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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_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_4,
> array_const_0D0,
> array_const_1D0,
> array_const_1,
> array_const_3,
> #END CONST
> array_y2_init,
> array_y1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y2,
> array_x,
> array_y1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_set_initial,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_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_y2[1]) < min_size) then # if number 1
> min_size := omniabs(array_y2[1]);
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> if (omniabs(array_y1[1]) < min_size) then # if number 1
> min_size := omniabs(array_y1[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_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_4,
array_const_0D0, array_const_1D0, array_const_1, array_const_3,
array_y2_init, array_y1_init, array_norms, array_fact_1, array_pole,
array_1st_rel_error, array_last_rel_error, array_type_pole, array_y2,
array_x, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_m1, array_y2_higher, array_y2_higher_work,
array_y2_higher_work2, array_y2_set_initial, array_y1_higher,
array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial,
array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last;
min_size := glob_large_float;
if omniabs(array_y2[1]) < min_size then
min_size := omniabs(array_y2[1]);
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
if omniabs(array_y1[1]) < min_size then
min_size := omniabs(array_y1[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_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_4,
> array_const_0D0,
> array_const_1D0,
> array_const_1,
> array_const_3,
> #END CONST
> array_y2_init,
> array_y1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y2,
> array_x,
> array_y1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_set_initial,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_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_y2[no_terms-3] + array_y2[no_terms - 2] * hn_div_ho + array_y2[no_terms - 1] * hn_div_ho_2 + array_y2[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;
> value3 := omniabs(array_y1[no_terms-3] + array_y1[no_terms - 2] * hn_div_ho + array_y1[no_terms - 1] * hn_div_ho_2 + array_y1[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_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_4,
array_const_0D0, array_const_1D0, array_const_1, array_const_3,
array_y2_init, array_y1_init, array_norms, array_fact_1, array_pole,
array_1st_rel_error, array_last_rel_error, array_type_pole, array_y2,
array_x, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_m1, array_y2_higher, array_y2_higher_work,
array_y2_higher_work2, array_y2_set_initial, array_y1_higher,
array_y1_higher_work, array_y1_higher_work2, array_y1_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_y2[no_terms - 3]
+ array_y2[no_terms - 2]*hn_div_ho
+ array_y2[no_terms - 1]*hn_div_ho_2
+ array_y2[no_terms]*hn_div_ho_3);
if max_value3 < value3 then
max_value3 := value3;
omniout_float(ALWAYS, "value3", 32, value3, 32, "")
end if;
value3 := omniabs(array_y1[no_terms - 3]
+ array_y1[no_terms - 2]*hn_div_ho
+ array_y1[no_terms - 1]*hn_div_ho_2
+ array_y1[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_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_4,
> array_const_0D0,
> array_const_1D0,
> array_const_1,
> array_const_3,
> #END CONST
> array_y2_init,
> array_y1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y2,
> array_x,
> array_y1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_set_initial,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_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_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_4,
array_const_0D0, array_const_1D0, array_const_1, array_const_3,
array_y2_init, array_y1_init, array_norms, array_fact_1, array_pole,
array_1st_rel_error, array_last_rel_error, array_type_pole, array_y2,
array_x, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_m1, array_y2_higher, array_y2_higher_work,
array_y2_higher_work2, array_y2_set_initial, array_y1_higher,
array_y1_higher_work, array_y1_higher_work2, array_y1_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_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_4,
> array_const_0D0,
> array_const_1D0,
> array_const_1,
> array_const_3,
> #END CONST
> array_y2_init,
> array_y1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y2,
> array_x,
> array_y1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_set_initial,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_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_y2(ind_var);
> omniout_float(ALWAYS,"y2[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y2[term_no];
> abserr := omniabs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y2[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," ");
> ;
> analytic_val_y := exact_soln_y1(ind_var);
> omniout_float(ALWAYS,"y1[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y1[term_no];
> abserr := omniabs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y1[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[2] := relerr;
> else
> array_last_rel_error[2] := 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_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_4,
array_const_0D0, array_const_1D0, array_const_1, array_const_3,
array_y2_init, array_y1_init, array_norms, array_fact_1, array_pole,
array_1st_rel_error, array_last_rel_error, array_type_pole, array_y2,
array_x, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_m1, array_y2_higher, array_y2_higher_work,
array_y2_higher_work2, array_y2_set_initial, array_y1_higher,
array_y1_higher_work, array_y1_higher_work2, array_y1_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_y2(ind_var);
omniout_float(ALWAYS, "y2[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y2[term_no];
abserr := omniabs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y2[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, " ");
analytic_val_y := exact_soln_y1(ind_var);
omniout_float(ALWAYS, "y1[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y1[term_no];
abserr := omniabs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y1[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[2] := relerr
else array_last_rel_error[2] := 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_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_4,
> array_const_0D0,
> array_const_1D0,
> array_const_1,
> array_const_3,
> #END CONST
> array_y2_init,
> array_y1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y2,
> array_x,
> array_y1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_set_initial,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_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_y2_higher[1,1]) > glob_small_float) then # if number 1
> tmp := omniabs(array_y2_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1;
> if (omniabs(array_y1_higher[1,1]) > glob_small_float) then # if number 1
> tmp := omniabs(array_y1_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_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_4,
array_const_0D0, array_const_1D0, array_const_1, array_const_3,
array_y2_init, array_y1_init, array_norms, array_fact_1, array_pole,
array_1st_rel_error, array_last_rel_error, array_type_pole, array_y2,
array_x, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_m1, array_y2_higher, array_y2_higher_work,
array_y2_higher_work2, array_y2_set_initial, array_y1_higher,
array_y1_higher_work, array_y1_higher_work2, array_y1_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_y2_higher[1, 1]) then
tmp := omniabs(array_y2_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_small_float < omniabs(array_y1_higher[1, 1]) then
tmp := omniabs(array_y1_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_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_4,
> array_const_0D0,
> array_const_1D0,
> array_const_1,
> array_const_3,
> #END CONST
> array_y2_init,
> array_y1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y2,
> array_x,
> array_y1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_set_initial,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_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_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_4,
array_const_0D0, array_const_1D0, array_const_1, array_const_3,
array_y2_init, array_y1_init, array_norms, array_fact_1, array_pole,
array_1st_rel_error, array_last_rel_error, array_type_pole, array_y2,
array_x, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_m1, array_y2_higher, array_y2_higher_work,
array_y2_higher_work2, array_y2_set_initial, array_y1_higher,
array_y1_higher_work, array_y1_higher_work2, array_y1_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_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_4,
> array_const_0D0,
> array_const_1D0,
> array_const_1,
> array_const_3,
> #END CONST
> array_y2_init,
> array_y1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y2,
> array_x,
> array_y1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_set_initial,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local cnt, dr1, dr2, ds1, ds2, hdrc,hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, 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 - 4 - 1;
> while ((m >= 10) and ((omniabs(array_y2_higher[1,m]) < glob_small_float * glob_small_float) or (omniabs(array_y2_higher[1,m-1]) < glob_small_float * glob_small_float) or (omniabs(array_y2_higher[1,m-2]) < glob_small_float * glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2;
> if (m > 10) then # if number 1
> rm0 := array_y2_higher[1,m]/array_y2_higher[1,m-1];
> rm1 := array_y2_higher[1,m-1]/array_y2_higher[1,m-2];
> hdrc := convfloat(m)*rm0-convfloat(m-1)*rm1;
> if (omniabs(hdrc) > glob_small_float * glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc;
> 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
> #IN RADII REAL EQ = 2
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 2
> #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_y1_higher[1,m]) < glob_small_float * glob_small_float) or (omniabs(array_y1_higher[1,m-1]) < glob_small_float * glob_small_float) or (omniabs(array_y1_higher[1,m-2]) < glob_small_float * glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2;
> if (m > 10) then # if number 1
> rm0 := array_y1_higher[1,m]/array_y1_higher[1,m-1];
> rm1 := array_y1_higher[1,m-1]/array_y1_higher[1,m-2];
> hdrc := convfloat(m)*rm0-convfloat(m-1)*rm1;
> if (omniabs(hdrc) > glob_small_float * glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc;
> array_real_pole[2,1] := rcs;
> array_real_pole[2,2] := ord_no;
> else
> array_real_pole[2,1] := glob_large_float;
> array_real_pole[2,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[2,1] := glob_large_float;
> array_real_pole[2,2] := glob_large_float;
> fi;# end if 1;
> #BOTTOM RADII REAL EQ = 2
> #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 - 4 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (omniabs(array_y2_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_y2_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y2_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y2_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y2_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y2_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y2_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_y2_higher[1,m]) <= (glob_small_float)) or (omniabs(array_y2_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_y2_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_y2_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_y2_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_y2_higher[1,m-5]) <= (glob_small_float)))) then # if number 2
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> rm0 := (array_y2_higher[1,m])/(array_y2_higher[1,m-1]);
> rm1 := (array_y2_higher[1,m-1])/(array_y2_higher[1,m-2]);
> rm2 := (array_y2_higher[1,m-2])/(array_y2_higher[1,m-3]);
> rm3 := (array_y2_higher[1,m-3])/(array_y2_higher[1,m-4]);
> rm4 := (array_y2_higher[1,m-4])/(array_y2_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
> #TOP RADII COMPLEX EQ = 2
> #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_y1_higher[1,n]) > glob_small_float) then # if number 2
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 2;
> n := n - 1;
> od;# end do number 2;
> m := n + cnt;
> if (m <= 10) then # if number 2
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> elif
> (((omniabs(array_y1_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y1_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y1_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y1_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y1_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y1_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_y1_higher[1,m]) <= (glob_small_float)) or (omniabs(array_y1_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_y1_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_y1_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_y1_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_y1_higher[1,m-5]) <= (glob_small_float)))) then # if number 3
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> rm0 := (array_y1_higher[1,m])/(array_y1_higher[1,m-1]);
> rm1 := (array_y1_higher[1,m-1])/(array_y1_higher[1,m-2]);
> rm2 := (array_y1_higher[1,m-2])/(array_y1_higher[1,m-3]);
> rm3 := (array_y1_higher[1,m-3])/(array_y1_higher[1,m-4]);
> rm4 := (array_y1_higher[1,m-4])/(array_y1_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 4
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 5
> 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 6
> if (rcs > 0.0) then # if number 7
> rad_c := sqrt(rcs) * omniabs(glob_h);
> else
> rad_c := glob_large_float;
> fi;# end if 7
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> fi;# end if 4;
> array_complex_pole[2,1] := rad_c;
> array_complex_pole[2,2] := ord_no;
> fi;# end if 3;
> #BOTTOM RADII COMPLEX EQ = 2
> found_sing := 0;
> #TOP WHICH RADII EQ = 1
> if (1 <> found_sing 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 3
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 2;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 1");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (1 <> found_sing 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] > -1.0 * glob_smallish_float) 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 3
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Real estimate of pole used for equation 1");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (1 <> found_sing 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 3
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> found_sing := 1;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"NO POLE for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> if (1 <> found_sing 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] > -1.0 * glob_smallish_float))) then # if number 3
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Real estimate of pole used for equation 1");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (1 <> found_sing 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 3
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> array_type_pole[1] := 2;
> found_sing := 1;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 1");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (1 <> found_sing ) then # if number 3
> 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 4
> omniout_str(ALWAYS,"NO POLE for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> #BOTTOM WHICH RADII EQ = 1
> #TOP WHICH RADII EQ = 2
> if (2 <> found_sing and ((array_real_pole[2,1] = glob_large_float) or (array_real_pole[2,2] = glob_large_float)) and ((array_complex_pole[2,1] <> glob_large_float) and (array_complex_pole[2,2] <> glob_large_float)) and ((array_complex_pole[2,1] > 0.0) and (array_complex_pole[2,2] > 0.0))) then # if number 3
> array_poles[2,1] := array_complex_pole[2,1];
> array_poles[2,2] := array_complex_pole[2,2];
> found_sing := 2;
> array_type_pole[2] := 2;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 2");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (2 <> found_sing and ((array_real_pole[2,1] <> glob_large_float) and (array_real_pole[2,2] <> glob_large_float) and (array_real_pole[2,1] > 0.0) and (array_real_pole[2,2] > -1.0 * glob_smallish_float) and ((array_complex_pole[2,1] = glob_large_float) or (array_complex_pole[2,2] = glob_large_float) or (array_complex_pole[2,1] <= 0.0 ) or (array_complex_pole[2,2] <= 0.0)))) then # if number 3
> array_poles[2,1] := array_real_pole[2,1];
> array_poles[2,2] := array_real_pole[2,2];
> found_sing := 2;
> array_type_pole[2] := 1;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Real estimate of pole used for equation 2");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (2 <> found_sing and (((array_real_pole[2,1] = glob_large_float) or (array_real_pole[2,2] = glob_large_float)) and ((array_complex_pole[2,1] = glob_large_float) or (array_complex_pole[2,2] = glob_large_float)))) then # if number 3
> array_poles[2,1] := glob_large_float;
> array_poles[2,2] := glob_large_float;
> found_sing := 2;
> array_type_pole[2] := 3;
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"NO POLE for equation 2");
> fi;# end if 4;
> fi;# end if 3;
> if (2 <> found_sing and ((array_real_pole[2,1] < array_complex_pole[2,1]) and (array_real_pole[2,1] > 0.0) and (array_real_pole[2,2] > -1.0 * glob_smallish_float))) then # if number 3
> array_poles[2,1] := array_real_pole[2,1];
> array_poles[2,2] := array_real_pole[2,2];
> found_sing := 2;
> array_type_pole[2] := 1;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Real estimate of pole used for equation 2");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (2 <> found_sing and ((array_complex_pole[2,1] <> glob_large_float) and (array_complex_pole[2,2] <> glob_large_float) and (array_complex_pole[2,1] > 0.0) and (array_complex_pole[2,2] > 0.0))) then # if number 3
> array_poles[2,1] := array_complex_pole[2,1];
> array_poles[2,2] := array_complex_pole[2,2];
> array_type_pole[2] := 2;
> found_sing := 2;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 2");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (2 <> found_sing ) then # if number 3
> array_poles[2,1] := glob_large_float;
> array_poles[2,2] := glob_large_float;
> array_type_pole[2] := 3;
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"NO POLE for equation 2");
> fi;# end if 4;
> fi;# end if 3;
> #BOTTOM WHICH RADII EQ = 2
> 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 3
> array_pole[1] := array_poles[1,1];
> array_pole[2] := array_poles[1,2];
> fi;# end if 3;
> #BOTTOM WHICH RADIUS EQ = 1
> #TOP WHICH RADIUS EQ = 2
> if (array_pole[1] > array_poles[2,1]) then # if number 3
> array_pole[1] := array_poles[2,1];
> array_pole[2] := array_poles[2,2];
> fi;# end if 3;
> #BOTTOM WHICH RADIUS EQ = 2
> #START ADJUST ALL SERIES
> if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 3
> h_new := array_pole[1] * glob_ratio_of_radius;
> term := 1;
> ratio := 1.0;
> while (term <= glob_max_terms) do # do number 2
> array_y2[term] := array_y2[term]* ratio;
> array_y2_higher[1,term] := array_y2_higher[1,term]* ratio;
> array_x[term] := array_x[term]* ratio;
> array_y1[term] := array_y1[term]* ratio;
> array_y1_higher[1,term] := array_y1_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 3;
> #BOTTOM ADJUST ALL SERIES
> if (reached_interval()) then # if number 3
> display_pole();
> fi;# end if 3
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, hdrc_BBB, m, n, nr1, nr2, ord_no,
rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, 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_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_4,
array_const_0D0, array_const_1D0, array_const_1, array_const_3,
array_y2_init, array_y1_init, array_norms, array_fact_1, array_pole,
array_1st_rel_error, array_last_rel_error, array_type_pole, array_y2,
array_x, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_m1, array_y2_higher, array_y2_higher_work,
array_y2_higher_work2, array_y2_set_initial, array_y1_higher,
array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial,
array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last;
n := glob_max_terms;
m := n - 5;
while 10 <= m and (
omniabs(array_y2_higher[1, m]) < glob_small_float*glob_small_float or
omniabs(array_y2_higher[1, m - 1]) < glob_small_float*glob_small_float
or
omniabs(array_y2_higher[1, m - 2]) < glob_small_float*glob_small_float)
do m := m - 1
end do;
if 10 < m then
rm0 := array_y2_higher[1, m]/array_y2_higher[1, m - 1];
rm1 := array_y2_higher[1, m - 1]/array_y2_higher[1, m - 2];
hdrc := convfloat(m)*rm0 - convfloat(m - 1)*rm1;
if glob_small_float*glob_small_float < omniabs(hdrc) then
rcs := glob_h/hdrc;
ord_no := (
rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc
;
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;
m := n - 2;
while 10 <= m and (
omniabs(array_y1_higher[1, m]) < glob_small_float*glob_small_float or
omniabs(array_y1_higher[1, m - 1]) < glob_small_float*glob_small_float
or
omniabs(array_y1_higher[1, m - 2]) < glob_small_float*glob_small_float)
do m := m - 1
end do;
if 10 < m then
rm0 := array_y1_higher[1, m]/array_y1_higher[1, m - 1];
rm1 := array_y1_higher[1, m - 1]/array_y1_higher[1, m - 2];
hdrc := convfloat(m)*rm0 - convfloat(m - 1)*rm1;
if glob_small_float*glob_small_float < omniabs(hdrc) then
rcs := glob_h/hdrc;
ord_no := (
rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc
;
array_real_pole[2, 1] := rcs;
array_real_pole[2, 2] := ord_no
else
array_real_pole[2, 1] := glob_large_float;
array_real_pole[2, 2] := glob_large_float
end if
else
array_real_pole[2, 1] := glob_large_float;
array_real_pole[2, 2] := glob_large_float
end if;
n := glob_max_terms - 5;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < omniabs(array_y2_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_y2_higher[1, m]) or
glob_large_float <= omniabs(array_y2_higher[1, m - 1]) or
glob_large_float <= omniabs(array_y2_higher[1, m - 2]) or
glob_large_float <= omniabs(array_y2_higher[1, m - 3]) or
glob_large_float <= omniabs(array_y2_higher[1, m - 4]) or
glob_large_float <= omniabs(array_y2_higher[1, m - 5]) or
omniabs(array_y2_higher[1, m]) <= glob_small_float or
omniabs(array_y2_higher[1, m - 1]) <= glob_small_float or
omniabs(array_y2_higher[1, m - 2]) <= glob_small_float or
omniabs(array_y2_higher[1, m - 3]) <= glob_small_float or
omniabs(array_y2_higher[1, m - 4]) <= glob_small_float or
omniabs(array_y2_higher[1, m - 5]) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
rm0 := array_y2_higher[1, m]/array_y2_higher[1, m - 1];
rm1 := array_y2_higher[1, m - 1]/array_y2_higher[1, m - 2];
rm2 := array_y2_higher[1, m - 2]/array_y2_higher[1, m - 3];
rm3 := array_y2_higher[1, m - 3]/array_y2_higher[1, m - 4];
rm4 := array_y2_higher[1, m - 4]/array_y2_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;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < omniabs(array_y1_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_y1_higher[1, m]) or
glob_large_float <= omniabs(array_y1_higher[1, m - 1]) or
glob_large_float <= omniabs(array_y1_higher[1, m - 2]) or
glob_large_float <= omniabs(array_y1_higher[1, m - 3]) or
glob_large_float <= omniabs(array_y1_higher[1, m - 4]) or
glob_large_float <= omniabs(array_y1_higher[1, m - 5]) or
omniabs(array_y1_higher[1, m]) <= glob_small_float or
omniabs(array_y1_higher[1, m - 1]) <= glob_small_float or
omniabs(array_y1_higher[1, m - 2]) <= glob_small_float or
omniabs(array_y1_higher[1, m - 3]) <= glob_small_float or
omniabs(array_y1_higher[1, m - 4]) <= glob_small_float or
omniabs(array_y1_higher[1, m - 5]) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
rm0 := array_y1_higher[1, m]/array_y1_higher[1, m - 1];
rm1 := array_y1_higher[1, m - 1]/array_y1_higher[1, m - 2];
rm2 := array_y1_higher[1, m - 2]/array_y1_higher[1, m - 3];
rm3 := array_y1_higher[1, m - 3]/array_y1_higher[1, m - 4];
rm4 := array_y1_higher[1, m - 4]/array_y1_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[2, 1] := rad_c;
array_complex_pole[2, 2] := ord_no
end if;
found_sing := 0;
if 1 <> found_sing 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_sing := 1;
array_type_pole[1] := 2;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 1")
end if
end if
end if;
if 1 <> found_sing 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
-1.0*glob_smallish_float < 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_sing := 1;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 1")
end if
end if
end if;
if 1 <> found_sing 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_sing := 1;
array_type_pole[1] := 3;
if reached_interval() then
omniout_str(ALWAYS, "NO POLE for equation 1")
end if
end if;
if 1 <> found_sing and array_real_pole[1, 1] < array_complex_pole[1, 1]
and 0. < array_real_pole[1, 1] and
-1.0*glob_smallish_float < 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_sing := 1;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 1")
end if
end if
end if;
if 1 <> found_sing 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_sing := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 1")
end if
end if
end if;
if 1 <> found_sing 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 for equation 1")
end if
end if;
if 2 <> found_sing and (array_real_pole[2, 1] = glob_large_float or
array_real_pole[2, 2] = glob_large_float) and
array_complex_pole[2, 1] <> glob_large_float and
array_complex_pole[2, 2] <> glob_large_float and
0. < array_complex_pole[2, 1] and 0. < array_complex_pole[2, 2] then
array_poles[2, 1] := array_complex_pole[2, 1];
array_poles[2, 2] := array_complex_pole[2, 2];
found_sing := 2;
array_type_pole[2] := 2;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 2")
end if
end if
end if;
if 2 <> found_sing and array_real_pole[2, 1] <> glob_large_float and
array_real_pole[2, 2] <> glob_large_float and
0. < array_real_pole[2, 1] and
-1.0*glob_smallish_float < array_real_pole[2, 2] and (
array_complex_pole[2, 1] = glob_large_float or
array_complex_pole[2, 2] = glob_large_float or
array_complex_pole[2, 1] <= 0. or array_complex_pole[2, 2] <= 0.) then
array_poles[2, 1] := array_real_pole[2, 1];
array_poles[2, 2] := array_real_pole[2, 2];
found_sing := 2;
array_type_pole[2] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 2")
end if
end if
end if;
if 2 <> found_sing and (array_real_pole[2, 1] = glob_large_float or
array_real_pole[2, 2] = glob_large_float) and (
array_complex_pole[2, 1] = glob_large_float or
array_complex_pole[2, 2] = glob_large_float) then
array_poles[2, 1] := glob_large_float;
array_poles[2, 2] := glob_large_float;
found_sing := 2;
array_type_pole[2] := 3;
if reached_interval() then
omniout_str(ALWAYS, "NO POLE for equation 2")
end if
end if;
if 2 <> found_sing and array_real_pole[2, 1] < array_complex_pole[2, 1]
and 0. < array_real_pole[2, 1] and
-1.0*glob_smallish_float < array_real_pole[2, 2] then
array_poles[2, 1] := array_real_pole[2, 1];
array_poles[2, 2] := array_real_pole[2, 2];
found_sing := 2;
array_type_pole[2] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 2")
end if
end if
end if;
if 2 <> found_sing and array_complex_pole[2, 1] <> glob_large_float
and array_complex_pole[2, 2] <> glob_large_float and
0. < array_complex_pole[2, 1] and 0. < array_complex_pole[2, 2] then
array_poles[2, 1] := array_complex_pole[2, 1];
array_poles[2, 2] := array_complex_pole[2, 2];
array_type_pole[2] := 2;
found_sing := 2;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 2")
end if
end if
end if;
if 2 <> found_sing then
array_poles[2, 1] := glob_large_float;
array_poles[2, 2] := glob_large_float;
array_type_pole[2] := 3;
if reached_interval() then
omniout_str(ALWAYS, "NO POLE for equation 2")
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_poles[2, 1] < array_pole[1] then
array_pole[1] := array_poles[2, 1];
array_pole[2] := array_poles[2, 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_y2[term] := array_y2[term]*ratio;
array_y2_higher[1, term] := array_y2_higher[1, term]*ratio;
array_x[term] := array_x[term]*ratio;
array_y1[term] := array_y1[term]*ratio;
array_y1_higher[1, term] := array_y1_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_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_4,
> array_const_0D0,
> array_const_1D0,
> array_const_1,
> array_const_3,
> #END CONST
> array_y2_init,
> array_y1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y2,
> array_x,
> array_y1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_set_initial,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_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 3
> 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_y2[iii]) > array_norms[iii]) then # if number 4
> array_norms[iii] := omniabs(array_y2[iii]);
> fi;# end if 4;
> iii := iii + 1;
> od;# end do number 2
> ;
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (omniabs(array_y1[iii]) > array_norms[iii]) then # if number 4
> array_norms[iii] := omniabs(array_y1[iii]);
> fi;# end if 4;
> iii := iii + 1;
> od;# end do number 2
> #BOTTOM GET NORMS
> ;
> fi;# end if 3;
> 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_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_4,
array_const_0D0, array_const_1D0, array_const_1, array_const_3,
array_y2_init, array_y1_init, array_norms, array_fact_1, array_pole,
array_1st_rel_error, array_last_rel_error, array_type_pole, array_y2,
array_x, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_m1, array_y2_higher, array_y2_higher_work,
array_y2_higher_work2, array_y2_set_initial, array_y1_higher,
array_y1_higher_work, array_y1_higher_work2, array_y1_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_y2[iii]) then
array_norms[iii] := omniabs(array_y2[iii])
end if;
iii := iii + 1
end do;
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < omniabs(array_y1[iii]) then
array_norms[iii] := omniabs(array_y1[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_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_4,
> array_const_0D0,
> array_const_1D0,
> array_const_1,
> array_const_3,
> #END CONST
> array_y2_init,
> array_y1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y2,
> array_x,
> array_y1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_set_initial,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_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 add CONST FULL $eq_no = 1 i = 1
> array_tmp1[1] := array_const_0D0[1] + array_y1[1];
> #emit pre sub FULL - CONST $eq_no = 1 i = 1
> array_tmp2[1] := array_tmp1[1] - array_const_1D0[1];
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if ( not array_y2_set_initial[1,5]) then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp2[1] * expt(glob_h , (4)) * factorial_3(0,4);
> array_y2[5] := temporary;
> array_y2_higher[1,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y2_higher[2,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y2_higher[3,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y2_higher[4,2] := temporary;
> temporary := temporary / glob_h * (1.0);
> array_y2_higher[5,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #emit pre diff $eq_no = 2 i = 1 order_d = 3
> array_tmp4[1] := array_y2_higher[4,1];
> # emit pre mult FULL FULL $eq_no = 2 i = 1
> array_tmp5[1] := (array_m1[1] * (array_tmp4[1]));
> #emit pre assign xxx $eq_no = 2 i = 1 $min_hdrs = 5
> if ( not array_y1_set_initial[2,2]) 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_y1[2] := temporary;
> array_y1_higher[1,2] := temporary;
> temporary := temporary / glob_h * (1.0);
> array_y1_higher[2,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp1[2] := array_y1[2];
> #emit pre sub FULL CONST $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2];
> #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if ( not array_y2_set_initial[1,6]) then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp2[2] * expt(glob_h , (4)) * factorial_3(1,5);
> array_y2[6] := temporary;
> array_y2_higher[1,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y2_higher[2,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y2_higher[3,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y2_higher[4,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y2_higher[5,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #emit pre diff $eq_no = 2 i = 2 order_d = 3
> array_tmp4[2] := array_y2_higher[4,2];
> # emit pre mult FULL FULL $eq_no = 2 i = 2
> array_tmp5[2] := ats(2,array_m1,array_tmp4,1);
> #emit pre assign xxx $eq_no = 2 i = 2 $min_hdrs = 5
> if ( not array_y1_set_initial[2,3]) 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_y1[3] := temporary;
> array_y1_higher[1,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y1_higher[2,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp1[3] := array_y1[3];
> #emit pre sub FULL CONST $eq_no = 1 i = 3
> array_tmp2[3] := array_tmp1[3];
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if ( not array_y2_set_initial[1,7]) then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp2[3] * expt(glob_h , (4)) * factorial_3(2,6);
> array_y2[7] := temporary;
> array_y2_higher[1,7] := temporary;
> temporary := temporary / glob_h * (6.0);
> array_y2_higher[2,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y2_higher[3,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y2_higher[4,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y2_higher[5,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> #emit pre diff $eq_no = 2 i = 3 order_d = 3
> array_tmp4[3] := array_y2_higher[4,3];
> # emit pre mult FULL FULL $eq_no = 2 i = 3
> array_tmp5[3] := ats(3,array_m1,array_tmp4,1);
> #emit pre assign xxx $eq_no = 2 i = 3 $min_hdrs = 5
> if ( not array_y1_set_initial[2,4]) 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_y1[4] := temporary;
> array_y1_higher[1,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y1_higher[2,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp1[4] := array_y1[4];
> #emit pre sub FULL CONST $eq_no = 1 i = 4
> array_tmp2[4] := array_tmp1[4];
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if ( not array_y2_set_initial[1,8]) then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp2[4] * expt(glob_h , (4)) * factorial_3(3,7);
> array_y2[8] := temporary;
> array_y2_higher[1,8] := temporary;
> temporary := temporary / glob_h * (7.0);
> array_y2_higher[2,7] := temporary;
> temporary := temporary / glob_h * (6.0);
> array_y2_higher[3,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y2_higher[4,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y2_higher[5,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #emit pre diff $eq_no = 2 i = 4 order_d = 3
> array_tmp4[4] := array_y2_higher[4,4];
> # emit pre mult FULL FULL $eq_no = 2 i = 4
> array_tmp5[4] := ats(4,array_m1,array_tmp4,1);
> #emit pre assign xxx $eq_no = 2 i = 4 $min_hdrs = 5
> if ( not array_y1_set_initial[2,5]) 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_y1[5] := temporary;
> array_y1_higher[1,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y1_higher[2,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp1[5] := array_y1[5];
> #emit pre sub FULL CONST $eq_no = 1 i = 5
> array_tmp2[5] := array_tmp1[5];
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if ( not array_y2_set_initial[1,9]) then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp2[5] * expt(glob_h , (4)) * factorial_3(4,8);
> array_y2[9] := temporary;
> array_y2_higher[1,9] := temporary;
> temporary := temporary / glob_h * (8.0);
> array_y2_higher[2,8] := temporary;
> temporary := temporary / glob_h * (7.0);
> array_y2_higher[3,7] := temporary;
> temporary := temporary / glob_h * (6.0);
> array_y2_higher[4,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y2_higher[5,5] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 6;
> #emit pre diff $eq_no = 2 i = 5 order_d = 3
> array_tmp4[5] := array_y2_higher[4,5];
> # emit pre mult FULL FULL $eq_no = 2 i = 5
> array_tmp5[5] := ats(5,array_m1,array_tmp4,1);
> #emit pre assign xxx $eq_no = 2 i = 5 $min_hdrs = 5
> if ( not array_y1_set_initial[2,6]) 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_y1[6] := temporary;
> array_y1_higher[1,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y1_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 NOT FULL - FULL add $eq_no = 1
> array_tmp1[kkk] := array_y1[kkk];
> #emit FULL - NOT FULL sub $eq_no = 1
> array_tmp2[kkk] := array_tmp1[kkk];
> #emit assign $eq_no = 1
> order_d := 4;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if ( not array_y2_set_initial[1,kkk + order_d]) then # if number 2
> temporary := array_tmp2[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1));
> array_y2[kkk + order_d] := temporary;
> array_y2_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_y2_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;
> #emit diff $eq_no = 2
> array_tmp4[kkk] := array_y2_higher[4,kkk];
> #emit mult FULL FULL $eq_no = 2
> array_tmp5[kkk] := ats(kkk,array_m1,array_tmp4,1);
> #emit assign $eq_no = 2
> order_d := 1;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if ( not array_y1_set_initial[2,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_y1[kkk + order_d] := temporary;
> array_y1_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_y1_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_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_4,
array_const_0D0, array_const_1D0, array_const_1, array_const_3,
array_y2_init, array_y1_init, array_norms, array_fact_1, array_pole,
array_1st_rel_error, array_last_rel_error, array_type_pole, array_y2,
array_x, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_m1, array_y2_higher, array_y2_higher_work,
array_y2_higher_work2, array_y2_set_initial, array_y1_higher,
array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial,
array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last;
array_tmp1[1] := array_const_0D0[1] + array_y1[1];
array_tmp2[1] := array_tmp1[1] - array_const_1D0[1];
if not array_y2_set_initial[1, 5] then
if 1 <= glob_max_terms then
temporary := array_tmp2[1]*expt(glob_h, 4)*factorial_3(0, 4);
array_y2[5] := temporary;
array_y2_higher[1, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y2_higher[2, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y2_higher[3, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y2_higher[4, 2] := temporary;
temporary := temporary*1.0/glob_h;
array_y2_higher[5, 1] := temporary
end if
end if;
kkk := 2;
array_tmp4[1] := array_y2_higher[4, 1];
array_tmp5[1] := array_m1[1]*array_tmp4[1];
if not array_y1_set_initial[2, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp5[1]*expt(glob_h, 1)*factorial_3(0, 1);
array_y1[2] := temporary;
array_y1_higher[1, 2] := temporary;
temporary := temporary*1.0/glob_h;
array_y1_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := array_y1[2];
array_tmp2[2] := array_tmp1[2];
if not array_y2_set_initial[1, 6] then
if 2 <= glob_max_terms then
temporary := array_tmp2[2]*expt(glob_h, 4)*factorial_3(1, 5);
array_y2[6] := temporary;
array_y2_higher[1, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y2_higher[2, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y2_higher[3, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y2_higher[4, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y2_higher[5, 2] := temporary
end if
end if;
kkk := 3;
array_tmp4[2] := array_y2_higher[4, 2];
array_tmp5[2] := ats(2, array_m1, array_tmp4, 1);
if not array_y1_set_initial[2, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp5[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_y1[3] := temporary;
array_y1_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y1_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp1[3] := array_y1[3];
array_tmp2[3] := array_tmp1[3];
if not array_y2_set_initial[1, 7] then
if 3 <= glob_max_terms then
temporary := array_tmp2[3]*expt(glob_h, 4)*factorial_3(2, 6);
array_y2[7] := temporary;
array_y2_higher[1, 7] := temporary;
temporary := temporary*6.0/glob_h;
array_y2_higher[2, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y2_higher[3, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y2_higher[4, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y2_higher[5, 3] := temporary
end if
end if;
kkk := 4;
array_tmp4[3] := array_y2_higher[4, 3];
array_tmp5[3] := ats(3, array_m1, array_tmp4, 1);
if not array_y1_set_initial[2, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp5[3]*expt(glob_h, 1)*factorial_3(2, 3);
array_y1[4] := temporary;
array_y1_higher[1, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y1_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp1[4] := array_y1[4];
array_tmp2[4] := array_tmp1[4];
if not array_y2_set_initial[1, 8] then
if 4 <= glob_max_terms then
temporary := array_tmp2[4]*expt(glob_h, 4)*factorial_3(3, 7);
array_y2[8] := temporary;
array_y2_higher[1, 8] := temporary;
temporary := temporary*7.0/glob_h;
array_y2_higher[2, 7] := temporary;
temporary := temporary*6.0/glob_h;
array_y2_higher[3, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y2_higher[4, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y2_higher[5, 4] := temporary
end if
end if;
kkk := 5;
array_tmp4[4] := array_y2_higher[4, 4];
array_tmp5[4] := ats(4, array_m1, array_tmp4, 1);
if not array_y1_set_initial[2, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp5[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_y1[5] := temporary;
array_y1_higher[1, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y1_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp1[5] := array_y1[5];
array_tmp2[5] := array_tmp1[5];
if not array_y2_set_initial[1, 9] then
if 5 <= glob_max_terms then
temporary := array_tmp2[5]*expt(glob_h, 4)*factorial_3(4, 8);
array_y2[9] := temporary;
array_y2_higher[1, 9] := temporary;
temporary := temporary*8.0/glob_h;
array_y2_higher[2, 8] := temporary;
temporary := temporary*7.0/glob_h;
array_y2_higher[3, 7] := temporary;
temporary := temporary*6.0/glob_h;
array_y2_higher[4, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y2_higher[5, 5] := temporary
end if
end if;
kkk := 6;
array_tmp4[5] := array_y2_higher[4, 5];
array_tmp5[5] := ats(5, array_m1, array_tmp4, 1);
if not array_y1_set_initial[2, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp5[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_y1[6] := temporary;
array_y1_higher[1, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y1_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp1[kkk] := array_y1[kkk];
array_tmp2[kkk] := array_tmp1[kkk];
order_d := 4;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y2_set_initial[1, kkk + order_d] then
temporary := array_tmp2[kkk]*expt(glob_h, order_d)*
factorial_3(kkk - 1, kkk + order_d - 1);
array_y2[kkk + order_d] := temporary;
array_y2_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_y2_higher[adj3, term] := temporary
end if;
term := term - 1;
adj2 := adj2 - 1;
adj3 := adj3 + 1
end do
end if
end if;
array_tmp4[kkk] := array_y2_higher[4, kkk];
array_tmp5[kkk] := ats(kkk, array_m1, array_tmp4, 1);
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y1_set_initial[2, kkk + order_d] then
temporary := array_tmp5[kkk]*expt(glob_h, order_d)*
factorial_3(kkk - 1, kkk + order_d - 1);
array_y1[kkk + order_d] := temporary;
array_y1_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_y1_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_debug := proc(typ,radius,order2)
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if (typ = 1) then # if number 6
> omniout_str(ALWAYS,"Real");
> else
> omniout_str(ALWAYS,"Complex");
> fi;# end if 6;
> omniout_float(ALWAYS,"DBG Radius of convergence ",4, radius,4," ");
> omniout_float(ALWAYS,"DBG Order of pole ",4, order2,4," ");
> end;
display_pole_debug := proc(typ, radius, order2)
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if typ = 1 then omniout_str(ALWAYS, "Real")
else omniout_str(ALWAYS, "Complex")
end if;
omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4,
" ");
omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4,
" ")
end proc
> # End Function number 15
> # Begin Function number 16
> 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 16
> # Begin Function number 17
> 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 17
> # Begin Function number 18
> 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 18
> # Begin Function number 19
> 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 19
> # Begin Function number 20
> 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 20
> # Begin Function number 21
> log_revs := proc(file,revs)
> fprintf(file,revs);
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # End Function number 21
> # Begin Function number 22
> 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 22
> # Begin Function number 23
> 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 23
> # Begin Function number 24
> logstart := proc(file)
> fprintf(file,"");
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # End Function number 24
> # Begin Function number 25
> logend := proc(file)
> fprintf(file,"
\n");
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # End Function number 25
> # Begin Function number 26
> 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 26
> # Begin Function number 27
> 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 27
> # Begin Function number 28
> 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 28
> # Begin Function number 29
> factorial_2 := proc(nnn)
> nnn!;
> end;
factorial_2 := proc(nnn) nnn! end proc
> # End Function number 29
> # Begin Function number 30
> 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 30
> # Begin Function number 31
> 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 31
> # Begin Function number 32
> convfp := proc(mmm)
> (mmm);
> end;
convfp := proc(mmm) mmm end proc
> # End Function number 32
> # Begin Function number 33
> convfloat := proc(mmm)
> (mmm);
> end;
convfloat := proc(mmm) mmm end proc
> # End Function number 33
> # Begin Function number 34
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
> # End Function number 34
> # Begin Function number 35
> omniabs := proc(x)
> abs(x);
> end;
omniabs := proc(x) abs(x) end proc
> # End Function number 35
> # Begin Function number 36
> expt := proc(x,y)
> (x^y);
> end;
expt := proc(x, y) x^y end proc
> # End Function number 36
> # Begin Function number 37
> 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 37
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y1 := proc(x)
> return(1.0 + sin(x));
> end;
exact_soln_y1 := proc(x) return 1.0 + sin(x) end proc
> exact_soln_y2 := proc(x)
> return(1.0 + sin(x));
> end;
exact_soln_y2 := proc(x) return 1.0 + sin(x) end proc
> exact_soln_y2p := proc(x)
> return( cos(x));
> end;
exact_soln_y2p := proc(x) return cos(x) end proc
> exact_soln_y2pp := proc(x)
> return( -sin(x));
> end;
exact_soln_y2pp := proc(x) return -sin(x) end proc
> exact_soln_y2ppp := proc(x)
> return( -cos(x));
> end;
exact_soln_y2ppp := proc(x) return -cos(x) end proc
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> main := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,iiif,jjjf,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, 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_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_4,
> array_const_0D0,
> array_const_1D0,
> array_const_1,
> array_const_3,
> #END CONST
> array_y2_init,
> array_y1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y2,
> array_x,
> array_y1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_set_initial,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_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_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_max_h := 0.1;
> 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_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-200;
> 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_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 := 2;
> 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/mtest8postode.ode#################");
> omniout_str(ALWAYS,"diff ( y2 , x , 4 ) = y1 - 1.0;");
> omniout_str(ALWAYS,"diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits:=32;");
> omniout_str(ALWAYS,"max_terms:=30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := 0.1;");
> omniout_str(ALWAYS,"x_end := 5.1;");
> omniout_str(ALWAYS,"array_y1_init[0 + 1] := exact_soln_y1(x_start);");
> omniout_str(ALWAYS,"array_y2_init[0 + 1] := exact_soln_y2(x_start);");
> omniout_str(ALWAYS,"array_y2_init[1 + 1] := exact_soln_y2p(x_start);");
> omniout_str(ALWAYS,"array_y2_init[2 + 1] := exact_soln_y2pp(x_start);");
> omniout_str(ALWAYS,"array_y2_init[3 + 1] := exact_soln_y2ppp(x_start);");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 20;");
> 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_y1 := proc(x)");
> omniout_str(ALWAYS,"return(1.0 + sin(x));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"exact_soln_y2 := proc(x)");
> omniout_str(ALWAYS,"return(1.0 + sin(x));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"exact_soln_y2p := proc(x)");
> omniout_str(ALWAYS,"return( cos(x));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"exact_soln_y2pp := proc(x)");
> omniout_str(ALWAYS,"return( -sin(x));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"exact_soln_y2ppp := proc(x)");
> omniout_str(ALWAYS,"return( -cos(x));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"");
> 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;
> #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_y2_init:= Array(0..(max_terms + 1),[]);
> array_y1_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_y2:= Array(0..(max_terms + 1),[]);
> array_x:= Array(0..(max_terms + 1),[]);
> array_y1:= Array(0..(max_terms + 1),[]);
> array_tmp0:= Array(0..(max_terms + 1),[]);
> array_tmp1:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_tmp4:= Array(0..(max_terms + 1),[]);
> array_tmp5:= Array(0..(max_terms + 1),[]);
> array_m1:= Array(0..(max_terms + 1),[]);
> array_y2_higher := Array(0..(5+ 1) ,(0..max_terms+ 1),[]);
> array_y2_higher_work := Array(0..(5+ 1) ,(0..max_terms+ 1),[]);
> array_y2_higher_work2 := Array(0..(5+ 1) ,(0..max_terms+ 1),[]);
> array_y2_set_initial := Array(0..(3+ 1) ,(0..max_terms+ 1),[]);
> array_y1_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y1_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y1_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y1_set_initial := Array(0..(3+ 1) ,(0..max_terms+ 1),[]);
> array_poles := Array(0..(2+ 1) ,(0..3+ 1),[]);
> array_real_pole := Array(0..(2+ 1) ,(0..3+ 1),[]);
> array_complex_pole := Array(0..(2+ 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_y2_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y1_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_y2[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_y1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_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 <=5) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y2_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 <=5) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y2_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 <=5) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y2_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 <=3) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y2_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 <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y1_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_y1_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_y1_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 <=3) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y1_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 <=2) 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 <=2) 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 <=2) 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_y2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_y2[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_y1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_y1[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_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_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_const_4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_4[1] := 4;
> 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_1D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1D0[1] := 1.0;
> array_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_3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_3[1] := 3;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #Initing Factorial Tables
> iiif := 0;
> while (iiif <= glob_max_terms) do # do number 2
> jjjf := 0;
> while (jjjf <= glob_max_terms) do # do number 3
> array_fact_1[iiif] := 0;
> array_fact_2[iiif,jjjf] := 0;
> jjjf := jjjf + 1;
> od;# end do number 3;
> iiif := iiif + 1;
> od;# end do number 2;
> #Done Initing Factorial Tables
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> x_start := 0.1;
> x_end := 5.1;
> array_y1_init[0 + 1] := exact_soln_y1(x_start);
> array_y2_init[0 + 1] := exact_soln_y2(x_start);
> array_y2_init[1 + 1] := exact_soln_y2p(x_start);
> array_y2_init[2 + 1] := exact_soln_y2pp(x_start);
> array_y2_init[3 + 1] := exact_soln_y2ppp(x_start);
> glob_look_poles := true;
> glob_max_iter := 20;
> #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);
> 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_y2_set_initial[1,1] := true;
> array_y2_set_initial[1,2] := true;
> array_y2_set_initial[1,3] := true;
> array_y2_set_initial[1,4] := true;
> array_y2_set_initial[1,5] := false;
> array_y2_set_initial[1,6] := false;
> array_y2_set_initial[1,7] := false;
> array_y2_set_initial[1,8] := false;
> array_y2_set_initial[1,9] := false;
> array_y2_set_initial[1,10] := false;
> array_y2_set_initial[1,11] := false;
> array_y2_set_initial[1,12] := false;
> array_y2_set_initial[1,13] := false;
> array_y2_set_initial[1,14] := false;
> array_y2_set_initial[1,15] := false;
> array_y2_set_initial[1,16] := false;
> array_y2_set_initial[1,17] := false;
> array_y2_set_initial[1,18] := false;
> array_y2_set_initial[1,19] := false;
> array_y2_set_initial[1,20] := false;
> array_y2_set_initial[1,21] := false;
> array_y2_set_initial[1,22] := false;
> array_y2_set_initial[1,23] := false;
> array_y2_set_initial[1,24] := false;
> array_y2_set_initial[1,25] := false;
> array_y2_set_initial[1,26] := false;
> array_y2_set_initial[1,27] := false;
> array_y2_set_initial[1,28] := false;
> array_y2_set_initial[1,29] := false;
> array_y2_set_initial[1,30] := false;
> array_y1_set_initial[2,1] := true;
> array_y1_set_initial[2,2] := false;
> array_y1_set_initial[2,3] := false;
> array_y1_set_initial[2,4] := false;
> array_y1_set_initial[2,5] := false;
> array_y1_set_initial[2,6] := false;
> array_y1_set_initial[2,7] := false;
> array_y1_set_initial[2,8] := false;
> array_y1_set_initial[2,9] := false;
> array_y1_set_initial[2,10] := false;
> array_y1_set_initial[2,11] := false;
> array_y1_set_initial[2,12] := false;
> array_y1_set_initial[2,13] := false;
> array_y1_set_initial[2,14] := false;
> array_y1_set_initial[2,15] := false;
> array_y1_set_initial[2,16] := false;
> array_y1_set_initial[2,17] := false;
> array_y1_set_initial[2,18] := false;
> array_y1_set_initial[2,19] := false;
> array_y1_set_initial[2,20] := false;
> array_y1_set_initial[2,21] := false;
> array_y1_set_initial[2,22] := false;
> array_y1_set_initial[2,23] := false;
> array_y1_set_initial[2,24] := false;
> array_y1_set_initial[2,25] := false;
> array_y1_set_initial[2,26] := false;
> array_y1_set_initial[2,27] := false;
> array_y1_set_initial[2,28] := false;
> array_y1_set_initial[2,29] := false;
> array_y1_set_initial[2,30] := 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 3
> glob_h := glob_display_interval;
> fi;# end if 3;
> if (glob_max_h < glob_h) then # if number 3
> glob_h := glob_max_h;
> fi;# end if 3;
> 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 := 4;
> #Start Series array_y2
> term_no := 1;
> while (term_no <= order_diff) do # do number 3
> array_y2[term_no] := array_y2_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_y2_higher[r_order,term_no] := array_y2_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
> ;
> order_diff := 1;
> #Start Series array_y1
> term_no := 1;
> while (term_no <= order_diff) do # do number 3
> array_y1[term_no] := array_y1_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_y1_higher[r_order,term_no] := array_y1_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
> ;
> if (glob_subiter_method = 1 ) then # if number 3
> atomall();
> elif
> (glob_subiter_method = 2 ) then # if number 4
> subiter := 1;
> while (subiter <= 5) do # do number 3
> atomall();
> subiter := subiter + 1;
> od;# end do number 3;
> else
> subiter := 1;
> while (subiter <= 5 + glob_max_terms) do # do number 3
> atomall();
> subiter := subiter + 1;
> od;# end do number 3;
> fi;# end if 4;
> 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 4
> best_h := glob_h;
> found_h := 1.0;
> fi;# end if 4;
> 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 4
> glob_h := best_h ;
> else
> omniout_str(ALWAYS,"No increment to obtain desired accuracy found");
> fi;# end if 4;
> #END OPTIMIZE CODE
> if (glob_html_log) then # if number 4
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 4;
> #BEGIN SOLUTION CODE
> if (found_h > 0.0) then # if number 4
> 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 := 4;
> #Start Series array_y2
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y2[term_no] := array_y2_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_y2_higher[r_order,term_no] := array_y2_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
> ;
> order_diff := 1;
> #Start Series array_y1
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y1[term_no] := array_y1_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_y1_higher[r_order,term_no] := array_y1_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_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 5
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> fi;# end if 5;
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> if (glob_subiter_method = 1 ) then # if number 5
> atomall();
> elif
> (glob_subiter_method = 2 ) then # if number 6
> subiter := 1;
> while (subiter <= 5) do # do number 3
> atomall();
> subiter := subiter + 1;
> od;# end do number 3;
> else
> subiter := 1;
> while (subiter <= 5 + glob_max_terms) do # do number 3
> atomall();
> subiter := subiter + 1;
> od;# end do number 3;
> fi;# end if 6;
> display_alot(current_iter);
> if (glob_look_poles) then # if number 6
> #left paren 0004C
> check_for_pole();
> fi;# end if 6;#was right paren 0004C
> if (reached_interval()) then # if number 6
> glob_next_display := glob_next_display + glob_display_interval;
> fi;# end if 6;
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y2;
> order_diff := 5;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y2
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 5;
> calc_term := 1;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[5,iii] := array_y2_higher[5,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 := 5;
> calc_term := 1;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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 := 4;
> calc_term := 2;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[4,iii] := array_y2_higher[4,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 := 4;
> calc_term := 2;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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 := 4;
> calc_term := 1;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[4,iii] := array_y2_higher[4,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 := 4;
> calc_term := 1;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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 := 3;
> calc_term := 3;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[3,iii] := array_y2_higher[3,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 := 3;
> calc_term := 3;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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 := 3;
> calc_term := 2;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[3,iii] := array_y2_higher[3,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 := 3;
> calc_term := 2;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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 := 3;
> calc_term := 1;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[3,iii] := array_y2_higher[3,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 := 3;
> calc_term := 1;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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 := 2;
> calc_term := 4;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[2,iii] := array_y2_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 := 4;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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 := 2;
> calc_term := 3;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[2,iii] := array_y2_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 := 3;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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 := 2;
> calc_term := 2;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[2,iii] := array_y2_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 := 2;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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 := 2;
> calc_term := 1;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[2,iii] := array_y2_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_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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 := 5;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[1,iii] := array_y2_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 := 5;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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 := 4;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[1,iii] := array_y2_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 := 4;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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 := 3;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[1,iii] := array_y2_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 := 3;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[1,iii] := array_y2_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_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[1,iii] := array_y2_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_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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_y2[term_no] := array_y2_higher_work2[1,term_no];
> ord := 1;
> while (ord <= order_diff) do # do number 4
> array_y2_higher[ord,term_no] := array_y2_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
> #Jump Series array_y1;
> order_diff := 2;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =2
> #sum_and_adjust array_y1
> #BEFORE ADJUST SUBSERIES EQ =2
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y1_higher_work[2,iii] := array_y1_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 =2
> #BEFORE SUM SUBSERIES EQ =2
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y1_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y1_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =2
> #BEFORE ADJUST SUBSERIES EQ =2
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y1_higher_work[1,iii] := array_y1_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 =2
> #BEFORE SUM SUBSERIES EQ =2
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y1_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y1_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =2
> #BEFORE ADJUST SUBSERIES EQ =2
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y1_higher_work[1,iii] := array_y1_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 =2
> #BEFORE SUM SUBSERIES EQ =2
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y1_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y1_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =2
> #END SUM AND ADJUST EQ =2
> #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_y1[term_no] := array_y1_higher_work2[1,term_no];
> ord := 1;
> while (ord <= order_diff) do # do number 4
> array_y1_higher[ord,term_no] := array_y1_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 6
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!");
> fi;# end if 6;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 6
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!");
> fi;# end if 6;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y2 , x , 4 ) = y1 - 1.0;");
> omniout_str(INFO,"diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if (glob_html_log) then # if number 6
> logstart(html_log_file);
> logitem_str(html_log_file,"2013-01-28T18:15:02-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"mtest8")
> ;
> logitem_str(html_log_file,"diff ( y2 , x , 4 ) = y1 - 1.0;")
> ;
> 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 7
> 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 7;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if (glob_percent_done < 100.0) then # if number 7
> logitem_time(html_log_file,convfloat(glob_total_exp_sec))
> ;
> 0;
> else
> logitem_str(html_log_file,"Done")
> ;
> 0;
> fi;# end if 7;
> log_revs(html_log_file," 165 | ")
> ;
> logitem_str(html_log_file,"mtest8 diffeq.mxt")
> ;
> logitem_str(html_log_file,"mtest8 maple results")
> ;
> logitem_str(html_log_file,"All Tests - All Languages")
> ;
> logend(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logitem_str(html_log_file,"diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;")
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> ;
> logitem_good_digits(html_log_file,array_last_rel_error[2])
> ;
> logditto(html_log_file)
> ;
> logitem_float(html_log_file,array_1st_rel_error[2])
> ;
> logitem_float(html_log_file,array_last_rel_error[2])
> ;
> logditto(html_log_file)
> ;
> logitem_pole(html_log_file,array_type_pole[2])
> ;
> if (array_type_pole[2] = 1 or array_type_pole[2] = 2) then # if number 7
> 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 7;
> logditto(html_log_file)
> ;
> if (glob_percent_done < 100.0) then # if number 7
> logditto(html_log_file)
> ;
> 0;
> else
> logditto(html_log_file)
> ;
> 0;
> fi;# end if 7;
> logditto(html_log_file);
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 6;
> if (glob_html_log) then # if number 6
> fclose(html_log_file);
> fi;# end if 6
> ;
> ;;
> fi;# end if 5
> #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, 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_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_4,
array_const_0D0, array_const_1D0, array_const_1, array_const_3,
array_y2_init, array_y1_init, array_norms, array_fact_1, array_pole,
array_1st_rel_error, array_last_rel_error, array_type_pole, array_y2,
array_x, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_m1, array_y2_higher, array_y2_higher_work,
array_y2_higher_work2, array_y2_set_initial, array_y1_higher,
array_y1_higher_work, array_y1_higher_work2, array_y1_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_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_max_h := 0.1;
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_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^(-200);
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_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 := 2;
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/mtest8postode.ode#################");
omniout_str(ALWAYS, "diff ( y2 , x , 4 ) = y1 - 1.0;");
omniout_str(ALWAYS, "diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;")
;
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits:=32;");
omniout_str(ALWAYS, "max_terms:=30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := 0.1;");
omniout_str(ALWAYS, "x_end := 5.1;");
omniout_str(ALWAYS, "array_y1_init[0 + 1] := exact_soln_y1(x_start);");
omniout_str(ALWAYS, "array_y2_init[0 + 1] := exact_soln_y2(x_start);");
omniout_str(ALWAYS, "array_y2_init[1 + 1] := exact_soln_y2p(x_start);")
;
omniout_str(ALWAYS, "array_y2_init[2 + 1] := exact_soln_y2pp(x_start);")
;
omniout_str(ALWAYS,
"array_y2_init[3 + 1] := exact_soln_y2ppp(x_start);");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 20;");
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_y1 := proc(x)");
omniout_str(ALWAYS, "return(1.0 +\tsin(x));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "exact_soln_y2 := proc(x)");
omniout_str(ALWAYS, "return(1.0 +\tsin(x));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "exact_soln_y2p := proc(x)");
omniout_str(ALWAYS, "return(\tcos(x));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "exact_soln_y2pp := proc(x)");
omniout_str(ALWAYS, "return(\t-sin(x));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "exact_soln_y2ppp := proc(x)");
omniout_str(ALWAYS, "return(\t-cos(x));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "");
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;
Digits := 32;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_y2_init := Array(0 .. max_terms + 1, []);
array_y1_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_y2 := Array(0 .. max_terms + 1, []);
array_x := Array(0 .. max_terms + 1, []);
array_y1 := Array(0 .. max_terms + 1, []);
array_tmp0 := Array(0 .. max_terms + 1, []);
array_tmp1 := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_tmp4 := Array(0 .. max_terms + 1, []);
array_tmp5 := Array(0 .. max_terms + 1, []);
array_m1 := Array(0 .. max_terms + 1, []);
array_y2_higher := Array(0 .. 6, 0 .. max_terms + 1, []);
array_y2_higher_work := Array(0 .. 6, 0 .. max_terms + 1, []);
array_y2_higher_work2 := Array(0 .. 6, 0 .. max_terms + 1, []);
array_y2_set_initial := Array(0 .. 4, 0 .. max_terms + 1, []);
array_y1_higher := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y1_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y1_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y1_set_initial := Array(0 .. 4, 0 .. max_terms + 1, []);
array_poles := Array(0 .. 3, 0 .. 4, []);
array_real_pole := Array(0 .. 3, 0 .. 4, []);
array_complex_pole := Array(0 .. 3, 0 .. 4, []);
array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []);
term := 1;
while term <= max_terms do array_y2_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y1_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_y2[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_y1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_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 <= 5 do
term := 1;
while term <= max_terms do
array_y2_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 5 do
term := 1;
while term <= max_terms do
array_y2_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 5 do
term := 1;
while term <= max_terms do
array_y2_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 3 do
term := 1;
while term <= max_terms do
array_y2_set_initial[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_y1_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_y1_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_y1_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 3 do
term := 1;
while term <= max_terms do
array_y1_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 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 <= 2 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 <= 2 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_y2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y2[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_y1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y1[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_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_tmp5 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1
end do;
array_const_4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_4[term] := 0.; term := term + 1
end do;
array_const_4[1] := 4;
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_1D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1D0[term] := 0.; term := term + 1
end do;
array_const_1D0[1] := 1.0;
array_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_3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_3[term] := 0.; term := term + 1
end do;
array_const_3[1] := 3;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
iiif := 0;
while iiif <= glob_max_terms do
jjjf := 0;
while jjjf <= glob_max_terms do
array_fact_1[iiif] := 0;
array_fact_2[iiif, jjjf] := 0;
jjjf := jjjf + 1
end do;
iiif := iiif + 1
end do;
x_start := 0.1;
x_end := 5.1;
array_y1_init[1] := exact_soln_y1(x_start);
array_y2_init[1] := exact_soln_y2(x_start);
array_y2_init[2] := exact_soln_y2p(x_start);
array_y2_init[3] := exact_soln_y2pp(x_start);
array_y2_init[4] := exact_soln_y2ppp(x_start);
glob_look_poles := true;
glob_max_iter := 20;
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);
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_y2_set_initial[1, 1] := true;
array_y2_set_initial[1, 2] := true;
array_y2_set_initial[1, 3] := true;
array_y2_set_initial[1, 4] := true;
array_y2_set_initial[1, 5] := false;
array_y2_set_initial[1, 6] := false;
array_y2_set_initial[1, 7] := false;
array_y2_set_initial[1, 8] := false;
array_y2_set_initial[1, 9] := false;
array_y2_set_initial[1, 10] := false;
array_y2_set_initial[1, 11] := false;
array_y2_set_initial[1, 12] := false;
array_y2_set_initial[1, 13] := false;
array_y2_set_initial[1, 14] := false;
array_y2_set_initial[1, 15] := false;
array_y2_set_initial[1, 16] := false;
array_y2_set_initial[1, 17] := false;
array_y2_set_initial[1, 18] := false;
array_y2_set_initial[1, 19] := false;
array_y2_set_initial[1, 20] := false;
array_y2_set_initial[1, 21] := false;
array_y2_set_initial[1, 22] := false;
array_y2_set_initial[1, 23] := false;
array_y2_set_initial[1, 24] := false;
array_y2_set_initial[1, 25] := false;
array_y2_set_initial[1, 26] := false;
array_y2_set_initial[1, 27] := false;
array_y2_set_initial[1, 28] := false;
array_y2_set_initial[1, 29] := false;
array_y2_set_initial[1, 30] := false;
array_y1_set_initial[2, 1] := true;
array_y1_set_initial[2, 2] := false;
array_y1_set_initial[2, 3] := false;
array_y1_set_initial[2, 4] := false;
array_y1_set_initial[2, 5] := false;
array_y1_set_initial[2, 6] := false;
array_y1_set_initial[2, 7] := false;
array_y1_set_initial[2, 8] := false;
array_y1_set_initial[2, 9] := false;
array_y1_set_initial[2, 10] := false;
array_y1_set_initial[2, 11] := false;
array_y1_set_initial[2, 12] := false;
array_y1_set_initial[2, 13] := false;
array_y1_set_initial[2, 14] := false;
array_y1_set_initial[2, 15] := false;
array_y1_set_initial[2, 16] := false;
array_y1_set_initial[2, 17] := false;
array_y1_set_initial[2, 18] := false;
array_y1_set_initial[2, 19] := false;
array_y1_set_initial[2, 20] := false;
array_y1_set_initial[2, 21] := false;
array_y1_set_initial[2, 22] := false;
array_y1_set_initial[2, 23] := false;
array_y1_set_initial[2, 24] := false;
array_y1_set_initial[2, 25] := false;
array_y1_set_initial[2, 26] := false;
array_y1_set_initial[2, 27] := false;
array_y1_set_initial[2, 28] := false;
array_y1_set_initial[2, 29] := false;
array_y1_set_initial[2, 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;
if glob_max_h < glob_h then glob_h := glob_max_h 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 := 4;
term_no := 1;
while term_no <= order_diff do
array_y2[term_no] := array_y2_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_y2_higher[r_order, term_no] := array_y2_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;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y1[term_no] := array_y1_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_y1_higher[r_order, term_no] := array_y1_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;
if glob_subiter_method = 1 then atomall()
elif glob_subiter_method = 2 then
subiter := 1;
while subiter <= 5 do atomall(); subiter := subiter + 1 end do
else
subiter := 1;
while subiter <= 5 + glob_max_terms do
atomall(); subiter := subiter + 1
end do
end if;
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 := 4;
term_no := 1;
while term_no <= order_diff do
array_y2[term_no] := array_y2_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_y2_higher[r_order, term_no] := array_y2_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;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y1[term_no] := array_y1_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_y1_higher[r_order, term_no] := array_y1_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_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;
if glob_subiter_method = 1 then atomall()
elif glob_subiter_method = 2 then
subiter := 1;
while subiter <= 5 do atomall(); subiter := subiter + 1
end do
else
subiter := 1;
while subiter <= 5 + glob_max_terms do
atomall(); subiter := subiter + 1
end do
end if;
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 := 5;
ord := 5;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[5, iii] := array_y2_higher[5, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 5;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 4;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[4, iii] := array_y2_higher[4, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 4;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 4;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[4, iii] := array_y2_higher[4, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 4;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 3;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 3;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 3;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 3;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 3;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 3;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 2;
calc_term := 4;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[2, iii] := array_y2_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 := 4;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 2;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[2, iii] := array_y2_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 := 3;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 2;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[2, iii] := array_y2_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 := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[2, iii] := array_y2_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_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 5;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[1, iii] := array_y2_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 := 5;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 4;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[1, iii] := array_y2_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 := 4;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[1, iii] := array_y2_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 := 3;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_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_y2_higher_work[1, iii] := array_y2_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_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_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_y2_higher_work[1, iii] := array_y2_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_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_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_y2[term_no] := array_y2_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y2_higher[ord, term_no] :=
array_y2_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do;
order_diff := 2;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y1_higher_work[2, iii] := array_y1_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_y1_higher_work[ord, iii];
iii := iii - 1
end do;
array_y1_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_y1_higher_work[1, iii] := array_y1_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_y1_higher_work[ord, iii];
iii := iii - 1
end do;
array_y1_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_y1_higher_work[1, iii] := array_y1_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_y1_higher_work[ord, iii];
iii := iii - 1
end do;
array_y1_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_y1[term_no] := array_y1_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y1_higher[ord, term_no] :=
array_y1_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 ( y2 , x , 4 ) = y1 - 1.0;");
omniout_str(INFO,
"diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;");
omniout_int(INFO, "Iterations ", 32,
glob_iter, 4, " ");
prog_report(x_start, x_end);
if glob_html_log then
logstart(html_log_file);
logitem_str(html_log_file, "2013-01-28T18:15:02-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"mtest8");
logitem_str(html_log_file, "diff ( y2 , x , 4 ) = y1 - 1.0;");
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, " 165 | ");
logitem_str(html_log_file,
"mtest8 diffeq.mxt");
logitem_str(html_log_file, "mtest8 maple results");
logitem_str(html_log_file, "All Tests - All Languages");
logend(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logitem_str(html_log_file,
"diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;");
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logitem_good_digits(html_log_file, array_last_rel_error[2]);
logditto(html_log_file);
logitem_float(html_log_file, array_1st_rel_error[2]);
logitem_float(html_log_file, array_last_rel_error[2]);
logditto(html_log_file);
logitem_pole(html_log_file, array_type_pole[2]);
if array_type_pole[2] = 1 or array_type_pole[2] = 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;
logditto(html_log_file);
if glob_percent_done < 100.0 then logditto(html_log_file); 0
else logditto(html_log_file); 0
end if;
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
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/mtest8postode.ode#################
diff ( y2 , x , 4 ) = y1 - 1.0;
diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;
!
