075288525858192e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.875
y[1] (analytic) = 0.2461545727571638384336527089913
y[1] (numeric) = 0.2461545727571638384336527089913
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.874
y[1] (analytic) = 0.2464782583088300164197995837224
y[1] (numeric) = 0.24647825830883001641979958372235
absolute error = 5e-32
relative error = 2.0285764895884434943206292717128e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.3MB, time=6.25
x[1] = -0.873
y[1] (analytic) = 0.2468020777855342202206314726853
y[1] (numeric) = 0.24680207778553422022063147268523
absolute error = 7e-32
relative error = 2.8362808217858083760443928338367e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.872
y[1] (analytic) = 0.2471260311158159406863177520637
y[1] (numeric) = 0.24712603111581594068631775206371
absolute error = 1e-32
relative error = 4.0465182703935737146605845308788e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.871
y[1] (analytic) = 0.247450118228306544383115976367
y[1] (numeric) = 0.24745011822830654438311597636693
absolute error = 7e-32
relative error = 2.8288529624146485781153312016679e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=4.3MB, time=6.39
x[1] = -0.87
y[1] (analytic) = 0.2477743390517290737984719785184
y[1] (numeric) = 0.24777433905172907379847197851838
absolute error = 2e-32
relative error = 8.0718609023610395412689010066546e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.869
y[1] (analytic) = 0.2480986935148980481601188683235
y[1] (numeric) = 0.24809869351489804816011886832344
absolute error = 6e-32
relative error = 2.4183924207725449922422270637519e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.868
y[1] (analytic) = 0.2484231815467192648667415646831
y[1] (numeric) = 0.24842318154671926486674156468304
absolute error = 6e-32
relative error = 2.4152335392547175174331353298802e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.3MB, time=6.54
x[1] = -0.867
y[1] (analytic) = 0.2487478030761896015277852926961
y[1] (numeric) = 0.24874780307618960152778529269612
absolute error = 2e-32
relative error = 8.0402720155378211680573929962286e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.866
y[1] (analytic) = 0.249072558032396818609998204996
y[1] (numeric) = 0.24907255803239681860999820499588
absolute error = 1.2e-31
relative error = 4.8178731911683190572112193974680e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.865
y[1] (analytic) = 0.2493974463445193626883099477415
y[1] (numeric) = 0.24939744634451936268830994774145
absolute error = 5e-32
relative error = 2.0048320755830696478866074904932e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.3MB, time=6.69
x[1] = -0.864
y[1] (analytic) = 0.2497224679418261702986595860803
y[1] (numeric) = 0.24972246794182617029865958608017
absolute error = 1.3e-31
relative error = 5.2057790823324720056763550966630e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.863
y[1] (analytic) = 0.2500476227536764723903978320463
y[1] (numeric) = 0.2500476227536764723903978320462
absolute error = 1.0e-31
relative error = 3.9992381810608391846616945240210e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.862
y[1] (analytic) = 0.2503729107095195993758999802052
y[1] (numeric) = 0.25037291070951959937589998020513
absolute error = 7e-32
relative error = 2.7958296207696914476418960566099e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=179.2MB, alloc=4.3MB, time=6.84
x[1] = -0.861
y[1] (analytic) = 0.2506983317388947867750373533249
y[1] (numeric) = 0.25069833173889478677503735332483
absolute error = 7e-32
relative error = 2.7922004711585320774638807046104e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.86
y[1] (analytic) = 0.2510238857714309814521663923804
y[1] (numeric) = 0.25102388577143098145216639238038
absolute error = 2e-32
relative error = 7.9673692957693029273801210662269e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.859
y[1] (analytic) = 0.2513495727368466484433057927116
y[1] (numeric) = 0.25134957273684664844330579271156
absolute error = 4e-32
relative error = 1.5914091106046344512925328315050e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.3MB, time=6.99
x[1] = -0.858
y[1] (analytic) = 0.2516753925649495783711832915698
y[1] (numeric) = 0.2516753925649495783711832915698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.857
y[1] (analytic) = 0.2520013451856366954458448520371
y[1] (numeric) = 0.25200134518563669544584485203707
absolute error = 3e-32
relative error = 1.1904698357026829109669874739026e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.856
y[1] (analytic) = 0.2523274305288938660485300647905
y[1] (numeric) = 0.2523274305288938660485300647904
absolute error = 1.0e-31
relative error = 3.9631045974824785711279519565773e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.3MB, time=7.13
x[1] = -0.855
y[1] (analytic) = 0.2526536485247957078965286028357
y[1] (numeric) = 0.25265364852479570789652860283561
absolute error = 9e-32
relative error = 3.5621888116595830863444136477401e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.854
y[1] (analytic) = 0.2529799991035053997867435155552
y[1] (numeric) = 0.25297999910350539978674351555512
absolute error = 8e-32
relative error = 3.1623053317850804576287260203463e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.853
y[1] (analytic) = 0.2533064821952744919156980376138
y[1] (numeric) = 0.25330648219527449191569803761372
absolute error = 8e-32
relative error = 3.1582294817993577542498581287558e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.3MB, time=7.28
x[1] = -0.852
y[1] (analytic) = 0.2536330977304427167737334158501
y[1] (numeric) = 0.25363309773044271677373341585003
absolute error = 7e-32
relative error = 2.7598921681110760821660282066795e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.851
y[1] (analytic) = 0.2539598456394378006111560236504
y[1] (numeric) = 0.25395984563943780061115602365033
absolute error = 7e-32
relative error = 2.7563412563804770367783034305243e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.85
y[1] (analytic) = 0.2542867258527752754741027378562
y[1] (numeric) = 0.25428672585277527547410273785616
absolute error = 4e-32
relative error = 1.5730274502475938639218492578423e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=194.5MB, alloc=4.3MB, time=7.43
x[1] = -0.849
y[1] (analytic) = 0.2546137383010582918079041983928
y[1] (numeric) = 0.25461373830105829180790419839276
absolute error = 4e-32
relative error = 1.5710071368067157278643923923505e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.848
y[1] (analytic) = 0.2549408829149774316257361559159
y[1] (numeric) = 0.25494088291497743162573615591592
absolute error = 2e-32
relative error = 7.8449559644264600153539817055213e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.847
y[1] (analytic) = 0.2552681596253105222403596382503
y[1] (numeric) = 0.25526815962531052224035963825031
absolute error = 1e-32
relative error = 3.9174490130998982594163698795069e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=198.3MB, alloc=4.3MB, time=7.58
x[1] = -0.846
y[1] (analytic) = 0.2555955683629224505567611326203
y[1] (numeric) = 0.25559556836292245055676113262024
absolute error = 6e-32
relative error = 2.3474585410184209207931004039080e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.845
y[1] (analytic) = 0.2559231090587649779235143880392
y[1] (numeric) = 0.25592310905876497792351438803918
absolute error = 2e-32
relative error = 7.8148472303091655354782530674071e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.844
y[1] (analytic) = 0.2562507816438765555406957911086
y[1] (numeric) = 0.25625078164387655554069579110847
absolute error = 1.3e-31
relative error = 5.0731552569727163774663147457853e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=202.1MB, alloc=4.3MB, time=7.73
x[1] = -0.843
y[1] (analytic) = 0.256578586049382140422195559258
y[1] (numeric) = 0.25657858604938214042219555925792
absolute error = 8e-32
relative error = 3.1179531087057623809497136554761e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.842
y[1] (analytic) = 0.2569065222064930119102772285178
y[1] (numeric) = 0.25690652220649301191027722851775
absolute error = 5e-32
relative error = 1.9462331890434313182390827117783e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.841
y[1] (analytic) = 0.2572345900465065887402480886155
y[1] (numeric) = 0.25723459004650658874024808861548
absolute error = 2e-32
relative error = 7.7750041300371426738162711116495e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=206.0MB, alloc=4.3MB, time=7.87
x[1] = -0.84
y[1] (analytic) = 0.2575627895008062466531133369146
y[1] (numeric) = 0.25756278950080624665311333691446
absolute error = 1.4e-31
relative error = 5.4355677802426409567574926451844e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.839
y[1] (analytic) = 0.2578911205008611365540967848201
y[1] (numeric) = 0.25789112050086113655409678482008
absolute error = 2e-32
relative error = 7.7552107886293886745324582789297e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.838
y[1] (analytic) = 0.2582195829782260032149209561411
y[1] (numeric) = 0.25821958297822600321492095614114
absolute error = 4e-32
relative error = 1.5490691890464768798815812091391e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.3MB, time=8.02
x[1] = -0.837
y[1] (analytic) = 0.2585481768645410045177493668698
y[1] (numeric) = 0.25854817686454100451774936686979
absolute error = 1e-32
relative error = 3.8677511175177293211172165168023e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.836
y[1] (analytic) = 0.258876902091531531238703670294
y[1] (numeric) = 0.25887690209153153123870367029399
absolute error = 1e-32
relative error = 3.8628397972965095140996657393790e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.835
y[1] (analytic) = 0.259205758591008027368878190639
y[1] (numeric) = 0.25920575859100802736887819063895
absolute error = 5e-32
relative error = 1.9289694901760768244827577403895e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=213.6MB, alloc=4.4MB, time=8.17
x[1] = -0.834
y[1] (analytic) = 0.2595347462948658109707841529034
y[1] (numeric) = 0.25953474629486581097078415290338
absolute error = 2e-32
relative error = 7.7060972704122452218407286702758e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.833
y[1] (analytic) = 0.2598638651350848955681656465646
y[1] (numeric) = 0.25986386513508489556816564656461
absolute error = 1e-32
relative error = 3.8481687305011434695299881812492e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.832
y[1] (analytic) = 0.2601931150437298120671390367237
y[1] (numeric) = 0.26019311504372981206713903672362
absolute error = 8e-32
relative error = 3.0746393880005110718956351636706e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=217.4MB, alloc=4.4MB, time=8.31
x[1] = -0.831
y[1] (analytic) = 0.2605224959529494312066171583936
y[1] (numeric) = 0.26052249595294943120661715839355
absolute error = 5e-32
relative error = 1.9192200587940797074427350380771e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.83
y[1] (analytic) = 0.2608520077949767865359891983483
y[1] (numeric) = 0.26085200779497678653598919834832
absolute error = 2e-32
relative error = 7.6671826945336392973020159914449e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.829
y[1] (analytic) = 0.2611816505021288979180366845833
y[1] (numeric) = 0.26118165050212889791803668458318
absolute error = 1.2e-31
relative error = 4.5945034717904838844124423652072e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=221.2MB, alloc=4.4MB, time=8.46
x[1] = -0.828
y[1] (analytic) = 0.2615114240068065955550754663364
y[1] (numeric) = 0.26151142400680659555507546633633
absolute error = 7e-32
relative error = 2.6767473071531301962436305650233e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.827
y[1] (analytic) = 0.2618413282414943445363229781171
y[1] (numeric) = 0.26184132824149434453632297811707
absolute error = 3e-32
relative error = 1.1457320431987428325808732397226e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.826
y[1] (analytic) = 0.2621713631387600699044994396161
y[1] (numeric) = 0.26217136313876006990449943961611
absolute error = 1e-32
relative error = 3.8142991211085384154573298511292e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=225.0MB, alloc=4.4MB, time=8.61
x[1] = -0.825
y[1] (analytic) = 0.26250152863125498223968095007
y[1] (numeric) = 0.26250152863125498223968095006987
absolute error = 1.3e-31
relative error = 4.9523521130658068200730537897613e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.824
y[1] (analytic) = 0.2628318246517134037584316909428
y[1] (numeric) = 0.26283182465171340375843169094268
absolute error = 1.2e-31
relative error = 4.5656571520216670453952789447582e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.823
y[1] (analytic) = 0.2631622511329525949262516550064
y[1] (numeric) = 0.26316225113295259492625165500635
absolute error = 5e-32
relative error = 1.8999685473407591856811760319677e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=228.8MB, alloc=4.4MB, time=8.76
x[1] = -0.822
y[1] (analytic) = 0.2634928080078725815813854733607
y[1] (numeric) = 0.26349280800787258158138547336063
absolute error = 7e-32
relative error = 2.6566189995557129217558719531161e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.821
y[1] (analytic) = 0.2638234952094559825680470149735
y[1] (numeric) = 0.26382349520945598256804701497344
absolute error = 6e-32
relative error = 2.2742477864742304140911865507107e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.82
y[1] (analytic) = 0.2641543126707678378771234862469
y[1] (numeric) = 0.26415431267076783787712348624689
absolute error = 1e-32
relative error = 3.7856659991251515244690825289864e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=232.7MB, alloc=4.4MB, time=8.91
x[1] = -0.819
y[1] (analytic) = 0.2644852603249554372924317612522
y[1] (numeric) = 0.26448526032495543729243176125212
absolute error = 8e-32
relative error = 3.0247432277212470809848558335364e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.818
y[1] (analytic) = 0.2648163381052481495406086269388
y[1] (numeric) = 0.26481633810524814954060862693875
absolute error = 5e-32
relative error = 1.8881010272156276881218441216691e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.817
y[1] (analytic) = 0.2651475459449572519427255321271
y[1] (numeric) = 0.26514754594495725194272553212701
absolute error = 9e-32
relative error = 3.3943365260745562782856230875694e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=236.5MB, alloc=4.4MB, time=9.05
x[1] = -0.816
y[1] (analytic) = 0.2654788837774757605657272847433
y[1] (numeric) = 0.26547888377747576056572728474324
absolute error = 6e-32
relative error = 2.2600667573354709305119674372606e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.815
y[1] (analytic) = 0.2658103515362782608718029488724
y[1] (numeric) = 0.26581035153627826087180294887227
absolute error = 1.3e-31
relative error = 4.8907049424016646328859634165330e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.814
y[1] (analytic) = 0.2661419491549207388638059520795
y[1] (numeric) = 0.26614194915492073886380595207943
absolute error = 7e-32
relative error = 2.6301753715365302600236665329735e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=240.3MB, alloc=4.4MB, time=9.21
x[1] = -0.813
y[1] (analytic) = 0.2664736765670404127248491244056
y[1] (numeric) = 0.26647367656704041272484912440548
absolute error = 1.2e-31
relative error = 4.5032590665596181451375906753776e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.812
y[1] (analytic) = 0.2668055337063555649502090537626
y[1] (numeric) = 0.26680553370635556495020905376255
absolute error = 5e-32
relative error = 1.8740240993288270696705516507892e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.811
y[1] (analytic) = 0.2671375205066653749696827584578
y[1] (numeric) = 0.26713752050666537496968275845776
absolute error = 4e-32
relative error = 1.4973561154619594518071393458414e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=244.1MB, alloc=4.4MB, time=9.35
x[1] = -0.81
y[1] (analytic) = 0.2674696369018497522585482465425
y[1] (numeric) = 0.2674696369018497522585482465424
absolute error = 1.0e-31
relative error = 3.7387421300719769784858517465442e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.809
y[1] (analytic) = 0.2678018828258691699352890539244
y[1] (numeric) = 0.26780188282586916993528905392438
absolute error = 2e-32
relative error = 7.4682073885957148093375397207273e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.808
y[1] (analytic) = 0.2681342582127644988442513289837
y[1] (numeric) = 0.26813425821276449884425132898371
absolute error = 1e-32
relative error = 3.7294749528294147729122389906249e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.807
y[1] (analytic) = 0.2684667629966568421214104610873
y[1] (numeric) = 0.26846676299665684212141046108727
absolute error = 3e-32
relative error = 1.1174567631812800394282425975803e-29 %
Correct digits = 30
h = 0.001
memory used=247.9MB, alloc=4.4MB, time=9.50
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.806
y[1] (analytic) = 0.2687993971117473702414326341999
y[1] (numeric) = 0.26879939711174737024143263419979
absolute error = 1.1e-31
relative error = 4.0922710832669742489409558918389e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.805
y[1] (analytic) = 0.2691321604923171565442250250204
y[1] (numeric) = 0.26913216049231715654422502502036
absolute error = 4e-32
relative error = 1.4862586443340304270295882820093e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.804
y[1] (analytic) = 0.2694650530727270132391766580239
y[1] (numeric) = 0.26946505307272701323917665802381
absolute error = 9e-32
relative error = 3.3399507273289919314151163624176e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=251.7MB, alloc=4.4MB, time=9.65
TOP MAIN SOLVE Loop
x[1] = -0.803
y[1] (analytic) = 0.2697980747874173278853001777374
y[1] (numeric) = 0.26979807478741732788530017773737
absolute error = 3e-32
relative error = 1.1119427009862088549523006926759e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.802
y[1] (analytic) = 0.2701312255709079003454930018172
y[1] (numeric) = 0.27013122557090790034549300181719
absolute error = 1e-32
relative error = 3.7019045017344939432130869231154e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.801
y[1] (analytic) = 0.2704645053577977802131444772856
y[1] (numeric) = 0.27046450535779778021314447728553
absolute error = 7e-32
relative error = 2.5881399818951076763179794589662e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=255.5MB, alloc=4.4MB, time=9.80
x[1] = -0.8
y[1] (analytic) = 0.2707979140827651047093237769262
y[1] (numeric) = 0.27079791408276510470932377692612
absolute error = 8e-32
relative error = 2.9542325047433439144188876190260e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.799
y[1] (analytic) = 0.2711314516805669370487913435878
y[1] (numeric) = 0.27113145168056693704879134358765
absolute error = 1.5e-31
relative error = 5.5323718096977641404608346574876e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.798
y[1] (analytic) = 0.2714651180860391052730847172873
y[1] (numeric) = 0.27146511808603910527308471728722
absolute error = 8e-32
relative error = 2.9469716243486030428995193161418e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=259.4MB, alloc=4.4MB, time=9.95
x[1] = -0.797
y[1] (analytic) = 0.271798913234096041548937563809
y[1] (numeric) = 0.271798913234096041548937563809
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.796
y[1] (analytic) = 0.2721328370597306219302986642281
y[1] (numeric) = 0.27213283705973062193029866422804
absolute error = 6e-32
relative error = 2.2048055886335598337054753730571e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.795
y[1] (analytic) = 0.2724668894980140065822255227232
y[1] (numeric) = 0.27246688949801400658222552272312
absolute error = 8e-32
relative error = 2.9361365759850653263085503498877e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=263.2MB, alloc=4.4MB, time=10.10
x[1] = -0.794
y[1] (analytic) = 0.2728010704840954804649351054417
y[1] (numeric) = 0.27280107048409548046493510544172
absolute error = 2e-32
relative error = 7.3313495304506203974937874525472e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.793
y[1] (analytic) = 0.2731353799532022944763020363094
y[1] (numeric) = 0.27313537995320229447630203630933
absolute error = 7e-32
relative error = 2.5628316628916204171968172793802e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.792
y[1] (analytic) = 0.2734698178406395070511023467961
y[1] (numeric) = 0.27346981784063950705110234679599
absolute error = 1.1e-31
relative error = 4.0223817336983371814391911439844e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=267.0MB, alloc=4.4MB, time=10.24
x[1] = -0.791
y[1] (analytic) = 0.2738043840817898262153086060266
y[1] (numeric) = 0.27380438408178982621530860602655
absolute error = 5e-32
relative error = 1.8261212349713212099029462790292e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.79
y[1] (analytic) = 0.2741390786121134520937499455057
y[1] (numeric) = 0.27413907861211345209374994550561
absolute error = 9e-32
relative error = 3.2830051248309385493674919874027e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.789
y[1] (analytic) = 0.2744739013671479198694581393809
y[1] (numeric) = 0.27447390136714791986945813938081
absolute error = 9e-32
relative error = 3.2790002820564053089755308499181e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=270.8MB, alloc=4.4MB, time=10.39
x[1] = -0.788
y[1] (analytic) = 0.274808852282507943193028506844
y[1] (numeric) = 0.274808852282507943193028506844
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.787
y[1] (analytic) = 0.275143931293885258040331968222
y[1] (numeric) = 0.27514393129388525804033196822194
absolute error = 6e-32
relative error = 2.1806768449460410693938066001892e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.786
y[1] (analytic) = 0.2754791383370484670169221107887
y[1] (numeric) = 0.27547913833704846701692211078866
absolute error = 4e-32
relative error = 1.4520155769857257782339564206971e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=274.6MB, alloc=4.4MB, time=10.54
x[1] = -0.785
y[1] (analytic) = 0.2758144733478428841074886045892
y[1] (numeric) = 0.27581447334784288410748860458913
absolute error = 7e-32
relative error = 2.5379378808638383810797145691017e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.784
y[1] (analytic) = 0.276149936262190379868715752848
y[1] (numeric) = 0.276149936262190379868715752848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.783
y[1] (analytic) = 0.2764855270160892270639123660924
y[1] (numeric) = 0.27648552701608922706391236609234
absolute error = 6e-32
relative error = 2.1700955072598966116346460221891e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=278.4MB, alloc=4.4MB, time=10.69
x[1] = -0.782
y[1] (analytic) = 0.2768212455456139467377865141899
y[1] (numeric) = 0.2768212455456139467377865141899
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.781
y[1] (analytic) = 0.2771570917869151547297460363358
y[1] (numeric) = 0.27715709178691515472974603633574
absolute error = 6e-32
relative error = 2.1648372629818688284468347940695e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.78
y[1] (analytic) = 0.2774930656762194086241129758525
y[1] (numeric) = 0.27749306567621940862411297585239
absolute error = 1.1e-31
relative error = 3.9640630201674540902622159809008e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=282.2MB, alloc=4.4MB, time=10.83
x[1] = -0.779
y[1] (analytic) = 0.277829167149829055135647354741
y[1] (numeric) = 0.27782916714982905513564735474087
absolute error = 1.3e-31
relative error = 4.6791343520060646519023748921552e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.778
y[1] (analytic) = 0.2781653961441220779287829124701
y[1] (numeric) = 0.27816539614412207792878291247007
absolute error = 3e-32
relative error = 1.0784950398523512026657464149126e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.777
y[1] (analytic) = 0.2785017525955519458689846047561
y[1] (numeric) = 0.27850175259555194586898460475601
absolute error = 9e-32
relative error = 3.2315775093415847742500823248648e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=286.1MB, alloc=4.4MB, time=10.98
x[1] = -0.776
y[1] (analytic) = 0.2788382364406474617046447912954
y[1] (numeric) = 0.27883823644064746170464479129531
absolute error = 9e-32
relative error = 3.2276778518199058876389458118955e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.775
y[1] (analytic) = 0.2791748476160126111779421368114
y[1] (numeric) = 0.27917484761601261117794213681126
absolute error = 1.4e-31
relative error = 5.0147784155885406600922022870901e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.774
y[1] (analytic) = 0.2795115860583264125630943075779
y[1] (numeric) = 0.27951158605832641256309430757783
absolute error = 7e-32
relative error = 2.5043684588227737080662632799766e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=289.9MB, alloc=4.4MB, time=11.13
x[1] = -0.773
y[1] (analytic) = 0.2798484517043427666304425660363
y[1] (numeric) = 0.27984845170434276663044256603624
absolute error = 6e-32
relative error = 2.1440175793214475447513814856583e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.772
y[1] (analytic) = 0.2801854444908903070348133494386
y[1] (numeric) = 0.28018544449089030703481334943848
absolute error = 1.2e-31
relative error = 4.2828777282861876185439149976533e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.771
y[1] (analytic) = 0.2805225643548722511266088648691
y[1] (numeric) = 0.28052256435487225112660886486903
absolute error = 7e-32
relative error = 2.4953429383116291285162554510499e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=293.7MB, alloc=4.4MB, time=11.28
x[1] = -0.77
y[1] (analytic) = 0.280859811233266251184085642735
y[1] (numeric) = 0.28085981123326625118408564273492
absolute error = 8e-32
relative error = 2.8483961321741589876683518138289e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.769
y[1] (analytic) = 0.2811971850631242460652868640983
y[1] (numeric) = 0.28119718506312424606528686409819
absolute error = 1.1e-31
relative error = 3.9118457026981535725311288282498e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.768
y[1] (analytic) = 0.2815346857815723132781011142765
y[1] (numeric) = 0.28153468578157231327810111427643
absolute error = 7e-32
relative error = 2.4863721429447329822556519046031e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=297.5MB, alloc=4.4MB, time=11.42
x[1] = -0.767
y[1] (analytic) = 0.2818723133258105214669270161759
y[1] (numeric) = 0.2818723133258105214669270161758
absolute error = 1.0e-31
relative error = 3.5477056550925601923276765558422e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.766
y[1] (analytic) = 0.2822100676331127833144299620663
y[1] (numeric) = 0.28221006763311278331442996206628
absolute error = 2e-32
relative error = 7.0869193887161393880570759385785e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.765
y[1] (analytic) = 0.2825479486408267088568838921777
y[1] (numeric) = 0.28254794864082670885688389217771
absolute error = 1e-32
relative error = 3.5392222977035098589700649296253e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=301.3MB, alloc=4.4MB, time=11.57
x[1] = -0.764
y[1] (analytic) = 0.2828859562863734592115977628037
y[1] (numeric) = 0.28288595628637345921159776280355
absolute error = 1.5e-31
relative error = 5.3024901613762245236777584227544e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.763
y[1] (analytic) = 0.2832240905072476007149330057614
y[1] (numeric) = 0.28322409050724760071493300576136
absolute error = 4e-32
relative error = 1.4123092399506324711556530044521e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.762
y[1] (analytic) = 0.2835623512410169594694249052878
y[1] (numeric) = 0.28356235124101695946942490528771
absolute error = 9e-32
relative error = 3.1739051254904958698478881955714e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=305.1MB, alloc=4.4MB, time=11.72
x[1] = -0.761
y[1] (analytic) = 0.283900738425322476298527407952
y[1] (numeric) = 0.28390073842532247629852740795196
absolute error = 4e-32
relative error = 1.4089431475896508994045943680778e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.76
y[1] (analytic) = 0.2842392519978780621075074361681
y[1] (numeric) = 0.28423925199787806210750743616803
absolute error = 7e-32
relative error = 2.4627140519115415004860940135471e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.759
y[1] (analytic) = 0.2845778918964704536490212965744
y[1] (numeric) = 0.28457789189647045364902129657433
absolute error = 7e-32
relative error = 2.4597834896277194603816417497601e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=309.0MB, alloc=4.4MB, time=11.86
x[1] = -0.758
y[1] (analytic) = 0.2849166580589590696919122611468
y[1] (numeric) = 0.28491665805895906969191226114676
absolute error = 4e-32
relative error = 1.4039193170559589504376253432262e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.757
y[1] (analytic) = 0.2852555504232758675917748516136
y[1] (numeric) = 0.28525555042327586759177485161348
absolute error = 1.2e-31
relative error = 4.2067542532279650429923069815920e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.756
y[1] (analytic) = 0.2855945689274252002618377767575
y[1] (numeric) = 0.28559456892742520026183777675741
absolute error = 9e-32
relative error = 3.1513204308472212200208757300817e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=312.8MB, alloc=4.4MB, time=12.01
x[1] = -0.755
y[1] (analytic) = 0.2859337135094836735427238577262
y[1] (numeric) = 0.2859337135094836735427238577261
absolute error = 1.0e-31
relative error = 3.4973140722940060548753356491487e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.754
y[1] (analytic) = 0.2862729841076000039696516287199
y[1] (numeric) = 0.28627298410760000396965162871983
absolute error = 7e-32
relative error = 2.4452185112126908855878933203813e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.753
y[1] (analytic) = 0.2866123806599948769356496195983
y[1] (numeric) = 0.28661238065999487693564961959823
absolute error = 7e-32
relative error = 2.4423229673054574745031041042139e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=316.6MB, alloc=4.4MB, time=12.16
x[1] = -0.752
y[1] (analytic) = 0.2869519031049608052493606132316
y[1] (numeric) = 0.28695190310496080524936061323148
absolute error = 1.2e-31
relative error = 4.1818854902700050449940493086930e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.751
y[1] (analytic) = 0.2872915513808619880860194240221
y[1] (numeric) = 0.28729155138086198808601942402206
absolute error = 4e-32
relative error = 1.3923138292003602534454356783739e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.75
y[1] (analytic) = 0.2876313254261341703301939651331
y[1] (numeric) = 0.28763132542613417033019396513303
absolute error = 7e-32
relative error = 2.4336709465247905468778845149085e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=320.4MB, alloc=4.4MB, time=12.31
x[1] = -0.749
y[1] (analytic) = 0.2879712251792845023088855607736
y[1] (numeric) = 0.2879712251792845023088855607735
absolute error = 1.0e-31
relative error = 3.4725691755397511110013810016902e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.748
y[1] (analytic) = 0.288311250578891399913590616605
y[1] (numeric) = 0.2883112505788913999135906166049
absolute error = 1.0e-31
relative error = 3.4684737345217378241715907279169e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.747
y[1] (analytic) = 0.2886514015636044051099318861349
y[1] (numeric) = 0.2886514015636044051099318861348
absolute error = 1.0e-31
relative error = 3.4643864349283256874658413598961e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=324.2MB, alloc=4.4MB, time=12.45
x[1] = -0.746
y[1] (analytic) = 0.2889916780721440468334736640491
y[1] (numeric) = 0.2889916780721440468334736640491
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.745
y[1] (analytic) = 0.2893320800433017022703412989885
y[1] (numeric) = 0.28933208004330170227034129898836
absolute error = 1.4e-31
relative error = 4.8387306370951839373847707230405e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.744
y[1] (analytic) = 0.2896726074159394585212714484872
y[1] (numeric) = 0.28967260741593945852127144848708
absolute error = 1.2e-31
relative error = 4.1426077898933880172029630236622e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=328.0MB, alloc=4.4MB, time=12.60
x[1] = -0.743
y[1] (analytic) = 0.2900132601289899746477254978543
y[1] (numeric) = 0.29001326012898997464772549785414
absolute error = 1.6e-31
relative error = 5.5169891172850638402865515252747e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.742
y[1] (analytic) = 0.2903540381214563440987045328627
y[1] (numeric) = 0.29035403812145634409870453286271
absolute error = 1e-32
relative error = 3.4440712671669325813698919021087e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.741
y[1] (analytic) = 0.2906949413324119575169101934243
y[1] (numeric) = 0.29069494133241195751691019342425
absolute error = 5e-32
relative error = 1.7200161712764243033223709166058e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=331.8MB, alloc=4.4MB, time=12.75
x[1] = -0.74
y[1] (analytic) = 0.291035969701000365922901642126
y[1] (numeric) = 0.29103596970100036592290164212595
absolute error = 5e-32
relative error = 1.7180007011287353277386650274196e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.739
y[1] (analytic) = 0.2913771231664351442759047577972
y[1] (numeric) = 0.29137712316643514427590475779716
absolute error = 4e-32
relative error = 1.3727913696626048103628487903607e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.738
y[1] (analytic) = 0.2917184016679997554099355103174
y[1] (numeric) = 0.29171840166799975540993551031734
absolute error = 6e-32
relative error = 2.0567780317226981436687261289577e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=335.7MB, alloc=4.4MB, time=12.90
x[1] = -0.737
y[1] (analytic) = 0.2920598051450474143439052888669
y[1] (numeric) = 0.29205980514504741434390528886685
absolute error = 5e-32
relative error = 1.7119781332172087095776087433175e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.736
y[1] (analytic) = 0.2924013335370009529643817419293
y[1] (numeric) = 0.2924013335370009529643817419293
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.735
y[1] (analytic) = 0.2927429867833526850796844437588
y[1] (numeric) = 0.29274298678335268507968444375874
absolute error = 6e-32
relative error = 2.0495794163773968640762364755061e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=339.5MB, alloc=4.4MB, time=13.04
x[1] = -0.734
y[1] (analytic) = 0.2930847648236642718440004289011
y[1] (numeric) = 0.29308476482366427184400042890108
absolute error = 2e-32
relative error = 6.8239643954311604377626693375178e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.733
y[1] (analytic) = 0.293426667597566587550210333883
y[1] (numeric) = 0.29342666759756658755021033388299
absolute error = 1e-32
relative error = 3.4080065325606181730882919906589e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.732
y[1] (analytic) = 0.2937686950447595857901215535256
y[1] (numeric) = 0.29376869504475958579012155352543
absolute error = 1.7e-31
relative error = 5.7868657507600743025833242123112e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.731
y[1] (analytic) = 0.2941108471050121659808104586762
y[1] (numeric) = 0.29411084710501216598081045867617
absolute error = 3e-32
relative error = 1.0200235827850480952177719980525e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=343.3MB, alloc=4.4MB, time=13.19
TOP MAIN SOLVE Loop
x[1] = -0.73
y[1] (analytic) = 0.2944531237181620402557813326571
y[1] (numeric) = 0.29445312371816204025578133265702
absolute error = 8e-32
relative error = 2.7169010465846708007633704554135e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.729
y[1] (analytic) = 0.294795524824115600719655265557
y[1] (numeric) = 0.29479552482411560071965526555695
absolute error = 5e-32
relative error = 1.6960908762041619352466173615091e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.728
y[1] (analytic) = 0.2951380503628477870651077988414
y[1] (numeric) = 0.29513805036284778706510779884138
absolute error = 2e-32
relative error = 6.7764898410800154608832455275384e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=347.1MB, alloc=4.4MB, time=13.34
x[1] = -0.727
y[1] (analytic) = 0.2954807002744019545507796377576
y[1] (numeric) = 0.29548070027440195455077963775763
absolute error = 3e-32
relative error = 1.0152947374275245036469951340946e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.726
y[1] (analytic) = 0.2958234744988897423388902458644
y[1] (numeric) = 0.2958234744988897423388902458644
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.725
y[1] (analytic) = 0.2961663729764909421912896048643
y[1] (numeric) = 0.29616637297649094219128960486427
absolute error = 3e-32
relative error = 1.0129441671077673729742859968310e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=350.9MB, alloc=4.4MB, time=13.49
x[1] = -0.724
y[1] (analytic) = 0.2965093956474533675226888639371
y[1] (numeric) = 0.29650939564745336752268886393701
absolute error = 9e-32
relative error = 3.0353169687414923466069621487174e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.723
y[1] (analytic) = 0.296852542452092722809816016122
y[1] (numeric) = 0.29685254245209272280981601612196
absolute error = 4e-32
relative error = 1.3474703524378728731278967597451e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.722
y[1] (analytic) = 0.2971958133307924733552481251413
y[1] (numeric) = 0.29719581333079247335524812514121
absolute error = 9e-32
relative error = 3.0283064553074945829441066212885e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=354.7MB, alloc=4.4MB, time=13.64
x[1] = -0.721
y[1] (analytic) = 0.2975392082240037154046769845544
y[1] (numeric) = 0.29753920822400371540467698455432
absolute error = 8e-32
relative error = 2.6887212773575590218829169463211e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.72
y[1] (analytic) = 0.2978827270722450466163704224485
y[1] (numeric) = 0.29788272707224504661637042244841
absolute error = 9e-32
relative error = 3.0213232195290207718623561775950e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.719
y[1] (analytic) = 0.2982263698161024368815967691554
y[1] (numeric) = 0.2982263698161024368815967691554
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=358.5MB, alloc=4.4MB, time=13.78
x[1] = -0.718
y[1] (analytic) = 0.2985701363962290994947852829077
y[1] (numeric) = 0.29857013639622909949478528290769
absolute error = 1e-32
relative error = 3.3492967919367231965561985813473e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.717
y[1] (analytic) = 0.2989140267533453626722005790525
y[1] (numeric) = 0.29891402675334536267220057905242
absolute error = 8e-32
relative error = 2.6763548324887922725955795607589e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.716
y[1] (analytic) = 0.2992580408282385414179143325983
y[1] (numeric) = 0.29925804082823854141791433259824
absolute error = 6e-32
relative error = 2.0049586582182251989424195322607e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=362.4MB, alloc=4.4MB, time=13.93
x[1] = -0.715
y[1] (analytic) = 0.2996021785617628097358627216225
y[1] (numeric) = 0.29960217856176280973586272162237
absolute error = 1.3e-31
relative error = 4.3390872731321136849551908733710e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.714
y[1] (analytic) = 0.2999464398948390731867832505734
y[1] (numeric) = 0.29994643989483907318678325057333
absolute error = 7e-32
relative error = 2.3337499863156212539521477140280e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.713
y[1] (analytic) = 0.3002908247684548417888297379193
y[1] (numeric) = 0.3002908247684548417888297379192
absolute error = 1.0e-31
relative error = 3.3301050765406159405883219147644e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=366.2MB, alloc=4.4MB, time=14.08
x[1] = -0.712
y[1] (analytic) = 0.3006353331236641032606693720643
y[1] (numeric) = 0.30063533312366410326066937206427
absolute error = 3e-32
relative error = 9.9788669842276069487746899269203e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.711
y[1] (analytic) = 0.3009799649015871966058708331396
y[1] (numeric) = 0.30097996490158719660587083313957
absolute error = 3e-32
relative error = 9.9674408593306992963200124743163e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.71
y[1] (analytic) = 0.3013247200434106860373975463146
y[1] (numeric) = 0.30132472004341068603739754631458
absolute error = 2e-32
relative error = 6.6373578633437964919590090130630e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=370.0MB, alloc=4.4MB, time=14.23
x[1] = -0.709
y[1] (analytic) = 0.3016695984903872352410251748278
y[1] (numeric) = 0.30166959849038723524102517482777
absolute error = 3e-32
relative error = 9.9446547315757959168161390335001e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.708
y[1] (analytic) = 0.30201460018383548197650747814
y[1] (numeric) = 0.30201460018383548197650747813989
absolute error = 1.1e-31
relative error = 3.6422080234877152711936217442859e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.707
y[1] (analytic) = 0.3023597250651399130153196526237
y[1] (numeric) = 0.3023597250651399130153196526236
absolute error = 1.0e-31
relative error = 3.3073187898439897764678488426716e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=373.8MB, alloc=4.4MB, time=14.38
x[1] = -0.706
y[1] (analytic) = 0.3027049730757507394138132391615
y[1] (numeric) = 0.30270497307575073941381323916148
absolute error = 2e-32
relative error = 6.6070933016997636078485908124196e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.705
y[1] (analytic) = 0.3030503441571837721206216240775
y[1] (numeric) = 0.30305034415718377212062162407738
absolute error = 1.2e-31
relative error = 3.9597381198735528434458954386969e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.704
y[1] (analytic) = 0.303395838251020297917160077117
y[1] (numeric) = 0.30339583825102029791716007711697
absolute error = 3e-32
relative error = 9.8880723522578221139269803406256e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=377.6MB, alloc=4.4MB, time=14.52
x[1] = -0.703
y[1] (analytic) = 0.3037414552989069556900691628656
y[1] (numeric) = 0.30374145529890695569006916286552
absolute error = 8e-32
relative error = 2.6338189471461285937071958979714e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.702
y[1] (analytic) = 0.3040871952425556130344552301869
y[1] (numeric) = 0.30408719524255561303445523018686
absolute error = 4e-32
relative error = 1.3154121786711189618143519177597e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.701
y[1] (analytic) = 0.3044330580237432431867865281279
y[1] (numeric) = 0.30443305802374324318678652812784
absolute error = 6e-32
relative error = 1.9708766317789475965534522256527e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=381.4MB, alloc=4.4MB, time=14.67