#BEGIN FIRST INPUT BLOCK
Digits:=32;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 0.1;
x_end := 5.1;
array_y1_init[0 + 1] := exact_soln_y1(x_start);
array_y2_init[0 + 1] := exact_soln_y2(x_start);
array_y2_init[1 + 1] := exact_soln_y2p(x_start);
array_y2_init[2 + 1] := exact_soln_y2pp(x_start);
array_y2_init[3 + 1] := exact_soln_y2ppp(x_start);
glob_look_poles := true;
glob_max_iter := 20;
#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_y1 := proc(x)
return(1.0 + sin(x));
end;
exact_soln_y2 := proc(x)
return(1.0 + sin(x));
end;
exact_soln_y2p := proc(x)
return( cos(x));
end;
exact_soln_y2pp := proc(x)
return( -sin(x));
end;
exact_soln_y2ppp := proc(x)
return( -cos(x));
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
opt_iter = 1
memory used=3.8MB, alloc=3.1MB, time=0.17
glob_desired_digits_correct = 10
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 5
estimated_steps = 5000
step_error = 2.0000000000000000000000000000000e-14
est_needed_step_err = 2.0000000000000000000000000000000e-14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 2.4759225582891422933370225621900e-106
max_value3 = 2.4759225582891422933370225621900e-106
value3 = 2.4759225582891422933370225621900e-106
best_h = 0.001
START of Soultion
TOP MAIN SOLVE Loop
memory used=7.6MB, alloc=4.4MB, time=0.39
x[1] = 0.1
y2[1] (analytic) = 1.0998334166468281523068141984106
y2[1] (numeric) = 1.0998334166468281523068141984106
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.0998334166468281523068141984106
y1[1] (numeric) = 1.0998334166468281523068141984106
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.4MB, time=0.60
x[1] = 0.101
y2[1] (analytic) = 1.1008283707295679951297521195232
y2[1] (numeric) = 1.1008283707295679951297521195232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.1008283707295679951297521195232
y1[1] (numeric) = 1.1008283707295679951297521195232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=15.2MB, alloc=4.4MB, time=0.82
x[1] = 0.102
y2[1] (analytic) = 1.1018232239839455107486422960806
y2[1] (numeric) = 1.1018232239839455107486422960807
absolute error = 1e-31
relative error = 9.0758660575715986125085029519655e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.1018232239839455107486422960806
y1[1] (numeric) = 1.1018232239839455107486422960807
absolute error = 1e-31
relative error = 9.0758660575715986125085029519655e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=19.0MB, alloc=4.4MB, time=1.03
x[1] = 0.103
y2[1] (analytic) = 1.1028179754151075276904042105046
y2[1] (numeric) = 1.1028179754151075276904042105046
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.1028179754151075276904042105046
y1[1] (numeric) = 1.1028179754151075276904042105046
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.4MB, time=1.24
x[1] = 0.104
y2[1] (analytic) = 1.1038126240283026976889707546695
y2[1] (numeric) = 1.1038126240283026976889707546695
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.1038126240283026976889707546695
y1[1] (numeric) = 1.1038126240283026976889707546695
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.4MB, time=1.46
x[1] = 0.105
y2[1] (analytic) = 1.1048071688288824904365536000268
y2[1] (numeric) = 1.1048071688288824904365536000268
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.1048071688288824904365536000268
y1[1] (numeric) = 1.1048071688288824904365536000268
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=30.5MB, alloc=4.4MB, time=1.67
x[1] = 0.106
y2[1] (analytic) = 1.1058016088223021882320906180187
y2[1] (numeric) = 1.1058016088223021882320906180187
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.1058016088223021882320906180187
y1[1] (numeric) = 1.1058016088223021882320906180187
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.4MB, time=1.89
x[1] = 0.107
y2[1] (analytic) = 1.1067959430141218805258807024165
y2[1] (numeric) = 1.1067959430141218805258807024164
absolute error = 1e-31
relative error = 9.0350891355520694664192954312661e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.1067959430141218805258807024165
y1[1] (numeric) = 1.1067959430141218805258807024164
absolute error = 1e-31
relative error = 9.0350891355520694664192954312661e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.4MB, time=2.11
x[1] = 0.108
y2[1] (analytic) = 1.1077901704100074583594114490316
y2[1] (numeric) = 1.1077901704100074583594114490315
absolute error = 1e-31
relative error = 9.0269802595367593550019973401986e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.1077901704100074583594114490316
y1[1] (numeric) = 1.1077901704100074583594114490315
absolute error = 1e-31
relative error = 9.0269802595367593550019973401986e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.4MB, time=2.32
x[1] = 0.109
y2[1] (analytic) = 1.1087842900157316086993852530554
y2[1] (numeric) = 1.1087842900157316086993852530554
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.1087842900157316086993852530554
y1[1] (numeric) = 1.1087842900157316086993852530554
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.4MB, time=2.54
x[1] = 0.11
y2[1] (analytic) = 1.1097783008371748086649494900834
y2[1] (numeric) = 1.1097783008371748086649494900834
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.1097783008371748086649494900834
y1[1] (numeric) = 1.1097783008371748086649494900834
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=49.5MB, alloc=4.4MB, time=2.76
x[1] = 0.111
y2[1] (analytic) = 1.1107722018803263196471365536769
y2[1] (numeric) = 1.1107722018803263196471365536769
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.1107722018803263196471365536769
y1[1] (numeric) = 1.1107722018803263196471365536769
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.4MB, time=2.97
x[1] = 0.112
y2[1] (analytic) = 1.1117659921512851813195196301052
y2[1] (numeric) = 1.1117659921512851813195196301052
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.1117659921512851813195196301052
y1[1] (numeric) = 1.1117659921512851813195196301052
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.4MB, time=3.19
x[1] = 0.113
y2[1] (analytic) = 1.1127596706562612055390901996952
y2[1] (numeric) = 1.1127596706562612055390901996952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.1127596706562612055390901996952
y1[1] (numeric) = 1.1127596706562612055390901996952
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.4MB, time=3.40
x[1] = 0.114
y2[1] (analytic) = 1.1137532364015759701363633639937
y2[1] (numeric) = 1.1137532364015759701363633639937
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.1137532364015759701363633639937
y1[1] (numeric) = 1.1137532364015759701363633639937
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.4MB, time=3.62
x[1] = 0.115
y2[1] (analytic) = 1.1147466883936638125937172087197
y2[1] (numeric) = 1.1147466883936638125937172087197
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.1147466883936638125937172087197
y1[1] (numeric) = 1.1147466883936638125937172087197
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.4MB, time=3.84
x[1] = 0.116
y2[1] (analytic) = 1.1157400256390728236109725242508
y2[1] (numeric) = 1.1157400256390728236109725242508
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.1157400256390728236109725242508
y1[1] (numeric) = 1.1157400256390728236109725242508
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.5MB, time=4.06
x[1] = 0.117
y2[1] (analytic) = 1.1167332471444658405572193181459
y2[1] (numeric) = 1.1167332471444658405572193181459
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.1167332471444658405572193181459
y1[1] (numeric) = 1.1167332471444658405572193181459
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.5MB, time=4.28
x[1] = 0.118
y2[1] (analytic) = 1.117726351916621440807896667961
y2[1] (numeric) = 1.117726351916621440807896667961
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.117726351916621440807896667961
y1[1] (numeric) = 1.117726351916621440807896667961
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.5MB, time=4.49
x[1] = 0.119
y2[1] (analytic) = 1.1187193389624349349661325773612
y2[1] (numeric) = 1.1187193389624349349661325773611
absolute error = 1e-31
relative error = 8.9387924671746345133608701960698e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.1187193389624349349661325773612
y1[1] (numeric) = 1.1187193389624349349661325773611
absolute error = 1e-31
relative error = 8.9387924671746345133608701960698e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=83.9MB, alloc=4.5MB, time=4.71
x[1] = 0.12
y2[1] (analytic) = 1.119712207288919359967350614271
y2[1] (numeric) = 1.1197122072889193599673506142709
absolute error = 1e-31
relative error = 8.9308662841251848826513335689902e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.119712207288919359967350614271
y1[1] (numeric) = 1.1197122072889193599673506142709
absolute error = 1e-31
relative error = 8.9308662841251848826513335689902e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.5MB, time=4.93
x[1] = 0.121
y2[1] (analytic) = 1.1207049559032064720661502265403
y2[1] (numeric) = 1.1207049559032064720661502265402
absolute error = 1e-31
relative error = 8.9229550983298090309887713412701e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.1207049559032064720661502265403
y1[1] (numeric) = 1.1207049559032064720661502265402
absolute error = 1e-31
relative error = 8.9229550983298090309887713412701e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.5MB, time=5.14
x[1] = 0.122
y2[1] (analytic) = 1.1216975838125477397044677483272
y2[1] (numeric) = 1.1216975838125477397044677483271
absolute error = 1e-31
relative error = 8.9150588753261930328340981292706e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.1216975838125477397044677483272
y1[1] (numeric) = 1.1216975838125477397044677483271
absolute error = 1e-31
relative error = 8.9150588753261930328340981292706e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.5MB, time=5.36
x[1] = 0.123
y2[1] (analytic) = 1.1226900900243153362600252291201
y2[1] (numeric) = 1.12269009002431533626002522912
absolute error = 1e-31
relative error = 8.9071775807546488470350644036354e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.1226900900243153362600252291201
y1[1] (numeric) = 1.12269009002431533626002522912
absolute error = 1e-31
relative error = 8.9071775807546488470350644036354e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.5MB, time=5.58
x[1] = 0.124
y2[1] (analytic) = 1.1236824735460031326740743370329
y2[1] (numeric) = 1.1236824735460031326740743370328
absolute error = 1e-31
relative error = 8.8993111803577523780450147122281e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.1236824735460031326740743370329
y1[1] (numeric) = 1.1236824735460031326740743370328
absolute error = 1e-31
relative error = 8.8993111803577523780450147122281e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=102.9MB, alloc=4.5MB, time=5.80
x[1] = 0.125
y2[1] (analytic) = 1.1246747333852276899574427087121
y2[1] (numeric) = 1.124674733385227689957442708712
absolute error = 1e-31
relative error = 8.8914596399799830326059934059026e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.1246747333852276899574427087121
y1[1] (numeric) = 1.124674733385227689957442708712
absolute error = 1e-31
relative error = 8.8914596399799830326059934059026e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=106.8MB, alloc=4.5MB, time=6.01
x[1] = 0.126
y2[1] (analytic) = 1.1256668685497292515738902398917
y2[1] (numeric) = 1.1256668685497292515738902398916
absolute error = 1e-31
relative error = 8.8836229255673647648508380242328e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.1256668685497292515738902398917
y1[1] (numeric) = 1.1256668685497292515738902398916
absolute error = 1e-31
relative error = 8.8836229255673647648508380242328e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.5MB, time=6.23
x[1] = 0.127
y2[1] (analytic) = 1.1266588780473727356997829333235
y2[1] (numeric) = 1.1266588780473727356997829333233
absolute error = 2e-31
relative error = 1.7751602006334217205632486644907e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1266588780473727356997829333235
y1[1] (numeric) = 1.1266588780473727356997829333233
absolute error = 2e-31
relative error = 1.7751602006334217205632486644907e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.5MB, time=6.45
x[1] = 0.128
y2[1] (analytic) = 1.1276507608861487273590920444897
y2[1] (numeric) = 1.1276507608861487273590920444896
absolute error = 1e-31
relative error = 8.8679938389272566493959020046181e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.1276507608861487273590920444897
y1[1] (numeric) = 1.1276507608861487273590920444896
absolute error = 1e-31
relative error = 8.8679938389272566493959020046181e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.5MB, time=6.66
x[1] = 0.129
y2[1] (analytic) = 1.128642516074174470432726390184
y2[1] (numeric) = 1.1286425160741744704327263901838
absolute error = 2e-31
relative error = 1.7720402798192655101599465985807e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.128642516074174470432726390184
y1[1] (numeric) = 1.1286425160741744704327263901838
absolute error = 2e-31
relative error = 1.7720402798192655101599465985807e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.5MB, time=6.88
x[1] = 0.13
y2[1] (analytic) = 1.1296341426196948595412058107083
y2[1] (numeric) = 1.1296341426196948595412058107081
absolute error = 2e-31
relative error = 1.7704847300045926851243791841683e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1296341426196948595412058107083
y1[1] (numeric) = 1.1296341426196948595412058107081
absolute error = 2e-31
relative error = 1.7704847300045926851243791841683e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.5MB, time=7.10
x[1] = 0.131
y2[1] (analytic) = 1.1306256395310834317996839030976
y2[1] (numeric) = 1.1306256395310834317996839030974
absolute error = 2e-31
relative error = 1.7689321116311156495313525780970e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1306256395310834317996839030976
y1[1] (numeric) = 1.1306256395310834317996839030974
absolute error = 2e-31
relative error = 1.7689321116311156495313525780970e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.5MB, time=7.31
x[1] = 0.132
y2[1] (analytic) = 1.1316170058168433584443282704301
y2[1] (numeric) = 1.1316170058168433584443282704299
absolute error = 2e-31
relative error = 1.7673824180084015351276553544295e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1316170058168433584443282704301
y1[1] (numeric) = 1.1316170058168433584443282704299
absolute error = 2e-31
relative error = 1.7673824180084015351276553544295e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.5MB, time=7.53
x[1] = 0.133
y2[1] (analytic) = 1.1326082404856084363290666609268
y2[1] (numeric) = 1.1326082404856084363290666609266
absolute error = 2e-31
relative error = 1.7658356424658320646228341664264e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1326082404856084363290666609268
y1[1] (numeric) = 1.1326082404856084363290666609266
absolute error = 2e-31
relative error = 1.7658356424658320646228341664264e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.5MB, time=7.75
x[1] = 0.134
y2[1] (analytic) = 1.1335993425461440792917075001763
y2[1] (numeric) = 1.133599342546144079291707500176
absolute error = 3e-31
relative error = 2.6464376675288011385107075863729e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1335993425461440792917075001763
y1[1] (numeric) = 1.133599342546144079291707500176
absolute error = 3e-31
relative error = 2.6464376675288011385107075863729e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.5MB, time=7.97
x[1] = 0.135
y2[1] (analytic) = 1.1345903110073483093884434504466
y2[1] (numeric) = 1.1345903110073483093884434504463
absolute error = 3e-31
relative error = 2.6441262285559656453037281621985e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1345903110073483093884434504466
y1[1] (numeric) = 1.1345903110073483093884434504463
absolute error = 3e-31
relative error = 2.6441262285559656453037281621985e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=144.9MB, alloc=4.5MB, time=8.19
TOP MAIN SOLVE Loop
x[1] = 0.136
y2[1] (analytic) = 1.1355811448782527479957467626642
y2[1] (numeric) = 1.1355811448782527479957467626639
absolute error = 3e-31
relative error = 2.6418191368628564365651747025173e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1355811448782527479957467626642
y1[1] (numeric) = 1.1355811448782527479957467626639
absolute error = 3e-31
relative error = 2.6418191368628564365651747025173e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=148.7MB, alloc=4.5MB, time=8.40
TOP MAIN SOLVE Loop
x[1] = 0.137
y2[1] (analytic) = 1.1365718431680236067786653192461
y2[1] (numeric) = 1.1365718431680236067786653192458
absolute error = 3e-31
relative error = 2.6395163825613960218884807067368e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1365718431680236067786653192461
y1[1] (numeric) = 1.1365718431680236067786653192458
absolute error = 3e-31
relative error = 2.6395163825613960218884807067368e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=152.5MB, alloc=4.5MB, time=8.62
TOP MAIN SOLVE Loop
x[1] = 0.138
y2[1] (analytic) = 1.1375624048859626785245283995723
y2[1] (numeric) = 1.137562404885962678524528399572
absolute error = 3e-31
relative error = 2.6372179557927121121989079471353e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1375624048859626785245283995723
y1[1] (numeric) = 1.137562404885962678524528399572
absolute error = 3e-31
relative error = 2.6372179557927121121989079471353e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=156.4MB, alloc=4.5MB, time=8.84
TOP MAIN SOLVE Loop
x[1] = 0.139
y2[1] (analytic) = 1.1385528290415083278410713344755
y2[1] (numeric) = 1.1385528290415083278410713344752
absolute error = 3e-31
relative error = 2.6349238467270355507884802880844e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1385528290415083278410713344755
y1[1] (numeric) = 1.1385528290415083278410713344752
absolute error = 3e-31
relative error = 2.6349238467270355507884802880844e-29 %
Correct digits = 30
h = 0.001
memory used=160.2MB, alloc=4.5MB, time=9.06
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.5MB, time=9.28
x[1] = 0.14
y2[1] (analytic) = 1.1395431146442364817179883517054
y2[1] (numeric) = 1.139543114644236481717988351705
absolute error = 4e-31
relative error = 3.5101787274181315499106401304621e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1395431146442364817179883517054
y1[1] (numeric) = 1.139543114644236481717988351705
absolute error = 4e-31
relative error = 3.5101787274181315499106401304621e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=4.5MB, time=9.50
x[1] = 0.141
y2[1] (analytic) = 1.1405332607038616199509230508977
y2[1] (numeric) = 1.1405332607038616199509230508973
absolute error = 4e-31
relative error = 3.5071313900407120248516136013066e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1405332607038616199509230508977
y1[1] (numeric) = 1.1405332607038616199509230508973
absolute error = 4e-31
relative error = 3.5071313900407120248516136013066e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.5MB, time=9.71
x[1] = 0.142
y2[1] (analytic) = 1.1415232662302377654269060841403
y2[1] (numeric) = 1.1415232662302377654269060841399
absolute error = 4e-31
relative error = 3.5040897705130314894359757044950e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1415232662302377654269060841403
y1[1] (numeric) = 1.1415232662302377654269060841399
absolute error = 4e-31
relative error = 3.5040897705130314894359757044950e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.5MB, time=9.93
x[1] = 0.143
y2[1] (analytic) = 1.1425131302333594742702497567803
y2[1] (numeric) = 1.1425131302333594742702497567799
absolute error = 4e-31
relative error = 3.5010538558825979643659816673224e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1425131302333594742702497567803
y1[1] (numeric) = 1.1425131302333594742702497567799
absolute error = 4e-31
relative error = 3.5010538558825979643659816673224e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=179.2MB, alloc=4.5MB, time=10.15
x[1] = 0.144
y2[1] (analytic) = 1.143502851723362825847909402661
y2[1] (numeric) = 1.1435028517233628258479094026606
absolute error = 4e-31
relative error = 3.4980236332350514968504631484013e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.143502851723362825847909402661
y1[1] (numeric) = 1.1435028517233628258479094026606
absolute error = 4e-31
relative error = 3.4980236332350514968504631484013e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.5MB, time=10.37
x[1] = 0.145
y2[1] (analytic) = 1.1444924297105264126333215285089
y2[1] (numeric) = 1.1444924297105264126333215285086
absolute error = 3e-31
relative error = 2.6212493172705235309007287963552e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1444924297105264126333215285089
y1[1] (numeric) = 1.1444924297105264126333215285086
absolute error = 3e-31
relative error = 2.6212493172705235309007287963552e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.5MB, time=10.58
x[1] = 0.146
y2[1] (analytic) = 1.1454818632052723299277288637166
y2[1] (numeric) = 1.1454818632052723299277288637163
absolute error = 3e-31
relative error = 2.6189851593157829110918930974284e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1454818632052723299277288637166
y1[1] (numeric) = 1.1454818632052723299277288637163
absolute error = 3e-31
relative error = 2.6189851593157829110918930974284e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.5MB, time=10.80
x[1] = 0.147
y2[1] (analytic) = 1.1464711512181671654380025942768
y2[1] (numeric) = 1.1464711512181671654380025942765
absolute error = 3e-31
relative error = 2.6167252414614979451325697530678e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1464711512181671654380025942768
y1[1] (numeric) = 1.1464711512181671654380025942765
absolute error = 3e-31
relative error = 2.6167252414614979451325697530678e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=194.5MB, alloc=4.5MB, time=11.02
x[1] = 0.148
y2[1] (analytic) = 1.1474602927599229887099722031298
y2[1] (numeric) = 1.1474602927599229887099722031295
absolute error = 3e-31
relative error = 2.6144695541353029081813945230311e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1474602927599229887099722031298
y1[1] (numeric) = 1.1474602927599229887099722031295
absolute error = 3e-31
relative error = 2.6144695541353029081813945230311e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=198.3MB, alloc=4.5MB, time=11.24
x[1] = 0.149
y2[1] (analytic) = 1.148449286841398340416273483676
y2[1] (numeric) = 1.1484492868413983404162734836757
absolute error = 3e-31
relative error = 2.6122180877929371938550286650090e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.148449286841398340416273483676
y1[1] (numeric) = 1.1484492868413983404162734836757
absolute error = 3e-31
relative error = 2.6122180877929371938550286650090e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=202.1MB, alloc=4.5MB, time=11.45
x[1] = 0.15
y2[1] (analytic) = 1.1494381324735992214977254386876
y2[1] (numeric) = 1.1494381324735992214977254386874
absolute error = 2e-31
relative error = 1.7399805552787651589749040948674e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1494381324735992214977254386876
y1[1] (numeric) = 1.1494381324735992214977254386874
absolute error = 2e-31
relative error = 1.7399805552787651589749040948674e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=205.9MB, alloc=4.5MB, time=11.67
x[1] = 0.151
y2[1] (analytic) = 1.1504268286676800821572469233262
y2[1] (numeric) = 1.150426828667680082157246923326
absolute error = 2e-31
relative error = 1.7384851866817278949332596443547e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1504268286676800821572469233262
y1[1] (numeric) = 1.150426828667680082157246923326
absolute error = 2e-31
relative error = 1.7384851866817278949332596443547e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.5MB, time=11.89
x[1] = 0.152
y2[1] (analytic) = 1.1514153744349448107053240384303
y2[1] (numeric) = 1.1514153744349448107053240384301
absolute error = 2e-31
relative error = 1.7369926130971602579104606219113e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1514153744349448107053240384303
y1[1] (numeric) = 1.1514153744349448107053240384301
absolute error = 2e-31
relative error = 1.7369926130971602579104606219113e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=213.6MB, alloc=4.5MB, time=12.11
x[1] = 0.153
y2[1] (analytic) = 1.1524037687868477222560394286898
y2[1] (numeric) = 1.1524037687868477222560394286896
absolute error = 2e-31
relative error = 1.7355028282365209627058239978425e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1524037687868477222560394286898
y1[1] (numeric) = 1.1524037687868477222560394286896
absolute error = 2e-31
relative error = 1.7355028282365209627058239978425e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=217.4MB, alloc=4.5MB, time=12.32
x[1] = 0.154
y2[1] (analytic) = 1.1533920107349945472726747897587
y2[1] (numeric) = 1.1533920107349945472726747897585
absolute error = 2e-31
relative error = 1.7340158258296828526934731859158e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1533920107349945472726747897587
y1[1] (numeric) = 1.1533920107349945472726747897585
absolute error = 2e-31
relative error = 1.7340158258296828526934731859158e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=221.2MB, alloc=4.5MB, time=12.54
x[1] = 0.155
y2[1] (analytic) = 1.1543800992911434199618980387873
y2[1] (numeric) = 1.1543800992911434199618980387871
absolute error = 2e-31
relative error = 1.7325315996248691609618243490126e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1543800992911434199618980387873
y1[1] (numeric) = 1.1543800992911434199618980387871
absolute error = 2e-31
relative error = 1.7325315996248691609618243490126e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=225.0MB, alloc=4.5MB, time=12.76
x[1] = 0.156
y2[1] (analytic) = 1.1553680334672058665155467542681
y2[1] (numeric) = 1.1553680334672058665155467542679
absolute error = 2e-31
relative error = 1.7310501433885900301486637527093e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1553680334672058665155467542681
y1[1] (numeric) = 1.1553680334672058665155467542679
absolute error = 2e-31
relative error = 1.7310501433885900301486637527093e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=228.8MB, alloc=4.5MB, time=12.98
x[1] = 0.157
y2[1] (analytic) = 1.1563558122752477931990196434946
y2[1] (numeric) = 1.1563558122752477931990196434944
absolute error = 2e-31
relative error = 1.7295714509055792897750513105435e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1563558122752477931990196434946
y1[1] (numeric) = 1.1563558122752477931990196434944
absolute error = 2e-31
relative error = 1.7295714509055792897750513105435e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=232.6MB, alloc=4.5MB, time=13.20
x[1] = 0.158
y2[1] (analytic) = 1.1573434347274904742852879493246
y2[1] (numeric) = 1.1573434347274904742852879493244
absolute error = 2e-31
relative error = 1.7280955159787314898875152978251e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1573434347274904742852879493246
y1[1] (numeric) = 1.1573434347274904742852879493244
absolute error = 2e-31
relative error = 1.7280955159787314898875152978251e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=236.5MB, alloc=4.5MB, time=13.41
x[1] = 0.159
y2[1] (analytic) = 1.1583308998363115398335388623175
y2[1] (numeric) = 1.1583308998363115398335388623173
absolute error = 2e-31
relative error = 1.7266223324290391898241970425430e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1583308998363115398335388623175
y1[1] (numeric) = 1.1583308998363115398335388623173
absolute error = 2e-31
relative error = 1.7266223324290391898241970425430e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=240.3MB, alloc=4.5MB, time=13.63
x[1] = 0.16
y2[1] (analytic) = 1.159318206614245963311463159686
y2[1] (numeric) = 1.1593182066142459633114631596857
absolute error = 3e-31
relative error = 2.5877278411432957513901436913893e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.159318206614245963311463159686
y1[1] (numeric) = 1.1593182066142459633114631596857
absolute error = 3e-31
relative error = 2.5877278411432957513901436913893e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=244.1MB, alloc=4.5MB, time=13.85
x[1] = 0.161
y2[1] (analytic) = 1.1603053540739870490601994488555
y2[1] (numeric) = 1.1603053540739870490601994488552
absolute error = 3e-31
relative error = 2.5855262922528103230390297280715e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1603053540739870490601994488555
y1[1] (numeric) = 1.1603053540739870490601994488552
absolute error = 3e-31
relative error = 2.5855262922528103230390297280715e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=247.9MB, alloc=4.5MB, time=14.06
x[1] = 0.162
y2[1] (analytic) = 1.1612923412283874196009475507708
y2[1] (numeric) = 1.1612923412283874196009475507705
absolute error = 3e-31
relative error = 2.5833288427844717798029054391444e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1612923412283874196009475507708
y1[1] (numeric) = 1.1612923412283874196009475507705
absolute error = 3e-31
relative error = 2.5833288427844717798029054391444e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=251.7MB, alloc=4.5MB, time=14.28
x[1] = 0.163
y2[1] (analytic) = 1.1622791670904600027822637164169
y2[1] (numeric) = 1.1622791670904600027822637164166
absolute error = 3e-31
relative error = 2.5811354835774239399872050079300e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1622791670904600027822637164169
y1[1] (numeric) = 1.1622791670904600027822637164166
absolute error = 3e-31
relative error = 2.5811354835774239399872050079300e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=255.5MB, alloc=4.5MB, time=14.50
x[1] = 0.164
y2[1] (analytic) = 1.1632658306733790187670505293435
y2[1] (numeric) = 1.1632658306733790187670505293432
absolute error = 3e-31
relative error = 2.5789462054974929803354491409453e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1632658306733790187670505293435
y1[1] (numeric) = 1.1632658306733790187670505293432
absolute error = 3e-31
relative error = 2.5789462054974929803354491409453e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=259.4MB, alloc=4.5MB, time=14.72
x[1] = 0.165
y2[1] (analytic) = 1.1642523309904809668582545072829
y2[1] (numeric) = 1.1642523309904809668582545072826
absolute error = 3e-31
relative error = 2.5767609994370956285008279293634e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1642523309904809668582545072829
y1[1] (numeric) = 1.1642523309904809668582545072826
absolute error = 3e-31
relative error = 2.5767609994370956285008279293634e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=263.2MB, alloc=4.5MB, time=14.94
x[1] = 0.166
y2[1] (analytic) = 1.1652386670552656121622845772482
y2[1] (numeric) = 1.1652386670552656121622845772479
absolute error = 3e-31
relative error = 2.5745798563151477260238023773691e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1652386670552656121622845772482
y1[1] (numeric) = 1.1652386670552656121622845772479
absolute error = 3e-31
relative error = 2.5745798563151477260238023773691e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=267.0MB, alloc=4.5MB, time=15.15
x[1] = 0.167
y2[1] (analytic) = 1.1662248378813969720891647607741
y2[1] (numeric) = 1.1662248378813969720891647607738
absolute error = 3e-31
relative error = 2.5724027670769731601116353933485e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1662248378813969720891647607741
y1[1] (numeric) = 1.1662248378813969720891647607738
absolute error = 3e-31
relative error = 2.5724027670769731601116353933485e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=270.8MB, alloc=4.5MB, time=15.38
x[1] = 0.168
y2[1] (analytic) = 1.1672108424827043026884345692303
y2[1] (numeric) = 1.1672108424827043026884345692301
absolute error = 2e-31
relative error = 1.7134864817961421083497219513653e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1672108424827043026884345692303
y1[1] (numeric) = 1.1672108424827043026884345692301
absolute error = 2e-31
relative error = 1.7134864817961421083497219513653e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=274.6MB, alloc=4.5MB, time=15.60
x[1] = 0.169
y2[1] (analytic) = 1.1681966798731830848198107733898
y2[1] (numeric) = 1.1681966798731830848198107733895
absolute error = 3e-31
relative error = 2.5680607141647359738822451472561e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1681966798731830848198107733898
y1[1] (numeric) = 1.1681966798731830848198107733895
absolute error = 3e-31
relative error = 2.5680607141647359738822451472561e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=278.4MB, alloc=4.5MB, time=15.81
x[1] = 0.17
y2[1] (analytic) = 1.1691823490669960101576243766708
y2[1] (numeric) = 1.1691823490669960101576243766706
absolute error = 2e-31
relative error = 1.7105971550083645811415309402222e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1691823490669960101576243766708
y1[1] (numeric) = 1.1691823490669960101576243766706
absolute error = 2e-31
relative error = 1.7105971550083645811415309402222e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=282.2MB, alloc=4.5MB, time=16.03
x[1] = 0.171
y2[1] (analytic) = 1.1701678490784739670280467877005
y2[1] (numeric) = 1.1701678490784739670280467877002
absolute error = 3e-31
relative error = 2.5637347687876985605724815879565e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1701678490784739670280467877005
y1[1] (numeric) = 1.1701678490784739670280467877002
absolute error = 3e-31
relative error = 2.5637347687876985605724815879565e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=286.1MB, alloc=4.5MB, time=16.25
x[1] = 0.172
y2[1] (analytic) = 1.1711531789221170260781193550527
y2[1] (numeric) = 1.1711531789221170260781193550524
absolute error = 3e-31
relative error = 2.5615778140662019225853854185400e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1711531789221170260781193550527
y1[1] (numeric) = 1.1711531789221170260781193550524
absolute error = 3e-31
relative error = 2.5615778140662019225853854185400e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=289.9MB, alloc=4.5MB, time=16.47
x[1] = 0.173
y2[1] (analytic) = 1.1721383376125954257756005952159
y2[1] (numeric) = 1.1721383376125954257756005952156
absolute error = 3e-31
relative error = 2.5594248594499371267340512344537e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1721383376125954257756005952159
y1[1] (numeric) = 1.1721383376125954257756005952156
absolute error = 3e-31
relative error = 2.5594248594499371267340512344537e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=293.7MB, alloc=4.5MB, time=16.69
x[1] = 0.174
y2[1] (analytic) = 1.1731233241647505577386456140236
y2[1] (numeric) = 1.1731233241647505577386456140233
absolute error = 3e-31
relative error = 2.5572758960665650952750460078644e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1731233241647505577386456140236
y1[1] (numeric) = 1.1731233241647505577386456140233
absolute error = 3e-31
relative error = 2.5572758960665650952750460078644e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=297.5MB, alloc=4.5MB, time=16.90
x[1] = 0.175
y2[1] (analytic) = 1.1741081375935959518943323919514
y2[1] (numeric) = 1.1741081375935959518943323919511
absolute error = 3e-31
relative error = 2.5551309150694393256340404609941e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1741081375935959518943323919514
y1[1] (numeric) = 1.1741081375935959518943323919511
absolute error = 3e-31
relative error = 2.5551309150694393256340404609941e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=301.3MB, alloc=4.5MB, time=17.12
x[1] = 0.176
y2[1] (analytic) = 1.1750927769143182614650497748359
y2[1] (numeric) = 1.1750927769143182614650497748356
absolute error = 3e-31
relative error = 2.5529899076375180661573963090126e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1750927769143182614650497748359
y1[1] (numeric) = 1.1750927769143182614650497748356
absolute error = 3e-31
relative error = 2.5529899076375180661573963090126e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=305.1MB, alloc=4.5MB, time=17.34
x[1] = 0.177
y2[1] (analytic) = 1.1760772411422782477817621837097
y2[1] (numeric) = 1.1760772411422782477817621837094
absolute error = 3e-31
relative error = 2.5508528649752768441016278506798e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1760772411422782477817621837097
y1[1] (numeric) = 1.1760772411422782477817621837094
absolute error = 3e-31
relative error = 2.5508528649752768441016278506798e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=308.9MB, alloc=4.5MB, time=17.55
x[1] = 0.178
y2[1] (analytic) = 1.1770615292930117649231662305697
y2[1] (numeric) = 1.1770615292930117649231662305694
absolute error = 3e-31
relative error = 2.5487197783126213442509323961888e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1770615292930117649231662305697
y1[1] (numeric) = 1.1770615292930117649231662305694
absolute error = 3e-31
relative error = 2.5487197783126213442509323961888e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=312.8MB, alloc=4.5MB, time=17.77
x[1] = 0.179
y2[1] (analytic) = 1.1780456403822307441797546010046
y2[1] (numeric) = 1.1780456403822307441797546010043
absolute error = 3e-31
relative error = 2.5465906389048006365612637242961e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1780456403822307441797546010046
y1[1] (numeric) = 1.1780456403822307441797546010043
absolute error = 3e-31
relative error = 2.5465906389048006365612637242961e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=316.6MB, alloc=4.5MB, time=17.99
x[1] = 0.18
y2[1] (analytic) = 1.1790295734258241783418027396992
y2[1] (numeric) = 1.1790295734258241783418027396989
absolute error = 3e-31
relative error = 2.5444654380323207512376551905900e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1790295734258241783418027396992
y1[1] (numeric) = 1.1790295734258241783418027396989
absolute error = 3e-31
relative error = 2.5444654380323207512376551905900e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=320.4MB, alloc=4.5MB, time=18.21
x[1] = 0.181
y2[1] (analytic) = 1.1800133274398591058102940509108
y2[1] (numeric) = 1.1800133274398591058102940509105
absolute error = 3e-31
relative error = 2.5423441670008585996596845623876e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1800133274398591058102940509108
y1[1] (numeric) = 1.1800133274398591058102940509105
absolute error = 3e-31
relative error = 2.5423441670008585996596845623876e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=324.2MB, alloc=4.5MB, time=18.42
x[1] = 0.182
y2[1] (analytic) = 1.1809969014405815945297995030755
y2[1] (numeric) = 1.1809969014405815945297995030751
absolute error = 4e-31
relative error = 3.3869690895215683194374819040120e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1809969014405815945297995030755
y1[1] (numeric) = 1.1809969014405815945297995030751
absolute error = 4e-31
relative error = 3.3869690895215683194374819040120e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=328.0MB, alloc=4.5MB, time=18.64
x[1] = 0.183
y2[1] (analytic) = 1.1819802944444177257423277047451
y2[1] (numeric) = 1.1819802944444177257423277047448
absolute error = 3e-31
relative error = 2.5381133798090354830138104117819e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1819802944444177257423277047451
y1[1] (numeric) = 1.1819802944444177257423277047448
absolute error = 3e-31
relative error = 2.5381133798090354830138104117819e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=331.8MB, alloc=4.5MB, time=18.86
x[1] = 0.184
y2[1] (analytic) = 1.1829635054679745775611616980887
y2[1] (numeric) = 1.1829635054679745775611616980884
absolute error = 3e-31
relative error = 2.5360038463851128452981697117760e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1829635054679745775611616980887
y1[1] (numeric) = 1.1829635054679745775611616980884
absolute error = 3e-31
relative error = 2.5360038463851128452981697117760e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=335.6MB, alloc=4.5MB, time=19.07
x[1] = 0.185
y2[1] (analytic) = 1.1839465335280412083636988962014
y2[1] (numeric) = 1.1839465335280412083636988962012
absolute error = 2e-31
relative error = 1.6892654721832765558014166358071e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1839465335280412083636988962014
y1[1] (numeric) = 1.1839465335280412083636988962012
absolute error = 2e-31
relative error = 1.6892654721832765558014166358071e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=339.5MB, alloc=4.5MB, time=19.29
x[1] = 0.186
y2[1] (analytic) = 1.1849293776415896400023107714653
y2[1] (numeric) = 1.1849293776415896400023107714651
absolute error = 2e-31
relative error = 1.6878643046057957160726355389694e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1849293776415896400023107714653
y1[1] (numeric) = 1.1849293776415896400023107714651
absolute error = 2e-31
relative error = 1.6878643046057957160726355389694e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=343.3MB, alloc=4.5MB, time=19.51
x[1] = 0.187
y2[1] (analytic) = 1.185912036825775840832239084182
y2[1] (numeric) = 1.1859120368257758408322390841817
absolute error = 3e-31
relative error = 2.5296985837413627741938625368719e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.185912036825775840832239084182
y1[1] (numeric) = 1.1859120368257758408322390841817
absolute error = 3e-31
relative error = 2.5296985837413627741938625368719e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=347.1MB, alloc=4.5MB, time=19.72
x[1] = 0.188
y2[1] (analytic) = 1.1868945100979407085555456236643
y2[1] (numeric) = 1.186894510097940708555545623664
absolute error = 3e-31
relative error = 2.5276045802524140215812743873119e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1868945100979407085555456236643
y1[1] (numeric) = 1.186894510097940708555545623664
absolute error = 3e-31
relative error = 2.5276045802524140215812743873119e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=350.9MB, alloc=4.5MB, time=19.94
x[1] = 0.189
y2[1] (analytic) = 1.187876796475611052880132617919
y2[1] (numeric) = 1.1878767964756110528801326179187
absolute error = 3e-31
relative error = 2.5255144379458334154585218586891e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.187876796475611052880132617919
y1[1] (numeric) = 1.1878767964756110528801326179187
absolute error = 3e-31
relative error = 2.5255144379458334154585218586891e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=354.7MB, alloc=4.5MB, time=20.16
x[1] = 0.19
y2[1] (analytic) = 1.1888588949765005779928511529813
y2[1] (numeric) = 1.188858894976500577992851152981
absolute error = 3e-31
relative error = 2.5234281483500185301324555349713e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1888588949765005779928511529813
y1[1] (numeric) = 1.188858894976500577992851152981
absolute error = 3e-31
relative error = 2.5234281483500185301324555349713e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=358.5MB, alloc=4.5MB, time=20.37
x[1] = 0.191
y2[1] (analytic) = 1.189840804618510864845715128875
y2[1] (numeric) = 1.1898408046185108648457151288747
absolute error = 3e-31
relative error = 2.5213457030176957090231857719656e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.189840804618510864845715128875
y1[1] (numeric) = 1.1898408046185108648457151288747
absolute error = 3e-31
relative error = 2.5213457030176957090231857719656e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=362.4MB, alloc=4.5MB, time=20.59
x[1] = 0.192
y2[1] (analytic) = 1.1908225244197323532542384660668
y2[1] (numeric) = 1.1908225244197323532542384660664
absolute error = 4e-31
relative error = 3.3590227913677835834625003332216e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1908225244197323532542384660668
y1[1] (numeric) = 1.1908225244197323532542384660664
absolute error = 4e-31
relative error = 3.3590227913677835834625003332216e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=366.2MB, alloc=4.5MB, time=20.81
x[1] = 0.193
y2[1] (analytic) = 1.1918040533984453238069134641578
y2[1] (numeric) = 1.1918040533984453238069134641574
absolute error = 4e-31
relative error = 3.3562564153007753916628540918767e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1918040533984453238069134641578
y1[1] (numeric) = 1.1918040533984453238069134641574
absolute error = 4e-31
relative error = 3.3562564153007753916628540918767e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=370.0MB, alloc=4.5MB, time=21.02
x[1] = 0.194
y2[1] (analytic) = 1.1927853905731208795848484034179
y2[1] (numeric) = 1.1927853905731208795848484034175
absolute error = 4e-31
relative error = 3.3534951313228626321896299065328e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1927853905731208795848484034179
y1[1] (numeric) = 1.1927853905731208795848484034175
absolute error = 4e-31
relative error = 3.3534951313228626321896299065328e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=373.8MB, alloc=4.5MB, time=21.24
TOP MAIN SOLVE Loop
x[1] = 0.195
y2[1] (analytic) = 1.1937665349624219276905826696054
y2[1] (numeric) = 1.193766534962421927690582669605
absolute error = 4e-31
relative error = 3.3507389282996731934168557094645e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1937665349624219276905826696054
y1[1] (numeric) = 1.193766534962421927690582669605
absolute error = 4e-31
relative error = 3.3507389282996731934168557094645e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=377.6MB, alloc=4.5MB, time=21.46
TOP MAIN SOLVE Loop
x[1] = 0.196
y2[1] (analytic) = 1.1947474855852041605850978733388
y2[1] (numeric) = 1.1947474855852041605850978733385
absolute error = 3e-31
relative error = 2.5109908463465463662615743950784e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1947474855852041605850978733388
y1[1] (numeric) = 1.1947474855852041605850978733385
absolute error = 3e-31
relative error = 2.5109908463465463662615743950784e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=381.4MB, alloc=4.5MB, time=21.68
TOP MAIN SOLVE Loop
x[1] = 0.197
y2[1] (analytic) = 1.1957282414605170372320436270931
y2[1] (numeric) = 1.1957282414605170372320436270927
absolute error = 4e-31
relative error = 3.3452417207393357818501985301949e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1957282414605170372320436270931
y1[1] (numeric) = 1.1957282414605170372320436270927
absolute error = 4e-31
relative error = 3.3452417207393357818501985301949e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=385.2MB, alloc=4.5MB, time=21.89
TOP MAIN SOLVE Loop
x[1] = 0.198
y2[1] (analytic) = 1.1967088016076047640481968356735
y2[1] (numeric) = 1.1967088016076047640481968356732
absolute error = 3e-31
relative error = 2.5068755205693607085173036790858e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1967088016076047640481968356735
y1[1] (numeric) = 1.1967088016076047640481968356732
absolute error = 3e-31
relative error = 2.5068755205693607085173036790858e-29 %
Correct digits = 30
h = 0.001
memory used=389.1MB, alloc=4.5MB, time=22.11
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=392.9MB, alloc=4.6MB, time=22.33
x[1] = 0.199
y2[1] (analytic) = 1.1976891650459072756591735497928
y2[1] (numeric) = 1.1976891650459072756591735497925
absolute error = 3e-31
relative error = 2.5048235281355412243512264345267e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1976891650459072756591735497928
y1[1] (numeric) = 1.1976891650459072756591735497925
absolute error = 3e-31
relative error = 2.5048235281355412243512264345267e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=396.7MB, alloc=4.6MB, time=22.55
x[1] = 0.2
y2[1] (analytic) = 1.1986693307950612154594126271184
y2[1] (numeric) = 1.1986693307950612154594126271181
absolute error = 3e-31
relative error = 2.5027753050210606656367468154235e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1986693307950612154594126271184
y1[1] (numeric) = 1.1986693307950612154594126271181
absolute error = 3e-31
relative error = 2.5027753050210606656367468154235e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=400.5MB, alloc=4.6MB, time=22.76
x[1] = 0.201
y2[1] (analytic) = 1.1996492978749009159754506408903
y2[1] (numeric) = 1.19964929787490091597545064089
absolute error = 3e-31
relative error = 2.5007308430174558713853578773341e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.1996492978749009159754506408903
y1[1] (numeric) = 1.19964929787490091597545064089
absolute error = 3e-31
relative error = 2.5007308430174558713853578773341e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=404.3MB, alloc=4.6MB, time=22.98
x[1] = 0.202
y2[1] (analytic) = 1.2006290653054593790315076729148
y2[1] (numeric) = 1.2006290653054593790315076729145
absolute error = 3e-31
relative error = 2.4986901339397040694618060575127e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2006290653054593790315076729148
y1[1] (numeric) = 1.2006290653054593790315076729145
absolute error = 3e-31
relative error = 2.4986901339397040694618060575127e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=408.1MB, alloc=4.6MB, time=23.20
x[1] = 0.203
y2[1] (analytic) = 1.2016086321069692557164038254306
y2[1] (numeric) = 1.2016086321069692557164038254304
absolute error = 2e-31
relative error = 1.6644354464174293474189416797530e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2016086321069692557164038254306
y1[1] (numeric) = 1.2016086321069692557164038254304
absolute error = 2e-31
relative error = 1.6644354464174293474189416797530e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=411.9MB, alloc=4.6MB, time=23.41
x[1] = 0.204
y2[1] (analytic) = 1.2025879972998638261508264850126
y2[1] (numeric) = 1.2025879972998638261508264850123
absolute error = 3e-31
relative error = 2.4946199419383974771354711258710e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2025879972998638261508264850126
y1[1] (numeric) = 1.2025879972998638261508264850123
absolute error = 3e-31
relative error = 2.4946199419383974771354711258710e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=415.8MB, alloc=4.6MB, time=23.63
x[1] = 0.205
y2[1] (analytic) = 1.2035671599047779790539685713266
y2[1] (numeric) = 1.2035671599047779790539685713264
absolute error = 2e-31
relative error = 1.6617269618408606293038068597985e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2035671599047779790539685713266
y1[1] (numeric) = 1.2035671599047779790539685713264
absolute error = 2e-31
relative error = 1.6617269618408606293038068597985e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=419.6MB, alloc=4.6MB, time=23.84
x[1] = 0.206
y2[1] (analytic) = 1.2045461189425491911085582041808
y2[1] (numeric) = 1.2045461189425491911085582041805
absolute error = 3e-31
relative error = 2.4905646640027777587679077758650e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2045461189425491911085582041808
y1[1] (numeric) = 1.2045461189425491911085582041805
absolute error = 3e-31
relative error = 2.4905646640027777587679077758650e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=423.4MB, alloc=4.6MB, time=24.06
x[1] = 0.207
y2[1] (analytic) = 1.2055248734342185061233004239223
y2[1] (numeric) = 1.2055248734342185061233004239221
absolute error = 2e-31
relative error = 1.6590283983959069812012062643576e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2055248734342185061233004239223
y1[1] (numeric) = 1.2055248734342185061233004239221
absolute error = 2e-31
relative error = 1.6590283983959069812012062643576e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=427.2MB, alloc=4.6MB, time=24.28
x[1] = 0.208
y2[1] (analytic) = 1.206503422401031513991751802823
y2[1] (numeric) = 1.2065034224010315139917518028228
absolute error = 2e-31
relative error = 1.6576828236590090231090165001699e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.206503422401031513991751802823
y1[1] (numeric) = 1.2065034224010315139917518028228
absolute error = 2e-31
relative error = 1.6576828236590090231090165001699e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=431.0MB, alloc=4.6MB, time=24.50
x[1] = 0.209
y2[1] (analytic) = 1.2074817648644393294466489886571
y2[1] (numeric) = 1.2074817648644393294466489886569
absolute error = 2e-31
relative error = 1.6563397131090708621783706063095e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2074817648644393294466489886571
y1[1] (numeric) = 1.2074817648644393294466489886569
absolute error = 2e-31
relative error = 1.6563397131090708621783706063095e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=434.8MB, alloc=4.6MB, time=24.71
x[1] = 0.21
y2[1] (analytic) = 1.2084598998460995706087124262276
y2[1] (numeric) = 1.2084598998460995706087124262274
absolute error = 2e-31
relative error = 1.6549990614125508560057056837875e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2084598998460995706087124262276
y1[1] (numeric) = 1.2084598998460995706087124262274
absolute error = 2e-31
relative error = 1.6549990614125508560057056837875e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=438.6MB, alloc=4.6MB, time=24.93
x[1] = 0.211
y2[1] (analytic) = 1.2094378263678773373289467081163
y2[1] (numeric) = 1.209437826367877337328946708116
absolute error = 3e-31
relative error = 2.4804912948766028318128394312890e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2094378263678773373289467081163
y1[1] (numeric) = 1.209437826367877337328946708116
absolute error = 3e-31
relative error = 2.4804912948766028318128394312890e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=442.5MB, alloc=4.6MB, time=25.14
x[1] = 0.212
y2[1] (analytic) = 1.2104155434518461893234592124401
y2[1] (numeric) = 1.2104155434518461893234592124398
absolute error = 3e-31
relative error = 2.4784876699820309487164607134986e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2104155434518461893234592124401
y1[1] (numeric) = 1.2104155434518461893234592124398
absolute error = 3e-31
relative error = 2.4784876699820309487164607134986e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=446.3MB, alloc=4.6MB, time=25.36
x[1] = 0.213
y2[1] (analytic) = 1.2113930501202891240998188928769
y2[1] (numeric) = 1.2113930501202891240998188928766
absolute error = 3e-31
relative error = 2.4764877095027955316236476580116e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2113930501202891240998188928769
y1[1] (numeric) = 1.2113930501202891240998188928766
absolute error = 3e-31
relative error = 2.4764877095027955316236476580116e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=450.1MB, alloc=4.6MB, time=25.58
x[1] = 0.214
y2[1] (analytic) = 1.212370345395699554673977294682
y2[1] (numeric) = 1.2123703453956995546739772946817
absolute error = 3e-31
relative error = 2.4744914055290958579059871443746e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.212370345395699554673977294682
y1[1] (numeric) = 1.2123703453956995546739772946817
absolute error = 3e-31
relative error = 2.4744914055290958579059871443746e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=453.9MB, alloc=4.6MB, time=25.79
x[1] = 0.215
y2[1] (analytic) = 1.2133474283007822870767740798571
y2[1] (numeric) = 1.2133474283007822870767740798568
absolute error = 3e-31
relative error = 2.4724987501735703775096542574159e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2133474283007822870767740798571
y1[1] (numeric) = 1.2133474283007822870767740798568
absolute error = 3e-31
relative error = 2.4724987501735703775096542574159e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=457.7MB, alloc=4.6MB, time=26.01
x[1] = 0.216
y2[1] (analytic) = 1.2143242978584544976490495550473
y2[1] (numeric) = 1.214324297858454497649049555047
absolute error = 3e-31
relative error = 2.4705097355712218002446182934138e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2143242978584544976490495550473
y1[1] (numeric) = 1.214324297858454497649049555047
absolute error = 3e-31
relative error = 2.4705097355712218002446182934138e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=461.5MB, alloc=4.6MB, time=26.23
x[1] = 0.217
y2[1] (analytic) = 1.2153009530918467101243869071349
y2[1] (numeric) = 1.2153009530918467101243869071346
absolute error = 3e-31
relative error = 2.4685243538793424769364552180713e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2153009530918467101243869071349
y1[1] (numeric) = 1.2153009530918467101243869071346
absolute error = 3e-31
relative error = 2.4685243538793424769364552180713e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=465.3MB, alloc=4.6MB, time=26.44
x[1] = 0.218
y2[1] (analytic) = 1.2162773930243037724985070638692
y2[1] (numeric) = 1.2162773930243037724985070638688
absolute error = 4e-31
relative error = 3.2887234630365867641707096089956e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2162773930243037724985070638692
y1[1] (numeric) = 1.2162773930243037724985070638688
absolute error = 4e-31
relative error = 3.2887234630365867641707096089956e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=469.2MB, alloc=4.6MB, time=26.66
x[1] = 0.219
y2[1] (analytic) = 1.2172536166793858336843393102186
y2[1] (numeric) = 1.2172536166793858336843393102182
absolute error = 4e-31
relative error = 3.2860859439562180453665751932447e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2172536166793858336843393102186
y1[1] (numeric) = 1.2172536166793858336843393102182
absolute error = 4e-31
relative error = 3.2860859439562180453665751932447e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=473.0MB, alloc=4.6MB, time=26.88
x[1] = 0.22
y2[1] (analytic) = 1.218229623080869319951791005457
y2[1] (numeric) = 1.2182296230808693199517910054567
absolute error = 3e-31
relative error = 2.4625899281722293393850446163784e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.218229623080869319951791005457
y1[1] (numeric) = 1.2182296230808693199517910054567
absolute error = 3e-31
relative error = 2.4625899281722293393850446163784e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=476.8MB, alloc=4.6MB, time=27.10
x[1] = 0.221
y2[1] (analytic) = 1.2192054112527479111512399612945
y2[1] (numeric) = 1.2192054112527479111512399612942
absolute error = 3e-31
relative error = 2.4606190001383480470592989336506e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2192054112527479111512399612945
y1[1] (numeric) = 1.2192054112527479111512399612942
absolute error = 3e-31
relative error = 2.4606190001383480470592989336506e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=480.6MB, alloc=4.6MB, time=27.31
x[1] = 0.222
y2[1] (analytic) = 1.220180980219233516719773257642
y2[1] (numeric) = 1.2201809802192335167197732576417
absolute error = 3e-31
relative error = 2.4586516661331511238969643960596e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.220180980219233516719773257642
y1[1] (numeric) = 1.2201809802192335167197732576417
absolute error = 3e-31
relative error = 2.4586516661331511238969643960596e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=484.4MB, alloc=4.6MB, time=27.53
x[1] = 0.223
y2[1] (analytic) = 1.221156329004757251469196489853
y2[1] (numeric) = 1.2211563290047572514691964898527
absolute error = 3e-31
relative error = 2.4566879184461180627354509157203e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.221156329004757251469196489853
y1[1] (numeric) = 1.2211563290047572514691964898527
absolute error = 3e-31
relative error = 2.4566879184461180627354509157203e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=488.2MB, alloc=4.6MB, time=27.75
x[1] = 0.224
y2[1] (analytic) = 1.2221314566339704111548376595133
y2[1] (numeric) = 1.222131456633970411154837659513
absolute error = 3e-31
relative error = 2.4547277493885037842009206559506e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2221314566339704111548376595133
y1[1] (numeric) = 1.222131456633970411154837659513
absolute error = 3e-31
relative error = 2.4547277493885037842009206559506e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=492.1MB, alloc=4.6MB, time=27.96
x[1] = 0.225
y2[1] (analytic) = 1.2231063621317454478241701400572
y2[1] (numeric) = 1.2231063621317454478241701400569
absolute error = 3e-31
relative error = 2.4527711512932663220524260972011e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2231063621317454478241701400572
y1[1] (numeric) = 1.2231063621317454478241701400569
absolute error = 3e-31
relative error = 2.4527711512932663220524260972011e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=495.9MB, alloc=4.6MB, time=28.18
x[1] = 0.226
y2[1] (analytic) = 1.2240810445231769449442793686679
y2[1] (numeric) = 1.2240810445231769449442793686676
absolute error = 3e-31
relative error = 2.4508181165149947908086322031029e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2240810445231769449442793686679
y1[1] (numeric) = 1.2240810445231769449442793686676
absolute error = 3e-31
relative error = 2.4508181165149947908086322031029e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=499.7MB, alloc=4.6MB, time=28.39
x[1] = 0.227
y2[1] (analytic) = 1.2250555028335825923071981370765
y2[1] (numeric) = 1.2250555028335825923071981370762
absolute error = 3e-31
relative error = 2.4488686374298376344024940701928e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2250555028335825923071981370765
y1[1] (numeric) = 1.2250555028335825923071981370762
absolute error = 3e-31
relative error = 2.4488686374298376344024940701928e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=503.5MB, alloc=4.6MB, time=28.61
x[1] = 0.228
y2[1] (analytic) = 1.2260297360885041607121355760063
y2[1] (numeric) = 1.226029736088504160712135576006
absolute error = 3e-31
relative error = 2.4469227064354311546155393252490e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2260297360885041607121355760063
y1[1] (numeric) = 1.226029736088504160712135576006
absolute error = 3e-31
relative error = 2.4469227064354311546155393252490e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=507.3MB, alloc=4.6MB, time=28.83
x[1] = 0.229
y2[1] (analytic) = 1.2270037433137084764236251511138
y2[1] (numeric) = 1.2270037433137084764236251511135
absolute error = 3e-31
relative error = 2.4449803159508283180496475482977e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2270037433137084764236251511138
y1[1] (numeric) = 1.2270037433137084764236251511135
absolute error = 3e-31
relative error = 2.4449803159508283180496475482977e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=511.1MB, alloc=4.6MB, time=29.05
x[1] = 0.23
y2[1] (analytic) = 1.2279775235351883954046172123601
y2[1] (numeric) = 1.2279775235351883954046172123598
absolute error = 3e-31
relative error = 2.4430414584164278404004273601661e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2279775235351883954046172123601
y1[1] (numeric) = 1.2279775235351883954046172123598
absolute error = 3e-31
relative error = 2.4430414584164278404004273601661e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=514.9MB, alloc=4.6MB, time=29.26
x[1] = 0.231
y2[1] (analytic) = 1.2289510757791637773235418638014
y2[1] (numeric) = 1.2289510757791637773235418638011
absolute error = 3e-31
relative error = 2.4411061262939035468024657324634e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2289510757791637773235418638014
y1[1] (numeric) = 1.2289510757791637773235418638011
absolute error = 3e-31
relative error = 2.4411061262939035468024657324634e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=518.8MB, alloc=4.6MB, time=29.48
x[1] = 0.232
y2[1] (analytic) = 1.2299243990720824593343681468164
y2[1] (numeric) = 1.2299243990720824593343681468162
absolute error = 2e-31
relative error = 1.6261162080440893380152425101279e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2299243990720824593343681468164
y1[1] (numeric) = 1.2299243990720824593343681468162
absolute error = 2e-31
relative error = 1.6261162080440893380152425101279e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=522.6MB, alloc=4.6MB, time=29.69
x[1] = 0.233
y2[1] (analytic) = 1.2308974924406212296286857567934
y2[1] (numeric) = 1.2308974924406212296286857567932
absolute error = 2e-31
relative error = 1.6248306721580882961903858943400e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2308974924406212296286857567934
y1[1] (numeric) = 1.2308974924406212296286857567932
absolute error = 2e-31
relative error = 1.6248306721580882961903858943400e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=526.4MB, alloc=4.6MB, time=29.91
x[1] = 0.234
y2[1] (analytic) = 1.2318703549116868007588357412751
y2[1] (numeric) = 1.2318703549116868007588357412749
absolute error = 2e-31
relative error = 1.6235474715546512776767766118889e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2318703549116868007588357412751
y1[1] (numeric) = 1.2318703549116868007588357412749
absolute error = 2e-31
relative error = 1.6235474715546512776767766118889e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=530.2MB, alloc=4.6MB, time=30.13
x[1] = 0.235
y2[1] (analytic) = 1.2328429855124167827311168565134
y2[1] (numeric) = 1.2328429855124167827311168565132
absolute error = 2e-31
relative error = 1.6222666012644938458630272975929e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2328429855124167827311168565134
y1[1] (numeric) = 1.2328429855124167827311168565132
absolute error = 2e-31
relative error = 1.6222666012644938458630272975929e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=534.0MB, alloc=4.6MB, time=30.34
x[1] = 0.236
y2[1] (analytic) = 1.2338153832701806558680944893074
y2[1] (numeric) = 1.2338153832701806558680944893072
absolute error = 2e-31
relative error = 1.6209880563322822372249481740872e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2338153832701806558680944893074
y1[1] (numeric) = 1.2338153832701806558680944893072
absolute error = 2e-31
relative error = 1.6209880563322822372249481740872e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=537.8MB, alloc=4.6MB, time=30.56
x[1] = 0.237
y2[1] (analytic) = 1.2347875472125807434390392818975
y2[1] (numeric) = 1.2347875472125807434390392818972
absolute error = 3e-31
relative error = 2.4295677477248810332820213897702e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2347875472125807434390392818975
y1[1] (numeric) = 1.2347875472125807434390392818972
absolute error = 3e-31
relative error = 2.4295677477248810332820213897702e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=541.6MB, alloc=4.6MB, time=30.77
x[1] = 0.238
y2[1] (analytic) = 1.2357594763674531840575228295574
y2[1] (numeric) = 1.2357594763674531840575228295571
absolute error = 3e-31
relative error = 2.4276568841847584166185633864967e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2357594763674531840575228295574
y1[1] (numeric) = 1.2357594763674531840575228295571
absolute error = 3e-31
relative error = 2.4276568841847584166185633864967e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=545.5MB, alloc=4.6MB, time=30.99
x[1] = 0.239
y2[1] (analytic) = 1.2367311697628689038451980533704
y2[1] (numeric) = 1.2367311697628689038451980533702
absolute error = 2e-31
relative error = 1.6171663243382799377127110748054e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2367311697628689038451980533704
y1[1] (numeric) = 1.2367311697628689038451980533702
absolute error = 2e-31
relative error = 1.6171663243382799377127110748054e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=549.3MB, alloc=4.6MB, time=31.20
x[1] = 0.24
y2[1] (analytic) = 1.2377026264271345883607920844898
y2[1] (numeric) = 1.2377026264271345883607920844896
absolute error = 2e-31
relative error = 1.6158970315619209864958087473642e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2377026264271345883607920844898
y1[1] (numeric) = 1.2377026264271345883607920844896
absolute error = 2e-31
relative error = 1.6158970315619209864958087473642e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=553.1MB, alloc=4.6MB, time=31.42
x[1] = 0.241
y2[1] (analytic) = 1.2386738453887936542933397309712
y2[1] (numeric) = 1.238673845388793654293339730971
absolute error = 2e-31
relative error = 1.6146300395744951622693157610260e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2386738453887936542933397309712
y1[1] (numeric) = 1.238673845388793654293339730971
absolute error = 2e-31
relative error = 1.6146300395744951622693157610260e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=556.9MB, alloc=4.6MB, time=31.64
x[1] = 0.242
y2[1] (analytic) = 1.2396448256766272209186858340254
y2[1] (numeric) = 1.2396448256766272209186858340252
absolute error = 2e-31
relative error = 1.6133653435034128354456405095355e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2396448256766272209186858340254
y1[1] (numeric) = 1.2396448256766272209186858340252
absolute error = 2e-31
relative error = 1.6133653435034128354456405095355e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=560.7MB, alloc=4.6MB, time=31.85
x[1] = 0.243
y2[1] (analytic) = 1.2406155663196550813182850572694
y2[1] (numeric) = 1.2406155663196550813182850572692
absolute error = 2e-31
relative error = 1.6121029384897167283355070408938e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2406155663196550813182850572694
y1[1] (numeric) = 1.2406155663196550813182850572692
absolute error = 2e-31
relative error = 1.6121029384897167283355070408938e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=564.5MB, alloc=4.6MB, time=32.07
x[1] = 0.244
y2[1] (analytic) = 1.2415860663471366733593278902572
y2[1] (numeric) = 1.2415860663471366733593278902571
absolute error = 1e-31
relative error = 8.0542140984401857094807921947445e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.2415860663471366733593278902572
y1[1] (numeric) = 1.2415860663471366733593278902571
absolute error = 1e-31
relative error = 8.0542140984401857094807921947445e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=568.3MB, alloc=4.6MB, time=32.28
x[1] = 0.245
y2[1] (analytic) = 1.2425563247885720504352218862454
y2[1] (numeric) = 1.2425563247885720504352218862453
absolute error = 1e-31
relative error = 8.0479249113327367773484065154574e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.2425563247885720504352218862454
y1[1] (numeric) = 1.2425563247885720504352218862453
absolute error = 1e-31
relative error = 8.0479249113327367773484065154574e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=572.2MB, alloc=4.6MB, time=32.50
x[1] = 0.246
y2[1] (analytic) = 1.2435263406737028519654573937924
y2[1] (numeric) = 1.2435263406737028519654573937923
absolute error = 1e-31
relative error = 8.0416471070345959937535564108913e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.2435263406737028519654573937924
y1[1] (numeric) = 1.2435263406737028519654573937923
absolute error = 1e-31
relative error = 8.0416471070345959937535564108913e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=576.0MB, alloc=4.6MB, time=32.71
x[1] = 0.247
y2[1] (analytic) = 1.2444961130325132736538872824077
y2[1] (numeric) = 1.2444961130325132736538872824076
absolute error = 1e-31
relative error = 8.0353806615213939761327330866801e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.2444961130325132736538872824077
y1[1] (numeric) = 1.2444961130325132736538872824076
absolute error = 1e-31
relative error = 8.0353806615213939761327330866801e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=579.8MB, alloc=4.6MB, time=32.93
x[1] = 0.248
y2[1] (analytic) = 1.2454656408952310375044504040511
y2[1] (numeric) = 1.245465640895231037504450404051
absolute error = 1e-31
relative error = 8.0291255508358123816822147229313e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.2454656408952310375044504040511
y1[1] (numeric) = 1.245465640895231037504450404051
absolute error = 1e-31
relative error = 8.0291255508358123816822147229313e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=583.6MB, alloc=4.6MB, time=33.15
x[1] = 0.249
y2[1] (analytic) = 1.2464349232923283615933687748402
y2[1] (numeric) = 1.2464349232923283615933687748401
absolute error = 1e-31
relative error = 8.0228817510873643280029416368130e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.2464349232923283615933687748402
y1[1] (numeric) = 1.2464349232923283615933687748401
absolute error = 1e-31
relative error = 8.0228817510873643280029416368130e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=587.4MB, alloc=4.6MB, time=33.36
x[1] = 0.25
y2[1] (analytic) = 1.2474039592545229295968487048494
y2[1] (numeric) = 1.2474039592545229295968487048492
absolute error = 2e-31
relative error = 1.6033298476904351319729627552716e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2474039592545229295968487048494
y1[1] (numeric) = 1.2474039592545229295968487048492
absolute error = 2e-31
relative error = 1.6033298476904351319729627552716e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=591.2MB, alloc=4.6MB, time=33.58
x[1] = 0.251
y2[1] (analytic) = 1.2483727478127788600733163483794
y2[1] (numeric) = 1.2483727478127788600733163483792
absolute error = 2e-31
relative error = 1.6020855978345534116759712823372e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2483727478127788600733163483794
y1[1] (numeric) = 1.2483727478127788600733163483792
absolute error = 2e-31
relative error = 1.6020855978345534116759712823372e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=595.1MB, alloc=4.6MB, time=33.79
x[1] = 0.252
y2[1] (analytic) = 1.2493412879983076754992183925442
y2[1] (numeric) = 1.249341287998307675499218392544
absolute error = 2e-31
relative error = 1.6008435959115673977784047081223e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2493412879983076754992183925442
y1[1] (numeric) = 1.249341287998307675499218392544
absolute error = 2e-31
relative error = 1.6008435959115673977784047081223e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=598.9MB, alloc=4.6MB, time=34.01
x[1] = 0.253
y2[1] (analytic) = 1.2503095788425692710574188484538
y2[1] (numeric) = 1.2503095788425692710574188484536
absolute error = 2e-31
relative error = 1.5996038371964090967819263503975e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2503095788425692710574188484538
y1[1] (numeric) = 1.2503095788425692710574188484536
absolute error = 2e-31
relative error = 1.5996038371964090967819263503975e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=602.7MB, alloc=4.6MB, time=34.22
TOP MAIN SOLVE Loop
x[1] = 0.254
y2[1] (analytic) = 1.2512776193772728831772231566772
y2[1] (numeric) = 1.251277619377272883177223156677
absolute error = 2e-31
relative error = 1.5983663169771597514849081394658e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2512776193772728831772231566772
y1[1] (numeric) = 1.251277619377272883177223156677
absolute error = 2e-31
relative error = 1.5983663169771597514849081394658e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=606.5MB, alloc=4.6MB, time=34.44
TOP MAIN SOLVE Loop
x[1] = 0.255
y2[1] (analytic) = 1.252245408634378057825061067043
y2[1] (numeric) = 1.2522454086343780578250610670428
absolute error = 2e-31
relative error = 1.5971310305550069293960441021086e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.252245408634378057825061067043
y1[1] (numeric) = 1.2522454086343780578250610670428
absolute error = 2e-31
relative error = 1.5971310305550069293960441021086e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=610.3MB, alloc=4.6MB, time=34.65
TOP MAIN SOLVE Loop
x[1] = 0.256
y2[1] (analytic) = 1.2532129456460956185448600021744
y2[1] (numeric) = 1.2532129456460956185448600021742
absolute error = 2e-31
relative error = 1.5958979732442017759737544168630e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2532129456460956185448600021744
y1[1] (numeric) = 1.2532129456460956185448600021742
absolute error = 2e-31
relative error = 1.5958979732442017759737544168630e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=614.1MB, alloc=4.6MB, time=34.87
TOP MAIN SOLVE Loop
x[1] = 0.257
y2[1] (analytic) = 1.2541802294448886342471408644664
y2[1] (numeric) = 1.2541802294448886342471408644662
absolute error = 2e-31
relative error = 1.5946671403720164319709587306428e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2541802294448886342471408644664
y1[1] (numeric) = 1.2541802294448886342471408644662
absolute error = 2e-31
relative error = 1.5946671403720164319709587306428e-29 %
Correct digits = 30
h = 0.001
memory used=617.9MB, alloc=4.6MB, time=35.09
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=621.8MB, alloc=4.6MB, time=35.31
x[1] = 0.258
y2[1] (analytic) = 1.2551472590634733867458684974902
y2[1] (numeric) = 1.2551472590634733867458684974899
absolute error = 3e-31
relative error = 2.3901577909180524212525151712267e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2551472590634733867458684974902
y1[1] (numeric) = 1.2551472590634733867458684974899
absolute error = 3e-31
relative error = 2.3901577909180524212525151712267e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=625.6MB, alloc=4.6MB, time=35.52
x[1] = 0.259
y2[1] (analytic) = 1.256114033534820338042089265054
y2[1] (numeric) = 1.2561140335348203380420892650537
absolute error = 3e-31
relative error = 2.3883181939761665381741615258349e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.256114033534820338042089265054
y1[1] (numeric) = 1.2561140335348203380420892650537
absolute error = 3e-31
relative error = 2.3883181939761665381741615258349e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=629.4MB, alloc=4.6MB, time=35.74
x[1] = 0.26
y2[1] (analytic) = 1.2570805518921550973533884643652
y2[1] (numeric) = 1.2570805518921550973533884643649
absolute error = 3e-31
relative error = 2.3864819127814888902615199723276e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2570805518921550973533884643652
y1[1] (numeric) = 1.2570805518921550973533884643649
absolute error = 3e-31
relative error = 2.3864819127814888902615199723276e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=633.2MB, alloc=4.6MB, time=35.95
x[1] = 0.261
y2[1] (analytic) = 1.2580468131689593878882005439147
y2[1] (numeric) = 1.2580468131689593878882005439143
absolute error = 4e-31
relative error = 3.1795319205365597416247722522162e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2580468131689593878882005439147
y1[1] (numeric) = 1.2580468131689593878882005439143
absolute error = 4e-31
relative error = 3.1795319205365597416247722522162e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=637.0MB, alloc=4.6MB, time=36.17
x[1] = 0.262
y2[1] (analytic) = 1.2590128163989720133640053518554
y2[1] (numeric) = 1.2590128163989720133640053518551
absolute error = 3e-31
relative error = 2.3828192699265753926962764822421e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2590128163989720133640053518554
y1[1] (numeric) = 1.2590128163989720133640053518551
absolute error = 3e-31
relative error = 2.3828192699265753926962764822421e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=640.8MB, alloc=4.6MB, time=36.39
x[1] = 0.263
y2[1] (analytic) = 1.2599785606161898242684438967593
y2[1] (numeric) = 1.2599785606161898242684438967589
absolute error = 4e-31
relative error = 3.1746571926143001531474019217348e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2599785606161898242684438967593
y1[1] (numeric) = 1.2599785606161898242684438967589
absolute error = 4e-31
relative error = 3.1746571926143001531474019217348e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=644.6MB, alloc=4.6MB, time=36.60
x[1] = 0.264
y2[1] (analytic) = 1.2609440448548686838623873597158
y2[1] (numeric) = 1.2609440448548686838623873597154
absolute error = 4e-31
relative error = 3.1722264095076394876017968606060e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2609440448548686838623873597158
y1[1] (numeric) = 1.2609440448548686838623873597154
absolute error = 4e-31
relative error = 3.1722264095076394876017968606060e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=648.5MB, alloc=4.6MB, time=36.81
x[1] = 0.265
y2[1] (analytic) = 1.2619092681495244339239933547858
y2[1] (numeric) = 1.2619092681495244339239933547854
absolute error = 4e-31
relative error = 3.1698000014419716973915717862951e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2619092681495244339239933547858
y1[1] (numeric) = 1.2619092681495244339239933547854
absolute error = 4e-31
relative error = 3.1698000014419716973915717862951e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=652.3MB, alloc=4.6MB, time=37.03
x[1] = 0.266
y2[1] (analytic) = 1.2628742295349338602327836938334
y2[1] (numeric) = 1.262874229534933860232783693833
absolute error = 4e-31
relative error = 3.1673779593024399909692898856989e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2628742295349338602327836938334
y1[1] (numeric) = 1.262874229534933860232783693833
absolute error = 4e-31
relative error = 3.1673779593024399909692898856989e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=656.1MB, alloc=4.6MB, time=37.24
x[1] = 0.267
y2[1] (analytic) = 1.2638389280461356577927781717389
y2[1] (numeric) = 1.2638389280461356577927781717385
absolute error = 4e-31
relative error = 3.1649602739993956538985689830381e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2638389280461356577927781717389
y1[1] (numeric) = 1.2638389280461356577927781717385
absolute error = 4e-31
relative error = 3.1649602739993956538985689830381e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=659.9MB, alloc=4.6MB, time=37.46
x[1] = 0.268
y2[1] (analytic) = 1.2648033627184313957937191489395
y2[1] (numeric) = 1.2648033627184313957937191489392
absolute error = 3e-31
relative error = 2.3719102023512373005752950860677e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2648033627184313957937191489395
y1[1] (numeric) = 1.2648033627184313957937191489392
absolute error = 3e-31
relative error = 2.3719102023512373005752950860677e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=663.7MB, alloc=4.6MB, time=37.67
x[1] = 0.269
y2[1] (analytic) = 1.265767532587386482309421970154
y2[1] (numeric) = 1.2657675325873864823094219701537
absolute error = 3e-31
relative error = 2.3701034532522937789217377546026e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.265767532587386482309421970154
y1[1] (numeric) = 1.2657675325873864823094219701537
absolute error = 3e-31
relative error = 2.3701034532522937789217377546026e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=667.5MB, alloc=4.6MB, time=37.89
x[1] = 0.27
y2[1] (analytic) = 1.2667314366888311287322865210205
y2[1] (numeric) = 1.2667314366888311287322865210202
absolute error = 3e-31
relative error = 2.3682999514418313301192155511596e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2667314366888311287322865210205
y1[1] (numeric) = 1.2667314366888311287322865210202
absolute error = 3e-31
relative error = 2.3682999514418313301192155511596e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=671.3MB, alloc=4.6MB, time=38.11
x[1] = 0.271
y2[1] (analytic) = 1.267695074058861313943005488217
y2[1] (numeric) = 1.2676950740588613139430054882167
absolute error = 3e-31
relative error = 2.3664996901776276199290725013613e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.267695074058861313943005488217
y1[1] (numeric) = 1.2676950740588613139430054882167
absolute error = 3e-31
relative error = 2.3664996901776276199290725013613e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=675.2MB, alloc=4.6MB, time=38.33
x[1] = 0.272
y2[1] (analytic) = 1.2686584437338397482145051534362
y2[1] (numeric) = 1.2686584437338397482145051534359
absolute error = 3e-31
relative error = 2.3647026627360625174790232993860e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2686584437338397482145051534362
y1[1] (numeric) = 1.2686584437338397482145051534359
absolute error = 3e-31
relative error = 2.3647026627360625174790232993860e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=679.0MB, alloc=4.6MB, time=38.54
x[1] = 0.273
y2[1] (analytic) = 1.2696215447503968368491548173544
y2[1] (numeric) = 1.2696215447503968368491548173541
absolute error = 3e-31
relative error = 2.3629088624120580170961220647308e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2696215447503968368491548173544
y1[1] (numeric) = 1.2696215447503968368491548173541
absolute error = 3e-31
relative error = 2.3629088624120580170961220647308e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=682.8MB, alloc=4.6MB, time=38.76
x[1] = 0.274
y2[1] (analytic) = 1.2705843761454316435482812164654
y2[1] (numeric) = 1.2705843761454316435482812164652
absolute error = 2e-31
relative error = 1.5740788550126789258117789483576e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2705843761454316435482812164654
y1[1] (numeric) = 1.2705843761454316435482812164652
absolute error = 2e-31
relative error = 1.5740788550126789258117789483576e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=686.6MB, alloc=4.6MB, time=38.97
x[1] = 0.275
y2[1] (analytic) = 1.2715469369561128535130245633453
y2[1] (numeric) = 1.271546936956112853513024563345
absolute error = 3e-31
relative error = 2.3593309163887705558908549904110e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2715469369561128535130245633453
y1[1] (numeric) = 1.271546936956112853513024563345
absolute error = 3e-31
relative error = 2.3593309163887705558908549904110e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=690.4MB, alloc=4.6MB, time=39.19
x[1] = 0.276
y2[1] (analytic) = 1.2725092262198797362755731095714
y2[1] (numeric) = 1.2725092262198797362755731095711
absolute error = 3e-31
relative error = 2.3575467573715047003767821811215e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2725092262198797362755731095714
y1[1] (numeric) = 1.2725092262198797362755731095711
absolute error = 3e-31
relative error = 2.3575467573715047003767821811215e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=694.2MB, alloc=4.6MB, time=39.41
x[1] = 0.277
y2[1] (analytic) = 1.2734712429744431082598134001431
y2[1] (numeric) = 1.2734712429744431082598134001428
absolute error = 3e-31
relative error = 2.3557657988357150923792619746046e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2734712429744431082598134001431
y1[1] (numeric) = 1.2734712429744431082598134001428
absolute error = 3e-31
relative error = 2.3557657988357150923792619746046e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=698.0MB, alloc=4.6MB, time=39.62
x[1] = 0.278
y2[1] (analytic) = 1.2744329862577862950704336588324
y2[1] (numeric) = 1.2744329862577862950704336588321
absolute error = 3e-31
relative error = 2.3539880341681411454236021296690e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2744329862577862950704336588324
y1[1] (numeric) = 1.2744329862577862950704336588321
absolute error = 3e-31
relative error = 2.3539880341681411454236021296690e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=701.9MB, alloc=4.6MB, time=39.84
x[1] = 0.279
y2[1] (analytic) = 1.2753944551081660935095180154422
y2[1] (numeric) = 1.2753944551081660935095180154419
absolute error = 3e-31
relative error = 2.3522134567737086949153063496415e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2753944551081660935095180154422
y1[1] (numeric) = 1.2753944551081660935095180154419
absolute error = 3e-31
relative error = 2.3522134567737086949153063496415e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=705.7MB, alloc=4.6MB, time=40.05
x[1] = 0.28
y2[1] (analytic) = 1.2763556485641137333196695584578
y2[1] (numeric) = 1.2763556485641137333196695584576
absolute error = 2e-31
relative error = 1.5669613733836476662755628934786e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2763556485641137333196695584578
y1[1] (numeric) = 1.2763556485641137333196695584576
absolute error = 2e-31
relative error = 1.5669613733836476662755628934786e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=709.5MB, alloc=4.6MB, time=40.27
x[1] = 0.281
y2[1] (analytic) = 1.2773165656644358386527004700495
y2[1] (numeric) = 1.2773165656644358386527004700492
absolute error = 3e-31
relative error = 2.3486738375145529636573386540699e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2773165656644358386527004700495
y1[1] (numeric) = 1.2773165656644358386527004700492
absolute error = 3e-31
relative error = 2.3486738375145529636573386540699e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=713.3MB, alloc=4.6MB, time=40.49
x[1] = 0.282
y2[1] (analytic) = 1.2782772054482153892629277748141
y2[1] (numeric) = 1.2782772054482153892629277748138
absolute error = 3e-31
relative error = 2.3469087825500880823926828565159e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2782772054482153892629277748141
y1[1] (numeric) = 1.2782772054482153892629277748138
absolute error = 3e-31
relative error = 2.3469087825500880823926828565159e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=717.1MB, alloc=4.6MB, time=40.71
x[1] = 0.283
y2[1] (analytic) = 1.2792375669548126814241135090431
y2[1] (numeric) = 1.2792375669548126814241135090429
absolute error = 2e-31
relative error = 1.5634312591061104026948320133008e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2792375669548126814241135090431
y1[1] (numeric) = 1.2792375669548126814241135090429
absolute error = 2e-31
relative error = 1.5634312591061104026948320133008e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=720.9MB, alloc=4.6MB, time=40.92
x[1] = 0.284
y2[1] (analytic) = 1.2801976492238662885690883936544
y2[1] (numeric) = 1.2801976492238662885690883936542
absolute error = 2e-31
relative error = 1.5622587662245136088519680073538e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2801976492238662885690883936544
y1[1] (numeric) = 1.2801976492238662885690883936542
absolute error = 2e-31
relative error = 1.5622587662245136088519680073538e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=724.8MB, alloc=4.6MB, time=41.14
x[1] = 0.285
y2[1] (analytic) = 1.2811574512952940216510983712452
y2[1] (numeric) = 1.281157451295294021651098371245
absolute error = 2e-31
relative error = 1.5610883720638174210333724146702e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2811574512952940216510983712452
y1[1] (numeric) = 1.281157451295294021651098371245
absolute error = 2e-31
relative error = 1.5610883720638174210333724146702e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=728.6MB, alloc=4.6MB, time=41.36
x[1] = 0.286
y2[1] (analytic) = 1.2821169722092938892259136459998
y2[1] (numeric) = 1.2821169722092938892259136459996
absolute error = 2e-31
relative error = 1.5599200723110919564244276423160e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2821169722092938892259136459998
y1[1] (numeric) = 1.2821169722092938892259136459996
absolute error = 2e-31
relative error = 1.5599200723110919564244276423160e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=732.4MB, alloc=4.6MB, time=41.57
x[1] = 0.287
y2[1] (analytic) = 1.2830762110063450572537401444227
y2[1] (numeric) = 1.2830762110063450572537401444225
absolute error = 2e-31
relative error = 1.5587538626652237241867938843113e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2830762110063450572537401444227
y1[1] (numeric) = 1.2830762110063450572537401444225
absolute error = 2e-31
relative error = 1.5587538626652237241867938843113e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=736.2MB, alloc=4.6MB, time=41.79
x[1] = 0.288
y2[1] (analytic) = 1.2840351667272088086199735950659
y2[1] (numeric) = 1.2840351667272088086199735950657
absolute error = 2e-31
relative error = 1.5575897388368777913219070550803e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2840351667272088086199735950659
y1[1] (numeric) = 1.2840351667272088086199735950657
absolute error = 2e-31
relative error = 1.5575897388368777913219070550803e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=740.0MB, alloc=4.6MB, time=42.00
x[1] = 0.289
y2[1] (analytic) = 1.284993838412929502373836706576
y2[1] (numeric) = 1.2849938384129295023738367065759
absolute error = 1e-31
relative error = 7.7821384827423004567878225557199e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.284993838412929502373836706576
y1[1] (numeric) = 1.2849938384129295023738367065759
absolute error = 1e-31
relative error = 7.7821384827423004567878225557199e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=743.8MB, alloc=4.6MB, time=42.22
x[1] = 0.29
y2[1] (analytic) = 1.2859522251048355326839402055044
y2[1] (numeric) = 1.2859522251048355326839402055042
absolute error = 2e-31
relative error = 1.5552677315340798752445732797177e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2859522251048355326839402055044
y1[1] (numeric) = 1.2859522251048355326839402055042
absolute error = 2e-31
relative error = 1.5552677315340798752445732797177e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=747.6MB, alloc=4.6MB, time=42.44
x[1] = 0.291
y2[1] (analytic) = 1.286910325844540287509808778398
y2[1] (numeric) = 1.2869103258445402875098087783978
absolute error = 2e-31
relative error = 1.5541098395395123038533998025633e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.286910325844540287509808778398
y1[1] (numeric) = 1.2869103258445402875098087783978
absolute error = 2e-31
relative error = 1.5541098395395123038533998025633e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=751.5MB, alloc=4.6MB, time=42.65
x[1] = 0.292
y2[1] (analytic) = 1.287868139673943106988413246727
y2[1] (numeric) = 1.2878681396739431069884132467268
absolute error = 2e-31
relative error = 1.5529540163221611814637085881360e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.287868139673943106988413246727
y1[1] (numeric) = 1.2878681396739431069884132467268
absolute error = 2e-31
relative error = 1.5529540163221611814637085881360e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=755.3MB, alloc=4.6MB, time=42.87
x[1] = 0.293
y2[1] (analytic) = 1.2888256656352302415347505881947
y2[1] (numeric) = 1.2888256656352302415347505881945
absolute error = 2e-31
relative error = 1.5518002576510218296426097386261e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2888256656352302415347505881947
y1[1] (numeric) = 1.2888256656352302415347505881945
absolute error = 2e-31
relative error = 1.5518002576510218296426097386261e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=759.1MB, alloc=4.6MB, time=43.09
x[1] = 0.294
y2[1] (analytic) = 1.2897829027708758096555137039305
y2[1] (numeric) = 1.2897829027708758096555137039304
absolute error = 1e-31
relative error = 7.7532427965332205045517608707999e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.2897829027708758096555137039305
y1[1] (numeric) = 1.2897829027708758096555137039304
absolute error = 1e-31
relative error = 7.7532427965332205045517608707999e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=762.9MB, alloc=4.6MB, time=43.30
x[1] = 0.295
y2[1] (analytic) = 1.2907398501236427554748931179768
y2[1] (numeric) = 1.2907398501236427554748931179767
absolute error = 1e-31
relative error = 7.7474945854054776579755030342523e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.2907398501236427554748931179768
y1[1] (numeric) = 1.2907398501236427554748931179767
absolute error = 1e-31
relative error = 7.7474945854054776579755030342523e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=766.7MB, alloc=4.6MB, time=43.52
x[1] = 0.296
y2[1] (analytic) = 1.291696506736583805971553083346
y2[1] (numeric) = 1.2916965067365838059715530833458
absolute error = 2e-31
relative error = 1.5483513267779246332813200146416e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.291696506736583805971553083346
y1[1] (numeric) = 1.2916965067365838059715530833458
absolute error = 2e-31
relative error = 1.5483513267779246332813200146416e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=770.5MB, alloc=4.6MB, time=43.73
x[1] = 0.297
y2[1] (analytic) = 1.2926528716530424279258248577527
y2[1] (numeric) = 1.2926528716530424279258248577525
absolute error = 2e-31
relative error = 1.5472057842121243222591616204160e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2926528716530424279258248577527
y1[1] (numeric) = 1.2926528716530424279258248577525
absolute error = 2e-31
relative error = 1.5472057842121243222591616204160e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=774.3MB, alloc=4.6MB, time=43.95
x[1] = 0.298
y2[1] (analytic) = 1.2936089439166537845761602019079
y2[1] (numeric) = 1.2936089439166537845761602019077
absolute error = 2e-31
relative error = 1.5460622852100954863850992865275e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2936089439166537845761602019079
y1[1] (numeric) = 1.2936089439166537845761602019077
absolute error = 2e-31
relative error = 1.5460622852100954863850992865275e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=778.2MB, alloc=4.6MB, time=44.16
x[1] = 0.299
y2[1] (analytic) = 1.2945647225713456919838884439998
y2[1] (numeric) = 1.2945647225713456919838884439996
absolute error = 2e-31
relative error = 1.5449208256096106887669048790699e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2945647225713456919838884439998
y1[1] (numeric) = 1.2945647225713456919838884439996
absolute error = 2e-31
relative error = 1.5449208256096106887669048790699e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=782.0MB, alloc=4.6MB, time=44.38
x[1] = 0.3
y2[1] (analytic) = 1.295520206661339575105320745685
y2[1] (numeric) = 1.2955202066613395751053207456848
absolute error = 2e-31
relative error = 1.5437814012597780076888756295055e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.295520206661339575105320745685
y1[1] (numeric) = 1.2955202066613395751053207456848
absolute error = 2e-31
relative error = 1.5437814012597780076888756295055e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=785.8MB, alloc=4.6MB, time=44.60
x[1] = 0.301
y2[1] (analytic) = 1.2964753952311514235702454975658
y2[1] (numeric) = 1.2964753952311514235702454975656
absolute error = 2e-31
relative error = 1.5426440080210050121960359129067e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2964753952311514235702454975658
y1[1] (numeric) = 1.2964753952311514235702454975656
absolute error = 2e-31
relative error = 1.5426440080210050121960359129067e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=789.6MB, alloc=4.6MB, time=44.82
x[1] = 0.302
y2[1] (analytic) = 1.2974302873255927471658590657366
y2[1] (numeric) = 1.2974302873255927471658590657364
absolute error = 2e-31
relative error = 1.5415086417649628727588302605714e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2974302873255927471658590657366
y1[1] (numeric) = 1.2974302873255927471658590657364
absolute error = 2e-31
relative error = 1.5415086417649628727588302605714e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=793.4MB, alloc=4.6MB, time=45.03
x[1] = 0.303
y2[1] (analytic) = 1.2983848819897715310251764055494
y2[1] (numeric) = 1.2983848819897715310251764055492
absolute error = 2e-31
relative error = 1.5403752983745506064426039181630e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2983848819897715310251764055494
y1[1] (numeric) = 1.2983848819897715310251764055492
absolute error = 2e-31
relative error = 1.5403752983745506064426039181630e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=797.2MB, alloc=4.6MB, time=45.25
x[1] = 0.304
y2[1] (analytic) = 1.2993391782690931905189663542671
y2[1] (numeric) = 1.2993391782690931905189663542669
absolute error = 2e-31
relative error = 1.5392439737438594560089319362380e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.2993391782690931905189663542671
y1[1] (numeric) = 1.2993391782690931905189663542669
absolute error = 2e-31
relative error = 1.5392439737438594560089319362380e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=801.0MB, alloc=4.6MB, time=45.47
x[1] = 0.305
y2[1] (analytic) = 1.3002931752092615258502567107484
y2[1] (numeric) = 1.3002931752092615258502567107482
absolute error = 2e-31
relative error = 1.5381146637781374023786077249393e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3002931752092615258502567107484
y1[1] (numeric) = 1.3002931752092615258502567107482
absolute error = 2e-31
relative error = 1.5381146637781374023786077249393e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=804.9MB, alloc=4.6MB, time=45.69
x[1] = 0.306
y2[1] (analytic) = 1.3012468718562796763504545077395
y2[1] (numeric) = 1.3012468718562796763504545077393
absolute error = 2e-31
relative error = 1.5369873643937538098888373050729e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3012468718562796763504545077395
y1[1] (numeric) = 1.3012468718562796763504545077393
absolute error = 2e-31
relative error = 1.5369873643937538098888373050729e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=808.7MB, alloc=4.6MB, time=45.90
x[1] = 0.307
y2[1] (analytic) = 1.3022002672564510744761271807312
y2[1] (numeric) = 1.3022002672564510744761271807309
absolute error = 3e-31
relative error = 2.3037931072772463056698593442943e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3022002672564510744761271807312
y1[1] (numeric) = 1.3022002672564510744761271807309
absolute error = 3e-31
relative error = 2.3037931072772463056698593442943e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=812.5MB, alloc=4.6MB, time=46.12
x[1] = 0.308
y2[1] (analytic) = 1.30315336045638039950549063668
y2[1] (numeric) = 1.3031533604563803995054906366797
absolute error = 3e-31
relative error = 2.3021081716348127690239386259163e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.30315336045638039950549063668
y1[1] (numeric) = 1.3031533604563803995054906366797
absolute error = 3e-31
relative error = 2.3021081716348127690239386259163e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=816.3MB, alloc=4.6MB, time=46.33
x[1] = 0.309
y2[1] (analytic) = 1.3041061505029745309336505261852
y2[1] (numeric) = 1.3041061505029745309336505261849
absolute error = 3e-31
relative error = 2.3004262335876141633208350324420e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3041061505029745309336505261852
y1[1] (numeric) = 1.3041061505029745309336505261849
absolute error = 3e-31
relative error = 2.3004262335876141633208350324420e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=820.1MB, alloc=4.6MB, time=46.55
x[1] = 0.31
y2[1] (analytic) = 1.305058636443443501565643323959
y2[1] (numeric) = 1.3050586364434435015656433239587
absolute error = 3e-31
relative error = 2.2987472870764064686855305439498e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.305058636443443501565643323959
y1[1] (numeric) = 1.3050586364434435015656433239587
absolute error = 3e-31
relative error = 2.2987472870764064686855305439498e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=823.9MB, alloc=4.6MB, time=46.77
x[1] = 0.311
y2[1] (analytic) = 1.3060108173253014503063241246284
y2[1] (numeric) = 1.3060108173253014503063241246282
absolute error = 2e-31
relative error = 1.5313808840389103587729026405876e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3060108173253014503063241246284
y1[1] (numeric) = 1.3060108173253014503063241246282
absolute error = 2e-31
relative error = 1.5313808840389103587729026405876e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=827.8MB, alloc=4.6MB, time=46.99
x[1] = 0.312
y2[1] (analytic) = 1.3069626921963675746461483640617
y2[1] (numeric) = 1.3069626921963675746461483640614
absolute error = 3e-31
relative error = 2.2953983445070352430858595451090e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3069626921963675746461483640617
y1[1] (numeric) = 1.3069626921963675746461483640614
absolute error = 3e-31
relative error = 2.2953983445070352430858595451090e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=831.6MB, alloc=4.6MB, time=47.21
TOP MAIN SOLVE Loop
x[1] = 0.313
y2[1] (analytic) = 1.3079142601047670828418949805147
y2[1] (numeric) = 1.3079142601047670828418949805144
absolute error = 3e-31
relative error = 2.2937283364122758118428138715486e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3079142601047670828418949805147
y1[1] (numeric) = 1.3079142601047670828418949805144
absolute error = 3e-31
relative error = 2.2937283364122758118428138715486e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=835.4MB, alloc=4.6MB, time=47.43
TOP MAIN SOLVE Loop
x[1] = 0.314
y2[1] (analytic) = 1.3088655200989321457913788349557
y2[1] (numeric) = 1.3088655200989321457913788349554
absolute error = 3e-31
relative error = 2.2920612957802123611011583104880e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3088655200989321457913788349557
y1[1] (numeric) = 1.3088655200989321457913788349554
absolute error = 3e-31
relative error = 2.2920612957802123611011583104880e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=839.2MB, alloc=4.6MB, time=47.64
TOP MAIN SOLVE Loop
x[1] = 0.315
y2[1] (analytic) = 1.309816471227602848601200515934
y2[1] (numeric) = 1.3098164712276028486012005159337
absolute error = 3e-31
relative error = 2.2903972166331836187957255033797e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.309816471227602848601200515934
y1[1] (numeric) = 1.3098164712276028486012005159337
absolute error = 3e-31
relative error = 2.2903972166331836187957255033797e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=843.0MB, alloc=4.6MB, time=47.87
TOP MAIN SOLVE Loop
x[1] = 0.316
y2[1] (analytic) = 1.3107671125398281418465819613222
y2[1] (numeric) = 1.3107671125398281418465819613219
absolute error = 3e-31
relative error = 2.2887360930096908379963784210132e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3107671125398281418465819613222
y1[1] (numeric) = 1.3107671125398281418465819613219
absolute error = 3e-31
relative error = 2.2887360930096908379963784210132e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=846.8MB, alloc=4.6MB, time=48.08
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=850.6MB, alloc=4.6MB, time=48.30
x[1] = 0.317
y2[1] (analytic) = 1.3117174430849667925223366371764
y2[1] (numeric) = 1.3117174430849667925223366371761
absolute error = 3e-31
relative error = 2.2870779189643469008721102234405e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3117174430849667925223366371764
y1[1] (numeric) = 1.3117174430849667925223366371761
absolute error = 3e-31
relative error = 2.2870779189643469008721102234405e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=854.5MB, alloc=4.6MB, time=48.52
x[1] = 0.318
y2[1] (analytic) = 1.3126674619126883346840233228225
y2[1] (numeric) = 1.3126674619126883346840233228222
absolute error = 3e-31
relative error = 2.2854226885678256119444922957100e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3126674619126883346840233228225
y1[1] (numeric) = 1.3126674619126883346840233228222
absolute error = 3e-31
relative error = 2.2854226885678256119444922957100e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=858.3MB, alloc=4.6MB, time=48.73
x[1] = 0.319
y2[1] (analytic) = 1.3136171680729740197783328610944
y2[1] (numeric) = 1.3136171680729740197783328610941
absolute error = 3e-31
relative error = 2.2837703959068111798306866315292e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3136171680729740197783328610944
y1[1] (numeric) = 1.3136171680729740197783328610941
absolute error = 3e-31
relative error = 2.2837703959068111798306866315292e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=862.1MB, alloc=4.6MB, time=48.95
x[1] = 0.32
y2[1] (analytic) = 1.3145665606161177666617575434172
y2[1] (numeric) = 1.3145665606161177666617575434168
absolute error = 4e-31
relative error = 3.0428280467785971822400630624494e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3145665606161177666617575434172
y1[1] (numeric) = 1.3145665606161177666617575434168
absolute error = 4e-31
relative error = 3.0428280467785971822400630624494e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=865.9MB, alloc=4.6MB, time=49.17
x[1] = 0.321
y2[1] (analytic) = 1.3155156385927271113065931111435
y2[1] (numeric) = 1.3155156385927271113065931111431
absolute error = 4e-31
relative error = 3.0406328002903865926828321928013e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3155156385927271113065931111435
y1[1] (numeric) = 1.3155156385927271113065931111431
absolute error = 4e-31
relative error = 3.0406328002903865926828321928013e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=869.7MB, alloc=4.6MB, time=49.39
x[1] = 0.322
y2[1] (analytic) = 1.3164644010537241561933236672222
y2[1] (numeric) = 1.3164644010537241561933236672218
absolute error = 4e-31
relative error = 3.0384414472570020502235338504515e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3164644010537241561933236672222
y1[1] (numeric) = 1.3164644010537241561933236672218
absolute error = 4e-31
relative error = 3.0384414472570020502235338504515e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=873.5MB, alloc=4.6MB, time=49.60
x[1] = 0.323
y2[1] (analytic) = 1.3174128470503465193884401058919
y2[1] (numeric) = 1.3174128470503465193884401058915
absolute error = 4e-31
relative error = 3.0362539798787427341171255815011e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3174128470503465193884401058919
y1[1] (numeric) = 1.3174128470503465193884401058915
absolute error = 4e-31
relative error = 3.0362539798787427341171255815011e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=877.3MB, alloc=4.6MB, time=49.82
x[1] = 0.324
y2[1] (analytic) = 1.3183609756341482833067429826609
y2[1] (numeric) = 1.3183609756341482833067429826606
absolute error = 3e-31
relative error = 2.2755527927826914801410831770785e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3183609756341482833067429826609
y1[1] (numeric) = 1.3183609756341482833067429826606
absolute error = 3e-31
relative error = 2.2755527927826914801410831770785e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=881.2MB, alloc=4.6MB, time=50.03
x[1] = 0.325
y2[1] (analytic) = 1.3193087858570009431571810623496
y2[1] (numeric) = 1.3193087858570009431571810623493
absolute error = 3e-31
relative error = 2.2739180032453510317197200032320e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3193087858570009431571810623496
y1[1] (numeric) = 1.3193087858570009431571810623493
absolute error = 3e-31
relative error = 2.2739180032453510317197200032320e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=885.0MB, alloc=4.6MB, time=50.25
x[1] = 0.326
y2[1] (analytic) = 1.3202562767710943550712770994355
y2[1] (numeric) = 1.3202562767710943550712770994351
absolute error = 4e-31
relative error = 3.0297148139925251977779952804708e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3202562767710943550712770994355
y1[1] (numeric) = 1.3202562767710943550712770994351
absolute error = 4e-31
relative error = 3.0297148139925251977779952804708e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=888.8MB, alloc=4.6MB, time=50.47
x[1] = 0.327
y2[1] (analytic) = 1.3212034474289376839131927223542
y2[1] (numeric) = 1.3212034474289376839131927223538
absolute error = 4e-31
relative error = 3.0275428116570549625729120516966e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3212034474289376839131927223542
y1[1] (numeric) = 1.3212034474289376839131927223538
absolute error = 4e-31
relative error = 3.0275428116570549625729120516966e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=892.6MB, alloc=4.6MB, time=50.68
x[1] = 0.328
y2[1] (analytic) = 1.3221502968833603507704846117713
y2[1] (numeric) = 1.322150296883360350770484611771
absolute error = 3e-31
relative error = 2.2690309922190782361737294573651e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3221502968833603507704846117713
y1[1] (numeric) = 1.322150296883360350770484611771
absolute error = 3e-31
relative error = 2.2690309922190782361737294573651e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=896.4MB, alloc=4.6MB, time=50.90
x[1] = 0.329
y2[1] (analytic) = 1.3230968241875129801246044821466
y2[1] (numeric) = 1.3230968241875129801246044821463
absolute error = 3e-31
relative error = 2.2674077551673055899278154121804e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3230968241875129801246044821466
y1[1] (numeric) = 1.3230968241875129801246044821463
absolute error = 3e-31
relative error = 2.2674077551673055899278154121804e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=900.2MB, alloc=4.6MB, time=51.11
x[1] = 0.33
y2[1] (analytic) = 1.3240430283948683467001956961702
y2[1] (numeric) = 1.3240430283948683467001956961699
absolute error = 3e-31
relative error = 2.2657873918469908506683592895377e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3240430283948683467001956961702
y1[1] (numeric) = 1.3240430283948683467001956961699
absolute error = 3e-31
relative error = 2.2657873918469908506683592895377e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=904.0MB, alloc=4.6MB, time=51.33
x[1] = 0.331
y2[1] (analytic) = 1.3249889085592223219922396628531
y2[1] (numeric) = 1.3249889085592223219922396628528
absolute error = 3e-31
relative error = 2.2641698965330701870870661371175e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3249889085592223219922396628531
y1[1] (numeric) = 1.3249889085592223219922396628528
absolute error = 3e-31
relative error = 2.2641698965330701870870661371175e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=907.9MB, alloc=4.6MB, time=51.55
x[1] = 0.332
y2[1] (analytic) = 1.3259344637346948204701054922043
y2[1] (numeric) = 1.3259344637346948204701054922041
absolute error = 2e-31
relative error = 1.5083701756772334867491512372673e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3259344637346948204701054922043
y1[1] (numeric) = 1.3259344637346948204701054922041
absolute error = 2e-31
relative error = 1.5083701756772334867491512372673e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=911.7MB, alloc=4.6MB, time=51.76
x[1] = 0.333
y2[1] (analytic) = 1.3268796929757307454575567025243
y2[1] (numeric) = 1.326879692975730745457556702524
absolute error = 3e-31
relative error = 2.2609434871009601116825084797975e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3268796929757307454575567025243
y1[1] (numeric) = 1.326879692975730745457556702524
absolute error = 3e-31