x[1] = -0.7
y[1] (analytic) = 0.3047790435843118022863083163984
y[1] (numeric) = 0.30477904358431180228630831639827
absolute error = 1.3e-31
relative error = 4.2653851285558539144317482047545e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.699
y[1] (analytic) = 0.3051251518661681069638451341465
y[1] (numeric) = 0.30512515186616810696384513414649
absolute error = 1e-32
relative error = 3.2773437190737167221592654478751e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.698
y[1] (analytic) = 0.3054713828112837122568631624438
y[1] (numeric) = 0.30547138281128371225686316244367
absolute error = 1.3e-31
relative error = 4.2557177960042275519612975476772e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=385.2MB, alloc=4.4MB, time=14.82
x[1] = -0.697
y[1] (analytic) = 0.3058177363616947898496703638038
y[1] (numeric) = 0.30581773636169478984967036380378
absolute error = 2e-32
relative error = 6.5398430574823588376643155814806e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.696
y[1] (analytic) = 0.3061642124595020066376368063373
y[1] (numeric) = 0.30616421245950200663763680633719
absolute error = 1.1e-31
relative error = 3.5928431711969044680528889855571e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.695
y[1] (analytic) = 0.3065108110468704036143222809
y[1] (numeric) = 0.30651081104687040361432228090001
absolute error = 1e-32
relative error = 3.2625276628401991720931119289896e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=389.1MB, alloc=4.4MB, time=14.97
x[1] = -0.694
y[1] (analytic) = 0.3068575320660292750804029969935
y[1] (numeric) = 0.30685753206602927508040299699341
absolute error = 9e-32
relative error = 2.9329571737751542757430474391433e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.693
y[1] (analytic) = 0.3072043754592720481732937973217
y[1] (numeric) = 0.30720437545927204817329379732164
absolute error = 6e-32
relative error = 1.9530971819753447748024262107842e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.692
y[1] (analytic) = 0.3075513411689561627163669619671
y[1] (numeric) = 0.30755134116895616271636696196699
absolute error = 1.1e-31
relative error = 3.5766386055058848395348336238199e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=392.9MB, alloc=4.4MB, time=15.12
x[1] = -0.691
y[1] (analytic) = 0.3078984291375029513866732812173
y[1] (numeric) = 0.30789842913750295138667328121722
absolute error = 8e-32
relative error = 2.5982594397801609392490390932287e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.69
y[1] (analytic) = 0.3082456393073975202000756613172
y[1] (numeric) = 0.30824563930739752020007566131719
absolute error = 1e-32
relative error = 3.2441659263920727816347002272443e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.689
y[1] (analytic) = 0.3085929716211886293127100899427
y[1] (numeric) = 0.30859297162118862931271008994263
absolute error = 7e-32
relative error = 2.2683601519586149822487602522114e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=396.7MB, alloc=4.4MB, time=15.27
x[1] = -0.688
y[1] (analytic) = 0.3089404260214885741376933281392
y[1] (numeric) = 0.30894042602148857413769332813912
absolute error = 8e-32
relative error = 2.5894960083480801021662064367518e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.687
y[1] (analytic) = 0.3092880024509730667760012129635
y[1] (numeric) = 0.30928800245097306677600121296338
absolute error = 1.2e-31
relative error = 3.8798789170304740953618263407901e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.686
y[1] (analytic) = 0.3096357008523811177604459502342
y[1] (numeric) = 0.30963570085238111776044595023406
absolute error = 1.4e-31
relative error = 4.5214424439623978621515826777487e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=400.5MB, alloc=4.4MB, time=15.42
x[1] = -0.685
y[1] (analytic) = 0.3099835211685149181116852497733
y[1] (numeric) = 0.30998352116851491811168524977323
absolute error = 7e-32
relative error = 2.2581845556217880837875960377853e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.684
y[1] (analytic) = 0.3103314633422397217052006064239
y[1] (numeric) = 0.31033146334223972170520060642375
absolute error = 1.5e-31
relative error = 4.8335414780220660697596881917372e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.683
y[1] (analytic) = 0.3106795273164837279481864590879
y[1] (numeric) = 0.31067952731648372794818645908771
absolute error = 1.9e-31
relative error = 6.1156266600872727473808191671145e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=404.3MB, alloc=4.4MB, time=15.57
x[1] = -0.682
y[1] (analytic) = 0.3110277130342379647652963671715
y[1] (numeric) = 0.31102771303423796476529636717137
absolute error = 1.3e-31
relative error = 4.1796918587023010949894182999424e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.681
y[1] (analytic) = 0.3113760204385561718921967292672
y[1] (numeric) = 0.3113760204385561718921967292671
absolute error = 1.0e-31
relative error = 3.2115510969391748442611935107837e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.68
y[1] (analytic) = 0.3117244494725546844758829327758
y[1] (numeric) = 0.31172444947255468447588293277572
absolute error = 8e-32
relative error = 2.5663691165502717814730531015317e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=408.1MB, alloc=4.4MB, time=15.71
x[1] = -0.679
y[1] (analytic) = 0.3120730000794123169807171655955
y[1] (numeric) = 0.31207300007941231698071716559545
absolute error = 5e-32
relative error = 1.6021892309580336681740143052155e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.678
y[1] (analytic) = 0.3124216722023702473991514420987
y[1] (numeric) = 0.3124216722023702473991514420987
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.677
y[1] (analytic) = 0.3127704657847319017661036955053
y[1] (numeric) = 0.31277046578473190176610369550527
absolute error = 3e-32
relative error = 9.5916984759833004493393778262036e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=412.0MB, alloc=4.4MB, time=15.86
x[1] = -0.676
y[1] (analytic) = 0.3131193807698628389759590675612
y[1] (numeric) = 0.31311938076986283897595906756103
absolute error = 1.7e-31
relative error = 5.4292391477660390622305800149189e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.675
y[1] (analytic) = 0.3134684171011906359011727842635
y[1] (numeric) = 0.31346841710119063590117278426333
absolute error = 1.7e-31
relative error = 5.4231938761831421219499817979554e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.674
y[1] (analytic) = 0.3138175747222047728114552433574
y[1] (numeric) = 0.31381757472220477281145524335737
absolute error = 3e-32
relative error = 9.5596940440816209188686518809667e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=415.8MB, alloc=4.4MB, time=16.01
x[1] = -0.673
y[1] (analytic) = 0.3141668535764565190925241555791
y[1] (numeric) = 0.31416685357645651909252415557904
absolute error = 6e-32
relative error = 1.9098131873863718457983010870175e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.672
y[1] (analytic) = 0.3145162536075588192634127772567
y[1] (numeric) = 0.31451625360755881926341277725661
absolute error = 9e-32
relative error = 2.8615373281248131861926624223648e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.671
y[1] (analytic) = 0.3148657747591861792913274470218
y[1] (numeric) = 0.31486577475918617929132744702177
absolute error = 3e-32
relative error = 9.5278694621365013342290880102993e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=419.6MB, alloc=4.4MB, time=16.16
x[1] = -0.67
y[1] (analytic) = 0.3152154169750745532030517941364
y[1] (numeric) = 0.31521541697507455320305179413636
absolute error = 4e-32
relative error = 1.2689734653163545315947595109744e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.669
y[1] (analytic) = 0.3155651801990212299918991204286
y[1] (numeric) = 0.31556518019902122999189912042858
absolute error = 2e-32
relative error = 6.3378348610535430761644450065010e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.668
y[1] (analytic) = 0.3159150643748847208192185721663
y[1] (numeric) = 0.31591506437488472081921857216617
absolute error = 1.3e-31
relative error = 4.1150301033360602536768582210468e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=423.4MB, alloc=4.4MB, time=16.31
x[1] = -0.667
y[1] (analytic) = 0.3162650694465846465094648124872
y[1] (numeric) = 0.31626506944658464650946481248715
absolute error = 5e-32
relative error = 1.5809523349351330366322579715680e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.666
y[1] (analytic) = 0.3166151953581016253378449793738
y[1] (numeric) = 0.31661519535810162533784497937372
absolute error = 8e-32
relative error = 2.5267264860588107230866104734155e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.665
y[1] (analytic) = 0.316965442053477161109560768704
y[1] (numeric) = 0.31696544205347716110956076870398
absolute error = 2e-32
relative error = 6.3098361355827802716818300121592e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.664
y[1] (analytic) = 0.3173158094768135315296675167603
y[1] (numeric) = 0.31731580947681353152966751676019
absolute error = 1.1e-31
relative error = 3.4665779868127802853490764536238e-29 %
Correct digits = 30
memory used=427.2MB, alloc=4.4MB, time=16.46
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.663
y[1] (analytic) = 0.317666297572273676862576171822
y[1] (numeric) = 0.31766629757227367686257617182191
absolute error = 9e-32
relative error = 2.8331617388377090395868292998612e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.662
y[1] (analytic) = 0.3180169062840810888802280402375
y[1] (numeric) = 0.31801690628408108888022804023745
absolute error = 5e-32
relative error = 1.5722434566209991580079487313429e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.661
y[1] (analytic) = 0.3183676355565197000979761687566
y[1] (numeric) = 0.31836763555651970009797616875644
absolute error = 1.6e-31
relative error = 5.0256364696214623044984207577578e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=431.0MB, alloc=4.4MB, time=16.61
x[1] = -0.66
y[1] (analytic) = 0.3187184853339337732972111820288
y[1] (numeric) = 0.31871848533393377329721118202867
absolute error = 1.3e-31
relative error = 4.0788346450565594158144672710813e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.659
y[1] (analytic) = 0.3190694555607277913337733321371
y[1] (numeric) = 0.31906945556072779133377333213702
absolute error = 8e-32
relative error = 2.5072910805394775572554532443000e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.658
y[1] (analytic) = 0.3194205461813663472311964359429
y[1] (numeric) = 0.31942054618136634723119643594274
absolute error = 1.6e-31
relative error = 5.0090703905174690930742569365872e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=434.8MB, alloc=4.4MB, time=16.75
x[1] = -0.657
y[1] (analytic) = 0.3197717571403740345578332759855
y[1] (numeric) = 0.31977175714037403455783327598546
absolute error = 4e-32
relative error = 1.2508922100472031796063511006873e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.656
y[1] (analytic) = 0.3201230883823353380869159218042
y[1] (numeric) = 0.32012308838233533808691592180412
absolute error = 8e-32
relative error = 2.4990387417621348753704174906591e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.655
y[1] (analytic) = 0.3204745398518945247386082909334
y[1] (numeric) = 0.3204745398518945247386082909333
absolute error = 1.0e-31
relative error = 3.1203726837774516481824853212393e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=438.7MB, alloc=4.4MB, time=16.90
x[1] = -0.654
y[1] (analytic) = 0.3208261114937555348031121125867
y[1] (numeric) = 0.32082611149375553480311211258657
absolute error = 1.3e-31
relative error = 4.0520392618519855674124517419088e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.653
y[1] (analytic) = 0.3211778032526818734438912822684
y[1] (numeric) = 0.32117780325268187344389128226836
absolute error = 4e-32
relative error = 1.2454160777894913623498703710743e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.652
y[1] (analytic) = 0.3215296150734965024800834023611
y[1] (numeric) = 0.32152961507349650248008340236106
absolute error = 4e-32
relative error = 1.2440533663083147991756990594153e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=442.5MB, alloc=4.4MB, time=17.05
x[1] = -0.651
y[1] (analytic) = 0.3218815469010817324471710922177
y[1] (numeric) = 0.32188154690108173244717109221761
absolute error = 9e-32
relative error = 2.7960596333177849890916342109565e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.65
y[1] (analytic) = 0.3222335986803791149349894215527
y[1] (numeric) = 0.32223359868037911493498942155263
absolute error = 7e-32
relative error = 2.1723370960280411518850875292407e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.649
y[1] (analytic) = 0.3225857703563893352021495730693
y[1] (numeric) = 0.32258577035638933520214957306922
absolute error = 8e-32
relative error = 2.4799605981260998930805721430972e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=446.3MB, alloc=4.4MB, time=17.20
x[1] = -0.648
y[1] (analytic) = 0.3229380618741721050659625743836
y[1] (numeric) = 0.32293806187417210506596257438352
absolute error = 8e-32
relative error = 2.4772552215034591052204086819995e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.647
y[1] (analytic) = 0.3232904731788460560669506555154
y[1] (numeric) = 0.32329047317884605606695065551537
absolute error = 3e-32
relative error = 9.2795805904876869335888288669854e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.646
y[1] (analytic) = 0.3236430042155886329070374866001
y[1] (numeric) = 0.32364300421558863290703748659993
absolute error = 1.7e-31
relative error = 5.2527012104595881422725775877654e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=450.1MB, alloc=4.4MB, time=17.35
x[1] = -0.645
y[1] (analytic) = 0.3239956549296359871605122311404
y[1] (numeric) = 0.32399565492963598716051223114032
absolute error = 8e-32
relative error = 2.4691689157798756075688708253048e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.644
y[1] (analytic) = 0.3243484252662828712568660131638
y[1] (numeric) = 0.32434842526628287125686601316371
absolute error = 9e-32
relative error = 2.7747938016382226593331518281832e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.643
y[1] (analytic) = 0.3247013151708825327346030421595
y[1] (numeric) = 0.32470131517088253273460304215948
absolute error = 2e-32
relative error = 6.1595069269967319224391400034646e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=453.9MB, alloc=4.4MB, time=17.49
x[1] = -0.642
y[1] (analytic) = 0.3250543245888466087651322677654
y[1] (numeric) = 0.32505432458884660876513226776535
absolute error = 5e-32
relative error = 1.5382044236219221669627942516197e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.641
y[1] (analytic) = 0.3254074534656450209458490469218
y[1] (numeric) = 0.32540745346564502094584904692172
absolute error = 8e-32
relative error = 2.4584562875861115279142386740291e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.64
y[1] (analytic) = 0.3257607017468058703615198997314
y[1] (numeric) = 0.3257607017468058703615198997313
absolute error = 1.0e-31
relative error = 3.0697379844706978719497003350442e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=457.7MB, alloc=4.4MB, time=17.64
x[1] = -0.639
y[1] (analytic) = 0.3261140693779153329130870066355
y[1] (numeric) = 0.32611406937791533291308700663543
absolute error = 7e-32
relative error = 2.1464881945611773019164089031838e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.638
y[1] (analytic) = 0.3264675563046175549130126588449
y[1] (numeric) = 0.32646755630461755491301265884483
absolute error = 7e-32
relative error = 2.1441640569847313943470253461869e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.637
y[1] (analytic) = 0.3268211624726145489462874163343
y[1] (numeric) = 0.32682116247261454894628741633423
absolute error = 7e-32
relative error = 2.1418441654880759704740771782530e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=461.5MB, alloc=4.4MB, time=17.79
x[1] = -0.636
y[1] (analytic) = 0.3271748878276660899962292532211
y[1] (numeric) = 0.32717488782766608999622925322101
absolute error = 9e-32
relative error = 2.7508223689651266101131685172395e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.635
y[1] (analytic) = 0.3275287323155896118342044790901
y[1] (numeric) = 0.32752873231558961183420447909
absolute error = 1.0e-31
relative error = 3.0531672532364340227904326196926e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.634
y[1] (analytic) = 0.3278826958822601036724047168919
y[1] (numeric) = 0.32788269588226010367240471689178
absolute error = 1.2e-31
relative error = 3.6598454723908633058644827985753e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=465.4MB, alloc=4.4MB, time=17.94
x[1] = -0.633
y[1] (analytic) = 0.3282367784736100070788176935223
y[1] (numeric) = 0.32823677847361000707881769352228
absolute error = 2e-32
relative error = 6.0931624094671600393295124903159e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.632
y[1] (analytic) = 0.3285909800356291131535330581772
y[1] (numeric) = 0.32859098003562911315353305817708
absolute error = 1.2e-31
relative error = 3.6519566053513825147487101493954e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.631
y[1] (analytic) = 0.328945300514364459965527886156
y[1] (numeric) = 0.32894530051436445996552788615592
absolute error = 8e-32
relative error = 2.4320152887092710228574429281617e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=469.2MB, alloc=4.4MB, time=18.08
x[1] = -0.63
y[1] (analytic) = 0.3292997398559202302490799520606
y[1] (numeric) = 0.32929973985592023024907995206048
absolute error = 1.2e-31
relative error = 3.6440964105378296739027024937041e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.629
y[1] (analytic) = 0.3296542980064576493589602663712
y[1] (numeric) = 0.32965429800645764935896026637114
absolute error = 6e-32
relative error = 1.8200885097765250632394020126301e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.628
y[1] (analytic) = 0.3300089749121948834835597632948
y[1] (numeric) = 0.33000897491219488348355976329466
absolute error = 1.4e-31
relative error = 4.2423088656073563582426245535282e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=473.0MB, alloc=4.4MB, time=18.23
x[1] = -0.627
y[1] (analytic) = 0.3303637705194069381151084056327
y[1] (numeric) = 0.33036377051940693811510840563258
absolute error = 1.2e-31
relative error = 3.6323595596252193241465953899044e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.626
y[1] (analytic) = 0.3307186847744255567761483343173
y[1] (numeric) = 0.33071868477442555677614833431723
absolute error = 7e-32
relative error = 2.1166025151480371720779022395993e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.625
y[1] (analytic) = 0.331073717623639120001426036286
y[1] (numeric) = 0.33107371762363912000142603628584
absolute error = 1.6e-31
relative error = 4.8327605449456486652260696571410e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=476.8MB, alloc=4.4MB, time=18.38
x[1] = -0.624
y[1] (analytic) = 0.3314288690134925445743718345991
y[1] (numeric) = 0.33142886901349254457437183459898
absolute error = 1.2e-31
relative error = 3.6206864042104543623849748790627e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.623
y[1] (analytic) = 0.3317841388904871830173383192448
y[1] (numeric) = 0.33178413889048718301733831924468
absolute error = 1.2e-31
relative error = 3.6168094231776612697619682799146e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.622
y[1] (analytic) = 0.3321395272011807233347726359882
y[1] (numeric) = 0.33213952720118072333477263598806
absolute error = 1.4e-31
relative error = 4.2150960224375942261171515573162e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=480.6MB, alloc=4.4MB, time=18.53
x[1] = -0.621
y[1] (analytic) = 0.3324950338921870890085008340144
y[1] (numeric) = 0.33249503389218708900850083401426
absolute error = 1.4e-31
relative error = 4.2105892037291476631299640559058e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.62
y[1] (analytic) = 0.3328506589101763392443057410535
y[1] (numeric) = 0.33285065891017633924430574105337
absolute error = 1.3e-31
relative error = 3.9056554800176023472007586769489e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.619
y[1] (analytic) = 0.3332064022018745694689830872543
y[1] (numeric) = 0.33320640220187456946898308725421
absolute error = 9e-32
relative error = 2.7010285338237019455913741633172e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=484.4MB, alloc=4.4MB, time=18.67
x[1] = -0.618
y[1] (analytic) = 0.3335622637140638120770638363726
y[1] (numeric) = 0.33356226371406381207706383637254
absolute error = 6e-32
relative error = 1.7987646243890822724133036556722e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.617
y[1] (analytic) = 0.3339182433935819374263939049411
y[1] (numeric) = 0.33391824339358193742639390494095
absolute error = 1.5e-31
relative error = 4.4921175457669848639863992240416e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.616
y[1] (analytic) = 0.3342743411873225550817656570754
y[1] (numeric) = 0.3342743411873225550817656570753
absolute error = 1.0e-31
relative error = 2.9915547703962546043650080327324e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=488.3MB, alloc=4.4MB, time=18.82
x[1] = -0.615
y[1] (analytic) = 0.3346305570422349153057987545275
y[1] (numeric) = 0.3346305570422349153057987545273
absolute error = 2.0e-31
relative error = 5.9767404915970446522391582021513e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.614
y[1] (analytic) = 0.3349868909053238107962711185964
y[1] (numeric) = 0.33498689090532381079627111859623
absolute error = 1.7e-31
relative error = 5.0748254518427263909099083960378e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.613
y[1] (analytic) = 0.3353433427236494786691039226459
y[1] (numeric) = 0.33534334272364947866910392264578
absolute error = 1.2e-31
relative error = 3.5784220144453524733721297987494e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=492.1MB, alloc=4.4MB, time=18.97
x[1] = -0.612
y[1] (analytic) = 0.3356999124443275026862076813148
y[1] (numeric) = 0.33569991244432750268620768131465
absolute error = 1.5e-31
relative error = 4.4682764111496755498767426523608e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.611
y[1] (analytic) = 0.3360566000145287157273996351417
y[1] (numeric) = 0.33605660001452871572739963514164
absolute error = 6e-32
relative error = 1.7854135284772274503428911355778e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.61
y[1] (analytic) = 0.3364134053814791025056057473275
y[1] (numeric) = 0.33641340538147910250560574732737
absolute error = 1.3e-31
relative error = 3.8642930965424904447917663724113e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=495.9MB, alloc=4.4MB, time=19.12
x[1] = -0.609
y[1] (analytic) = 0.3367703284924597025245637328034
y[1] (numeric) = 0.3367703284924597025245637328033
absolute error = 1.0e-31
relative error = 2.9693827377146440891415817304656e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.608
y[1] (analytic) = 0.337127369294806513278246628754
y[1] (numeric) = 0.33712736929480651327824662875384
absolute error = 1.6e-31
relative error = 4.7459807352539626272646228515133e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.607
y[1] (analytic) = 0.3374845277359103936912294903164
y[1] (numeric) = 0.33748452773591039369122949031628
absolute error = 1.2e-31
relative error = 3.5557185630122525659922785743770e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=499.7MB, alloc=4.4MB, time=19.26
x[1] = -0.606
y[1] (analytic) = 0.3378418037632169677992248554435
y[1] (numeric) = 0.3378418037632169677992248554434
absolute error = 1.0e-31
relative error = 2.9599652525561032929754523193349e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.605
y[1] (analytic) = 0.3381991973242265286690156689324
y[1] (numeric) = 0.3381991973242265286690156689323
absolute error = 1.0e-31
relative error = 2.9568372956288092777440601369715e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.604
y[1] (analytic) = 0.3385567083664939425570173874764
y[1] (numeric) = 0.3385567083664939425570173874764
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=503.5MB, alloc=4.4MB, time=19.41
x[1] = -0.603
y[1] (analytic) = 0.3389143368376285533057040053616
y[1] (numeric) = 0.33891433683762855330570400536148
absolute error = 1.2e-31
relative error = 3.5407177258922258561438741603098e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.602
y[1] (analytic) = 0.3392720826852940869771357441775
y[1] (numeric) = 0.33927208268529408697713574417734
absolute error = 1.6e-31
relative error = 4.7159789492144759255336361645469e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.601
y[1] (analytic) = 0.3396299458572085567228291397283
y[1] (numeric) = 0.33962994585720855672282913972818
absolute error = 1.2e-31
relative error = 3.5332573426976869567133641700376e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.6
y[1] (analytic) = 0.339987926301144167889213235273
y[1] (numeric) = 0.3399879263011441678892132352729
absolute error = 1.0e-31
relative error = 2.9412809180589854399791410587280e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=507.3MB, alloc=4.4MB, time=19.56
TOP MAIN SOLVE Loop
x[1] = -0.599
y[1] (analytic) = 0.3403460239649272233579185523844
y[1] (numeric) = 0.34034602396492722335791855238433
absolute error = 7e-32
relative error = 2.0567303588424915593803755788978e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.598
y[1] (analytic) = 0.3407042387964380291201484591584
y[1] (numeric) = 0.3407042387964380291201484591584
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.597
y[1] (analytic) = 0.3410625707436108000843854903034
y[1] (numeric) = 0.34106257074361080008438549030333
absolute error = 7e-32
relative error = 2.0524093232329958137888300949223e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=511.1MB, alloc=4.4MB, time=19.71
x[1] = -0.596
y[1] (analytic) = 0.3414210197544335661166880948681
y[1] (numeric) = 0.34142101975443356611668809486801
absolute error = 9e-32
relative error = 2.6360415672336850473756789001730e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.595
y[1] (analytic) = 0.3417795857769480783128361951003
y[1] (numeric) = 0.34177958577694807831283619510017
absolute error = 1.3e-31
relative error = 3.8036209712314560735724358675569e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.594
y[1] (analytic) = 0.3421382687592497155015868342311
y[1] (numeric) = 0.34213826875924971550158683423097
absolute error = 1.3e-31
relative error = 3.7996334193026586765328887532494e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=515.0MB, alloc=4.4MB, time=19.86
x[1] = -0.593
y[1] (analytic) = 0.3424970686494873909783040719342
y[1] (numeric) = 0.34249706864948739097830407193405
absolute error = 1.5e-31
relative error = 4.3795995274199116046337311324362e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.592
y[1] (analytic) = 0.3428559853958634594682301538762
y[1] (numeric) = 0.34285598539586345946823015387602
absolute error = 1.8e-31
relative error = 5.2500177236856746765912982010850e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.591
y[1] (analytic) = 0.3432150189466336243186678362317
y[1] (numeric) = 0.34321501894663362431866783623152
absolute error = 1.8e-31
relative error = 5.2445257364447717561029196227454e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=518.8MB, alloc=4.4MB, time=20.00
x[1] = -0.59
y[1] (analytic) = 0.3435741692501068449193465873502
y[1] (numeric) = 0.34357416925010684491934658735012
absolute error = 8e-32
relative error = 2.3284637542633051581713874293915e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.589
y[1] (analytic) = 0.3439334362546452443502482170042
y[1] (numeric) = 0.34393343625464524435024821700407
absolute error = 1.3e-31
relative error = 3.7798011561675893907341811312773e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.588
y[1] (analytic) = 0.344292819908664017256170298885
y[1] (numeric) = 0.34429281990866401725617029888489
absolute error = 1.1e-31
relative error = 3.1949548070500405356232472540813e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=522.6MB, alloc=4.4MB, time=20.15
x[1] = -0.587
y[1] (analytic) = 0.3446523201606313379473085543215
y[1] (numeric) = 0.34465232016063133794730855432144
absolute error = 6e-32
relative error = 1.7408848422095616201965185658701e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.586
y[1] (analytic) = 0.3450119369590682687251421546318
y[1] (numeric) = 0.34501193695906826872514215463161
absolute error = 1.9e-31
relative error = 5.5070558333331328460256438249356e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.585
y[1] (analytic) = 0.3453716702525486684329086761621
y[1] (numeric) = 0.34537167025254866843290867616203
absolute error = 7e-32
relative error = 2.0268020231310050644314262973575e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=526.4MB, alloc=4.4MB, time=20.30
x[1] = -0.584
y[1] (analytic) = 0.3457315199896991012299582059826
y[1] (numeric) = 0.34573151998969910122995820598252
absolute error = 8e-32
relative error = 2.3139342343557093154498390150763e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.583
y[1] (analytic) = 0.3460914861191987455892788474528
y[1] (numeric) = 0.34609148611919874558927884745268
absolute error = 1.2e-31
relative error = 3.4672913033945689898963643201005e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.582
y[1] (analytic) = 0.346451568589779303517488613533
y[1] (numeric) = 0.34645156858977930351748861353289
absolute error = 1.1e-31
relative error = 3.1750469610442721814438154048499e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=530.2MB, alloc=4.4MB, time=20.45
x[1] = -0.581
y[1] (analytic) = 0.3468117673502249099965914218385
y[1] (numeric) = 0.34681176735022490999659142183844
absolute error = 6e-32
relative error = 1.7300451036717422257374571820877e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.58
y[1] (analytic) = 0.3471720823493720426467976190994
y[1] (numeric) = 0.34717208234937204264679761909925
absolute error = 1.5e-31
relative error = 4.3206239103364734233933940424413e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.579
y[1] (analytic) = 0.3475325135361094316097121639543
y[1] (numeric) = 0.34753251353610943160971216395429
absolute error = 1e-32
relative error = 2.8774286176136371428178668982669e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=534.0MB, alloc=4.4MB, time=20.59
x[1] = -0.578
y[1] (analytic) = 0.3478930608593779696511962859454
y[1] (numeric) = 0.34789306085937796965119628594525
absolute error = 1.5e-31
relative error = 4.3116697881085813315414905706635e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.577
y[1] (analytic) = 0.3482537242681706224832111152425
y[1] (numeric) = 0.3482537242681706224832111152425
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.576
y[1] (analytic) = 0.3486145037115323393039544421032
y[1] (numeric) = 0.34861450371153233930395444210307
absolute error = 1.3e-31
relative error = 3.7290473751364905142625748580788e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=537.8MB, alloc=4.4MB, time=20.74
x[1] = -0.575
y[1] (analytic) = 0.3489753991385599635556044173891
y[1] (numeric) = 0.34897539913855996355560441738908
absolute error = 2e-32
relative error = 5.7310630059796969205745660411908e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.574
y[1] (analytic) = 0.3493364104984021438989866457298
y[1] (numeric) = 0.34933641049840214389898664572966
absolute error = 1.4e-31
relative error = 4.0075982861408704071284343035174e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.573
y[1] (analytic) = 0.3496975377402592454044837511535
y[1] (numeric) = 0.34969753774025924540448375115343
absolute error = 7e-32
relative error = 2.0017298506686393139806504197969e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=541.7MB, alloc=4.4MB, time=20.89
x[1] = -0.572
y[1] (analytic) = 0.3500587808133832609585091113151
y[1] (numeric) = 0.35005878081338326095850911131502
absolute error = 8e-32
relative error = 2.2853304754737202863225577889382e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.571
y[1] (analytic) = 0.3504201396670777228848690608505
y[1] (numeric) = 0.35042013966707772288486906085038
absolute error = 1.2e-31
relative error = 3.4244607091934820218837600082407e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.57
y[1] (analytic) = 0.3507816142506976147803404569847
y[1] (numeric) = 0.35078161425069761478034045698454
absolute error = 1.6e-31
relative error = 4.5612424796486265951137442261754e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=545.5MB, alloc=4.4MB, time=21.04
x[1] = -0.569
y[1] (analytic) = 0.3511432045136492835637930813434
y[1] (numeric) = 0.35114320451364928356379308134336
absolute error = 4e-32
relative error = 1.1391363832713772608032780380136e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.568
y[1] (analytic) = 0.3515049104053903517381889210497
y[1] (numeric) = 0.35150491040539035173818892104965
absolute error = 5e-32
relative error = 1.4224552351867584776434893466833e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.567
y[1] (analytic) = 0.3518667318754296298647929296749
y[1] (numeric) = 0.35186673187542962986479292967479
absolute error = 1.1e-31
relative error = 3.1261835813151834025475292912922e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=549.3MB, alloc=4.4MB, time=21.19
x[1] = -0.566
y[1] (analytic) = 0.3522286688733270292489324145308
y[1] (numeric) = 0.35222866887332702924893241453067
absolute error = 1.3e-31
relative error = 3.6907841833497164789444254468742e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.565
y[1] (analytic) = 0.3525907213486934748366447311836
y[1] (numeric) = 0.35259072134869347483664473118351
absolute error = 9e-32
relative error = 2.5525345549576951470347762486298e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.564
y[1] (analytic) = 0.3529528892511908183215554890116
y[1] (numeric) = 0.35295288925119081832155548901159
absolute error = 1e-32
relative error = 2.8332393088538122137547161886616e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=553.1MB, alloc=4.4MB, time=21.34
x[1] = -0.563
y[1] (analytic) = 0.3533151725305317514613319831722
y[1] (numeric) = 0.35331517253053175146133198317217
absolute error = 3e-32
relative error = 8.4910024625131399449226624192660e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.562
y[1] (analytic) = 0.353677571136479719603059068549
y[1] (numeric) = 0.35367757113647971960305906854895
absolute error = 5e-32
relative error = 1.4137170146055326144743375511118e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.561
y[1] (analytic) = 0.354040085018848835416887180179
y[1] (numeric) = 0.35404008501884883541688718017894
absolute error = 6e-32
relative error = 1.6947233530577658697631907579404e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=556.9MB, alloc=4.4MB, time=21.49
x[1] = -0.56
y[1] (analytic) = 0.3544027141275037928373046823655
y[1] (numeric) = 0.35440271412750379283730468236542
absolute error = 8e-32
relative error = 2.2573190557230982682355583029240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.559
y[1] (analytic) = 0.3547654584123597812113891952304
y[1] (numeric) = 0.35476545841235978121138919523024
absolute error = 1.6e-31
relative error = 4.5100219371984302392773809597099e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.558
y[1] (analytic) = 0.3551283178233823996533950029019
y[1] (numeric) = 0.35512831782338239965339500290175
absolute error = 1.5e-31
relative error = 4.2238253744270596351440710212870e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=560.7MB, alloc=4.4MB, time=21.64
x[1] = -0.557
y[1] (analytic) = 0.3554912923105875716050360919323
y[1] (numeric) = 0.35549129231058757160503609193219
absolute error = 1.1e-31
relative error = 3.0943092666217714246710264047410e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.556
y[1] (analytic) = 0.3558543818240414596008268019474
y[1] (numeric) = 0.35585438182404145960082680194741
absolute error = 1e-32
relative error = 2.8101382224779455433181832821666e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.555
y[1] (analytic) = 0.3562175863138603802378444930097
y[1] (numeric) = 0.35621758631386038023784449300963
absolute error = 7e-32
relative error = 1.9650910760571932225342022915715e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=564.5MB, alloc=4.4MB, time=21.79
x[1] = -0.554
y[1] (analytic) = 0.356580905730210719349281045777
y[1] (numeric) = 0.35658090573021071934928104577691
absolute error = 9e-32
relative error = 2.5239713779877501978479997195089e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.553
y[1] (analytic) = 0.3569443400233088473811524113278
y[1] (numeric) = 0.35694434002330884738115241132771
absolute error = 9e-32
relative error = 2.5214015158252097144362166951322e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.552
y[1] (analytic) = 0.3573078891434210349715378175414
y[1] (numeric) = 0.35730788914342103497153781754124
absolute error = 1.6e-31
relative error = 4.4779307947431592558176492534084e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=568.4MB, alloc=4.4MB, time=21.93
x[1] = -0.551
y[1] (analytic) = 0.3576715530408633687317226182399
y[1] (numeric) = 0.35767155304086336873172261823983
absolute error = 7e-32
relative error = 1.9571028057689177936998970673869e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.55
y[1] (analytic) = 0.3580353316660016672286211399639
y[1] (numeric) = 0.35803533166600166722862113996373
absolute error = 1.7e-31
relative error = 4.7481347499689474508719052093878e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.549
y[1] (analytic) = 0.3583992249692513971678582393167
y[1] (numeric) = 0.35839922496925139716785823931663
absolute error = 7e-32
relative error = 1.9531292235915297941173431699578e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=572.2MB, alloc=4.4MB, time=22.08
x[1] = -0.548
y[1] (analytic) = 0.3587632329010775897768906313463
y[1] (numeric) = 0.35876323290107758977689063134629
absolute error = 1e-32
relative error = 2.7873536312895578665701766069412e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.547
y[1] (analytic) = 0.3591273554119947573875513864637
y[1] (numeric) = 0.35912735541199475738755138646359
absolute error = 1.1e-31
relative error = 3.0629802587387646686453703251765e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.546
y[1] (analytic) = 0.3594915924525668102174033200089
y[1] (numeric) = 0.35949159245256681021740332000885
absolute error = 5e-32
relative error = 1.3908531117204711807215693153434e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=576.0MB, alloc=4.4MB, time=22.23
x[1] = -0.545
y[1] (analytic) = 0.3598559439734069733492893148005
y[1] (numeric) = 0.3598559439734069733492893148004
absolute error = 1.0e-31
relative error = 2.7788897661612589331327358673120e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.544
y[1] (analytic) = 0.3602204099251777039084699229006
y[1] (numeric) = 0.36022040992517770390846992290051
absolute error = 9e-32
relative error = 2.4984703120707160526124898634003e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.543
y[1] (analytic) = 0.3605849902585906084367408884607
y[1] (numeric) = 0.36058499025859060843674088846068
absolute error = 2e-32
relative error = 5.5465425739593769032913927660733e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.542
y[1] (analytic) = 0.3609496849244063604629255189154
y[1] (numeric) = 0.36094968492440636046292551891538
absolute error = 2e-32
relative error = 5.5409384840406764905742328629047e-30 %
Correct digits = 31
h = 0.001
memory used=579.8MB, alloc=4.4MB, time=22.38
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.541
y[1] (analytic) = 0.3613144938734346182691391070326
y[1] (numeric) = 0.36131449387343461826913910703249
absolute error = 1.1e-31
relative error = 3.0444391759864485438137791547634e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.54
y[1] (analytic) = 0.3616794170565339428522248714526
y[1] (numeric) = 0.36167941705653394285222487145248
absolute error = 1.2e-31
relative error = 3.3178553807844380414680490094733e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.539
y[1] (analytic) = 0.3620444544246117160797631384087
y[1] (numeric) = 0.36204445442461171607976313840865
absolute error = 5e-32
relative error = 1.3810458740339984366713915420572e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=583.6MB, alloc=4.4MB, time=22.53
x[1] = -0.538
y[1] (analytic) = 0.3624096059286240590400577323688
y[1] (numeric) = 0.3624096059286240590400577323688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.537
y[1] (analytic) = 0.3627748715195757505855057784265
y[1] (numeric) = 0.36277487151957575058550577842643
absolute error = 7e-32
relative error = 1.9295713539029596002187791030879e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.536
y[1] (analytic) = 0.3631402511485201460687593444473
y[1] (numeric) = 0.36314025114852014606875934444721
absolute error = 9e-32
relative error = 2.4783812787305432866180982630763e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=587.4MB, alloc=4.4MB, time=22.68
x[1] = -0.535
y[1] (analytic) = 0.3635057447665590962710895662954
y[1] (numeric) = 0.36350574476655909627108956629525
absolute error = 1.5e-31
relative error = 4.1264822402278394345049091940174e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.534
y[1] (analytic) = 0.363871352324842866522366104974
y[1] (numeric) = 0.36387135232484286652236610497388
absolute error = 1.2e-31
relative error = 3.2978688548383188676515749005523e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.533
y[1] (analytic) = 0.3642370737745700560120669802674
y[1] (numeric) = 0.36423707377457005601206698026728
absolute error = 1.2e-31
relative error = 3.2945575461730508056376844728458e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=591.3MB, alloc=4.4MB, time=22.82
x[1] = -0.532
y[1] (analytic) = 0.3646029090669875172907360115124
y[1] (numeric) = 0.36460290906698751729073601151227
absolute error = 1.3e-31
relative error = 3.5655228405244415564162566588672e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.531
y[1] (analytic) = 0.3649688581533902759613072725133
y[1] (numeric) = 0.36496885815339027596130727251322
absolute error = 8e-32
relative error = 2.1919678408939029203060754259323e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.53
y[1] (analytic) = 0.3653349209851214505597181343872
y[1] (numeric) = 0.36533492098512145055971813438707
absolute error = 1.3e-31
relative error = 3.5583786967163303651619432011137e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=595.1MB, alloc=4.4MB, time=22.97
x[1] = -0.529
y[1] (analytic) = 0.3657010975135721726242346273383
y[1] (numeric) = 0.36570109751357217262423462733819
absolute error = 1.1e-31
relative error = 3.0079209701009332556179568224025e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.528
y[1] (analytic) = 0.3660673876901815069529150000635
y[1] (numeric) = 0.36606738769018150695291500006348
absolute error = 2e-32