relative error = 2.2609434871009601116825084797975e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=915.5MB, alloc=4.6MB, time=51.98
x[1] = 0.334
y2[1] (analytic) = 1.3278245953371009346877691003853
y2[1] (numeric) = 1.3278245953371009346877691003851
absolute error = 2e-31
relative error = 1.5062230410728691201913471045364e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3278245953371009346877691003853
y1[1] (numeric) = 1.3278245953371009346877691003851
absolute error = 2e-31
relative error = 1.5062230410728691201913471045364e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=919.3MB, alloc=4.6MB, time=52.20
x[1] = 0.335
y2[1] (analytic) = 1.3287691698739031055324142783622
y2[1] (numeric) = 1.328769169873903105532414278362
absolute error = 2e-31
relative error = 1.5051523209180079286219740954841e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3287691698739031055324142783622
y1[1] (numeric) = 1.328769169873903105532414278362
absolute error = 2e-31
relative error = 1.5051523209180079286219740954841e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=923.1MB, alloc=4.6MB, time=52.41
x[1] = 0.336
y2[1] (analytic) = 1.3297134156415627999038635015058
y2[1] (numeric) = 1.3297134156415627999038635015056
absolute error = 2e-31
relative error = 1.5040834938369302549337622519063e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3297134156415627999038635015058
y1[1] (numeric) = 1.3297134156415627999038635015056
absolute error = 2e-31
relative error = 1.5040834938369302549337622519063e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=926.9MB, alloc=4.6MB, time=52.63
x[1] = 0.337
y2[1] (analytic) = 1.3306573316958343288295670804365
y2[1] (numeric) = 1.3306573316958343288295670804364
absolute error = 1e-31
relative error = 7.5150827803696573309773037414388e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.3306573316958343288295670804365
y1[1] (numeric) = 1.3306573316958343288295670804364
absolute error = 1e-31
relative error = 7.5150827803696573309773037414388e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=930.8MB, alloc=4.6MB, time=52.85
x[1] = 0.338
y2[1] (analytic) = 1.331600917092801716697664656756
y2[1] (numeric) = 1.3316009170928017166976646567558
absolute error = 2e-31
relative error = 1.5019515038833638187130992290764e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.331600917092801716697664656756
y1[1] (numeric) = 1.3316009170928017166976646567558
absolute error = 2e-31
relative error = 1.5019515038833638187130992290764e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=934.6MB, alloc=4.6MB, time=53.06
x[1] = 0.339
y2[1] (analytic) = 1.332544170888879645172882155245
y2[1] (numeric) = 1.3325441708888796451728821552448
absolute error = 2e-31
relative error = 1.5008883335296051842304680504275e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.332544170888879645172882155245
y1[1] (numeric) = 1.3325441708888796451728821552448
absolute error = 2e-31
relative error = 1.5008883335296051842304680504275e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=938.4MB, alloc=4.6MB, time=53.28
x[1] = 0.34
y2[1] (analytic) = 1.3334870921408143967817714870308
y2[1] (numeric) = 1.3334870921408143967817714870306
absolute error = 2e-31
relative error = 1.4998270412870278911587530301458e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3334870921408143967817714870308
y1[1] (numeric) = 1.3334870921408143967817714870306
absolute error = 2e-31
relative error = 1.4998270412870278911587530301458e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=942.2MB, alloc=4.6MB, time=53.49
x[1] = 0.341
y2[1] (analytic) = 1.334429679905684798166349418561
y2[1] (numeric) = 1.3344296799056847981663494185608
absolute error = 2e-31
relative error = 1.4987676234399676803550123105242e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.334429679905684798166349418561
y1[1] (numeric) = 1.3344296799056847981663494185608
absolute error = 2e-31
relative error = 1.4987676234399676803550123105242e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=946.0MB, alloc=4.6MB, time=53.71
x[1] = 0.342
y2[1] (analytic) = 1.3353719332409031630051923528251
y2[1] (numeric) = 1.3353719332409031630051923528249
absolute error = 2e-31
relative error = 1.4977100762826927749714441461204e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3353719332409031630051923528251
y1[1] (numeric) = 1.3353719332409031630051923528249
absolute error = 2e-31
relative error = 1.4977100762826927749714441461204e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=949.8MB, alloc=4.6MB, time=53.93
x[1] = 0.343
y2[1] (analytic) = 1.336313851204216234601044101807
y2[1] (numeric) = 1.3363138512042162346010441018068
absolute error = 2e-31
relative error = 1.4966543961193730638996438279216e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.336313851204216234601044101807
y1[1] (numeric) = 1.3363138512042162346010441018068
absolute error = 2e-31
relative error = 1.4966543961193730638996438279216e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=953.6MB, alloc=4.6MB, time=54.15
x[1] = 0.344
y2[1] (analytic) = 1.3372554328537061281339940626387
y2[1] (numeric) = 1.3372554328537061281339940626386
absolute error = 1e-31
relative error = 7.4780028963202469916814280730670e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.3372554328537061281339940626387
y1[1] (numeric) = 1.3372554328537061281339940626386
absolute error = 1e-31
relative error = 7.4780028963202469916814280730670e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=957.5MB, alloc=4.6MB, time=54.36
x[1] = 0.345
y2[1] (analytic) = 1.338196677247791272579283544357
y2[1] (numeric) = 1.3381966772477912725792835443569
absolute error = 1e-31
relative error = 7.4727431102030150049944576410942e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.338196677247791272579283544357
y1[1] (numeric) = 1.3381966772477912725792835443569
absolute error = 1e-31
relative error = 7.4727431102030150049944576410942e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=961.3MB, alloc=4.6MB, time=54.58
x[1] = 0.346
y2[1] (analytic) = 1.3391375834452273522887983275334
y2[1] (numeric) = 1.3391375834452273522887983275332
absolute error = 2e-31
relative error = 1.4934985207827249875225632521774e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3391375834452273522887983275334
y1[1] (numeric) = 1.3391375834452273522887983275332
absolute error = 2e-31
relative error = 1.4934985207827249875225632521774e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=965.1MB, alloc=4.6MB, time=54.80
x[1] = 0.347
y2[1] (analytic) = 1.3400781505051082482353058753646
y2[1] (numeric) = 1.3400781505051082482353058753645
absolute error = 1e-31
relative error = 7.4622513591694299978537810577431e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.3400781505051082482353058753646
y1[1] (numeric) = 1.3400781505051082482353058753645
absolute error = 1e-31
relative error = 7.4622513591694299978537810577431e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=968.9MB, alloc=4.6MB, time=55.02
x[1] = 0.348
y2[1] (analytic) = 1.3410183774868669789184959520651
y2[1] (numeric) = 1.3410183774868669789184959520649
absolute error = 2e-31
relative error = 1.4914038715473059491953662836072e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3410183774868669789184959520651
y1[1] (numeric) = 1.3410183774868669789184959520649
absolute error = 2e-31
relative error = 1.4914038715473059491953662836072e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=972.7MB, alloc=4.6MB, time=55.23
x[1] = 0.349
y2[1] (analytic) = 1.3419582634502766409318837425973
y2[1] (numeric) = 1.3419582634502766409318837425971
absolute error = 2e-31
relative error = 1.4903593162859238739835795483690e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3419582634502766409318837425973
y1[1] (numeric) = 1.3419582634502766409318837425971
absolute error = 2e-31
relative error = 1.4903593162859238739835795483690e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=976.5MB, alloc=4.6MB, time=55.45
x[1] = 0.35
y2[1] (analytic) = 1.3428978074554513491896349069176
y2[1] (numeric) = 1.3428978074554513491896349069174
absolute error = 2e-31
relative error = 1.4893166024223679025311041078695e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3428978074554513491896349069176
y1[1] (numeric) = 1.3428978074554513491896349069174
absolute error = 2e-31
relative error = 1.4893166024223679025311041078695e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=980.3MB, alloc=4.6MB, time=55.67
x[1] = 0.351
y2[1] (analytic) = 1.3438370085628471768123723419896
y2[1] (numeric) = 1.3438370085628471768123723419894
absolute error = 2e-31
relative error = 1.4882757263389253297835603452322e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3438370085628471768123723419896
y1[1] (numeric) = 1.3438370085628471768123723419894
absolute error = 2e-31
relative error = 1.4882757263389253297835603452322e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=984.2MB, alloc=4.6MB, time=55.88
x[1] = 0.352
y2[1] (analytic) = 1.3447758658332630946710247658361
y2[1] (numeric) = 1.3447758658332630946710247658359
absolute error = 2e-31
relative error = 1.4872366844275128017899521242115e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3447758658332630946710247658361
y1[1] (numeric) = 1.3447758658332630946710247658359
absolute error = 2e-31
relative error = 1.4872366844275128017899521242115e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=988.0MB, alloc=4.6MB, time=56.10
x[1] = 0.353
y2[1] (analytic) = 1.345714378327841910587777579861
y2[1] (numeric) = 1.3457143783278419105877775798609
absolute error = 1e-31
relative error = 7.4309973654482330470713820554174e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.345714378327841910587777579861
y1[1] (numeric) = 1.3457143783278419105877775798609
absolute error = 1e-31
relative error = 7.4309973654482330470713820554174e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=991.8MB, alloc=4.6MB, time=56.32
x[1] = 0.354
y2[1] (analytic) = 1.3466525451080712081931868085672
y2[1] (numeric) = 1.3466525451080712081931868085671
absolute error = 1e-31
relative error = 7.4258204436820654527672634859769e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.3466525451080712081931868085672
y1[1] (numeric) = 1.3466525451080712081931868085671
absolute error = 1e-31
relative error = 7.4258204436820654527672634859769e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=995.6MB, alloc=4.6MB, time=56.54
x[1] = 0.355
y2[1] (analytic) = 1.3475903652357842854385172596347
y2[1] (numeric) = 1.3475903652357842854385172596346
absolute error = 1e-31
relative error = 7.4206526389421957020593323774098e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.3475903652357842854385172596347
y1[1] (numeric) = 1.3475903652357842854385172596346
absolute error = 1e-31
relative error = 7.4206526389421957020593323774098e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=999.4MB, alloc=4.6MB, time=56.75
x[1] = 0.356
y2[1] (analytic) = 1.3485278377731610927623663921003
y2[1] (numeric) = 1.3485278377731610927623663921002
absolute error = 1e-31
relative error = 7.4154939333793141469246147036123e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.3485278377731610927623663921003
y1[1] (numeric) = 1.3485278377731610927623663921002
absolute error = 1e-31
relative error = 7.4154939333793141469246147036123e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1003.2MB, alloc=4.6MB, time=56.97
x[1] = 0.357
y2[1] (analytic) = 1.3494649617827291709106357260919
y2[1] (numeric) = 1.3494649617827291709106357260917
absolute error = 2e-31
relative error = 1.4820688618383041281060981037815e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3494649617827291709106357260919
y1[1] (numeric) = 1.3494649617827291709106357260917
absolute error = 2e-31
relative error = 1.4820688618383041281060981037815e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1007.0MB, alloc=4.6MB, time=57.18
x[1] = 0.358
y2[1] (analytic) = 1.3504017363273645884089119742243
y2[1] (numeric) = 1.3504017363273645884089119742241
absolute error = 2e-31
relative error = 1.4810407497248357392140546966743e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3504017363273645884089119742243
y1[1] (numeric) = 1.3504017363273645884089119742241
absolute error = 2e-31
relative error = 1.4810407497248357392140546966743e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1010.9MB, alloc=4.6MB, time=57.40
x[1] = 0.359
y2[1] (analytic) = 1.3513381604702928786863204223547
y2[1] (numeric) = 1.3513381604702928786863204223545
absolute error = 2e-31
relative error = 1.4800144467939540353984596597776e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3513381604702928786863204223547
y1[1] (numeric) = 1.3513381604702928786863204223545
absolute error = 2e-31
relative error = 1.4800144467939540353984596597776e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1014.7MB, alloc=4.6MB, time=57.62
x[1] = 0.36
y2[1] (analytic) = 1.3522742332750899768499134359207
y2[1] (numeric) = 1.3522742332750899768499134359205
absolute error = 2e-31
relative error = 1.4789899495135501032851987062370e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3522742332750899768499134359207
y1[1] (numeric) = 1.3522742332750899768499134359205
absolute error = 2e-31
relative error = 1.4789899495135501032851987062370e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1018.5MB, alloc=4.6MB, time=57.84
x[1] = 0.361
y2[1] (analytic) = 1.353209953805683156108657317552
y2[1] (numeric) = 1.3532099538056831561086573175517
absolute error = 3e-31
relative error = 2.2169508815413213390855972688686e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.353209953805683156108657317552
y1[1] (numeric) = 1.3532099538056831561086573175517
absolute error = 3e-31
relative error = 2.2169508815413213390855972688686e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1022.3MB, alloc=4.6MB, time=58.05
x[1] = 0.362
y2[1] (analytic) = 1.3541453211263519638460810920458
y2[1] (numeric) = 1.3541453211263519638460810920456
absolute error = 2e-31
relative error = 1.4769463578225404710413685493342e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3541453211263519638460810920458
y1[1] (numeric) = 1.3541453211263519638460810920456
absolute error = 2e-31
relative error = 1.4769463578225404710413685493342e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1026.1MB, alloc=4.6MB, time=58.27
x[1] = 0.363
y2[1] (analytic) = 1.3550803343017291573406511461367
y2[1] (numeric) = 1.3550803343017291573406511461365
absolute error = 2e-31
relative error = 1.4759272563944313818312775013386e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3550803343017291573406511461367
y1[1] (numeric) = 1.3550803343017291573406511461365
absolute error = 2e-31
relative error = 1.4759272563944313818312775013386e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1029.9MB, alloc=4.6MB, time=58.49
x[1] = 0.364
y2[1] (analytic) = 1.3560149923968016391329360027619
y2[1] (numeric) = 1.3560149923968016391329360027617
absolute error = 2e-31
relative error = 1.4749099465817361078430436941733e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3560149923968016391329360027619
y1[1] (numeric) = 1.3560149923968016391329360027617
absolute error = 2e-31
relative error = 1.4749099465817361078430436941733e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1033.7MB, alloc=4.6MB, time=58.70
x[1] = 0.365
y2[1] (analytic) = 1.3569492944769113920386258627375
y2[1] (numeric) = 1.3569492944769113920386258627374
absolute error = 1e-31
relative error = 7.3694721244944431877330750019497e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.3569492944769113920386258627375
y1[1] (numeric) = 1.3569492944769113920386258627374
absolute error = 1e-31
relative error = 7.3694721244944431877330750019497e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1037.6MB, alloc=4.6MB, time=58.92
x[1] = 0.366
y2[1] (analytic) = 1.357883239607756413806471900903
y2[1] (numeric) = 1.3578832396077564138064719009029
absolute error = 1e-31
relative error = 7.3644034393477306747122870294884e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.357883239607756413806471900903
y1[1] (numeric) = 1.3578832396077564138064719009029
absolute error = 1e-31
relative error = 7.3644034393477306747122870294884e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1041.4MB, alloc=4.6MB, time=59.14
x[1] = 0.367
y2[1] (analytic) = 1.3588168268553916514202106588722
y2[1] (numeric) = 1.3588168268553916514202106588721
absolute error = 1e-31
relative error = 7.3593436601328035609636641594231e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.3588168268553916514202106588722
y1[1] (numeric) = 1.3588168268553916514202106588721
absolute error = 1e-31
relative error = 7.3593436601328035609636641594231e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1045.2MB, alloc=4.6MB, time=59.35
x[1] = 0.368
y2[1] (analytic) = 1.3597500552862299350435392325448
y2[1] (numeric) = 1.3597500552862299350435392325447
absolute error = 1e-31
relative error = 7.3542927695597565232514299465408e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.3597500552862299350435392325448
y1[1] (numeric) = 1.3597500552862299350435392325447
absolute error = 1e-31
relative error = 7.3542927695597565232514299465408e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1049.0MB, alloc=4.6MB, time=59.57
x[1] = 0.369
y2[1] (analytic) = 1.3606829239670429116072073094816
y2[1] (numeric) = 1.3606829239670429116072073094814
absolute error = 2e-31
relative error = 1.4698501500768756478641920493443e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3606829239670429116072073094816
y1[1] (numeric) = 1.3606829239670429116072073094814
absolute error = 2e-31
relative error = 1.4698501500768756478641920493443e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1052.8MB, alloc=4.6MB, time=59.79
x[1] = 0.37
y2[1] (analytic) = 1.3616154319649619780372924691272
y2[1] (numeric) = 1.361615431964961978037292469127
absolute error = 2e-31
relative error = 1.4688435170816023561425718019009e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3616154319649619780372924691272
y1[1] (numeric) = 1.361615431964961978037292469127
absolute error = 2e-31
relative error = 1.4688435170816023561425718019009e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1056.6MB, alloc=4.6MB, time=60.00
x[1] = 0.371
y2[1] (analytic) = 1.3625475783474792141237255176854
y2[1] (numeric) = 1.3625475783474792141237255176852
absolute error = 2e-31
relative error = 1.4678386514954831022553258026804e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3625475783474792141237255176854
y1[1] (numeric) = 1.3625475783474792141237255176852
absolute error = 2e-31
relative error = 1.4678386514954831022553258026804e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1060.5MB, alloc=4.6MB, time=60.22
TOP MAIN SOLVE Loop
x[1] = 0.372
y2[1] (analytic) = 1.3634793621824483150281329891974
y2[1] (numeric) = 1.3634793621824483150281329891972
absolute error = 2e-31
relative error = 1.4668355498969248978613738342921e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3634793621824483150281329891974
y1[1] (numeric) = 1.3634793621824483150281329891972
absolute error = 2e-31
relative error = 1.4668355498969248978613738342921e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1064.3MB, alloc=4.6MB, time=60.44
TOP MAIN SOLVE Loop
x[1] = 0.373
y2[1] (analytic) = 1.364410782538085523430064305059
y2[1] (numeric) = 1.3644107825380855234300643050589
absolute error = 1e-31
relative error = 7.3291710443668123712345544257999e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.364410782538085523430064305059
y1[1] (numeric) = 1.3644107825380855234300643050589
absolute error = 1e-31
relative error = 7.3291710443668123712345544257999e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1068.1MB, alloc=4.6MB, time=60.65
TOP MAIN SOLVE Loop
x[1] = 0.374
y2[1] (analytic) = 1.3653418384829705613106714458277
y2[1] (numeric) = 1.3653418384829705613106714458276
absolute error = 1e-31
relative error = 7.3241731251061538148155291885497e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.3653418384829705613106714458277
y1[1] (numeric) = 1.3653418384829705613106714458276
absolute error = 1e-31
relative error = 7.3241731251061538148155291885497e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1071.9MB, alloc=4.6MB, time=60.87
TOP MAIN SOLVE Loop
x[1] = 0.375
y2[1] (analytic) = 1.3662725290860475613729093517163
y2[1] (numeric) = 1.3662725290860475613729093517162
absolute error = 1e-31
relative error = 7.3191839747296873797678710522985e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.3662725290860475613729093517163
y1[1] (numeric) = 1.3662725290860475613729093517162
absolute error = 1e-31
relative error = 7.3191839747296873797678710522985e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1075.7MB, alloc=4.6MB, time=61.09
TOP MAIN SOLVE Loop
x[1] = 0.376
y2[1] (analytic) = 1.3672028534166259980973256316518
y2[1] (numeric) = 1.3672028534166259980973256316518
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.3672028534166259980973256316518
y1[1] (numeric) = 1.3672028534166259980973256316518
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
memory used=1079.5MB, alloc=4.6MB, time=61.31
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1083.3MB, alloc=4.6MB, time=61.53
x[1] = 0.377
y2[1] (analytic) = 1.368132810544381618432508525187
y2[1] (numeric) = 1.368132810544381618432508525187
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.368132810544381618432508525187
y1[1] (numeric) = 1.368132810544381618432508525187
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1087.2MB, alloc=4.6MB, time=61.75
x[1] = 0.378
y2[1] (analytic) = 1.3690623995393573721192624268931
y2[1] (numeric) = 1.3690623995393573721192624268931
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.3690623995393573721192624268931
y1[1] (numeric) = 1.3690623995393573721192624268931
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1091.0MB, alloc=4.6MB, time=61.96
x[1] = 0.379
y2[1] (analytic) = 1.3699916194719643416475806491373
y2[1] (numeric) = 1.3699916194719643416475806491373
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.3699916194719643416475806491373
y1[1] (numeric) = 1.3699916194719643416475806491373
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1094.8MB, alloc=4.6MB, time=62.19
x[1] = 0.38
y2[1] (analytic) = 1.3709204694129826718454854663492
y2[1] (numeric) = 1.3709204694129826718454854663492
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.3709204694129826718454854663492
y1[1] (numeric) = 1.3709204694129826718454854663492
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1098.6MB, alloc=4.6MB, time=62.40
x[1] = 0.381
y2[1] (analytic) = 1.3718489484335624990988058520127
y2[1] (numeric) = 1.3718489484335624990988058520127
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.3718489484335624990988058520127
y1[1] (numeric) = 1.3718489484335624990988058520127
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1102.4MB, alloc=4.6MB, time=62.62
x[1] = 0.382
y2[1] (analytic) = 1.3727770556052248802009636886848
y2[1] (numeric) = 1.3727770556052248802009636886848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.3727770556052248802009636886848
y1[1] (numeric) = 1.3727770556052248802009636886848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1106.2MB, alloc=4.6MB, time=62.84
x[1] = 0.383
y2[1] (analytic) = 1.3737047899998627208318396013306
y2[1] (numeric) = 1.3737047899998627208318396013306
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.3737047899998627208318396013306
y1[1] (numeric) = 1.3737047899998627208318396013306
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1110.0MB, alloc=4.6MB, time=63.05
x[1] = 0.384
y2[1] (analytic) = 1.3746321506897417036647899351876
y2[1] (numeric) = 1.3746321506897417036647899351876
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.3746321506897417036647899351876
y1[1] (numeric) = 1.3746321506897417036647899351876
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1113.9MB, alloc=4.6MB, time=63.27
x[1] = 0.385
y2[1] (analytic) = 1.3755591367475012161008867712188
y2[1] (numeric) = 1.3755591367475012161008867712188
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.3755591367475012161008867712188
y1[1] (numeric) = 1.3755591367475012161008867712188
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1117.7MB, alloc=4.6MB, time=63.48
x[1] = 0.386
y2[1] (analytic) = 1.3764857472461552776294532449923
y2[1] (numeric) = 1.3764857472461552776294532449923
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.3764857472461552776294532449923
y1[1] (numeric) = 1.3764857472461552776294532449923
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1121.5MB, alloc=4.6MB, time=63.70
x[1] = 0.387
y2[1] (analytic) = 1.3774119812590934668139668085286
y2[1] (numeric) = 1.3774119812590934668139668085287
absolute error = 1e-31
relative error = 7.2599920256675794785525633742804e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.3774119812590934668139668085286
y1[1] (numeric) = 1.3774119812590934668139668085287
absolute error = 1e-31
relative error = 7.2599920256675794785525633742804e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1125.3MB, alloc=4.6MB, time=63.92
x[1] = 0.388
y2[1] (analytic) = 1.3783378378600818479024034492912
y2[1] (numeric) = 1.3783378378600818479024034492913
absolute error = 1e-31
relative error = 7.2551153464127147705314472494371e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.3783378378600818479024034492912
y1[1] (numeric) = 1.3783378378600818479024034492913
absolute error = 1e-31
relative error = 7.2551153464127147705314472494371e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1129.1MB, alloc=4.6MB, time=64.13
x[1] = 0.389
y2[1] (analytic) = 1.3792633161232638970610962560513
y2[1] (numeric) = 1.3792633161232638970610962560513
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.3792633161232638970610962560513
y1[1] (numeric) = 1.3792633161232638970610962560513
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1132.9MB, alloc=4.6MB, time=64.35
x[1] = 0.39
y2[1] (analytic) = 1.3801884151231614282311820978472
y2[1] (numeric) = 1.3801884151231614282311820978472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.3801884151231614282311820978472
y1[1] (numeric) = 1.3801884151231614282311820978472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1136.7MB, alloc=4.6MB, time=64.57
x[1] = 0.391
y2[1] (analytic) = 1.381113133934675518606710559668
y2[1] (numeric) = 1.381113133934675518606710559668
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.381113133934675518606710559668
y1[1] (numeric) = 1.381113133934675518606710559668
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1140.6MB, alloc=4.6MB, time=64.78
x[1] = 0.392
y2[1] (analytic) = 1.3820374716330874337334896568294
y2[1] (numeric) = 1.3820374716330874337334896568294
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.3820374716330874337334896568294
y1[1] (numeric) = 1.3820374716330874337334896568294
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1144.4MB, alloc=4.6MB, time=65.00
x[1] = 0.393
y2[1] (analytic) = 1.3829614272940595522277432292739
y2[1] (numeric) = 1.3829614272940595522277432292739
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.3829614272940595522277432292739
y1[1] (numeric) = 1.3829614272940595522277432292739
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1148.2MB, alloc=4.6MB, time=65.22
x[1] = 0.394
y2[1] (analytic) = 1.3838849999936362901136552972144
y2[1] (numeric) = 1.3838849999936362901136552972144
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.3838849999936362901136552972144
y1[1] (numeric) = 1.3838849999936362901136552972144
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1152.0MB, alloc=4.6MB, time=65.43
x[1] = 0.395
y2[1] (analytic) = 1.384808188808245024778877040654
y2[1] (numeric) = 1.384808188808245024778877040654
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.384808188808245024778877040654
y1[1] (numeric) = 1.384808188808245024778877040654
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1155.8MB, alloc=4.6MB, time=65.65
x[1] = 0.396
y2[1] (analytic) = 1.3857309928146970185470724473521
y2[1] (numeric) = 1.3857309928146970185470724473521
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.3857309928146970185470724473521
y1[1] (numeric) = 1.3857309928146970185470724473521
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1159.6MB, alloc=4.6MB, time=65.87
x[1] = 0.397
y2[1] (analytic) = 1.3866534110901883418665790567684
y2[1] (numeric) = 1.3866534110901883418665790567684
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.3866534110901883418665790567684
y1[1] (numeric) = 1.3866534110901883418665790567684
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1163.4MB, alloc=4.6MB, time=66.08
x[1] = 0.398
y2[1] (analytic) = 1.3875754427123007961142606114002
y2[1] (numeric) = 1.3875754427123007961142606114003
absolute error = 1e-31
relative error = 7.2068153501282416676376862757328e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.3875754427123007961142606114002
y1[1] (numeric) = 1.3875754427123007961142606114003
absolute error = 1e-31
relative error = 7.2068153501282416676376862757328e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1167.3MB, alloc=4.6MB, time=66.30
x[1] = 0.399
y2[1] (analytic) = 1.3884970867590028360136288117384
y2[1] (numeric) = 1.3884970867590028360136288117385
absolute error = 1e-31
relative error = 7.2020316753719406317376387866974e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.3884970867590028360136288117384
y1[1] (numeric) = 1.3884970867590028360136288117385
absolute error = 1e-31
relative error = 7.2020316753719406317376387866974e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1171.1MB, alloc=4.6MB, time=66.51
x[1] = 0.4
y2[1] (analytic) = 1.3894183423086504916663117567957
y2[1] (numeric) = 1.3894183423086504916663117567958
absolute error = 1e-31
relative error = 7.1972563593654957565209332448654e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.3894183423086504916663117567957
y1[1] (numeric) = 1.3894183423086504916663117567958
absolute error = 1e-31
relative error = 7.1972563593654957565209332448654e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1174.9MB, alloc=4.6MB, time=66.73
x[1] = 0.401
y2[1] (analytic) = 1.3903392084399882901959470388174
y2[1] (numeric) = 1.3903392084399882901959470388174
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.3903392084399882901959470388174
y1[1] (numeric) = 1.3903392084399882901959470388174
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1178.7MB, alloc=4.6MB, time=66.95
x[1] = 0.402
y2[1] (analytic) = 1.3912596842321501770035778483565
y2[1] (numeric) = 1.3912596842321501770035778483566
absolute error = 1e-31
relative error = 7.1877307402313593070387801917391e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.3912596842321501770035778483565
y1[1] (numeric) = 1.3912596842321501770035778483566
absolute error = 1e-31
relative error = 7.1877307402313593070387801917391e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1182.5MB, alloc=4.6MB, time=67.16
x[1] = 0.403
y2[1] (analytic) = 1.3921797687646604366336308343958
y2[1] (numeric) = 1.3921797687646604366336308343959
absolute error = 1e-31
relative error = 7.1829804055214937348400827539872e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.3921797687646604366336308343958
y1[1] (numeric) = 1.3921797687646604366336308343959
absolute error = 1e-31
relative error = 7.1829804055214937348400827539872e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1186.3MB, alloc=4.6MB, time=67.38
x[1] = 0.404
y2[1] (analytic) = 1.3930994611174346132495548536135
y2[1] (numeric) = 1.3930994611174346132495548536136
absolute error = 1e-31
relative error = 7.1782383663968888389578272402074e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.3930994611174346132495548536135
y1[1] (numeric) = 1.3930994611174346132495548536136
absolute error = 1e-31
relative error = 7.1782383663968888389578272402074e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1190.2MB, alloc=4.6MB, time=67.60
x[1] = 0.405
y2[1] (analytic) = 1.3940187603707804307182001332327
y2[1] (numeric) = 1.3940187603707804307182001332328
absolute error = 1e-31
relative error = 7.1735046071691351355951874184833e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.3940187603707804307182001332327
y1[1] (numeric) = 1.3940187603707804307182001332328
absolute error = 1e-31
relative error = 7.1735046071691351355951874184833e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1194.0MB, alloc=4.6MB, time=67.82
x[1] = 0.406
y2[1] (analytic) = 1.3949376656053987123020177631507
y2[1] (numeric) = 1.3949376656053987123020177631508
absolute error = 1e-31
relative error = 7.1687791121906729478855705476643e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.3949376656053987123020177631507
y1[1] (numeric) = 1.3949376656053987123020177631508
absolute error = 1e-31
relative error = 7.1687791121906729478855705476643e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1197.8MB, alloc=4.6MB, time=68.04
x[1] = 0.407
y2[1] (analytic) = 1.3958561759023842999581598252254
y2[1] (numeric) = 1.3958561759023842999581598252255
absolute error = 1e-31
relative error = 7.1640618658546701978975628576510e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.3958561759023842999581598252254
y1[1] (numeric) = 1.3958561759023842999581598252255
absolute error = 1e-31
relative error = 7.1640618658546701978975628576510e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1201.6MB, alloc=4.6MB, time=68.25
x[1] = 0.408
y2[1] (analytic) = 1.3967742903432269732435608606962
y2[1] (numeric) = 1.3967742903432269732435608606964
absolute error = 2e-31
relative error = 1.4318705705189801267062552987729e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3967742903432269732435608606962
y1[1] (numeric) = 1.3967742903432269732435608606964
absolute error = 2e-31
relative error = 1.4318705705189801267062552987729e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1205.4MB, alloc=4.6MB, time=68.47
x[1] = 0.409
y2[1] (analytic) = 1.3976920080098123678250817707338
y2[1] (numeric) = 1.397692008009812367825081770734
absolute error = 2e-31
relative error = 1.4309304113771244977108519614629e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3976920080098123678250817707338
y1[1] (numeric) = 1.397692008009812367825081770734
absolute error = 2e-31
relative error = 1.4309304113771244977108519614629e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1209.2MB, alloc=4.6MB, time=68.69
x[1] = 0.41
y2[1] (analytic) = 1.3986093279844228935937976400511
y2[1] (numeric) = 1.3986093279844228935937976400513
absolute error = 2e-31
relative error = 1.4299918926482915148066202080604e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3986093279844228935937976400511
y1[1] (numeric) = 1.3986093279844228935937976400513
absolute error = 2e-31
relative error = 1.4299918926482915148066202080604e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1213.0MB, alloc=4.6MB, time=68.90
x[1] = 0.411
y2[1] (analytic) = 1.3995262493497386523825113693651
y2[1] (numeric) = 1.3995262493497386523825113693653
absolute error = 2e-31
relative error = 1.4290550112434541598849566908332e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.3995262493497386523825113693651
y1[1] (numeric) = 1.3995262493497386523825113693653
absolute error = 2e-31
relative error = 1.4290550112434541598849566908332e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1216.9MB, alloc=4.6MB, time=69.12
x[1] = 0.412
y2[1] (analytic) = 1.4004427711888383552855753992714
y2[1] (numeric) = 1.4004427711888383552855753992716
absolute error = 2e-31
relative error = 1.4281197640816100243199475985020e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4004427711888383552855753992714
y1[1] (numeric) = 1.4004427711888383552855753992716
absolute error = 2e-31
relative error = 1.4281197640816100243199475985020e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1220.7MB, alloc=4.6MB, time=69.33
x[1] = 0.413
y2[1] (analytic) = 1.4013588925852002395801042057874
y2[1] (numeric) = 1.4013588925852002395801042057876
absolute error = 2e-31
relative error = 1.4271861480897573840152775784962e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4013588925852002395801042057874
y1[1] (numeric) = 1.4013588925852002395801042057876
absolute error = 2e-31
relative error = 1.4271861480897573840152775784962e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1224.5MB, alloc=4.6MB, time=69.55
x[1] = 0.414
y2[1] (analytic) = 1.4022746126227029852476606464264
y2[1] (numeric) = 1.4022746126227029852476606464265
absolute error = 1e-31
relative error = 7.1312708010143567967547884681983e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4022746126227029852476606464264
y1[1] (numeric) = 1.4022746126227029852476606464265
absolute error = 1e-31
relative error = 7.1312708010143567967547884681983e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1228.3MB, alloc=4.6MB, time=69.77
x[1] = 0.415
y2[1] (analytic) = 1.4031899303856266310954996351939
y2[1] (numeric) = 1.403189930385626631095499635194
absolute error = 1e-31
relative error = 7.1266189868194007984447348130911e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4031899303856266310954996351939
y1[1] (numeric) = 1.403189930385626631095499635194
absolute error = 1e-31
relative error = 7.1266189868194007984447348130911e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1232.1MB, alloc=4.6MB, time=69.98
x[1] = 0.416
y2[1] (analytic) = 1.4041048449586534904764530253388
y2[1] (numeric) = 1.4041048449586534904764530253389
absolute error = 1e-31
relative error = 7.1219752826182070604914406193200e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4041048449586534904764530253388
y1[1] (numeric) = 1.4041048449586534904764530253389
absolute error = 1e-31
relative error = 7.1219752826182070604914406193200e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1235.9MB, alloc=4.6MB, time=70.20
x[1] = 0.417
y2[1] (analytic) = 1.4050193554268690666065399800501
y2[1] (numeric) = 1.4050193554268690666065399800502
absolute error = 1e-31
relative error = 7.1173396732045928698095829088125e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4050193554268690666065399800501
y1[1] (numeric) = 1.4050193554268690666065399800502
absolute error = 1e-31
relative error = 7.1173396732045928698095829088125e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1239.7MB, alloc=4.6MB, time=70.42
x[1] = 0.418
y2[1] (analytic) = 1.4059334608757629674793875135654
y2[1] (numeric) = 1.4059334608757629674793875135654
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.4059334608757629674793875135654
y1[1] (numeric) = 1.4059334608757629674793875135654
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1243.6MB, alloc=4.6MB, time=70.63
x[1] = 0.419
y2[1] (analytic) = 1.4068471603912298203765462883469
y2[1] (numeric) = 1.406847160391229820376546288347
absolute error = 1e-31
relative error = 7.1080926781123133363842279771556e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4068471603912298203765462883469
y1[1] (numeric) = 1.406847160391229820376546288347
absolute error = 1e-31
relative error = 7.1080926781123133363842279771556e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1247.4MB, alloc=4.6MB, time=70.85
x[1] = 0.42
y2[1] (analytic) = 1.4077604530595701859727871580863
y2[1] (numeric) = 1.4077604530595701859727871580864
absolute error = 1e-31
relative error = 7.1034812622178727307631452987902e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4077604530595701859727871580863
y1[1] (numeric) = 1.4077604530595701859727871580864
absolute error = 1e-31
relative error = 7.1034812622178727307631452987902e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1251.2MB, alloc=4.6MB, time=71.07
x[1] = 0.421
y2[1] (analytic) = 1.4086733379674914720354643513158
y2[1] (numeric) = 1.4086733379674914720354643513159
absolute error = 1e-31
relative error = 7.0988778806792281817865173858055e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4086733379674914720354643513158
y1[1] (numeric) = 1.4086733379674914720354643513159
absolute error = 1e-31
relative error = 7.0988778806792281817865173858055e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1255.0MB, alloc=4.6MB, time=71.29
x[1] = 0.422
y2[1] (analytic) = 1.4095858142021088467170315963406
y2[1] (numeric) = 1.4095858142021088467170315963407
absolute error = 1e-31
relative error = 7.0942825184860882417365036842568e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4095858142021088467170315963406
y1[1] (numeric) = 1.4095858142021088467170315963407
absolute error = 1e-31
relative error = 7.0942825184860882417365036842568e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1258.8MB, alloc=4.6MB, time=71.50
x[1] = 0.423
y2[1] (analytic) = 1.410497880850946151439797895052
y2[1] (numeric) = 1.410497880850946151439797895052
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.410497880850946151439797895052
y1[1] (numeric) = 1.410497880850946151439797895052
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1262.6MB, alloc=4.6MB, time=71.72
x[1] = 0.424
y2[1] (analytic) = 1.4114095370019368133720100609405
y2[1] (numeric) = 1.4114095370019368133720100609405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.4114095370019368133720100609405
y1[1] (numeric) = 1.4114095370019368133720100609405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1266.4MB, alloc=4.6MB, time=71.93
x[1] = 0.425
y2[1] (analytic) = 1.4123207817434247574943495453043
y2[1] (numeric) = 1.4123207817434247574943495453043
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.4123207817434247574943495453043
y1[1] (numeric) = 1.4123207817434247574943495453043
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1270.3MB, alloc=4.6MB, time=72.15
x[1] = 0.426
y2[1] (analytic) = 1.4132316141641653182559314852307
y2[1] (numeric) = 1.4132316141641653182559314852307
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.4132316141641653182559314852307
y1[1] (numeric) = 1.4132316141641653182559314852307
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1274.1MB, alloc=4.6MB, time=72.37
x[1] = 0.427
y2[1] (analytic) = 1.4141420333533261508188943174277
y2[1] (numeric) = 1.4141420333533261508188943174277
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.4141420333533261508188943174277
y1[1] (numeric) = 1.4141420333533261508188943174277
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1277.9MB, alloc=4.6MB, time=72.59
x[1] = 0.428
y2[1] (analytic) = 1.415052038400488141890668713393
y2[1] (numeric) = 1.4150520384004881418906687133931
absolute error = 1e-31
relative error = 7.0668779158846730656410996614544e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.415052038400488141890668713393
y1[1] (numeric) = 1.4150520384004881418906687133931
absolute error = 1e-31
relative error = 7.0668779158846730656410996614544e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1281.7MB, alloc=4.6MB, time=72.80
x[1] = 0.429
y2[1] (analytic) = 1.4159616283956463201430150037265
y2[1] (numeric) = 1.4159616283956463201430150037266
absolute error = 1e-31
relative error = 7.0623382720692003463321548169335e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4159616283956463201430150037265
y1[1] (numeric) = 1.4159616283956463201430150037266
absolute error = 1e-31
relative error = 7.0623382720692003463321548169335e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1285.5MB, alloc=4.6MB, time=73.02
x[1] = 0.43
y2[1] (analytic) = 1.4168708024292107662169186726246
y2[1] (numeric) = 1.4168708024292107662169186726246
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.4168708024292107662169186726246
y1[1] (numeric) = 1.4168708024292107662169186726246
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1289.3MB, alloc=4.6MB, time=73.23
x[1] = 0.431
y2[1] (analytic) = 1.4177795595920075223124339177373
y2[1] (numeric) = 1.4177795595920075223124339177373
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.4177795595920075223124339177373
y1[1] (numeric) = 1.4177795595920075223124339177373
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1293.2MB, alloc=4.6MB, time=73.45
x[1] = 0.432
y2[1] (analytic) = 1.4186878989752795013625656856203
y2[1] (numeric) = 1.4186878989752795013625656856204
absolute error = 1e-31
relative error = 7.0487666859095758222539262364922e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4186878989752795013625656856203
y1[1] (numeric) = 1.4186878989752795013625656856204
absolute error = 1e-31
relative error = 7.0487666859095758222539262364922e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1297.0MB, alloc=4.6MB, time=73.67
x[1] = 0.433
y2[1] (analytic) = 1.4195958196706873957902810089753
y2[1] (numeric) = 1.4195958196706873957902810089754
absolute error = 1e-31
relative error = 7.0442585568614615462073174927280e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4195958196706873957902810089753
y1[1] (numeric) = 1.4195958196706873957902810089754
absolute error = 1e-31
relative error = 7.0442585568614615462073174927280e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1300.8MB, alloc=4.6MB, time=73.88
x[1] = 0.434
y2[1] (analytic) = 1.4205033207703105858477408887429
y2[1] (numeric) = 1.420503320770310585847740888743
absolute error = 1e-31
relative error = 7.0397582700314981895188796382634e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4205033207703105858477408887429
y1[1] (numeric) = 1.420503320770310585847740888743
absolute error = 1e-31
relative error = 7.0397582700314981895188796382634e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1304.6MB, alloc=4.6MB, time=74.10
x[1] = 0.435
y2[1] (analytic) = 1.4214104013666480475368443818927
y2[1] (numeric) = 1.4214104013666480475368443818928
absolute error = 1e-31
relative error = 7.0352658109053287605209010865791e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4214104013666480475368443818927
y1[1] (numeric) = 1.4214104013666480475368443818928
absolute error = 1e-31
relative error = 7.0352658109053287605209010865791e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1308.4MB, alloc=4.6MB, time=74.32
x[1] = 0.436
y2[1] (analytic) = 1.4223170605526192601101769744414
y2[1] (numeric) = 1.4223170605526192601101769744415
absolute error = 1e-31
relative error = 7.0307811650059621126936613732069e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4223170605526192601101769744414
y1[1] (numeric) = 1.4223170605526192601101769744415
absolute error = 1e-31
relative error = 7.0307811650059621126936613732069e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1312.2MB, alloc=4.6MB, time=74.53
x[1] = 0.437
y2[1] (analytic) = 1.4232232974215651131514557388264
y2[1] (numeric) = 1.4232232974215651131514557388265
absolute error = 1e-31
relative error = 7.0263043178936630526436610892146e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4232232974215651131514557388264
y1[1] (numeric) = 1.4232232974215651131514557388265
absolute error = 1e-31
relative error = 7.0263043178936630526436610892146e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1316.0MB, alloc=4.6MB, time=74.75
x[1] = 0.438
y2[1] (analytic) = 1.4241291110672488132345641952656
y2[1] (numeric) = 1.4241291110672488132345641952656
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.4241291110672488132345641952656
y1[1] (numeric) = 1.4241291110672488132345641952656
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1319.9MB, alloc=4.6MB, time=74.97
x[1] = 0.439
y2[1] (analytic) = 1.425034500583856790160270218143
y2[1] (numeric) = 1.425034500583856790160270218143
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.425034500583856790160270218143
y1[1] (numeric) = 1.425034500583856790160270218143
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1323.7MB, alloc=4.6MB, time=75.19
x[1] = 0.44
y2[1] (analytic) = 1.4259394650659996027697207507799
y2[1] (numeric) = 1.42593946506599960276972075078
absolute error = 1e-31
relative error = 7.0129204254383618154964292748691e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4259394650659996027697207507799
y1[1] (numeric) = 1.42593946506599960276972075078
absolute error = 1e-31
relative error = 7.0129204254383618154964292748691e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1327.5MB, alloc=4.6MB, time=75.40
TOP MAIN SOLVE Loop
x[1] = 0.441
y2[1] (analytic) = 1.4268440036087128443338075151701
y2[1] (numeric) = 1.4268440036087128443338075151702
absolute error = 1e-31
relative error = 7.0084746298182755677475337678301e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4268440036087128443338075151701
y1[1] (numeric) = 1.4268440036087128443338075151702
absolute error = 1e-31
relative error = 7.0084746298182755677475337678301e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1331.3MB, alloc=4.6MB, time=75.62
TOP MAIN SOLVE Loop
x[1] = 0.442
y2[1] (analytic) = 1.4277481153074580475174983273898
y2[1] (numeric) = 1.4277481153074580475174983273899
absolute error = 1e-31
relative error = 7.0040365613416009266513641825170e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4277481153074580475174983273898
y1[1] (numeric) = 1.4277481153074580475174983273899
absolute error = 1e-31
relative error = 7.0040365613416009266513641825170e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1335.1MB, alloc=4.6MB, time=75.84
TOP MAIN SOLVE Loop
x[1] = 0.443
y2[1] (analytic) = 1.4286517992581235889182290544272
y2[1] (numeric) = 1.4286517992581235889182290544273
absolute error = 1e-31
relative error = 6.9996062057898521745726057039071e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4286517992581235889182290544272
y1[1] (numeric) = 1.4286517992581235889182290544273
absolute error = 1e-31
relative error = 6.9996062057898521745726057039071e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1338.9MB, alloc=4.6MB, time=76.06
TOP MAIN SOLVE Loop
x[1] = 0.444
y2[1] (analytic) = 1.4295550545570255931774516741134
y2[1] (numeric) = 1.4295550545570255931774516741136
absolute error = 2e-31
relative error = 1.3990367097962082031495772041737e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4295550545570255931774516741134
y1[1] (numeric) = 1.4295550545570255931774516741136
absolute error = 2e-31
relative error = 1.3990367097962082031495772041737e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1342.7MB, alloc=4.6MB, time=76.28
TOP MAIN SOLVE Loop
memory used=1346.6MB, alloc=4.6MB, time=76.49
x[1] = 0.445
y2[1] (analytic) = 1.4304578803009088366644343266839
y2[1] (numeric) = 1.4304578803009088366644343266841
absolute error = 2e-31
relative error = 1.3981537153539139453968383215762e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4304578803009088366644343266839
y1[1] (numeric) = 1.4304578803009088366644343266841
absolute error = 2e-31
relative error = 1.3981537153539139453968383215762e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1350.4MB, alloc=4.6MB, time=76.71
x[1] = 0.446
y2[1] (analytic) = 1.4313602755869476507314096742436
y2[1] (numeric) = 1.4313602755869476507314096742438
absolute error = 2e-31
relative error = 1.3972722550092249363914729646928e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4313602755869476507314096742436
y1[1] (numeric) = 1.4313602755869476507314096742438
absolute error = 2e-31
relative error = 1.3972722550092249363914729646928e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1354.2MB, alloc=4.6MB, time=76.93
x[1] = 0.447
y2[1] (analytic) = 1.4322622395127468245391683130648
y2[1] (numeric) = 1.432262239512746824539168313065
absolute error = 2e-31
relative error = 1.3963923259475140495270355903392e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4322622395127468245391683130648
y1[1] (numeric) = 1.432262239512746824539168313065
absolute error = 2e-31
relative error = 1.3963923259475140495270355903392e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1358.0MB, alloc=4.6MB, time=77.15
x[1] = 0.448
y2[1] (analytic) = 1.4331637711763425074521944131981
y2[1] (numeric) = 1.4331637711763425074521944131983
absolute error = 2e-31
relative error = 1.3955139253613686102712135734871e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4331637711763425074521944131981
y1[1] (numeric) = 1.4331637711763425074521944131983
absolute error = 2e-31
relative error = 1.3955139253613686102712135734871e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1361.8MB, alloc=4.6MB, time=77.37
x[1] = 0.449
y2[1] (analytic) = 1.4340648696762031110024411903364
y2[1] (numeric) = 1.4340648696762031110024411903366
absolute error = 2e-31
relative error = 1.3946370504505693234202339959084e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4340648696762031110024411903364
y1[1] (numeric) = 1.4340648696762031110024411903366
absolute error = 2e-31
relative error = 1.3946370504505693234202339959084e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1365.6MB, alloc=4.6MB, time=77.58
x[1] = 0.45
y2[1] (analytic) = 1.4349655341112302104208442462319
y2[1] (numeric) = 1.4349655341112302104208442462321
absolute error = 2e-31
relative error = 1.3937616984220692739007625354088e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4349655341112302104208442462319
y1[1] (numeric) = 1.4349655341112302104208442462321
absolute error = 2e-31
relative error = 1.3937616984220692739007625354088e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1369.4MB, alloc=4.6MB, time=77.80
x[1] = 0.451
y2[1] (analytic) = 1.4358657635807594457356712462275
y2[1] (numeric) = 1.4358657635807594457356712462277
absolute error = 2e-31
relative error = 1.3928878664899730008294247694083e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4358657635807594457356712462275
y1[1] (numeric) = 1.4358657635807594457356712462277
absolute error = 2e-31
relative error = 1.3928878664899730008294247694083e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1373.3MB, alloc=4.6MB, time=78.02
x[1] = 0.452
y2[1] (analytic) = 1.4367655571845614224368068356284
y2[1] (numeric) = 1.4367655571845614224368068356286
absolute error = 2e-31
relative error = 1.3920155518755156445413718650968e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4367655571845614224368068356284
y1[1] (numeric) = 1.4367655571845614224368068356286
absolute error = 2e-31
relative error = 1.3920155518755156445413718650968e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1377.1MB, alloc=4.6MB, time=78.23
x[1] = 0.453
y2[1] (analytic) = 1.4376649140228426117050721307038
y2[1] (numeric) = 1.437664914022842611705072130704
absolute error = 2e-31
relative error = 1.3911447518070421663005979114133e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4376649140228426117050721307038
y1[1] (numeric) = 1.437664914022842611705072130704
absolute error = 2e-31
relative error = 1.3911447518070421663005979114133e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1380.9MB, alloc=4.6MB, time=78.45
x[1] = 0.454
y2[1] (analytic) = 1.4385638331962462502056785550742
y2[1] (numeric) = 1.4385638331962462502056785550744
absolute error = 2e-31
relative error = 1.3902754635199866404059950902980e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4385638331962462502056785550742
y1[1] (numeric) = 1.4385638331962462502056785550744
absolute error = 2e-31
relative error = 1.3902754635199866404059950902980e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1384.7MB, alloc=4.6MB, time=78.67
x[1] = 0.455
y2[1] (analytic) = 1.4394623138058532394449162281053
y2[1] (numeric) = 1.4394623138058532394449162281055
absolute error = 2e-31
relative error = 1.3894076842568516184084055205015e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4394623138058532394449162281053
y1[1] (numeric) = 1.4394623138058532394449162281055
absolute error = 2e-31
relative error = 1.3894076842568516184084055205015e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1388.5MB, alloc=4.6MB, time=78.88
x[1] = 0.456
y2[1] (analytic) = 1.4403603549531830446891775486958
y2[1] (numeric) = 1.440360354953183044689177548696
absolute error = 2e-31
relative error = 1.3885414112671875651551949709154e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4403603549531830446891775486958
y1[1] (numeric) = 1.440360354953183044689177548696
absolute error = 2e-31
relative error = 1.3885414112671875651551949709154e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1392.3MB, alloc=4.6MB, time=79.09
x[1] = 0.457
y2[1] (analytic) = 1.4412579557401945934454170555095
y2[1] (numeric) = 1.4412579557401945934454170555097
absolute error = 2e-31
relative error = 1.3876766418075723663801337659614e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4412579557401945934454170555095
y1[1] (numeric) = 1.4412579557401945934454170555097
absolute error = 2e-31
relative error = 1.3876766418075723663801337659614e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1396.1MB, alloc=4.6MB, time=79.31
x[1] = 0.458
y2[1] (analytic) = 1.442155115269287173502149083267
y2[1] (numeric) = 1.4421551152692871735021490832672