relative error = 5.4634749427411041968058567094821e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.527
y[1] (analytic) = 0.3664337914664363720486394937249
y[1] (numeric) = 0.36643379146643637204863949372484
absolute error = 6e-32
relative error = 1.6374035745962506418679357136928e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=598.9MB, alloc=4.4MB, time=23.12
x[1] = -0.526
y[1] (analytic) = 0.366800308793871460751136476247
y[1] (numeric) = 0.36680030879387146075113647624696
absolute error = 4e-32
relative error = 1.0905116228372249486009696317413e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.525
y[1] (analytic) = 0.3671669396240691610554372021517
y[1] (numeric) = 0.36716693962406916105543720215156
absolute error = 1.4e-31
relative error = 3.8129794622397554859328543733625e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.524
y[1] (analytic) = 0.3675336839086594771161935732718
y[1] (numeric) = 0.36753368390865947711619357327173
absolute error = 7e-32
relative error = 1.9045873362017234947274695217005e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=602.7MB, alloc=4.4MB, time=23.27
x[1] = -0.523
y[1] (analytic) = 0.3679005415993199504372953765496
y[1] (numeric) = 0.36790054159931995043729537654953
absolute error = 7e-32
relative error = 1.9026881476091143711508601058904e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.522
y[1] (analytic) = 0.3682675126477755812462255667536
y[1] (numeric) = 0.36826751264777558124622556675359
absolute error = 1e-32
relative error = 2.7154173682337173852205230542657e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.521
y[1] (analytic) = 0.3686345970057987500525942444077
y[1] (numeric) = 0.36863459700579875005259424440767
absolute error = 3e-32
relative error = 8.1381401104704476764192324616297e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=606.5MB, alloc=4.4MB, time=23.41
x[1] = -0.52
y[1] (analytic) = 0.3690017946252091393902940525425
y[1] (numeric) = 0.36900179462520913939029405254235
absolute error = 1.5e-31
relative error = 4.0650208802467550980452703831187e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.519
y[1] (analytic) = 0.3693691054578736557427217801168
y[1] (numeric) = 0.36936910545787365574272178011677
absolute error = 3e-32
relative error = 8.1219570225863092861627791970765e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.518
y[1] (analytic) = 0.3697365294557063516505130151517
y[1] (numeric) = 0.36973652945570635165051301515161
absolute error = 9e-32
relative error = 2.4341657593987290405698721950156e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=610.3MB, alloc=4.4MB, time=23.56
x[1] = -0.517
y[1] (analytic) = 0.3701040665706683480012387368133
y[1] (numeric) = 0.37010406657066834800123873681324
absolute error = 6e-32
relative error = 1.6211656509465423601641378277666e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.516
y[1] (analytic) = 0.3704717167547677565005147729389
y[1] (numeric) = 0.37047171675476775650051477293879
absolute error = 1.1e-31
relative error = 2.9691875256651252497354448175389e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.515
y[1] (analytic) = 0.3708394799600596023239770778368
y[1] (numeric) = 0.37083947996005960232397707783679
absolute error = 1e-32
relative error = 2.6965845171277412479951925029313e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=614.1MB, alloc=4.4MB, time=23.71
x[1] = -0.514
y[1] (analytic) = 0.3712073561386457469495778046839
y[1] (numeric) = 0.37120735613864574694957780468379
absolute error = 1.1e-31
relative error = 2.9633033446383282187555485815956e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.513
y[1] (analytic) = 0.3715753452426748111696591575082
y[1] (numeric) = 0.3715753452426748111696591575081
absolute error = 1.0e-31
relative error = 2.6912442195186626745024533249374e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.512
y[1] (analytic) = 0.3719434472243420982822640096523
y[1] (numeric) = 0.37194344722434209828226400965213
absolute error = 1.7e-31
relative error = 4.5705873102117722010701317705096e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=618.0MB, alloc=4.4MB, time=23.86
x[1] = -0.511
y[1] (analytic) = 0.3723116620358895174611442687789
y[1] (numeric) = 0.37231166203588951746114426877889
absolute error = 1e-32
relative error = 2.6859217746007740245622440902394e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.51
y[1] (analytic) = 0.3726799896296055073039299529798
y[1] (numeric) = 0.3726799896296055073039299529797
absolute error = 1.0e-31
relative error = 2.6832672207431029527373750900693e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.509
y[1] (analytic) = 0.3730484299578249595579239183932
y[1] (numeric) = 0.37304842995782495955792391839313
absolute error = 7e-32
relative error = 1.8764319691122640408488361490229e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=621.8MB, alloc=4.4MB, time=24.01
x[1] = -0.508
y[1] (analytic) = 0.3734169829729291430229891460027
y[1] (numeric) = 0.37341698297292914302298914600261
absolute error = 9e-32
relative error = 2.4101742583712253993494469633774e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.507
y[1] (analytic) = 0.3737856486273456276309974539853
y[1] (numeric) = 0.37378564862734562763099745398521
absolute error = 9e-32
relative error = 2.4077970978957410863792771654259e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.506
y[1] (analytic) = 0.3741544268735482087013104521802
y[1] (numeric) = 0.3741544268735482087013104521802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=625.6MB, alloc=4.4MB, time=24.15
x[1] = -0.505
y[1] (analytic) = 0.374523317664056831371765496975
y[1] (numeric) = 0.37452331766405683137176549697485
absolute error = 1.5e-31
relative error = 4.0050910831284555401457302887688e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.504
y[1] (analytic) = 0.3748923209514375152046413382102
y[1] (numeric) = 0.37489232095143751520464133821014
absolute error = 6e-32
relative error = 1.6004595625678934436557576227440e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.503
y[1] (analytic) = 0.3752614366883022789670800746315
y[1] (numeric) = 0.3752614366883022789670800746315
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=629.4MB, alloc=4.4MB, time=24.30
x[1] = -0.502
y[1] (analytic) = 0.3756306648273090655854439509927
y[1] (numeric) = 0.37563066482730906558544395099258
absolute error = 1.2e-31
relative error = 3.1946273623631957319374040337335e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.501
y[1] (analytic) = 0.3760000053211616672730874382041
y[1] (numeric) = 0.37600000532116166727308743820393
absolute error = 1.7e-31
relative error = 4.5212765317594591278195590396883e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.5
y[1] (analytic) = 0.3763694581226096508310269379457
y[1] (numeric) = 0.37636945812260965083102693794572
absolute error = 2e-32
relative error = 5.3139274636584916758559823084946e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=633.2MB, alloc=4.4MB, time=24.45
x[1] = -0.499
y[1] (analytic) = 0.3767390231844482831209923449749
y[1] (numeric) = 0.37673902318444828312099234497484
absolute error = 6e-32
relative error = 1.5926144176103705747467207066222e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.498
y[1] (analytic) = 0.3771087004595184567103465839932
y[1] (numeric) = 0.37710870045951845671034658399318
absolute error = 2e-32
relative error = 5.3035106258830384503123419811216e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.497
y[1] (analytic) = 0.3774784899007066156883611134465
y[1] (numeric) = 0.37747848990070661568836111344647
absolute error = 3e-32
relative error = 7.9474727176881826110507061128592e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=637.0MB, alloc=4.4MB, time=24.60
x[1] = -0.496
y[1] (analytic) = 0.3778483914609446816533372560317
y[1] (numeric) = 0.37784839146094468165333725603165
absolute error = 5e-32
relative error = 1.3232820657691782243329855808413e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.495
y[1] (analytic) = 0.3782184050932099798700650750469
y[1] (numeric) = 0.37821840509320997987006507504684
absolute error = 6e-32
relative error = 1.5863849879334483661855372977174e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.494
y[1] (analytic) = 0.3785885307505251655971133670602
y[1] (numeric) = 0.37858853075052516559711336706011
absolute error = 9e-32
relative error = 2.3772510968988237093027909230446e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=640.8MB, alloc=4.4MB, time=24.74
x[1] = -0.493
y[1] (analytic) = 0.3789587683859581505834461847428
y[1] (numeric) = 0.37895876838595815058344618474274
absolute error = 6e-32
relative error = 1.5832857029683978132341449579163e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.492
y[1] (analytic) = 0.3793291179526220297338631391482
y[1] (numeric) = 0.37932911795262202973386313914816
absolute error = 4e-32
relative error = 1.0544932647378779673396777504093e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.491
y[1] (analytic) = 0.3796995794036750079427625582589
y[1] (numeric) = 0.37969957940367500794276255825886
absolute error = 4e-32
relative error = 1.0534644273986480740934214422469e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=644.7MB, alloc=4.4MB, time=24.89
x[1] = -0.49
y[1] (analytic) = 0.3800701526923203270957283983101
y[1] (numeric) = 0.38007015269232032709572839830997
absolute error = 1.3e-31
relative error = 3.4204211795931107216726148417885e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.489
y[1] (analytic) = 0.3804408377718061932384436162681
y[1] (numeric) = 0.380440837771806193238443616268
absolute error = 1.0e-31
relative error = 2.6285295917674699626511145688486e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.488
y[1] (analytic) = 0.380811634595425703912434515936
y[1] (numeric) = 0.38081163459542570391243451593595
absolute error = 5e-32
relative error = 1.3129850944055320692672214460823e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.487
memory used=648.5MB, alloc=4.4MB, time=25.04
y[1] (analytic) = 0.3811825431165167756571523765097
y[1] (numeric) = 0.38118254311651677565715237650962
absolute error = 8e-32
relative error = 2.0987319971666764254774463946000e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.486
y[1] (analytic) = 0.3815535632884620716779004610632
y[1] (numeric) = 0.38155356328846207167790046106316
absolute error = 4e-32
relative error = 1.0483456019976730129849043987194e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.485
y[1] (analytic) = 0.3819246950646889296791162834325
y[1] (numeric) = 0.38192469506468892967911628343243
absolute error = 7e-32
relative error = 1.8328220433125873249065966249844e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.484
y[1] (analytic) = 0.3822959383986692898625207853308
y[1] (numeric) = 0.38229593839866928986252078533081
absolute error = 1e-32
relative error = 2.6157745860150128075725605813294e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=652.3MB, alloc=4.4MB, time=25.20
TOP MAIN SOLVE Loop
x[1] = -0.483
y[1] (analytic) = 0.3826672932439196230896478413111
y[1] (numeric) = 0.38266729324391962308964784131103
absolute error = 7e-32
relative error = 1.8292652974494120094950651451956e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.482
y[1] (analytic) = 0.3830387595540008592082692674164
y[1] (numeric) = 0.38303875955400085920826926741629
absolute error = 1.1e-31
relative error = 2.8717720401998164950169371009239e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.481
y[1] (analytic) = 0.3834103372825183155422322600811
y[1] (numeric) = 0.38341033728251831554223226008108
absolute error = 2e-32
relative error = 5.2163434459678833238014403434736e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=656.1MB, alloc=4.4MB, time=25.36
x[1] = -0.48
y[1] (analytic) = 0.3837820263831216255442279350842
y[1] (numeric) = 0.38378202638312162554422793508418
absolute error = 2e-32
relative error = 5.2112914688804147937292096069182e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.479
y[1] (analytic) = 0.3841538268095046676110113721602
y[1] (numeric) = 0.38415382680950466761101137216004
absolute error = 1.6e-31
relative error = 4.1649982073285780852174075908800e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.478
y[1] (analytic) = 0.3845257385154054940605952992766
y[1] (numeric) = 0.38452573851540549406059529927652
absolute error = 8e-32
relative error = 2.0804849191335708258060589697798e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=659.9MB, alloc=4.4MB, time=25.52
x[1] = -0.477
y[1] (analytic) = 0.3848977614546062602709412716236
y[1] (numeric) = 0.38489776145460626027094127162358
absolute error = 2e-32
relative error = 5.1961850659811495746232604663331e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.476
y[1] (analytic) = 0.3852698955809331539796739140648
y[1] (numeric) = 0.38526989558093315397967391406479
absolute error = 1e-32
relative error = 2.5955830223696553513445466752991e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.475
y[1] (analytic) = 0.385642140848256324744345502218
y[1] (numeric) = 0.38564214084825632474434550221793
absolute error = 7e-32
relative error = 1.8151543253553251808277225885549e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=663.7MB, alloc=4.4MB, time=25.68
x[1] = -0.474
y[1] (analytic) = 0.3860144972104898135627798564878
y[1] (numeric) = 0.38601449721048981356277985648772
absolute error = 8e-32
relative error = 2.0724610235655684857181816640003e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.473
y[1] (analytic) = 0.3863869646215914826530262153091
y[1] (numeric) = 0.38638696462159148265302621530903
absolute error = 7e-32
relative error = 1.8116553199084907109905466105935e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.472
y[1] (analytic) = 0.3867595430355629453924554386081
y[1] (numeric) = 0.38675954303556294539245543860801
absolute error = 9e-32
relative error = 2.3270272607526688917384972536494e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=667.6MB, alloc=4.4MB, time=25.85
x[1] = -0.471
y[1] (analytic) = 0.3871322324064494964155325700863
y[1] (numeric) = 0.38713223240644949641553257008618
absolute error = 1.2e-31
relative error = 3.0997160648202549211212955106414e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.47
y[1] (analytic) = 0.3875050326883400418698014574148
y[1] (numeric) = 0.38750503268834004186980145741468
absolute error = 1.2e-31
relative error = 3.0967339744594439391975422962890e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.469
y[1] (analytic) = 0.3878779438353670298296187928264
y[1] (numeric) = 0.38787794383536702982961879282632
absolute error = 8e-32
relative error = 2.0625044881117453790246406434444e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=671.4MB, alloc=4.4MB, time=26.01
x[1] = -0.468
y[1] (analytic) = 0.3882509658017063808671765929472
y[1] (numeric) = 0.38825096580170638086717659294718
absolute error = 2e-32
relative error = 5.1513072114841083234553919308239e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.467
y[1] (analytic) = 0.3886240985415774187803537860517
y[1] (numeric) = 0.38862409854157741878035378605155
absolute error = 1.5e-31
relative error = 3.8597709345076053935439101554796e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.466
y[1] (analytic) = 0.388997342009242801476939217288
y[1] (numeric) = 0.38899734200924280147693921728784
absolute error = 1.6e-31
relative error = 4.1131386444331619007884568041014e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=675.2MB, alloc=4.4MB, time=26.17
x[1] = -0.465
y[1] (analytic) = 0.3893706961590084520147700178437
y[1] (numeric) = 0.3893706961590084520147700178436
absolute error = 1.0e-31
relative error = 2.5682466859078349082585606472768e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.464
y[1] (analytic) = 0.3897441609452234897973309125279
y[1] (numeric) = 0.38974416094522348979733091252784
absolute error = 6e-32
relative error = 1.5394714279871581511181539364635e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.463
y[1] (analytic) = 0.3901177363222801619243616618832
y[1] (numeric) = 0.39011773632228016192436166188309
absolute error = 1.1e-31
relative error = 2.8196615984956885002144713338830e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=679.0MB, alloc=4.4MB, time=26.32
x[1] = -0.462
y[1] (analytic) = 0.3904914222446137746970214497309
y[1] (numeric) = 0.39049142224461377469702144973081
absolute error = 9e-32
relative error = 2.3047881431726228096800693055145e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.461
y[1] (analytic) = 0.3908652186667026252771606350359
y[1] (numeric) = 0.39086521866670262527716063503574
absolute error = 1.6e-31
relative error = 4.0934826727684537935496311712144e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.46
y[1] (analytic) = 0.3912391255430679335002518881803
y[1] (numeric) = 0.39123912554306793350025188818026
absolute error = 4e-32
relative error = 1.0223926337754981564015623045110e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=682.8MB, alloc=4.4MB, time=26.48
x[1] = -0.459
y[1] (analytic) = 0.3916131428282737738415343262022
y[1] (numeric) = 0.39161314282827377384153432620209
absolute error = 1.1e-31
relative error = 2.8088944922932804909431359463267e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.458
y[1] (analytic) = 0.3919872704769270075349258493004
y[1] (numeric) = 0.39198727047692700753492584930039
absolute error = 1e-32
relative error = 2.5511032508359517916645308172858e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.457
y[1] (analytic) = 0.3923615084436772148442604619889
y[1] (numeric) = 0.39236150844367721484426046198885
absolute error = 5e-32
relative error = 1.2743349927042450852706977691726e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=686.6MB, alloc=4.4MB, time=26.64
x[1] = -0.456
y[1] (analytic) = 0.3927358566832166274864089367025
y[1] (numeric) = 0.39273585668321662748640893670248
absolute error = 2e-32
relative error = 5.0924812847257117035732133987518e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.455
y[1] (analytic) = 0.3931103151502800612058427454797
y[1] (numeric) = 0.39311031515028006120584274547964
absolute error = 6e-32
relative error = 1.5262891276984913928591733326353e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.454
y[1] (analytic) = 0.3934848837996448485002027465742
y[1] (numeric) = 0.39348488379964484850020274657411
absolute error = 9e-32
relative error = 2.2872543191729397809255106519674e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=690.4MB, alloc=4.4MB, time=26.80
x[1] = -0.453
y[1] (analytic) = 0.3938595625861307714964356675362
y[1] (numeric) = 0.39385956258613077149643566753617
absolute error = 3e-32
relative error = 7.6169281768903302930254401157195e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.452
y[1] (analytic) = 0.3942343514645999949770629744679
y[1] (numeric) = 0.39423435146459999497706297446784
absolute error = 6e-32
relative error = 1.5219373902121175030535222840576e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.451
y[1] (analytic) = 0.3946092503899569995561482588378
y[1] (numeric) = 0.39460925038995699955614825883766
absolute error = 1.4e-31
relative error = 3.5478134347243642109501849632556e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=694.3MB, alloc=4.4MB, time=26.97
x[1] = -0.45
y[1] (analytic) = 0.3949842593171485150045308084656
y[1] (numeric) = 0.39498425931714851500453080846556
absolute error = 4e-32
relative error = 1.0126985837145073369309951939617e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.449
y[1] (analytic) = 0.3953593782011634537238945580902
y[1] (numeric) = 0.3953593782011634537238945580901
absolute error = 1.0e-31
relative error = 2.5293443260404673130499592813914e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.448
y[1] (analytic) = 0.3957346069970328443692431373395
y[1] (numeric) = 0.39573460699703284436924313733935
absolute error = 1.5e-31
relative error = 3.7904190674212295091968721284452e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=698.1MB, alloc=4.4MB, time=27.13
x[1] = -0.447
y[1] (analytic) = 0.3961099456598297656193532499739
y[1] (numeric) = 0.39610994565982976561935324997383
absolute error = 7e-32
relative error = 1.7671861251399734314752392007962e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.446
y[1] (analytic) = 0.3964853941446692800947801279863
y[1] (numeric) = 0.39648539414466928009478012798617
absolute error = 1.3e-31
relative error = 3.2788093059631271515092652386101e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.445
y[1] (analytic) = 0.3968609524067083684229903075576
y[1] (numeric) = 0.3968609524067083684229903075575
absolute error = 1.0e-31
relative error = 2.5197742280656191514380385861290e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=701.9MB, alloc=4.4MB, time=27.29
x[1] = -0.444
y[1] (analytic) = 0.3972366204011458634501984710161
y[1] (numeric) = 0.39723662040114586345019847101601
absolute error = 9e-32
relative error = 2.2656521422701235729758735987070e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.443
y[1] (analytic) = 0.3976123980832223845994865898483
y[1] (numeric) = 0.39761239808322238459948658984811
absolute error = 1.9e-31
relative error = 4.7785230268456566559132997134917e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.442
y[1] (analytic) = 0.3979882854082202723747850885079
y[1] (numeric) = 0.39798828540822027237478508850776
absolute error = 1.4e-31
relative error = 3.5176914781901357389018684531169e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=705.7MB, alloc=4.4MB, time=27.45
x[1] = -0.441
y[1] (analytic) = 0.3983642823314635230102972272846
y[1] (numeric) = 0.39836428233146352301029722728446
absolute error = 1.4e-31
relative error = 3.5143712980651064203016787095843e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.44
y[1] (analytic) = 0.3987403888083177232649493748547
y[1] (numeric) = 0.39874038880831772326494937485461
absolute error = 9e-32
relative error = 2.2571076952845314645774242878691e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.439
y[1] (analytic) = 0.3991166047941899853614513073844
y[1] (numeric) = 0.39911660479418998536145130738429
absolute error = 1.1e-31
relative error = 2.7560867846308480738103728857985e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=709.5MB, alloc=4.4MB, time=27.61
x[1] = -0.438
y[1] (analytic) = 0.3994929302445288820695521312032
y[1] (numeric) = 0.39949293024452888206955213120309
absolute error = 1.1e-31
relative error = 2.7534905294236171815379652692059e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.437
y[1] (analytic) = 0.3998693651148243819330788801581
y[1] (numeric) = 0.39986936511482438193307888015798
absolute error = 1.2e-31
relative error = 3.0009800817209748411782145779439e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.436
y[1] (analytic) = 0.4002459093606077846403462868117
y[1] (numeric) = 0.40024590936060778464034628681167
absolute error = 3e-32
relative error = 7.4953920323445536683932170336357e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=713.3MB, alloc=4.4MB, time=27.77
x[1] = -0.435
y[1] (analytic) = 0.4006225629374516565375276687017
y[1] (numeric) = 0.40062256293745165653752766870154
absolute error = 1.6e-31
relative error = 3.9937840451832079566947940652896e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.434
y[1] (analytic) = 0.4009993258009697662845783069505
y[1] (numeric) = 0.40099932580096976628457830695035
absolute error = 1.5e-31
relative error = 3.7406546681938896148152454377087e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.433
y[1] (analytic) = 0.4013761979068170206533041246485
y[1] (numeric) = 0.40137619790681702065330412464843
absolute error = 7e-32
relative error = 1.7439997778904445531765376100051e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.432
memory used=717.1MB, alloc=4.4MB, time=27.93
y[1] (analytic) = 0.4017531792106894004671698966364
y[1] (numeric) = 0.40175317921068940046716989663634
absolute error = 6e-32
relative error = 1.4934542675649743041401029636552e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.431
y[1] (analytic) = 0.4021302696683238966824426406361
y[1] (numeric) = 0.40213026966832389668244264063607
absolute error = 3e-32
relative error = 7.4602690378776831800896079861222e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.43
y[1] (analytic) = 0.4025074692354984466102672521353
y[1] (numeric) = 0.40250746923549844661026725213515
absolute error = 1.5e-31
relative error = 3.7266389188976324897023012083780e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.429
y[1] (analytic) = 0.4028847778680318702792728520504
y[1] (numeric) = 0.4028847778680318702792728520503
absolute error = 1.0e-31
relative error = 2.4820992376325471253510847165928e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=721.0MB, alloc=4.4MB, time=28.09
TOP MAIN SOLVE Loop
x[1] = -0.428
y[1] (analytic) = 0.4032621955217838069383097170126
y[1] (numeric) = 0.40326219552178380693830971701254
absolute error = 6e-32
relative error = 1.4878657277150806471699799838604e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.427
y[1] (analytic) = 0.4036397221526546516989180571522
y[1] (numeric) = 0.40363972215265465169891805715205
absolute error = 1.5e-31
relative error = 3.7161852951447306470026756734628e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.426
y[1] (analytic) = 0.4040173577165854923171312955463
y[1] (numeric) = 0.40401735771658549231713129554614
absolute error = 1.6e-31
relative error = 3.9602258899044270045947228322000e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=724.8MB, alloc=4.4MB, time=28.25
x[1] = -0.425
y[1] (analytic) = 0.4043951021695580461142178870546
y[1] (numeric) = 0.40439510216955804611421788705441
absolute error = 1.9e-31
relative error = 4.6983754002128162453085507017016e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.424
y[1] (analytic) = 0.4047729554675945970359670921293
y[1] (numeric) = 0.40477295546759459703596709212917
absolute error = 1.3e-31
relative error = 3.2116770215002066462714532261626e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.423
y[1] (analytic) = 0.4051509175667579328501254933833
y[1] (numeric) = 0.40515091756675793285012549338315
absolute error = 1.5e-31
relative error = 3.7023240845871723772456400997611e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=728.6MB, alloc=4.4MB, time=28.41
x[1] = -0.422
y[1] (analytic) = 0.4055289884231512824815924092481
y[1] (numeric) = 0.40552898842315128248159240924795
absolute error = 1.5e-31
relative error = 3.6988724427138051648476308041598e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.421
y[1] (analytic) = 0.4059071679929182534849837199915
y[1] (numeric) = 0.40590716799291825348498371999144
absolute error = 6e-32
relative error = 1.4781704963891350368106917534382e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.42
y[1] (analytic) = 0.4062854562322427696541749767082
y[1] (numeric) = 0.40628545623224276965417497670813
absolute error = 7e-32
relative error = 1.7229265514241365454798416377372e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=732.4MB, alloc=4.4MB, time=28.57
x[1] = -0.419
y[1] (analytic) = 0.4066638530973490087684360136789
y[1] (numeric) = 0.4066638530973490087684360136788
absolute error = 1.0e-31
relative error = 2.4590334065433042934960309579289e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.418
y[1] (analytic) = 0.407042358544501340474770628742
y[1] (numeric) = 0.40704235854450134047477062874188
absolute error = 1.2e-31
relative error = 2.9480961251574650813203158116655e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.417
y[1] (analytic) = 0.4074209725300042643060762350542
y[1] (numeric) = 0.40742097253000426430607623505413
absolute error = 7e-32
relative error = 1.7181246111439413813103662170011e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=736.2MB, alloc=4.4MB, time=28.73
x[1] = -0.416
y[1] (analytic) = 0.4077996950102023478347397208696
y[1] (numeric) = 0.40779969501020234783473972086949
absolute error = 1.1e-31
relative error = 2.6974027039732831564861692854398e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.415
y[1] (analytic) = 0.4081785259414801649612870817574
y[1] (numeric) = 0.40817852594148016496128708175737
absolute error = 3e-32
relative error = 7.3497252043830074160745148600378e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.414
y[1] (analytic) = 0.4085574652802622343377057120417
y[1] (numeric) = 0.4085574652802622343377057120416
absolute error = 1.0e-31
relative error = 2.4476360976882897939859132803003e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=740.0MB, alloc=4.4MB, time=28.89
x[1] = -0.413
y[1] (analytic) = 0.4089365129830129579250595591942
y[1] (numeric) = 0.40893651298301295792505955919411
absolute error = 9e-32
relative error = 2.2008306214451082835107594611307e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.412
y[1] (analytic) = 0.4093156690062365596850186564888
y[1] (numeric) = 0.40931566900623655968501865648878
absolute error = 2e-32
relative error = 4.8862043440841911551031326528075e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.411
y[1] (analytic) = 0.4096949333064770244049258554361
y[1] (numeric) = 0.40969493330647702440492585543606
absolute error = 4e-32
relative error = 9.7633621380612823535683398089958e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=743.8MB, alloc=4.4MB, time=29.05
x[1] = -0.41
y[1] (analytic) = 0.4100743058403180366560248804034
y[1] (numeric) = 0.41007430584031803665602488040331
absolute error = 9e-32
relative error = 2.1947241931086944719577673868101e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.409
y[1] (analytic) = 0.4104537865643829198844751234044
y[1] (numeric) = 0.41045378656438291988447512340431
absolute error = 9e-32
relative error = 2.1926950839782979760064725061636e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.408
y[1] (analytic) = 0.4108333754353345756347798873392
y[1] (numeric) = 0.41083337543533457563477988733912
absolute error = 8e-32
relative error = 1.9472614637315913222396972132354e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=747.7MB, alloc=4.4MB, time=29.21
x[1] = -0.407
y[1] (analytic) = 0.4112130724098754229052560710072
y[1] (numeric) = 0.41121307240987542290525607100708
absolute error = 1.2e-31
relative error = 2.9181951657507218601208500506974e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.406
y[1] (analytic) = 0.4115928774447473376351745690265
y[1] (numeric) = 0.41159287744474733763517456902634
absolute error = 1.6e-31
relative error = 3.8873364620231692153969335995707e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.405
y[1] (analytic) = 0.4119727904967315923232019343969
y[1] (numeric) = 0.41197279049673159232320193439685
absolute error = 5e-32
relative error = 1.2136723869484938135656322904227e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=751.5MB, alloc=4.4MB, time=29.37
x[1] = -0.404
y[1] (analytic) = 0.4123528115226487957767751208654
y[1] (numeric) = 0.4123528115226487957767751208653
absolute error = 1.0e-31
relative error = 2.4251077525272899219127436725917e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.403
y[1] (analytic) = 0.4127329404793588329920423865142
y[1] (numeric) = 0.41273294047935883299204238651413
absolute error = 7e-32
relative error = 1.6960119519101181747010787131839e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.402
y[1] (analytic) = 0.4131131773237608051640046991263
y[1] (numeric) = 0.4131131773237608051640046991262
absolute error = 1.0e-31
relative error = 2.4206441597390399818385430209672e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=755.3MB, alloc=4.4MB, time=29.53
x[1] = -0.401
y[1] (analytic) = 0.4134935220127929698264932378971
y[1] (numeric) = 0.41349352201279296982649323789708
absolute error = 2e-32
relative error = 4.8368351462060450705654925753282e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.4
y[1] (analytic) = 0.413873974503432681121619835001
y[1] (numeric) = 0.41387397450343268112161983500094
absolute error = 6e-32
relative error = 1.4497166697178335985370397216795e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.399
y[1] (analytic) = 0.4142545347526963301983384443886
y[1] (numeric) = 0.41425453475269633019833844438852
absolute error = 8e-32
relative error = 1.9311798251709854131390881884412e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=759.1MB, alloc=4.4MB, time=29.69
x[1] = -0.398
y[1] (analytic) = 0.4146352027176392857397569640294
y[1] (numeric) = 0.41463520271763928573975696402939
absolute error = 1e-32
relative error = 2.4117585613708392000954302603133e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.397
y[1] (analytic) = 0.4150159783553558346188399716304
y[1] (numeric) = 0.41501597835535583461883997163025
absolute error = 1.5e-31
relative error = 3.6143186726069394164802571159077e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.396
y[1] (analytic) = 0.4153968616229791226821441626888
y[1] (numeric) = 0.41539686162297912268214416268868
absolute error = 1.2e-31
relative error = 2.8888037220876726644617304421432e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=762.9MB, alloc=4.4MB, time=29.86
x[1] = -0.395
y[1] (analytic) = 0.4157778524776810956612295036018
y[1] (numeric) = 0.41577785247768109566122950360174
absolute error = 6e-32
relative error = 1.4430783083430542436534985508632e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.394
y[1] (analytic) = 0.4161589508766724402113903314639
y[1] (numeric) = 0.41615895087667244021139033146379
absolute error = 1.1e-31
relative error = 2.6432208118622972324568476003339e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.393
y[1] (analytic) = 0.4165401567772025250773518461812
y[1] (numeric) = 0.41654015677720252507735184618116
absolute error = 4e-32
relative error = 9.6029156731208159694106993671828e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=766.7MB, alloc=4.4MB, time=30.03
x[1] = -0.392
y[1] (analytic) = 0.4169214701365593423855786496257
y[1] (numeric) = 0.41692147013655934238557864962568
absolute error = 2e-32
relative error = 4.7970664579708878008119334793100e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.391
y[1] (analytic) = 0.4173028909120694490628431907673
y[1] (numeric) = 0.4173028909120694490628431907673
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.39
y[1] (analytic) = 0.4176844190610979083807031750911
y[1] (numeric) = 0.41768441906109790838070317509104
absolute error = 6e-32
relative error = 1.4364912182952014572392155636734e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=770.6MB, alloc=4.4MB, time=30.19
x[1] = -0.389
y[1] (analytic) = 0.4180660545410482316255381911378
y[1] (numeric) = 0.41806605454104823162553819113773
absolute error = 7e-32
relative error = 1.6743765546056067160510838852927e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.388
y[1] (analytic) = 0.4184477973093623198937969967337
y[1] (numeric) = 0.41844779730936231989379699673363
absolute error = 7e-32
relative error = 1.6728490495135371383263821378195e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.387
y[1] (analytic) = 0.4188296473235204060121080924142
y[1] (numeric) = 0.41882964732352040601210809241407
absolute error = 1.3e-31
relative error = 3.1038872446291490401627997205527e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=774.4MB, alloc=4.4MB, time=30.35
x[1] = -0.386
y[1] (analytic) = 0.4192116045410409965819073897222
y[1] (numeric) = 0.41921160454104099658190738972214
absolute error = 6e-32
relative error = 1.4312580889951478947232311949210e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.385
y[1] (analytic) = 0.4195936689194808141482379574979
y[1] (numeric) = 0.41959366891948081414823795749779
absolute error = 1.1e-31
relative error = 2.6215838833619002958083262094039e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.384
y[1] (analytic) = 0.4199758404164347394923779999876
y[1] (numeric) = 0.41997584041643473949237799998752
absolute error = 8e-32
relative error = 1.9048714783372904073533122917487e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=778.2MB, alloc=4.4MB, time=30.50
x[1] = -0.383
y[1] (analytic) = 0.4203581189895357540479543866216
y[1] (numeric) = 0.42035811898953575404795438662147
absolute error = 1.3e-31
relative error = 3.0926011447690433190144736838357e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.382
y[1] (analytic) = 0.4207405045964548824402002146457
y[1] (numeric) = 0.42074050459645488244020021464556
absolute error = 1.4e-31
relative error = 3.3274666563010921018724786657963e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.381
y[1] (analytic) = 0.4211229971949011351480160424827
y[1] (numeric) = 0.42112299719490113514801604248263
absolute error = 7e-32
relative error = 1.6622222121866951948401115720876e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.38
y[1] (analytic) = 0.42150559674262145128849558375
y[1] (numeric) = 0.42150559674262145128849558374993
absolute error = 7e-32
relative error = 1.6607134173533453914827303476467e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=782.0MB, alloc=4.4MB, time=30.66
TOP MAIN SOLVE Loop
x[1] = -0.379
y[1] (analytic) = 0.4218883031974006415235777993023
y[1] (numeric) = 0.42188830319740064152357779930214
absolute error = 1.6e-31
relative error = 3.7924730026263927879524564858863e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.378
y[1] (analytic) = 0.4222711165170613310884884675209
y[1] (numeric) = 0.4222711165170613310884884675209
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.377
y[1] (analytic) = 0.4226540366594639029416354513545
y[1] (numeric) = 0.42265403665946390294163545135441
absolute error = 9e-32
relative error = 2.1294011696027830993320154543636e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=785.8MB, alloc=4.4MB, time=30.82
x[1] = -0.376
y[1] (analytic) = 0.4230370635825064410356230143456
y[1] (numeric) = 0.4230370635825064410356230143455
absolute error = 1.0e-31
relative error = 2.3638590707193824896743796905446e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.375
y[1] (analytic) = 0.4234201972441246737090516670945
y[1] (numeric) = 0.42342019724412467370905166709438
absolute error = 1.2e-31
relative error = 2.8340641467042135803345061598592e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.374
y[1] (analytic) = 0.4238034376022919171987711503039
y[1] (numeric) = 0.42380343760229191719877115030388
absolute error = 2e-32
relative error = 4.7191688942288656311914045488736e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=789.6MB, alloc=4.4MB, time=30.98
x[1] = -0.373
y[1] (analytic) = 0.4241867846150190192722552807715
y[1] (numeric) = 0.42418678461501901927225528077148
absolute error = 2e-32
relative error = 4.7149040765500235831898196485724e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.372
y[1] (analytic) = 0.424570238240354302979768502444
y[1] (numeric) = 0.4245702382403543029797685024439
absolute error = 1.0e-31
relative error = 2.3553228887275137000714675553006e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.371
y[1] (analytic) = 0.4249537984363835105259950959578
y[1] (numeric) = 0.4249537984363835105259950959577
absolute error = 1.0e-31
relative error = 2.3531969914835391961768111577315e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=793.4MB, alloc=4.4MB, time=31.14
x[1] = -0.37
y[1] (analytic) = 0.425337465161229747260803106973
y[1] (numeric) = 0.42533746516122974726080310697284
absolute error = 1.6e-31
relative error = 3.7617189433183343148542290531073e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.369
y[1] (analytic) = 0.4257212383730534257888161560867
y[1] (numeric) = 0.42572123837305342578881615608658
absolute error = 1.2e-31
relative error = 2.8187459112586184421852921856590e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.368
y[1] (analytic) = 0.4261051180300522101974673912123
y[1] (numeric) = 0.42610511803005221019746739121216
absolute error = 1.4e-31
relative error = 3.2855742415683944736683545439077e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=797.3MB, alloc=4.4MB, time=31.30
x[1] = -0.367
y[1] (analytic) = 0.4264891040904609604032109370407
y[1] (numeric) = 0.42648910409046096040321093704067
absolute error = 3e-32
relative error = 7.0341773593439366282783751447381e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.366
y[1] (analytic) = 0.4268731965125516766155672855954
y[1] (numeric) = 0.42687319651255167661556728559529
absolute error = 1.1e-31
relative error = 2.5768776512245970099084126356603e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.365
y[1] (analytic) = 0.4272573952546334439186801569551
y[1] (numeric) = 0.42725739525463344391868015695506
absolute error = 4e-32
relative error = 9.3620380698527453320628946625083e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=801.1MB, alloc=4.4MB, time=31.46
x[1] = -0.364
y[1] (analytic) = 0.4276417002750523769700634399893
y[1] (numeric) = 0.42764170027505237697006343998925
absolute error = 5e-32
relative error = 1.1692030961396138618989719713368e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.363
y[1] (analytic) = 0.4280261115321915648162178994244
y[1] (numeric) = 0.42802611153219156481621789942434
absolute error = 6e-32
relative error = 1.4017836385079380633596180742699e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.362
y[1] (analytic) = 0.428410628984471015824798407782
y[1] (numeric) = 0.42841062898447101582479840778184
absolute error = 1.6e-31
relative error = 3.7347346021566533881106588622175e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=804.9MB, alloc=4.4MB, time=31.62
x[1] = -0.361
y[1] (analytic) = 0.4287952525903476027330135286973
y[1] (numeric) = 0.42879525259034760273301352869722
absolute error = 8e-32
relative error = 1.8656922975877378061117871404019e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.36
y[1] (analytic) = 0.4291799823083150078119403418769
y[1] (numeric) = 0.42917998230831500781194034187682
absolute error = 8e-32
relative error = 1.8640198354481843234528615542889e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.359
y[1] (analytic) = 0.4295648180969036681464384594903
y[1] (numeric) = 0.42956481809690366814643845949017
absolute error = 1.3e-31
relative error = 3.0263186025321529623844354402558e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=808.7MB, alloc=4.4MB, time=31.78
x[1] = -0.358
y[1] (analytic) = 0.4299497599146807210303482391495
y[1] (numeric) = 0.42994975991468072103034823914939
absolute error = 1.1e-31
relative error = 2.5584384562007526748503759959245e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.357
y[1] (analytic) = 0.4303348077202499494766592498135
y[1] (numeric) = 0.43033480772024994947665924981339
absolute error = 1.1e-31
relative error = 2.5561492592880910633449003045084e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.356
y[1] (analytic) = 0.4307199614722517278423360939924
y[1] (numeric) = 0.4307199614722517278423360939924
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=812.5MB, alloc=4.4MB, time=31.94
x[1] = -0.355
y[1] (analytic) = 0.4311052211293629675674897325362
y[1] (numeric) = 0.43110522112936296756748973253611
absolute error = 9e-32
relative error = 2.0876573882410355800189777644471e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.354
y[1] (analytic) = 0.4314905866502970630285834970859
y[1] (numeric) = 0.43149058665029706302858349708577
absolute error = 1.3e-31
relative error = 3.0128119597973737278392838164945e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.353
y[1] (analytic) = 0.4318760579938038375053640099752
y[1] (numeric) = 0.43187605799380383750536400997511
absolute error = 9e-32
relative error = 2.0839312190186573770678541846691e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=816.3MB, alloc=4.4MB, time=32.10
x[1] = -0.352
y[1] (analytic) = 0.4322616351186694892612082619961
y[1] (numeric) = 0.43226163511866948926120826199596
absolute error = 1.4e-31
relative error = 3.2387792167020691635614372691985e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.351
y[1] (analytic) = 0.4326473179837165377365791250204
y[1] (numeric) = 0.43264731798371653773657912502033
absolute error = 7e-32
relative error = 1.6179460056801872113483108777642e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.35
y[1] (analytic) = 0.4330331065478037698552825990097
y[1] (numeric) = 0.43303310654780376985528259900966
absolute error = 4e-32
relative error = 9.2371690282263176052575663739103e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=820.1MB, alloc=4.4MB, time=32.27
x[1] = -0.349
y[1] (analytic) = 0.4334190007698261864432211114628
y[1] (numeric) = 0.43341900076982618644322111146274
absolute error = 6e-32
relative error = 1.3843417084490931450867201906147e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.348
y[1] (analytic) = 0.4338050006087149487593382018742
y[1] (numeric) = 0.43380500060871494875933820187417
absolute error = 3e-32
relative error = 6.9155496036016218748077526233908e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.347
y[1] (analytic) = 0.4341911060234373251384509343137
y[1] (numeric) = 0.43419110602343732513845093431359
absolute error = 1.1e-31
relative error = 2.5334466430563476058530119524917e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=824.0MB, alloc=4.4MB, time=32.42
x[1] = -0.346
y[1] (analytic) = 0.4345773169729966377456673878104
y[1] (numeric) = 0.4345773169729966377456673878103
absolute error = 1.0e-31
relative error = 2.3010865062295395240480829165430e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.345
y[1] (analytic) = 0.4349636334164322094420875768562
y[1] (numeric) = 0.43496363341643220944208757685611
absolute error = 9e-32
relative error = 2.0691384999958009887347563098310e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.344
y[1] (analytic) = 0.4353500553128193107614871530393
y[1] (numeric) = 0.43535005531281931076148715303926
absolute error = 4e-32
relative error = 9.1880084800398463714521319309581e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=827.8MB, alloc=4.4MB, time=32.57
x[1] = -0.343
y[1] (analytic) = 0.4357365826212691069976842336118
y[1] (numeric) = 0.43573658262126910699768423361181
absolute error = 1e-32
relative error = 2.2949645264675285814082859250133e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.342
y[1] (analytic) = 0.4361232153009286054022906936897
y[1] (numeric) = 0.43612321530092860540229069368957
absolute error = 1.3e-31
relative error = 2.9808089878980400259161375238163e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.341
y[1] (analytic) = 0.4365099533109806024925502458053
y[1] (numeric) = 0.43650995331098060249255024580519
absolute error = 1.1e-31
relative error = 2.5199883568664756253735449001364e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=831.6MB, alloc=4.4MB, time=32.72
x[1] = -0.34
y[1] (analytic) = 0.4368967966106436314689666136988
y[1] (numeric) = 0.43689679661064363146896661369873
absolute error = 7e-32
relative error = 1.6022090466912493662599997643292e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.339
y[1] (analytic) = 0.4372837451591719097424260865535
y[1] (numeric) = 0.43728374515917190974242608655344
absolute error = 6e-32
relative error = 1.3721067994000077463865775092574e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.338
y[1] (analytic) = 0.437670798915855286570519715385
y[1] (numeric) = 0.43767079891585528657051971538495
absolute error = 5e-32
relative error = 1.1424111483757632610502810376179e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=835.4MB, alloc=4.4MB, time=32.87
x[1] = -0.337
y[1] (analytic) = 0.4380579578400191908027713849865
y[1] (numeric) = 0.43805795784001919080277138498651
absolute error = 1e-32
relative error = 2.2828029535881748865588688519388e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.336
y[1] (analytic) = 0.438445221891024578734478962739
y[1] (numeric) = 0.4384452218910245787344789627389
absolute error = 1.0e-31
relative error = 2.2807866298256745144824975844919e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.335
y[1] (analytic) = 0.438832591028267882068876689728
y[1] (numeric) = 0.43883259102826788206887668972793
absolute error = 7e-32
relative error = 1.5951413233911533548500434488415e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=839.2MB, alloc=4.4MB, time=33.02
x[1] = -0.334
y[1] (analytic) = 0.4392200652111809559873279399921
y[1] (numeric) = 0.439220065211180955987327939992
absolute error = 1.0e-31
relative error = 2.2767630151850895288598018715333e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.333
y[1] (analytic) = 0.4396076443992310273272584303641
y[1] (numeric) = 0.43960764439923102732725843036403
absolute error = 7e-32
relative error = 1.5923289981834184353087582688444e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.332
y[1] (analytic) = 0.439995328551920642867540916293
y[1] (numeric) = 0.43999532855192064286754091629295
absolute error = 5e-32
relative error = 1.1363757011820152609997021632891e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.331
y[1] (analytic) = 0.4403831176287876177210433582464
y[1] (numeric) = 0.44038311762878761772104335824635
absolute error = 5e-32
relative error = 1.1353750404697967408297882473314e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=843.0MB, alloc=4.4MB, time=33.17
TOP MAIN SOLVE Loop
x[1] = -0.33
y[1] (analytic) = 0.440771011589404983834053488825
y[1] (numeric) = 0.44077101158940498383405348882487
absolute error = 1.3e-31
relative error = 2.9493772635188622730797966775928e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.329
y[1] (analytic) = 0.4411590103933809385922936525765
y[1] (numeric) = 0.44115901039338093859229365257639
absolute error = 1.1e-31
relative error = 2.4934320145000129858390772417842e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.328
y[1] (analytic) = 0.4415471140003587935332407287015
y[1] (numeric) = 0.44154711400035879353324072870137
absolute error = 1.3e-31
relative error = 2.9441931761758579686419977839327e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=846.8MB, alloc=4.4MB, time=33.32
x[1] = -0.327
y[1] (analytic) = 0.441935322370016923164466881405
y[1] (numeric) = 0.44193532237001692316446688140499
absolute error = 1e-32
relative error = 2.2627745495363122917921260331827e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.326
y[1] (analytic) = 0.4423236354620687138877178135947
y[1] (numeric) = 0.44232363546206871388771781359461
absolute error = 9e-32
relative error = 2.0347092668015004578120936163946e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.325
y[1] (analytic) = 0.4427120532362625130284461269578
y[1] (numeric) = 0.44271205323626251302844612695775
absolute error = 5e-32
relative error = 1.1294022747855129671365216927926e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=850.7MB, alloc=4.4MB, time=33.47
x[1] = -0.324
y[1] (analytic) = 0.4431005756523815779705183152027
y[1] (numeric) = 0.44310057565238157797051831520269
absolute error = 1e-32
relative error = 2.2568239694288133515113176280199e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.323
y[1] (analytic) = 0.4434892026702440253958148374173
y[1] (numeric) = 0.44348920267024402539581483741726
absolute error = 4e-32
relative error = 9.0193853106592906015958312626497e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.322
y[1] (analytic) = 0.4438779342497027806284436351169
y[1] (numeric) = 0.44387793424970278062844363511686
absolute error = 4e-32
relative error = 9.0114864726522016527704663000939e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=854.5MB, alloc=4.4MB, time=33.62
x[1] = -0.321
y[1] (analytic) = 0.4442667703506455270832883696266
y[1] (numeric) = 0.4442667703506455270832883696265
absolute error = 1.0e-31
relative error = 2.2508998348238650417326938785665e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.32
y[1] (analytic) = 0.4446557109329946558186135659894
y[1] (numeric) = 0.44465571093299465581861356598924
absolute error = 1.6e-31
relative error = 3.5982895545023251260202884354669e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.319
y[1] (analytic) = 0.4450447559567072151924497556308
y[1] (numeric) = 0.44504475595670721519244975563074
absolute error = 6e-32
relative error = 1.3481790133897598917191561617241e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=858.3MB, alloc=4.4MB, time=33.77
x[1] = -0.318
y[1] (analytic) = 0.4454339053817748606224826125521
y[1] (numeric) = 0.44543390538177486062248261255208
absolute error = 2e-32
relative error = 4.4900039620599365088523583112777e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.317
y[1] (analytic) = 0.4458231591682238044491709768865
y[1] (numeric) = 0.44582315916822380444917097688646
absolute error = 4e-32
relative error = 8.9721673666815228668327976787471e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.316
y[1] (analytic) = 0.4462125172761147659018195552551
y[1] (numeric) = 0.44621251727611476590181955525501
absolute error = 9e-32
relative error = 2.0169761383970389735098927828690e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=862.1MB, alloc=4.4MB, time=33.92
x[1] = -0.315
y[1] (analytic) = 0.4466019796655429211673329795085
y[1] (numeric) = 0.4466019796655429211673329795084
absolute error = 1.0e-31
relative error = 2.2391302446731045857863002180932e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.314
y[1] (analytic) = 0.4469915462966378535613787941593
y[1] (numeric) = 0.44699154629663785356137879415922
absolute error = 8e-32
relative error = 1.7897430200371048451769453822005e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.313
y[1] (analytic) = 0.4473812171295635038016878281111
y[1] (numeric) = 0.44738121712956350380168782811096
absolute error = 1.4e-31
relative error = 3.1293222567154714586404701028744e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=865.9MB, alloc=4.4MB, time=34.07
x[1] = -0.312
y[1] (analytic) = 0.4477709921245181203832212881874
y[1] (numeric) = 0.44777099212451812038322128818739
absolute error = 1e-32
relative error = 2.2332844636838726174138447947926e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.311
y[1] (analytic) = 0.448160871241734210054934790477
y[1] (numeric) = 0.44816087124173421005493479047693
absolute error = 7e-32
relative error = 1.5619391270382145409823669533243e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.31
y[1] (analytic) = 0.4485508544414784883978704206448
y[1] (numeric) = 0.44855085444147848839787042064469
absolute error = 1.1e-31
relative error = 2.4523417782130537616132939713404e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=869.7MB, alloc=4.4MB, time=34.23
x[1] = -0.309
y[1] (analytic) = 0.4489409416840518305043087861458
y[1] (numeric) = 0.44894094168405183050430878614568
absolute error = 1.2e-31
relative error = 2.6729573727417268818796228277679e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.308
y[1] (analytic) = 0.4493311329297892217577138917108
y[1] (numeric) = 0.44933113292978922175771389171066
absolute error = 1.4e-31
relative error = 3.1157422608834867646240075688648e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.307
y[1] (analytic) = 0.4497214281390597087132045345864
y[1] (numeric) = 0.44972142813905970871320453458632
absolute error = 8e-32
relative error = 1.7788789902904728964219322044090e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=873.6MB, alloc=4.4MB, time=34.39
x[1] = -0.306
y[1] (analytic) = 0.4501118272722663500782867778086
y[1] (numeric) = 0.45011182727226635007828677780858
absolute error = 2e-32
relative error = 4.4433402519552723671137902322154e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.305
y[1] (analytic) = 0.4505023302898461677935829182865
y[1] (numeric) = 0.45050233028984616779358291828634
absolute error = 1.6e-31
relative error = 3.5515909517506490434016412810953e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.304
y[1] (analytic) = 0.4508929371522700982132932216877
y[1] (numeric) = 0.45089293715227009821329322168762
absolute error = 8e-32
relative error = 1.7742571109066489889740958047203e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=877.4MB, alloc=4.4MB, time=34.55
x[1] = -0.303
y[1] (analytic) = 0.4512836478200429433851275480654
y[1] (numeric) = 0.45128364782004294338512754806538
absolute error = 2e-32
relative error = 4.4318025030624068478313998032516e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.302
y[1] (analytic) = 0.4516744622537033224294448408504
y[1] (numeric) = 0.45167446225370332242944484085032
absolute error = 8e-32
relative error = 1.7711871421914572123444822187283e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.301
y[1] (analytic) = 0.4520653804138236230173392972878
y[1] (numeric) = 0.45206538041382362301733929728771
absolute error = 9e-32
relative error = 1.9908624703270444633473421677709e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=881.2MB, alloc=4.4MB, time=34.71
x[1] = -0.3
y[1] (analytic) = 0.4524564022610099529474128806185
y[1] (numeric) = 0.45245640226100995294741288061838
absolute error = 1.2e-31
relative error = 2.6521892363626058543633146492422e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.299
y[1] (analytic) = 0.4528475277559020918209746733152
y[1] (numeric) = 0.45284752775590209182097467331507
absolute error = 1.3e-31
relative error = 2.8707234120106261899089976337106e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.298
y[1] (analytic) = 0.4532387568591734428154084064984
y[1] (numeric) = 0.45323875685917344281540840649831
absolute error = 9e-32
relative error = 1.9857083852156987436590768681223e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=885.0MB, alloc=4.4MB, time=34.87
x[1] = -0.297
y[1] (analytic) = 0.4536300895315309845554503332852
y[1] (numeric) = 0.45363008953153098455545033328512
absolute error = 8e-32
relative error = 1.7635514452451097528380209670329e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.296
y[1] (analytic) = 0.454021525733715223082120443283
y[1] (numeric) = 0.45402152573371522308212044328282
absolute error = 1.8e-31
relative error = 3.9645697350827911350659129097488e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.295
y[1] (analytic) = 0.4544130654265001439190508417434
y[1] (numeric) = 0.45441306542650014391905084174329
absolute error = 1.1e-31
relative error = 2.4207050450179484824325474124289e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=888.8MB, alloc=4.4MB, time=35.03
x[1] = -0.294
y[1] (analytic) = 0.4548047085706931642359559400541
y[1] (numeric) = 0.45480470857069316423595594005405
absolute error = 5e-32
relative error = 1.0993729628950880718014555102517e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.293
y[1] (analytic) = 0.4551964551271350851089899242749
y[1] (numeric) = 0.45519645512713508510898992427485
absolute error = 5e-32
relative error = 1.0984268316860055759168896220608e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.292
y[1] (analytic) = 0.4555883050567000438777377853464
y[1] (numeric) = 0.45558830505670004387773778534634
absolute error = 6e-32
relative error = 1.3169784942686956408789464354227e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=892.6MB, alloc=4.4MB, time=35.19
x[1] = -0.291
y[1] (analytic) = 0.4559802583202954665985870084144
y[1] (numeric) = 0.45598025832029546659858700841436
absolute error = 4e-32
relative error = 8.7723096055405736485769417185081e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.29
y[1] (analytic) = 0.4563723148788620205942278294427
y[1] (numeric) = 0.45637231487886202059422782944254
absolute error = 1.6e-31
relative error = 3.5059094249060633393433895193565e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.289
y[1] (analytic) = 0.4567644746933735670990307749418
y[1] (numeric) = 0.45676447469337356709903077494164
absolute error = 1.6e-31
relative error = 3.5028993904880223991069392957477e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=896.4MB, alloc=4.4MB, time=35.35
x[1] = -0.288
y[1] (analytic) = 0.457156737724837114000051005239
y[1] (numeric) = 0.45715673772483711400005100523893
absolute error = 7e-32
relative error = 1.5312035068841758513192746501304e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.287
y[1] (analytic) = 0.457549103934292768673409783259
y[1] (numeric) = 0.45754910393429276867340978325889
absolute error = 1.1e-31
relative error = 2.4041135487787287746169286880425e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.286
y[1] (analytic) = 0.457941573282813690915804189301
y[1] (numeric) = 0.45794157328281369091580418930088
absolute error = 1.2e-31
relative error = 2.6204216214694027997249812334397e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=900.3MB, alloc=4.4MB, time=35.51
x[1] = -0.285
y[1] (analytic) = 0.4583341457315060459708969977929
y[1] (numeric) = 0.45833414573150604597089699779282
absolute error = 8e-32
relative error = 1.7454514516329384758838484738993e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.284
y[1] (analytic) = 0.4587268212415089576503394244867
y[1] (numeric) = 0.45872682124150895765033942448665
absolute error = 5e-32
relative error = 1.0899733280185979744218114940910e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.283
y[1] (analytic) = 0.4591195997739944615491802420533
y[1] (numeric) = 0.45911959977399446154918024205324
absolute error = 6e-32
relative error = 1.3068490221183219294444815842006e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.282
y[1] (analytic) = 0.4595124812901674583554155485458
y[1] (numeric) = 0.45951248129016745835541554854564
absolute error = 1.6e-31
relative error = 3.4819511224324091703746377370488e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=904.1MB, alloc=4.4MB, time=35.67
TOP MAIN SOLVE Loop
x[1] = -0.281
y[1] (analytic) = 0.4599054657512656672534342567424
y[1] (numeric) = 0.4599054657512656672534342567423
absolute error = 1.0e-31
relative error = 2.1743598945197967216903543153521e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.28
y[1] (analytic) = 0.4602985531185595794211151529698
y[1] (numeric) = 0.46029855311855957942111515296975
absolute error = 5e-32
relative error = 1.0862515135284695918010302074501e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.279
y[1] (analytic) = 0.4606917433533524116203321516493
y[1] (numeric) = 0.46069174335335241162033215164926
absolute error = 4e-32
relative error = 8.6825953746950137659141319262829e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=907.9MB, alloc=4.4MB, time=35.83
x[1] = -0.278
y[1] (analytic) = 0.461085036416980059880625146528
y[1] (numeric) = 0.46108503641698005988062514652803
absolute error = 3e-32
relative error = 6.5063920167796646240247840789366e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.277
y[1] (analytic) = 0.4614784322708110532757946313541
y[1] (numeric) = 0.46147843227081105327579463135412
absolute error = 2e-32
relative error = 4.3338970147717169686509839826839e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.276
y[1] (analytic) = 0.4618719308762465077931790316494
y[1] (numeric) = 0.4618719308762465077931790316493
absolute error = 1.0e-31
relative error = 2.1651023436363336312164179299934e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=911.7MB, alloc=4.4MB, time=35.99
x[1] = -0.275
y[1] (analytic) = 0.4622655321947200802953744552371
y[1] (numeric) = 0.462265532194720080295374455237
absolute error = 1.0e-31
relative error = 2.1632588422767589441044259258961e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.274
y[1] (analytic) = 0.4626592361876979225741573323072
y[1] (numeric) = 0.46265923618769792257415733230705
absolute error = 1.5e-31
relative error = 3.2421269968799660966111976476481e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.273
y[1] (analytic) = 0.4630530428166786354963711760564
y[1] (numeric) = 0.46305304281667863549637117605632
absolute error = 8e-32
relative error = 1.7276638441542812478913945390148e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=915.5MB, alloc=4.4MB, time=36.15
x[1] = -0.272
y[1] (analytic) = 0.4634469520431932232415394523483
y[1] (numeric) = 0.4634469520431932232415394523483
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.271
y[1] (analytic) = 0.4638409638288050476309673013964
y[1] (numeric) = 0.46384096382880504763096730139638
absolute error = 2e-32
relative error = 4.3118227064096958086856717026597e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.27
y[1] (analytic) = 0.4642350781351097825480956062084
y[1] (numeric) = 0.46423507813510978254809560620831
absolute error = 9e-32
relative error = 1.9386729749406534848792677947539e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=919.3MB, alloc=4.4MB, time=36.31
x[1] = -0.269
y[1] (analytic) = 0.4646292949237353684498716514446
y[1] (numeric) = 0.46462929492373536844987165144453
absolute error = 7e-32
relative error = 1.5065774105244452378221077845832e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.268
y[1] (analytic) = 0.4650236141563419669689013624537
y[1] (numeric) = 0.46502361415634196696890136245359
absolute error = 1.1e-31
relative error = 2.3654712718098173151198821588267e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.267
y[1] (analytic) = 0.4654180357946219156061488575653
y[1] (numeric) = 0.46541803579462191560614885756529
absolute error = 1e-32
relative error = 2.1486060339124386476548292046022e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=923.1MB, alloc=4.4MB, time=36.47
x[1] = -0.266
y[1] (analytic) = 0.4658125598002996825139497872592
y[1] (numeric) = 0.46581255980029968251394978725908
absolute error = 1.2e-31
relative error = 2.5761435039760556813531266270155e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.265
y[1] (analytic) = 0.4662071861351318213691056715932
y[1] (numeric) = 0.46620718613513182136910567159309
absolute error = 1.1e-31
relative error = 2.3594659900440939649241730764917e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.264
y[1] (analytic) = 0.4666019147609069263358271822904
y[1] (numeric) = 0.46660191476090692633582718229036
absolute error = 4e-32
relative error = 8.5726180571926148238015095187123e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=927.0MB, alloc=4.4MB, time=36.64
x[1] = -0.263
y[1] (analytic) = 0.4669967456394455871182950481451
y[1] (numeric) = 0.46699674563944558711829504814498
absolute error = 1.2e-31
relative error = 2.5696110544772074387888096474406e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.262
y[1] (analytic) = 0.4673916787326003441026079919442
y[1] (numeric) = 0.46739167873260034410260799194407
absolute error = 1.3e-31
relative error = 2.7813931209154957237657129934910e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.261
y[1] (analytic) = 0.4677867140022556435878878339131
y[1] (numeric) = 0.46778671400225564358788783391301
absolute error = 9e-32
relative error = 1.9239537444316134341365241143118e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=930.8MB, alloc=4.4MB, time=36.80
x[1] = -0.26
y[1] (analytic) = 0.4681818514103277931063126207937
y[1] (numeric) = 0.46818185141032779310631262079368
absolute error = 2e-32
relative error = 4.2718443570063623258559937015949e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.259
y[1] (analytic) = 0.4685770909187649168318493610695
y[1] (numeric) = 0.46857709091876491683184936106947
absolute error = 3e-32
relative error = 6.4023616564730783683066768019075e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.258
y[1] (analytic) = 0.4689724324895469110774586655686
y[1] (numeric) = 0.46897243248954691107745866556856
absolute error = 4e-32
relative error = 8.5292859939889054884712277469236e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=934.6MB, alloc=4.4MB, time=36.96
x[1] = -0.257
y[1] (analytic) = 0.4693678760846853998805443087201
y[1] (numeric) = 0.46936787608468539988054430872004
absolute error = 6e-32
relative error = 1.2783150074202039817981046930546e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.256
y[1] (analytic) = 0.469763421666223690676421439117
y[1] (numeric) = 0.46976342166622369067642143911696
absolute error = 4e-32
relative error = 8.5149243545021690199097461373164e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.255
y[1] (analytic) = 0.4701590691962367300595778787682
y[1] (numeric) = 0.47015906919623673005957787876812
absolute error = 8e-32
relative error = 1.7015517777156672120133361737104e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=938.4MB, alloc=4.4MB, time=37.12
x[1] = -0.254
y[1] (analytic) = 0.4705548186368310596325036585076
y[1] (numeric) = 0.47055481863683105963250365850757
absolute error = 3e-32
relative error = 6.3754527234272494187975639237000e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.253
y[1] (analytic) = 0.470950669950144771941864642489
y[1] (numeric) = 0.47095066995014477194186464248888
absolute error = 1.2e-31
relative error = 2.5480375686205797182203302149401e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.252
y[1] (analytic) = 0.4713466230983474665017967975312
y[1] (numeric) = 0.47134662309834746650179679753119
absolute error = 1e-32
relative error = 2.1215809151800115729554774364184e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=942.2MB, alloc=4.4MB, time=37.28
x[1] = -0.251
y[1] (analytic) = 0.4717426780436402059040983633174
y[1] (numeric) = 0.47174267804364020590409836331734
absolute error = 6e-32
relative error = 1.2718798360331835443352466940220e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.25
y[1] (analytic) = 0.4721388347482554720150978770824
y[1] (numeric) = 0.47213883474825547201509787708232
absolute error = 8e-32
relative error = 1.6944168560642976374514255938563e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.249
y[1] (analytic) = 0.4725350931744571222589767014835
y[1] (numeric) = 0.47253509317445712225897670148334
absolute error = 1.6e-31
relative error = 3.3859919043288698060327828762845e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=946.0MB, alloc=4.4MB, time=37.44
x[1] = -0.248
y[1] (analytic) = 0.4729314532845403459873253968231
y[1] (numeric) = 0.47293145328454034598732539682295
absolute error = 1.5e-31
relative error = 3.1717069980911618356513065315958e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.247
y[1] (analytic) = 0.473327915040831620934713968714
y[1] (numeric) = 0.47332791504083162093471396871391
absolute error = 9e-32
relative error = 1.9014302165600385562799722355929e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.246
y[1] (analytic) = 0.4737244784056886697600567096406
y[1] (numeric) = 0.47372447840568866976005670964059
absolute error = 1e-32
relative error = 2.1109316608790879126655044460945e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=949.8MB, alloc=4.4MB, time=37.60
x[1] = -0.245
y[1] (analytic) = 0.4741211433415004166735530376973
y[1] (numeric) = 0.47412114334150041667355303769721
absolute error = 9e-32
relative error = 1.8982490290498332946719367149514e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.244
y[1] (analytic) = 0.4745179098106869441489864180787
y[1] (numeric) = 0.4745179098106869441489864180786
absolute error = 1.0e-31
relative error = 2.1074020164991427102299275699914e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.243
y[1] (analytic) = 0.4749147777756994497211641326763
y[1] (numeric) = 0.47491477777569944972116413267627
absolute error = 3e-32
relative error = 6.3169228257135625833830988616593e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=953.7MB, alloc=4.4MB, time=37.76
x[1] = -0.242
y[1] (analytic) = 0.4753117471990202028682813404008
y[1] (numeric) = 0.47531174719902020286828134040071
absolute error = 9e-32
relative error = 1.8934941231804995037808701390678e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.241
y[1] (analytic) = 0.4757088180431625019789935456221
y[1] (numeric) = 0.47570881804316250197899354562201
absolute error = 9e-32
relative error = 1.8919136367960710661194947757196e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.24
y[1] (analytic) = 0.4761059902706706314039822644049
y[1] (numeric) = 0.47610599027067063140398226440476
absolute error = 1.4e-31
relative error = 2.9405217086306499367248566171205e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=957.5MB, alloc=4.4MB, time=37.92
x[1] = -0.239
y[1] (analytic) = 0.4765032638441198185917993480211
y[1] (numeric) = 0.47650326384411981859179934802103
absolute error = 7e-32
relative error = 1.4690350583390619783643278656566e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.238
y[1] (analytic) = 0.476900638726116191308776090567
y[1] (numeric) = 0.47690063872611619130877609056689
absolute error = 1.1e-31
relative error = 2.3065601315575705777284939065359e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.237
y[1] (analytic) = 0.4772981148792967349427839123949
y[1] (numeric) = 0.47729811487929673494278391239476
absolute error = 1.4e-31
relative error = 2.9331773085968380121077491508373e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.236
y[1] (analytic) = 0.4776956922663292498906340735153
y[1] (numeric) = 0.47769569226632924989063407351515
absolute error = 1.5e-31
relative error = 3.1400743701153292971425396013568e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=961.3MB, alloc=4.4MB, time=38.08
TOP MAIN SOLVE Loop
x[1] = -0.235
y[1] (analytic) = 0.4780933708499123090289045311288
y[1] (numeric) = 0.47809337084991230902890453112877
absolute error = 3e-32
relative error = 6.2749249057079877188147225632738e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.234
y[1] (analytic) = 0.4784911505927752152679827130328
y[1] (numeric) = 0.47849115059277521526798271303269
absolute error = 1.1e-31
relative error = 2.2988930905770632400517820578803e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.233
y[1] (analytic) = 0.4788890314576779591891136338133
y[1] (numeric) = 0.47888903145767795918911363381324
absolute error = 6e-32
relative error = 1.2528998590209416374269955829927e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=965.1MB, alloc=4.4MB, time=38.24
x[1] = -0.232
y[1] (analytic) = 0.4792870134074111767642434335037
y[1] (numeric) = 0.4792870134074111767642434335036
absolute error = 1.0e-31
relative error = 2.0864324966592910400784838937724e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.231
y[1] (analytic) = 0.4796850964047961071584490687559
y[1] (numeric) = 0.47968509640479610715844906875579
absolute error = 1.1e-31
relative error = 2.2931710996326916644923786813827e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.23
y[1] (analytic) = 0.480083280412684550614745534565
y[1] (numeric) = 0.48008328041268455061474553456497
absolute error = 3e-32
relative error = 6.2489158077347934051266838028284e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=968.9MB, alloc=4.4MB, time=38.40
x[1] = -0.229
y[1] (analytic) = 0.4804815653939588264210626401994
y[1] (numeric) = 0.48048156539395882642106264019924
absolute error = 1.6e-31
relative error = 3.3299924809563090525887079610918e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.228
y[1] (analytic) = 0.4808799513115317309591840062396
y[1] (numeric) = 0.4808799513115317309591840062395
absolute error = 1.0e-31
relative error = 2.0795210889383974246763592306957e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.227
y[1] (analytic) = 0.4812784381283464958354415905329
y[1] (numeric) = 0.48127843812834649583544159053273
absolute error = 1.7e-31
relative error = 3.5322588034717793864484478969943e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=972.7MB, alloc=4.4MB, time=38.56
x[1] = -0.226
y[1] (analytic) = 0.4816770258073767460929596894169
y[1] (numeric) = 0.48167702580737674609295968941686
absolute error = 4e-32
relative error = 8.3043196700014608467540251664678e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.225
y[1] (analytic) = 0.4820757143116264585052429967973
y[1] (numeric) = 0.48207571431162645850524299679712
absolute error = 1.8e-31
relative error = 3.7338533067783466840036110955171e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.224
y[1] (analytic) = 0.4824745036041299199509039375518
y[1] (numeric) = 0.48247450360412991995090393755169
absolute error = 1.1e-31
relative error = 2.2799132219068500864477955050435e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=976.5MB, alloc=4.4MB, time=38.72
x[1] = -0.223
y[1] (analytic) = 0.4828733936479516858693251233287
y[1] (numeric) = 0.48287339364795168586932512332859
absolute error = 1.1e-31
relative error = 2.2780298406790591675267009296402e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.222
y[1] (analytic) = 0.4832723844061865387970534080759
y[1] (numeric) = 0.48327238440618653879705340807578
absolute error = 1.2e-31
relative error = 2.4830717390866052149912041185744e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.221
y[1] (analytic) = 0.4836714758419594469847226476322
y[1] (numeric) = 0.48367147584195944698472264763212
absolute error = 8e-32
relative error = 1.6540152561351405510117434117705e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=980.4MB, alloc=4.4MB, time=38.88
x[1] = -0.22
y[1] (analytic) = 0.4840706679184255230943028924077
y[1] (numeric) = 0.4840706679184255230943028924077
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.219
y[1] (analytic) = 0.484469960598769982976474364608
y[1] (numeric) = 0.48446996059876998297647436460785
absolute error = 1.5e-31
relative error = 3.0961671971283999116954736195598e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.218
y[1] (analytic) = 0.4848693538462081045279251916154
y[1] (numeric) = 0.48486935384620810452792519161535
absolute error = 5e-32
relative error = 1.0312056145305299416388686177174e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=984.2MB, alloc=4.4MB, time=39.04
x[1] = -0.217
y[1] (analytic) = 0.4852688476239851866283724850497
y[1] (numeric) = 0.4852688476239851866283724850496
absolute error = 1.0e-31
relative error = 2.0607133651712560609645570070926e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.216
y[1] (analytic) = 0.4856684418953765081571069706791
y[1] (numeric) = 0.48566844189537650815710697067896
absolute error = 1.4e-31
relative error = 2.8826250158160169172127235633136e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.215
y[1] (analytic) = 0.4860681366236872870888619877833
y[1] (numeric) = 0.48606813662368728708886198778313
absolute error = 1.7e-31
relative error = 3.4974520482014966320150325489736e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=988.0MB, alloc=4.4MB, time=39.20
x[1] = -0.214
y[1] (analytic) = 0.486467931772252639668808287755
y[1] (numeric) = 0.48646793177225263966880828775489
absolute error = 1.1e-31
relative error = 2.2611973537342677882842551965417e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.213
y[1] (analytic) = 0.4868678273044375396664766707051
y[1] (numeric) = 0.48686782730443753966647667070502
absolute error = 8e-32
relative error = 1.6431564279554695237360192852769e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.212
y[1] (analytic) = 0.4872678231836367777084111055993
y[1] (numeric) = 0.48726782318363677770841110559913
absolute error = 1.7e-31
relative error = 3.4888410831086633552677705782254e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=991.8MB, alloc=4.4MB, time=39.36
x[1] = -0.211
y[1] (analytic) = 0.4876679193732749206893555840207
y[1] (numeric) = 0.48766791937327492068935558402057
absolute error = 1.3e-31
relative error = 2.6657484496226272347624761624156e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.21
y[1] (analytic) = 0.4880681158368062712617785600281
y[1] (numeric) = 0.48806811583680627126177856002801
absolute error = 9e-32
relative error = 1.8440049058663156689380977317574e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.209
y[1] (analytic) = 0.4884684125377148274035394287694
y[1] (numeric) = 0.48846841253771482740353942876935
absolute error = 5e-32
relative error = 1.0236076421039708774395003057965e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=995.6MB, alloc=4.4MB, time=39.52
x[1] = -0.208
y[1] (analytic) = 0.4888688094395142420635020945345
y[1] (numeric) = 0.48886880943951424206350209453439
absolute error = 1.1e-31
relative error = 2.2500924148978634014127305030547e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.207
y[1] (analytic) = 0.4892693065057477828849012747859
y[1] (numeric) = 0.48926930650574778288490127478583
absolute error = 7e-32
relative error = 1.4307049117780222307788238409587e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.206
y[1] (analytic) = 0.4896699036999882920062677804115
y[1] (numeric) = 0.48966990369998829200626778041133
absolute error = 1.7e-31
relative error = 3.4717265389493053439472759633932e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=999.4MB, alloc=4.4MB, time=39.68
x[1] = -0.205
y[1] (analytic) = 0.4900706009858381459397196039971
y[1] (numeric) = 0.49007060098583814593971960399705
absolute error = 5e-32
relative error = 1.0202611603189165588323239094172e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.204
y[1] (analytic) = 0.4904713983269292155264262373446
y[1] (numeric) = 0.49047139832692921552642623734446
absolute error = 1.4e-31
relative error = 2.8543968206415459248176877711311e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.203
y[1] (analytic) = 0.4908722956869228259690542267462
y[1] (numeric) = 0.49087229568692282596905422674617
absolute error = 3e-32
relative error = 6.1115691929645848496366153474627e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1003.3MB, alloc=4.4MB, time=39.84
x[1] = -0.202
y[1] (analytic) = 0.4912732930295097169410025597119
y[1] (numeric) = 0.49127329302950971694100255971173
absolute error = 1.7e-31
relative error = 3.4603957188812311477146749803418e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.201
y[1] (analytic) = 0.4916743903184100027722370599003
y[1] (numeric) = 0.49167439031841000277223705990014
absolute error = 1.6e-31
relative error = 3.2541861677274559151078120381286e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.2
y[1] (analytic) = 0.4920755875173731327115335479803
y[1] (numeric) = 0.49207558751737313271153354798017
absolute error = 1.3e-31
relative error = 2.6418705438300217086777338368493e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1007.1MB, alloc=4.4MB, time=40.00
x[1] = -0.199
y[1] (analytic) = 0.4924768845901778512649401050121
y[1] (numeric) = 0.49247688459017785126494010501202
absolute error = 8e-32
relative error = 1.6244417251496630106725160926333e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.198
y[1] (analytic) = 0.4928782815006321586102693517328
y[1] (numeric) = 0.49287828150063215861026935173261
absolute error = 1.9e-31
relative error = 3.8549071267965031793919832170225e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.197
y[1] (analytic) = 0.4932797782125732710874322318408
y[1] (numeric) = 0.49327977821257327108743223184063
absolute error = 1.7e-31
relative error = 3.4463200704477378138348385385580e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1010.9MB, alloc=4.4MB, time=40.16
x[1] = -0.196
y[1] (analytic) = 0.4936813746898675817644253600252
y[1] (numeric) = 0.49368137468986758176442536002512
absolute error = 8e-32
relative error = 1.6204783915588528780787840052974e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.195
y[1] (analytic) = 0.4940830708964106210787845660712
y[1] (numeric) = 0.4940830708964106210787845660711
absolute error = 1.0e-31
relative error = 2.0239511509384620115684846725248e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.194
y[1] (analytic) = 0.4944848667961270175543178349167
y[1] (numeric) = 0.4944848667961270175543178349166
absolute error = 1.0e-31
relative error = 2.0223065803392799762935870708611e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.193
y[1] (analytic) = 0.4948867623529704585929314090356
y[1] (numeric) = 0.49488676235297045859293140903541
memory used=1014.7MB, alloc=4.4MB, time=40.32
absolute error = 1.9e-31
relative error = 3.8392621192095130019342657214791e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.192
y[1] (analytic) = 0.4952887575309236513413633839877
y[1] (numeric) = 0.4952887575309236513413633839876
absolute error = 1.0e-31
relative error = 2.0190242253531555252501622245458e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.191
y[1] (analytic) = 0.495690852293998283632639690424
y[1] (numeric) = 0.49569085229399828363263969042385
absolute error = 1.5e-31
relative error = 3.0260796483497294342836039888743e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.19
y[1] (analytic) = 0.4960930466062349850020679162583
y[1] (numeric) = 0.49609304660623498500206791625822
absolute error = 8e-32
relative error = 1.6126007116463088494104307725824e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1018.5MB, alloc=4.4MB, time=40.48
x[1] = -0.189
y[1] (analytic) = 0.4964953404317032877775849811455
y[1] (numeric) = 0.49649534043170328777758498114533
absolute error = 1.7e-31
relative error = 3.4239999080793950298344721718494e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.188
y[1] (analytic) = 0.4968977337345015882442752318207
y[1] (numeric) = 0.49689773373450158824427523182054
absolute error = 1.6e-31
relative error = 3.2199784611110727410011344171409e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.187
y[1] (analytic) = 0.4973002264787571078828760812939
y[1] (numeric) = 0.49730022647875710788287608129383
absolute error = 7e-32
relative error = 1.4076004046016687336839031729029e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1022.3MB, alloc=4.4MB, time=40.64
x[1] = -0.186
y[1] (analytic) = 0.4977028186286258546820888673379
y[1] (numeric) = 0.49770281862862585468208886733781
absolute error = 9e-32
relative error = 1.8083080230083222544822219641463e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.185
y[1] (analytic) = 0.4981055101482925845245131561858
y[1] (numeric) = 0.49810551014829258452451315618569
absolute error = 1.1e-31
relative error = 2.2083674594816577753850421805085e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.184
y[1] (analytic) = 0.4985083010019707626460232658651
y[1] (numeric) = 0.49850830100197076264602326586495
absolute error = 1.5e-31
relative error = 3.0089769758800265606273055706337e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1026.1MB, alloc=4.4MB, time=40.81
x[1] = -0.183
y[1] (analytic) = 0.4989111911539025251684063301439
y[1] (numeric) = 0.49891119115390252516840633014375
absolute error = 1.5e-31