absolute error = 2e-31
relative error = 1.3868133731415909075576241268581e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.442155115269287173502149083267
y1[1] (numeric) = 1.4421551152692871735021490832672
absolute error = 2e-31
relative error = 1.3868133731415909075576241268581e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1400.0MB, alloc=4.6MB, time=79.53
x[1] = 0.459
y2[1] (analytic) = 1.443051832643301330530085174175
y2[1] (numeric) = 1.4430518326433013305300851741752
absolute error = 2e-31
relative error = 1.3859516025398147237415609432060e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.443051832643301330530085174175
y1[1] (numeric) = 1.4430518326433013305300851741752
absolute error = 2e-31
relative error = 1.3859516025398147237415609432060e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1403.8MB, alloc=4.6MB, time=79.74
x[1] = 0.46
y2[1] (analytic) = 1.4439481069655197652415136439289
y2[1] (numeric) = 1.4439481069655197652415136439291
absolute error = 2e-31
relative error = 1.3850913272797817201103545827305e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4439481069655197652415136439289
y1[1] (numeric) = 1.4439481069655197652415136439291
absolute error = 2e-31
relative error = 1.3850913272797817201103545827305e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1407.6MB, alloc=4.6MB, time=79.96
x[1] = 0.461
y2[1] (analytic) = 1.4448439373396682301075241429856
y2[1] (numeric) = 1.4448439373396682301075241429858
absolute error = 2e-31
relative error = 1.3842325446459759629408798564170e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4448439373396682301075241429856
y1[1] (numeric) = 1.4448439373396682301075241429858
absolute error = 2e-31
relative error = 1.3842325446459759629408798564170e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1411.4MB, alloc=4.6MB, time=80.18
x[1] = 0.462
y2[1] (analytic) = 1.4457393228699164256321804959556
y2[1] (numeric) = 1.4457393228699164256321804959559
absolute error = 3e-31
relative error = 2.0750628778947113111030170420665e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4457393228699164256321804959556
y1[1] (numeric) = 1.4457393228699164256321804959559
absolute error = 3e-31
relative error = 2.0750628778947113111030170420665e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1415.2MB, alloc=4.6MB, time=80.40
x[1] = 0.463
y2[1] (analytic) = 1.446634262660878896182745545017
y2[1] (numeric) = 1.4466342626608788961827455450173
absolute error = 3e-31
relative error = 2.0737791696443887428394432361618e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.446634262660878896182745545017
y1[1] (numeric) = 1.4466342626608788961827455450173
absolute error = 3e-31
relative error = 2.0737791696443887428394432361618e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1419.0MB, alloc=4.6MB, time=80.62
x[1] = 0.464
y2[1] (analytic) = 1.4475287558176159253750621672001
y2[1] (numeric) = 1.4475287558176159253750621672004
absolute error = 3e-31
relative error = 2.0724976881757992329792901924556e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4475287558176159253750621672001
y1[1] (numeric) = 1.4475287558176159253750621672004
absolute error = 3e-31
relative error = 2.0724976881757992329792901924556e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1422.9MB, alloc=4.6MB, time=80.83
x[1] = 0.465
y2[1] (analytic) = 1.4484228014456344310131950802375
y2[1] (numeric) = 1.4484228014456344310131950802378
absolute error = 3e-31
relative error = 2.0712184294570448105538116998624e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4484228014456344310131950802375
y1[1] (numeric) = 1.4484228014456344310131950802378
absolute error = 3e-31
relative error = 2.0712184294570448105538116998624e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1426.7MB, alloc=4.6MB, time=81.05
x[1] = 0.466
y2[1] (analytic) = 1.4493163986508888595824384974118
y2[1] (numeric) = 1.449316398650888859582438497412
absolute error = 2e-31
relative error = 1.3799609263109978325140768698015e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4493163986508888595824384974118
y1[1] (numeric) = 1.449316398650888859582438497412
absolute error = 2e-31
relative error = 1.3799609263109978325140768698015e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1430.5MB, alloc=4.6MB, time=81.27
x[1] = 0.467
y2[1] (analytic) = 1.4502095465397820802947951384674
y2[1] (numeric) = 1.4502095465397820802947951384676
absolute error = 2e-31
relative error = 1.3791110427951772511380882736165e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4502095465397820802947951384674
y1[1] (numeric) = 1.4502095465397820802947951384676
absolute error = 2e-31
relative error = 1.3791110427951772511380882736165e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1434.3MB, alloc=4.6MB, time=81.48
x[1] = 0.468
y2[1] (analytic) = 1.4511022442191662786860325511832
y2[1] (numeric) = 1.4511022442191662786860325511834
absolute error = 2e-31
relative error = 1.3782626330897819958534223104394e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4511022442191662786860325511832
y1[1] (numeric) = 1.4511022442191662786860325511834
absolute error = 2e-31
relative error = 1.3782626330897819958534223104394e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1438.1MB, alloc=4.6MB, time=81.70
x[1] = 0.469
y2[1] (analytic) = 1.4519944907963438497634231466225
y2[1] (numeric) = 1.4519944907963438497634231466227
absolute error = 2e-31
relative error = 1.3774156945341462577382911993387e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4519944907963438497634231466225
y1[1] (numeric) = 1.4519944907963438497634231466227
absolute error = 2e-31
relative error = 1.3774156945341462577382911993387e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1441.9MB, alloc=4.6MB, time=81.92
x[1] = 0.47
y2[1] (analytic) = 1.4528862853790682907032748003964
y2[1] (numeric) = 1.4528862853790682907032748003966
absolute error = 2e-31
relative error = 1.3765702244743716318964884762634e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4528862853790682907032748003964
y1[1] (numeric) = 1.4528862853790682907032748003966
absolute error = 2e-31
relative error = 1.3765702244743716318964884762634e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1445.7MB, alloc=4.6MB, time=82.14
x[1] = 0.471
y2[1] (analytic) = 1.4537776270755450930973593224828
y2[1] (numeric) = 1.453777627075545093097359322483
absolute error = 2e-31
relative error = 1.3757262202633075977401392285386e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4537776270755450930973593224828
y1[1] (numeric) = 1.453777627075545093097359322483
absolute error = 2e-31
relative error = 1.3757262202633075977401392285386e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1449.6MB, alloc=4.6MB, time=82.35
x[1] = 0.472
y2[1] (analytic) = 1.4546685149944326347473465492482
y2[1] (numeric) = 1.4546685149944326347473465492485
absolute error = 3e-31
relative error = 2.0623255188907981000974185016205e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4546685149944326347473465492482
y1[1] (numeric) = 1.4546685149944326347473465492485
absolute error = 3e-31
relative error = 2.0623255188907981000974185016205e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1453.4MB, alloc=4.6MB, time=82.57
x[1] = 0.473
y2[1] (analytic) = 1.4555589482448430710063522633121
y2[1] (numeric) = 1.4555589482448430710063522633123
absolute error = 2e-31
relative error = 1.3740425988323319973217206585400e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4555589482448430710063522633121
y1[1] (numeric) = 1.4555589482448430710063522633123
absolute error = 2e-31
relative error = 1.3740425988323319973217206585400e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1457.2MB, alloc=4.6MB, time=82.79
x[1] = 0.474
y2[1] (analytic) = 1.4564489259363432256667085997792
y2[1] (numeric) = 1.4564489259363432256667085997795
absolute error = 3e-31
relative error = 2.0598044645275261152337413724455e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4564489259363432256667085997792
y1[1] (numeric) = 1.4564489259363432256667085997795
absolute error = 3e-31
relative error = 2.0598044645275261152337413724455e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1461.0MB, alloc=4.6MB, time=83.01
x[1] = 0.475
y2[1] (analytic) = 1.4573384471789554813930660511461
y2[1] (numeric) = 1.4573384471789554813930660511464
absolute error = 3e-31
relative error = 2.0585472137973532049309475167230e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4573384471789554813930660511461
y1[1] (numeric) = 1.4573384471789554813930660511464
absolute error = 3e-31
relative error = 2.0585472137973532049309475167230e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1464.8MB, alloc=4.6MB, time=83.22
x[1] = 0.476
y2[1] (analytic) = 1.4582275110831586696999366378509
y2[1] (numeric) = 1.4582275110831586696999366378512
absolute error = 3e-31
relative error = 2.0572921421374269507083237401970e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4582275110831586696999366378509
y1[1] (numeric) = 1.4582275110831586696999366378512
absolute error = 3e-31
relative error = 2.0572921421374269507083237401970e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1468.6MB, alloc=4.6MB, time=83.44
x[1] = 0.477
y2[1] (analytic) = 1.4591161167598889604727882670001
y2[1] (numeric) = 1.4591161167598889604727882670004
absolute error = 3e-31
relative error = 2.0560392456371432984306338850387e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4591161167598889604727882670001
y1[1] (numeric) = 1.4591161167598889604727882670004
absolute error = 3e-31
relative error = 2.0560392456371432984306338850387e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1472.4MB, alloc=4.6MB, time=83.66
x[1] = 0.478
y2[1] (analytic) = 1.4600042633205407510318007582506
y2[1] (numeric) = 1.4600042633205407510318007582509
absolute error = 3e-31
relative error = 2.0547885203958178747186314812735e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4600042633205407510318007582506
y1[1] (numeric) = 1.4600042633205407510318007582509
absolute error = 3e-31
relative error = 2.0547885203958178747186314812735e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1476.3MB, alloc=4.6MB, time=83.87
x[1] = 0.479
y2[1] (analytic) = 1.4608919498769675547373944731655
y2[1] (numeric) = 1.4608919498769675547373944731658
absolute error = 3e-31
relative error = 2.0535399625226575059391913718104e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4608919498769675547373944731655
y1[1] (numeric) = 1.4608919498769675547373944731658
absolute error = 3e-31
relative error = 2.0535399625226575059391913718104e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1480.1MB, alloc=4.6MB, time=84.09
x[1] = 0.48
y2[1] (analytic) = 1.4617791755414828891366429425886
y2[1] (numeric) = 1.4617791755414828891366429425889
absolute error = 3e-31
relative error = 2.0522935681367318352779055472654e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4617791755414828891366429425886
y1[1] (numeric) = 1.4617791755414828891366429425889
absolute error = 3e-31
relative error = 2.0522935681367318352779055472654e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1483.9MB, alloc=4.6MB, time=84.30
x[1] = 0.481
y2[1] (analytic) = 1.4626659394268611636496813457004
y2[1] (numeric) = 1.4626659394268611636496813457007
absolute error = 3e-31
relative error = 2.0510493333669450375135061133943e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4626659394268611636496813457004
y1[1] (numeric) = 1.4626659394268611636496813457007
absolute error = 3e-31
relative error = 2.0510493333669450375135061133943e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1487.7MB, alloc=4.6MB, time=84.52
x[1] = 0.482
y2[1] (analytic) = 1.4635522406463385667952231544191
y2[1] (numeric) = 1.4635522406463385667952231544193
absolute error = 2e-31
relative error = 1.3665381695680050874101002083019e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4635522406463385667952231544191
y1[1] (numeric) = 1.4635522406463385667952231544193
absolute error = 2e-31
relative error = 1.3665381695680050874101002083019e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1491.5MB, alloc=4.6MB, time=84.73
x[1] = 0.483
y2[1] (analytic) = 1.4644380783136139529542977177052
y2[1] (numeric) = 1.4644380783136139529542977177054
absolute error = 2e-31
relative error = 1.3657115514936055915235109251776e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4644380783136139529542977177052
y1[1] (numeric) = 1.4644380783136139529542977177054
absolute error = 2e-31
relative error = 1.3657115514936055915235109251776e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1495.3MB, alloc=4.6MB, time=84.95
x[1] = 0.484
y2[1] (analytic) = 1.4653234515428497286713220221064
y2[1] (numeric) = 1.4653234515428497286713220221065
absolute error = 1e-31
relative error = 6.8244318273012877852410495392399e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4653234515428497286713220221064
y1[1] (numeric) = 1.4653234515428497286713220221065
absolute error = 1e-31
relative error = 6.8244318273012877852410495392399e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1499.1MB, alloc=4.6MB, time=85.17
x[1] = 0.485
y2[1] (analytic) = 1.4662083594486727384916203275428
y2[1] (numeric) = 1.4662083594486727384916203275429
absolute error = 1e-31
relative error = 6.8203130445663428855982251168967e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4662083594486727384916203275428
y1[1] (numeric) = 1.4662083594486727384916203275429
absolute error = 1e-31
relative error = 6.8203130445663428855982251168967e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1503.0MB, alloc=4.6MB, time=85.39
x[1] = 0.486
y2[1] (analytic) = 1.4670928011461751503345058408895
y2[1] (numeric) = 1.4670928011461751503345058408896
absolute error = 1e-31
relative error = 6.8162013965220464169894875020069e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4670928011461751503345058408895
y1[1] (numeric) = 1.4670928011461751503345058408896
absolute error = 1e-31
relative error = 6.8162013965220464169894875020069e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1506.8MB, alloc=4.6MB, time=85.61
x[1] = 0.487
y2[1] (analytic) = 1.4679767757509153404010390543462
y2[1] (numeric) = 1.4679767757509153404010390543463
absolute error = 1e-31
relative error = 6.8120968704594743739553174860115e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4679767757509153404010390543462
y1[1] (numeric) = 1.4679767757509153404010390543463
absolute error = 1e-31
relative error = 6.8120968704594743739553174860115e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1510.6MB, alloc=4.6MB, time=85.82
x[1] = 0.488
y2[1] (analytic) = 1.4688602823789187776155778409106
y2[1] (numeric) = 1.4688602823789187776155778409107
absolute error = 1e-31
relative error = 6.8079994537018335478389492628169e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4688602823789187776155778409106
y1[1] (numeric) = 1.4688602823789187776155778409107
absolute error = 1e-31
relative error = 6.8079994537018335478389492628169e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1514.4MB, alloc=4.6MB, time=86.04
x[1] = 0.489
y2[1] (analytic) = 1.4697433201466789076002348654785
y2[1] (numeric) = 1.4697433201466789076002348654787
absolute error = 2e-31
relative error = 1.3607818267208739606139731369318e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4697433201466789076002348654785
y1[1] (numeric) = 1.4697433201466789076002348654787
absolute error = 2e-31
relative error = 1.3607818267208739606139731369318e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1518.2MB, alloc=4.6MB, time=86.26
x[1] = 0.49
y2[1] (analytic) = 1.470625888171158036181358337188
y2[1] (numeric) = 1.4706258881711580361813583371881
absolute error = 1e-31
relative error = 6.7998258975542766679485161382967e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.470625888171158036181358337188
y1[1] (numeric) = 1.4706258881711580361813583371881
absolute error = 1e-31
relative error = 6.7998258975542766679485161382967e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1522.0MB, alloc=4.6MB, time=86.47
x[1] = 0.491
y2[1] (analytic) = 1.4715079855697882124271525965983
y2[1] (numeric) = 1.4715079855697882124271525965984
absolute error = 1e-31
relative error = 6.7957497329706042387179977266591e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4715079855697882124271525965983
y1[1] (numeric) = 1.4715079855697882124271525965984
absolute error = 1e-31
relative error = 6.7957497329706042387179977266591e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1525.9MB, alloc=4.6MB, time=86.69
x[1] = 0.492
y2[1] (analytic) = 1.4723896114604721112155555001594
y2[1] (numeric) = 1.4723896114604721112155555001595
absolute error = 1e-31
relative error = 6.7916806273041683957137491818290e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4723896114604721112155555001594
y1[1] (numeric) = 1.4723896114604721112155555001595
absolute error = 1e-31
relative error = 6.7916806273041683957137491818290e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1529.7MB, alloc=4.6MB, time=86.91
x[1] = 0.493
y2[1] (analytic) = 1.4732707649615839153314900341658
y2[1] (numeric) = 1.473270764961583915331490034166
absolute error = 2e-31
relative error = 1.3575237136074920660775179976117e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4732707649615839153314900341658
y1[1] (numeric) = 1.473270764961583915331490034166
absolute error = 2e-31
relative error = 1.3575237136074920660775179976117e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1533.5MB, alloc=4.6MB, time=87.12
x[1] = 0.494
y2[1] (analytic) = 1.4741514451919701970926080610182
y2[1] (numeric) = 1.4741514451919701970926080610184
absolute error = 2e-31
relative error = 1.3567127085369112764015389390344e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4741514451919701970926080610182
y1[1] (numeric) = 1.4741514451919701970926080610184
absolute error = 2e-31
relative error = 1.3567127085369112764015389390344e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1537.3MB, alloc=4.6MB, time=87.34
x[1] = 0.495
y2[1] (analytic) = 1.4750316512709507995026445721214
y2[1] (numeric) = 1.4750316512709507995026445721216
absolute error = 2e-31
relative error = 1.3559031077582056365682648978821e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4750316512709507995026445721214
y1[1] (numeric) = 1.4750316512709507995026445721216
absolute error = 2e-31
relative error = 1.3559031077582056365682648978821e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1541.1MB, alloc=4.6MB, time=87.55
x[1] = 0.496
y2[1] (analytic) = 1.475911382318319716931501294139
y2[1] (numeric) = 1.4759113823183197169315012941391
absolute error = 1e-31
relative error = 6.7754745439338531106323448957300e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.475911382318319716931501294139
y1[1] (numeric) = 1.4759113823183197169315012941391
absolute error = 1e-31
relative error = 6.7754745439338531106323448957300e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1544.9MB, alloc=4.6MB, time=87.77
x[1] = 0.497
y2[1] (analytic) = 1.4767906374543459753211789685932
y2[1] (numeric) = 1.4767906374543459753211789685933
absolute error = 1e-31
relative error = 6.7714405457213250471907401473979e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4767906374543459753211789685932
y1[1] (numeric) = 1.4767906374543459753211789685933
absolute error = 1e-31
relative error = 6.7714405457213250471907401473979e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1548.7MB, alloc=4.6MB, time=87.98
x[1] = 0.498
y2[1] (analytic) = 1.4776694157997745119166780989527
y2[1] (numeric) = 1.4776694157997745119166780989528
absolute error = 1e-31
relative error = 6.7674135317929654419164914090751e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4776694157997745119166780989527
y1[1] (numeric) = 1.4776694157997745119166780989528
absolute error = 1e-31
relative error = 6.7674135317929654419164914090751e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1552.6MB, alloc=4.6MB, time=88.20
x[1] = 0.499
y2[1] (analytic) = 1.4785477164758270545209884343788
y2[1] (numeric) = 1.4785477164758270545209884343789
absolute error = 1e-31
relative error = 6.7633934898194346790853178115197e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4785477164758270545209884343788
y1[1] (numeric) = 1.4785477164758270545209884343789
absolute error = 1e-31
relative error = 6.7633934898194346790853178115197e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1556.4MB, alloc=4.6MB, time=88.42
x[1] = 0.5
y2[1] (analytic) = 1.4794255386042030002732879352156
y2[1] (numeric) = 1.4794255386042030002732879352157
absolute error = 1e-31
relative error = 6.7593804075024437477288862816615e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4794255386042030002732879352156
y1[1] (numeric) = 1.4794255386042030002732879352157
absolute error = 1e-31
relative error = 6.7593804075024437477288862816615e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1560.2MB, alloc=4.6MB, time=88.63
x[1] = 0.501
y2[1] (analytic) = 1.4803028813070802939494724420977
y2[1] (numeric) = 1.4803028813070802939494724420978
absolute error = 1e-31
relative error = 6.7553742725746662129471785626320e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4803028813070802939494724420977
y1[1] (numeric) = 1.4803028813070802939494724420978
absolute error = 1e-31
relative error = 6.7553742725746662129471785626320e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1564.0MB, alloc=4.6MB, time=88.85
x[1] = 0.502
y2[1] (analytic) = 1.4811797437071163057841377482187
y2[1] (numeric) = 1.4811797437071163057841377482188
absolute error = 1e-31
relative error = 6.7513750727996504874957617449846e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4811797437071163057841377482187
y1[1] (numeric) = 1.4811797437071163057841377482188
absolute error = 1e-31
relative error = 6.7513750727996504874957617449846e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1567.8MB, alloc=4.6MB, time=89.06
x[1] = 0.503
y2[1] (analytic) = 1.4820561249274487088131362528522
y2[1] (numeric) = 1.4820561249274487088131362528523
absolute error = 1e-31
relative error = 6.7473827959717324024957422027479e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4820561249274487088131362528522
y1[1] (numeric) = 1.4820561249274487088131362528523
absolute error = 1e-31
relative error = 6.7473827959717324024957422027479e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1571.6MB, alloc=4.6MB, time=89.28
x[1] = 0.504
y2[1] (analytic) = 1.4829320240916963557358308536409
y2[1] (numeric) = 1.482932024091696355735830853641
absolute error = 1e-31
relative error = 6.7433974299159480761191921752954e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4829320240916963557358308536409
y1[1] (numeric) = 1.482932024091696355735830853641
absolute error = 1e-31
relative error = 6.7433974299159480761191921752954e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1575.4MB, alloc=4.6MB, time=89.50
TOP MAIN SOLVE Loop
x[1] = 0.505
y2[1] (analytic) = 1.4838074403239601552961692154743
y2[1] (numeric) = 1.4838074403239601552961692154744
absolute error = 1e-31
relative error = 6.7394189624879470791078234866835e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4838074403239601552961692154743
y1[1] (numeric) = 1.4838074403239601552961692154744
absolute error = 1e-31
relative error = 6.7394189624879470791078234866835e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1579.3MB, alloc=4.6MB, time=89.72
TOP MAIN SOLVE Loop
x[1] = 0.506
y2[1] (analytic) = 1.4846823727488239481817020349524
y2[1] (numeric) = 1.4846823727488239481817020349524
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 1.4846823727488239481817020349524
y1[1] (numeric) = 1.4846823727488239481817020349524
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1583.1MB, alloc=4.6MB, time=89.94
TOP MAIN SOLVE Loop
x[1] = 0.507
y2[1] (analytic) = 1.4855568204913553824396694014904
y2[1] (numeric) = 1.4855568204913553824396694014905
absolute error = 1e-31
relative error = 6.7314826750904416808472712504248e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4855568204913553824396694014904
y1[1] (numeric) = 1.4855568204913553824396694014905
absolute error = 1e-31
relative error = 6.7314826750904416808472712504248e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1586.9MB, alloc=4.6MB, time=90.16
TOP MAIN SOLVE Loop
x[1] = 0.508
y2[1] (analytic) = 1.4864307826771067884092798390526
y2[1] (numeric) = 1.4864307826771067884092798390527
absolute error = 1e-31
relative error = 6.7275248309845263065524865017368e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4864307826771067884092798390526
y1[1] (numeric) = 1.4864307826771067884092798390527
absolute error = 1e-31
relative error = 6.7275248309845263065524865017368e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1590.7MB, alloc=4.6MB, time=90.38
TOP MAIN SOLVE Loop
x[1] = 0.509
memory used=1594.5MB, alloc=4.6MB, time=90.60
y2[1] (analytic) = 1.4873042584321160531693070963062
y2[1] (numeric) = 1.4873042584321160531693070963063
absolute error = 1e-31
relative error = 6.7235738372334007062745124500645e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4873042584321160531693070963062
y1[1] (numeric) = 1.4873042584321160531693070963063
absolute error = 1e-31
relative error = 6.7235738372334007062745124500645e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1598.3MB, alloc=4.6MB, time=90.81
x[1] = 0.51
y2[1] (analytic) = 1.4881772468829074945001302376746
y2[1] (numeric) = 1.4881772468829074945001302376747
absolute error = 1e-31
relative error = 6.7196296818444895062143521595631e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4881772468829074945001302376746
y1[1] (numeric) = 1.4881772468829074945001302376747
absolute error = 1e-31
relative error = 6.7196296818444895062143521595631e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1602.1MB, alloc=4.6MB, time=91.03
x[1] = 0.511
y2[1] (analytic) = 1.4890497471564927343593430733201
y2[1] (numeric) = 1.4890497471564927343593430733202
absolute error = 1e-31
relative error = 6.7156923528553159484103799866212e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4890497471564927343593430733201
y1[1] (numeric) = 1.4890497471564927343593430733202
absolute error = 1e-31
relative error = 6.7156923528553159484103799866212e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1606.0MB, alloc=4.6MB, time=91.25
x[1] = 0.512
y2[1] (analytic) = 1.4899217583803715718700594525215
y2[1] (numeric) = 1.4899217583803715718700594525216
absolute error = 1e-31
relative error = 6.7117618383334171025211904344850e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4899217583803715718700594525215
y1[1] (numeric) = 1.4899217583803715718700594525216
absolute error = 1e-31
relative error = 6.7117618383334171025211904344850e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1609.8MB, alloc=4.6MB, time=91.47
x[1] = 0.513
y2[1] (analytic) = 1.4907932796825328558210414322121
y2[1] (numeric) = 1.4907932796825328558210414322122
absolute error = 1e-31
relative error = 6.7078381263762593654805092991912e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4907932796825328558210414322121
y1[1] (numeric) = 1.4907932796825328558210414322122
absolute error = 1e-31
relative error = 6.7078381263762593654805092991912e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1613.6MB, alloc=4.6MB, time=91.68
x[1] = 0.514
y2[1] (analytic) = 1.4916643101914553566777778206244
y2[1] (numeric) = 1.4916643101914553566777778206246
absolute error = 2e-31
relative error = 1.3407842410222308495851490661266e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4916643101914553566777778206244
y1[1] (numeric) = 1.4916643101914553566777778206246
absolute error = 2e-31
relative error = 1.3407842410222308495851490661266e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1617.4MB, alloc=4.6MB, time=91.90
x[1] = 0.515
y2[1] (analytic) = 1.4925348490361086381036410850348
y2[1] (numeric) = 1.492534849036108638103641085035
absolute error = 2e-31
relative error = 1.3400022125390348892613023637733e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4925348490361086381036410850348
y1[1] (numeric) = 1.492534849036108638103641085035
absolute error = 2e-31
relative error = 1.3400022125390348892613023637733e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1621.2MB, alloc=4.6MB, time=92.12
x[1] = 0.516
y2[1] (analytic) = 1.4934048953459539279902511025232
y2[1] (numeric) = 1.4934048953459539279902511025234
absolute error = 2e-31
relative error = 1.3392215374630140399168351940075e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4934048953459539279902511025232
y1[1] (numeric) = 1.4934048953459539279902511025234
absolute error = 2e-31
relative error = 1.3392215374630140399168351940075e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1625.0MB, alloc=4.6MB, time=92.33
x[1] = 0.517
y2[1] (analytic) = 1.4942744482509449889961747234587
y2[1] (numeric) = 1.4942744482509449889961747234588
absolute error = 1e-31
relative error = 6.6922110671871859294381997784124e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4942744482509449889961747234587
y1[1] (numeric) = 1.4942744482509449889961747234588
absolute error = 1e-31
relative error = 6.6922110671871859294381997784124e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1628.9MB, alloc=4.6MB, time=92.55
x[1] = 0.518
y2[1] (analytic) = 1.4951435068815289885930906090811
y2[1] (numeric) = 1.4951435068815289885930906090813
absolute error = 2e-31
relative error = 1.3376642381114754325799438900171e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4951435068815289885930906090811
y1[1] (numeric) = 1.4951435068815289885930906090813
absolute error = 2e-31
relative error = 1.3376642381114754325799438900171e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1632.7MB, alloc=4.6MB, time=92.77
x[1] = 0.519
y2[1] (analytic) = 1.4960120703686473686185492970897
y2[1] (numeric) = 1.4960120703686473686185492970899
absolute error = 2e-31
relative error = 1.3368876091401855472674942816782e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4960120703686473686185492970897
y1[1] (numeric) = 1.4960120703686473686185492970899
absolute error = 2e-31
relative error = 1.3368876091401855472674942816782e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1636.5MB, alloc=4.6MB, time=92.98
x[1] = 0.52
y2[1] (analytic) = 1.4968801378437367143344589425478
y2[1] (numeric) = 1.4968801378437367143344589425479
absolute error = 1e-31
relative error = 6.6805616209224672797258116287453e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4968801378437367143344589425478
y1[1] (numeric) = 1.4968801378437367143344589425479
absolute error = 1e-31
relative error = 6.6805616209224672797258116287453e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1640.3MB, alloc=4.6MB, time=93.20
x[1] = 0.521
y2[1] (analytic) = 1.4977477084387296229904276756926
y2[1] (numeric) = 1.4977477084387296229904276756927
absolute error = 1e-31
relative error = 6.6766919045558889801291916285337e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.4977477084387296229904276756926
y1[1] (numeric) = 1.4977477084387296229904276756927
absolute error = 1e-31
relative error = 6.6766919045558889801291916285337e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1644.1MB, alloc=4.6MB, time=93.42
x[1] = 0.522
y2[1] (analytic) = 1.4986147812860555718910940133795
y2[1] (numeric) = 1.4986147812860555718910940133797
absolute error = 2e-31
relative error = 1.3345657769928535246684097984632e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4986147812860555718910940133795
y1[1] (numeric) = 1.4986147812860555718910940133797
absolute error = 2e-31
relative error = 1.3345657769928535246684097984632e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1647.9MB, alloc=4.6MB, time=93.63
x[1] = 0.523
y2[1] (analytic) = 1.4994813555186417859665772569024
y2[1] (numeric) = 1.4994813555186417859665772569026
absolute error = 2e-31
relative error = 1.3337945101079555825255285919355e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.4994813555186417859665772569024
y1[1] (numeric) = 1.4994813555186417859665772569026
absolute error = 2e-31
relative error = 1.3337945101079555825255285919355e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1651.7MB, alloc=4.6MB, time=93.85
x[1] = 0.524
y2[1] (analytic) = 1.5003474302699141048451803058119
y2[1] (numeric) = 1.5003474302699141048451803058121
absolute error = 2e-31
relative error = 1.3330245779407226127007832915351e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5003474302699141048451803058119
y1[1] (numeric) = 1.5003474302699141048451803058121
absolute error = 2e-31
relative error = 1.3330245779407226127007832915351e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1655.6MB, alloc=4.6MB, time=94.06
x[1] = 0.525
y2[1] (analytic) = 1.5012130046737978494274778151016
y2[1] (numeric) = 1.5012130046737978494274778151018
absolute error = 2e-31
relative error = 1.3322559781811807347057990272818e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5012130046737978494274778151016
y1[1] (numeric) = 1.5012130046737978494274778151018
absolute error = 2e-31
relative error = 1.3322559781811807347057990272818e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1659.4MB, alloc=4.6MB, time=94.28
x[1] = 0.526
y2[1] (analytic) = 1.5020780778647186879609231217462
y2[1] (numeric) = 1.5020780778647186879609231217464
absolute error = 2e-31
relative error = 1.3314887085251273732086883157176e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5020780778647186879609231217462
y1[1] (numeric) = 1.5020780778647186879609231217464
absolute error = 2e-31
relative error = 1.3314887085251273732086883157176e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1663.2MB, alloc=4.6MB, time=94.50
x[1] = 0.527
y2[1] (analytic) = 1.5029426489776035016141078660558
y2[1] (numeric) = 1.502942648977603501614107866056
absolute error = 2e-31
relative error = 1.3307227666741151413661738030400e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5029426489776035016141078660558
y1[1] (numeric) = 1.502942648977603501614107866056
absolute error = 2e-31
relative error = 1.3307227666741151413661738030400e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1667.0MB, alloc=4.6MB, time=94.71
x[1] = 0.528
y2[1] (analytic) = 1.5038067171478812495498087336605
y2[1] (numeric) = 1.5038067171478812495498087336607
absolute error = 2e-31
relative error = 1.3299581503354357785325967403921e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5038067171478812495498087336605
y1[1] (numeric) = 1.5038067171478812495498087336607
absolute error = 2e-31
relative error = 1.3299581503354357785325967403921e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1670.8MB, alloc=4.6MB, time=94.93
x[1] = 0.529
y2[1] (analytic) = 1.504670281511483833495956245149
y2[1] (numeric) = 1.5046702815114838334959562451492
absolute error = 2e-31
relative error = 1.3291948572221041421399137414038e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.504670281511483833495956245149
y1[1] (numeric) = 1.5046702815114838334959562451492
absolute error = 2e-31
relative error = 1.3291948572221041421399137414038e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1674.6MB, alloc=4.6MB, time=95.15
x[1] = 0.53
y2[1] (analytic) = 1.5055333412048469618136610224661
y2[1] (numeric) = 1.5055333412048469618136610224662
absolute error = 1e-31
relative error = 6.6421644252642112677183443406037e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.5055333412048469618136610224661
y1[1] (numeric) = 1.5055333412048469618136610224662
absolute error = 1e-31
relative error = 6.6421644252642112677183443406037e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1678.4MB, alloc=4.6MB, time=95.37
x[1] = 0.531
y2[1] (analytic) = 1.5063958953649110130614334641129
y2[1] (numeric) = 1.506395895364911013061433464113
absolute error = 1e-31
relative error = 6.6383611577603169881540419324482e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.5063958953649110130614334641129
y1[1] (numeric) = 1.506395895364911013061433464113
absolute error = 1e-31
relative error = 6.6383611577603169881540419324482e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1682.3MB, alloc=4.6MB, time=95.59
x[1] = 0.532
y2[1] (analytic) = 1.5072579431291218990547332650042
y2[1] (numeric) = 1.5072579431291218990547332650043
absolute error = 1e-31
relative error = 6.6345644722492813799304082429314e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.5072579431291218990547332650042
y1[1] (numeric) = 1.5072579431291218990547332650043
absolute error = 1e-31
relative error = 6.6345644722492813799304082429314e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1686.1MB, alloc=4.6MB, time=95.80
x[1] = 0.533
y2[1] (analytic) = 1.5081194836354319274199857215036
y2[1] (numeric) = 1.5081194836354319274199857215037
absolute error = 1e-31
relative error = 6.6307743574098460670732175881597e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.5081194836354319274199857215036
y1[1] (numeric) = 1.5081194836354319274199857215037
absolute error = 1e-31
relative error = 6.6307743574098460670732175881597e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1689.9MB, alloc=4.6MB, time=96.02
x[1] = 0.534
y2[1] (analytic) = 1.508980516022300663642202267693
y2[1] (numeric) = 1.5089805160223006636422022676931
absolute error = 1e-31
relative error = 6.6269908019489720880967078764287e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.508980516022300663642202267693
y1[1] (numeric) = 1.5089805160223006636422022676931
absolute error = 1e-31
relative error = 6.6269908019489720880967078764287e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1693.7MB, alloc=4.6MB, time=96.24
x[1] = 0.535
y2[1] (analytic) = 1.5098410394286957926053431953273
y2[1] (numeric) = 1.5098410394286957926053431953274
absolute error = 1e-31
relative error = 6.6232137946017614591601753016797e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.5098410394286957926053431953273
y1[1] (numeric) = 1.5098410394286957926053431953274
absolute error = 1e-31
relative error = 6.6232137946017614591601753016797e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1697.5MB, alloc=4.6MB, time=96.45
x[1] = 0.536
y2[1] (analytic) = 1.5107010529940939796245610171836
y2[1] (numeric) = 1.5107010529940939796245610171837
absolute error = 1e-31
relative error = 6.6194433241313790009957605261762e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.5107010529940939796245610171836
y1[1] (numeric) = 1.5107010529940939796245610171837
absolute error = 1e-31
relative error = 6.6194433241313790009957605261762e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1701.3MB, alloc=4.6MB, time=96.67
x[1] = 0.537
y2[1] (analytic) = 1.511560555858481730969463441633
y2[1] (numeric) = 1.5115605558584817309694634416332
absolute error = 2e-31
relative error = 1.3231358758657948857225473833000e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.511560555858481730969463441633
y1[1] (numeric) = 1.5115605558584817309694634416332
absolute error = 2e-31
relative error = 1.3231358758657948857225473833000e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1705.1MB, alloc=4.6MB, time=96.89
x[1] = 0.538
y2[1] (analytic) = 1.5124195471623562538775354352446
y2[1] (numeric) = 1.5124195471623562538775354352448
absolute error = 2e-31
relative error = 1.3223843898027209405575737760683e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5124195471623562538775354352446
y1[1] (numeric) = 1.5124195471623562538775354352448
absolute error = 2e-31
relative error = 1.3223843898027209405575737760683e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1709.0MB, alloc=4.6MB, time=97.10
x[1] = 0.539
y2[1] (analytic) = 1.5132780260467263160568603600697
y2[1] (numeric) = 1.5132780260467263160568603600698
absolute error = 1e-31
relative error = 6.6081710220321566423556456920712e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 1.5132780260467263160568603600697
y1[1] (numeric) = 1.5132780260467263160568603600698
absolute error = 1e-31
relative error = 6.6081710220321566423556456920712e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1712.8MB, alloc=4.6MB, time=97.32
x[1] = 0.54
y2[1] (analytic) = 1.5141359916531131046772806829582
y2[1] (numeric) = 1.5141359916531131046772806829584
absolute error = 2e-31
relative error = 1.3208853174518539592632826995509e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5141359916531131046772806829582
y1[1] (numeric) = 1.5141359916531131046772806829584
absolute error = 2e-31
relative error = 1.3208853174518539592632826995509e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1716.6MB, alloc=4.6MB, time=97.54
x[1] = 0.541
y2[1] (analytic) = 1.514993443123551084849139265818
y2[1] (numeric) = 1.5149934431235510848491392658182
absolute error = 2e-31
relative error = 1.3201377267194519149569251119036e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.514993443123551084849139265818
y1[1] (numeric) = 1.5149934431235510848491392658182
absolute error = 2e-31
relative error = 1.3201377267194519149569251119036e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1720.4MB, alloc=4.6MB, time=97.75
x[1] = 0.542
y2[1] (analytic) = 1.5158503796005888575887427581458
y2[1] (numeric) = 1.515850379600588857588742758146
absolute error = 2e-31
relative error = 1.3193914299952081275607216677827e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5158503796005888575887427581458
y1[1] (numeric) = 1.515850379600588857588742758146
absolute error = 2e-31
relative error = 1.3193914299952081275607216677827e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1724.2MB, alloc=4.6MB, time=97.97
x[1] = 0.543
y2[1] (analytic) = 1.51670680022729001726968912644
y2[1] (numeric) = 1.5167068002272900172696891264403
absolute error = 3e-31
relative error = 1.9779696376059151623172196496815e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.51670680022729001726968912644
y1[1] (numeric) = 1.5167068002272900172696891264403
absolute error = 3e-31
relative error = 1.9779696376059151623172196496815e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1728.0MB, alloc=4.6MB, time=98.19
x[1] = 0.544
y2[1] (analytic) = 1.5175627041472340085592018692383
y2[1] (numeric) = 1.5175627041472340085592018692386
absolute error = 3e-31
relative error = 1.9768540646139520912543040282447e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5175627041472340085592018692383
y1[1] (numeric) = 1.5175627041472340085592018692386
absolute error = 3e-31
relative error = 1.9768540646139520912543040282447e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1731.9MB, alloc=4.6MB, time=98.40
x[1] = 0.545
y2[1] (analytic) = 1.5184180905045169828386139815162
y2[1] (numeric) = 1.5184180905045169828386139815165
absolute error = 3e-31
relative error = 1.9757404227205995702123881659403e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5184180905045169828386139815162
y1[1] (numeric) = 1.5184180905045169828386139815165
absolute error = 3e-31
relative error = 1.9757404227205995702123881659403e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1735.7MB, alloc=4.6MB, time=98.62
x[1] = 0.546
y2[1] (analytic) = 1.5192729584437526541071452480364
y2[1] (numeric) = 1.5192729584437526541071452480367
absolute error = 3e-31
relative error = 1.9746287086377228006093725917199e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5192729584437526541071452480364
y1[1] (numeric) = 1.5192729584437526541071452480367
absolute error = 3e-31
relative error = 1.9746287086377228006093725917199e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1739.5MB, alloc=4.6MB, time=98.84
x[1] = 0.547
y2[1] (analytic) = 1.5201273071100731543681169619403
y2[1] (numeric) = 1.5201273071100731543681169619406
absolute error = 3e-31
relative error = 1.9735189190853529923274502509189e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5201273071100731543681169619403
y1[1] (numeric) = 1.5201273071100731543681169619406
absolute error = 3e-31
relative error = 1.9735189190853529923274502509189e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1743.3MB, alloc=4.6MB, time=99.06
x[1] = 0.548
y2[1] (analytic) = 1.5209811356491298884967486824406
y2[1] (numeric) = 1.5209811356491298884967486824409
absolute error = 3e-31
relative error = 1.9724110507916648384530105965906e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5209811356491298884967486824406
y1[1] (numeric) = 1.5209811356491298884967486824409
absolute error = 3e-31
relative error = 1.9724110507916648384530105965906e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1747.1MB, alloc=4.6MB, time=99.27
x[1] = 0.549
y2[1] (analytic) = 1.5218344432070943885886821638876
y2[1] (numeric) = 1.5218344432070943885886821638879
absolute error = 3e-31
relative error = 1.9713051004929540653665314810331e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5218344432070943885886821638876
y1[1] (numeric) = 1.5218344432070943885886821638879
absolute error = 3e-31
relative error = 1.9713051004929540653665314810331e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1750.9MB, alloc=4.6MB, time=99.49
x[1] = 0.55
y2[1] (analytic) = 1.5226872289306591677883781077573
y2[1] (numeric) = 1.5226872289306591677883781077576
absolute error = 3e-31
relative error = 1.9702010649336150579001937438213e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5226872289306591677883781077573
y1[1] (numeric) = 1.5226872289306591677883781077576
absolute error = 3e-31
relative error = 1.9702010649336150579001937438213e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1754.7MB, alloc=4.6MB, time=99.71
x[1] = 0.551
y2[1] (analytic) = 1.5235394919670385735965319092362
y2[1] (numeric) = 1.5235394919670385735965319092365
absolute error = 3e-31
relative error = 1.9690989408661185592821544877914e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5235394919670385735965319092362
y1[1] (numeric) = 1.5235394919670385735965319092365
absolute error = 3e-31
relative error = 1.9690989408661185592821544877914e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1758.6MB, alloc=4.6MB, time=99.93
x[1] = 0.552
y2[1] (analytic) = 1.5243912314639696406556550910571
y2[1] (numeric) = 1.5243912314639696406556550910574
absolute error = 3e-31
relative error = 1.9679987250509894455876104826618e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5243912314639696406556550910571
y1[1] (numeric) = 1.5243912314639696406556550910574
absolute error = 3e-31
relative error = 1.9679987250509894455876104826618e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1762.4MB, alloc=4.6MB, time=100.15
x[1] = 0.553
y2[1] (analytic) = 1.525242446569712943012969639076
y2[1] (numeric) = 1.5252424465697129430129696390763
absolute error = 3e-31
relative error = 1.9669004142567845744179729665876e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.525242446569712943012969639076
y1[1] (numeric) = 1.5252424465697129430129696390763
absolute error = 3e-31
relative error = 1.9669004142567845744179729665876e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1766.2MB, alloc=4.6MB, time=100.36
x[1] = 0.554
y2[1] (analytic) = 1.5260931364330534458597629767672
y2[1] (numeric) = 1.5260931364330534458597629767675
absolute error = 3e-31
relative error = 1.9658040052600707075306593580387e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5260931364330534458597629767672
y1[1] (numeric) = 1.5260931364330534458597629767675
absolute error = 3e-31
relative error = 1.9658040052600707075306593580387e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1770.0MB, alloc=4.6MB, time=100.58
x[1] = 0.555
y2[1] (analytic) = 1.5269433002033013567463518393519
y2[1] (numeric) = 1.5269433002033013567463518393522
absolute error = 3e-31
relative error = 1.9647094948454025071431860728961e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5269433002033013567463518393519
y1[1] (numeric) = 1.5269433002033013567463518393522
absolute error = 3e-31
relative error = 1.9647094948454025071431860728961e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1773.8MB, alloc=4.6MB, time=100.80
x[1] = 0.556
y2[1] (analytic) = 1.5277929370302929762718038326678
y2[1] (numeric) = 1.5277929370302929762718038326682
absolute error = 4e-31
relative error = 2.6181558397404008075152263911432e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5277929370302929762718038326678
y1[1] (numeric) = 1.5277929370302929762718038326682
absolute error = 4e-31
relative error = 2.6181558397404008075152263911432e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1777.6MB, alloc=4.6MB, time=101.01
x[1] = 0.557
y2[1] (analytic) = 1.5286420460643915482475659871291
y2[1] (numeric) = 1.5286420460643915482475659871294
absolute error = 3e-31
relative error = 1.9625261569402297483830121847351e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5286420460643915482475659871291
y1[1] (numeric) = 1.5286420460643915482475659871294
absolute error = 3e-31
relative error = 1.9625261569402297483830121847351e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1781.4MB, alloc=4.6MB, time=101.23
x[1] = 0.558
y2[1] (analytic) = 1.5294906264564881093341501432183
y2[1] (numeric) = 1.5294906264564881093341501432186
absolute error = 3e-31
relative error = 1.9614373230585770094282052319826e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5294906264564881093341501432183
y1[1] (numeric) = 1.5294906264564881093341501432186
absolute error = 3e-31
relative error = 1.9614373230585770094282052319826e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1785.3MB, alloc=4.6MB, time=101.44
x[1] = 0.559
y2[1] (analytic) = 1.530338677358002338150025531897
y2[1] (numeric) = 1.5303386773580023381500255318973
absolute error = 3e-31
relative error = 1.9603503749766300797513510980665e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.530338677358002338150025531897
y1[1] (numeric) = 1.5303386773580023381500255318973
absolute error = 3e-31
relative error = 1.9603503749766300797513510980665e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1789.1MB, alloc=4.6MB, time=101.66
x[1] = 0.56
y2[1] (analytic) = 1.531186197920883403851869441112
y2[1] (numeric) = 1.5311861979208834038518694411123
absolute error = 3e-31
relative error = 1.9592653095185556278376417192731e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.531186197920883403851869441112
y1[1] (numeric) = 1.5311861979208834038518694411123
absolute error = 3e-31
relative error = 1.9592653095185556278376417192731e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1792.9MB, alloc=4.6MB, time=101.88
x[1] = 0.561
y2[1] (analytic) = 1.5320331872976108141853273882178
y2[1] (numeric) = 1.5320331872976108141853273882181
absolute error = 3e-31
relative error = 1.9581821235163777322906892761426e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5320331872976108141853273882178
y1[1] (numeric) = 1.5320331872976108141853273882181
absolute error = 3e-31
relative error = 1.9581821235163777322906892761426e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1796.7MB, alloc=4.6MB, time=102.10
x[1] = 0.562
y2[1] (analytic) = 1.5328796446411952630054347476258
y2[1] (numeric) = 1.532879644641195263005434747626
absolute error = 2e-31
relative error = 1.3047338758733042574784928271987e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5328796446411952630054347476258
y1[1] (numeric) = 1.532879644641195263005434747626
absolute error = 2e-31
relative error = 1.3047338758733042574784928271987e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1800.5MB, alloc=4.6MB, time=102.32
x[1] = 0.563
y2[1] (analytic) = 1.5337255691051794772658523133289
y2[1] (numeric) = 1.5337255691051794772658523133291
absolute error = 2e-31
relative error = 1.3040142514979773820802886197566e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5337255691051794772658523133289
y1[1] (numeric) = 1.5337255691051794772658523133291
absolute error = 2e-31
relative error = 1.3040142514979773820802886197566e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1804.3MB, alloc=4.6MB, time=102.53
x[1] = 0.564
y2[1] (analytic) = 1.5345709598436390634760688071373
y2[1] (numeric) = 1.5345709598436390634760688071375
absolute error = 2e-31
relative error = 1.3032958737885829426834442747690e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5345709598436390634760688071373
y1[1] (numeric) = 1.5345709598436390634760688071375
absolute error = 2e-31
relative error = 1.3032958737885829426834442747690e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1808.1MB, alloc=4.6MB, time=102.75
x[1] = 0.565
y2[1] (analytic) = 1.5354158160111833536257238754924
y2[1] (numeric) = 1.5354158160111833536257238754927
absolute error = 3e-31
relative error = 1.9538681109809208855882172695213e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5354158160111833536257238754924
y1[1] (numeric) = 1.5354158160111833536257238754927
absolute error = 3e-31
relative error = 1.9538681109809208855882172695213e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1812.0MB, alloc=4.6MB, time=102.97
x[1] = 0.566
y2[1] (analytic) = 1.5362601367629562505752056506075
y2[1] (numeric) = 1.5362601367629562505752056506078
absolute error = 3e-31
relative error = 1.9527942750120956089119300874199e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5362601367629562505752056506075
y1[1] (numeric) = 1.5362601367629562505752056506078
absolute error = 3e-31
relative error = 1.9527942750120956089119300874199e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1815.8MB, alloc=4.6MB, time=103.19
x[1] = 0.567
y2[1] (analytic) = 1.5371039212546370729116774854067
y2[1] (numeric) = 1.537103921254637072911677485407
absolute error = 3e-31
relative error = 1.9517222996551182088093657339211e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5371039212546370729116774854067
y1[1] (numeric) = 1.537103921254637072911677485407
absolute error = 3e-31
relative error = 1.9517222996551182088093657339211e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1819.6MB, alloc=4.6MB, time=103.41
TOP MAIN SOLVE Loop
x[1] = 0.568
y2[1] (analytic) = 1.5379471686424413992696890063077
y2[1] (numeric) = 1.537947168642441399269689006308
absolute error = 3e-31
relative error = 1.9506521817964167432559284414346e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5379471686424413992696890063077
y1[1] (numeric) = 1.537947168642441399269689006308
absolute error = 3e-31
relative error = 1.9506521817964167432559284414346e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1823.4MB, alloc=4.6MB, time=103.62
TOP MAIN SOLVE Loop
x[1] = 0.569
y2[1] (analytic) = 1.5387898780831219121155271633056
y2[1] (numeric) = 1.5387898780831219121155271633059
absolute error = 3e-31
relative error = 1.9495839183301067027675885089173e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5387898780831219121155271633056
y1[1] (numeric) = 1.5387898780831219121155271633059
absolute error = 3e-31
relative error = 1.9495839183301067027675885089173e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1827.2MB, alloc=4.6MB, time=103.84
TOP MAIN SOLVE Loop
x[1] = 0.57
y2[1] (analytic) = 1.5396320487339692409944634930788
y2[1] (numeric) = 1.5396320487339692409944634930792
absolute error = 4e-31
relative error = 2.5980233415439601059285561241638e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5396320487339692409944634930788
y1[1] (numeric) = 1.5396320487339692409944634930792
absolute error = 4e-31
relative error = 2.5980233415439601059285561241638e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1831.0MB, alloc=4.6MB, time=104.06
TOP MAIN SOLVE Loop
x[1] = 0.571
y2[1] (analytic) = 1.540473679752812805240054347939
y2[1] (numeric) = 1.5404736797528128052400543479393
absolute error = 3e-31
relative error = 1.9474529421894345054352430921479e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.540473679752812805240054347939
y1[1] (numeric) = 1.5404736797528128052400543479393
absolute error = 3e-31
relative error = 1.9474529421894345054352430921479e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1834.8MB, alloc=4.6MB, time=104.27
TOP MAIN SOLVE Loop
memory used=1838.7MB, alloc=4.6MB, time=104.49
x[1] = 0.572
y2[1] (analytic) = 1.5413147702980216561446513813949
y2[1] (numeric) = 1.5413147702980216561446513813952
absolute error = 3e-31
relative error = 1.9463902233415524605243305671844e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5413147702980216561446513813949
y1[1] (numeric) = 1.5413147702980216561446513813952
absolute error = 3e-31
relative error = 1.9463902233415524605243305671844e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1842.5MB, alloc=4.6MB, time=104.71
x[1] = 0.573
y2[1] (analytic) = 1.5421553195285053185902801198912
y2[1] (numeric) = 1.5421553195285053185902801198916
absolute error = 4e-31
relative error = 2.5937724620519740648720780338251e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5421553195285053185902801198912
y1[1] (numeric) = 1.5421553195285053185902801198916
absolute error = 4e-31