relative error = 3.0065471101795445749093115077896e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.182
y[1] (analytic) = 0.4993141805683586407050817686692
y[1] (numeric) = 0.49931418056835864070508176866912
absolute error = 8e-32
relative error = 1.6021976365449447663441493898547e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.181
y[1] (analytic) = 0.4997172692096384720397225715361
y[1] (numeric) = 0.49971726920963847203972257153604
absolute error = 6e-32
relative error = 1.2006789378101149873754121010840e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1030.0MB, alloc=4.4MB, time=40.97
x[1] = -0.18
y[1] (analytic) = 0.5001204570420699378775993472525
y[1] (numeric) = 0.50012045704206993787759934725248
absolute error = 2e-32
relative error = 3.9990365757659074915371451333217e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.179
y[1] (analytic) = 0.5005237440300094746694686218662
y[1] (numeric) = 0.50052374403000947466946862186607
absolute error = 1.3e-31
relative error = 2.5972793808600157242701121742929e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.178
y[1] (analytic) = 0.5009271301378419985078274139003
y[1] (numeric) = 0.50092713013784199850782741390014
absolute error = 1.6e-31
relative error = 3.1940773492538166075977359613444e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1033.8MB, alloc=4.4MB, time=41.13
x[1] = -0.177
y[1] (analytic) = 0.5013306153299808670953566447196
y[1] (numeric) = 0.50133061532998086709535664471951
absolute error = 9e-32
relative error = 1.7952224988446215741325888917952e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.176
y[1] (analytic) = 0.5017341995708678417853764770163
y[1] (numeric) = 0.50173419957086784178537647701613
absolute error = 1.7e-31
relative error = 3.3882482028412778396451688101818e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.175
y[1] (analytic) = 0.5021378828249730496941372052807
y[1] (numeric) = 0.50213788282497304969413720528059
absolute error = 1.1e-31
relative error = 2.1906333651058545549584582789875e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1037.6MB, alloc=4.4MB, time=41.29
x[1] = -0.174
y[1] (analytic) = 0.5025416650567949458847698514145
y[1] (numeric) = 0.50254166505679494588476985141443
absolute error = 7e-32
relative error = 1.3929193312178189682275083777692e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.173
y[1] (analytic) = 0.5029455462308602756227211460483
y[1] (numeric) = 0.5029455462308602756227211460482
absolute error = 1.0e-31
relative error = 1.9882868185117272259557087629414e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.172
y[1] (analytic) = 0.5033495263117240367024981016693
y[1] (numeric) = 0.50334952631172403670249810166924
absolute error = 6e-32
relative error = 1.1920146312572873811269638655088e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1041.4MB, alloc=4.4MB, time=41.45
x[1] = -0.171
y[1] (analytic) = 0.5037536052639694418455479073384
y[1] (numeric) = 0.5037536052639694418455479073383
absolute error = 1.0e-31
relative error = 1.9850974554832117433027188200254e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.17
y[1] (analytic) = 0.5041577830522078811690993965937
y[1] (numeric) = 0.50415778305220788116909939659365
absolute error = 5e-32
relative error = 9.9175301226723832325812898434680e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.169
y[1] (analytic) = 0.5045620596410788847257928601124
y[1] (numeric) = 0.50456205964107888472579286011225
absolute error = 1.5e-31
relative error = 2.9728751326784809349159484980718e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1045.2MB, alloc=4.4MB, time=41.61
x[1] = -0.168
y[1] (analytic) = 0.5049664349952500851139254928281
y[1] (numeric) = 0.504966434995250085113925492828
absolute error = 1.0e-31
relative error = 1.9803296431165893179636268374869e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.167
y[1] (analytic) = 0.505370909079417180158140281504
y[1] (numeric) = 0.50537090907941718015814028150388
absolute error = 1.2e-31
relative error = 2.3744936213006760392945556095785e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.166
y[1] (analytic) = 0.5057754818583038956603866532262
y[1] (numeric) = 0.50577548185830389566038665322616
absolute error = 4e-32
relative error = 7.9086474996837125080341588018423e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1049.0MB, alloc=4.4MB, time=41.78
x[1] = -0.165
y[1] (analytic) = 0.506180153296661948220981717942
y[1] (numeric) = 0.50618015329666194822098171794188
absolute error = 1.2e-31
relative error = 2.3706974526452922287052393747188e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.164
y[1] (analytic) = 0.5065849233592710081296014490027
y[1] (numeric) = 0.50658492335927100812960144900254
absolute error = 1.6e-31
relative error = 3.1584042995003957179310390970093e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.163
y[1] (analytic) = 0.5069897920109386623260316547159
y[1] (numeric) = 0.50698979201093866232603165471572
absolute error = 1.8e-31
relative error = 3.5503673414417853417423394163537e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1052.8MB, alloc=4.4MB, time=41.95
x[1] = -0.162
y[1] (analytic) = 0.5073947592165003774305091011486
y[1] (numeric) = 0.50739475921650037743050910114849
absolute error = 1.1e-31
relative error = 2.1679372520492289252945972928115e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.161
y[1] (analytic) = 0.5077998249408194628434836518803
y[1] (numeric) = 0.50779982494081946284348365188009
absolute error = 2.1e-31
relative error = 4.1354878376429932634103460151002e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.16
y[1] (analytic) = 0.5082049891487870339146327940732
y[1] (numeric) = 0.50820498914878703391463279407311
absolute error = 9e-32
relative error = 1.7709389305828071067492655951937e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1056.7MB, alloc=4.4MB, time=42.11
x[1] = -0.159
y[1] (analytic) = 0.5086102518053219751809604221302
y[1] (numeric) = 0.50861025180532197518096042213008
absolute error = 1.2e-31
relative error = 2.3593704526021185658856594973985e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.158
y[1] (analytic) = 0.509015612875370903673812250333
y[1] (numeric) = 0.50901561287537090367381225033284
absolute error = 1.6e-31
relative error = 3.1433220505001472059286575169810e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.157
y[1] (analytic) = 0.5094210723239081322946407242327
y[1] (numeric) = 0.50942107232390813229464072423251
absolute error = 1.9e-31
relative error = 3.7297240008790057763860743870966e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1060.5MB, alloc=4.4MB, time=42.26
x[1] = -0.156
y[1] (analytic) = 0.5098266301159356332593527971758
y[1] (numeric) = 0.50982663011593563325935279717572
absolute error = 8e-32
relative error = 1.5691608730169280104120562901190e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.155
y[1] (analytic) = 0.5102322862164830016110744332249
y[1] (numeric) = 0.5102322862164830016110744332248
absolute error = 1.0e-31
relative error = 1.9598916552601627636648278403007e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.154
y[1] (analytic) = 0.5106380405906074188011661908633
y[1] (numeric) = 0.5106380405906074188011661908631
absolute error = 2.0e-31
relative error = 3.9166686400542866806359821303007e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1064.3MB, alloc=4.4MB, time=42.41
x[1] = -0.153
y[1] (analytic) = 0.5110438932033936163383247332788
y[1] (numeric) = 0.51104389320339361633832473327864
absolute error = 1.6e-31
relative error = 3.1308465305605477648257365356729e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.152
y[1] (analytic) = 0.5114498440199538395056056006969
y[1] (numeric) = 0.5114498440199538395056056006967
absolute error = 2.0e-31
relative error = 3.9104518720353182294665286670392e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.151
y[1] (analytic) = 0.511855893005427811145203068192
y[1] (numeric) = 0.51185589300542781114520306819179
absolute error = 2.1e-31
relative error = 4.1027172465859081661552036934002e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1068.1MB, alloc=4.4MB, time=42.56
x[1] = -0.15
y[1] (analytic) = 0.5122620401249826955108233986591
y[1] (numeric) = 0.51226204012498269551082339865897
absolute error = 1.3e-31
relative error = 2.5377636798596738784737429869051e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.149
y[1] (analytic) = 0.5126682853438130621874882851701
y[1] (numeric) = 0.51266828534381306218748828516993
absolute error = 1.7e-31
relative error = 3.3159843286578986913505002264964e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.148
y[1] (analytic) = 0.5130746286271408500786057597885
y[1] (numeric) = 0.51307462862714085007860575978831
absolute error = 1.9e-31
relative error = 3.7031649861228257083521245246722e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.147
y[1] (analytic) = 0.5134810699402153314601463270778
y[1] (numeric) = 0.51348106994021533146014632707768
absolute error = 1.2e-31
relative error = 2.3369897553179831106582358677610e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1071.9MB, alloc=4.4MB, time=42.71
TOP MAIN SOLVE Loop
x[1] = -0.146
y[1] (analytic) = 0.5138876092483130761017625600116
y[1] (numeric) = 0.51388760924831307610176256001149
absolute error = 1.1e-31
relative error = 2.1405458707381957331842823226632e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.145
y[1] (analytic) = 0.5142942465167379154546908737941
y[1] (numeric) = 0.51429424651673791545469087379395
absolute error = 1.5e-31
relative error = 2.9166182786592419906416269425421e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.144
y[1] (analytic) = 0.5147009817108209069062746692309
y[1] (numeric) = 0.51470098171082090690627466923087
absolute error = 3e-32
relative error = 5.8286269243712401698338800022225e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1075.7MB, alloc=4.4MB, time=42.88
x[1] = -0.143
y[1] (analytic) = 0.515107814795920298100948511757
y[1] (numeric) = 0.51510781479592029810094851175684
absolute error = 1.6e-31
relative error = 3.1061458476103712746724706190452e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.142
y[1] (analytic) = 0.5155147457374214913275234850364
y[1] (numeric) = 0.5155147457374214913275234850363
absolute error = 1.0e-31
relative error = 1.9398087218039580215638413081041e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.141
y[1] (analytic) = 0.515921774500737007972614329218
y[1] (numeric) = 0.51592177450073700797261432921781
absolute error = 1.9e-31
relative error = 3.6827288436093828784140281244013e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1079.5MB, alloc=4.4MB, time=43.04
x[1] = -0.14
y[1] (analytic) = 0.5163289010513064530400494434402
y[1] (numeric) = 0.51632890105130645304004944343998
absolute error = 2.2e-31
relative error = 4.2608500037873938405977154176210e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.139
y[1] (analytic) = 0.5167361253545964797361053000704
y[1] (numeric) = 0.51673612535459647973610530007028
absolute error = 1.2e-31
relative error = 2.3222684482849574011027899470646e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.138
y[1] (analytic) = 0.5171434473761007541204072844114
y[1] (numeric) = 0.51714344737610075412040728441118
absolute error = 2.2e-31
relative error = 4.2541387910113365365098759662636e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1083.4MB, alloc=4.4MB, time=43.20
x[1] = -0.137
y[1] (analytic) = 0.5175508670813399198223394382385
y[1] (numeric) = 0.51755086708133991982233943823845
absolute error = 5e-32
relative error = 9.6608861428381769008393769673472e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.136
y[1] (analytic) = 0.5179583844358615628228060485501
y[1] (numeric) = 0.51795838443586156282280604855003
absolute error = 7e-32
relative error = 1.3514599261915809909503142561187e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.135
y[1] (analytic) = 0.5183659994052401763011884843079
y[1] (numeric) = 0.51836599940524017630118848430772
absolute error = 1.8e-31
relative error = 3.4724499717675806920427445424149e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1087.2MB, alloc=4.4MB, time=43.36
x[1] = -0.134
y[1] (analytic) = 0.5187737119550771255473411437541
y[1] (numeric) = 0.51877371195507712554734114375397
absolute error = 1.3e-31
relative error = 2.5059095517788547083979461887104e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.133
y[1] (analytic) = 0.5191815220510006129384708330893
y[1] (numeric) = 0.51918152205100061293847083308913
absolute error = 1.7e-31
relative error = 3.2743846377356326184489477332003e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.132
y[1] (analytic) = 0.5195894296586656429807443539069
y[1] (numeric) = 0.51958942965866564298074435390684
absolute error = 6e-32
relative error = 1.1547579025888932078412066772328e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1091.0MB, alloc=4.4MB, time=43.52
x[1] = -0.131
y[1] (analytic) = 0.5199974347437539874154695318132
y[1] (numeric) = 0.51999743474375398741546953181313
absolute error = 7e-32
relative error = 1.3461604870126873935365676519626e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.13
y[1] (analytic) = 0.520405537271974150389695372105
y[1] (numeric) = 0.5204055372719741503896953721048
absolute error = 2.0e-31
relative error = 3.8431566475718738095635014292774e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.129
y[1] (analytic) = 0.5208137372090613336910774802609
y[1] (numeric) = 0.52081373720906133369107748026087
absolute error = 3e-32
relative error = 5.7602167256117543785024152092771e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1094.8MB, alloc=4.4MB, time=43.67
x[1] = -0.128
y[1] (analytic) = 0.5212220345207774020468553353138
y[1] (numeric) = 0.52122203452077740204685533531374
absolute error = 6e-32
relative error = 1.1511408963200351476786640269945e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.127
y[1] (analytic) = 0.5216304291729108484867884529207
y[1] (numeric) = 0.52163042917291084848678845292052
absolute error = 1.8e-31
relative error = 3.4507189368803737113552974384945e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.126
y[1] (analytic) = 0.5220389211312767597698989221558
y[1] (numeric) = 0.52203892113127675976989892215558
absolute error = 2.2e-31
relative error = 4.2142451663039268861174848267297e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1098.6MB, alloc=4.4MB, time=43.82
x[1] = -0.125
y[1] (analytic) = 0.5224475103617167818748682457
y[1] (numeric) = 0.52244751036171678187486824569978
absolute error = 2.2e-31
relative error = 4.2109493420244819529617635677765e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.124
y[1] (analytic) = 0.5228561968300990855539368572152
y[1] (numeric) = 0.52285619683009908555393685721507
absolute error = 1.3e-31
relative error = 2.4863432964579207228848045922990e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.123
y[1] (analytic) = 0.5232649805023183319501551322727
y[1] (numeric) = 0.52326498050231833195015513227261
absolute error = 9e-32
relative error = 1.7199698690633330829202057321809e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1102.4MB, alloc=4.4MB, time=43.97
x[1] = -0.122
y[1] (analytic) = 0.5236738613442956382778351502534
y[1] (numeric) = 0.5236738613442956382778351502533
absolute error = 1.0e-31
relative error = 1.9095854764126522815932987032856e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.121
y[1] (analytic) = 0.5240828393219785435660529041686
y[1] (numeric) = 0.52408283932197854356605290416846
absolute error = 1.4e-31
relative error = 2.6713334132657756386053935483570e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.12
y[1] (analytic) = 0.5244919144013409744650510933611
y[1] (numeric) = 0.52449191440134097446505109336091
absolute error = 1.9e-31
relative error = 3.6225534614173687027384932693827e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1106.3MB, alloc=4.4MB, time=44.12
x[1] = -0.119
y[1] (analytic) = 0.5249010865483832111153930705495
y[1] (numeric) = 0.52490108654838321111539307054935
absolute error = 1.5e-31
relative error = 2.8576812630806703505420631298496e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.118
y[1] (analytic) = 0.5253103557291318530797189496776
y[1] (numeric) = 0.52531035572913185307971894967744
absolute error = 1.6e-31
relative error = 3.0458185005304087572455565400214e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.117
y[1] (analytic) = 0.5257197219096397853369553145294
y[1] (numeric) = 0.52571972190963978533695531452922
absolute error = 1.8e-31
relative error = 3.4238776385668527733127336277797e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1110.1MB, alloc=4.4MB, time=44.27
x[1] = -0.116
y[1] (analytic) = 0.5261291850559861443388304000811
y[1] (numeric) = 0.52612918505598614433883040008093
absolute error = 1.7e-31
relative error = 3.2311455974811597197362153538945e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.115
y[1] (analytic) = 0.5265387451342762841285470490815
y[1] (numeric) = 0.52653874513427628412854704908135
absolute error = 1.5e-31
relative error = 2.8487932063147121946465898760369e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.114
y[1] (analytic) = 0.5269484021106417425214661753945
y[1] (numeric) = 0.52694840211064174252146617539443
absolute error = 7e-32
relative error = 1.3284033070338889524490716291538e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1113.9MB, alloc=4.4MB, time=44.42
x[1] = -0.113
y[1] (analytic) = 0.5273581559512402073476538932056
y[1] (numeric) = 0.52735815595124020734765389320543
absolute error = 1.7e-31
relative error = 3.2236156411264128249344524185955e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.112
y[1] (analytic) = 0.5277680066222554827561458972906
y[1] (numeric) = 0.52776800662225548275614589729046
absolute error = 1.4e-31
relative error = 2.6526806900631920772530159452240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.111
y[1] (analytic) = 0.5281779540898974555807831041857
y[1] (numeric) = 0.52817795408989745558078310418548
absolute error = 2.2e-31
relative error = 4.1652628303860510424164410834265e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1117.7MB, alloc=4.4MB, time=44.58
x[1] = -0.11
y[1] (analytic) = 0.5285879983204020617674729872698
y[1] (numeric) = 0.52858799832040206176747298726956
absolute error = 2.4e-31
relative error = 4.5403982073487167090769488964414e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.109
y[1] (analytic) = 0.5289981392800312528627314605056
y[1] (numeric) = 0.52899813928003125286273146050547
absolute error = 1.3e-31
relative error = 2.4574755627104957344559465162232e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.108
y[1] (analytic) = 0.5294083769350729625633605858628
y[1] (numeric) = 0.52940837693507296256336058586267
absolute error = 1.3e-31
relative error = 2.4555712690572574141840915893602e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1121.5MB, alloc=4.4MB, time=44.73
x[1] = -0.107
y[1] (analytic) = 0.5298187112518410733271177982909
y[1] (numeric) = 0.52981871125184107332711779829076
absolute error = 1.4e-31
relative error = 2.6424132826342024049950357163527e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.106
y[1] (analytic) = 0.5302291421966753830442327595201
y[1] (numeric) = 0.53022914219667538304423275951993
absolute error = 1.7e-31
relative error = 3.2061610060833417112088420260072e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.105
y[1] (analytic) = 0.5306396697359415717696283679454
y[1] (numeric) = 0.53063966973594157176962836794532
absolute error = 8e-32
relative error = 1.5076143862333140023365861872953e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.104
y[1] (analytic) = 0.5310502938360311685157028664098
y[1] (numeric) = 0.53105029383603116851570286640972
absolute error = 8e-32
relative error = 1.5064486533303955300657040527714e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1125.3MB, alloc=4.4MB, time=44.88
TOP MAIN SOLVE Loop
x[1] = -0.103
y[1] (analytic) = 0.5314610144633615181055304028397
y[1] (numeric) = 0.53146101446336151810553040283949
absolute error = 2.1e-31
relative error = 3.9513716770372293406432890773777e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.102
y[1] (analytic) = 0.5318718315843757480863378104177
y[1] (numeric) = 0.53187183158437574808633781041753
absolute error = 1.7e-31
relative error = 3.1962587583101085438665036595930e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.101
y[1] (analytic) = 0.5322827451655427357031157843003
y[1] (numeric) = 0.5322827451655427357031157843001
absolute error = 2.0e-31
relative error = 3.7574015279754925587976172824668e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1129.1MB, alloc=4.4MB, time=45.03
x[1] = -0.1
y[1] (analytic) = 0.532693755173357074932223040807
y[1] (numeric) = 0.53269375517335707493222304080685
absolute error = 1.5e-31
relative error = 2.8158768249720664178865907255626e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.099
y[1] (analytic) = 0.5331048615743390435748424525413
y[1] (numeric) = 0.53310486157433904357484245254116
absolute error = 1.4e-31
relative error = 2.6261249913677187125665189588536e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.098
y[1] (analytic) = 0.5335160643350345704101485590362
y[1] (numeric) = 0.53351606433503457041014855903609
absolute error = 1.1e-31
relative error = 2.0617935869860291054136590607473e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1133.0MB, alloc=4.4MB, time=45.18
x[1] = -0.097
y[1] (analytic) = 0.5339273634220152024080462572758
y[1] (numeric) = 0.53392736342201520240804625727562
absolute error = 1.8e-31
relative error = 3.3712450855928193416759109164397e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.096
y[1] (analytic) = 0.5343387588018780720013408798169
y[1] (numeric) = 0.5343387588018780720013408798167
absolute error = 2.0e-31
relative error = 3.7429439041339676852411337245944e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.095
y[1] (analytic) = 0.5347502504412458644172002702407
y[1] (numeric) = 0.53475025044124586441720027024053
absolute error = 1.7e-31
relative error = 3.1790541446165859780889701746264e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1136.8MB, alloc=4.4MB, time=45.33
x[1] = -0.094
y[1] (analytic) = 0.5351618383067667850677698662964
y[1] (numeric) = 0.53516183830676678506776986629636
absolute error = 4e-32
relative error = 7.4743745044599203332475375742264e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.093
y[1] (analytic) = 0.5355735223651145269998022003743
y[1] (numeric) = 0.5355735223651145269998022003742
absolute error = 1.0e-31
relative error = 1.8671572776487515634446127898441e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.092
y[1] (analytic) = 0.5359853025829882384031626248585
y[1] (numeric) = 0.53598530258298823840316262485838
absolute error = 1.2e-31
relative error = 2.2388673611329115534492521730016e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1140.6MB, alloc=4.4MB, time=45.48
x[1] = -0.091
y[1] (analytic) = 0.5363971789271124901780734664785
y[1] (numeric) = 0.53639717892711249017807346647838
absolute error = 1.2e-31
relative error = 2.2371482310928785918668818330167e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.09
y[1] (analytic) = 0.5368091513642372435609592089912
y[1] (numeric) = 0.53680915136423724356095920899106
absolute error = 1.4e-31
relative error = 2.6080032287863663724107643765907e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.089
y[1] (analytic) = 0.5372212198611378178087556974054
y[1] (numeric) = 0.53722121986113781780875569740524
absolute error = 1.6e-31
relative error = 2.9782889075259754201351799796057e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1144.4MB, alloc=4.4MB, time=45.62
x[1] = -0.088
y[1] (analytic) = 0.5376333843846148579415467495009
y[1] (numeric) = 0.53763338438461485794154674950074
absolute error = 1.6e-31
relative error = 2.9760056694235788048113703092091e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.087
y[1] (analytic) = 0.5380456449014943025433919516044
y[1] (numeric) = 0.5380456449014943025433919516042
absolute error = 2.0e-31
relative error = 3.7171567485992031736941239824137e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.086
y[1] (analytic) = 0.5384580013786273516212098054694
y[1] (numeric) = 0.53845800137862735162120980546924
absolute error = 1.6e-31
relative error = 2.9714480904796295877156013129662e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1148.2MB, alloc=4.4MB, time=45.78
x[1] = -0.085
y[1] (analytic) = 0.5388704537828904345215807816734
y[1] (numeric) = 0.53887045378289043452158078167332
absolute error = 8e-32
relative error = 1.4845868694116935387460294486889e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.084
y[1] (analytic) = 0.5392830020811851779053352221937
y[1] (numeric) = 0.53928300208118517790533522219351
absolute error = 1.9e-31
relative error = 3.5231965269952429599485726263244e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.083
y[1] (analytic) = 0.5396956462404383737797914207634
y[1] (numeric) = 0.53969564624043837377979142076326
absolute error = 1.4e-31
relative error = 2.5940546486756161801174261851492e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1152.0MB, alloc=4.4MB, time=45.93
x[1] = -0.082
y[1] (analytic) = 0.5401083862276019475885095942478
y[1] (numeric) = 0.54010838622760194758850959424762
absolute error = 1.8e-31
relative error = 3.3326644168074055566982253587476e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.081
y[1] (analytic) = 0.5405212220096529263584278416098
y[1] (numeric) = 0.5405212220096529263584278416096
absolute error = 2.0e-31
relative error = 3.7001322400700908945443011029501e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.08
y[1] (analytic) = 0.5409341535535934069042465690815
y[1] (numeric) = 0.54093415355359340690424656908142
absolute error = 8e-32
relative error = 1.4789230717722457027931622049687e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1155.8MB, alloc=4.4MB, time=46.08
x[1] = -0.079
y[1] (analytic) = 0.5413471808264505240899282409057
y[1] (numeric) = 0.54134718082645052408992824090562
absolute error = 8e-32
relative error = 1.4777947098175994702215341636021e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.078
y[1] (analytic) = 0.5417603037952764191471796944778
y[1] (numeric) = 0.54176030379527641914717969447772
absolute error = 8e-32
relative error = 1.4766678075075591387054276953649e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.077
y[1] (analytic) = 0.5421735224271482080507846369096
y[1] (numeric) = 0.54217352242714820805078463690942
absolute error = 1.8e-31
relative error = 3.3199703149315370461695007323663e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1159.7MB, alloc=4.4MB, time=46.24
x[1] = -0.076
y[1] (analytic) = 0.542586836689167949950654316944
y[1] (numeric) = 0.54258683668916794995065431694386
absolute error = 1.4e-31
relative error = 2.5802321496457881241922395076010e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.075
y[1] (analytic) = 0.5430002465484626156604647417977
y[1] (numeric) = 0.5430002465484626156604647417976
absolute error = 1.0e-31
relative error = 1.8416197899658785659983633632658e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.074
y[1] (analytic) = 0.5434137519721840562027491828825
y[1] (numeric) = 0.54341375197218405620274918288233
absolute error = 1.7e-31
relative error = 3.1283713263241424206540200720862e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1163.5MB, alloc=4.4MB, time=46.39
x[1] = -0.073
y[1] (analytic) = 0.543827352927508971410315087478
y[1] (numeric) = 0.54382735292750897141031508747783
absolute error = 1.7e-31
relative error = 3.1259920834224871757976988368730e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.072
y[1] (analytic) = 0.5442410493816388785838548852917
y[1] (numeric) = 0.54424104938163887858385488529161
absolute error = 9e-32
relative error = 1.6536790104726036512280365015941e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.071
y[1] (analytic) = 0.5446548413018000812056205494545
y[1] (numeric) = 0.54465484130180008120562054945438
absolute error = 1.2e-31
relative error = 2.2032302093043637225603337080518e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1167.3MB, alloc=4.4MB, time=46.54
x[1] = -0.07
y[1] (analytic) = 0.5450687286552436377090321408691
y[1] (numeric) = 0.54506872865524363770903214086895
absolute error = 1.5e-31
relative error = 2.7519465365417267904894866600710e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.069
y[1] (analytic) = 0.545482711409245330304090932959
y[1] (numeric) = 0.54548271140924533030409093295882
absolute error = 1.8e-31
relative error = 3.2998296047728635407612609414033e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.068
y[1] (analytic) = 0.5458967895311056338584680807553
y[1] (numeric) = 0.54589678953110563385846808075517
absolute error = 1.3e-31
relative error = 2.3814025378618295841573973170667e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1171.1MB, alloc=4.4MB, time=46.70
x[1] = -0.067
y[1] (analytic) = 0.5463109629881496848341401639235
y[1] (numeric) = 0.54631096298814968483414016392329
absolute error = 2.1e-31
relative error = 3.8439645957563406831103984967591e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.066
y[1] (analytic) = 0.5467252317477272502794432977657
y[1] (numeric) = 0.54672523174772725027944329776553
absolute error = 1.7e-31
relative error = 3.1094229812031479196709344893310e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.065
y[1] (analytic) = 0.5471395957772126968764178694529
y[1] (numeric) = 0.54713959577721269687641786945276
absolute error = 1.4e-31
relative error = 2.5587619883574642306116227675489e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.064
memory used=1174.9MB, alloc=4.4MB, time=46.85
y[1] (analytic) = 0.5475540550440049600433163187351
y[1] (numeric) = 0.54755405504400496004331631873492
absolute error = 1.8e-31
relative error = 3.2873466709242806011133423401069e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.063
y[1] (analytic) = 0.5479686095155275130921467431678
y[1] (numeric) = 0.54796860951552751309214674316769
absolute error = 1.1e-31
relative error = 2.0074142585877993597339737718733e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.062
y[1] (analytic) = 0.5483832591592283364411254674723
y[1] (numeric) = 0.54838325915922833644112546747205
absolute error = 2.5e-31
relative error = 4.5588554322992216533718201057024e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.061
y[1] (analytic) = 0.5487980039425798868819120750207
y[1] (numeric) = 0.54879800394257988688191207502056
absolute error = 1.4e-31
relative error = 2.5510296865920824543882957739157e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1178.7MB, alloc=4.4MB, time=47.00
x[1] = -0.06
y[1] (analytic) = 0.5492128438330790669015007566237
y[1] (numeric) = 0.54921284383307906690150075662351
absolute error = 1.9e-31
relative error = 3.4594966620581480991036137979142e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.059
y[1] (analytic) = 0.5496277787982471940586421877745
y[1] (numeric) = 0.5496277787982471940586421877743
absolute error = 2.0e-31
relative error = 3.6388262696128090174778229675994e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.058
y[1] (analytic) = 0.5500428088056299704146705003111
y[1] (numeric) = 0.55004280880562997041467050031093
absolute error = 1.7e-31
relative error = 3.0906685312210550758275313541696e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1182.6MB, alloc=4.4MB, time=47.16
x[1] = -0.057
y[1] (analytic) = 0.5504579338227974520186102680643
y[1] (numeric) = 0.55045793382279745201861026806413
absolute error = 1.7e-31
relative error = 3.0883377194582525772351511668491e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.056
y[1] (analytic) = 0.5508731538173440184464387784969
y[1] (numeric) = 0.55087315381734401844643877849675
absolute error = 1.5e-31
relative error = 2.7229499016344570078726594141050e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.055
y[1] (analytic) = 0.5512884687568883423943792135985
y[1] (numeric) = 0.55128846875688834239437921359838
absolute error = 1.2e-31
relative error = 2.1767188468605276178951936266445e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1186.4MB, alloc=4.4MB, time=47.31
x[1] = -0.054
y[1] (analytic) = 0.5517038786090733593261007133881
y[1] (numeric) = 0.55170387860907335932610071338795
absolute error = 1.5e-31
relative error = 2.7188498362232302393718146260482e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.053
y[1] (analytic) = 0.5521193833415662371737016443004
y[1] (numeric) = 0.55211938334156623717370164430026
absolute error = 1.4e-31
relative error = 2.5356834812189452415158775735886e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.052
y[1] (analytic) = 0.5525349829220583460923527424939
y[1] (numeric) = 0.5525349829220583460923527424938
absolute error = 1.0e-31
relative error = 1.8098401565662710900447192633882e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1190.2MB, alloc=4.4MB, time=47.46
x[1] = -0.051
y[1] (analytic) = 0.5529506773182652282684771487223
y[1] (numeric) = 0.55295067731826522826847714872212
absolute error = 1.8e-31
relative error = 3.2552632157532613158629179308470e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.05
y[1] (analytic) = 0.5533664664979265677813446968633
y[1] (numeric) = 0.55336646649792656778134469686316
absolute error = 1.4e-31
relative error = 2.5299689893754082751502792188603e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.049
y[1] (analytic) = 0.5537823504288061605179581625052
y[1] (numeric) = 0.55378235042880616051795816250508
absolute error = 1.2e-31
relative error = 2.1669162967559600673879987742833e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1194.0MB, alloc=4.4MB, time=47.61
x[1] = -0.048
y[1] (analytic) = 0.5541983290786918841411095211479
y[1] (numeric) = 0.55419832907869188414110952114779
absolute error = 1.1e-31
relative error = 1.9848490013108799762390609677317e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.047
y[1] (analytic) = 0.5546144024153956681104846076005
y[1] (numeric) = 0.55461440241539566811048460760036
absolute error = 1.4e-31
relative error = 2.5242763150449644356989216267298e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.046
y[1] (analytic) = 0.5550305704067534637566949090412
y[1] (numeric) = 0.55503057040675346375669490904115
absolute error = 5e-32
relative error = 9.0085128037826028461187120135253e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1197.8MB, alloc=4.4MB, time=47.76
x[1] = -0.045
y[1] (analytic) = 0.5554468330206252144081155639632
y[1] (numeric) = 0.55544683302062521440811556396302
absolute error = 1.8e-31
relative error = 3.2406341939358239619881006268355e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.044
y[1] (analytic) = 0.5558631902248948255704089778558
y[1] (numeric) = 0.55586319022489482557040897785562
absolute error = 1.8e-31
relative error = 3.2382068675418928736102593025102e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.043
y[1] (analytic) = 0.5562796419874701351586138039847
y[1] (numeric) = 0.55627964198747013515861380398444
absolute error = 2.6e-31
relative error = 4.6739082356326162992560466685160e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1201.6MB, alloc=4.4MB, time=47.90
x[1] = -0.042
y[1] (analytic) = 0.5566961882762828837816793740164
y[1] (numeric) = 0.55669618827628288378167937401622
absolute error = 1.8e-31
relative error = 3.2333614598177876719590560685323e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.041
y[1] (analytic) = 0.5571128290592886850793259985172
y[1] (numeric) = 0.55711282905928868507932599851702
absolute error = 1.8e-31
relative error = 3.2309433675031052213930822067414e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.04
y[1] (analytic) = 0.5575295643044669961111118915169
y[1] (numeric) = 0.5575295643044669961111118915167
absolute error = 2.0e-31
relative error = 3.5872537136125747002143702064374e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1205.4MB, alloc=4.4MB, time=48.05
x[1] = -0.039
y[1] (analytic) = 0.5579463939798210877975878063965
y[1] (numeric) = 0.55794639397982108779758780639639
absolute error = 1.1e-31
relative error = 1.9715155647009756272137320842157e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.038
y[1] (analytic) = 0.5583633180533780154134208023175
y[1] (numeric) = 0.55836331805337801541342080231735
absolute error = 1.5e-31
relative error = 2.6864228925880193251385296195704e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.037
y[1] (analytic) = 0.5587803364931885891323688912754
y[1] (numeric) = 0.5587803364931885891323688912753
absolute error = 1.0e-31
relative error = 1.7896120079597499986112345443835e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1209.3MB, alloc=4.4MB, time=48.20
x[1] = -0.036
y[1] (analytic) = 0.5591974492673273446239886456377
y[1] (numeric) = 0.55919744926732734462398864563762
absolute error = 8e-32
relative error = 1.4306216901528742532048809133004e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.035
y[1] (analytic) = 0.5596146563438925137019581747061
y[1] (numeric) = 0.55961465634389251370195817470589
absolute error = 2.1e-31
relative error = 3.7525822031178452075718546275670e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.034
y[1] (analytic) = 0.5600319576910059950238982064476
y[1] (numeric) = 0.56003195769100599502389820644749
absolute error = 1.1e-31
relative error = 1.9641736241897071784728439980987e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1213.1MB, alloc=4.4MB, time=48.35
x[1] = -0.033
y[1] (analytic) = 0.5604493532768133248425743370616
y[1] (numeric) = 0.56044935327681332484257433706142
absolute error = 1.8e-31
relative error = 3.2117085861118948742062744626884e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.032
y[1] (analytic) = 0.5608668430694836478083638364892
y[1] (numeric) = 0.56086684306948364780836383648904
absolute error = 1.6e-31
relative error = 2.8527270238397425111865944005078e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.031
y[1] (analytic) = 0.5612844270372096878228707223546
y[1] (numeric) = 0.56128442703720968782287072235448
absolute error = 1.2e-31
relative error = 2.1379534905935443279904101778502e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1216.9MB, alloc=4.4MB, time=48.50
x[1] = -0.03
y[1] (analytic) = 0.5617021051482077189435731381261
y[1] (numeric) = 0.56170210514820771894357313812594
absolute error = 1.6e-31
relative error = 2.8484849626437354035579105293474e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.029
y[1] (analytic) = 0.562119877370717536339387393532
y[1] (numeric) = 0.56211987737071753633938739353184
absolute error = 1.6e-31
relative error = 2.8463679446524917816471778539844e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.028
y[1] (analytic) = 0.5625377436730024272970333464497
y[1] (numeric) = 0.56253774367300242729703334644955
absolute error = 1.5e-31
relative error = 2.6664877457039309712298892885988e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1220.7MB, alloc=4.4MB, time=48.65
x[1] = -0.027
y[1] (analytic) = 0.5629557040233491422780861256122
y[1] (numeric) = 0.56295570402334914227808612561203
absolute error = 1.7e-31
relative error = 3.0197757796046610901274255808534e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.026
y[1] (analytic) = 0.5633737583900678660265995125548
y[1] (numeric) = 0.56337375839006786602659951255461
absolute error = 1.9e-31
relative error = 3.3725390501495117378484730214741e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.025
y[1] (analytic) = 0.5637919067414921887271866192531
y[1] (numeric) = 0.56379190674149218872718661925298
absolute error = 1.2e-31
relative error = 2.1284448848078616151304486647698e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1224.5MB, alloc=4.4MB, time=48.80
x[1] = -0.024
y[1] (analytic) = 0.5642101490459790772134438148893
y[1] (numeric) = 0.56421014904597907721344381488914
absolute error = 1.6e-31
relative error = 2.8358227917477809937349868162142e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.023
y[1] (analytic) = 0.5646284852719088462266041711283
y[1] (numeric) = 0.56462848527190884622660417112812
absolute error = 1.8e-31
relative error = 3.1879369301270228112667372569984e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.022
y[1] (analytic) = 0.5650469153876851297243070101989
y[1] (numeric) = 0.56504691538768512972430701019872
absolute error = 1.8e-31
relative error = 3.1855761901912153284812730720470e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.021
y[1] (analytic) = 0.5654654393617348522393704539504
y[1] (numeric) = 0.56546543936173485223937045395022
absolute error = 1.8e-31
relative error = 3.1832184156678741895006223567355e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1228.3MB, alloc=4.4MB, time=48.95
TOP MAIN SOLVE Loop
x[1] = -0.02
y[1] (analytic) = 0.5658840571625082002884541849081
y[1] (numeric) = 0.56588405716250820028845418490799
absolute error = 1.1e-31
relative error = 1.9438610897004059485316682527261e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.019
y[1] (analytic) = 0.5663027687584785938304999421782
y[1] (numeric) = 0.5663027687584785938304999421781
absolute error = 1.0e-31
relative error = 1.7658398566412238843319814102999e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.018
y[1] (analytic) = 0.5667215741181426577748375858581
y[1] (numeric) = 0.56672157411814265777483758585794
absolute error = 1.6e-31
relative error = 2.8232558509700445075839625026175e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1232.1MB, alloc=4.4MB, time=49.10
x[1] = -0.017
y[1] (analytic) = 0.5671404732100201935388448734009
y[1] (numeric) = 0.56714047321002019353884487340074
absolute error = 1.6e-31
relative error = 2.8211705487072463180641578733195e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.016
y[1] (analytic) = 0.5675594660026541506550494001605
y[1] (numeric) = 0.56755946600265415065504940016043
absolute error = 7e-32
relative error = 1.2333509384137846461341607878074e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.015
y[1] (analytic) = 0.5679785524646105984275614641134
y[1] (numeric) = 0.56797855246461059842756146411324
absolute error = 1.6e-31
relative error = 2.8170077779472002501123600692084e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1236.0MB, alloc=4.4MB, time=49.25
x[1] = -0.014
y[1] (analytic) = 0.5683977325644786976377269215178
y[1] (numeric) = 0.56839773256447869763772692151767
absolute error = 1.3e-31
relative error = 2.2871308689686385760552968472236e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.013
y[1] (analytic) = 0.568817006270870672298889406039
y[1] (numeric) = 0.56881700627087067229888940603882
absolute error = 1.8e-31
relative error = 3.1644623493251183773042505811394e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.012
y[1] (analytic) = 0.5692363735524217814601515886303
y[1] (numeric) = 0.56923637355242178146015158863018
absolute error = 1.2e-31
relative error = 2.1080873530817866920407487952790e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1239.8MB, alloc=4.4MB, time=49.40
x[1] = -0.011
y[1] (analytic) = 0.5696558343777902910590254592399
y[1] (numeric) = 0.56965583437779029105902545923972
absolute error = 1.8e-31
relative error = 3.1598026235719324646672316424960e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.01
y[1] (analytic) = 0.5700753887156574458228619141914
y[1] (numeric) = 0.5700753887156574458228619141912
absolute error = 2.0e-31
relative error = 3.5083079178455136469679635245840e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.009
y[1] (analytic) = 0.5704950365347274412189502348899
y[1] (numeric) = 0.57049503653472744121895023488968
absolute error = 2.2e-31
relative error = 3.8562999835425922570649497126749e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1243.6MB, alloc=4.4MB, time=49.55
x[1] = -0.008
y[1] (analytic) = 0.5709147778037273954531783443163
y[1] (numeric) = 0.57091477780372739545317834431613
absolute error = 1.7e-31
relative error = 2.9776773453645589255963659180711e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.007
y[1] (analytic) = 0.5713346124914073215171450276135
y[1] (numeric) = 0.57133461249140732151714502761322
absolute error = 2.8e-31
relative error = 4.9008058303873739993433704035308e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.006
y[1] (analytic) = 0.5717545405665400992836156019271
y[1] (numeric) = 0.57175454056654009928361560192693
absolute error = 1.7e-31
relative error = 2.9733038907141937492169631393506e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1247.4MB, alloc=4.4MB, time=49.69
x[1] = -0.005
y[1] (analytic) = 0.5721745619979214476502128185597
y[1] (numeric) = 0.57217456199792144765021281855962
absolute error = 8e-32
relative error = 1.3981747059962903057556088814364e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.004
y[1] (analytic) = 0.5725946767543698967312350774142
y[1] (numeric) = 0.57259467675436989673123507741404
absolute error = 1.6e-31
relative error = 2.7942977204560419579997108559146e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.003
y[1] (analytic) = 0.5730148848047267600974943296673
y[1] (numeric) = 0.57301488480472676009749432966713
absolute error = 1.7e-31
relative error = 2.9667641191892068241483463566574e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1251.2MB, alloc=4.4MB, time=49.84
x[1] = -0.002
y[1] (analytic) = 0.5734351861178561070640663396122
y[1] (numeric) = 0.57343518611785610706406633961201
absolute error = 1.9e-31
relative error = 3.3133648684221126872478442699646e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.001
y[1] (analytic) = 0.5738555806626447350258462706492
y[1] (numeric) = 0.57385558066264473502584627064899
absolute error = 2.1e-31
relative error = 3.6594573108012296054448459773480e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0
y[1] (analytic) = 0.574276068408002141840802853496
y[1] (numeric) = 0.57427606840800214184080285349586
absolute error = 1.4e-31
relative error = 2.4378518921762750637580561640945e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1255.0MB, alloc=4.4MB, time=49.99
x[1] = 0.001
y[1] (analytic) = 0.5746966493228604982608246868277
y[1] (numeric) = 0.57469664932286049826082468682756
absolute error = 1.4e-31
relative error = 2.4360677962009309323838049925219e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.002
y[1] (analytic) = 0.5751173233761746204100525117492
y[1] (numeric) = 0.57511732337617462041005251174899
absolute error = 2.1e-31
relative error = 3.6514288731073835689427219459141e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.003
y[1] (analytic) = 0.5755380905369219423105915917563
y[1] (numeric) = 0.57553809053692194231059159175617
absolute error = 1.3e-31
relative error = 2.2587557997894187138365621532892e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1258.8MB, alloc=4.4MB, time=50.14
x[1] = 0.004
y[1] (analytic) = 0.5759589507741024884554986191531
y[1] (numeric) = 0.57595895077410248845549861915293
absolute error = 1.7e-31
relative error = 2.9515992376108743257519822055981e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.005
y[1] (analytic) = 0.5763799040567388464289378572676
y[1] (numeric) = 0.57637990405673884642893785726744
absolute error = 1.6e-31
relative error = 2.7759468863135380513241626611027e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.006
y[1] (analytic) = 0.5768009503538761395734015152576
y[1] (numeric) = 0.5768009503538761395734015152574
absolute error = 2.0e-31
relative error = 3.4674006670290151872973418439536e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1262.7MB, alloc=4.4MB, time=50.29
x[1] = 0.007
y[1] (analytic) = 0.5772220896345819997038896388093
y[1] (numeric) = 0.57722208963458199970388963880917
absolute error = 1.3e-31
relative error = 2.2521660611134650414831661663303e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.008
y[1] (analytic) = 0.5776433218679465398689450856274
y[1] (numeric) = 0.57764332186794653986894508562727
absolute error = 1.3e-31
relative error = 2.2505237242181593936786409118007e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.009
y[1] (analytic) = 0.5780646470230823271584394392806
y[1] (numeric) = 0.57806464702308232715843943928041
absolute error = 1.9e-31
relative error = 3.2868296128895291594630886192010e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1266.5MB, alloc=4.4MB, time=50.44
x[1] = 0.01
y[1] (analytic) = 0.5784860650691243555580059987217
y[1] (numeric) = 0.57848606506912435555800599872157
absolute error = 1.3e-31
relative error = 2.2472451429658217051635090245647e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.011
y[1] (analytic) = 0.5789075759752300188500162636365
y[1] (numeric) = 0.57890757597523001885001626363641
absolute error = 9e-32
relative error = 1.5546523095398369918760234762635e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.012
y[1] (analytic) = 0.5793291797105790835609966176999
y[1] (numeric) = 0.5793291797105790835609966176998
absolute error = 1.0e-31
relative error = 1.7261343550821648357928875984179e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1270.3MB, alloc=4.4MB, time=50.59
x[1] = 0.013
y[1] (analytic) = 0.5797508762443736619553821928375
y[1] (numeric) = 0.57975087624437366195538219283738
absolute error = 1.2e-31
relative error = 2.0698545688686153176084164294992e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.014
y[1] (analytic) = 0.5801726655458381850755051777024
y[1] (numeric) = 0.58017266554583818507550517770225
absolute error = 1.5e-31
relative error = 2.5854372139176354396643751491578e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.015
y[1] (analytic) = 0.5805945475842193758277151127884
y[1] (numeric) = 0.58059454758421937582771511278824
absolute error = 1.6e-31
relative error = 2.7557957728976237071842401058891e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1274.1MB, alloc=4.4MB, time=50.74
x[1] = 0.016
y[1] (analytic) = 0.5810165223287862221145289929153
y[1] (numeric) = 0.5810165223287862221145289929151
absolute error = 2.0e-31
relative error = 3.4422429021187765132293691675836e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.017
y[1] (analytic) = 0.5814385897488299500127092752403
y[1] (numeric) = 0.58143858974882995001270927524012
absolute error = 1.8e-31
relative error = 3.0957697540811053560818760695900e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.018
y[1] (analytic) = 0.5818607498136639969971681674789
y[1] (numeric) = 0.58186074981366399699716816747866
absolute error = 2.4e-31
relative error = 4.1246982216425146054511405366536e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.019
y[1] (analytic) = 0.5822830024926239852105968466564
y[1] (numeric) = 0.58228300249262398521059684665623
absolute error = 1.7e-31
relative error = 2.9195425467044001323098614782711e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1277.9MB, alloc=4.4MB, time=50.89
TOP MAIN SOLVE Loop
x[1] = 0.02
y[1] (analytic) = 0.5827053477550676947787185334702
y[1] (numeric) = 0.58270534775506769477871853347008
absolute error = 1.2e-31
relative error = 2.0593598542095476981476178924083e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.021
y[1] (analytic) = 0.5831277855703750371710646212127
y[1] (numeric) = 0.58312778557037503717106462121252
absolute error = 1.8e-31
relative error = 3.0868019746981619285073514643712e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.022
y[1] (analytic) = 0.5835503159079480286071733312041
y[1] (numeric) = 0.58355031590794802860717333120405
absolute error = 5e-32
relative error = 8.5682414415635814959710222167914e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1281.7MB, alloc=4.4MB, time=51.04
x[1] = 0.023
y[1] (analytic) = 0.5839729387372107635081106388059
y[1] (numeric) = 0.58397293873721076350811063880572
absolute error = 1.8e-31
relative error = 3.0823346093610758196562994587162e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.024
y[1] (analytic) = 0.5843956540276093879932134853299
y[1] (numeric) = 0.58439565402760938799321348532969
absolute error = 2.1e-31
relative error = 3.5934558813484723182683954484247e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.025
y[1] (analytic) = 0.5848184617486120734219555615482
y[1] (numeric) = 0.58481846174861207342195556154808
absolute error = 1.2e-31
relative error = 2.0519188064138570479173334906424e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1285.6MB, alloc=4.4MB, time=51.19
x[1] = 0.026
y[1] (analytic) = 0.5852413618697089899808362180166
y[1] (numeric) = 0.58524136186970898998083621801644
absolute error = 1.6e-31
relative error = 2.7339147644800343349115641365724e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.027
y[1] (analytic) = 0.5856643543604122803151933260822
y[1] (numeric) = 0.58566435436041228031519332608207
absolute error = 1.3e-31
relative error = 2.2197014216781107852674871719802e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.028
y[1] (analytic) = 0.5860874391902560332058411812431
y[1] (numeric) = 0.58608743919025603320584118124289
absolute error = 2.1e-31
relative error = 3.5830831025851363148823154724494e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1289.4MB, alloc=4.4MB, time=51.34
x[1] = 0.029
y[1] (analytic) = 0.5865106163287962572904348074623
y[1] (numeric) = 0.58651061632879625729043480746212
absolute error = 1.8e-31
relative error = 3.0689981560213138455262779196182e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.03
y[1] (analytic) = 0.5869338857456108548294622871315
y[1] (numeric) = 0.5869338857456108548294622871313
absolute error = 2.0e-31
relative error = 3.4075388192305545080753510897604e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.031
y[1] (analytic) = 0.5873572474102995955167670066123
y[1] (numeric) = 0.58735724741029959551676700661208
absolute error = 2.2e-31
relative error = 3.7455909664858285837743449636759e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1293.2MB, alloc=4.4MB, time=51.49
x[1] = 0.032
y[1] (analytic) = 0.5877807012924840903345019716791
y[1] (numeric) = 0.58778070129248409033450197167894
absolute error = 1.6e-31
relative error = 2.7221036629506962773615288231071e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.033
y[1] (analytic) = 0.5882042473618077654524186107338
y[1] (numeric) = 0.58820424736180776545241861073361
absolute error = 1.9e-31
relative error = 3.2301704867345155944857255006520e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.034
y[1] (analytic) = 0.5886278855879358361713927463708
y[1] (numeric) = 0.58862788558793583617139274637062
absolute error = 1.8e-31
relative error = 3.0579591012785883543588025537092e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1297.0MB, alloc=4.4MB, time=51.64
x[1] = 0.035
y[1] (analytic) = 0.5890516159405552809110906777454
y[1] (numeric) = 0.58905161594055528091109067774525
absolute error = 1.5e-31
relative error = 2.5464661489891812212532468312393e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.036
y[1] (analytic) = 0.5894754383893748152416785772332
y[1] (numeric) = 0.58947543838937481524167857723308
absolute error = 1.2e-31
relative error = 2.0357082277741086897067482207888e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.037
y[1] (analytic) = 0.5898993529041248659594786650778
y[1] (numeric) = 0.58989935290412486595947866507766
absolute error = 1.4e-31
relative error = 2.3732862107877903259470100969540e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1300.8MB, alloc=4.4MB, time=51.79
x[1] = 0.038
y[1] (analytic) = 0.5903233594545575452064758851024
y[1] (numeric) = 0.5903233594545575452064758851023
absolute error = 1.0e-31
relative error = 1.6939868361705563173186702370781e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.039
y[1] (analytic) = 0.5907474580104466246335790631171
y[1] (numeric) = 0.59074745801044662463357906311691
absolute error = 1.9e-31
relative error = 3.2162643685322483324500203002900e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.04
y[1] (analytic) = 0.5911716485415875096075407873844
y[1] (numeric) = 0.59117164854158750960754078738426
absolute error = 1.4e-31
relative error = 2.3681785204919436406745570891657e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1304.6MB, alloc=4.4MB, time=51.94
x[1] = 0.041
y[1] (analytic) = 0.5915959310177972134614405074247
y[1] (numeric) = 0.59159593101779721346144050742447
absolute error = 2.3e-31
relative error = 3.8877887412832935693034645322261e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.042
y[1] (analytic) = 0.5920203054089143317886356035361
y[1] (numeric) = 0.5920203054089143317886356035359
absolute error = 2.0e-31
relative error = 3.3782625050648897002524067600135e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.043
y[1] (analytic) = 0.592444771684799016780085434697
y[1] (numeric) = 0.59244477168479901678008543469683
absolute error = 1.7e-31
relative error = 2.8694657818745313120304708711128e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1308.4MB, alloc=4.4MB, time=52.09
x[1] = 0.044
y[1] (analytic) = 0.5928693298153329516049536269896
y[1] (numeric) = 0.59286932981533295160495362698936
absolute error = 2.4e-31
relative error = 4.0481095568690531578801473289412e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.045
y[1] (analytic) = 0.5932939797704193248343941183572
y[1] (numeric) = 0.593293979770419324834394118357
absolute error = 2.0e-31
relative error = 3.3710101032441265887998145071633e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.046
y[1] (analytic) = 0.593718721519982804908426728374
y[1] (numeric) = 0.59371872151998280490842672837389
absolute error = 1.1e-31
relative error = 1.8527291798781138388784093611040e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1312.3MB, alloc=4.4MB, time=52.24
x[1] = 0.047
y[1] (analytic) = 0.5941435550339695146458082737695
y[1] (numeric) = 0.59414355503396951464580827376928
absolute error = 2.2e-31
relative error = 3.7028088268570335351453098683506e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.048
y[1] (analytic) = 0.5945684802823470057968055017187
y[1] (numeric) = 0.59456848028234700579680550171861
absolute error = 9e-32
relative error = 1.5137028447465135288027968894168e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.049
y[1] (analytic) = 0.5949934972351042336387763633856
y[1] (numeric) = 0.59499349723510423363877636338547
absolute error = 1.3e-31
relative error = 2.1848978283645363446439969227429e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1316.1MB, alloc=4.4MB, time=52.38
x[1] = 0.05
y[1] (analytic) = 0.5954186058622515316144663998797
y[1] (numeric) = 0.59541860586225153161446639987951
absolute error = 1.9e-31
relative error = 3.1910322944116392142505174446907e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.051
y[1] (analytic) = 0.5958438061338205860129272616873
y[1] (numeric) = 0.59584380613382058601292726168708
absolute error = 2.2e-31
relative error = 3.6922427947600447247129770393750e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.052
y[1] (analytic) = 0.5962690980198644106929646307369
y[1] (numeric) = 0.5962690980198644106929646307367
absolute error = 2.0e-31
relative error = 3.3541902584617440415528203897752e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1319.9MB, alloc=4.4MB, time=52.53
x[1] = 0.053
y[1] (analytic) = 0.5966944814904573218490230615837
y[1] (numeric) = 0.59669448149045732184902306158354
absolute error = 1.6e-31
relative error = 2.6814392450947916328221281929232e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.054
y[1] (analytic) = 0.5971199565156949128194155047388
y[1] (numeric) = 0.59711995651569491281941550473863
absolute error = 1.7e-31
relative error = 2.8469991355167788581038872842934e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.055
y[1] (analytic) = 0.5975455230656940289368055209323
y[1] (numeric) = 0.59754552306569402893680552093206
absolute error = 2.4e-31
relative error = 4.0164303929294848144050528783566e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.056
y[1] (analytic) = 0.5979711811105927424208504400887
y[1] (numeric) = 0.59797118111059274242085044008859
absolute error = 1.1e-31
relative error = 1.8395535349329129788644437245492e-29 %
Correct digits = 30
memory used=1323.7MB, alloc=4.4MB, time=52.68
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.057
y[1] (analytic) = 0.5983969306205503273129139630109
y[1] (numeric) = 0.59839693062055032731291396301079
absolute error = 1.1e-31
relative error = 1.8382447230457493079597239740409e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.058
y[1] (analytic) = 0.5988227715657472344527569472126
y[1] (numeric) = 0.59882277156574723445275694721243
absolute error = 1.7e-31
relative error = 2.8389033963337681002208109439898e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.059
y[1] (analytic) = 0.5992487039163850664971153610263
y[1] (numeric) = 0.59924870391638506649711536102613
absolute error = 1.7e-31
relative error = 2.8368855683619567713806488433278e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1327.5MB, alloc=4.4MB, time=52.83
x[1] = 0.06
y[1] (analytic) = 0.5996747276426865529800746320268
y[1] (numeric) = 0.59967472764268655298007463202667
absolute error = 1.3e-31
relative error = 2.1678418984076298464827903821225e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.061
y[1] (analytic) = 0.6001008427148955254151498569683
y[1] (numeric) = 0.60010084271489552541514985696811
absolute error = 1.9e-31
relative error = 3.1661345306636723418664109542876e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.062
y[1] (analytic) = 0.6005270491032768924389815808314
y[1] (numeric) = 0.60052704910327689243898158083121
absolute error = 1.9e-31
relative error = 3.1638874599189678383877528072436e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1331.3MB, alloc=4.4MB, time=52.98
x[1] = 0.063
y[1] (analytic) = 0.6009533467781166149965570922212
y[1] (numeric) = 0.60095334677811661499655709222105
absolute error = 1.5e-31
relative error = 2.4960340233429608940726954534369e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.064
y[1] (analytic) = 0.6013797357097216815678674212451
y[1] (numeric) = 0.60137973570972168156786742124497
absolute error = 1.3e-31
relative error = 2.1616957187055823879436415499547e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.065
y[1] (analytic) = 0.601806215868420083435910464142
y[1] (numeric) = 0.6018062158684200834359104641418
absolute error = 2.0e-31
relative error = 3.3233289176216872803050070170187e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1335.1MB, alloc=4.4MB, time=53.12
x[1] = 0.066
y[1] (analytic) = 0.6022327872245607899959508963268
y[1] (numeric) = 0.60223278722456078999595089632666
absolute error = 1.4e-31
relative error = 2.3246824644868886377737023194745e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.067
y[1] (analytic) = 0.6026594497485137241059477721648
y[1] (numeric) = 0.60265944974851372410594777216466
absolute error = 1.4e-31
relative error = 2.3230366678631055073743898352999e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.068
y[1] (analytic) = 0.6030862034106697374780609456941
y[1] (numeric) = 0.60308620341066973747806094569389
absolute error = 2.1e-31
relative error = 3.4820892736788596573202169423567e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1339.0MB, alloc=4.4MB, time=53.27
x[1] = 0.069
y[1] (analytic) = 0.6035130481814405861111476816865
y[1] (numeric) = 0.60351304818144058611114768168628
absolute error = 2.2e-31
relative error = 3.6453230077282280347869770917019e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.07
y[1] (analytic) = 0.6039399840312589057641610608667
y[1] (numeric) = 0.60393998403125890576416106086657
absolute error = 1.3e-31
relative error = 2.1525317653628215686944156899592e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.071
y[1] (analytic) = 0.6043670109305781874703620168076
y[1] (numeric) = 0.60436701093057818747036201680741
absolute error = 1.9e-31
relative error = 3.1437850935550935611842190926397e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1342.8MB, alloc=4.4MB, time=53.42
x[1] = 0.072
y[1] (analytic) = 0.6047941288498727530922570749857
y[1] (numeric) = 0.60479412884987275309225707498556
absolute error = 1.4e-31
relative error = 2.3148372863049405508239505583751e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.073
y[1] (analytic) = 0.6052213377596377309171740967225
y[1] (numeric) = 0.60522133775963773091717409672241
absolute error = 9e-32
relative error = 1.4870592688148628033220276042167e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.074
y[1] (analytic) = 0.6056486376303890312933885622446
y[1] (numeric) = 0.60564863763038903129338856224443
absolute error = 1.7e-31
relative error = 2.8069079898392572315085687026449e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1346.6MB, alloc=4.4MB, time=53.57
x[1] = 0.075
y[1] (analytic) = 0.6060760284326633223067131578888
y[1] (numeric) = 0.60607602843266332230671315788863
absolute error = 1.7e-31
relative error = 2.8049286232228446808709767323168e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.076
y[1] (analytic) = 0.6065035101370180054974636625467
y[1] (numeric) = 0.60650351013701800549746366254653
absolute error = 1.7e-31
relative error = 2.8029516261430130201225248134367e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.077
y[1] (analytic) = 0.6069310827140311916177143577912
y[1] (numeric) = 0.60693108271403119161771435779097
absolute error = 2.3e-31
relative error = 3.7895571103642011545278993787423e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1350.4MB, alloc=4.4MB, time=53.72
x[1] = 0.078
y[1] (analytic) = 0.6073587461343016764287564147653
y[1] (numeric) = 0.60735874613430167642875641476514
absolute error = 1.6e-31
relative error = 2.6343573879253916045347276775649e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.079
y[1] (analytic) = 0.6077865003684489165386729388359
y[1] (numeric) = 0.60778650036844891653867293883567
absolute error = 2.3e-31
relative error = 3.7842235696345787967123818886527e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.08
y[1] (analytic) = 0.6082143453871130052799445802238
y[1] (numeric) = 0.60821434538711300527994458022363
absolute error = 1.7e-31
relative error = 2.7950672536636621345632657887415e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1354.2MB, alloc=4.4MB, time=53.87
x[1] = 0.081
y[1] (analytic) = 0.6086422811609546486269998453319
y[1] (numeric) = 0.60864228116095464862699984533164
absolute error = 2.6e-31
relative error = 4.2718031271843788135716440260416e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.082
y[1] (analytic) = 0.6090703076606551411536244692846
y[1] (numeric) = 0.60907030766065514115362446928448
absolute error = 1.2e-31
relative error = 1.9702158928236288839861162376569e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.083
y[1] (analytic) = 0.6094984248569163420301444352971
y[1] (numeric) = 0.60949842485691634203014443529697
absolute error = 1.3e-31
relative error = 2.1329013283425356253349038074724e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1358.0MB, alloc=4.4MB, time=54.02
x[1] = 0.084
y[1] (analytic) = 0.6099266327204606510602974508797
y[1] (numeric) = 0.60992663272046065106029745087946
absolute error = 2.4e-31
relative error = 3.9348994965103601950722972472308e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.085
y[1] (analytic) = 0.61035493122203098475770791459
y[1] (numeric) = 0.61035493122203098475770791458982
absolute error = 1.8e-31
relative error = 2.9491037229700165988113309438117e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.086
y[1] (analytic) = 0.6107833203323907524618806300447
y[1] (numeric) = 0.61078332033239075246188063004457
absolute error = 1.3e-31
relative error = 2.1284143766279255036007847175412e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1361.8MB, alloc=4.4MB, time=54.17
x[1] = 0.087
y[1] (analytic) = 0.6112118000223238324936287462131
y[1] (numeric) = 0.61121180002232383249362874621293
absolute error = 1.7e-31
relative error = 2.7813599147429898885440103791656e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.088
y[1] (analytic) = 0.6116403702626345483498516246384
y[1] (numeric) = 0.61164037026263454834985162463818
absolute error = 2.2e-31
relative error = 3.5968848803347198354269531755950e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.089
y[1] (analytic) = 0.6120690310241476449375785551644
y[1] (numeric) = 0.61206903102414764493757855516427
absolute error = 1.3e-31
relative error = 2.1239434346560033161887351767389e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1365.7MB, alloc=4.4MB, time=54.32
x[1] = 0.09
y[1] (analytic) = 0.6124977822777082648471944619937
y[1] (numeric) = 0.6124977822777082648471944619935
absolute error = 2.0e-31
relative error = 3.2653179454177912748810887127944e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.091
y[1] (analytic) = 0.6129266239941819246647639614666
y[1] (numeric) = 0.61292662399418192466476396146641
absolute error = 1.9e-31
relative error = 3.0998816589472141204002770812275e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.092
y[1] (analytic) = 0.6133555561444544913233703518402
y[1] (numeric) = 0.61335555614445449132337035184005
absolute error = 1.5e-31
relative error = 2.4455635641893938584230457877901e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1369.5MB, alloc=4.4MB, time=54.47
x[1] = 0.093
y[1] (analytic) = 0.6137845786994321584933863335482
y[1] (numeric) = 0.61378457869943215849338633354795
absolute error = 2.5e-31
relative error = 4.0730902775324369186856005572729e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.094
y[1] (analytic) = 0.6142136916300414230115934759569
y[1] (numeric) = 0.61421369163004142301159347595672
absolute error = 1.8e-31
relative error = 2.9305761570098502213192557723807e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.095
y[1] (analytic) = 0.6146428949072290613490676634932
y[1] (numeric) = 0.61464289490722906134906766349302
absolute error = 1.8e-31
relative error = 2.9285297445302486629528943745004e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.096
y[1] (analytic) = 0.6150721885019621061177479702027
y[1] (numeric) = 0.61507218850196210611774797020249
absolute error = 2.1e-31
relative error = 3.4142333847261912278584668618696e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1373.3MB, alloc=4.4MB, time=54.62
TOP MAIN SOLVE Loop
x[1] = 0.097
y[1] (analytic) = 0.6155015723852278226156066273224
y[1] (numeric) = 0.61550157238522782261560662732227
absolute error = 1.3e-31
relative error = 2.1120985848373444300701244911786e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.098
y[1] (analytic) = 0.6159310465280336854103379633026
y[1] (numeric) = 0.61593104652803368541033796330246
absolute error = 1.4e-31
relative error = 2.2729817045133800475703381225922e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.099
y[1] (analytic) = 0.6163606109014073549614844099028
y[1] (numeric) = 0.61636061090140735496148440990258
absolute error = 2.2e-31
relative error = 3.5693390542633338041114632586364e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1377.1MB, alloc=4.4MB, time=54.76
x[1] = 0.1
y[1] (analytic) = 0.6167902654763966542809178815185
y[1] (numeric) = 0.61679026547639665428091788151824
absolute error = 2.6e-31
relative error = 4.2153713272238679110132145733490e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.101
y[1] (analytic) = 0.6172200102240695456315950477644
y[1] (numeric) = 0.61722001022406954563159504776417
absolute error = 2.3e-31
relative error = 3.7263859918686537462614831894218e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.102
y[1] (analytic) = 0.6176498451155141072645052315538
y[1] (numeric) = 0.61764984511551410726450523155365
absolute error = 1.5e-31
relative error = 2.4285604729965843430656652966669e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1380.9MB, alloc=4.4MB, time=54.91
x[1] = 0.103
y[1] (analytic) = 0.618079770121838510193729876475
y[1] (numeric) = 0.61807977012183851019372987647481
absolute error = 1.9e-31
relative error = 3.0740368668359165482217784458284e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.104
y[1] (analytic) = 0.6185097852141709950095327381728
y[1] (numeric) = 0.61850978521417099500953273817255
absolute error = 2.5e-31
relative error = 4.0419732391692502804385182385498e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.105
y[1] (analytic) = 0.6189398903636598487294001647041
y[1] (numeric) = 0.61893989036365984872940016470387
absolute error = 2.3e-31
relative error = 3.7160312912593638499320219575230e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1384.7MB, alloc=4.4MB, time=55.06
x[1] = 0.106
y[1] (analytic) = 0.6193700855414733816869510404465
y[1] (numeric) = 0.61937008554147338168695104044627
absolute error = 2.3e-31
relative error = 3.7134502516201852637570622148958e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.107
y[1] (analytic) = 0.6198003707187999044586361771061
y[1] (numeric) = 0.61980037071879990445863617710598
absolute error = 1.2e-31
relative error = 1.9361072640345895301583404330633e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.108
y[1] (analytic) = 0.6202307458668477048281471436975
y[1] (numeric) = 0.62023074586684770482814714369727
absolute error = 2.3e-31
relative error = 3.7082972995565884065598123567571e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1388.6MB, alloc=4.4MB, time=55.21
x[1] = 0.109
y[1] (analytic) = 0.6206612109568450247884547350487
y[1] (numeric) = 0.62066121095684502478845473504846
absolute error = 2.4e-31
relative error = 3.8668438717155043082445799998641e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.11
y[1] (analytic) = 0.6210917659600400375813974854367
y[1] (numeric) = 0.62109176596004003758139748543651
absolute error = 1.9e-31
relative error = 3.0591292690269583941384343498030e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.111
y[1] (analytic) = 0.6215224108477008247747408403629
y[1] (numeric) = 0.62152241084770082477474084036272
absolute error = 1.8e-31
relative error = 2.8961143935983924375384055846672e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1392.4MB, alloc=4.4MB, time=55.36
x[1] = 0.112
y[1] (analytic) = 0.6219531455911153533766278052595
y[1] (numeric) = 0.62195314559111535337662780525925
absolute error = 2.5e-31
relative error = 4.0195953951224982511843373286795e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.113
y[1] (analytic) = 0.6223839701615914529873420950622
y[1] (numeric) = 0.62238397016159145298734209506205
absolute error = 1.5e-31
relative error = 2.4100877784666440140650466041487e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.114
y[1] (analytic) = 0.622814884530456792988305013103
y[1] (numeric) = 0.62281488453045679298830501310285
absolute error = 1.5e-31
relative error = 2.4084202822655039517351233418457e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1396.2MB, alloc=4.4MB, time=55.51
x[1] = 0.115
y[1] (analytic) = 0.6232458886690588597682274916631
y[1] (numeric) = 0.623245888669058859768227491663
absolute error = 1.0e-31
relative error = 1.6045031634873665511333925298718e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.116
y[1] (analytic) = 0.6236769825487649339863389297979
y[1] (numeric) = 0.62367698254876493398633892979771
absolute error = 1.9e-31
relative error = 3.0464488078994323395444904916889e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.117
y[1] (analytic) = 0.6241081661409620678726146666827
y[1] (numeric) = 0.6241081661409620678726146666825
absolute error = 2.0e-31
relative error = 3.2045727143206083343271130945729e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1400.0MB, alloc=4.4MB, time=55.66
x[1] = 0.118
y[1] (analytic) = 0.6245394394170570625649241307573
y[1] (numeric) = 0.62453943941705706256492413075702
absolute error = 2.8e-31
relative error = 4.4833037327690789990685733524141e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.119
y[1] (analytic) = 0.6249708023484764454830219063468
y[1] (numeric) = 0.62497080234847644548302190634662
absolute error = 1.8e-31
relative error = 2.8801345490638472256650869272978e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.12
y[1] (analytic) = 0.6254022549066664477393041602318
y[1] (numeric) = 0.62540225490666644773930416023167
absolute error = 1.3e-31
relative error = 2.0786621567170539272140646159681e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1403.8MB, alloc=4.4MB, time=55.81
x[1] = 0.121
y[1] (analytic) = 0.6258337970630929815862530708107
y[1] (numeric) = 0.62583379706309298158625307081047
absolute error = 2.3e-31
relative error = 3.6750971436720397565659253448762e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.122
y[1] (analytic) = 0.6262654287892416179004921020665
y[1] (numeric) = 0.62626542878924161790049210206629
absolute error = 2.1e-31
relative error = 3.3532108008259821782701009120705e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.123
y[1] (analytic) = 0.6266971500566175637033751635045
y[1] (numeric) = 0.62669715005661756370337516350435
absolute error = 1.5e-31
relative error = 2.3935005925341862935360875779476e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1407.6MB, alloc=4.4MB, time=55.96
x[1] = 0.124
y[1] (analytic) = 0.6271289608367456397180328955728
y[1] (numeric) = 0.62712896083674563971803289557258
absolute error = 2.2e-31
relative error = 3.5080503969465134036289607944809e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.125
y[1] (analytic) = 0.6275608611011702579627995178237
y[1] (numeric) = 0.62756086110117025796279951782347
absolute error = 2.3e-31
relative error = 3.6649831794229957663157300828413e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.126
y[1] (analytic) = 0.6279928508214553993809438742147
y[1] (numeric) = 0.62799285082145539938094387421447
absolute error = 2.3e-31
relative error = 3.6624620757886825507893076222789e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1411.4MB, alloc=4.4MB, time=56.11
x[1] = 0.127
y[1] (analytic) = 0.6284249299691845915066285064844
y[1] (numeric) = 0.62842492996918459150662850648412
absolute error = 2.8e-31
relative error = 4.4555838994759495584283081430250e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.128
y[1] (analytic) = 0.6288570985159608861670207824823
y[1] (numeric) = 0.62885709851596088616702078248222
absolute error = 8e-32
relative error = 1.2721491128714600536897368793294e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.129
y[1] (analytic) = 0.6292893564334068372204803016769
y[1] (numeric) = 0.62928935643340683722048030167672
absolute error = 1.8e-31
relative error = 2.8603693699854925848646482132857e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1415.3MB, alloc=4.4MB, time=56.26
x[1] = 0.13
y[1] (analytic) = 0.6297217036931644783307469948105
y[1] (numeric) = 0.62972170369316447833074699481031
absolute error = 1.9e-31
relative error = 3.0172058368910624794758292938688e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.131
y[1] (analytic) = 0.6301541402668953007770545288375
y[1] (numeric) = 0.63015414026689530077705452883739
absolute error = 1.1e-31
relative error = 1.7456046540202153092693296072001e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.132
y[1] (analytic) = 0.63058666612628023130009382184
y[1] (numeric) = 0.63058666612628023130009382183973
absolute error = 2.7e-31
relative error = 4.2817270726420696547092637419965e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.133
y[1] (analytic) = 0.6310192812430196099837516655987
y[1] (numeric) = 0.63101928124301960998375166559851
absolute error = 1.9e-31
relative error = 3.0110014962732455566840011828017e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1419.1MB, alloc=4.4MB, time=56.41
TOP MAIN SOLVE Loop
x[1] = 0.134
y[1] (analytic) = 0.631451985588833168172549645894
y[1] (numeric) = 0.63145198558883316817254964589381
absolute error = 1.9e-31
relative error = 3.0089381985682369621526500462598e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.135
y[1] (analytic) = 0.6318847791354600064247087424119
y[1] (numeric) = 0.63188477913546000642470874241177
absolute error = 1.3e-31
relative error = 2.0573371015181758366275764318707e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.136
y[1] (analytic) = 0.6323176618546585725007651813671
y[1] (numeric) = 0.63231766185465857250076518136695
absolute error = 1.5e-31
relative error = 2.3722253710268536224676021522716e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1422.9MB, alloc=4.4MB, time=56.56
x[1] = 0.137
y[1] (analytic) = 0.6327506337182066393876633045949
y[1] (numeric) = 0.63275063371820663938766330459478
absolute error = 1.2e-31
relative error = 1.8964817039352282224528257409154e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.138
y[1] (analytic) = 0.6331836946979012833582514089384
y[1] (numeric) = 0.63318369469790128335825140893822
absolute error = 1.8e-31
relative error = 2.8427769304116386989025759612911e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.139
y[1] (analytic) = 0.6336168447655588620661066992465
y[1] (numeric) = 0.63361684476555886206610669924628
absolute error = 2.2e-31
relative error = 3.4721299128561048401803380102453e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1426.7MB, alloc=4.4MB, time=56.71
x[1] = 0.14
y[1] (analytic) = 0.6340500838930149926756156872219
y[1] (numeric) = 0.63405008389301499267561568722171
absolute error = 1.9e-31
relative error = 2.9966087037386027759248561178010e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.141
y[1] (analytic) = 0.6344834120521245300272365567028
y[1] (numeric) = 0.63448341205212453002723655670251
absolute error = 2.9e-31
relative error = 4.5706474667642802754230753174651e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.142
y[1] (analytic) = 0.6349168292147615448378702037404
y[1] (numeric) = 0.63491682921476154483787020374019
absolute error = 2.1e-31
relative error = 3.3075198252300096659616509537539e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1430.5MB, alloc=4.4MB, time=56.87
x[1] = 0.143
y[1] (analytic) = 0.6353503353528193019362668470473
y[1] (numeric) = 0.63535033535281930193626684704705
absolute error = 2.5e-31
relative error = 3.9348369881818250093417922235449e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.144
y[1] (analytic) = 0.6357839304382102385333952910294
y[1] (numeric) = 0.63578393043821023853339529102917
absolute error = 2.3e-31
relative error = 3.6175812094129822930711828577457e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.145
y[1] (analytic) = 0.6362176144428659425277021097018
y[1] (numeric) = 0.63621761444286594252770210970155
absolute error = 2.5e-31
relative error = 3.9294730973288806070593895293697e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1434.3MB, alloc=4.4MB, time=57.01
x[1] = 0.146
y[1] (analytic) = 0.6366513873387371308451882053002
y[1] (numeric) = 0.63665138733873713084518820529998
absolute error = 2.2e-31
relative error = 3.4555803124787139426209111995715e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.147
y[1] (analytic) = 0.6370852490977936278142303803625
y[1] (numeric) = 0.63708524909779362781423038036225
absolute error = 2.5e-31
relative error = 3.9241216203645705674787842127085e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.148
y[1] (analytic) = 0.6375191996920243435750757464515
y[1] (numeric) = 0.63751919969202434357507574645133
absolute error = 1.7e-31
relative error = 2.6665863566481506495842970291936e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1438.1MB, alloc=4.4MB, time=57.16
x[1] = 0.149
y[1] (analytic) = 0.6379532390934372525239369765371
y[1] (numeric) = 0.63795323909343725252393697653689
absolute error = 2.1e-31
relative error = 3.2917773142498699216352248345642e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.15
y[1] (analytic) = 0.6383873672740593717916165913415
y[1] (numeric) = 0.63838736727405937179161659134132
absolute error = 1.8e-31
relative error = 2.8196046668123696067950097378253e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.151
y[1] (analytic) = 0.638821584205936739756588652694
y[1] (numeric) = 0.63882158420593673975658865269377
absolute error = 2.3e-31
relative error = 3.6003792872135479187317055819702e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1442.0MB, alloc=4.4MB, time=57.31
x[1] = 0.152
y[1] (analytic) = 0.639255889861134394592466419123
y[1] (numeric) = 0.63925588986113439459246641912277
absolute error = 2.3e-31
relative error = 3.5979332165396695434916615710021e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.153
y[1] (analytic) = 0.6396902842117363528497847005571
y[1] (numeric) = 0.63969028421173635284978470055684
absolute error = 2.6e-31
relative error = 4.0644669212130859843163538707917e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.154
y[1] (analytic) = 0.6401247672298455880720258300946
y[1] (numeric) = 0.64012476722984558807202583009437
absolute error = 2.3e-31
relative error = 3.5930495393160649502942565539152e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1445.8MB, alloc=4.4MB, time=57.46
x[1] = 0.155
y[1] (analytic) = 0.640559338887584009445818351352
y[1] (numeric) = 0.64055933888758400944581835135182
absolute error = 1.8e-31
relative error = 2.8100441141423962481519067434240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.156
y[1] (analytic) = 0.6409939991570924404852376999043
y[1] (numeric) = 0.64099399915709244048523769990403
absolute error = 2.7e-31
relative error = 4.2122079201217201691724914244461e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.157
y[1] (analytic) = 0.6414287480105305977501383367945
y[1] (numeric) = 0.64142874801053059775013833679432
absolute error = 1.8e-31
relative error = 2.8062353076361470857914338851595e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1449.6MB, alloc=4.4MB, time=57.60
x[1] = 0.158
y[1] (analytic) = 0.6418635854200770695984469710174
y[1] (numeric) = 0.64186358542007706959844697101725
absolute error = 1.5e-31
relative error = 2.3369451610474255599574584803947e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.159
y[1] (analytic) = 0.6422985113579292949723466862648