relative error = 2.5937724620519740648720780338251e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1846.3MB, alloc=4.6MB, time=104.92
x[1] = 0.574
y2[1] (analytic) = 1.5429953266037146321390449899122
y2[1] (numeric) = 1.5429953266037146321390449899126
absolute error = 4e-31
relative error = 2.5923604116186117907448842985784e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5429953266037146321390449899122
y1[1] (numeric) = 1.5429953266037146321390449899126
absolute error = 4e-31
relative error = 2.5923604116186117907448842985784e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1850.1MB, alloc=4.6MB, time=105.14
x[1] = 0.575
y2[1] (analytic) = 1.5438347906836425915822197101162
y2[1] (numeric) = 1.5438347906836425915822197101165
absolute error = 3e-31
relative error = 1.9432131068062902997971764793626e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5438347906836425915822197101162
y1[1] (numeric) = 1.5438347906836425915822197101165
absolute error = 3e-31
relative error = 1.9432131068062902997971764793626e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1853.9MB, alloc=4.6MB, time=105.36
x[1] = 0.576
y2[1] (analytic) = 1.5446737109288251869471824994803
y2[1] (numeric) = 1.5446737109288251869471824994807
absolute error = 4e-31
relative error = 2.5895436503510936525583490675233e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5446737109288251869471824994803
y1[1] (numeric) = 1.5446737109288251869471824994807
absolute error = 4e-31
relative error = 2.5895436503510936525583490675233e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1857.7MB, alloc=4.6MB, time=105.57
x[1] = 0.577
y2[1] (analytic) = 1.5455120865003422429613560945909
y2[1] (numeric) = 1.5455120865003422429613560945913
absolute error = 4e-31
relative error = 2.5881389313865545286809513847620e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5455120865003422429613560945909
y1[1] (numeric) = 1.5455120865003422429613560945913
absolute error = 4e-31
relative error = 2.5881389313865545286809513847620e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1861.6MB, alloc=4.6MB, time=105.79
x[1] = 0.578
y2[1] (analytic) = 1.546349916559818257972313112208
y2[1] (numeric) = 1.5463499165598182579723131122084
absolute error = 4e-31
relative error = 2.5867366481312613825045902384411e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.546349916559818257972313112208
y1[1] (numeric) = 1.5463499165598182579723131122084
absolute error = 4e-31
relative error = 2.5867366481312613825045902384411e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1865.4MB, alloc=4.6MB, time=106.01
x[1] = 0.579
y2[1] (analytic) = 1.5471872002694232423232078370701
y2[1] (numeric) = 1.5471872002694232423232078370705
absolute error = 4e-31
relative error = 2.5853367965450141894771019072715e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5471872002694232423232078370701
y1[1] (numeric) = 1.5471872002694232423232078370705
absolute error = 4e-31
relative error = 2.5853367965450141894771019072715e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1869.2MB, alloc=4.6MB, time=106.23
x[1] = 0.58
y2[1] (analytic) = 1.5480239367918735561826960595765
y2[1] (numeric) = 1.5480239367918735561826960595769
absolute error = 4e-31
relative error = 2.5839393725975608816817965314317e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5480239367918735561826960595765
y1[1] (numeric) = 1.5480239367918735561826960595769
absolute error = 4e-31
relative error = 2.5839393725975608816817965314317e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1873.0MB, alloc=4.6MB, time=106.44
x[1] = 0.581
y2[1] (analytic) = 1.548860125290432746828505133497
y2[1] (numeric) = 1.5488601252904327468285051334975
absolute error = 5e-31
relative error = 3.2281804653357130491008198431710e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.548860125290432746828505133497
y1[1] (numeric) = 1.5488601252904327468285051334975
absolute error = 5e-31
relative error = 3.2281804653357130491008198431710e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1876.8MB, alloc=4.6MB, time=106.66
x[1] = 0.582
y2[1] (analytic) = 1.5496957649289123853838169702094
y2[1] (numeric) = 1.5496957649289123853838169702099
absolute error = 5e-31
relative error = 3.2264397394345075885131932768842e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5496957649289123853838169702094
y1[1] (numeric) = 1.5496957649289123853838169702099
absolute error = 5e-31
relative error = 3.2264397394345075885131932768842e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1880.6MB, alloc=4.6MB, time=106.88
x[1] = 0.583
y2[1] (analytic) = 1.5505308548716729030056272331506
y2[1] (numeric) = 1.550530854871672903005627233151
absolute error = 4e-31
relative error = 2.5797616264340984820052287188203e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5505308548716729030056272331506
y1[1] (numeric) = 1.550530854871672903005627233151
absolute error = 4e-31
relative error = 2.5797616264340984820052287188203e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1884.4MB, alloc=4.6MB, time=107.10
x[1] = 0.584
y2[1] (analytic) = 1.5513653942836244265242445441924
y2[1] (numeric) = 1.5513653942836244265242445441928
absolute error = 4e-31
relative error = 2.5783738729373192328170867158314e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5513653942836244265242445441924
y1[1] (numeric) = 1.5513653942836244265242445441928
absolute error = 4e-31
relative error = 2.5783738729373192328170867158314e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1888.3MB, alloc=4.6MB, time=107.31
x[1] = 0.585
y2[1] (analytic) = 1.5521993823302276135330940625129
y2[1] (numeric) = 1.5521993823302276135330940625133
absolute error = 4e-31
relative error = 2.5769885270763541823143261673348e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5521993823302276135330940625129
y1[1] (numeric) = 1.5521993823302276135330940625133
absolute error = 4e-31
relative error = 2.5769885270763541823143261673348e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1892.1MB, alloc=4.6MB, time=107.53
x[1] = 0.586
y2[1] (analytic) = 1.553032818177494486927990346228
y2[1] (numeric) = 1.5530328181774944869279903462284
absolute error = 4e-31
relative error = 2.5756055848800770211301769406875e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.553032818177494486927990346228
y1[1] (numeric) = 1.5530328181774944869279903462284
absolute error = 4e-31
relative error = 2.5756055848800770211301769406875e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1895.9MB, alloc=4.6MB, time=107.75
x[1] = 0.587
y2[1] (analytic) = 1.5538657009919892688950449575815
y2[1] (numeric) = 1.5538657009919892688950449575818
absolute error = 3e-31
relative error = 1.9306687817903421683568350759275e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5538657009919892688950449575815
y1[1] (numeric) = 1.5538657009919892688950449575818
absolute error = 3e-31
relative error = 1.9306687817903421683568350759275e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1899.7MB, alloc=4.6MB, time=107.96
x[1] = 0.588
y2[1] (analytic) = 1.5546980299408292143463748238537
y2[1] (numeric) = 1.5546980299408292143463748238541
absolute error = 4e-31
relative error = 2.5728468956458620920628916261977e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5546980299408292143463748238537
y1[1] (numeric) = 1.5546980299408292143463748238541
absolute error = 4e-31
relative error = 2.5728468956458620920628916261977e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1903.5MB, alloc=4.6MB, time=108.18
x[1] = 0.589
y2[1] (analytic) = 1.5555298041916854438027779183523
y2[1] (numeric) = 1.5555298041916854438027779183526
absolute error = 3e-31
relative error = 1.9286033555357804059629559135390e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5555298041916854438027779183523
y1[1] (numeric) = 1.5555298041916854438027779183526
absolute error = 3e-31
relative error = 1.9286033555357804059629559135390e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1907.3MB, alloc=4.6MB, time=108.39
x[1] = 0.59
y2[1] (analytic) = 1.5563610229127837757225433788758
y2[1] (numeric) = 1.5563610229127837757225433788761
absolute error = 3e-31
relative error = 1.9275733302453152399987334892936e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5563610229127837757225433788758
y1[1] (numeric) = 1.5563610229127837757225433788761
absolute error = 3e-31
relative error = 1.9275733302453152399987334892936e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1911.1MB, alloc=4.6MB, time=108.61
x[1] = 0.591
y2[1] (analytic) = 1.5571916852729055582755637349123
y2[1] (numeric) = 1.5571916852729055582755637349126
absolute error = 3e-31
relative error = 1.9265450929210652289562725750459e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5571916852729055582755637349123
y1[1] (numeric) = 1.5571916852729055582755637349126
absolute error = 3e-31
relative error = 1.9265450929210652289562725750459e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1915.0MB, alloc=4.6MB, time=108.83
x[1] = 0.592
y2[1] (analytic) = 1.5580217904413885005619174695279
y2[1] (numeric) = 1.5580217904413885005619174695282
absolute error = 3e-31
relative error = 1.9255186406283176658325460556518e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5580217904413885005619174695279
y1[1] (numeric) = 1.5580217904413885005619174695282
absolute error = 3e-31
relative error = 1.9255186406283176658325460556518e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1918.8MB, alloc=4.6MB, time=109.05
x[1] = 0.593
y2[1] (analytic) = 1.5588513375881275032740906974331
y2[1] (numeric) = 1.5588513375881275032740906974334
absolute error = 3e-31
relative error = 1.9244939704395635811032683253698e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5588513375881275032740906974331
y1[1] (numeric) = 1.5588513375881275032740906974334
absolute error = 3e-31
relative error = 1.9244939704395635811032683253698e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1922.6MB, alloc=4.6MB, time=109.27
x[1] = 0.594
y2[1] (analytic) = 1.559680325883575488802007297074
y2[1] (numeric) = 1.5596803258835754888020072970743
absolute error = 3e-31
relative error = 1.9234710794344784087676146934343e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.559680325883575488802007297074
y1[1] (numeric) = 1.5596803258835754888020072970743
absolute error = 3e-31
relative error = 1.9234710794344784087676146934343e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1926.4MB, alloc=4.6MB, time=109.49
x[1] = 0.595
y2[1] (analytic) = 1.5605087544987442307800373917875
y2[1] (numeric) = 1.5605087544987442307800373917878
absolute error = 3e-31
relative error = 1.9224499646999027159207060638935e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5605087544987442307800373917875
y1[1] (numeric) = 1.5605087544987442307800373917878
absolute error = 3e-31
relative error = 1.9224499646999027159207060638935e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1930.2MB, alloc=4.6MB, time=109.70
x[1] = 0.596
y2[1] (analytic) = 1.5613366226052051830751546330814
y2[1] (numeric) = 1.5613366226052051830751546330818
absolute error = 4e-31
relative error = 2.5619074977730973274952243587692e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5613366226052051830751546330814
y1[1] (numeric) = 1.5613366226052051830751546330818
absolute error = 4e-31
relative error = 2.5619074977730973274952243587692e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1934.0MB, alloc=4.6MB, time=109.92
x[1] = 0.597
y2[1] (analytic) = 1.5621639293750903082154132979511
y2[1] (numeric) = 1.5621639293750903082154132979515
absolute error = 4e-31
relative error = 2.5605507365671366970987262853847e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5621639293750903082154132979511
y1[1] (numeric) = 1.5621639293750903082154132979515
absolute error = 4e-31
relative error = 2.5605507365671366970987262853847e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1937.8MB, alloc=4.6MB, time=110.13
x[1] = 0.598
y2[1] (analytic) = 1.5629906739810929052579167718239
y2[1] (numeric) = 1.5629906739810929052579167718243
absolute error = 4e-31
relative error = 2.5591963321262830308577410800442e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5629906739810929052579167718239
y1[1] (numeric) = 1.5629906739810929052579167718243
absolute error = 4e-31
relative error = 2.5591963321262830308577410800442e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1941.7MB, alloc=4.6MB, time=110.35
x[1] = 0.599
y2[1] (analytic) = 1.5638168555964684370954495492333
y2[1] (numeric) = 1.5638168555964684370954495492337
absolute error = 4e-31
relative error = 2.5578442806042825389642120815260e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5638168555964684370954495492333
y1[1] (numeric) = 1.5638168555964684370954495492337
absolute error = 4e-31
relative error = 2.5578442806042825389642120815260e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1945.5MB, alloc=4.6MB, time=110.56
x[1] = 0.6
y2[1] (analytic) = 1.5646424733950353572009454456587
y2[1] (numeric) = 1.5646424733950353572009454456591
absolute error = 4e-31
relative error = 2.5564945781643077326410928561345e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5646424733950353572009454456587
y1[1] (numeric) = 1.5646424733950353572009454456591
absolute error = 4e-31
relative error = 2.5564945781643077326410928561345e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1949.3MB, alloc=4.6MB, time=110.78
x[1] = 0.601
y2[1] (analytic) = 1.5654675265511759358089652761314
y2[1] (numeric) = 1.5654675265511759358089652761318
absolute error = 4e-31
relative error = 2.5551472209789322319978038525926e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5654675265511759358089652761314
y1[1] (numeric) = 1.5654675265511759358089652761318
absolute error = 4e-31
relative error = 2.5551472209789322319978038525926e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1953.1MB, alloc=4.6MB, time=111.00
x[1] = 0.602
y2[1] (analytic) = 1.5662920142398370855333578191989
y2[1] (numeric) = 1.5662920142398370855333578191993
absolute error = 4e-31
relative error = 2.5538022052301056564468631264239e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5662920142398370855333578191989
y1[1] (numeric) = 1.5662920142398370855333578191993
absolute error = 4e-31
relative error = 2.5538022052301056564468631264239e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1956.9MB, alloc=4.6MB, time=111.22
x[1] = 0.603
y2[1] (analytic) = 1.5671159356365311864202784486542
y2[1] (numeric) = 1.5671159356365311864202784486546
absolute error = 4e-31
relative error = 2.5524595271091285973806931471070e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5671159356365311864202784486542
y1[1] (numeric) = 1.5671159356365311864202784486546
absolute error = 4e-31
relative error = 2.5524595271091285973806931471070e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1960.7MB, alloc=4.6MB, time=111.44
x[1] = 0.604
y2[1] (analytic) = 1.5679392899173369104357403800814
y2[1] (numeric) = 1.5679392899173369104357403800817
absolute error = 3e-31
relative error = 1.9133393871124707546066428237444e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5679392899173369104357403800814
y1[1] (numeric) = 1.5679392899173369104357403800817
absolute error = 3e-31
relative error = 1.9133393871124707546066428237444e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1964.5MB, alloc=4.6MB, time=111.66
x[1] = 0.605
y2[1] (analytic) = 1.5687620762589000453868740447335
y2[1] (numeric) = 1.5687620762589000453868740447338
absolute error = 3e-31
relative error = 1.9123358764218979977429178075048e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5687620762589000453868740447335
y1[1] (numeric) = 1.5687620762589000453868740447338
absolute error = 3e-31
relative error = 1.9123358764218979977429178075048e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1968.4MB, alloc=4.6MB, time=111.87
x[1] = 0.606
y2[1] (analytic) = 1.569584293838434318276070669554
y2[1] (numeric) = 1.5695842938384343182760706695543
absolute error = 3e-31
relative error = 1.9113341104245312985738499121208e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.569584293838434318276070669554
y1[1] (numeric) = 1.5695842938384343182760706695543
absolute error = 3e-31
relative error = 1.9113341104245312985738499121208e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1972.2MB, alloc=4.6MB, time=112.09
x[1] = 0.607
y2[1] (analytic) = 1.5704059418337222180871867092646
y2[1] (numeric) = 1.5704059418337222180871867092649
absolute error = 3e-31
relative error = 1.9103340862917125377134027828155e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5704059418337222180871867092646
y1[1] (numeric) = 1.5704059418337222180871867092649
absolute error = 3e-31
relative error = 1.9103340862917125377134027828155e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1976.0MB, alloc=4.6MB, time=112.30
x[1] = 0.608
y2[1] (analytic) = 1.5712270194231158180029863443854
y2[1] (numeric) = 1.5712270194231158180029863443857
absolute error = 3e-31
relative error = 1.9093358012017038898897357501372e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5712270194231158180029863443854
y1[1] (numeric) = 1.5712270194231158180029863443857
absolute error = 3e-31
relative error = 1.9093358012017038898897357501372e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1979.8MB, alloc=4.6MB, time=112.52
x[1] = 0.609
y2[1] (analytic) = 1.5720475257855375970529998278124
y2[1] (numeric) = 1.5720475257855375970529998278127
absolute error = 3e-31
relative error = 1.9083392523396694189351418018318e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5720475257855375970529998278124
y1[1] (numeric) = 1.5720475257855375970529998278127
absolute error = 3e-31
relative error = 1.9083392523396694189351418018318e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1983.6MB, alloc=4.6MB, time=112.74
x[1] = 0.61
y2[1] (analytic) = 1.5728674601004812611909760321627
y2[1] (numeric) = 1.5728674601004812611909760321631
absolute error = 4e-31
relative error = 2.5431259158635423105558908746238e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5728674601004812611909760321627
y1[1] (numeric) = 1.5728674601004812611909760321631
absolute error = 4e-31
relative error = 2.5431259158635423105558908746238e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1987.4MB, alloc=4.6MB, time=112.95
x[1] = 0.611
y2[1] (analytic) = 1.5736868215480125638011081205036
y2[1] (numeric) = 1.573686821548012563801108120504
absolute error = 4e-31
relative error = 2.5418018027661049322544134603525e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5736868215480125638011081205036
y1[1] (numeric) = 1.573686821548012563801108120504
absolute error = 4e-31
relative error = 2.5418018027661049322544134603525e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1991.3MB, alloc=4.6MB, time=113.17
x[1] = 0.612
y2[1] (analytic) = 1.5745056093087701256322118343075
y2[1] (numeric) = 1.5745056093087701256322118343079
absolute error = 4e-31
relative error = 2.5404799934349269588794312811304e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5745056093087701256322118343075
y1[1] (numeric) = 1.5745056093087701256322118343079
absolute error = 4e-31
relative error = 2.5404799934349269588794312811304e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1995.1MB, alloc=4.6MB, time=113.39
x[1] = 0.613
y2[1] (analytic) = 1.5753238225639662541590364645238
y2[1] (numeric) = 1.5753238225639662541590364645242
absolute error = 4e-31
relative error = 2.5391604841534600833601357482618e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5753238225639662541590364645238
y1[1] (numeric) = 1.5753238225639662541590364645242
absolute error = 4e-31
relative error = 2.5391604841534600833601357482618e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1998.9MB, alloc=4.6MB, time=113.60
x[1] = 0.614
y2[1] (analytic) = 1.576141460495387762369889144524
y2[1] (numeric) = 1.5761414604953877623698891445244
absolute error = 4e-31
relative error = 2.5378432712142370143779476661849e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.576141460495387762369889144524
y1[1] (numeric) = 1.5761414604953877623698891445244
absolute error = 4e-31
relative error = 2.5378432712142370143779476661849e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2002.7MB, alloc=4.6MB, time=113.82
x[1] = 0.615
y2[1] (analytic) = 1.5769585222853967869797536773647
y2[1] (numeric) = 1.5769585222853967869797536773651
absolute error = 4e-31
relative error = 2.5365283509188474131374191095646e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5769585222853967869797536773647
y1[1] (numeric) = 1.5769585222853967869797536773651
absolute error = 4e-31
relative error = 2.5365283509188474131374191095646e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2006.5MB, alloc=4.6MB, time=114.04
x[1] = 0.616
y2[1] (analytic) = 1.5777750071169316060680856843173
y2[1] (numeric) = 1.5777750071169316060680856843177
absolute error = 4e-31
relative error = 2.5352157195779139085961557428693e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5777750071169316060680856843173
y1[1] (numeric) = 1.5777750071169316060680856843177
absolute error = 4e-31
relative error = 2.5352157195779139085961557428693e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2010.3MB, alloc=4.6MB, time=114.26
x[1] = 0.617
y2[1] (analytic) = 1.5785909141735074561404664369381
y2[1] (numeric) = 1.5785909141735074561404664369385
absolute error = 4e-31
relative error = 2.5339053735110681908697696400172e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5785909141735074561404664369381
y1[1] (numeric) = 1.5785909141735074561404664369385
absolute error = 4e-31
relative error = 2.5339053735110681908697696400172e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2014.1MB, alloc=4.6MB, time=114.48
x[1] = 0.618
y2[1] (analytic) = 1.579406242639217348613298311092
y2[1] (numeric) = 1.5794062426392173486132983110924
absolute error = 4e-31
relative error = 2.5325973090469271825290463468486e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.579406242639217348613298311092
y1[1] (numeric) = 1.5794062426392173486132983110924
absolute error = 4e-31
relative error = 2.5325973090469271825290463468486e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2018.0MB, alloc=4.6MB, time=114.70
x[1] = 0.619
y2[1] (analytic) = 1.5802209916987328857207253783037
y2[1] (numeric) = 1.580220991698732885720725378304
absolute error = 3e-31
relative error = 1.8984686418923019656307587032541e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5802209916987328857207253783037
y1[1] (numeric) = 1.580220991698732885720725378304
absolute error = 3e-31
relative error = 1.8984686418923019656307587032541e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2021.8MB, alloc=4.6MB, time=114.92
x[1] = 0.62
y2[1] (analytic) = 1.5810351605373050758429632275822
y2[1] (numeric) = 1.5810351605373050758429632275826
absolute error = 4e-31
relative error = 2.5299880102860107173400795091577e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5810351605373050758429632275822
y1[1] (numeric) = 1.5810351605373050758429632275826
absolute error = 4e-31
relative error = 2.5299880102860107173400795091577e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2025.6MB, alloc=4.6MB, time=115.14
x[1] = 0.621
y2[1] (analytic) = 1.581848748340765148255222689459
y2[1] (numeric) = 1.5818487483407651482552226894594
absolute error = 4e-31
relative error = 2.5286867686911818944499549570956e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.581848748340765148255222689459
y1[1] (numeric) = 1.5818487483407651482552226894594
absolute error = 4e-31
relative error = 2.5286867686911818944499549570956e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2029.4MB, alloc=4.6MB, time=115.35
x[1] = 0.622
y2[1] (analytic) = 1.5826617542955253672964127133811
y2[1] (numeric) = 1.5826617542955253672964127133815
absolute error = 4e-31
relative error = 2.5273877941029039322114490206169e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5826617542955253672964127133811
y1[1] (numeric) = 1.5826617542955253672964127133815
absolute error = 4e-31
relative error = 2.5273877941029039322114490206169e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2033.2MB, alloc=4.6MB, time=115.57
x[1] = 0.623
y2[1] (analytic) = 1.583474177588579845956808229827
y2[1] (numeric) = 1.5834741775885798459568082298274
absolute error = 4e-31
relative error = 2.5260910828943651915058464807565e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.583474177588579845956808229827
y1[1] (numeric) = 1.5834741775885798459568082298274
absolute error = 4e-31
relative error = 2.5260910828943651915058464807565e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2037.0MB, alloc=4.6MB, time=115.78
x[1] = 0.624
y2[1] (analytic) = 1.584286017407505358883869409543
y2[1] (numeric) = 1.5842860174075053588838694095434
absolute error = 4e-31
relative error = 2.5247966314475979134979400920675e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.584286017407505358883869409543
y1[1] (numeric) = 1.5842860174075053588838694095434
absolute error = 4e-31
relative error = 2.5247966314475979134979400920675e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2040.8MB, alloc=4.6MB, time=116.00
x[1] = 0.625
y2[1] (analytic) = 1.5850972729404621548053993141501
y2[1] (numeric) = 1.5850972729404621548053993141505
absolute error = 4e-31
relative error = 2.5235044361534549283573163334562e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5850972729404621548053993141501
y1[1] (numeric) = 1.5850972729404621548053993141505
absolute error = 4e-31
relative error = 2.5235044361534549283573163334562e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2044.7MB, alloc=4.6MB, time=116.22
x[1] = 0.626
y2[1] (analytic) = 1.5859079433761947683692275150305
y2[1] (numeric) = 1.585907943376194768369227515031
absolute error = 5e-31
relative error = 3.1527681167644830495636780169081e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5859079433761947683692275150305
y1[1] (numeric) = 1.585907943376194768369227515031
absolute error = 5e-31
relative error = 3.1527681167644830495636780169081e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2048.5MB, alloc=4.6MB, time=116.44
x[1] = 0.627
y2[1] (analytic) = 1.5867180279040328313986078408783
y2[1] (numeric) = 1.5867180279040328313986078408788
absolute error = 5e-31
relative error = 3.1511584995380211051682052279292e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5867180279040328313986078408783
y1[1] (numeric) = 1.5867180279040328313986078408788
absolute error = 5e-31
relative error = 3.1511584995380211051682052279292e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2052.3MB, alloc=4.6MB, time=116.65
x[1] = 0.628
y2[1] (analytic) = 1.5875275257138918835625189985835
y2[1] (numeric) = 1.587527525713891883562518998584
absolute error = 5e-31
relative error = 3.1495516890339023333394325558619e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5875275257138918835625189985835
y1[1] (numeric) = 1.587527525713891883562518998584
absolute error = 5e-31
relative error = 3.1495516890339023333394325558619e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2056.1MB, alloc=4.6MB, time=116.86
x[1] = 0.629
y2[1] (analytic) = 1.5883364359962741824600573972178
y2[1] (numeric) = 1.5883364359962741824600573972183
absolute error = 5e-31
relative error = 3.1479476807845064625111254148045e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5883364359962741824600573972178
y1[1] (numeric) = 1.5883364359962741824600573972183
absolute error = 5e-31
relative error = 3.1479476807845064625111254148045e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2059.9MB, alloc=4.6MB, time=117.08
TOP MAIN SOLVE Loop
x[1] = 0.63
y2[1] (analytic) = 1.5891447579422695131181120907946
y2[1] (numeric) = 1.5891447579422695131181120907951
absolute error = 5e-31
relative error = 3.1463464703330947989267061188544e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5891447579422695131181120907946
y1[1] (numeric) = 1.5891447579422695131181120907951
absolute error = 5e-31
relative error = 3.1463464703330947989267061188544e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2063.7MB, alloc=4.6MB, time=117.29
TOP MAIN SOLVE Loop
x[1] = 0.631
y2[1] (analytic) = 1.5899524907435559969015123421982
y2[1] (numeric) = 1.5899524907435559969015123421986
absolute error = 4e-31
relative error = 2.5157984425870253399954939598020e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5899524907435559969015123421982
y1[1] (numeric) = 1.5899524907435559969015123421986
absolute error = 4e-31
relative error = 2.5157984425870253399954939598020e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2067.5MB, alloc=4.6MB, time=117.51
TOP MAIN SOLVE Loop
x[1] = 0.632
y2[1] (analytic) = 1.5907596335924008998348388981996
y2[1] (numeric) = 1.5907596335924008998348388982001
absolute error = 5e-31
relative error = 3.1431524250515059902085356868577e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5907596335924008998348388981996
y1[1] (numeric) = 1.5907596335924008998348388982001
absolute error = 5e-31
relative error = 3.1431524250515059902085356868577e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2071.4MB, alloc=4.6MB, time=117.73
TOP MAIN SOLVE Loop
x[1] = 0.633
y2[1] (analytic) = 1.5915661856816614403350906538176
y2[1] (numeric) = 1.5915661856816614403350906538181
absolute error = 5e-31
relative error = 3.1415595813620028443053863485678e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5915661856816614403350906538176
y1[1] (numeric) = 1.5915661856816614403350906538181
absolute error = 5e-31
relative error = 3.1415595813620028443053863485678e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2075.2MB, alloc=4.6MB, time=117.95
TOP MAIN SOLVE Loop
x[1] = 0.634
y2[1] (analytic) = 1.592372146204785596354398973423
y2[1] (numeric) = 1.5923721462047855963543989734235
memory used=2079.0MB, alloc=4.6MB, time=118.16
absolute error = 5e-31
relative error = 3.1399695177517752623214800625988e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.592372146204785596354398973423
y1[1] (numeric) = 1.5923721462047855963543989734235
absolute error = 5e-31
relative error = 3.1399695177517752623214800625988e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2082.8MB, alloc=4.6MB, time=118.38
x[1] = 0.635
y2[1] (analytic) = 1.5931775143558129119319825259412
y2[1] (numeric) = 1.5931775143558129119319825259417
absolute error = 5e-31
relative error = 3.1383822298180660112259439874575e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5931775143558129119319825259412
y1[1] (numeric) = 1.5931775143558129119319825259417
absolute error = 5e-31
relative error = 3.1383822298180660112259439874575e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2086.6MB, alloc=4.6MB, time=118.59
x[1] = 0.636
y2[1] (analytic) = 1.5939822893293753031545360822647
y2[1] (numeric) = 1.5939822893293753031545360822652
absolute error = 5e-31
relative error = 3.1367977131688295077979760798106e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5939822893293753031545360822647
y1[1] (numeric) = 1.5939822893293753031545360822652
absolute error = 5e-31
relative error = 3.1367977131688295077979760798106e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2090.4MB, alloc=4.6MB, time=118.81
x[1] = 0.637
y2[1] (analytic) = 1.5947864703206978635242473145531
y2[1] (numeric) = 1.5947864703206978635242473145536
absolute error = 5e-31
relative error = 3.1352159634227038174227952728381e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5947864703206978635242473145531
y1[1] (numeric) = 1.5947864703206978635242473145536
absolute error = 5e-31
relative error = 3.1352159634227038174227952728381e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2094.3MB, alloc=4.6MB, time=119.03
x[1] = 0.638
y2[1] (analytic) = 1.5955900565255996687336362294726
y2[1] (numeric) = 1.5955900565255996687336362294731
absolute error = 5e-31
relative error = 3.1336369762089827434805003294951e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5955900565255996687336362294726
y1[1] (numeric) = 1.5955900565255996687336362294731
absolute error = 5e-31
relative error = 3.1336369762089827434805003294951e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2098.1MB, alloc=4.6MB, time=119.25
x[1] = 0.639
y2[1] (analytic) = 1.5963930471404945808464124606007
y2[1] (numeric) = 1.5963930471404945808464124606013
absolute error = 6e-31
relative error = 3.7584728966011056084043605506247e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5963930471404945808464124606007
y1[1] (numeric) = 1.5963930471404945808464124606013
absolute error = 6e-31
relative error = 3.7584728966011056084043605506247e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2101.9MB, alloc=4.6MB, time=119.46
x[1] = 0.64
y2[1] (analytic) = 1.5971954413623920518835462392079
y2[1] (numeric) = 1.5971954413623920518835462392085
absolute error = 6e-31
relative error = 3.7565847263388498195366901161187e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5971954413623920518835462392079
y1[1] (numeric) = 1.5971954413623920518835462392085
absolute error = 6e-31
relative error = 3.7565847263388498195366901161187e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2105.7MB, alloc=4.6MB, time=119.68
x[1] = 0.641
y2[1] (analytic) = 1.5979972383888979268137494574101
y2[1] (numeric) = 1.5979972383888979268137494574107
absolute error = 6e-31
relative error = 3.7546998554573252712998503007224e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5979972383888979268137494574101
y1[1] (numeric) = 1.5979972383888979268137494574107
absolute error = 6e-31
relative error = 3.7546998554573252712998503007224e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2109.5MB, alloc=4.6MB, time=119.90
x[1] = 0.642
y2[1] (analytic) = 1.5987984374182152459475638332798
y2[1] (numeric) = 1.5987984374182152459475638332804
absolute error = 6e-31
relative error = 3.7528182787624993034383534258944e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.5987984374182152459475638332798
y1[1] (numeric) = 1.5987984374182152459475638332804
absolute error = 6e-31
relative error = 3.7528182787624993034383534258944e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2113.3MB, alloc=4.6MB, time=120.12
x[1] = 0.643
y2[1] (analytic) = 1.599599037649145046734253783893
y2[1] (numeric) = 1.5995990376491450467342537838936
absolute error = 6e-31
relative error = 3.7509399910729602947351372520969e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.599599037649145046734253783893
y1[1] (numeric) = 1.5995990376491450467342537838936
absolute error = 6e-31
relative error = 3.7509399910729602947351372520969e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2117.1MB, alloc=4.6MB, time=120.34
x[1] = 0.644
y2[1] (analytic) = 1.6003990382810871649607022094871
y2[1] (numeric) = 1.6003990382810871649607022094876
absolute error = 5e-31
relative error = 3.1242208226832373453605988089680e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6003990382810871649607022094871
y1[1] (numeric) = 1.6003990382810871649607022094876
absolute error = 5e-31
relative error = 3.1242208226832373453605988089680e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2121.0MB, alloc=4.6MB, time=120.55
x[1] = 0.645
y2[1] (analytic) = 1.6011984385140410353515079898995
y2[1] (numeric) = 1.6011984385140410353515079899
absolute error = 5e-31
relative error = 3.1226610517058373997297782263254e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6011984385140410353515079898995
y1[1] (numeric) = 1.6011984385140410353515079899
absolute error = 5e-31
relative error = 3.1226610517058373997297782263254e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2124.8MB, alloc=4.6MB, time=120.77
x[1] = 0.646
y2[1] (analytic) = 1.6019972375486064915694845932574
y2[1] (numeric) = 1.6019972375486064915694845932579
absolute error = 5e-31
relative error = 3.1211040086754794321640212816942e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6019972375486064915694845932574
y1[1] (numeric) = 1.6019972375486064915694845932579
absolute error = 5e-31
relative error = 3.1211040086754794321640212816942e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2128.6MB, alloc=4.6MB, time=120.98
x[1] = 0.647
y2[1] (analytic) = 1.6027954345859845656157597964862
y2[1] (numeric) = 1.6027954345859845656157597964867
absolute error = 5e-31
relative error = 3.1195496893161176988911464174439e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6027954345859845656157597964862
y1[1] (numeric) = 1.6027954345859845656157597964867
absolute error = 5e-31
relative error = 3.1195496893161176988911464174439e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2132.4MB, alloc=4.6MB, time=121.20
x[1] = 0.648
y2[1] (analytic) = 1.6035930288279782866286771176028
y2[1] (numeric) = 1.6035930288279782866286771176033
absolute error = 5e-31
relative error = 3.1179980893620879999601055217987e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6035930288279782866286771176028
y1[1] (numeric) = 1.6035930288279782866286771176033
absolute error = 5e-31
relative error = 3.1179980893620879999601055217987e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2136.2MB, alloc=4.6MB, time=121.42
x[1] = 0.649
y2[1] (analytic) = 1.6043900194769934790807001609604
y2[1] (numeric) = 1.604390019476993479080700160961
absolute error = 6e-31
relative error = 3.7397390454696968928522563609165e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6043900194769934790807001609604
y1[1] (numeric) = 1.604390019476993479080700160961
absolute error = 6e-31
relative error = 3.7397390454696968928522563609165e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2140.0MB, alloc=4.6MB, time=121.63
x[1] = 0.65
y2[1] (analytic) = 1.6051864057360395603725216786059
y2[1] (numeric) = 1.6051864057360395603725216786065
absolute error = 6e-31
relative error = 3.7378836367909369200350013496276e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6051864057360395603725216786059
y1[1] (numeric) = 1.6051864057360395603725216786065
absolute error = 6e-31
relative error = 3.7378836367909369200350013496276e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2143.8MB, alloc=4.6MB, time=121.85
x[1] = 0.651
y2[1] (analytic) = 1.6059821868087303378235797537072
y2[1] (numeric) = 1.6059821868087303378235797537078
absolute error = 6e-31
relative error = 3.7360314761166086821094338877542e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6059821868087303378235797537072
y1[1] (numeric) = 1.6059821868087303378235797537078
absolute error = 6e-31
relative error = 3.7360314761166086821094338877542e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2147.7MB, alloc=4.6MB, time=122.07
x[1] = 0.652
y2[1] (analytic) = 1.6067773618992848050581841156014
y2[1] (numeric) = 1.606777361899284805058184115602
absolute error = 6e-31
relative error = 3.7341825583774243667215116446473e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6067773618992848050581841156014
y1[1] (numeric) = 1.606777361899284805058184115602
absolute error = 6e-31
relative error = 3.7341825583774243667215116446473e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2151.5MB, alloc=4.6MB, time=122.28
x[1] = 0.653
y2[1] (analytic) = 1.6075719302125279377864562004034
y2[1] (numeric) = 1.607571930212527937786456200404
absolute error = 6e-31
relative error = 3.7323368785163934406870190880149e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6075719302125279377864562004034
y1[1] (numeric) = 1.607571930212527937786456200404
absolute error = 6e-31
relative error = 3.7323368785163934406870190880149e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2155.3MB, alloc=4.6MB, time=122.50
x[1] = 0.654
y2[1] (analytic) = 1.6083658909538914889792871763013
y2[1] (numeric) = 1.6083658909538914889792871763019
absolute error = 6e-31
relative error = 3.7304944314887908447985165164837e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6083658909538914889792871763013
y1[1] (numeric) = 1.6083658909538914889792871763019
absolute error = 6e-31
relative error = 3.7304944314887908447985165164837e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2159.1MB, alloc=4.6MB, time=122.71
x[1] = 0.655
y2[1] (analytic) = 1.609159243329414783436518758647
y2[1] (numeric) = 1.6091592433294147834365187586476
absolute error = 6e-31
relative error = 3.7286552122621252909419015862349e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.609159243329414783436518758647
y1[1] (numeric) = 1.6091592433294147834365187586476
absolute error = 6e-31
relative error = 3.7286552122621252909419015862349e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2162.9MB, alloc=4.6MB, time=122.93
x[1] = 0.656
y2[1] (analytic) = 1.6099519865457455117475522467268
y2[1] (numeric) = 1.6099519865457455117475522467274
absolute error = 6e-31
relative error = 3.7268192158161076611596707359827e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6099519865457455117475522467268
y1[1] (numeric) = 1.6099519865457455117475522467274
absolute error = 6e-31
relative error = 3.7268192158161076611596707359827e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2166.7MB, alloc=4.6MB, time=123.15
x[1] = 0.657
y2[1] (analytic) = 1.6107441198101405236435918216702
y2[1] (numeric) = 1.6107441198101405236435918216708
absolute error = 6e-31
relative error = 3.7249864371426195082994438045680e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6107441198101405236435918216702
y1[1] (numeric) = 1.6107441198101405236435918216708
absolute error = 6e-31
relative error = 3.7249864371426195082994438045680e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2170.5MB, alloc=4.6MB, time=123.37
x[1] = 0.658
y2[1] (analytic) = 1.6115356423304666207407287533185
y2[1] (numeric) = 1.6115356423304666207407287533191
absolute error = 6e-31
relative error = 3.7231568712456816578877844299486e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6115356423304666207407287533185
y1[1] (numeric) = 1.6115356423304666207407287533191
absolute error = 6e-31
relative error = 3.7231568712456816578877844299486e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2174.4MB, alloc=4.6MB, time=123.58
x[1] = 0.659
y2[1] (analytic) = 1.6123265533152013486730737730358
y2[1] (numeric) = 1.6123265533152013486730737730364
absolute error = 6e-31
relative error = 3.7213305131414229108708115499615e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6123265533152013486730737730358
y1[1] (numeric) = 1.6123265533152013486730737730364
absolute error = 6e-31
relative error = 3.7213305131414229108708115499615e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2178.2MB, alloc=4.6MB, time=123.80
x[1] = 0.66
y2[1] (analytic) = 1.6131168519734337886151454793963
y2[1] (numeric) = 1.6131168519734337886151454793969
absolute error = 6e-31
relative error = 3.7195073578580488468645535263458e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6131168519734337886151454793963
y1[1] (numeric) = 1.6131168519734337886151454793969
absolute error = 6e-31
relative error = 3.7195073578580488468645535263458e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2182.0MB, alloc=4.6MB, time=124.01
x[1] = 0.661
y2[1] (analytic) = 1.6139065375148653481927232544241
y2[1] (numeric) = 1.6139065375148653481927232544247
absolute error = 6e-31
relative error = 3.7176874004358107275594461163952e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6139065375148653481927232544241
y1[1] (numeric) = 1.6139065375148653481927232544247
absolute error = 6e-31
relative error = 3.7176874004358107275594461163952e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2185.8MB, alloc=4.6MB, time=124.23
x[1] = 0.662
y2[1] (analytic) = 1.6146956091498105517813737796007
y2[1] (numeric) = 1.6146956091498105517813737796012
absolute error = 5e-31
relative error = 3.0965588632724787499373489610975e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6146956091498105517813737796007
y1[1] (numeric) = 1.6146956091498105517813737796012
absolute error = 5e-31
relative error = 3.0965588632724787499373489610975e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2189.6MB, alloc=4.6MB, time=124.45
x[1] = 0.663
y2[1] (analytic) = 1.6154840660891978301918608531767
y2[1] (numeric) = 1.6154840660891978301918608531772
absolute error = 5e-31
relative error = 3.0950475494964915823838753323669e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6154840660891978301918608531767
y1[1] (numeric) = 1.6154840660891978301918608531772
absolute error = 5e-31
relative error = 3.0950475494964915823838753323669e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2193.4MB, alloc=4.6MB, time=124.67
x[1] = 0.664
y2[1] (analytic) = 1.6162719075445703097416488234469
y2[1] (numeric) = 1.6162719075445703097416488234474
absolute error = 5e-31
relative error = 3.0935388882653830407877555262771e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6162719075445703097416488234469
y1[1] (numeric) = 1.6162719075445703097416488234474
absolute error = 5e-31
relative error = 3.0935388882653830407877555262771e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2197.2MB, alloc=4.6MB, time=124.88
x[1] = 0.665
y2[1] (analytic) = 1.6170591327280866007117105665481
y2[1] (numeric) = 1.6170591327280866007117105665486
absolute error = 5e-31
relative error = 3.0920328754859239707744947193823e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6170591327280866007117105665481
y1[1] (numeric) = 1.6170591327280866007117105665486
absolute error = 5e-31
relative error = 3.0920328754859239707744947193823e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2201.1MB, alloc=4.6MB, time=125.10
x[1] = 0.666
y2[1] (analytic) = 1.6178457408525215851878515520396
y2[1] (numeric) = 1.6178457408525215851878515520401
absolute error = 5e-31
relative error = 3.0905295070747949588560688880003e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6178457408525215851878515520396
y1[1] (numeric) = 1.6178457408525215851878515520401
absolute error = 5e-31
relative error = 3.0905295070747949588560688880003e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2204.9MB, alloc=4.6MB, time=125.32
x[1] = 0.667
y2[1] (analytic) = 1.6186317311312672042857621550066
y2[1] (numeric) = 1.6186317311312672042857621550071
absolute error = 5e-31
relative error = 3.0890287789585609132160576409124e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6186317311312672042857621550066
y1[1] (numeric) = 1.6186317311312672042857621550071
absolute error = 5e-31
relative error = 3.0890287789585609132160576409124e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2208.7MB, alloc=4.6MB, time=125.54
x[1] = 0.668
y2[1] (analytic) = 1.6194171027783332447590109897005
y2[1] (numeric) = 1.619417102778333244759010989701
absolute error = 5e-31
relative error = 3.0875306870736457259156145015905e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6194171027783332447590109897005
y1[1] (numeric) = 1.619417102778333244759010989701
absolute error = 5e-31
relative error = 3.0875306870736457259156145015905e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2212.5MB, alloc=4.6MB, time=125.75
x[1] = 0.669
y2[1] (analytic) = 1.6202018550083481249891926567879
y2[1] (numeric) = 1.6202018550083481249891926567884
absolute error = 5e-31
relative error = 3.0860352273663070162334152432549e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6202018550083481249891926567879
y1[1] (numeric) = 1.6202018550083481249891926567884
absolute error = 5e-31
relative error = 3.0860352273663070162334152432549e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2216.3MB, alloc=4.6MB, time=125.97
x[1] = 0.67
y2[1] (analytic) = 1.6209859870365596803574439141266
y2[1] (numeric) = 1.6209859870365596803574439141271
absolute error = 5e-31
relative error = 3.0845423957926109548538854147938e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6209859870365596803574439141266
y1[1] (numeric) = 1.6209859870365596803574439141271
absolute error = 5e-31
relative error = 3.0845423957926109548538854147938e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2220.1MB, alloc=4.6MB, time=126.19
x[1] = 0.671
y2[1] (analytic) = 1.6217694980788359479965428996171
y2[1] (numeric) = 1.6217694980788359479965428996176
absolute error = 5e-31
relative error = 3.0830521883184071686191635760513e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6217694980788359479965428996171
y1[1] (numeric) = 1.6217694980788359479965428996176
absolute error = 5e-31
relative error = 3.0830521883184071686191635760513e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2224.0MB, alloc=4.6MB, time=126.41
x[1] = 0.672
y2[1] (analytic) = 1.6225523873516659509228066540965
y2[1] (numeric) = 1.622552387351665950922806654097
absolute error = 5e-31
relative error = 3.0815646009193037255614070125277e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6225523873516659509228066540965
y1[1] (numeric) = 1.622552387351665950922806654097
absolute error = 5e-31
relative error = 3.0815646009193037255614070125277e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2227.8MB, alloc=4.6MB, time=126.62
x[1] = 0.673
y2[1] (analytic) = 1.6233346540721604815470028124424
y2[1] (numeric) = 1.6233346540721604815470028124428
absolute error = 4e-31
relative error = 2.4640637036645137599465534778816e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6233346540721604815470028124424
y1[1] (numeric) = 1.6233346540721604815470028124428
absolute error = 4e-31
relative error = 2.4640637036645137599465534778816e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2231.6MB, alloc=4.6MB, time=126.84
x[1] = 0.674
y2[1] (analytic) = 1.6241162974580528845634919520396
y2[1] (numeric) = 1.62411629745805288456349195204
absolute error = 4e-31
relative error = 2.4628778162379782535639196300231e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6241162974580528845634919520396
y1[1] (numeric) = 1.62411629745805288456349195204
absolute error = 4e-31
relative error = 2.4628778162379782535639196300231e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2235.4MB, alloc=4.6MB, time=127.05
x[1] = 0.675
y2[1] (analytic) = 1.6248973167276998392168177095343
y2[1] (numeric) = 1.6248973167276998392168177095348
absolute error = 5e-31
relative error = 3.0771175190745296769991167568606e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6248973167276998392168177095343
y1[1] (numeric) = 1.6248973167276998392168177095348
absolute error = 5e-31
relative error = 3.0771175190745296769991167568606e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2239.2MB, alloc=4.6MB, time=127.27
x[1] = 0.676
y2[1] (analytic) = 1.6256777111000821409449623993491
y2[1] (numeric) = 1.6256777111000821409449623993496
absolute error = 5e-31
relative error = 3.0756403719262060589332056544082e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6256777111000821409449623993491
y1[1] (numeric) = 1.6256777111000821409449623993496
absolute error = 5e-31
relative error = 3.0756403719262060589332056544082e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2243.0MB, alloc=4.6MB, time=127.49
x[1] = 0.677
y2[1] (analytic) = 1.6264574797948054823984864907691
y2[1] (numeric) = 1.6264574797948054823984864907695
absolute error = 4e-31
relative error = 2.4593326599012238418738611676252e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6264574797948054823984864907691
y1[1] (numeric) = 1.6264574797948054823984864907695
absolute error = 4e-31
relative error = 2.4593326599012238418738611676252e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2246.8MB, alloc=4.6MB, time=127.70
x[1] = 0.678
y2[1] (analytic) = 1.6272366220321012338347709245244
y2[1] (numeric) = 1.6272366220321012338347709245248
absolute error = 4e-31
relative error = 2.4581550991673110146850515255782e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6272366220321012338347709245244
y1[1] (numeric) = 1.6272366220321012338347709245248
absolute error = 4e-31
relative error = 2.4581550991673110146850515255782e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2250.7MB, alloc=4.6MB, time=127.92
x[1] = 0.679
y2[1] (analytic) = 1.6280151370328272228865818746926
y2[1] (numeric) = 1.628015137032827222886581874693
absolute error = 4e-31
relative error = 2.4569796121738051030439424020264e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6280151370328272228865818746926
y1[1] (numeric) = 1.628015137032827222886581874693
absolute error = 4e-31
relative error = 2.4569796121738051030439424020264e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2254.5MB, alloc=4.6MB, time=128.14
x[1] = 0.68
y2[1] (analytic) = 1.6287930240184685137041781874202
y2[1] (numeric) = 1.6287930240184685137041781874206
absolute error = 4e-31
relative error = 2.4558061957629337867416766127148e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6287930240184685137041781874202
y1[1] (numeric) = 1.6287930240184685137041781874206
absolute error = 4e-31
relative error = 2.4558061957629337867416766127148e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2258.3MB, alloc=4.6MB, time=128.36
x[1] = 0.681
y2[1] (analytic) = 1.6295702822111381854701823544214
y2[1] (numeric) = 1.6295702822111381854701823544218
absolute error = 4e-31
relative error = 2.4546348467845542438887150369654e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6295702822111381854701823544214
y1[1] (numeric) = 1.6295702822111381854701823544218
absolute error = 4e-31
relative error = 2.4546348467845542438887150369654e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2262.1MB, alloc=4.6MB, time=128.58
x[1] = 0.682
y2[1] (analytic) = 1.6303469108335781102864365064475
y2[1] (numeric) = 1.6303469108335781102864365064478
absolute error = 3e-31
relative error = 1.8400991715721003266852520993396e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6303469108335781102864365064475
y1[1] (numeric) = 1.6303469108335781102864365064478
absolute error = 3e-31
relative error = 1.8400991715721003266852520993396e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2265.9MB, alloc=4.6MB, time=128.79
x[1] = 0.683
y2[1] (analytic) = 1.6311229091091597304320655399362
y2[1] (numeric) = 1.6311229091091597304320655399366
absolute error = 4e-31
relative error = 2.4522983385627304523521287567317e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6311229091091597304320655399362
y1[1] (numeric) = 1.6311229091091597304320655399366
absolute error = 4e-31
relative error = 2.4522983385627304523521287567317e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2269.7MB, alloc=4.6MB, time=129.00
x[1] = 0.684
y2[1] (analytic) = 1.631898276261884834991970118843
y2[1] (numeric) = 1.6318982762618848349919701188434
absolute error = 4e-31
relative error = 2.4511331730569739222094933121079e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.631898276261884834991970118843
y1[1] (numeric) = 1.6318982762618848349919701188434
absolute error = 4e-31
relative error = 2.4511331730569739222094933121079e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2273.5MB, alloc=4.6MB, time=129.22
x[1] = 0.685
y2[1] (analytic) = 1.6326730115163863358549729232243
y2[1] (numeric) = 1.6326730115163863358549729232247
absolute error = 4e-31
relative error = 2.4499700624590461466827015532788e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6326730115163863358549729232243
y1[1] (numeric) = 1.6326730115163863358549729232247
absolute error = 4e-31
relative error = 2.4499700624590461466827015532788e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2277.4MB, alloc=4.6MB, time=129.44
x[1] = 0.686
y2[1] (analytic) = 1.6334471140979290430808421464934
y2[1] (numeric) = 1.6334471140979290430808421464938
absolute error = 4e-31
relative error = 2.4488090036566622980265968894859e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6334471140979290430808421464934
y1[1] (numeric) = 1.6334471140979290430808421464938
absolute error = 4e-31
relative error = 2.4488090036566622980265968894859e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2281.2MB, alloc=4.6MB, time=129.66
x[1] = 0.687
y2[1] (analytic) = 1.6342205832324104396354168743884
y2[1] (numeric) = 1.6342205832324104396354168743888
absolute error = 4e-31
relative error = 2.4476499935450516773515446934582e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6342205832324104396354168743884
y1[1] (numeric) = 1.6342205832324104396354168743888
absolute error = 4e-31
relative error = 2.4476499935450516773515446934582e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2285.0MB, alloc=4.6MB, time=129.87
x[1] = 0.688
y2[1] (analytic) = 1.6349934181463614554930596105924
y2[1] (numeric) = 1.6349934181463614554930596105927
absolute error = 3e-31
relative error = 1.8348697717702040251048245125608e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6349934181463614554930596105924
y1[1] (numeric) = 1.6349934181463614554930596105927
absolute error = 3e-31
relative error = 1.8348697717702040251048245125608e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2288.8MB, alloc=4.6MB, time=130.09
x[1] = 0.689
y2[1] (analytic) = 1.6357656180669472411056618466169
y2[1] (numeric) = 1.6357656180669472411056618466172
absolute error = 3e-31
relative error = 1.8340035802593929567015311677873e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6357656180669472411056618466169
y1[1] (numeric) = 1.6357656180669472411056618466172
absolute error = 3e-31
relative error = 1.8340035802593929567015311677873e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2292.6MB, alloc=4.6MB, time=130.31
x[1] = 0.69
y2[1] (analytic) = 1.6365371822219679402374292070087
y2[1] (numeric) = 1.6365371822219679402374292070091
absolute error = 4e-31
relative error = 2.4441852244194652463306224128027e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6365371822219679402374292070087
y1[1] (numeric) = 1.6365371822219679402374292070091
absolute error = 4e-31
relative error = 2.4441852244194652463306224128027e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2296.4MB, alloc=4.6MB, time=130.53
x[1] = 0.691
y2[1] (analytic) = 1.6373081098398594621646733351585
y2[1] (numeric) = 1.6373081098398594621646733351588
absolute error = 3e-31
relative error = 1.8322757836296441660287725840898e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6373081098398594621646733351585
y1[1] (numeric) = 1.6373081098398594621646733351588
absolute error = 3e-31
relative error = 1.8322757836296441660287725840898e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2300.2MB, alloc=4.6MB, time=130.74
TOP MAIN SOLVE Loop
x[1] = 0.692
y2[1] (analytic) = 1.6380784001496942532398383199832
y2[1] (numeric) = 1.6380784001496942532398383199835
absolute error = 3e-31
relative error = 1.8314141739039156018812029763281e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6380784001496942532398383199832
y1[1] (numeric) = 1.6380784001496942532398383199835
absolute error = 3e-31
relative error = 1.8314141739039156018812029763281e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2304.1MB, alloc=4.6MB, time=130.96
TOP MAIN SOLVE Loop
x[1] = 0.693
y2[1] (analytic) = 1.638848052381182067818990099522
y2[1] (numeric) = 1.6388480523811820678189900995223
absolute error = 3e-31
relative error = 1.8305540868423509026588692592361e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.638848052381182067818990099522
y1[1] (numeric) = 1.6388480523811820678189900995223
absolute error = 3e-31
relative error = 1.8305540868423509026588692592361e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2307.9MB, alloc=4.6MB, time=131.18
TOP MAIN SOLVE Loop
x[1] = 0.694
y2[1] (analytic) = 1.639617065764670738551997914018
y2[1] (numeric) = 1.6396170657646707385519979140184
absolute error = 4e-31
relative error = 2.4395940268738992623886192622705e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.639617065764670738551997914018
y1[1] (numeric) = 1.6396170657646707385519979140184
absolute error = 4e-31
relative error = 2.4395940268738992623886192622705e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2311.7MB, alloc=4.6MB, time=131.40
TOP MAIN SOLVE Loop
x[1] = 0.695
y2[1] (analytic) = 1.6403854395311469460346375183712
y2[1] (numeric) = 1.6403854395311469460346375183716
absolute error = 4e-31
relative error = 2.4384512954121778457139889453128e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6403854395311469460346375183712
y1[1] (numeric) = 1.6403854395311469460346375183716
absolute error = 4e-31
relative error = 2.4384512954121778457139889453128e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2315.5MB, alloc=4.6MB, time=131.61
TOP MAIN SOLVE Loop
x[1] = 0.696
y2[1] (analytic) = 1.641153172912236987821846501921
y2[1] (numeric) = 1.6411531729122369878218465019214
absolute error = 4e-31
relative error = 2.4373105850333116460155184777610e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.641153172912236987821846501921
y1[1] (numeric) = 1.6411531729122369878218465019214
absolute error = 4e-31
relative error = 2.4373105850333116460155184777610e-29 %
Correct digits = 30
h = 0.001
memory used=2319.3MB, alloc=4.6MB, time=131.83
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2323.1MB, alloc=4.6MB, time=132.05
x[1] = 0.697
y2[1] (analytic) = 1.6419202651402075468013627023692
y2[1] (numeric) = 1.6419202651402075468013627023696
absolute error = 4e-31
relative error = 2.4361718927066353708334125867941e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6419202651402075468013627023692
y1[1] (numeric) = 1.6419202651402075468013627023696
absolute error = 4e-31
relative error = 2.4361718927066353708334125867941e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2327.0MB, alloc=4.6MB, time=132.27
x[1] = 0.698
y2[1] (analytic) = 1.6426867154479664589269773402679
y2[1] (numeric) = 1.6426867154479664589269773402682
absolute error = 3e-31
relative error = 1.8262764115565939929654361829112e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6426867154479664589269773402679
y1[1] (numeric) = 1.6426867154479664589269773402682
absolute error = 3e-31
relative error = 1.8262764115565939929654361829112e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2330.8MB, alloc=4.6MB, time=132.48
x[1] = 0.699
y2[1] (analytic) = 1.643452523069063480310635140883
y2[1] (numeric) = 1.6434525230690634803106351408834
absolute error = 4e-31
relative error = 2.4339005501237143783790867770752e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.643452523069063480310635140883
y1[1] (numeric) = 1.6434525230690634803106351408834
absolute error = 4e-31
relative error = 2.4339005501237143783790867770752e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2334.6MB, alloc=4.6MB, time=132.70
x[1] = 0.7
y2[1] (analytic) = 1.6442176872376910536726143513987
y2[1] (numeric) = 1.6442176872376910536726143513991
absolute error = 4e-31
relative error = 2.4327678938426070075304109808511e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6442176872376910536726143513987
y1[1] (numeric) = 1.6442176872376910536726143513991
absolute error = 4e-31
relative error = 2.4327678938426070075304109808511e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2338.4MB, alloc=4.6MB, time=132.92
x[1] = 0.701
y2[1] (analytic) = 1.6449822071886850741490202033442
y2[1] (numeric) = 1.6449822071886850741490202033445
absolute error = 3e-31
relative error = 1.8237279326729457808633707003789e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6449822071886850741490202033442
y1[1] (numeric) = 1.6449822071886850741490202033445
absolute error = 3e-31
relative error = 1.8237279326729457808633707003789e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2342.2MB, alloc=4.6MB, time=133.14
x[1] = 0.702
y2[1] (analytic) = 1.6457460821575256544558260128154
y2[1] (numeric) = 1.6457460821575256544558260128157
absolute error = 3e-31
relative error = 1.8228814472200271092799611877134e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6457460821575256544558260128154
y1[1] (numeric) = 1.6457460821575256544558260128157
absolute error = 3e-31
relative error = 1.8228814472200271092799611877134e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2346.0MB, alloc=4.6MB, time=133.35
x[1] = 0.703
y2[1] (analytic) = 1.6465093113803378894086967545133
y2[1] (numeric) = 1.6465093113803378894086967545137
absolute error = 4e-31
relative error = 2.4293819490438423624153309810118e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6465093113803378894086967545133
y1[1] (numeric) = 1.6465093113803378894086967545137
absolute error = 4e-31
relative error = 2.4293819490438423624153309810118e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2349.8MB, alloc=4.6MB, time=133.57
x[1] = 0.704
y2[1] (analytic) = 1.6472718940938926197978305898392
y2[1] (numeric) = 1.6472718940938926197978305898395
absolute error = 3e-31
relative error = 1.8211929741265915270341227707641e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6472718940938926197978305898392
y1[1] (numeric) = 1.6472718940938926197978305898395
absolute error = 3e-31
relative error = 1.8211929741265915270341227707641e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2353.7MB, alloc=4.6MB, time=133.78
x[1] = 0.705
y2[1] (analytic) = 1.6480338295356071956170544742679
y2[1] (numeric) = 1.6480338295356071956170544742682
absolute error = 3e-31
relative error = 1.8203509820216238507083745680700e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6480338295356071956170544742679
y1[1] (numeric) = 1.6480338295356071956170544742682
absolute error = 3e-31
relative error = 1.8203509820216238507083745680700e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2357.5MB, alloc=4.6MB, time=134.00
x[1] = 0.706
y2[1] (analytic) = 1.6487951169435462386464106149696
y2[1] (numeric) = 1.64879511694354623864641061497
absolute error = 4e-31
relative error = 2.4260139776584246241039788534266e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6487951169435462386464106149696
y1[1] (numeric) = 1.64879511694354623864641061497
absolute error = 4e-31
relative error = 2.4260139776584246241039788534266e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2361.3MB, alloc=4.6MB, time=134.22
x[1] = 0.707
y2[1] (analytic) = 1.6495557555564224043874711961547
y2[1] (numeric) = 1.649555755556422404387471196155
absolute error = 3e-31
relative error = 1.8186714755743739287975729960642e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6495557555564224043874711961547
y1[1] (numeric) = 1.649555755556422404387471196155
absolute error = 3e-31
relative error = 1.8186714755743739287975729960642e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2365.1MB, alloc=4.6MB, time=134.43
x[1] = 0.708
y2[1] (analytic) = 1.6503157446135971433506194368912
y2[1] (numeric) = 1.6503157446135971433506194368915
absolute error = 3e-31
relative error = 1.8178339567998342243421440562680e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6503157446135971433506194368912
y1[1] (numeric) = 1.6503157446135971433506194368915
absolute error = 3e-31
relative error = 1.8178339567998342243421440562680e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2368.9MB, alloc=4.6MB, time=134.65
x[1] = 0.709
y2[1] (analytic) = 1.6510750833550814616935356941786
y2[1] (numeric) = 1.6510750833550814616935356941789
absolute error = 3e-31
relative error = 1.8169979247120754477518302713274e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6510750833550814616935356941786
y1[1] (numeric) = 1.6510750833550814616935356941789
absolute error = 3e-31
relative error = 1.8169979247120754477518302713274e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2372.7MB, alloc=4.6MB, time=134.86
x[1] = 0.71
y2[1] (analytic) = 1.6518337710215366812101279728528
y2[1] (numeric) = 1.6518337710215366812101279728532
absolute error = 4e-31
relative error = 2.4215511694777233274212709492361e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6518337710215366812101279728528
y1[1] (numeric) = 1.6518337710215366812101279728532
absolute error = 4e-31
relative error = 2.4215511694777233274212709492361e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2376.5MB, alloc=4.6MB, time=135.08
x[1] = 0.711
y2[1] (analytic) = 1.6525918068542751986691468534576
y2[1] (numeric) = 1.652591806854275198669146853458
absolute error = 4e-31
relative error = 2.4204404157213144157346994170661e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6525918068542751986691468534576
y1[1] (numeric) = 1.652591806854275198669146853458
absolute error = 4e-31
relative error = 2.4204404157213144157346994170661e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2380.4MB, alloc=4.6MB, time=135.30
x[1] = 0.712
y2[1] (analytic) = 1.6533491900952612445017254995287
y2[1] (numeric) = 1.6533491900952612445017254995291
absolute error = 4e-31
relative error = 2.4193316354239308984372027919499e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6533491900952612445017254995287
y1[1] (numeric) = 1.6533491900952612445017254995291
absolute error = 4e-31
relative error = 2.4193316354239308984372027919499e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2384.2MB, alloc=4.6MB, time=135.52
x[1] = 0.713
y2[1] (analytic) = 1.6541059199871116408370860568158
y2[1] (numeric) = 1.6541059199871116408370860568161
absolute error = 3e-31
relative error = 1.8136686192522515200038878015381e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6541059199871116408370860568158
y1[1] (numeric) = 1.6541059199871116408370860568161
absolute error = 3e-31
relative error = 1.8136686192522515200038878015381e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2388.0MB, alloc=4.6MB, time=135.73
x[1] = 0.714
y2[1] (analytic) = 1.6548619957730965588856544087971
y2[1] (numeric) = 1.6548619957730965588856544087974
absolute error = 3e-31
relative error = 1.8128399876622338189161295232283e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6548619957730965588856544087971
y1[1] (numeric) = 1.6548619957730965588856544087974
absolute error = 3e-31
relative error = 1.8128399876622338189161295232283e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2391.8MB, alloc=4.6MB, time=135.95
x[1] = 0.715
y2[1] (analytic) = 1.655617416697140275668825905437
y2[1] (numeric) = 1.6556174166971402756688259054373
absolute error = 3e-31
relative error = 1.8120128296214859800932584515009e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.655617416697140275668825905437
y1[1] (numeric) = 1.6556174166971402756688259054373
absolute error = 3e-31
relative error = 1.8120128296214859800932584515009e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2395.6MB, alloc=4.6MB, time=136.16
x[1] = 0.716
y2[1] (analytic) = 1.6563721820038219300946253354824
y2[1] (numeric) = 1.6563721820038219300946253354827
absolute error = 3e-31
relative error = 1.8111871429588388060427636028592e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6563721820038219300946253354824
y1[1] (numeric) = 1.6563721820038219300946253354827
absolute error = 3e-31
relative error = 1.8111871429588388060427636028592e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2399.4MB, alloc=4.6MB, time=136.38
x[1] = 0.717
y2[1] (analytic) = 1.6571262909383762783785050667013
y2[1] (numeric) = 1.6571262909383762783785050667017
absolute error = 4e-31
relative error = 2.4138172340111333139628939548823e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6571262909383762783785050667013
y1[1] (numeric) = 1.6571262909383762783785050667017
absolute error = 4e-31
relative error = 2.4138172340111333139628939548823e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2403.2MB, alloc=4.6MB, time=136.59
x[1] = 0.718
y2[1] (analytic) = 1.6578797427466944488085259333295
y2[1] (numeric) = 1.6578797427466944488085259333299
absolute error = 4e-31
relative error = 2.4127202334790548367368730116761e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6578797427466944488085259333295
y1[1] (numeric) = 1.6578797427466944488085259333299
absolute error = 4e-31
relative error = 2.4127202334790548367368730116761e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2407.1MB, alloc=4.6MB, time=136.81
x[1] = 0.719
y2[1] (analytic) = 1.6586325366753246958541661056053
y2[1] (numeric) = 1.6586325366753246958541661056057
absolute error = 4e-31
relative error = 2.4116251861415131161123779707386e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6586325366753246958541661056053
y1[1] (numeric) = 1.6586325366753246958541661056057
absolute error = 4e-31
relative error = 2.4116251861415131161123779707386e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2410.9MB, alloc=4.6MB, time=137.03
x[1] = 0.72
y2[1] (analytic) = 1.6593846719714731536180038326482
y2[1] (numeric) = 1.6593846719714731536180038326486
absolute error = 4e-31
relative error = 2.4105320891313891072301790131003e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6593846719714731536180038326482
y1[1] (numeric) = 1.6593846719714731536180038326486
absolute error = 4e-31
relative error = 2.4105320891313891072301790131003e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2414.7MB, alloc=4.6MB, time=137.25
x[1] = 0.721
y2[1] (analytic) = 1.6601361478830045886295206070606
y2[1] (numeric) = 1.660136147883004588629520607061
absolute error = 4e-31
relative error = 2.4094409395884641227028006063973e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6601361478830045886295206070606
y1[1] (numeric) = 1.660136147883004588629520607061
absolute error = 4e-31
relative error = 2.4094409395884641227028006063973e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2418.5MB, alloc=4.6MB, time=137.46
x[1] = 0.722
y2[1] (analytic) = 1.6608869636584431519802719575123
y2[1] (numeric) = 1.6608869636584431519802719575127
absolute error = 4e-31
relative error = 2.4083517346594027619889910980686e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6608869636584431519802719575123
y1[1] (numeric) = 1.6608869636584431519802719575127
absolute error = 4e-31
relative error = 2.4083517346594027619889910980686e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2422.3MB, alloc=4.6MB, time=137.68
x[1] = 0.723
y2[1] (analytic) = 1.6616371185469731307996737341996
y2[1] (numeric) = 1.6616371185469731307996737342
absolute error = 4e-31
relative error = 2.4072644714977358945601391173969e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6616371185469731307996737341996
y1[1] (numeric) = 1.6616371185469731307996737342
absolute error = 4e-31
relative error = 2.4072644714977358945601391173969e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2426.1MB, alloc=4.6MB, time=137.89
x[1] = 0.724
y2[1] (analytic) = 1.6623866117984396990706524114553
y2[1] (numeric) = 1.6623866117984396990706524114557
absolute error = 4e-31
relative error = 2.4061791472638436966745863703882e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6623866117984396990706524114553
y1[1] (numeric) = 1.6623866117984396990706524114557
absolute error = 4e-31
relative error = 2.4061791472638436966745863703882e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2430.0MB, alloc=4.6MB, time=138.11
x[1] = 0.725
y2[1] (analytic) = 1.6631354426633496677844085919225
y2[1] (numeric) = 1.6631354426633496677844085919229
absolute error = 4e-31
relative error = 2.4050957591249387415765155081854e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6631354426633496677844085919225
y1[1] (numeric) = 1.6631354426633496677844085919229
absolute error = 4e-31
relative error = 2.4050957591249387415765155081854e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2433.8MB, alloc=4.6MB, time=138.32
x[1] = 0.726
y2[1] (analytic) = 1.6638836103928722344335435575901
y2[1] (numeric) = 1.6638836103928722344335435575904
absolute error = 3e-31
relative error = 1.8030107281912868572026132690873e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6638836103928722344335435575901
y1[1] (numeric) = 1.6638836103928722344335435575904
absolute error = 3e-31
relative error = 1.8030107281912868572026132690873e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2437.6MB, alloc=4.6MB, time=138.54
x[1] = 0.727
y2[1] (analytic) = 1.6646311142388397318427993746266
y2[1] (numeric) = 1.6646311142388397318427993746269
absolute error = 3e-31
relative error = 1.8022010848762513135155504612937e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6646311142388397318427993746266
y1[1] (numeric) = 1.6646311142388397318427993746269
absolute error = 3e-31
relative error = 1.8022010848762513135155504612937e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2441.4MB, alloc=4.6MB, time=138.75
x[1] = 0.728
y2[1] (analytic) = 1.6653779534537483763366637213347
y2[1] (numeric) = 1.6653779534537483763366637213351
absolute error = 4e-31
relative error = 2.4018571830524054037344507513130e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6653779534537483763366637213347
y1[1] (numeric) = 1.6653779534537483763366637213351
absolute error = 4e-31
relative error = 2.4018571830524054037344507513130e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2445.2MB, alloc=4.6MB, time=138.97
x[1] = 0.729
y2[1] (analytic) = 1.666124127290759015243091271684
y2[1] (numeric) = 1.6661241272907590152430912716843
absolute error = 3e-31
relative error = 1.8005861333262256690276601329590e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.666124127290759015243091271684
y1[1] (numeric) = 1.6661241272907590152430912716843
absolute error = 3e-31
relative error = 1.8005861333262256690276601329590e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2449.0MB, alloc=4.6MB, time=139.19
x[1] = 0.73
y2[1] (analytic) = 1.6668696350036978737325941307615
y2[1] (numeric) = 1.6668696350036978737325941307619
absolute error = 4e-31
relative error = 2.3997077611838109845369017811265e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6668696350036978737325941307615
y1[1] (numeric) = 1.6668696350036978737325941307619
absolute error = 4e-31
relative error = 2.3997077611838109845369017811265e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2452.8MB, alloc=4.6MB, time=139.40
x[1] = 0.731
y2[1] (analytic) = 1.6676144758470573009919544831147
y2[1] (numeric) = 1.6676144758470573009919544831151
absolute error = 4e-31
relative error = 2.3986359305067904994303870762819e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6676144758470573009919544831147
y1[1] (numeric) = 1.6676144758470573009919544831151
absolute error = 4e-31
relative error = 2.3986359305067904994303870762819e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2456.7MB, alloc=4.6MB, time=139.62
x[1] = 0.732
y2[1] (analytic) = 1.6683586490759965157318132803332
y2[1] (numeric) = 1.6683586490759965157318132803336
absolute error = 4e-31
relative error = 2.3975660162851430972653681655343e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6683586490759965157318132803332
y1[1] (numeric) = 1.6683586490759965157318132803336
absolute error = 4e-31
relative error = 2.3975660162851430972653681655343e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2460.5MB, alloc=4.6MB, time=139.84
x[1] = 0.733
y2[1] (analytic) = 1.6691021539463423510273894603448
y2[1] (numeric) = 1.6691021539463423510273894603453
absolute error = 5e-31
relative error = 2.9956225196751726566971871059108e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6691021539463423510273894603448
y1[1] (numeric) = 1.6691021539463423510273894603453
absolute error = 5e-31
relative error = 2.9956225196751726566971871059108e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2464.3MB, alloc=4.6MB, time=140.05
x[1] = 0.734
y2[1] (analytic) = 1.6698449897145899984915848577685
y2[1] (numeric) = 1.669844989714589998491584857769
absolute error = 5e-31
relative error = 2.9942899076246593925174972523111e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6698449897145899984915848577685
y1[1] (numeric) = 1.669844989714589998491584857769
absolute error = 5e-31
relative error = 2.9942899076246593925174972523111e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2468.1MB, alloc=4.6MB, time=140.27
x[1] = 0.735
y2[1] (analytic) = 1.6705871556379037517797306322801
y2[1] (numeric) = 1.6705871556379037517797306322806
absolute error = 5e-31
relative error = 2.9929596807481617388140894667643e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6705871556379037517797306322801
y1[1] (numeric) = 1.6705871556379037517797306322806
absolute error = 5e-31
relative error = 2.9929596807481617388140894667643e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2471.9MB, alloc=4.6MB, time=140.48
x[1] = 0.736
y2[1] (analytic) = 1.671328650974117749425231710308
y2[1] (numeric) = 1.6713286509741177494252317103085
absolute error = 5e-31
relative error = 2.9916318355972646847160298082034e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.671328650974117749425231710308
y1[1] (numeric) = 1.6713286509741177494252317103085
absolute error = 5e-31
relative error = 2.9916318355972646847160298082034e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2475.7MB, alloc=4.6MB, time=140.70
x[1] = 0.737
y2[1] (analytic) = 1.672069474981736717005366404475
y2[1] (numeric) = 1.6720694749817367170053664044755
absolute error = 5e-31
relative error = 2.9903063687318451952798222373115e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.672069474981736717005366404475
y1[1] (numeric) = 1.6720694749817367170053664044755
absolute error = 5e-31
relative error = 2.9903063687318451952798222373115e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2479.5MB, alloc=4.6MB, time=140.91
x[1] = 0.738
y2[1] (analytic) = 1.6728096269199367086364990450493
y2[1] (numeric) = 1.6728096269199367086364990450498
absolute error = 5e-31
relative error = 2.9889832767200519219421429824070e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6728096269199367086364990450493
y1[1] (numeric) = 1.6728096269199367086364990450498
absolute error = 5e-31
relative error = 2.9889832767200519219421429824070e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2483.4MB, alloc=4.6MB, time=141.12
x[1] = 0.739
y2[1] (analytic) = 1.6735491060485658477979641282533
y2[1] (numeric) = 1.6735491060485658477979641282538
absolute error = 5e-31
relative error = 2.9876625561382849766386906329943e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6735491060485658477979641282533
y1[1] (numeric) = 1.6735491060485658477979641282538
absolute error = 5e-31
relative error = 2.9876625561382849766386906329943e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2487.2MB, alloc=4.6MB, time=141.34
x[1] = 0.74
y2[1] (analytic) = 1.6742879116281450674838811576082
y2[1] (numeric) = 1.6742879116281450674838811576087
absolute error = 5e-31
relative error = 2.9863442035711757693732081583654e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6742879116281450674838811576082
y1[1] (numeric) = 1.6742879116281450674838811576087
absolute error = 5e-31
relative error = 2.9863442035711757693732081583654e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2491.0MB, alloc=4.6MB, time=141.56
x[1] = 0.741
y2[1] (analytic) = 1.6750260429198688496821600265609
y2[1] (numeric) = 1.6750260429198688496821600265614
absolute error = 5e-31
relative error = 2.9850282156115669090215835518724e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6750260429198688496821600265609
y1[1] (numeric) = 1.6750260429198688496821600265614
absolute error = 5e-31
relative error = 2.9850282156115669090215835518724e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2494.8MB, alloc=4.6MB, time=141.77
x[1] = 0.742
y2[1] (analytic) = 1.6757634991856059641799574634498
y2[1] (numeric) = 1.6757634991856059641799574634503
absolute error = 5e-31
relative error = 2.9837145888604921671567826533325e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6757634991856059641799574634498
y1[1] (numeric) = 1.6757634991856059641799574634503
absolute error = 5e-31
relative error = 2.9837145888604921671567826533325e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2498.6MB, alloc=4.6MB, time=141.99
x[1] = 0.743
y2[1] (analytic) = 1.676500279687900206694845733414
y2[1] (numeric) = 1.6765002796879002066948457334145
absolute error = 5e-31
relative error = 2.9824033199271565046812109198966e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.676500279687900206694845733414
y1[1] (numeric) = 1.6765002796879002066948457334145
absolute error = 5e-31
relative error = 2.9824033199271565046812109198966e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2502.4MB, alloc=4.6MB, time=142.20
x[1] = 0.744
y2[1] (analytic) = 1.6772363836899711363309554661397
y2[1] (numeric) = 1.6772363836899711363309554661402
absolute error = 5e-31
relative error = 2.9810944054289161610539405169544e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6772363836899711363309554661397
y1[1] (numeric) = 1.6772363836899711363309554661402
absolute error = 5e-31
relative error = 2.9810944054289161610539405169544e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2506.2MB, alloc=4.6MB, time=142.42
x[1] = 0.745
y2[1] (analytic) = 1.6779718104557148123593551533613
y2[1] (numeric) = 1.6779718104557148123593551533618
absolute error = 5e-31
relative error = 2.9797878419912588059010751024968e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6779718104557148123593551533613
y1[1] (numeric) = 1.6779718104557148123593551533618
absolute error = 5e-31
relative error = 2.9797878419912588059010751024968e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2510.1MB, alloc=4.6MB, time=142.64
x[1] = 0.746
y2[1] (analytic) = 1.6787065592497045303219305358001
y2[1] (numeric) = 1.6787065592497045303219305358005
absolute error = 4e-31
relative error = 2.3827869009982270022386856783806e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6787065592497045303219305358001
y1[1] (numeric) = 1.6787065592497045303219305358005
absolute error = 4e-31
relative error = 2.3827869009982270022386856783806e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2513.9MB, alloc=4.6MB, time=142.86
x[1] = 0.747
y2[1] (analytic) = 1.6794406293371915574580277757215
y2[1] (numeric) = 1.679440629337191557458027775722
absolute error = 5e-31
relative error = 2.9771817548401822350159510931560e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6794406293371915574580277757215
y1[1] (numeric) = 1.679440629337191557458027775722
absolute error = 5e-31
relative error = 2.9771817548401822350159510931560e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2517.7MB, alloc=4.6MB, time=143.07
x[1] = 0.748
y2[1] (analytic) = 1.6801740199841058674531249885306
y2[1] (numeric) = 1.680174019984105867453124988531
absolute error = 4e-31
relative error = 2.3807057795345741944129298709773e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6801740199841058674531249885306
y1[1] (numeric) = 1.680174019984105867453124988531
absolute error = 4e-31
relative error = 2.3807057795345741944129298709773e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2521.5MB, alloc=4.6MB, time=143.28
x[1] = 0.749
y2[1] (analytic) = 1.6809067304570568745087973847929
y2[1] (numeric) = 1.6809067304570568745087973847933
absolute error = 4e-31
relative error = 2.3796680253117651387965368443052e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6809067304570568745087973847929
y1[1] (numeric) = 1.6809067304570568745087973847933
absolute error = 4e-31
relative error = 2.3796680253117651387965368443052e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2525.3MB, alloc=4.6MB, time=143.50
x[1] = 0.75
y2[1] (analytic) = 1.6816387600233341667332419527799
y2[1] (numeric) = 1.6816387600233341667332419527803
absolute error = 4e-31
relative error = 2.3786321385363980318117452389586e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6816387600233341667332419527799
y1[1] (numeric) = 1.6816387600233341667332419527803
absolute error = 4e-31
relative error = 2.3786321385363980318117452389586e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2529.1MB, alloc=4.6MB, time=143.72
x[1] = 0.751
y2[1] (analytic) = 1.6823701079509082388516282910726
y2[1] (numeric) = 1.682370107950908238851628291073
absolute error = 4e-31
relative error = 2.3775981165475631946049599052771e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6823701079509082388516282910726
y1[1] (numeric) = 1.682370107950908238851628291073
absolute error = 4e-31
relative error = 2.3775981165475631946049599052771e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2532.9MB, alloc=4.6MB, time=143.94
x[1] = 0.752
y2[1] (analytic) = 1.6831007735084312242355428809353
y2[1] (numeric) = 1.6831007735084312242355428809357
absolute error = 4e-31
relative error = 2.3765659566907463247675721104628e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6831007735084312242355428809353
y1[1] (numeric) = 1.6831007735084312242355428809357
absolute error = 4e-31
relative error = 2.3765659566907463247675721104628e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2536.8MB, alloc=4.6MB, time=144.15
x[1] = 0.753
y2[1] (analytic) = 1.6838307559652376262507947690758
y2[1] (numeric) = 1.6838307559652376262507947690761
absolute error = 3e-31
relative error = 1.7816517422383597581434202772045e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6838307559652376262507947690758
y1[1] (numeric) = 1.6838307559652376262507947690761
absolute error = 3e-31
relative error = 1.7816517422383597581434202772045e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2540.6MB, alloc=4.6MB, time=144.37
x[1] = 0.754
y2[1] (analytic) = 1.6845600545913450489228513130465
y2[1] (numeric) = 1.6845600545913450489228513130469
absolute error = 4e-31
relative error = 2.3745072127869932953347902056068e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6845600545913450489228513130465
y1[1] (numeric) = 1.6845600545913450489228513130469
absolute error = 4e-31
relative error = 2.3745072127869932953347902056068e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2544.4MB, alloc=4.6MB, time=144.59
TOP MAIN SOLVE Loop
x[1] = 0.755
y2[1] (analytic) = 1.6852886686574549269191733239135
y2[1] (numeric) = 1.6852886686574549269191733239139
absolute error = 4e-31
relative error = 2.3734806234628662857401633631872e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6852886686574549269191733239135
y1[1] (numeric) = 1.6852886686574549269191733239139
absolute error = 4e-31
relative error = 2.3734806234628662857401633631872e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2548.2MB, alloc=4.6MB, time=144.81
TOP MAIN SOLVE Loop
x[1] = 0.756
y2[1] (analytic) = 1.6860165974349532548477196239165
y2[1] (numeric) = 1.6860165974349532548477196239169
absolute error = 4e-31
relative error = 2.3724558857163448139680716861772e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6860165974349532548477196239165
y1[1] (numeric) = 1.6860165974349532548477196239169
absolute error = 4e-31
relative error = 2.3724558857163448139680716861772e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2552.0MB, alloc=4.6MB, time=145.03
TOP MAIN SOLVE Loop
x[1] = 0.757
y2[1] (analytic) = 1.686743840195911315870891720679
y2[1] (numeric) = 1.6867438401959113158708917206794
absolute error = 4e-31
relative error = 2.3714329969246601434589128318383e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.686743840195911315870891720679
y1[1] (numeric) = 1.6867438401959113158708917206794
absolute error = 4e-31
relative error = 2.3714329969246601434589128318383e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2555.8MB, alloc=4.6MB, time=145.25
TOP MAIN SOLVE Loop
x[1] = 0.758
y2[1] (analytic) = 1.6874703962130864096341899840818
y2[1] (numeric) = 1.6874703962130864096341899840822
absolute error = 4e-31
relative error = 2.3704119544713467241577242540745e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6874703962130864096341899840818
y1[1] (numeric) = 1.6874703962130864096341899840822
absolute error = 4e-31
relative error = 2.3704119544713467241577242540745e-29 %
Correct digits = 30
h = 0.001
memory used=2559.7MB, alloc=4.6MB, time=145.46
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2563.5MB, alloc=4.6MB, time=145.68
x[1] = 0.759
y2[1] (analytic) = 1.6881962647599225795088533972068
y2[1] (numeric) = 1.6881962647599225795088533972071
absolute error = 3e-31
relative error = 1.7770445668096702463072163388449e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6881962647599225795088533972068
y1[1] (numeric) = 1.6881962647599225795088533972071
absolute error = 3e-31
relative error = 1.7770445668096702463072163388449e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2567.3MB, alloc=4.6MB, time=145.90
x[1] = 0.76
y2[1] (analytic) = 1.6889214451105513391477556387697
y2[1] (numeric) = 1.6889214451105513391477556387701
absolute error = 4e-31
relative error = 2.3683753981453962342993563621979e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6889214451105513391477556387697
y1[1] (numeric) = 1.6889214451105513391477556387701
absolute error = 4e-31
relative error = 2.3683753981453962342993563621979e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2571.1MB, alloc=4.6MB, time=146.12
x[1] = 0.761
y2[1] (analytic) = 1.6896459365397923983538309412086
y2[1] (numeric) = 1.689645936539792398353830941209
absolute error = 4e-31
relative error = 2.3673598790712074562759269941097e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6896459365397923983538309412086
y1[1] (numeric) = 1.689645936539792398353830941209
absolute error = 4e-31
relative error = 2.3673598790712074562759269941097e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2574.9MB, alloc=4.6MB, time=146.33
x[1] = 0.762
y2[1] (analytic) = 1.6903697383231543882603038560603
y2[1] (numeric) = 1.6903697383231543882603038560606
absolute error = 3e-31
relative error = 1.7747596469491922671778574671364e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6903697383231543882603038560603
y1[1] (numeric) = 1.6903697383231543882603038560606
absolute error = 3e-31
relative error = 1.7747596469491922671778574671364e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2578.7MB, alloc=4.6MB, time=146.55
x[1] = 0.763
y2[1] (analytic) = 1.6910928497368355858219977464571
y2[1] (numeric) = 1.6910928497368355858219977464574
absolute error = 3e-31
relative error = 1.7740007596075247261872375887312e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6910928497368355858219977464571
y1[1] (numeric) = 1.6910928497368355858219977464574
absolute error = 3e-31
relative error = 1.7740007596075247261872375887312e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2582.5MB, alloc=4.6MB, time=146.77
x[1] = 0.764
y2[1] (analytic) = 1.6918152700577246376169975154955
y2[1] (numeric) = 1.6918152700577246376169975154959
absolute error = 4e-31
relative error = 2.3643243271255733700805435974893e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6918152700577246376169975154955
y1[1] (numeric) = 1.6918152700577246376169975154959
absolute error = 4e-31
relative error = 2.3643243271255733700805435974893e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2586.4MB, alloc=4.6MB, time=146.98
x[1] = 0.765
y2[1] (analytic) = 1.6925369985634012829579427688738
y2[1] (numeric) = 1.6925369985634012829579427688741
absolute error = 3e-31
relative error = 1.7724871022295835760379911957654e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6925369985634012829579427688738
y1[1] (numeric) = 1.6925369985634012829579427688741
absolute error = 3e-31
relative error = 1.7724871022295835760379911957654e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2590.2MB, alloc=4.6MB, time=147.20
x[1] = 0.766
y2[1] (analytic) = 1.6932580345321370763122283005656
y2[1] (numeric) = 1.6932580345321370763122283005659
absolute error = 3e-31
relative error = 1.7717323283387979712901425018537e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6932580345321370763122283005656
y1[1] (numeric) = 1.6932580345321370763122283005659
absolute error = 3e-31
relative error = 1.7717323283387979712901425018537e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2594.0MB, alloc=4.6MB, time=147.42
x[1] = 0.767
y2[1] (analytic) = 1.6939783772428961090303894813906
y2[1] (numeric) = 1.6939783772428961090303894813909
absolute error = 3e-31
relative error = 1.7709789217515118911885161364001e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6939783772428961090303894813906
y1[1] (numeric) = 1.6939783772428961090303894813909
absolute error = 3e-31
relative error = 1.7709789217515118911885161364001e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2597.8MB, alloc=4.6MB, time=147.63
x[1] = 0.768
y2[1] (analytic) = 1.6946980259753357303819508221551
y2[1] (numeric) = 1.6946980259753357303819508221554
absolute error = 3e-31
relative error = 1.7702268805520290097199023822523e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6946980259753357303819508221551
y1[1] (numeric) = 1.6946980259753357303819508221554
absolute error = 3e-31
relative error = 1.7702268805520290097199023822523e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2601.6MB, alloc=4.6MB, time=147.85
x[1] = 0.769
y2[1] (analytic) = 1.6954169800098072678980166755753
y2[1] (numeric) = 1.6954169800098072678980166755756
absolute error = 3e-31
relative error = 1.7694762028292569494259094801039e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6954169800098072678980166755753
y1[1] (numeric) = 1.6954169800098072678980166755756
absolute error = 3e-31
relative error = 1.7694762028292569494259094801039e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2605.4MB, alloc=4.6MB, time=148.07
x[1] = 0.77
y2[1] (analytic) = 1.6961352386273567470198837344522
y2[1] (numeric) = 1.6961352386273567470198837344525
absolute error = 3e-31
relative error = 1.7687268866766962682535231266201e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6961352386273567470198837344522
y1[1] (numeric) = 1.6961352386273567470198837344525
absolute error = 3e-31
relative error = 1.7687268866766962682535231266201e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2609.2MB, alloc=4.6MB, time=148.28
x[1] = 0.771
y2[1] (analytic) = 1.696852801109725610052955677546
y2[1] (numeric) = 1.6968528011097256100529556775463
absolute error = 3e-31
relative error = 1.7679789301924294807018229601358e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.696852801109725610052955677546
y1[1] (numeric) = 1.6968528011097256100529556775463
absolute error = 3e-31
relative error = 1.7679789301924294807018229601358e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2613.1MB, alloc=4.6MB, time=148.50
x[1] = 0.772
y2[1] (analytic) = 1.6975696667393514344252410092942
y2[1] (numeric) = 1.6975696667393514344252410092945
absolute error = 3e-31
relative error = 1.7672323314791101131505827322569e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6975696667393514344252410092942
y1[1] (numeric) = 1.6975696667393514344252410092945
absolute error = 3e-31
relative error = 1.7672323314791101131505827322569e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2616.9MB, alloc=4.6MB, time=148.71
x[1] = 0.773
y2[1] (analytic) = 1.6982858347993686502497158349369
y2[1] (numeric) = 1.6982858347993686502497158349371
absolute error = 2e-31
relative error = 1.1776580590959678621712839913351e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6982858347993686502497158349369
y1[1] (numeric) = 1.6982858347993686502497158349371
absolute error = 2e-31
relative error = 1.1776580590959678621712839913351e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2620.7MB, alloc=4.6MB, time=148.93
x[1] = 0.774
y2[1] (analytic) = 1.6990013045736092571898340087447
y2[1] (numeric) = 1.699001304573609257189834008745
absolute error = 3e-31
relative error = 1.7657431997987173733066523107937e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6990013045736092571898340087447
y1[1] (numeric) = 1.699001304573609257189834008745
absolute error = 3e-31
relative error = 1.7657431997987173733066523107937e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2624.5MB, alloc=4.6MB, time=149.14
x[1] = 0.775
y2[1] (analytic) = 1.6997160753466035406274677899009
y2[1] (numeric) = 1.6997160753466035406274677899011
absolute error = 2e-31
relative error = 1.1766671087064720582715270569780e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.6997160753466035406274677899009
y1[1] (numeric) = 1.6997160753466035406274677899011
absolute error = 2e-31
relative error = 1.1766671087064720582715270569780e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2628.3MB, alloc=4.6MB, time=149.37
x[1] = 0.776
y2[1] (analytic) = 1.7004301464035807871325628381541
y2[1] (numeric) = 1.7004301464035807871325628381544
absolute error = 3e-31
relative error = 1.7642594765477527424103751814367e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7004301464035807871325628381541
y1[1] (numeric) = 1.7004301464035807871325628381544
absolute error = 3e-31
relative error = 1.7642594765477527424103751814367e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2632.1MB, alloc=4.6MB, time=149.58
x[1] = 0.777
y2[1] (analytic) = 1.7011435170304699992337920796493
y2[1] (numeric) = 1.7011435170304699992337920796496
absolute error = 3e-31
relative error = 1.7635196383881969424508786778573e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7011435170304699992337920796493
y1[1] (numeric) = 1.7011435170304699992337920796496
absolute error = 3e-31
relative error = 1.7635196383881969424508786778573e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2635.9MB, alloc=4.6MB, time=149.80
x[1] = 0.778
y2[1] (analytic) = 1.7018561865139006094894936723398
y2[1] (numeric) = 1.7018561865139006094894936723401
absolute error = 3e-31
relative error = 1.7627811467108923469921704999534e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7018561865139006094894936723398
y1[1] (numeric) = 1.7018561865139006094894936723401
absolute error = 3e-31
relative error = 1.7627811467108923469921704999534e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2639.8MB, alloc=4.6MB, time=150.02
x[1] = 0.779
y2[1] (analytic) = 1.7025681541412031938581790001042
y2[1] (numeric) = 1.7025681541412031938581790001045
absolute error = 3e-31
relative error = 1.7620439996501859622653048292156e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7025681541412031938581790001042
y1[1] (numeric) = 1.7025681541412031938581790001045
absolute error = 3e-31
relative error = 1.7620439996501859622653048292156e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2643.6MB, alloc=4.6MB, time=150.23
x[1] = 0.78
y2[1] (analytic) = 1.7032794192004101843678973251179
y2[1] (numeric) = 1.7032794192004101843678973251182
absolute error = 3e-31
relative error = 1.7613081953449094659918732785919e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7032794192004101843678973251179
y1[1] (numeric) = 1.7032794192004101843678973251182
absolute error = 3e-31
relative error = 1.7613081953449094659918732785919e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2647.4MB, alloc=4.6MB, time=150.45
x[1] = 0.781
y2[1] (analytic) = 1.7039899809802565810837444291757
y2[1] (numeric) = 1.703989980980256581083744429176
absolute error = 3e-31
relative error = 1.7605737319383685652800881407048e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7039899809802565810837444291757
y1[1] (numeric) = 1.703989980980256581083744429176
absolute error = 3e-31
relative error = 1.7605737319383685652800881407048e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2651.2MB, alloc=4.6MB, time=150.67
x[1] = 0.782
y2[1] (analytic) = 1.7046998387701806633728032765141
y2[1] (numeric) = 1.7046998387701806633728032765144
absolute error = 3e-31
relative error = 1.7598406075783323875841905210812e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7046998387701806633728032765141
y1[1] (numeric) = 1.7046998387701806633728032765144
absolute error = 3e-31
relative error = 1.7598406075783323875841905210812e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2655.0MB, alloc=4.6MB, time=150.89
x[1] = 0.783
y2[1] (analytic) = 1.705408991860324700465805433254
y2[1] (numeric) = 1.7054089918603247004658054332543
absolute error = 3e-31
relative error = 1.7591088204170229046177043688732e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.705408991860324700465805433254
y1[1] (numeric) = 1.7054089918603247004658054332543
absolute error = 3e-31
relative error = 1.7591088204170229046177043688732e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2658.8MB, alloc=4.6MB, time=151.10
x[1] = 0.784
y2[1] (analytic) = 1.70611743954153566131480268186
y2[1] (numeric) = 1.7061174395415356613148026818603
absolute error = 3e-31
relative error = 1.7583783686111043891114823230754e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.70611743954153566131480268186
y1[1] (numeric) = 1.7061174395415356613148026818603
absolute error = 3e-31
relative error = 1.7583783686111043891114823230754e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2662.7MB, alloc=4.6MB, time=151.32
x[1] = 0.785
y2[1] (analytic) = 1.7068251811053659237461389730047
y2[1] (numeric) = 1.706825181105365923746138973005
absolute error = 3e-31
relative error = 1.7576492503216729043079124112102e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7068251811053659237461389730047
y1[1] (numeric) = 1.706825181105365923746138973005
absolute error = 3e-31
relative error = 1.7576492503216729043079124112102e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2666.5MB, alloc=4.6MB, time=151.53
x[1] = 0.786
y2[1] (analytic) = 1.707532215844073982908013561925
y2[1] (numeric) = 1.7075322158440739829080135619253
absolute error = 3e-31
relative error = 1.7569214637142458260830759782541e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.707532215844073982908013561925
y1[1] (numeric) = 1.7075322158440739829080135619253
absolute error = 3e-31
relative error = 1.7569214637142458260830759782541e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2670.3MB, alloc=4.6MB, time=151.75
x[1] = 0.787
y2[1] (analytic) = 1.7082385430506251590119268817658
y2[1] (numeric) = 1.7082385430506251590119268817661
absolute error = 3e-31
relative error = 1.7561950069587513975890667945489e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7082385430506251590119268817658
y1[1] (numeric) = 1.7082385430506251590119268817661
absolute error = 3e-31
relative error = 1.7561950069587513975890667945489e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2674.1MB, alloc=4.6MB, time=151.96
x[1] = 0.788
y2[1] (analytic) = 1.7089441620186923043673014125252
y2[1] (numeric) = 1.7089441620186923043673014125255
absolute error = 3e-31
relative error = 1.7554698782295183163090991008862e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7089441620186923043673014125252
y1[1] (numeric) = 1.7089441620186923043673014125255
absolute error = 3e-31
relative error = 1.7554698782295183163090991008862e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2677.9MB, alloc=4.6MB, time=152.18
x[1] = 0.789
y2[1] (analytic) = 1.7096490720426565097085705110381
y2[1] (numeric) = 1.7096490720426565097085705110384
absolute error = 3e-31
relative error = 1.7547460757052653534184484051239e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7096490720426565097085705110381
y1[1] (numeric) = 1.7096490720426565097085705110384
absolute error = 3e-31
relative error = 1.7547460757052653534184484051239e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2681.7MB, alloc=4.6MB, time=152.40
x[1] = 0.79
y2[1] (analytic) = 1.7103532724176078098140288749692
y2[1] (numeric) = 1.7103532724176078098140288749695
absolute error = 3e-31
relative error = 1.7540235975690910053446831558070e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7103532724176078098140288749692
y1[1] (numeric) = 1.7103532724176078098140288749695
absolute error = 3e-31
relative error = 1.7540235975690910053446831558070e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2685.5MB, alloc=4.6MB, time=152.61
x[1] = 0.791
y2[1] (analytic) = 1.711056762439345888415739022023
y2[1] (numeric) = 1.7110567624393458884157390220233
absolute error = 3e-31
relative error = 1.7533024420084631774210579924931e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.711056762439345888415739022023
y1[1] (numeric) = 1.7110567624393458884157390220233
absolute error = 3e-31
relative error = 1.7533024420084631774210579924931e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2689.4MB, alloc=4.6MB, time=152.83
x[1] = 0.792
y2[1] (analytic) = 1.7117595414043807823997888745235
y2[1] (numeric) = 1.7117595414043807823997888745239
absolute error = 4e-31
relative error = 2.3367768096202785327031334906151e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7117595414043807823997888745235
y1[1] (numeric) = 1.7117595414043807823997888745239
absolute error = 4e-31
relative error = 2.3367768096202785327031334906151e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2693.2MB, alloc=4.6MB, time=153.05
x[1] = 0.793
y2[1] (analytic) = 1.7124616086099335852961962491652
y2[1] (numeric) = 1.7124616086099335852961962491656
absolute error = 4e-31
relative error = 2.3358187885140054314837726163950e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7124616086099335852961962491652
y1[1] (numeric) = 1.7124616086099335852961962491656
absolute error = 4e-31
relative error = 2.3358187885140054314837726163950e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2697.0MB, alloc=4.6MB, time=153.26
x[1] = 0.794
y2[1] (analytic) = 1.7131629633539371500577567620875
y2[1] (numeric) = 1.7131629633539371500577567620879
absolute error = 4e-31
relative error = 2.3348625236264843373286142947290e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7131629633539371500577567620875
y1[1] (numeric) = 1.7131629633539371500577567620879
absolute error = 4e-31
relative error = 2.3348625236264843373286142947290e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2700.8MB, alloc=4.6MB, time=153.48
x[1] = 0.795
y2[1] (analytic) = 1.713863604935036791127132370486
y2[1] (numeric) = 1.7138636049350367911271323704864
absolute error = 4e-31
relative error = 2.3339080125641726044531214096711e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.713863604935036791127132370486
y1[1] (numeric) = 1.7138636049350367911271323704864
absolute error = 4e-31
relative error = 2.3339080125641726044531214096711e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2704.6MB, alloc=4.6MB, time=153.70
x[1] = 0.796
y2[1] (analytic) = 1.7145635326525909857914784837286
y2[1] (numeric) = 1.7145635326525909857914784837291
absolute error = 5e-31
relative error = 2.9161940661741066586479687801875e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7145635326525909857914784837286
y1[1] (numeric) = 1.7145635326525909857914784837291
absolute error = 5e-31
relative error = 2.9161940661741066586479687801875e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2708.4MB, alloc=4.6MB, time=153.91
x[1] = 0.797
y2[1] (analytic) = 1.7152627458066720748239082894086
y2[1] (numeric) = 1.7152627458066720748239082894091
absolute error = 5e-31
relative error = 2.9150053029622272966330675655087e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7152627458066720748239082894086
y1[1] (numeric) = 1.7152627458066720748239082894091
absolute error = 5e-31
relative error = 2.9150053029622272966330675655087e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2712.2MB, alloc=4.6MB, time=154.13
x[1] = 0.798
y2[1] (analytic) = 1.7159612436980669624110936529281
y2[1] (numeric) = 1.7159612436980669624110936529286
absolute error = 5e-31
relative error = 2.9138187230991903090142092524391e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7159612436980669624110936529281
y1[1] (numeric) = 1.7159612436980669624110936529286
absolute error = 5e-31
relative error = 2.9138187230991903090142092524391e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2716.1MB, alloc=4.6MB, time=154.34
x[1] = 0.799
y2[1] (analytic) = 1.7166590256282778153663026630705
y2[1] (numeric) = 1.716659025628277815366302663071
absolute error = 5e-31
relative error = 2.9126343236217550367604394528760e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7166590256282778153663026630705
y1[1] (numeric) = 1.716659025628277815366302663071
absolute error = 5e-31
relative error = 2.9126343236217550367604394528760e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2719.9MB, alloc=4.6MB, time=154.56
x[1] = 0.8
y2[1] (analytic) = 1.7173560908995227616271746105814
y2[1] (numeric) = 1.7173560908995227616271746105819
absolute error = 5e-31
relative error = 2.9114521015738108019560954444235e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7173560908995227616271746105814
y1[1] (numeric) = 1.7173560908995227616271746105819
absolute error = 5e-31
relative error = 2.9114521015738108019560954444235e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2723.7MB, alloc=4.6MB, time=154.78
x[1] = 0.801
y2[1] (analytic) = 1.718052438814736588037533902042
y2[1] (numeric) = 1.7180524388147365880375339020425
absolute error = 5e-31
relative error = 2.9102720540063602391965363645248e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.718052438814736588037533902042
y1[1] (numeric) = 1.7180524388147365880375339020425
absolute error = 5e-31
relative error = 2.9102720540063602391965363645248e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2727.5MB, alloc=4.6MB, time=154.99
x[1] = 0.802
y2[1] (analytic) = 1.7187480686775714374125451272789
y2[1] (numeric) = 1.7187480686775714374125451272794
absolute error = 5e-31
relative error = 2.9090941779775026785713408746587e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7187480686775714374125451272789
y1[1] (numeric) = 1.7187480686775714374125451272794
absolute error = 5e-31
relative error = 2.9090941779775026785713408746587e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2731.3MB, alloc=4.6MB, time=155.21
x[1] = 0.803
y2[1] (analytic) = 1.7194429797923975048865122152131
y2[1] (numeric) = 1.7194429797923975048865122152136
absolute error = 5e-31
relative error = 2.9079184705524175800661206825640e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7194429797923975048865122152131
y1[1] (numeric) = 1.7194429797923975048865122152136
absolute error = 5e-31
relative error = 2.9079184705524175800661206825640e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2735.1MB, alloc=4.6MB, time=155.42