y[1] (numeric) = 0.6422985113579292949723466862646
absolute error = 2.0e-31
relative error = 3.1138169630374149968208230035245e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.16
y[1] (analytic) = 0.6427335257963035422182819650782
y[1] (numeric) = 0.64273352579630354221828196507797
absolute error = 2.3e-31
relative error = 3.5784658924559053211516498178303e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1453.4MB, alloc=4.4MB, time=57.75
x[1] = 0.161
y[1] (analytic) = 0.6431686287074348879407147808709
y[1] (numeric) = 0.64316862870743488794071478087064
absolute error = 2.6e-31
relative error = 4.0424857245061470325353845939302e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.162
y[1] (analytic) = 0.6436038200635771958895621050694
y[1] (numeric) = 0.64360382006357719588956210506909
absolute error = 3.1e-31
relative error = 4.8166277193534561618350409267480e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.163
y[1] (analytic) = 0.6440390998370030958812453528829
y[1] (numeric) = 0.64403909983700309588124535288264
absolute error = 2.6e-31
relative error = 4.0370219768613770252268522401122e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1457.2MB, alloc=4.4MB, time=57.90
x[1] = 0.164
y[1] (analytic) = 0.6444744680000039627532824669401
y[1] (numeric) = 0.64447446800000396275328246693988
absolute error = 2.2e-31
relative error = 3.4136340681225970190185895870191e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.165
y[1] (analytic) = 0.644909924524889895352353513235
y[1] (numeric) = 0.64490992452488989535235351323479
absolute error = 2.1e-31
relative error = 3.2562686975969336518989604314065e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.166
y[1] (analytic) = 0.6453454693839896955557708385055
y[1] (numeric) = 0.64534546938398969555577083850525
absolute error = 2.5e-31
relative error = 3.8738940902248197045593135378634e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1461.0MB, alloc=4.4MB, time=58.05
x[1] = 0.167
y[1] (analytic) = 0.6457811025496508473262850123246
y[1] (numeric) = 0.64578110254965084732628501232435
absolute error = 2.5e-31
relative error = 3.8712808258550545411141016329545e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.168
y[1] (analytic) = 0.646216823994239495800157950822
y[1] (numeric) = 0.64621682399423949580015795082176
absolute error = 2.4e-31
relative error = 3.7139237340892784822762744328759e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.169
y[1] (analytic) = 0.6466526336901404264084347920707
y[1] (numeric) = 0.64665263369014042640843479207049
absolute error = 2.1e-31
relative error = 3.2474931525698646477589791654222e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.17
y[1] (analytic) = 0.6470885316097570440313462657759
y[1] (numeric) = 0.64708853160975704403134626577568
absolute error = 2.2e-31
relative error = 3.3998439047081816236009738209135e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1464.8MB, alloc=4.4MB, time=58.20
TOP MAIN SOLVE Loop
x[1] = 0.171
y[1] (analytic) = 0.6475245177255113521857734719879
y[1] (numeric) = 0.64752451772551135218577347198769
absolute error = 2.1e-31
relative error = 3.2431204417964598906004470737426e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.172
y[1] (analytic) = 0.6479605920098439322457071551346
y[1] (numeric) = 0.64796059200984393224570715513434
absolute error = 2.6e-31
relative error = 4.0125897038511569524979183795527e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.173
y[1] (analytic) = 0.6483967544352139226956337307281
y[1] (numeric) = 0.64839675443521392269563373072782
absolute error = 2.8e-31
relative error = 4.3183436389019873553619437357380e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1468.7MB, alloc=4.4MB, time=58.35
x[1] = 0.174
y[1] (analytic) = 0.6488330049740989984167804926528
y[1] (numeric) = 0.64883300497409899841678049265261
absolute error = 1.9e-31
relative error = 2.9283343871753977644809022982879e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.175
y[1] (analytic) = 0.6492693435989953500061525989836
y[1] (numeric) = 0.64926934359899535000615259898335
absolute error = 2.5e-31
relative error = 3.8504821221684867285336373269674e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.176
y[1] (analytic) = 0.649705770282417663128294603818
y[1] (numeric) = 0.64970577028241766312829460381774
absolute error = 2.6e-31
relative error = 4.0018114643953643169052395597581e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1472.5MB, alloc=4.4MB, time=58.50
x[1] = 0.177
y[1] (analytic) = 0.6501422849968990978997094716414
y[1] (numeric) = 0.65014228499689909789970947164123
absolute error = 1.7e-31
relative error = 2.6148122329992861128009430315885e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.178
y[1] (analytic) = 0.6505788877149912683058681792688
y[1] (numeric) = 0.65057888771499126830586817926862
absolute error = 1.8e-31
relative error = 2.7667666965371195185073502307853e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.179
y[1] (analytic) = 0.6510155784092642216507431784354
y[1] (numeric) = 0.65101557840926422165074317843515
absolute error = 2.5e-31
relative error = 3.8401538809695924217744280930737e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1476.3MB, alloc=4.4MB, time=58.64
x[1] = 0.18
y[1] (analytic) = 0.6514523570523064180387991596377
y[1] (numeric) = 0.6514523570523064180387991596375
absolute error = 2.0e-31
relative error = 3.0700633413157118770905726063890e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.181
y[1] (analytic) = 0.6518892236167247098893747248554
y[1] (numeric) = 0.65188922361672470988937472485506
absolute error = 3.4e-31
relative error = 5.2156100711967198634684314890481e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.182
y[1] (analytic) = 0.6523261780751443214833887433162
y[1] (numeric) = 0.65232617807514432148338874331595
absolute error = 2.5e-31
relative error = 3.8324385622188137981108176886442e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1480.1MB, alloc=4.4MB, time=58.79
x[1] = 0.183
y[1] (analytic) = 0.652763220400208828542305330512
y[1] (numeric) = 0.65276322040020882854230533051176
absolute error = 2.4e-31
relative error = 3.6766777370338989226967922311995e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.184
y[1] (analytic) = 0.6532003505645801378392915562121
y[1] (numeric) = 0.65320035056458013783929155621191
absolute error = 1.9e-31
relative error = 2.9087553280670693393521915003052e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.185
y[1] (analytic) = 0.6536375685409384668425021522847
y[1] (numeric) = 0.65363756854093846684250215228445
absolute error = 2.5e-31
relative error = 3.8247495559053390260029009429027e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1483.9MB, alloc=4.4MB, time=58.94
x[1] = 0.186
y[1] (analytic) = 0.654074874301982323390425655697
y[1] (numeric) = 0.65407487430198232339042565569674
absolute error = 2.6e-31
relative error = 3.9750800743946572750802767158256e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.187
y[1] (analytic) = 0.6545122678204284853992265861486
y[1] (numeric) = 0.65451226782042848539922658614834
absolute error = 2.6e-31
relative error = 3.9724236318108771159048530957681e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.188
y[1] (analytic) = 0.6549497490690119806020184213817
y[1] (numeric) = 0.65494974906901198060201842138152
absolute error = 1.8e-31
relative error = 2.7483024500103048434505303397181e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1487.7MB, alloc=4.4MB, time=59.09
x[1] = 0.189
y[1] (analytic) = 0.6553873180204860663200022963237
y[1] (numeric) = 0.65538731802048606632000229632339
absolute error = 3.1e-31
relative error = 4.7300274429525966874266587898349e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.19
y[1] (analytic) = 0.65582497464762220926540651484
y[1] (numeric) = 0.65582497464762220926540651483971
absolute error = 2.9e-31
relative error = 4.4219115039926367650161674649798e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.191
y[1] (analytic) = 0.6562627189232100653761621250258
y[1] (numeric) = 0.65626271892321006537616212502545
absolute error = 3.5e-31
relative error = 5.3332299688496222206427901578910e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1491.6MB, alloc=4.4MB, time=59.24
x[1] = 0.192
y[1] (analytic) = 0.6567005508200574596822499706231
y[1] (numeric) = 0.65670055082005745968224997062283
absolute error = 2.7e-31
relative error = 4.1114629744536746887023196920288e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.193
y[1] (analytic) = 0.6571384703109903662036547923458
y[1] (numeric) = 0.65713847031099036620365479234549
absolute error = 3.1e-31
relative error = 4.7174227960401206721652040270056e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.194
y[1] (analytic) = 0.6575764773688528878798621135994
y[1] (numeric) = 0.65757647736885288787986211359922
absolute error = 1.8e-31
relative error = 2.7373241926206099165078194956011e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1495.4MB, alloc=4.4MB, time=59.38
x[1] = 0.195
y[1] (analytic) = 0.6580145719665072365308338053274
y[1] (numeric) = 0.65801457196650723653083380532716
absolute error = 2.4e-31
relative error = 3.6473356400413566371362442273969e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.196
y[1] (analytic) = 0.6584527540768337128493983844719
y[1] (numeric) = 0.65845275407683371284939838447171
absolute error = 1.9e-31
relative error = 2.8855525141873615532224939323745e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.197
y[1] (analytic) = 0.6588910236727306864249922598391
y[1] (numeric) = 0.65889102367273068642499225983878
absolute error = 3.2e-31
relative error = 4.8566453101194940195756671898887e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1499.2MB, alloc=4.4MB, time=59.53
x[1] = 0.198
y[1] (analytic) = 0.6593293807271145757986882979738
y[1] (numeric) = 0.65932938072711457579868829797357
absolute error = 2.3e-31
relative error = 3.4883930054255106903334391500546e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.199
y[1] (analytic) = 0.6597678252129198285494482400128
y[1] (numeric) = 0.65976782521291982854944824001259
absolute error = 2.1e-31
relative error = 3.1829378756417674857588119934081e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.2
y[1] (analytic) = 0.6602063571030989014115356583662
y[1] (numeric) = 0.66020635710309890141153565836587
absolute error = 3.3e-31
relative error = 4.9984371772486077686329990923319e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1503.0MB, alloc=4.4MB, time=59.68
x[1] = 0.201
y[1] (analytic) = 0.6606449763706222404230262995078
y[1] (numeric) = 0.66064497637062224042302629950745
absolute error = 3.5e-31
relative error = 5.2978530454101233260239720722508e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.202
y[1] (analytic) = 0.6610836829884782611053528161136
y[1] (numeric) = 0.66108368298847826110535281611328
absolute error = 3.2e-31
relative error = 4.8405369582473440097640643099497e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.203
y[1] (analytic) = 0.6615224769296733286738210482852
y[1] (numeric) = 0.6615224769296733286738210482849
absolute error = 3.0e-31
relative error = 4.5349932989789113140046999373731e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1506.8MB, alloc=4.4MB, time=59.83
x[1] = 0.204
y[1] (analytic) = 0.6619613581672317382790351696367
y[1] (numeric) = 0.66196135816723173827903516963641
absolute error = 2.9e-31
relative error = 4.3809203727982125971693292173910e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.205
y[1] (analytic) = 0.6624003266741956952791691696031
y[1] (numeric) = 0.66240032667419569527916916960279
absolute error = 3.1e-31
relative error = 4.6799493828220100724663536396110e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.206
y[1] (analytic) = 0.6628393824236252955430222984514
y[1] (numeric) = 0.66283938242362529554302229845114
absolute error = 2.6e-31
relative error = 3.9225188921232833070428300353548e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.207
y[1] (analytic) = 0.6632785253885985057837962561447
y[1] (numeric) = 0.66327852538859850578379625614441
absolute error = 2.9e-31
relative error = 4.3722205513904760097162127360706e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1510.6MB, alloc=4.4MB, time=59.98
TOP MAIN SOLVE Loop
x[1] = 0.208
y[1] (analytic) = 0.6637177555422111439235320604217
y[1] (numeric) = 0.66371775554221114392353206042147
absolute error = 2.3e-31
relative error = 3.4653284182838536755003453327637e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.209
y[1] (analytic) = 0.6641570728575768594881446832191
y[1] (numeric) = 0.66415707285757685948814468321891
absolute error = 1.9e-31
relative error = 2.8607690524549148522427217021753e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.21
y[1] (analytic) = 0.6645964773078271140329936978712
y[1] (numeric) = 0.66459647730782711403299369787095
absolute error = 2.5e-31
relative error = 3.7616810882403346936407047242733e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1514.4MB, alloc=4.4MB, time=60.13
x[1] = 0.211
y[1] (analytic) = 0.6650359688661111615989283323857
y[1] (numeric) = 0.66503596886611116159892833238536
absolute error = 3.4e-31
relative error = 5.1125054270327856701907119531937e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.212
y[1] (analytic) = 0.6654755475055960291987454765072
y[1] (numeric) = 0.66547554750559602919874547650698
absolute error = 2.2e-31
relative error = 3.3059065930315043621900630729865e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.213
y[1] (analytic) = 0.6659152131994664973339993422482
y[1] (numeric) = 0.66591521319946649733399934224796
absolute error = 2.4e-31
relative error = 3.6040624278110767404129790686751e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1518.3MB, alloc=4.4MB, time=60.28
x[1] = 0.214
y[1] (analytic) = 0.6663549659209250805421016290866
y[1] (numeric) = 0.6663549659209250805421016290863
absolute error = 3.0e-31
relative error = 4.5021049642121277256843891030896e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.215
y[1] (analytic) = 0.6667948056431920079736511961141
y[1] (numeric) = 0.66679480564319200797365119611385
absolute error = 2.5e-31
relative error = 3.7492793567707737046098412414947e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.216
y[1] (analytic) = 0.6672347323395052039999323940526
y[1] (numeric) = 0.66723473233950520399993239405237
absolute error = 2.3e-31
relative error = 3.4470627629583650832211918801288e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1522.1MB, alloc=4.4MB, time=60.43
x[1] = 0.217
y[1] (analytic) = 0.6676747459831202688505213602538
y[1] (numeric) = 0.66767474598312026885052136025352
absolute error = 2.8e-31
relative error = 4.1936586891228440010595647556554e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.218
y[1] (analytic) = 0.6681148465473104592809397295573
y[1] (numeric) = 0.66811484654731045928093972955714
absolute error = 1.6e-31
relative error = 2.3947978528968387678157099852868e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.219
y[1] (analytic) = 0.6685550340053666692702953632036
y[1] (numeric) = 0.66855503400536666927029536320337
absolute error = 2.3e-31
relative error = 3.4402553013781320022072008891743e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1525.9MB, alloc=4.4MB, time=60.58
x[1] = 0.22
y[1] (analytic) = 0.6689953083305974107488498468797
y[1] (numeric) = 0.66899530833059741074884984687938
absolute error = 3.2e-31
relative error = 4.7832921399482460999229978437184e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.221
y[1] (analytic) = 0.6694356694963287943554526574325
y[1] (numeric) = 0.66943566949632879435545265743227
absolute error = 2.3e-31
relative error = 3.4357296821821252986017738120207e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.222
y[1] (analytic) = 0.6698761174759045102247820457982
y[1] (numeric) = 0.66987611747590451022478204579795
absolute error = 2.5e-31
relative error = 3.7320333338946438421692664151034e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1529.7MB, alloc=4.4MB, time=60.73
x[1] = 0.223
y[1] (analytic) = 0.6703166522426858088043328312822
y[1] (numeric) = 0.67031665224268580880433283128197
absolute error = 2.3e-31
relative error = 3.4312141766206533272366383408520e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.224
y[1] (analytic) = 0.6707572737700514817010914494853
y[1] (numeric) = 0.67075727377005148170109144948505
absolute error = 2.5e-31
relative error = 3.7271306592748902080586235743133e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.225
y[1] (analytic) = 0.671197982031397842557838742894
y[1] (numeric) = 0.67119798203139784255783874289376
absolute error = 2.4e-31
relative error = 3.5756960900513119497577531805863e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1533.5MB, alloc=4.4MB, time=60.88
x[1] = 0.226
y[1] (analytic) = 0.671638777000138707959021129458
y[1] (numeric) = 0.67163877700013870795902112945778
absolute error = 2.2e-31
relative error = 3.2755702549311646613508561275940e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.227
y[1] (analytic) = 0.6720796586497053783661309303503
y[1] (numeric) = 0.67207965864970537836613093035008
absolute error = 2.2e-31
relative error = 3.2734214935474813165419570449593e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.228
y[1] (analytic) = 0.6725206269535466190825367835576
y[1] (numeric) = 0.67252062695354661908253678355735
absolute error = 2.5e-31
relative error = 3.7173580999660310074390318210171e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1537.3MB, alloc=4.4MB, time=61.03
x[1] = 0.229
y[1] (analytic) = 0.6729616818851286412477052149763
y[1] (numeric) = 0.67296168188512864124770521497604
absolute error = 2.6e-31
relative error = 3.8635186370742095764756016574197e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.23
y[1] (analytic) = 0.673402823417935082860754583296
y[1] (numeric) = 0.67340282341793508286075458329576
absolute error = 2.4e-31
relative error = 3.5639886209839725016630602861387e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.231
y[1] (analytic) = 0.6738440515254669898332827591388
y[1] (numeric) = 0.67384405152546698983328275913858
absolute error = 2.2e-31
relative error = 3.2648503685972719295508150776041e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1541.1MB, alloc=4.4MB, time=61.18
x[1] = 0.232
y[1] (analytic) = 0.674285366181242797071410042691
y[1] (numeric) = 0.6742853661812427970714100426907
absolute error = 3.0e-31
relative error = 4.4491548392785714592022629029711e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.233
y[1] (analytic) = 0.6747267673587983095869789674139
y[1] (numeric) = 0.67472676735879830958697896741372
absolute error = 1.8e-31
relative error = 2.6677465413830500228920842862321e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.234
y[1] (analytic) = 0.6751682550316866836378527803581
y[1] (numeric) = 0.67516825503168668363785278035777
absolute error = 3.3e-31
relative error = 4.8876705553123582941377613844875e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1545.0MB, alloc=4.4MB, time=61.33
x[1] = 0.235
y[1] (analytic) = 0.6756098291734784078972545321197
y[1] (numeric) = 0.67560982917347840789725453211941
absolute error = 2.9e-31
relative error = 4.2924183082827205372852663970129e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.236
y[1] (analytic) = 0.676051489757761284652088851595
y[1] (numeric) = 0.67605148975776128465208885159474
absolute error = 2.6e-31
relative error = 3.8458609135402044703765435363170e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.237
y[1] (analytic) = 0.6764932367581404110301886223743
y[1] (numeric) = 0.67649323675814041103018862237411
absolute error = 1.9e-31
relative error = 2.8086016189978366822176576440401e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1548.8MB, alloc=4.4MB, time=61.47
x[1] = 0.238
y[1] (analytic) = 0.6769350701482381602564289189109
y[1] (numeric) = 0.67693507014823816025642891891064
absolute error = 2.6e-31
relative error = 3.8408410417126723692113151757232e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.239
y[1] (analytic) = 0.6773769899016941629376507014716
y[1] (numeric) = 0.67737698990169416293765070147145
absolute error = 1.5e-31
relative error = 2.2144242015331681472422654533723e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.24
y[1] (analytic) = 0.67781899599216528837633690935
y[1] (numeric) = 0.6778189959921652883763369093498
absolute error = 2.0e-31
relative error = 2.9506402326073455387899113049315e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1552.6MB, alloc=4.4MB, time=61.62
x[1] = 0.241
y[1] (analytic) = 0.6782610883933256259129837318799
y[1] (numeric) = 0.67826108839332562591298373187963
absolute error = 2.7e-31
relative error = 3.9807679464493501296781844190113e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.242
y[1] (analytic) = 0.6787032670788664662971099764524
y[1] (numeric) = 0.6787032670788664662971099764522
absolute error = 2.0e-31
relative error = 2.9467958930093033146096815297526e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.243
y[1] (analytic) = 0.6791455320224962830868475919897
y[1] (numeric) = 0.67914553202249628308684759198944
absolute error = 2.6e-31
relative error = 3.8283399910726005921925599798977e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.244
y[1] (analytic) = 0.6795878831979407140770565451817
y[1] (numeric) = 0.67958788319794071407705654518144
absolute error = 2.6e-31
relative error = 3.8258480827603409440837254995570e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1556.4MB, alloc=4.4MB, time=61.77
x[1] = 0.245
y[1] (analytic) = 0.6800303205789425427559073852478
y[1] (numeric) = 0.68003032057894254275590738524759
absolute error = 2.1e-31
relative error = 3.0880975986661431860123699680865e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.246
y[1] (analytic) = 0.6804728441392616797898749710336
y[1] (numeric) = 0.68047284413926167978987497103333
absolute error = 2.7e-31
relative error = 3.9678291694582795794007843096661e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.247
y[1] (analytic) = 0.6809154538526751445370869719094
y[1] (numeric) = 0.68091545385267514453708697190909
absolute error = 3.1e-31
relative error = 4.5526944387294300566023300095713e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1560.2MB, alloc=4.4MB, time=61.92
x[1] = 0.248
y[1] (analytic) = 0.681358149692977046588970891196
y[1] (numeric) = 0.68135814969297704658897089119574
absolute error = 2.6e-31
relative error = 3.8159079790438719162172800430659e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.249
y[1] (analytic) = 0.6818009316339785673401434977033
y[1] (numeric) = 0.68180093163397856734014349770305
absolute error = 2.5e-31
relative error = 3.6667594366710436562286538039413e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.25
y[1] (analytic) = 0.6822437996495079415864866874361
y[1] (numeric) = 0.68224379964950794158648668743584
absolute error = 2.6e-31
relative error = 3.8109543851270018825574785040351e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1564.0MB, alloc=4.4MB, time=62.07
x[1] = 0.251
y[1] (analytic) = 0.682686753713410439151353933598
y[1] (numeric) = 0.68268675371341043915135393359785
absolute error = 1.5e-31
relative error = 2.1972009737128938965067363699906e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.252
y[1] (analytic) = 0.6831297937995483465398516187073
y[1] (numeric) = 0.68312979379954834653985161870715
absolute error = 1.5e-31
relative error = 2.1957759910558767519298777330950e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.253
y[1] (analytic) = 0.6835729198818009486211396779306
y[1] (numeric) = 0.68357291988180094862113967793037
absolute error = 2.3e-31
relative error = 3.3646739551907662897218142546226e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1567.8MB, alloc=4.4MB, time=62.22
x[1] = 0.254
y[1] (analytic) = 0.6840161319340645103386961176482
y[1] (numeric) = 0.68401613193406451033869611764786
absolute error = 3.4e-31
relative error = 4.9706430027994453503928695553675e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.255
y[1] (analytic) = 0.684459429930252258448490107779
y[1] (numeric) = 0.68445942993025225844849010777877
absolute error = 2.3e-31
relative error = 3.3603160383579994720429044985143e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.256
y[1] (analytic) = 0.684902813844294363285008480526
y[1] (numeric) = 0.68490281384429436328500848052572
absolute error = 2.8e-31
relative error = 4.0881712608010270332499372170713e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1571.7MB, alloc=4.4MB, time=62.37
x[1] = 0.257
y[1] (analytic) = 0.6853462836501379205550806019447
y[1] (numeric) = 0.68534628365013792055508060194443
absolute error = 2.7e-31
relative error = 3.9396142715181361386709093266702e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.258
y[1] (analytic) = 0.6857898393217469331594467161056
y[1] (numeric) = 0.68578983932174693315944671610538
absolute error = 2.2e-31
relative error = 3.2079798705909994023695460282026e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.259
y[1] (analytic) = 0.6862334808331022930420149945941
y[1] (numeric) = 0.6862334808331022930420149945939
absolute error = 2.0e-31
relative error = 2.9144599554833097448228927989413e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1575.5MB, alloc=4.4MB, time=62.52
x[1] = 0.26
y[1] (analytic) = 0.6866772081582017630667526566934
y[1] (numeric) = 0.68667720815820176306675265669318
absolute error = 2.2e-31
relative error = 3.2038343108850465347675134952283e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.261
y[1] (analytic) = 0.687121021271059958922156657813
y[1] (numeric) = 0.68712102127105995892215665781268
absolute error = 3.2e-31
relative error = 4.6571126496472638645860268419776e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.262
y[1] (analytic) = 0.687564920145708331053249575564
y[1] (numeric) = 0.68756492014570833105324957556378
absolute error = 2.2e-31
relative error = 3.1996978547622490189114501957850e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1579.3MB, alloc=4.4MB, time=62.67
x[1] = 0.263
y[1] (analytic) = 0.6880089047561951466210464543466
y[1] (numeric) = 0.68800890475619514662104645434633
absolute error = 2.7e-31
relative error = 3.9243678117171752579870905712290e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.264
y[1] (analytic) = 0.6884529750765854714894385003957
y[1] (numeric) = 0.68845297507658547148943850039544
absolute error = 2.6e-31
relative error = 3.7765832876396076119752215637675e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.265
y[1] (analytic) = 0.6888971310809611522394396499486
y[1] (numeric) = 0.68889713108096115223943964994829
absolute error = 3.1e-31
relative error = 4.4999461605185276549351423416662e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1583.1MB, alloc=4.4MB, time=62.81
x[1] = 0.266
y[1] (analytic) = 0.6893413727434207982107421635282
y[1] (numeric) = 0.68934137274342079821074216352792
absolute error = 2.8e-31
relative error = 4.0618481795987976536417893327856e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.267
y[1] (analytic) = 0.6897857000380797635705275293052
y[1] (numeric) = 0.68978570003807976357052752930495
absolute error = 2.5e-31
relative error = 3.6243140440023430147929252079322e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.268
y[1] (analytic) = 0.6902301129390701294094790880918
y[1] (numeric) = 0.6902301129390701294094790880916
absolute error = 2.0e-31
relative error = 2.8975843888986475468952891278326e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1586.9MB, alloc=4.4MB, time=62.96
x[1] = 0.269
y[1] (analytic) = 0.6906746114205406858649429217453
y[1] (numeric) = 0.69067461142054068586494292174511
absolute error = 1.9e-31
relative error = 2.7509336069153995501057683799196e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.27
y[1] (analytic) = 0.6911191954566569142711836756123
y[1] (numeric) = 0.69111919545665691427118367561204
absolute error = 2.6e-31
relative error = 3.7620138712571141279129661743652e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.271
y[1] (analytic) = 0.6915638650216009693366821141315
y[1] (numeric) = 0.6915638650216009693366821141313
absolute error = 2.0e-31
relative error = 2.8919960992142498378498545526968e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1590.7MB, alloc=4.4MB, time=63.11
x[1] = 0.272
y[1] (analytic) = 0.6920086200895716613484213368343
y[1] (numeric) = 0.69200862008957166134842133683402
absolute error = 2.8e-31
relative error = 4.0461923720510531026334288168826e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.273
y[1] (analytic) = 0.6924534606347844384031087097334
y[1] (numeric) = 0.6924534606347844384031087097332
absolute error = 2.0e-31
relative error = 2.8882807491012671475874234241141e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.274
y[1] (analytic) = 0.6928983866314713686652806944873
y[1] (numeric) = 0.69289838663147136866528069448706
absolute error = 2.4e-31
relative error = 3.4637113410923220981192709314502e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1594.6MB, alloc=4.4MB, time=63.26
x[1] = 0.275
y[1] (analytic) = 0.6933433980538811226522378847483
y[1] (numeric) = 0.69334339805388112265223788474803
absolute error = 2.7e-31
relative error = 3.8941742397468930974936786445310e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.276
y[1] (analytic) = 0.6937884948762789555457576857762
y[1] (numeric) = 0.69378849487627895554575768577589
absolute error = 3.1e-31
relative error = 4.4682205353561144185392584581380e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.277
y[1] (analytic) = 0.6942336770729466895305321996998
y[1] (numeric) = 0.69423367707294668953053219969956
absolute error = 2.4e-31
relative error = 3.4570492317787973040058487725373e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.278
y[1] (analytic) = 0.6946789446181826961592790047592
y[1] (numeric) = 0.69467894461818269615927900475895
absolute error = 2.5e-31
relative error = 3.5987847614613946514879070514552e-29 %
Correct digits = 30
memory used=1598.4MB, alloc=4.4MB, time=63.41
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.279
y[1] (analytic) = 0.6951242974863018787444726424472
y[1] (numeric) = 0.69512429748630187874447264244687
absolute error = 3.3e-31
relative error = 4.7473523971661051148612738261849e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.28
y[1] (analytic) = 0.6955697356516356547766447517033
y[1] (numeric) = 0.69556973565163565477664475170307
absolute error = 2.3e-31
relative error = 3.3066418535954188268707392221296e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.281
y[1] (analytic) = 0.6960152590885319383692009141887
y[1] (numeric) = 0.69601525908853193836920091418841
absolute error = 2.9e-31
relative error = 4.1665753187619770426164334925632e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1602.2MB, alloc=4.4MB, time=63.56
x[1] = 0.282
y[1] (analytic) = 0.6964608677713551227297023991893
y[1] (numeric) = 0.69646086777135512272970239918897
absolute error = 3.3e-31
relative error = 4.7382418061187821341270564833833e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.283
y[1] (analytic) = 0.6969065616744860626575611208681
y[1] (numeric) = 0.69690656167448606265756112086793
absolute error = 1.7e-31
relative error = 2.4393514044628021169766153642589e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.284
y[1] (analytic) = 0.6973523407723220570680962443994
y[1] (numeric) = 0.69735234077232205706809624439918
absolute error = 2.2e-31
relative error = 3.1547897258987993204074482675848e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1606.0MB, alloc=4.4MB, time=63.71
x[1] = 0.285
y[1] (analytic) = 0.6977982050392768315429010009816
y[1] (numeric) = 0.69779820503927683154290100098137
absolute error = 2.3e-31
relative error = 3.2960818520170030364963679232046e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.286
y[1] (analytic) = 0.6982441544497805209064683948464
y[1] (numeric) = 0.69824415444978052090646839484625
absolute error = 1.5e-31
relative error = 2.1482456966388879090145334975390e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.287
y[1] (analytic) = 0.6986901889782796518290246081414
y[1] (numeric) = 0.6986901889782796518290246081412
absolute error = 2.0e-31
relative error = 2.8624990468589139956234032865725e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1609.8MB, alloc=4.4MB, time=63.86
x[1] = 0.288
y[1] (analytic) = 0.6991363085992371254555190319847
y[1] (numeric) = 0.69913630859923712545551903198447
absolute error = 2.3e-31
relative error = 3.2897733556539101541809698285384e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.289
y[1] (analytic) = 0.6995825132871322000607199740639
y[1] (numeric) = 0.69958251328713220006071997406367
absolute error = 2.3e-31
relative error = 3.2876750866641553964647238886579e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.29
y[1] (analytic) = 0.700028803016460473730365214875
y[1] (numeric) = 0.7000288030164604737303652148748
absolute error = 2.0e-31
relative error = 2.8570252986475643776112208541461e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1613.6MB, alloc=4.4MB, time=64.01
x[1] = 0.291
y[1] (analytic) = 0.7004751777617338670683167060816
y[1] (numeric) = 0.70047517776173386706831670608137
absolute error = 2.3e-31
relative error = 3.2834853725285656906605316912913e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.292
y[1] (analytic) = 0.7009216374974806059296688255128
y[1] (numeric) = 0.70092163749748060592966882551267
absolute error = 1.3e-31
relative error = 1.8547009115618473434255006034944e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.293
y[1] (analytic) = 0.7013681821982452041797597240176
y[1] (numeric) = 0.70136818219824520417975972401741
absolute error = 1.9e-31
relative error = 2.7089908670293166399223237048906e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1617.4MB, alloc=4.4MB, time=64.16
x[1] = 0.294
y[1] (analytic) = 0.7018148118385884464790354197457
y[1] (numeric) = 0.70181481183858844647903541974544
absolute error = 2.6e-31
relative error = 3.7046810015146535775225034280626e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.295
y[1] (analytic) = 0.7022615263930873710937164154472
y[1] (numeric) = 0.70226152639308737109371641544696
absolute error = 2.4e-31
relative error = 3.4175302359602881390273998744317e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.296
y[1] (analytic) = 0.7027083258363352527322167340566
y[1] (numeric) = 0.70270832583633525273221673405646
absolute error = 1.4e-31
relative error = 1.9922917496868649962405461526809e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1621.3MB, alloc=4.4MB, time=64.31
x[1] = 0.297
y[1] (analytic) = 0.7031552101429415854072653871694
y[1] (numeric) = 0.70315521014294158540726538716924
absolute error = 1.6e-31
relative error = 2.2754577892905642497785027050419e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.298
y[1] (analytic) = 0.7036021792875320653236804100224
y[1] (numeric) = 0.70360217928753206532368041002225
absolute error = 1.5e-31
relative error = 2.1318865179168444082769964343215e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.299
y[1] (analytic) = 0.7040492332447485737917457152597
y[1] (numeric) = 0.70404923324474857379174571525952
absolute error = 1.8e-31
relative error = 2.5566393868570071382592419752725e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1625.1MB, alloc=4.4MB, time=64.47
x[1] = 0.3
y[1] (analytic) = 0.7044963719892491601661411360971
y[1] (numeric) = 0.70449637198924916016614113609687
absolute error = 2.3e-31
relative error = 3.2647435692331695005683386575842e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.301
y[1] (analytic) = 0.704943595495708024810376147502
y[1] (numeric) = 0.7049435954957080248103761475017
absolute error = 3.0e-31
relative error = 4.2556596288961748366472055334050e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.302
y[1] (analytic) = 0.7053909037388155020866778716729
y[1] (numeric) = 0.70539090373881550208667787167266
absolute error = 2.4e-31
relative error = 3.4023687961939554380047300352051e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1628.9MB, alloc=4.4MB, time=64.62
x[1] = 0.303
y[1] (analytic) = 0.7058382966932780433712840914422
y[1] (numeric) = 0.70583829669327804337128409144202
absolute error = 1.8e-31
relative error = 2.5501591631293843046174263766278e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.304
y[1] (analytic) = 0.7062857743338182000950921122319
y[1] (numeric) = 0.70628577433381820009509211223162
absolute error = 2.8e-31
relative error = 3.9644009574467385604313047895376e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.305
y[1] (analytic) = 0.7067333366351746068096144298726
y[1] (numeric) = 0.7067333366351746068096144298724
absolute error = 2.0e-31
relative error = 2.8299216922781545454157330237081e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1632.7MB, alloc=4.4MB, time=64.77
x[1] = 0.306
y[1] (analytic) = 0.7071809835721019642781922779492
y[1] (numeric) = 0.70718098357210196427819227794898
absolute error = 2.2e-31
relative error = 3.1109433809820408886503297461386e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.307
y[1] (analytic) = 0.7076287151193710225924182443554
y[1] (numeric) = 0.70762871511937102259241824435526
absolute error = 1.4e-31
relative error = 1.9784386502232767012379984894399e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.308
y[1] (analytic) = 0.7080765312517685643137192624461
y[1] (numeric) = 0.70807653125176856431371926244595
absolute error = 1.5e-31
relative error = 2.1184150777434108704501116545839e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1636.5MB, alloc=4.4MB, time=64.92
x[1] = 0.309
y[1] (analytic) = 0.7085244319440973876400513975436
y[1] (numeric) = 0.70852443194409738764005139754334
absolute error = 2.6e-31
relative error = 3.6695982280610192525584628327501e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.31
y[1] (analytic) = 0.7089724171711762895976579646094
y[1] (numeric) = 0.70897241717117628959765796460916
absolute error = 2.4e-31
relative error = 3.3851810618755528626043614583686e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.311
y[1] (analytic) = 0.7094204869078400492578426276198
y[1] (numeric) = 0.70942048690784004925784262761964
absolute error = 1.6e-31
relative error = 2.2553619884505168649877653432724e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1640.3MB, alloc=4.4MB, time=65.07
x[1] = 0.312
y[1] (analytic) = 0.7098686411289394109787092455888
y[1] (numeric) = 0.70986864112893941097870924558861
absolute error = 1.9e-31
relative error = 2.6765515335039106507253710280007e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.313
y[1] (analytic) = 0.7103168798093410676718203442698
y[1] (numeric) = 0.71031687980934106767182034426962
absolute error = 1.8e-31
relative error = 2.5340802832718054528599876273684e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.314
y[1] (analytic) = 0.7107652029239276440937262063351
y[1] (numeric) = 0.7107652029239276440937262063349
absolute error = 2.0e-31
relative error = 2.8138687597148134807642946831337e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.315
y[1] (analytic) = 0.7112136104475976801623166862777
y[1] (numeric) = 0.7112136104475976801623166862775
absolute error = 2.0e-31
relative error = 2.8120946655412189754171388180008e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1644.1MB, alloc=4.4MB, time=65.22
TOP MAIN SOLVE Loop
x[1] = 0.316
y[1] (analytic) = 0.7116621023552656142979479694141
y[1] (numeric) = 0.7116621023552656142979479694139
absolute error = 2.0e-31
relative error = 2.8103224737989336686225467197976e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.317
y[1] (analytic) = 0.7121106786218617667892966071795
y[1] (numeric) = 0.71211067862186176678929660717929
absolute error = 2.1e-31
relative error = 2.9489797907034645211810929018211e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.318
y[1] (analytic) = 0.7125593392223323231838932734072
y[1] (numeric) = 0.71255933922233232318389327340706
absolute error = 1.4e-31
relative error = 1.9647486503059822616471976970946e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1648.0MB, alloc=4.4MB, time=65.38
x[1] = 0.319
y[1] (analytic) = 0.7130080841316393177032887984695
y[1] (numeric) = 0.7130080841316393177032887984692
absolute error = 3.0e-31
relative error = 4.2075259267973799828298931994777e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.32
y[1] (analytic) = 0.7134569133247606166828051500266
y[1] (numeric) = 0.71345691332476061668280515002639
absolute error = 2.1e-31
relative error = 2.9434153076096056126476916805998e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.321
y[1] (analytic) = 0.7139058267766899020358241406961
y[1] (numeric) = 0.71390582677668990203582414069587
absolute error = 2.3e-31
relative error = 3.2217134441731362207116506176212e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1651.8MB, alloc=4.4MB, time=65.54
x[1] = 0.322
y[1] (analytic) = 0.7143548244624366547425667541941
y[1] (numeric) = 0.71435482446243665474256675419386
absolute error = 2.4e-31
relative error = 3.3596749371799064956381969233755e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.323
y[1] (analytic) = 0.7148039063570261383633160924474
y[1] (numeric) = 0.71480390635702613836331609244724
absolute error = 1.6e-31
relative error = 2.2383761277331929057908440895970e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.324
y[1] (analytic) = 0.7152530724354993825760370567982
y[1] (numeric) = 0.71525307243549938257603705679805
absolute error = 1.5e-31
relative error = 2.0971598135082014664229240008529e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1655.6MB, alloc=4.4MB, time=65.69
x[1] = 0.325
y[1] (analytic) = 0.7157023226729131667383459867453
y[1] (numeric) = 0.71570232267291316673834598674514
absolute error = 1.6e-31
relative error = 2.2355663092227022220103891687446e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.326
y[1] (analytic) = 0.7161516570443400034737835896805
y[1] (numeric) = 0.71615165704434000347378358968036
absolute error = 1.4e-31
relative error = 1.9548931936819075585847151409468e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.327
y[1] (analytic) = 0.7166010755248681222823446047843
y[1] (numeric) = 0.716601075524868122282344604784
absolute error = 3.0e-31
relative error = 4.1864296642349811198174368688050e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1659.4MB, alloc=4.4MB, time=65.84
x[1] = 0.328
y[1] (analytic) = 0.717050578089601453175217753646
y[1] (numeric) = 0.71705057808960145317521775364579
absolute error = 2.1e-31
relative error = 2.9286637012341791550831241077772e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.329
y[1] (analytic) = 0.7175001647136596103336896392754
y[1] (numeric) = 0.71750016471365961033368963927519
absolute error = 2.1e-31
relative error = 2.9268285963921266008035297737561e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.33
y[1] (analytic) = 0.7179498353721778757921663639591