x[1] = 0.804
y2[1] (analytic) = 1.7201371714643037335426253304078
y2[1] (numeric) = 1.7201371714643037335426253304083
absolute error = 5e-31
relative error = 2.9067449288033480192147495104490e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7201371714643037335426253304078
y1[1] (numeric) = 1.7201371714643037335426253304083
absolute error = 5e-31
relative error = 2.9067449288033480192147495104490e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2738.9MB, alloc=4.6MB, time=155.64
x[1] = 0.805
y2[1] (analytic) = 1.7208306429990985093239598806256
y2[1] (numeric) = 1.7208306429990985093239598806261
absolute error = 5e-31
relative error = 2.9055735498095842238344555859622e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7208306429990985093239598806256
y1[1] (numeric) = 1.7208306429990985093239598806261
absolute error = 5e-31
relative error = 2.9055735498095842238344555859622e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2742.8MB, alloc=4.6MB, time=155.86
x[1] = 0.806
y2[1] (analytic) = 1.7215233937033103552250327244533
y2[1] (numeric) = 1.7215233937033103552250327244538
absolute error = 5e-31
relative error = 2.9044043306574471616768715229915e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7215233937033103552250327244533
y1[1] (numeric) = 1.7215233937033103552250327244538
absolute error = 5e-31
relative error = 2.9044043306574471616768715229915e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2746.6MB, alloc=4.6MB, time=156.08
x[1] = 0.807
y2[1] (analytic) = 1.7222154228841886247632213874979
y2[1] (numeric) = 1.7222154228841886247632213874984
absolute error = 5e-31
relative error = 2.9032372684402721788287785636618e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7222154228841886247632213874979
y1[1] (numeric) = 1.7222154228841886247632213874984
absolute error = 5e-31
relative error = 2.9032372684402721788287785636618e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2750.4MB, alloc=4.6MB, time=156.29
x[1] = 0.808
y2[1] (analytic) = 1.7229067298497041947293528157898
y2[1] (numeric) = 1.7229067298497041947293528157903
absolute error = 5e-31
relative error = 2.9020723602583926886969225837501e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7229067298497041947293528157898
y1[1] (numeric) = 1.7229067298497041947293528157903
absolute error = 5e-31
relative error = 2.9020723602583926886969225837501e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2754.2MB, alloc=4.6MB, time=156.51
x[1] = 0.809
y2[1] (analytic) = 1.7235973139085501572167689158648
y2[1] (numeric) = 1.7235973139085501572167689158653
absolute error = 5e-31
relative error = 2.9009096032191239114119170335308e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7235973139085501572167689158648
y1[1] (numeric) = 1.7235973139085501572167689158653
absolute error = 5e-31
relative error = 2.9009096032191239114119170335308e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2758.0MB, alloc=4.6MB, time=156.73
x[1] = 0.81
y2[1] (analytic) = 1.7242871743701425109281768525145
y2[1] (numeric) = 1.724287174370142510928176852515
absolute error = 5e-31
relative error = 2.8997489944367466634868831072129e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7242871743701425109281768525145
y1[1] (numeric) = 1.724287174370142510928176852515
absolute error = 5e-31
relative error = 2.8997489944367466634868831072129e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2761.8MB, alloc=4.6MB, time=156.94
x[1] = 0.811
y2[1] (analytic) = 1.7249763105446208517595927974149
y2[1] (numeric) = 1.7249763105446208517595927974154
absolute error = 5e-31
relative error = 2.8985905310324911975671099189204e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7249763105446208517595927974149
y1[1] (numeric) = 1.7249763105446208517595927974154
absolute error = 5e-31
relative error = 2.8985905310324911975671099189204e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2765.6MB, alloc=4.6MB, time=157.16
x[1] = 0.812
y2[1] (analytic) = 1.7256647217428490626606885447446
y2[1] (numeric) = 1.7256647217428490626606885447451
absolute error = 5e-31
relative error = 2.8974342101345210921076473238753e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7256647217428490626606885447446
y1[1] (numeric) = 1.7256647217428490626606885447451
absolute error = 5e-31
relative error = 2.8974342101345210921076473238753e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2769.5MB, alloc=4.6MB, time=157.37
x[1] = 0.813
y2[1] (analytic) = 1.7263524072764160027708511335054
y2[1] (numeric) = 1.7263524072764160027708511335059
absolute error = 5e-31
relative error = 2.8962800288779171908163712722288e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7263524072764160027708511335054
y1[1] (numeric) = 1.7263524072764160027708511335059
absolute error = 5e-31
relative error = 2.8962800288779171908163712722288e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2773.3MB, alloc=4.6MB, time=157.59
x[1] = 0.814
y2[1] (analytic) = 1.7270393664576361958302663405423
y2[1] (numeric) = 1.7270393664576361958302663405428
absolute error = 5e-31
relative error = 2.8951279844046615917006862320116e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7270393664576361958302663405423
y1[1] (numeric) = 1.7270393664576361958302663405428
absolute error = 5e-31
relative error = 2.8951279844046615917006862320116e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2777.1MB, alloc=4.6MB, time=157.81
x[1] = 0.815
y2[1] (analytic) = 1.7277255985995505178653376332361
y2[1] (numeric) = 1.7277255985995505178653376332366
absolute error = 5e-31
relative error = 2.8939780738636216855566512789827e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7277255985995505178653376332361
y1[1] (numeric) = 1.7277255985995505178653376332366
absolute error = 5e-31
relative error = 2.8939780738636216855566512789827e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2780.9MB, alloc=4.6MB, time=158.03
x[1] = 0.816
y2[1] (analytic) = 1.7284111030159268841477528965088
y2[1] (numeric) = 1.7284111030159268841477528965093
absolute error = 5e-31
relative error = 2.8928302944105342437399359367656e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7284111030159268841477528965088
y1[1] (numeric) = 1.7284111030159268841477528965093
absolute error = 5e-31
relative error = 2.8928302944105342437399359367656e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2784.7MB, alloc=4.6MB, time=158.24
x[1] = 0.817
y2[1] (analytic) = 1.72909587902126093542651197513
y2[1] (numeric) = 1.7290958790212609354265119751305
absolute error = 5e-31
relative error = 2.8916846432079895550586287725237e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.72909587902126093542651197513
y1[1] (numeric) = 1.7290958790212609354265119751305
absolute error = 5e-31
relative error = 2.8916846432079895550586287725237e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2788.5MB, alloc=4.6MB, time=158.46
x[1] = 0.818
y2[1] (analytic) = 1.7297799259307767234322287993561
y2[1] (numeric) = 1.7297799259307767234322287993566
absolute error = 5e-31
relative error = 2.8905411174254156116285361234153e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7297799259307767234322287993561
y1[1] (numeric) = 1.7297799259307767234322287993566
absolute error = 5e-31
relative error = 2.8905411174254156116285361234153e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2792.4MB, alloc=4.6MB, time=158.67
TOP MAIN SOLVE Loop
x[1] = 0.819
y2[1] (analytic) = 1.7304632430604273956530225896556
y2[1] (numeric) = 1.7304632430604273956530225896561
absolute error = 5e-31
relative error = 2.8893997142390623435322201590359e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7304632430604273956530225896556
y1[1] (numeric) = 1.7304632430604273956530225896561
absolute error = 5e-31
relative error = 2.8893997142390623435322201590359e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2796.2MB, alloc=4.6MB, time=158.89
TOP MAIN SOLVE Loop
x[1] = 0.82
y2[1] (analytic) = 1.7311458297268958793813133646877
y2[1] (numeric) = 1.7311458297268958793813133646882
absolute error = 5e-31
relative error = 2.8882604308319859021236347867406e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7311458297268958793813133646877
y1[1] (numeric) = 1.7311458297268958793813133646882
absolute error = 5e-31
relative error = 2.8882604308319859021236347867406e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2800.0MB, alloc=4.6MB, time=159.11
TOP MAIN SOLVE Loop
x[1] = 0.821
y2[1] (analytic) = 1.7318276852475955650308377057945
y2[1] (numeric) = 1.731827685247595565030837705795
absolute error = 5e-31
relative error = 2.8871232643940329918208246918871e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7318276852475955650308377057945
y1[1] (numeric) = 1.731827685247595565030837705795
absolute error = 5e-31
relative error = 2.8871232643940329918208246918871e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2803.8MB, alloc=4.6MB, time=159.33
TOP MAIN SOLVE Loop
x[1] = 0.822
y2[1] (analytic) = 1.7325088089406709887232014610491
y2[1] (numeric) = 1.7325088089406709887232014610496
absolute error = 5e-31
relative error = 2.8859882121218252502297570852673e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7325088089406709887232014610491
y1[1] (numeric) = 1.7325088089406709887232014610496
absolute error = 5e-31
relative error = 2.8859882121218252502297570852673e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2807.6MB, alloc=4.6MB, time=159.54
TOP MAIN SOLVE Loop
x[1] = 0.823
y2[1] (analytic) = 1.7331892001249985141432868023628
y2[1] (numeric) = 1.7331892001249985141432868023633
memory used=2811.4MB, alloc=4.6MB, time=159.76
absolute error = 5e-31
relative error = 2.8848552712187436764429575169320e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7331892001249985141432868023628
y1[1] (numeric) = 1.7331892001249985141432868023633
absolute error = 5e-31
relative error = 2.8848552712187436764429575169320e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2815.2MB, alloc=4.6MB, time=159.97
x[1] = 0.824
y2[1] (analytic) = 1.7338688581201870136628317803018
y2[1] (numeric) = 1.7338688581201870136628317803024
absolute error = 6e-31
relative error = 3.4604693266738957288286645049136e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7338688581201870136628317803018
y1[1] (numeric) = 1.7338688581201870136628317803024
absolute error = 6e-31
relative error = 3.4604693266738957288286645049136e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2819.1MB, alloc=4.6MB, time=160.19
x[1] = 0.825
y2[1] (analytic) = 1.7345477822465785487315012530908
y2[1] (numeric) = 1.7345477822465785487315012530913
absolute error = 5e-31
relative error = 2.8825957123671867418552618890021e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7345477822465785487315012530908
y1[1] (numeric) = 1.7345477822465785487315012530913
absolute error = 5e-31
relative error = 2.8825957123671867418552618890021e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2822.9MB, alloc=4.6MB, time=160.41
x[1] = 0.826
y2[1] (analytic) = 1.7352259718252490495347687987877
y2[1] (numeric) = 1.7352259718252490495347687987882
absolute error = 5e-31
relative error = 2.8814690888591307126967765519844e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7352259718252490495347687987877
y1[1] (numeric) = 1.7352259718252490495347687987882
absolute error = 5e-31
relative error = 2.8814690888591307126967765519844e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2826.7MB, alloc=4.6MB, time=160.62
x[1] = 0.827
y2[1] (analytic) = 1.735903426178008993917929952807
y2[1] (numeric) = 1.7359034261780089939179299528074
absolute error = 4e-31
relative error = 2.3042756524808069647719618933672e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.735903426178008993917929952807
y1[1] (numeric) = 1.7359034261780089939179299528074
absolute error = 4e-31
relative error = 2.3042756524808069647719618933672e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2830.5MB, alloc=4.6MB, time=160.84
x[1] = 0.828
y2[1] (analytic) = 1.7365801446274040855755678468317
y2[1] (numeric) = 1.7365801446274040855755678468322
absolute error = 5e-31
relative error = 2.8792221398297666279150866102943e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7365801446274040855755678468317
y1[1] (numeric) = 1.7365801446274040855755678468322
absolute error = 5e-31
relative error = 2.8792221398297666279150866102943e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2834.3MB, alloc=4.6MB, time=161.06
x[1] = 0.829
y2[1] (analytic) = 1.7372561264967159315057930597084
y2[1] (numeric) = 1.7372561264967159315057930597088
absolute error = 4e-31
relative error = 2.3024814470312138552580267532812e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7372561264967159315057930597084
y1[1] (numeric) = 1.7372561264967159315057930597088
absolute error = 4e-31
relative error = 2.3024814470312138552580267532812e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2838.1MB, alloc=4.6MB, time=161.27
x[1] = 0.83
y2[1] (analytic) = 1.7379313711099627187285802261381
y2[1] (numeric) = 1.7379313711099627187285802261385
absolute error = 4e-31
relative error = 2.3015868557832202523422384383651e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7379313711099627187285802261381
y1[1] (numeric) = 1.7379313711099627187285802261385
absolute error = 4e-31
relative error = 2.3015868557832202523422384383651e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2841.9MB, alloc=4.6MB, time=161.49
x[1] = 0.831
y2[1] (analytic) = 1.7386058777918998902675246848866
y2[1] (numeric) = 1.738605877791899890267524684887
absolute error = 4e-31
relative error = 2.3006939359253533252617397158868e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7386058777918998902675246848866
y1[1] (numeric) = 1.738605877791899890267524684887
absolute error = 4e-31
relative error = 2.3006939359253533252617397158868e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2845.8MB, alloc=4.6MB, time=161.71
x[1] = 0.832
y2[1] (analytic) = 1.7392796458680208203943431848106
y2[1] (numeric) = 1.7392796458680208203943431848111
absolute error = 5e-31
relative error = 2.8747533565855387406579054560323e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7392796458680208203943431848106
y1[1] (numeric) = 1.7392796458680208203943431848111
absolute error = 5e-31
relative error = 2.8747533565855387406579054560323e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2849.6MB, alloc=4.6MB, time=161.93
x[1] = 0.833
y2[1] (analytic) = 1.739952674664557489135443404258
y2[1] (numeric) = 1.7399526746645574891354434042585
absolute error = 5e-31
relative error = 2.8736413770356952259274152801273e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.739952674664557489135443404258
y1[1] (numeric) = 1.7399526746645574891354434042585
absolute error = 5e-31
relative error = 2.8736413770356952259274152801273e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2853.4MB, alloc=4.6MB, time=162.14
x[1] = 0.834
y2[1] (analytic) = 1.7406249635084811560398877773265
y2[1] (numeric) = 1.740624963508481156039887777327
absolute error = 5e-31
relative error = 2.8725314785338809788367513598250e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7406249635084811560398877773265
y1[1] (numeric) = 1.740624963508481156039887777327
absolute error = 5e-31
relative error = 2.8725314785338809788367513598250e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2857.2MB, alloc=4.6MB, time=162.36
x[1] = 0.835
y2[1] (analytic) = 1.741296511727503033208077859075
y2[1] (numeric) = 1.7412965117275030332080778590755
absolute error = 5e-31
relative error = 2.8714236583633920684489310199426e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.741296511727503033208077859075
y1[1] (numeric) = 1.7412965117275030332080778590755
absolute error = 5e-31
relative error = 2.8714236583633920684489310199426e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2861.0MB, alloc=4.6MB, time=162.57
x[1] = 0.836
y2[1] (analytic) = 1.7419673186500749575804862010582
y2[1] (numeric) = 1.7419673186500749575804862010587
absolute error = 5e-31
relative error = 2.8703179138140858070534699442428e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7419673186500749575804862010582
y1[1] (numeric) = 1.7419673186500749575804862010587
absolute error = 5e-31
relative error = 2.8703179138140858070534699442428e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2864.8MB, alloc=4.6MB, time=162.79
x[1] = 0.837
y2[1] (analytic) = 1.7426373836053900624857634485088
y2[1] (numeric) = 1.7426373836053900624857634485093
absolute error = 5e-31
relative error = 2.8692142421823658368289320268429e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7426373836053900624857634485088
y1[1] (numeric) = 1.7426373836053900624857634485093
absolute error = 5e-31
relative error = 2.8692142421823658368289320268429e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2868.6MB, alloc=4.6MB, time=163.00
x[1] = 0.838
y2[1] (analytic) = 1.743306705923383448447549111117
y2[1] (numeric) = 1.7433067059233834484475491111174
absolute error = 4e-31
relative error = 2.2944901126169338099247259793196e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.743306705923383448447549111117
y1[1] (numeric) = 1.7433067059233834484475491111174
absolute error = 4e-31
relative error = 2.2944901126169338099247259793196e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2872.5MB, alloc=4.6MB, time=163.23
x[1] = 0.839
y2[1] (analytic) = 1.7439752849347328532493152006504
y2[1] (numeric) = 1.7439752849347328532493152006509
absolute error = 5e-31
relative error = 2.8670131068899418291833892578215e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7439752849347328532493152006504
y1[1] (numeric) = 1.7439752849347328532493152006509
absolute error = 5e-31
relative error = 2.8670131068899418291833892578215e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2876.3MB, alloc=4.6MB, time=163.44
x[1] = 0.84
y2[1] (analytic) = 1.7446431199708593212565726706296
y2[1] (numeric) = 1.7446431199708593212565726706301
absolute error = 5e-31
relative error = 2.8659156378546431472520791390334e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7446431199708593212565726706296
y1[1] (numeric) = 1.7446431199708593212565726706301
absolute error = 5e-31
relative error = 2.8659156378546431472520791390334e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2880.1MB, alloc=4.6MB, time=163.66
x[1] = 0.841
y2[1] (analytic) = 1.7453102103639278719957713359055
y2[1] (numeric) = 1.745310210363927871995771335906
absolute error = 5e-31
relative error = 2.8648202309877119607787133098894e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7453102103639278719957713359055
y1[1] (numeric) = 1.745310210363927871995771335906
absolute error = 5e-31
relative error = 2.8648202309877119607787133098894e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2883.9MB, alloc=4.6MB, time=163.88
x[1] = 0.842
y2[1] (analytic) = 1.7459765554468481679892246932965
y2[1] (numeric) = 1.745976555446848167989224693297
absolute error = 5e-31
relative error = 2.8637268836180614627060542397515e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7459765554468481679892246932965
y1[1] (numeric) = 1.745976555446848167989224693297
absolute error = 5e-31
relative error = 2.8637268836180614627060542397515e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2887.7MB, alloc=4.6MB, time=164.09
x[1] = 0.843
y2[1] (analytic) = 1.7466421545532751818453918084153
y2[1] (numeric) = 1.7466421545532751818453918084158
absolute error = 5e-31
relative error = 2.8626355930810626546237495830081e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7466421545532751818453918084153
y1[1] (numeric) = 1.7466421545532751818453918084158
absolute error = 5e-31
relative error = 2.8626355930810626546237495830081e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2891.5MB, alloc=4.6MB, time=164.31
x[1] = 0.844
y2[1] (analytic) = 1.7473070070176098626038491784596
y2[1] (numeric) = 1.7473070070176098626038491784601
absolute error = 5e-31
relative error = 2.8615463567185297516658110108533e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7473070070176098626038491784596
y1[1] (numeric) = 1.7473070070176098626038491784601
absolute error = 5e-31
relative error = 2.8615463567185297516658110108533e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2895.4MB, alloc=4.6MB, time=164.52
x[1] = 0.845
y2[1] (analytic) = 1.7479711121749998013342862260498
y2[1] (numeric) = 1.7479711121749998013342862260503
absolute error = 5e-31
relative error = 2.8604591718787056322910155833712e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7479711121749998013342862260498
y1[1] (numeric) = 1.7479711121749998013342862260503
absolute error = 5e-31
relative error = 2.8604591718787056322910155833712e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2899.2MB, alloc=4.6MB, time=164.74
x[1] = 0.846
y2[1] (analytic) = 1.7486344693613398959888588251738
y2[1] (numeric) = 1.7486344693613398959888588251743
absolute error = 5e-31
relative error = 2.8593740359162473328030797899605e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7486344693613398959888588251738
y1[1] (numeric) = 1.7486344693613398959888588251743
absolute error = 5e-31
relative error = 2.8593740359162473328030797899605e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2903.0MB, alloc=4.6MB, time=164.95
x[1] = 0.847
y2[1] (analytic) = 1.7492970779132730155072360069414
y2[1] (numeric) = 1.7492970779132730155072360069419
absolute error = 5e-31
relative error = 2.8582909461922115864680016661831e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7492970779132730155072360069414
y1[1] (numeric) = 1.7492970779132730155072360069419
absolute error = 5e-31
relative error = 2.8582909461922115864680016661831e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2906.8MB, alloc=4.6MB, time=165.16
x[1] = 0.848
y2[1] (analytic) = 1.7499589371681906631736757401562
y2[1] (numeric) = 1.7499589371681906631736757401567
absolute error = 5e-31
relative error = 2.8572099000740404070865094537166e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7499589371681906631736757401562
y1[1] (numeric) = 1.7499589371681906631736757401567
absolute error = 5e-31
relative error = 2.8572099000740404070865094537166e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2910.6MB, alloc=4.6MB, time=165.38
x[1] = 0.849
y2[1] (analytic) = 1.7506200464642336392254664296844
y2[1] (numeric) = 1.7506200464642336392254664296849
absolute error = 5e-31
relative error = 2.8561308949355467168800961174278e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7506200464642336392254664296844
y1[1] (numeric) = 1.7506200464642336392254664296849
absolute error = 5e-31
relative error = 2.8561308949355467168800961174278e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2914.4MB, alloc=4.6MB, time=165.60
x[1] = 0.85
y2[1] (analytic) = 1.7512804051402927027120715242355
y2[1] (numeric) = 1.7512804051402927027120715242359
absolute error = 4e-31
relative error = 2.2840431425255200148397261438240e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7512804051402927027120715242355
y1[1] (numeric) = 1.7512804051402927027120715242359
absolute error = 4e-31
relative error = 2.2840431425255200148397261438240e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2918.2MB, alloc=4.6MB, time=165.82
x[1] = 0.851
y2[1] (analytic) = 1.7519400125360092326043153744632
y2[1] (numeric) = 1.7519400125360092326043153744636
absolute error = 4e-31
relative error = 2.2831831976996896890930318303758e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7519400125360092326043153744632
y1[1] (numeric) = 1.7519400125360092326043153744636
absolute error = 4e-31
relative error = 2.2831831976996896890930318303758e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2922.1MB, alloc=4.6MB, time=166.03
x[1] = 0.852
y2[1] (analytic) = 1.7525988679917758881529492322585
y2[1] (numeric) = 1.7525988679917758881529492322589
absolute error = 4e-31
relative error = 2.2823248793852182809234649626741e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7525988679917758881529492322585
y1[1] (numeric) = 1.7525988679917758881529492322589
absolute error = 4e-31
relative error = 2.2823248793852182809234649626741e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2925.9MB, alloc=4.6MB, time=166.25
x[1] = 0.853
y2[1] (analytic) = 1.7532569708487372684959370327215
y2[1] (numeric) = 1.7532569708487372684959370327219
absolute error = 4e-31
relative error = 2.2814681855014287632218200046513e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7532569708487372684959370327215
y1[1] (numeric) = 1.7532569708487372684959370327219
absolute error = 4e-31
relative error = 2.2814681855014287632218200046513e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2929.7MB, alloc=4.6MB, time=166.47
x[1] = 0.854
y2[1] (analytic) = 1.7539143204487905715138013515826
y2[1] (numeric) = 1.753914320448790571513801351583
absolute error = 4e-31
relative error = 2.2806131139726838749901585984796e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7539143204487905715138013515826
y1[1] (numeric) = 1.753914320448790571513801351583
absolute error = 4e-31
relative error = 2.2806131139726838749901585984796e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2933.5MB, alloc=4.6MB, time=166.68
x[1] = 0.855
y2[1] (analytic) = 1.7545709161345862519323706827818
y2[1] (numeric) = 1.7545709161345862519323706827821
absolute error = 3e-31
relative error = 1.7098197470462811255017331512859e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7545709161345862519323706827818
y1[1] (numeric) = 1.7545709161345862519323706827821
absolute error = 3e-31
relative error = 1.7098197470462811255017331512859e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2937.3MB, alloc=4.6MB, time=166.90
x[1] = 0.856
y2[1] (analytic) = 1.7552267572495286786722699335127
y2[1] (numeric) = 1.755226757249528678672269933513
absolute error = 3e-31
relative error = 1.7091808722771825631010232338304e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7552267572495286786722699335127
y1[1] (numeric) = 1.755226757249528678672269933513
absolute error = 3e-31
relative error = 1.7091808722771825631010232338304e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2941.1MB, alloc=4.6MB, time=167.11
x[1] = 0.857
y2[1] (analytic) = 1.7558818431377767914444967872976
y2[1] (numeric) = 1.7558818431377767914444967872979
absolute error = 3e-31
relative error = 1.7085432096267780579432418243129e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7558818431377767914444967872976
y1[1] (numeric) = 1.7558818431377767914444967872979
absolute error = 3e-31
relative error = 1.7085432096267780579432418243129e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2944.9MB, alloc=4.6MB, time=167.33
x[1] = 0.858
y2[1] (analytic) = 1.7565361731442447565914273395692
y2[1] (numeric) = 1.7565361731442447565914273395696
absolute error = 4e-31
relative error = 2.2772090100711660895778657205621e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7565361731442447565914273395692
y1[1] (numeric) = 1.7565361731442447565914273395696
absolute error = 4e-31
relative error = 2.2772090100711660895778657205621e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2948.8MB, alloc=4.6MB, time=167.55
x[1] = 0.859
y2[1] (analytic) = 1.757189746614602622172595164811
y2[1] (numeric) = 1.7571897466146026221725951648114
absolute error = 4e-31
relative error = 2.2763620193586890723228963457467e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.757189746614602622172595164811
y1[1] (numeric) = 1.7571897466146026221725951648114
absolute error = 4e-31
relative error = 2.2763620193586890723228963457467e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2952.6MB, alloc=4.6MB, time=167.77
x[1] = 0.86
y2[1] (analytic) = 1.7578425628952769722945887295286
y2[1] (numeric) = 1.757842562895276972294588729529
absolute error = 4e-31
relative error = 2.2755166386526385366592950065839e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7578425628952769722945887295286
y1[1] (numeric) = 1.757842562895276972294588729529
absolute error = 4e-31
relative error = 2.2755166386526385366592950065839e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2956.4MB, alloc=4.6MB, time=167.99
x[1] = 0.861
y2[1] (analytic) = 1.7584946213334515806844128212126
y2[1] (numeric) = 1.7584946213334515806844128212129
absolute error = 3e-31
relative error = 1.7060046494342561045520478397252e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7584946213334515806844128212126
y1[1] (numeric) = 1.7584946213334515806844128212129
absolute error = 3e-31
relative error = 1.7060046494342561045520478397252e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2960.2MB, alloc=4.6MB, time=168.20
x[1] = 0.862
y2[1] (analytic) = 1.7591459212770680635056604199826
y2[1] (numeric) = 1.759145921277068063505660419983
absolute error = 4e-31
relative error = 2.2738306991020753027457726005839e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7591459212770680635056604199826
y1[1] (numeric) = 1.759145921277068063505660419983
absolute error = 4e-31
relative error = 2.2738306991020753027457726005839e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2964.0MB, alloc=4.6MB, time=168.41
x[1] = 0.863
y2[1] (analytic) = 1.7597964620748265314168421967984
y2[1] (numeric) = 1.7597964620748265314168421967987
absolute error = 3e-31
relative error = 1.7047426021432926509219766773008e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7597964620748265314168421967984
y1[1] (numeric) = 1.7597964620748265314168421967987
absolute error = 3e-31
relative error = 1.7047426021432926509219766773008e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2967.8MB, alloc=4.6MB, time=168.63
x[1] = 0.864
y2[1] (analytic) = 1.7604462430761862408712215799592
y2[1] (numeric) = 1.7604462430761862408712215799595
absolute error = 3e-31
relative error = 1.7041133813650735868879630558246e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7604462430761862408712215799592
y1[1] (numeric) = 1.7604462430761862408712215799595
absolute error = 3e-31
relative error = 1.7041133813650735868879630558246e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2971.6MB, alloc=4.6MB, time=168.84
x[1] = 0.865
y2[1] (analytic) = 1.7610952636313662446575040901144
y2[1] (numeric) = 1.7610952636313662446575040901147
absolute error = 3e-31
relative error = 1.7034853604761963664012815283892e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7610952636313662446575040901144
y1[1] (numeric) = 1.7610952636313662446575040901147
absolute error = 3e-31
relative error = 1.7034853604761963664012815283892e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2975.5MB, alloc=4.6MB, time=169.06
x[1] = 0.866
y2[1] (analytic) = 1.7617435230913460416807304031469
y2[1] (numeric) = 1.7617435230913460416807304031472
absolute error = 3e-31
relative error = 1.7028585379646380076486845928664e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7617435230913460416807304031469
y1[1] (numeric) = 1.7617435230913460416807304031472
absolute error = 3e-31
relative error = 1.7028585379646380076486845928664e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2979.3MB, alloc=4.6MB, time=169.28
x[1] = 0.867
y2[1] (analytic) = 1.7623910208078662259827233600927
y2[1] (numeric) = 1.7623910208078662259827233600931
absolute error = 4e-31
relative error = 2.2696438830960630756268890587751e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7623910208078662259827233600927
y1[1] (numeric) = 1.7623910208078662259827233600931
absolute error = 4e-31
relative error = 2.2696438830960630756268890587751e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2983.1MB, alloc=4.6MB, time=169.50
x[1] = 0.868
y2[1] (analytic) = 1.763037756133429135001439903703
y2[1] (numeric) = 1.7630377561334291350014399037033
absolute error = 3e-31
relative error = 1.7016084820437367038041986362822e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.763037756133429135001439903703
y1[1] (numeric) = 1.7630377561334291350014399037033
absolute error = 3e-31
relative error = 1.7016084820437367038041986362822e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2986.9MB, alloc=4.6MB, time=169.71
x[1] = 0.869
y2[1] (analytic) = 1.7636837284212994970685796823498
y2[1] (numeric) = 1.7636837284212994970685796823501
absolute error = 3e-31
relative error = 1.7009852456286741743390202065453e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7636837284212994970685796823498
y1[1] (numeric) = 1.7636837284212994970685796823501
absolute error = 3e-31
relative error = 1.7009852456286741743390202065453e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2990.7MB, alloc=4.6MB, time=169.93
x[1] = 0.87
y2[1] (analytic) = 1.7643289370255050781448028237228
y2[1] (numeric) = 1.7643289370255050781448028237232
absolute error = 4e-31
relative error = 2.2671509354393001933888010742550e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7643289370255050781448028237228
y1[1] (numeric) = 1.7643289370255050781448028237232
absolute error = 4e-31
relative error = 2.2671509354393001933888010742550e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2994.5MB, alloc=4.6MB, time=170.15
x[1] = 0.871
y2[1] (analytic) = 1.7649733813008373277919101431513
y2[1] (numeric) = 1.7649733813008373277919101431517
absolute error = 4e-31
relative error = 2.2663231312031925796482235871263e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7649733813008373277919101431513
y1[1] (numeric) = 1.7649733813008373277919101431517
absolute error = 4e-31
relative error = 2.2663231312031925796482235871263e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2998.4MB, alloc=4.6MB, time=170.36
x[1] = 0.872
y2[1] (analytic) = 1.7656170606028520243813398144258
y2[1] (numeric) = 1.7656170606028520243813398144261
absolute error = 3e-31
relative error = 1.6991226846073182199045026426533e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7656170606028520243813398144258
y1[1] (numeric) = 1.7656170606028520243813398144261
absolute error = 3e-31
relative error = 1.6991226846073182199045026426533e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3002.2MB, alloc=4.6MB, time=170.58
x[1] = 0.873
y2[1] (analytic) = 1.7662599742878699195383352946765
y2[1] (numeric) = 1.7662599742878699195383352946768
absolute error = 3e-31
relative error = 1.6985042087077560248804995083594e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7662599742878699195383352946765
y1[1] (numeric) = 1.7662599742878699195383352946768
absolute error = 3e-31
relative error = 1.6985042087077560248804995083594e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3006.0MB, alloc=4.6MB, time=170.80
x[1] = 0.874
y2[1] (analytic) = 1.7669021217129773818211400591947
y2[1] (numeric) = 1.766902121712977381821140059195
absolute error = 3e-31
relative error = 1.6978869192208327366117690847781e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7669021217129773818211400591947
y1[1] (numeric) = 1.766902121712977381821140059195
absolute error = 3e-31
relative error = 1.6978869192208327366117690847781e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3009.8MB, alloc=4.6MB, time=171.01
x[1] = 0.875
y2[1] (analytic) = 1.7675435022360270396345754670545
y2[1] (numeric) = 1.7675435022360270396345754670549
absolute error = 4e-31
relative error = 2.2630277528897075252151597375509e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7675435022360270396345754670545
y1[1] (numeric) = 1.7675435022360270396345754670549
absolute error = 4e-31
relative error = 2.2630277528897075252151597375509e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3013.6MB, alloc=4.6MB, time=171.23
x[1] = 0.876
y2[1] (analytic) = 1.768184115215638423377358844013
y2[1] (numeric) = 1.7681841152156384233773588440134
absolute error = 4e-31
relative error = 2.2622078580952420014973780537248e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.768184115215638423377358844013
y1[1] (numeric) = 1.7681841152156384233773588440134
absolute error = 4e-31
relative error = 2.2622078580952420014973780537248e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3017.4MB, alloc=4.6MB, time=171.44
x[1] = 0.877
y2[1] (analytic) = 1.7688239600111986068225196354215
y2[1] (numeric) = 1.7688239600111986068225196354219
absolute error = 4e-31
relative error = 2.2613895392816114881647274896158e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7688239600111986068225196354215
y1[1] (numeric) = 1.7688239600111986068225196354219
absolute error = 4e-31
relative error = 2.2613895392816114881647274896158e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3021.2MB, alloc=4.6MB, time=171.66
x[1] = 0.878
y2[1] (analytic) = 1.769463035982862847730272248788
y2[1] (numeric) = 1.7694630359828628477302722487883
absolute error = 3e-31
relative error = 1.6954295958681189625862266041977e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.769463035982862847730272248788
y1[1] (numeric) = 1.7694630359828628477302722487883
absolute error = 3e-31
relative error = 1.6954295958681189625862266041977e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3025.1MB, alloc=4.6MB, time=171.88
x[1] = 0.879
y2[1] (analytic) = 1.7701013424915552276927049731688
y2[1] (numeric) = 1.7701013424915552276927049731691
absolute error = 3e-31
relative error = 1.6948182163272453164297509555420e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7701013424915552276927049731688
y1[1] (numeric) = 1.7701013424915552276927049731691
absolute error = 3e-31
relative error = 1.6948182163272453164297509555420e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3028.9MB, alloc=4.6MB, time=172.09
x[1] = 0.88
y2[1] (analytic) = 1.770738878898969291209645130756
y2[1] (numeric) = 1.7707388788989692912096451307563
absolute error = 3e-31
relative error = 1.6942080143772384163768237507404e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.770738878898969291209645130756
y1[1] (numeric) = 1.7707388788989692912096451307563
absolute error = 3e-31
relative error = 1.6942080143772384163768237507404e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3032.7MB, alloc=4.6MB, time=172.31
x[1] = 0.881
y2[1] (analytic) = 1.771375644567568683995061384847
y2[1] (numeric) = 1.7713756445675686839950613848473
absolute error = 3e-31
relative error = 1.6935989885603091485475219255943e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.771375644567568683995061384847
y1[1] (numeric) = 1.7713756445675686839950613848473
absolute error = 3e-31
relative error = 1.6935989885603091485475219255943e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3036.5MB, alloc=4.6MB, time=172.53
x[1] = 0.882
y2[1] (analytic) = 1.772011638860587790513364897848
y2[1] (numeric) = 1.7720116388605877905133648978484
absolute error = 4e-31
relative error = 2.2573215165629610066831871234256e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.772011638860587790513364897848
y1[1] (numeric) = 1.7720116388605877905133648978484
absolute error = 4e-31
relative error = 2.2573215165629610066831871234256e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=3040.3MB, alloc=4.6MB, time=172.75
TOP MAIN SOLVE Loop
x[1] = 0.883
y2[1] (analytic) = 1.7726468611420323707449718030637
y2[1] (numeric) = 1.7726468611420323707449718030641
absolute error = 4e-31
relative error = 2.2565126126830414216408878397409e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7726468611420323707449718030637
y1[1] (numeric) = 1.7726468611420323707449718030641
absolute error = 4e-31
relative error = 2.2565126126830414216408878397409e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=3044.1MB, alloc=4.6MB, time=172.97
TOP MAIN SOLVE Loop
x[1] = 0.884
y2[1] (analytic) = 1.7732813107766801961804902247626
y2[1] (numeric) = 1.773281310776680196180490224763
absolute error = 4e-31
relative error = 2.2557052711777796763990458900717e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7732813107766801961804902247626
y1[1] (numeric) = 1.773281310776680196180490224763
absolute error = 4e-31
relative error = 2.2557052711777796763990458900717e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=3047.9MB, alloc=4.6MB, time=173.18
TOP MAIN SOLVE Loop
x[1] = 0.885
y2[1] (analytic) = 1.7739149871300816850428958523849
y2[1] (numeric) = 1.7739149871300816850428958523853
absolute error = 4e-31
relative error = 2.2548994901223408372514748994986e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7739149871300816850428958523849
y1[1] (numeric) = 1.7739149871300816850428958523853
absolute error = 4e-31
relative error = 2.2548994901223408372514748994986e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=3051.8MB, alloc=4.6MB, time=173.40
TOP MAIN SOLVE Loop
x[1] = 0.886
y2[1] (analytic) = 1.7745478895685605367370608467703
y2[1] (numeric) = 1.7745478895685605367370608467707
absolute error = 4e-31
relative error = 2.2540952675965852081880990677661e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7745478895685605367370608467703
y1[1] (numeric) = 1.7745478895685605367370608467707
absolute error = 4e-31
relative error = 2.2540952675965852081880990677661e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=3055.6MB, alloc=4.6MB, time=173.62
TOP MAIN SOLVE Loop
x[1] = 0.887
y2[1] (analytic) = 1.7751800174592143655260016289292
y2[1] (numeric) = 1.7751800174592143655260016289296
absolute error = 4e-31
relative error = 2.2532926016850581005457332924841e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7751800174592143655260016289292
y1[1] (numeric) = 1.7751800174592143655260016289296
absolute error = 4e-31
relative error = 2.2532926016850581005457332924841e-29 %
Correct digits = 30
h = 0.001
memory used=3059.4MB, alloc=4.6MB, time=173.84
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3063.2MB, alloc=4.6MB, time=174.05
x[1] = 0.888
y2[1] (analytic) = 1.7758113701699153334332118751625
y2[1] (numeric) = 1.7758113701699153334332118751629
absolute error = 4e-31
relative error = 2.2524914904769796340137925878215e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7758113701699153334332118751625
y1[1] (numeric) = 1.7758113701699153334332118751629
absolute error = 4e-31
relative error = 2.2524914904769796340137925878215e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3067.0MB, alloc=4.6MB, time=174.27
x[1] = 0.889
y2[1] (analytic) = 1.7764419470693107823704478162497
y2[1] (numeric) = 1.7764419470693107823704478162501
absolute error = 4e-31
relative error = 2.2516919320662345688976595907489e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7764419470693107823704478162497
y1[1] (numeric) = 1.7764419470693107823704478162501
absolute error = 4e-31
relative error = 2.2516919320662345688976595907489e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3070.8MB, alloc=4.6MB, time=174.49
x[1] = 0.89
y2[1] (analytic) = 1.7770717475268238654903337129732
y2[1] (numeric) = 1.7770717475268238654903337129736
absolute error = 4e-31
relative error = 2.2508939245513621695428056430029e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7770717475268238654903337129732
y1[1] (numeric) = 1.7770717475268238654903337129736
absolute error = 4e-31
relative error = 2.2508939245513621695428056430029e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3074.6MB, alloc=4.6MB, time=174.70
x[1] = 0.891
y2[1] (analytic) = 1.7777007709126541777631561554249
y2[1] (numeric) = 1.7777007709126541777631561554253
absolute error = 4e-31
relative error = 2.2500974660355460988231261726472e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7777007709126541777631561554249
y1[1] (numeric) = 1.7777007709126541777631561554253
absolute error = 4e-31
relative error = 2.2500974660355460988231261726472e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3078.5MB, alloc=4.6MB, time=174.92
x[1] = 0.892
y2[1] (analytic) = 1.7783290165977783857772166093547
y2[1] (numeric) = 1.7783290165977783857772166093551
absolute error = 4e-31
relative error = 2.2493025546266043435973148809774e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7783290165977783857772166093547
y1[1] (numeric) = 1.7783290165977783857772166093551
absolute error = 4e-31
relative error = 2.2493025546266043435973148809774e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3082.3MB, alloc=4.6MB, time=175.14
x[1] = 0.893
y2[1] (analytic) = 1.7789564839539508567621124092591
y2[1] (numeric) = 1.7789564839539508567621124092596
absolute error = 5e-31
relative error = 2.8106364855462239637968294689405e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7789564839539508567621124092591
y1[1] (numeric) = 1.7789564839539508567621124092596
absolute error = 5e-31
relative error = 2.8106364855462239637968294689405e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3086.1MB, alloc=4.6MB, time=175.36
x[1] = 0.894
y2[1] (analytic) = 1.7795831723537042868343171749836
y2[1] (numeric) = 1.779583172353704286834317174984
absolute error = 4e-31
relative error = 2.2477173655837271157344353808572e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7795831723537042868343171749836
y1[1] (numeric) = 1.779583172353704286834317174984
absolute error = 4e-31
relative error = 2.2477173655837271157344353808572e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3089.9MB, alloc=4.6MB, time=175.57
x[1] = 0.895
y2[1] (analytic) = 1.780209081170350328464432406308
y2[1] (numeric) = 1.7802090811703503284644324063084
absolute error = 4e-31
relative error = 2.2469270841885089974849185290383e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.780209081170350328464432406308
y1[1] (numeric) = 1.7802090811703503284644324063084
absolute error = 4e-31
relative error = 2.2469270841885089974849185290383e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3093.7MB, alloc=4.6MB, time=175.79
x[1] = 0.896
y2[1] (analytic) = 1.7808342097779802171654827883184
y2[1] (numeric) = 1.7808342097779802171654827883188
absolute error = 4e-31
relative error = 2.2461383423775799696654259427579e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7808342097779802171654827883184
y1[1] (numeric) = 1.7808342097779802171654827883188
absolute error = 4e-31
relative error = 2.2461383423775799696654259427579e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3097.5MB, alloc=4.6MB, time=176.01
x[1] = 0.897
y2[1] (analytic) = 1.7814585575514653974016285193201
y2[1] (numeric) = 1.7814585575514653974016285193205
absolute error = 4e-31
relative error = 2.2453511382817795980988624609616e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7814585575514653974016285193201
y1[1] (numeric) = 1.7814585575514653974016285193205
absolute error = 4e-31
relative error = 2.2453511382817795980988624609616e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3101.3MB, alloc=4.6MB, time=176.23
x[1] = 0.898
y2[1] (analytic) = 1.7820821238664581477166687526331
y2[1] (numeric) = 1.7820821238664581477166687526335
absolute error = 4e-31
relative error = 2.2445654700365219703196367318352e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7820821238664581477166687526331
y1[1] (numeric) = 1.7820821238664581477166687526335
absolute error = 4e-31
relative error = 2.2445654700365219703196367318352e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3105.2MB, alloc=4.6MB, time=176.44
x[1] = 0.899
y2[1] (analytic) = 1.7827049080993922050817110238177
y2[1] (numeric) = 1.7827049080993922050817110238181
absolute error = 4e-31
relative error = 2.2437813357817858351436485958435e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7827049080993922050817110238177
y1[1] (numeric) = 1.7827049080993922050817110238181
absolute error = 4e-31
relative error = 2.2437813357817858351436485958435e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3109.0MB, alloc=4.6MB, time=176.66
x[1] = 0.9
y2[1] (analytic) = 1.7833269096274833884613823157136
y2[1] (numeric) = 1.783326909627483388461382315714
absolute error = 4e-31
relative error = 2.2429987336621047724498351638412e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7833269096274833884613823157136
y1[1] (numeric) = 1.783326909627483388461382315714
absolute error = 4e-31
relative error = 2.2429987336621047724498351638412e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3112.8MB, alloc=4.6MB, time=176.88
x[1] = 0.901
y2[1] (analytic) = 1.7839481278287302215979581951327
y2[1] (numeric) = 1.7839481278287302215979581951332
absolute error = 5e-31
relative error = 2.8027720772831967413503872314409e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7839481278287302215979581951327
y1[1] (numeric) = 1.7839481278287302215979581951332
absolute error = 5e-31
relative error = 2.8027720772831967413503872314409e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3116.6MB, alloc=4.6MB, time=177.09
x[1] = 0.902
y2[1] (analytic) = 1.7845685620819145550127872371293
y2[1] (numeric) = 1.7845685620819145550127872371298
absolute error = 5e-31
relative error = 2.8017976480359469609580971256490e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7845685620819145550127872371293
y1[1] (numeric) = 1.7845685620819145550127872371298
absolute error = 5e-31
relative error = 2.8017976480359469609580971256490e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3120.4MB, alloc=4.6MB, time=177.31
x[1] = 0.903
y2[1] (analytic) = 1.7851882117666021872243887354735
y2[1] (numeric) = 1.7851882117666021872243887354741
absolute error = 6e-31
relative error = 3.3609901524402670379832905873772e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7851882117666021872243887354735
y1[1] (numeric) = 1.7851882117666021872243887354741
absolute error = 6e-31
relative error = 3.3609901524402670379832905873772e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3124.2MB, alloc=4.6MB, time=177.53
x[1] = 0.904
y2[1] (analytic) = 1.7858070762631434851826024812843
y2[1] (numeric) = 1.7858070762631434851826024812848
absolute error = 5e-31
relative error = 2.7998545119793424570983843479340e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7858070762631434851826024812843
y1[1] (numeric) = 1.7858070762631434851826024812848
absolute error = 5e-31
relative error = 2.7998545119793424570983843479340e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3128.1MB, alloc=4.6MB, time=177.74
x[1] = 0.905
y2[1] (analytic) = 1.7864251549526740039181701757212
y2[1] (numeric) = 1.7864251549526740039181701757217
absolute error = 5e-31
relative error = 2.7988858005822584033372756062122e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7864251549526740039181701757212
y1[1] (numeric) = 1.7864251549526740039181701757217
absolute error = 5e-31
relative error = 2.7988858005822584033372756062122e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3131.9MB, alloc=4.6MB, time=177.96
x[1] = 0.906
y2[1] (analytic) = 1.787042447217115105407128827208
y2[1] (numeric) = 1.7870424472171151054071288272085
absolute error = 5e-31
relative error = 2.7979189905568759685116961233413e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.787042447217115105407128827208
y1[1] (numeric) = 1.7870424472171151054071288272085
absolute error = 5e-31
relative error = 2.7979189905568759685116961233413e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3135.7MB, alloc=4.6MB, time=178.18
x[1] = 0.907
y2[1] (analytic) = 1.7876589524391745766493972688437
y2[1] (numeric) = 1.7876589524391745766493972688442
absolute error = 5e-31
relative error = 2.7969540796233759895459071153489e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7876589524391745766493972688437
y1[1] (numeric) = 1.7876589524391745766493972688442
absolute error = 5e-31
relative error = 2.7969540796233759895459071153489e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3139.5MB, alloc=4.6MB, time=178.40
x[1] = 0.908
y2[1] (analytic) = 1.7882746700023472469609377174681
y2[1] (numeric) = 1.7882746700023472469609377174686
absolute error = 5e-31
relative error = 2.7959910655075358856750335930623e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7882746700023472469609377174681
y1[1] (numeric) = 1.7882746700023472469609377174686
absolute error = 5e-31
relative error = 2.7959910655075358856750335930623e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3143.3MB, alloc=4.6MB, time=178.61
x[1] = 0.909
y2[1] (analytic) = 1.78888959929091560447887508227
y2[1] (numeric) = 1.7888895992909156044788750822705
absolute error = 5e-31
relative error = 2.7950299459407177053747845985648e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.78888959929091560447887508227
y1[1] (numeric) = 1.7888895992909156044788750822705
absolute error = 5e-31
relative error = 2.7950299459407177053747845985648e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3147.1MB, alloc=4.6MB, time=178.83
x[1] = 0.91
y2[1] (analytic) = 1.7895037396899504118789575178716
y2[1] (numeric) = 1.7895037396899504118789575178721
absolute error = 5e-31
relative error = 2.7940707186598562099130083880415e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7895037396899504118789575178716
y1[1] (numeric) = 1.7895037396899504118789575178721
absolute error = 5e-31
relative error = 2.7940707186598562099130083880415e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3150.9MB, alloc=4.6MB, time=179.05
x[1] = 0.911
y2[1] (analytic) = 1.7901170905853113213047425044789
y2[1] (numeric) = 1.7901170905853113213047425044794
absolute error = 5e-31
relative error = 2.7931133814074469934111684246897e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7901170905853113213047425044789
y1[1] (numeric) = 1.7901170905853113213047425044794
absolute error = 5e-31
relative error = 2.7931133814074469934111684246897e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3154.8MB, alloc=4.6MB, time=179.27
x[1] = 0.912
y2[1] (analytic) = 1.7907296513636474885078935259636
y2[1] (numeric) = 1.7907296513636474885078935259641
absolute error = 5e-31
relative error = 2.7921579319315346393042461010415e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7907296513636474885078935259636
y1[1] (numeric) = 1.7907296513636474885078935259641
absolute error = 5e-31
relative error = 2.7921579319315346393042461010415e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3158.6MB, alloc=4.6MB, time=179.48
x[1] = 0.913
y2[1] (analytic) = 1.7913414214123981861989732056309
y2[1] (numeric) = 1.7913414214123981861989732056314
absolute error = 5e-31
relative error = 2.7912043679857009130879945129315e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7913414214123981861989732056309
y1[1] (numeric) = 1.7913414214123981861989732056314
absolute error = 5e-31
relative error = 2.7912043679857009130879945129315e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3162.4MB, alloc=4.6MB, time=179.70
x[1] = 0.914
y2[1] (analytic) = 1.7919524001197934166081195489314
y2[1] (numeric) = 1.7919524001197934166081195489319
absolute error = 5e-31
relative error = 2.7902526873290529912428843648474e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7919524001197934166081195489314
y1[1] (numeric) = 1.7919524001197934166081195489319
absolute error = 5e-31
relative error = 2.7902526873290529912428843648474e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3166.2MB, alloc=4.6MB, time=179.92
x[1] = 0.915
y2[1] (analytic) = 1.7925625868748545232549927324916
y2[1] (numeric) = 1.7925625868748545232549927324921
absolute error = 5e-31
relative error = 2.7893028877262117262244982059270e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7925625868748545232549927324916
y1[1] (numeric) = 1.7925625868748545232549927324921
absolute error = 5e-31
relative error = 2.7893028877262117262244982059270e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3170.0MB, alloc=4.6MB, time=180.13
x[1] = 0.916
y2[1] (analytic) = 1.7931719810673948019273806695674
y2[1] (numeric) = 1.7931719810673948019273806695678
absolute error = 4e-31
relative error = 2.2306839735578399579284341478087e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7931719810673948019273806695674
y1[1] (numeric) = 1.7931719810673948019273806695678
absolute error = 4e-31
relative error = 2.2306839735578399579284341478087e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=3173.8MB, alloc=4.6MB, time=180.35
x[1] = 0.917
y2[1] (analytic) = 1.7937805820880201108678523733656
y2[1] (numeric) = 1.7937805820880201108678523733661
absolute error = 5e-31
relative error = 2.7874089227679307978950603767503e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 1.7937805820880201108678523733656
y1[1] (numeric) = 1.7937805820880201108678523733661
absolute error = 5e-31
relative error = 2.7874089227679307978950603767503e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
Finished!
Maximum Time Reached before Solution Completed!
diff ( y2 , x , 4 ) = y1 - 1.0;
diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;
Iterations = 818
Total Elapsed Time = 3 Minutes 0 Seconds
Elapsed Time(since restart) = 3 Minutes 0 Seconds
Expected Time Remaining = 15 Minutes 21 Seconds
Optimized Time Remaining = 15 Minutes 19 Seconds
Expected Total Time = 18 Minutes 20 Seconds
Time to Timeout Unknown
Percent Done = 16.38 %
> quit
memory used=3176.0MB, alloc=4.6MB, time=180.46