y[1] (numeric) = 0.71794983537217787579216636395891
absolute error = 1.9e-31
relative error = 2.6464244525037872163069632968860e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1663.2MB, alloc=4.4MB, time=65.99
x[1] = 0.331
y[1] (analytic) = 0.7183995900403071831452667449155
y[1] (numeric) = 0.71839959004030718314526674491529
absolute error = 2.1e-31
relative error = 2.9231642516418689536632037637066e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.332
y[1] (analytic) = 0.7188494286932141012789411148857
y[1] (numeric) = 0.71884942869321410127894111488542
absolute error = 2.8e-31
relative error = 3.8951133411764396727276255576230e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.333
y[1] (analytic) = 0.7192993513060808181255698026912
y[1] (numeric) = 0.71929935130608081812556980269098
absolute error = 2.2e-31
relative error = 3.0585318838468437026700693458421e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1667.0MB, alloc=4.4MB, time=66.14
x[1] = 0.334
y[1] (analytic) = 0.7197493578541051244429954963793
y[1] (numeric) = 0.7197493578541051244429954963791
absolute error = 2.0e-31
relative error = 2.7787450981031714519325746590533e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.335
y[1] (analytic) = 0.7201994483125003976174437988667
y[1] (numeric) = 0.72019944831250039761744379886646
absolute error = 2.4e-31
relative error = 3.3324102172300199848128549114347e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.336
y[1] (analytic) = 0.7206496226564955854902863929896
y[1] (numeric) = 0.72064962265649558549028639298943
absolute error = 1.7e-31
relative error = 2.3589827102571327852140065198167e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1670.8MB, alloc=4.4MB, time=66.29
x[1] = 0.337
y[1] (analytic) = 0.7210998808613351902086013395648
y[1] (numeric) = 0.72109988086133519020860133956466
absolute error = 1.4e-31
relative error = 1.9414786178132995188403709538829e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.338
y[1] (analytic) = 0.7215502229022792520994851384671
y[1] (numeric) = 0.72155022290227925209948513846684
absolute error = 2.6e-31
relative error = 3.6033527777762495797796916979511e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.339
y[1] (analytic) = 0.7220006487546033335680712888379
y[1] (numeric) = 0.72200064875460333356807128883768
absolute error = 2.2e-31
relative error = 3.0470886747745089673903435597558e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1674.7MB, alloc=4.4MB, time=66.44
x[1] = 0.34
y[1] (analytic) = 0.7224511583935985030192101903542
y[1] (numeric) = 0.72245115839359850301921019035403
absolute error = 1.7e-31
relative error = 2.3531002480223351859092412951394e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.341
y[1] (analytic) = 0.722901751794571318802765333004
y[1] (numeric) = 0.72290175179457131880276533300382
absolute error = 1.8e-31
relative error = 2.4899649164379258677066060430631e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.342
y[1] (analytic) = 0.7233524289328438131824808280477
y[1] (numeric) = 0.72335242893284381318248082804751
absolute error = 1.9e-31
relative error = 2.6266587682619040281777656474299e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1678.5MB, alloc=4.4MB, time=66.59
x[1] = 0.343
y[1] (analytic) = 0.7238031897837534763283754377811
y[1] (numeric) = 0.7238031897837534763283754377809
absolute error = 2.0e-31
relative error = 2.7631820752234160753544193775669e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.344
y[1] (analytic) = 0.7242540343226532403326183663633
y[1] (numeric) = 0.72425403432265324033261836636312
absolute error = 1.8e-31
relative error = 2.4853158072960140412915722148012e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.345
y[1] (analytic) = 0.7247049625249114632488421783328
y[1] (numeric) = 0.72470496252491146324884217833251
absolute error = 2.9e-31
relative error = 4.0016284556631742117968810698940e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1682.3MB, alloc=4.4MB, time=66.75
x[1] = 0.346
y[1] (analytic) = 0.7251559743659119131548483155042
y[1] (numeric) = 0.725155974365911913154848315504
absolute error = 2.0e-31
relative error = 2.7580273357726002006763839203059e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.347
y[1] (analytic) = 0.7256070698210537522386607867251
y[1] (numeric) = 0.72560706982105375223866078672496
absolute error = 1.4e-31
relative error = 1.9294189075986570443346999547740e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.348
y[1] (analytic) = 0.726058248865751520907883708464
y[1] (numeric) = 0.72605824886575152090788370846383
absolute error = 1.7e-31
relative error = 2.3414099387421610620765776827904e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.349
y[1] (analytic) = 0.7265095114754351219223184774176
y[1] (numeric) = 0.72650951147543512192231847741741
absolute error = 1.9e-31
relative error = 2.6152444943788504854939456937929e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1686.1MB, alloc=4.4MB, time=66.90
TOP MAIN SOLVE Loop
x[1] = 0.35
y[1] (analytic) = 0.7269608576255498045497964592503
y[1] (numeric) = 0.7269608576255498045497964592501
absolute error = 2.0e-31
relative error = 2.7511797630102662280860228194774e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.351
y[1] (analytic) = 0.727412287291556148745183180222
y[1] (numeric) = 0.72741228729155614874518318022186
absolute error = 1.4e-31
relative error = 1.9246306729471866801703722643786e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.352
y[1] (analytic) = 0.7278638004489300493525101108228
y[1] (numeric) = 0.72786380044893004935251011082264
absolute error = 1.6e-31
relative error = 2.1982134556123768277589624279400e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1689.9MB, alloc=4.4MB, time=67.05
x[1] = 0.353
y[1] (analytic) = 0.7283153970731627003301902326102
y[1] (numeric) = 0.72831539707316270033019023261009
absolute error = 1.1e-31
relative error = 1.5103346770101303194440267753345e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.354
y[1] (analytic) = 0.7287670771397605789992736812458
y[1] (numeric) = 0.72876707713976057899927368124561
absolute error = 1.9e-31
relative error = 2.6071430222356548382857704509461e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.355
y[1] (analytic) = 0.7292188406242454303146998602421
y[1] (numeric) = 0.72921884062424543031469986024186
absolute error = 2.4e-31
relative error = 3.2911930771638974128768555645238e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1693.7MB, alloc=4.4MB, time=67.20
x[1] = 0.356
y[1] (analytic) = 0.7296706875021542511595025211742
y[1] (numeric) = 0.72967068750215425115950252117399
absolute error = 2.1e-31
relative error = 2.8780106368104584744588502885194e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.357
y[1] (analytic) = 0.7301226177490392746619244070677
y[1] (numeric) = 0.73012261774903927466192440706753
absolute error = 1.7e-31
relative error = 2.3283760270858105872529506654950e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.358
y[1] (analytic) = 0.7305746313404679545353981563596
y[1] (numeric) = 0.73057463134046795453539815635938
absolute error = 2.2e-31
relative error = 3.0113282142899090653559547478288e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1697.6MB, alloc=4.4MB, time=67.35
x[1] = 0.359
y[1] (analytic) = 0.7310267282520229494413502652354
y[1] (numeric) = 0.73102672825202294944135026523524
absolute error = 1.6e-31
relative error = 2.1887024621190003192977977385541e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.36
y[1] (analytic) = 0.7314789084593021073747850062784
y[1] (numeric) = 0.73147890845930210737478500627814
absolute error = 2.6e-31
relative error = 3.5544428826749395396703558474064e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.361
y[1] (analytic) = 0.7319311719379184500726053012196
y[1] (numeric) = 0.73193117193791845007260530121935
absolute error = 2.5e-31
relative error = 3.4156217085013658765573393665161e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1701.4MB, alloc=4.4MB, time=67.50
x[1] = 0.362
y[1] (analytic) = 0.7323835186635001574446276451658
y[1] (numeric) = 0.73238351866350015744462764516567
absolute error = 1.3e-31
relative error = 1.7750262900130827044471614312181e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.363
y[1] (analytic) = 0.7328359486116905520272482789871
y[1] (numeric) = 0.73283594861169055202724827898683
absolute error = 2.7e-31
relative error = 3.6843170768505177824845036894387e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.364
y[1] (analytic) = 0.7332884617581480834597179055845
y[1] (numeric) = 0.73328846175814808345971790558436
absolute error = 1.4e-31
relative error = 1.9092077306703150454536108730801e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1705.2MB, alloc=4.4MB, time=67.65
x[1] = 0.365
y[1] (analytic) = 0.7337410580785463129829823445299
y[1] (numeric) = 0.73374105807854631298298234452962
absolute error = 2.8e-31
relative error = 3.8160601334377863674041725256197e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.366
y[1] (analytic) = 0.7341937375485738979610466180548
y[1] (numeric) = 0.73419373754857389796104661805456
absolute error = 2.4e-31
relative error = 3.2688919521616284228657215674275e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.367
y[1] (analytic) = 0.7346465001439345764248200596054
y[1] (numeric) = 0.73464650014393457642482005960519
absolute error = 2.1e-31
relative error = 2.8585176674612353973388594933398e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1709.0MB, alloc=4.4MB, time=67.79
x[1] = 0.368
y[1] (analytic) = 0.7350993458403471516384001341257
y[1] (numeric) = 0.73509934584034715163840013412546
absolute error = 2.4e-31
relative error = 3.2648648289251028247459495480228e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.369
y[1] (analytic) = 0.7355522746135454766877527569291
y[1] (numeric) = 0.73555227461354547668775275692885
absolute error = 2.5e-31
relative error = 3.3988067011464062476348210625245e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.37
y[1] (analytic) = 0.7360052864392784390917469954383
y[1] (numeric) = 0.73600528643927843909174699543802
absolute error = 2.8e-31
relative error = 3.8043205009384185707370564720001e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1712.8MB, alloc=4.4MB, time=67.95
x[1] = 0.371
y[1] (analytic) = 0.7364583812933099454355021352295
y[1] (numeric) = 0.7364583812933099454355021352293
absolute error = 2.0e-31
relative error = 2.7156999645896598080360657894594e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.372
y[1] (analytic) = 0.7369115591514189060260051887105
y[1] (numeric) = 0.7369115591514189060260051887102
absolute error = 3.0e-31
relative error = 4.0710448394304082886975499654142e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.373
y[1] (analytic) = 0.737364819989399219569957021385
y[1] (numeric) = 0.73736481998939921956995702138488
absolute error = 1.2e-31
relative error = 1.6274169413415355097403395943191e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1716.6MB, alloc=4.4MB, time=68.10
x[1] = 0.374
y[1] (analytic) = 0.7378181637830597578738053670258
y[1] (numeric) = 0.73781816378305975787380536702563
absolute error = 1.7e-31
relative error = 2.3040907413873996240045206797469e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.375
y[1] (analytic) = 0.738271590508224350565923099169
y[1] (numeric) = 0.73827159050822435056592309916885
absolute error = 1.5e-31
relative error = 2.0317726149632869961346557267080e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.376
y[1] (analytic) = 0.7387251001407317698408902221924
y[1] (numeric) = 0.73872510014073176984089022219221
absolute error = 1.9e-31
relative error = 2.5719987037641445652662897403534e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1720.4MB, alloc=4.4MB, time=68.25
x[1] = 0.377
y[1] (analytic) = 0.739178692656435715225838140807
y[1] (numeric) = 0.73917869265643571522583814080685
absolute error = 1.5e-31
relative error = 2.0292792729310825549074621041273e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.378
y[1] (analytic) = 0.7396323680312047983688148621155
y[1] (numeric) = 0.73963236803120479836881486211529
absolute error = 2.1e-31
relative error = 2.8392483763114621112663579932893e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.379
y[1] (analytic) = 0.7400861262409225278491298794432
y[1] (numeric) = 0.74008612624092252784912987944299
absolute error = 2.1e-31
relative error = 2.8375075893753215673395919048393e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1724.3MB, alloc=4.4MB, time=68.40
x[1] = 0.38
y[1] (analytic) = 0.7405399672614872940096375819502
y[1] (numeric) = 0.74053996726148729400963758194999
absolute error = 2.1e-31
relative error = 2.8357686186280915982992345139999e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.381
y[1] (analytic) = 0.7409938910688123538109181285699
y[1] (numeric) = 0.7409938910688123538109181285697
absolute error = 2.0e-31
relative error = 2.6990775822931448681054330365021e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.382
y[1] (analytic) = 0.7414478976388258157073148191057
y[1] (numeric) = 0.74144789763882581570731481910548
absolute error = 2.2e-31
relative error = 2.9671673586316705026435652063227e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.383
y[1] (analytic) = 0.7419019869474706245447870893431
y[1] (numeric) = 0.74190198694747062454478708934289
absolute error = 2.1e-31
relative error = 2.8305625769252558752788213549860e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1728.1MB, alloc=4.4MB, time=68.54
TOP MAIN SOLVE Loop
x[1] = 0.384
y[1] (analytic) = 0.7423561589707045464805383508074
y[1] (numeric) = 0.74235615897070454648053835080721
absolute error = 1.9e-31
relative error = 2.5594183829961048686819315303459e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.385
y[1] (analytic) = 0.7428104136845001539243779893133
y[1] (numeric) = 0.74281041368450015392437798931299
absolute error = 3.1e-31
relative error = 4.1733394455569492765546219188224e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.386
y[1] (analytic) = 0.7432647510648448105017769297157
y[1] (numeric) = 0.74326475106484481050177692971552
absolute error = 1.8e-31
relative error = 2.4217481017648342686683137622900e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1731.9MB, alloc=4.4MB, time=68.69
x[1] = 0.387
y[1] (analytic) = 0.7437191710877406560385762672845
y[1] (numeric) = 0.74371917108774065603857626728427
absolute error = 2.3e-31
relative error = 3.0925651635900297421599797042451e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.388
y[1] (analytic) = 0.7441736737292045915673085588764
y[1] (numeric) = 0.74417367372920459156730855887618
absolute error = 2.2e-31
relative error = 2.9562991512120492401370354155116e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.389
y[1] (analytic) = 0.7446282589652682643550914595932
y[1] (numeric) = 0.74462825896526826435509145959293
absolute error = 2.7e-31
relative error = 3.6259703650676736459659435968737e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1735.7MB, alloc=4.4MB, time=68.85
x[1] = 0.39
y[1] (analytic) = 0.7450829267719780529530534828622
y[1] (numeric) = 0.74508292677197805295305348286201
absolute error = 1.9e-31
relative error = 2.5500517213991507264584683734599e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.391
y[1] (analytic) = 0.7455376771253950522672517538872
y[1] (numeric) = 0.74553767712539505226725175388702
absolute error = 1.8e-31
relative error = 2.4143649009669709651052666668126e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.392
y[1] (analytic) = 0.7459925100015950586510417181694
y[1] (numeric) = 0.74599251000159505865104171816918
absolute error = 2.2e-31
relative error = 2.9490912717009665773378364765170e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1739.5MB, alloc=4.4MB, time=69.01
x[1] = 0.393
y[1] (analytic) = 0.7464474253766685550188588583104
y[1] (numeric) = 0.74644742537666855501885885831011
absolute error = 2.9e-31
relative error = 3.8850693316232105010066871408577e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.394
y[1] (analytic) = 0.7469024232267206959813725635669
y[1] (numeric) = 0.74690242322672069598137256356666
absolute error = 2.4e-31
relative error = 3.2132711387274277607355680350702e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.395
y[1] (analytic) = 0.7473575035278712930019723876423
y[1] (numeric) = 0.74735750352787129300197238764209
absolute error = 2.1e-31
relative error = 2.8099002018271493117732164091969e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1743.3MB, alloc=4.4MB, time=69.16
x[1] = 0.396
y[1] (analytic) = 0.7478126662562547995745470209659
y[1] (numeric) = 0.74781266625625479957454702096573
absolute error = 1.7e-31
relative error = 2.2732966111829093204043519425192e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.397
y[1] (analytic) = 0.7482679113880202964225163942358
y[1] (numeric) = 0.74826791138802029642251639423567
absolute error = 1.3e-31
relative error = 1.7373456488178531904962680350184e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.398
y[1] (analytic) = 0.748723238899331476719077420277
y[1] (numeric) = 0.74872323889933147671907742027676
absolute error = 2.4e-31
relative error = 3.2054568034086205287931932195646e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1747.1MB, alloc=4.4MB, time=69.31
x[1] = 0.399
y[1] (analytic) = 0.7491786487663666313286239713007
y[1] (numeric) = 0.74917864876636663132862397130052
absolute error = 1.8e-31
relative error = 2.4026312054727747883396679705225e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.4
y[1] (analytic) = 0.7496341409653186340693017784447
y[1] (numeric) = 0.74963414096531863406930177844456
absolute error = 1.4e-31
relative error = 1.8675776935628791557326677313996e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.401
y[1] (analytic) = 0.7500897154723949269966590300183
y[1] (numeric) = 0.75008971547239492699665903001808
absolute error = 2.2e-31
relative error = 2.9329824881207362663834491194233e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1751.0MB, alloc=4.4MB, time=69.46
x[1] = 0.402
y[1] (analytic) = 0.7505453722638175057083535341876
y[1] (numeric) = 0.75054537226381750570835353418747
absolute error = 1.3e-31
relative error = 1.7320738332965813046103085875781e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.403
y[1] (analytic) = 0.7510011113158229046698774009028
y[1] (numeric) = 0.75100111131582290466987740090259
absolute error = 2.1e-31
relative error = 2.7962674999516407851642932423944e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.404
y[1] (analytic) = 0.7514569326046621825612602866914
y[1] (numeric) = 0.7514569326046621825612602866912
absolute error = 2.0e-31
relative error = 2.6614965052856731305458209013642e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1754.8MB, alloc=4.4MB, time=69.61
x[1] = 0.405
y[1] (analytic) = 0.7519128361066009076447123345365
y[1] (numeric) = 0.75191283610660090764471233453636
absolute error = 1.4e-31
relative error = 1.8619179415119305896180415585273e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.406
y[1] (analytic) = 0.7523688217979191431531680294008
y[1] (numeric) = 0.75236882179791914315316802940062
absolute error = 1.8e-31
relative error = 2.3924436364848024763293546933282e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.407
y[1] (analytic) = 0.7528248896549114326996922780724
y[1] (numeric) = 0.7528248896549114326996922780721
absolute error = 3.0e-31
relative error = 3.9849904555828044514076448024942e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1758.6MB, alloc=4.4MB, time=69.77
x[1] = 0.408
y[1] (analytic) = 0.753281039653886785707710109882
y[1] (numeric) = 0.75328103965388678570771010988183
absolute error = 1.7e-31
relative error = 2.2567938266189550786066290944740e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.409
y[1] (analytic) = 0.7537372717711686628620214824797
y[1] (numeric) = 0.75373727177116866286202148247948
absolute error = 2.2e-31
relative error = 2.9187889234007660591916675877939e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.41
y[1] (analytic) = 0.7541935859830949615805627642576
y[1] (numeric) = 0.75419358598309496158056276425732
absolute error = 2.8e-31
relative error = 3.7125746652302625354742103600754e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1762.4MB, alloc=4.4MB, time=69.91
x[1] = 0.411
y[1] (analytic) = 0.7546499822660180015068765521798
y[1] (numeric) = 0.7546499822660180015068765521796
absolute error = 2.0e-31
relative error = 2.6502352706542431346371146706015e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.412
y[1] (analytic) = 0.7551064605963045100232515707084
y[1] (numeric) = 0.75510646059630451002325157070816
absolute error = 2.4e-31
relative error = 3.1783597747325982774011306248506e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.413
y[1] (analytic) = 0.7555630209503356077844944842155
y[1] (numeric) = 0.75556302095033560778449448421536
absolute error = 1.4e-31
relative error = 1.8529228683520024838257844593413e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1766.2MB, alloc=4.4MB, time=70.06
x[1] = 0.414
y[1] (analytic) = 0.756019663304506794272295541743
y[1] (numeric) = 0.7560196633045067942722955417427
absolute error = 3.0e-31
relative error = 3.9681507579938051604540433207802e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.415
y[1] (analytic) = 0.7564763876352279333701500591997
y[1] (numeric) = 0.75647638763522793337015005919946
absolute error = 2.4e-31
relative error = 3.1726039823959149287507569225221e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.416
y[1] (analytic) = 0.7569331939189232389587978301
y[1] (numeric) = 0.75693319391892323895879783009981
absolute error = 1.9e-31
relative error = 2.5101290513671317911317183311827e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.417
y[1] (analytic) = 0.7573900821320312605321426417113
y[1] (numeric) = 0.75739008213203126053214264171106
absolute error = 2.4e-31
relative error = 3.1687766404916065771918637188133e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1770.0MB, alloc=4.4MB, time=70.21
TOP MAIN SOLVE Loop
x[1] = 0.418
y[1] (analytic) = 0.7578470522510048688336141590299
y[1] (numeric) = 0.75784705225100486883361415902972
absolute error = 1.8e-31
relative error = 2.3751494376781265448999456146855e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.419
y[1] (analytic) = 0.7583041042523112415129345243176
y[1] (numeric) = 0.75830410425231124151293452431734
absolute error = 2.6e-31
relative error = 3.4287035839844268361562778755825e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.42
y[1] (analytic) = 0.758761238112431848803252105015
y[1] (numeric) = 0.75876123811243184880325210501476
absolute error = 2.4e-31
relative error = 3.1630503502926336904664402496175e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1773.8MB, alloc=4.4MB, time=70.36
x[1] = 0.421
y[1] (analytic) = 0.759218453807862439218604907713
y[1] (numeric) = 0.75921845380786243921860490771276
absolute error = 2.4e-31
relative error = 3.1611455016178713511038252960647e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.422
y[1] (analytic) = 0.7596757513151130252716762604892
y[1] (numeric) = 0.75967575131511302527167626048904
absolute error = 1.6e-31
relative error = 2.1061617370702688169920785200919e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.423
y[1] (analytic) = 0.760133130610707869211805450328
y[1] (numeric) = 0.76013313061070786921180545032775
absolute error = 2.5e-31
relative error = 3.2888975619197710510316457898257e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1777.7MB, alloc=4.4MB, time=70.51
x[1] = 0.424
y[1] (analytic) = 0.7605905916711854687832160865183
y[1] (numeric) = 0.76059059167118546878321608651807
absolute error = 2.3e-31
relative error = 3.0239658828100833571338017279309e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.425
y[1] (analytic) = 0.7610481344730985430034250448841
y[1] (numeric) = 0.76104813447309854300342504488397
absolute error = 1.3e-31
relative error = 1.7081705362828824807067841805929e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.426
y[1] (analytic) = 0.7615057589930140179617949314291
y[1] (numeric) = 0.76150575899301401796179493142884
absolute error = 2.6e-31
relative error = 3.4142880330125673479928131570295e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1781.5MB, alloc=4.4MB, time=70.65
x[1] = 0.427
y[1] (analytic) = 0.7619634652075130126381930874868
y[1] (numeric) = 0.76196346520751301263819308748658
absolute error = 2.2e-31
relative error = 2.8872775407950200593765108471272e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.428
y[1] (analytic) = 0.7624212530931908247417202417563
y[1] (numeric) = 0.7624212530931908247417202417561
absolute error = 2.0e-31
relative error = 2.6232217319308382439870959576254e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.429
y[1] (analytic) = 0.7628791226266569165694719976595
y[1] (numeric) = 0.76287912262665691656947199765921
absolute error = 2.9e-31
relative error = 3.8013886000904787392844117082849e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1785.3MB, alloc=4.4MB, time=70.80
x[1] = 0.43
y[1] (analytic) = 0.7633370737845349008852964273041
y[1] (numeric) = 0.76333707378453490088529642730383
absolute error = 2.7e-31
relative error = 3.5371005715911575457378654985428e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.431
y[1] (analytic) = 0.7637951065434625268185111259556
y[1] (numeric) = 0.76379510654346252681851112595529
absolute error = 3.1e-31
relative error = 4.0586801007785711799034076564469e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.432
y[1] (analytic) = 0.76425322088009166578254316332
y[1] (numeric) = 0.76425322088009166578254316331975
absolute error = 2.5e-31
relative error = 3.2711671101903543029095816651655e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1789.1MB, alloc=4.4MB, time=70.95
x[1] = 0.433
y[1] (analytic) = 0.7647114167710882974134554501253
y[1] (numeric) = 0.76471141677108829741345545012512
absolute error = 1.8e-31
relative error = 2.3538291184409229646692941986653e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.434
y[1] (analytic) = 0.7651696941931324955283231204485
y[1] (numeric) = 0.76516969419313249552832312044822
absolute error = 2.8e-31
relative error = 3.6593189997580675086728110705897e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.435
y[1] (analytic) = 0.7656280531229184141034236119817
y[1] (numeric) = 0.76562805312291841410342361198149
absolute error = 2.1e-31
relative error = 2.7428462050656517602075589804973e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1792.9MB, alloc=4.4MB, time=71.10
x[1] = 0.436
y[1] (analytic) = 0.7660864935371542732722042079607
y[1] (numeric) = 0.76608649353715427327220420796042
absolute error = 2.8e-31
relative error = 3.6549397798046459993197730328699e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.437
y[1] (analytic) = 0.766545015412562345342990885784
y[1] (numeric) = 0.76654501541256234534299088578377
absolute error = 2.3e-31
relative error = 3.0004761021922718291162075292313e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.438
y[1] (analytic) = 0.7670036187258789408364023984537
y[1] (numeric) = 0.76700361872587894083640239845349
absolute error = 2.1e-31
relative error = 2.7379271084645605549418294354145e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1796.7MB, alloc=4.4MB, time=71.25
x[1] = 0.439
y[1] (analytic) = 0.7674623034538543945424335958411
y[1] (numeric) = 0.76746230345385439454243359584093
absolute error = 1.7e-31
relative error = 2.2150925098853624476595291763657e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.44
y[1] (analytic) = 0.7679210695732530515971720734509
y[1] (numeric) = 0.7679210695732530515971720734507
absolute error = 2.0e-31
relative error = 2.6044343347831755738702016612349e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.441
y[1] (analytic) = 0.7683799170608532535791123168049
y[1] (numeric) = 0.76837991706085325357911231680458
absolute error = 3.2e-31
relative error = 4.1646065038248131937648342441404e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1800.6MB, alloc=4.4MB, time=71.40
x[1] = 0.442
y[1] (analytic) = 0.7688388458934473246250315898054
y[1] (numeric) = 0.76883884589344732462503158980514
absolute error = 2.6e-31
relative error = 3.3817229890076751296926569101927e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.443
y[1] (analytic) = 0.7692978560478415575653918954639
y[1] (numeric) = 0.76929785604784155756539189546369
absolute error = 2.1e-31
relative error = 2.7297619296490070258338036611020e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.444
y[1] (analytic) = 0.76975694750085620007923241719
y[1] (numeric) = 0.76975694750085620007923241718975
absolute error = 2.5e-31
relative error = 3.2477784164425735850373893950002e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1804.4MB, alloc=4.4MB, time=71.55
x[1] = 0.445
y[1] (analytic) = 0.7702161202293254408685169284408
y[1] (numeric) = 0.77021612022932544086851692844058
absolute error = 2.2e-31
relative error = 2.8563411518119983078123917310778e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.446
y[1] (analytic) = 0.77067537421009739585190073792
y[1] (numeric) = 0.77067537421009739585190073791969
absolute error = 3.1e-31
relative error = 4.0224459010090214602378771329367e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.447
y[1] (analytic) = 0.7711347094200340943778818166941
y[1] (numeric) = 0.77113470942003409437788181669379
absolute error = 3.1e-31
relative error = 4.0200498850991830885911488357883e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1808.2MB, alloc=4.4MB, time=71.70
x[1] = 0.448
y[1] (analytic) = 0.7715941258360114654573008325686
y[1] (numeric) = 0.7715941258360114654573008325684
absolute error = 2.0e-31
relative error = 2.5920363219886205275807942048738e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.449
y[1] (analytic) = 0.7720536234349193240151548958245
y[1] (numeric) = 0.77205362343491932401515489582434
absolute error = 1.6e-31
relative error = 2.0723949107077442033356543170335e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.45
y[1] (analytic) = 0.7725132021936613571616898989715
y[1] (numeric) = 0.77251320219366135716168989897132
absolute error = 1.8e-31
relative error = 2.3300572661912358457855174889683e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.451
y[1] (analytic) = 0.7729728620891551104827364115212
y[1] (numeric) = 0.77297286208915511048273641152089
absolute error = 3.1e-31
relative error = 4.0104900857986969189491391819065e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1812.0MB, alloc=4.4MB, time=71.84
x[1] = 0.452
y[1] (analytic) = 0.7734326030983319743492541689207
y[1] (numeric) = 0.77343260309833197434925416892046
absolute error = 2.4e-31
relative error = 3.1030499495181882990256140836808e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.453
y[1] (analytic) = 0.7738924251981371702460502727233
y[1] (numeric) = 0.77389242519813717024605027272303
absolute error = 2.7e-31
relative error = 3.4888569936690202748544517557241e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.454
y[1] (analytic) = 0.7743523283655297371196362967948
y[1] (numeric) = 0.77435232836552973711963629679466
absolute error = 1.4e-31
relative error = 1.8079625368403824688786681642417e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1815.8MB, alloc=4.4MB, time=71.99
x[1] = 0.455
y[1] (analytic) = 0.774812312577482517745189571884
y[1] (numeric) = 0.77481231257748251774518957188385
absolute error = 1.5e-31
relative error = 1.9359527148066552045417391475262e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.456
y[1] (analytic) = 0.7752723778109821451125839981953
y[1] (numeric) = 0.77527237781098214511258399819504
absolute error = 2.6e-31
relative error = 3.3536600482803498364126932791421e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.457
y[1] (analytic) = 0.7757325240430290288314558127224
y[1] (numeric) = 0.77573252404302902883145581272218
absolute error = 2.2e-31
relative error = 2.8360290845275534982661326011018e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1819.6MB, alloc=4.4MB, time=72.14
x[1] = 0.458
y[1] (analytic) = 0.7761927512506373415552698150097
y[1] (numeric) = 0.77619275125063734155526981500952
absolute error = 1.8e-31
relative error = 2.3190116077478918578540760424499e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.459
y[1] (analytic) = 0.7766530594108350054243516317149
y[1] (numeric) = 0.77665305941083500542435163171471
absolute error = 1.9e-31
relative error = 2.4463947923430961239767917018413e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.46
y[1] (analytic) = 0.777113448500663678527851676856
y[1] (numeric) = 0.77711344850066367852785167685583
absolute error = 1.7e-31
relative error = 2.1875827825138302805724093013632e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1823.4MB, alloc=4.4MB, time=72.29
x[1] = 0.461
y[1] (analytic) = 0.7775739184971787413846065409292
y[1] (numeric) = 0.77757391849717874138460654092898
absolute error = 2.2e-31
relative error = 2.8293130050606014811840322540240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.462
y[1] (analytic) = 0.7780344693774492834428636181872
y[1] (numeric) = 0.77803446937744928344286361818708
absolute error = 1.2e-31
relative error = 1.5423481185354036131262495875759e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.463
y[1] (analytic) = 0.7784951011185580895988348572752
y[1] (numeric) = 0.77849510111855808959883485727503
absolute error = 1.7e-31
relative error = 2.1837003181618026161764745911647e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1827.3MB, alloc=4.4MB, time=72.44
x[1] = 0.464
y[1] (analytic) = 0.7789558136976016267340455961209
y[1] (numeric) = 0.77895581369760162673404559612067
absolute error = 2.3e-31
relative error = 2.9526706901155279309347302741766e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.465
y[1] (analytic) = 0.7794166070916900302714445174872
y[1] (numeric) = 0.779416607091690030271444517487
absolute error = 2.0e-31
relative error = 2.5660217934831883612640808243214e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.466
y[1] (analytic) = 0.7798774812779470907502408368985
y[1] (numeric) = 0.77987748127794709075024083689837
absolute error = 1.3e-31
relative error = 1.6669284999353405781366689639120e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1831.1MB, alloc=4.4MB, time=72.58
x[1] = 0.467
y[1] (analytic) = 0.7803384362335102404194349097634
y[1] (numeric) = 0.78033843623351024041943490976316
absolute error = 2.4e-31
relative error = 3.0755886017663989143426667476429e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.468
y[1] (analytic) = 0.7807994719355305398500085194283
y[1] (numeric) = 0.78079947193553053985000851942813
absolute error = 1.7e-31
relative error = 2.1772555708648923001093181146557e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.469
y[1] (analytic) = 0.7812605883611726645657411826159
y[1] (numeric) = 0.78126058836117266456574118261571
absolute error = 1.9e-31
relative error = 2.4319670393019236550548581164082e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1834.9MB, alloc=4.4MB, time=72.73
x[1] = 0.47
y[1] (analytic) = 0.7817217854876148916926188832159
y[1] (numeric) = 0.78172178548761489169261888321573
absolute error = 1.7e-31
relative error = 2.1746867383766084523295144608114e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.471
y[1] (analytic) = 0.7821830632920490866268017197283
y[1] (numeric) = 0.78218306329204908662680171972813
absolute error = 1.7e-31
relative error = 2.1734042576235881390981090900874e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.472
y[1] (analytic) = 0.7826444217516806897211170257833
y[1] (numeric) = 0.78264442175168068972111702578315
absolute error = 1.5e-31
relative error = 1.9165791747966021008456927641856e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1838.7MB, alloc=4.4MB, time=72.88
x[1] = 0.473
y[1] (analytic) = 0.7831058608437287029900445971021
y[1] (numeric) = 0.78310586084372870299004459710187
absolute error = 2.3e-31
relative error = 2.9370230961136586469474480723060e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.474
y[1] (analytic) = 0.7835673805454256768331607320024
y[1] (numeric) = 0.78356738054542567683316073200218
absolute error = 2.2e-31
relative error = 2.8076717518136394785113433505223e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.475
y[1] (analytic) = 0.7840289808340176967770078661052
y[1] (numeric) = 0.7840289808340176967770078661051
absolute error = 1.0e-31
relative error = 1.2754630561439721776491486992719e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1842.5MB, alloc=4.4MB, time=73.03
x[1] = 0.476
y[1] (analytic) = 0.7844906616867643702353566552535
y[1] (numeric) = 0.78449066168676437023535665525332
absolute error = 1.8e-31
relative error = 2.2944823793437500892491399055405e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.477
y[1] (analytic) = 0.7849524230809388132878274338197
y[1] (numeric) = 0.78495242308093881328782743381943
absolute error = 2.7e-31
relative error = 3.4396989175503122837625193793714e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.478
y[1] (analytic) = 0.7854142649938276374768380485555
y[1] (numeric) = 0.78541426499382763747683804855525
absolute error = 2.5e-31
relative error = 3.1830336058635844070629369563780e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1846.3MB, alloc=4.4MB, time=73.18
x[1] = 0.479
y[1] (analytic) = 0.7858761874027309366228451409176
y[1] (numeric) = 0.7858761874027309366228451409174
absolute error = 2.0e-31
relative error = 2.5449301455613107905996134792889e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.48
y[1] (analytic) = 0.7863381902849622736578460233979
y[1] (numeric) = 0.78633819028496227365784602339765
absolute error = 2.5e-31
relative error = 3.1792936307646729689567670501309e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.481
y[1] (analytic) = 0.7868002736178486674771083677907
y[1] (numeric) = 0.78680027361784866747710836779049
absolute error = 2.1e-31
relative error = 2.6690382177217906147512424975920e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.482
y[1] (analytic) = 0.7872624373787305798090949955457
y[1] (numeric) = 0.78726243737873057980909499554551
absolute error = 1.9e-31
relative error = 2.4134264633865182065012081672762e-29 %
Correct digits = 30
h = 0.001
memory used=1850.1MB, alloc=4.4MB, time=73.33
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.483
y[1] (analytic) = 0.7877246815449619021035511323791
y[1] (numeric) = 0.78772468154496190210355113237883
absolute error = 2.7e-31
relative error = 3.4275935022176766420166064730118e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.484
y[1] (analytic) = 0.788187006093909942437721561157
y[1] (numeric) = 0.7881870060939099424377215611568
absolute error = 2.0e-31
relative error = 2.5374688805282162232094516987544e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.485
y[1] (analytic) = 0.788649411002955412440665178717
y[1] (numeric) = 0.78864941100295541244066517871674
absolute error = 2.6e-31
relative error = 3.2967754286324530950345696398236e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1854.0MB, alloc=4.5MB, time=73.48
x[1] = 0.486
y[1] (analytic) = 0.789111896249492414235634533755
y[1] (numeric) = 0.78911189624949241423563453375477
absolute error = 2.3e-31
relative error = 2.9146690234065514438176462371899e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.487
y[1] (analytic) = 0.7895744618109284274004879941896
y[1] (numeric) = 0.78957446181092842740048799418947
absolute error = 1.3e-31
relative error = 1.6464564938161565292653796964795e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.488
y[1] (analytic) = 0.790037107664684295946102263504
y[1] (numeric) = 0.79003710766468429594610226350378
absolute error = 2.2e-31
relative error = 2.7846793253839751392480928967211e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1857.8MB, alloc=4.5MB, time=73.62
x[1] = 0.489
y[1] (analytic) = 0.790499833788194215312753036476
y[1] (numeric) = 0.79049983378819421531275303647572
absolute error = 2.8e-31
relative error = 3.5420627308445827910420404928182e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.49
y[1] (analytic) = 0.790962640158905719384431655433
y[1] (numeric) = 0.79096264015890571938443165543282
absolute error = 1.8e-31
relative error = 2.2757079899985882831841151561828e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.491
y[1] (analytic) = 0.7914255267542796675210656987053
y[1] (numeric) = 0.7914255267542796675210656987051
absolute error = 2.0e-31
relative error = 2.5270855341275292193709108838523e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1861.6MB, alloc=4.5MB, time=73.77
x[1] = 0.492
y[1] (analytic) = 0.7918884935517902316086115033084
y[1] (numeric) = 0.79188849355179023160861150330827
absolute error = 1.3e-31
relative error = 1.6416452702440723256131993185142e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.493
y[1] (analytic) = 0.7923515405289248831269866940633
y[1] (numeric) = 0.7923515405289248831269866940631
absolute error = 2.0e-31
relative error = 2.5241321530906896400169017104010e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.494
y[1] (analytic) = 0.7928146676631843802358108613487
y[1] (numeric) = 0.79281466766318438023581086134853
absolute error = 1.7e-31
relative error = 2.1442590170673027075837030015861e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1865.4MB, alloc=4.5MB, time=73.92
x[1] = 0.495
y[1] (analytic) = 0.7932778749320827548779225994966
y[1] (numeric) = 0.79327787493208275487792259949644
absolute error = 1.6e-31
relative error = 2.0169477185242126317936495104875e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.496
y[1] (analytic) = 0.7937411623131472999006411874652
y[1] (numeric) = 0.79374116231314729990064118746495
absolute error = 2.5e-31
relative error = 3.1496413676146208353953535687606e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.497
y[1] (analytic) = 0.7942045297839185561947412628758
y[1] (numeric) = 0.7942045297839185561947412628757
absolute error = 1.0e-31
relative error = 1.2591215014501022702043556477662e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1869.2MB, alloc=4.5MB, time=74.07
x[1] = 0.498
y[1] (analytic) = 0.7946679773219502998511089097692
y[1] (numeric) = 0.79466797732195029985110890976897
absolute error = 2.3e-31
relative error = 2.8942905284179864423045762314957e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.499
y[1] (analytic) = 0.7951315049048095293350476495195
y[1] (numeric) = 0.79513150490480952933504764951938
absolute error = 1.2e-31
relative error = 1.5091843205780909986656796037059e-29 %
Correct digits = 30
h = 0.001
NO POLE
Finished!
diff ( y , x , 1 ) = arctan(sqrt(0.1 * x + 0.2));
Iterations = 1500
Total Elapsed Time = 1 Minutes 14 Seconds
Elapsed Time(since restart) = 1 Minutes 14 Seconds
Time to Timeout = 1 Minutes 45 Seconds
Percent Done = 100.1 %
> quit
memory used=1871.2MB, alloc=4.5MB, time=74.14