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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_1,
> array_const_0D0,
> array_const_1D0,
> #END CONST
> array_y1_init,
> array_y2_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y1,
> array_x,
> array_y2,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_set_initial,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_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_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 (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 (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_1,
array_const_0D0, array_const_1D0, array_y1_init, array_y2_init, array_norms,
array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_y1, array_x, array_y2, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y1_higher,
array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial,
array_y2_higher, array_y2_higher_work, array_y2_higher_work2,
array_y2_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
min_size := glob_large_float;
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 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 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_1,
> array_const_0D0,
> array_const_1D0,
> #END CONST
> array_y1_init,
> array_y2_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y1,
> array_x,
> array_y2,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_set_initial,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_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_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;
> 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;
> 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_1,
array_const_0D0, array_const_1D0, array_y1_init, array_y2_init, array_norms,
array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_y1, array_x, array_y2, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y1_higher,
array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial,
array_y2_higher, array_y2_higher_work, array_y2_higher_work2,
array_y2_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_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;
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;
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_1,
> array_const_0D0,
> array_const_1D0,
> #END CONST
> array_y1_init,
> array_y2_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y1,
> array_x,
> array_y2,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_set_initial,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_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_1,
array_const_0D0, array_const_1D0, array_y1_init, array_y2_init, array_norms,
array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_y1, array_x, array_y2, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y1_higher,
array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial,
array_y2_higher, array_y2_higher_work, array_y2_higher_work2,
array_y2_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_1,
> array_const_0D0,
> array_const_1D0,
> #END CONST
> array_y1_init,
> array_y2_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y1,
> array_x,
> array_y2,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_set_initial,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_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_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[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_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[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_1,
array_const_0D0, array_const_1D0, array_y1_init, array_y2_init, array_norms,
array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_y1, array_x, array_y2, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y1_higher,
array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial,
array_y2_higher, array_y2_higher_work, array_y2_higher_work2,
array_y2_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_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[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_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[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_1,
> array_const_0D0,
> array_const_1D0,
> #END CONST
> array_y1_init,
> array_y2_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y1,
> array_x,
> array_y2,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_set_initial,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_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_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 (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 (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_1,
array_const_0D0, array_const_1D0, array_y1_init, array_y2_init, array_norms,
array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_y1, array_x, array_y2, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y1_higher,
array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial,
array_y2_higher, array_y2_higher_work, array_y2_higher_work2,
array_y2_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_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_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_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_1,
> array_const_0D0,
> array_const_1D0,
> #END CONST
> array_y1_init,
> array_y2_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y1,
> array_x,
> array_y2,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_set_initial,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_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_1,
array_const_0D0, array_const_1D0, array_y1_init, array_y2_init, array_norms,
array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_y1, array_x, array_y2, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y1_higher,
array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial,
array_y2_higher, array_y2_higher_work, array_y2_higher_work2,
array_y2_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_1,
> array_const_0D0,
> array_const_1D0,
> #END CONST
> array_y1_init,
> array_y2_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y1,
> array_x,
> array_y2,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_set_initial,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_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 - 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[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_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[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 - 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 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_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 2
> 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 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_y2_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_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 3
> 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 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_y1[term] := array_y1[term]* ratio;
> array_y1_higher[1,term] := array_y1_higher[1,term]* ratio;
> array_x[term] := array_x[term]* ratio;
> 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;
> 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_1,
array_const_0D0, array_const_1D0, array_y1_init, array_y2_init, array_norms,
array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_y1, array_x, array_y2, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y1_higher,
array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial,
array_y2_higher, array_y2_higher_work, array_y2_higher_work2,
array_y2_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (
omniabs(array_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[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_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[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 - 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[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_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[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_y1[term] := array_y1[term]*ratio;
array_y1_higher[1, term] := array_y1_higher[1, term]*ratio;
array_x[term] := array_x[term]*ratio;
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;
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_1,
> array_const_0D0,
> array_const_1D0,
> #END CONST
> array_y1_init,
> array_y2_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y1,
> array_x,
> array_y2,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_set_initial,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_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_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
> ;
> 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
> #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_1,
array_const_0D0, array_const_1D0, array_y1_init, array_y2_init, array_norms,
array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_y1, array_x, array_y2, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y1_higher,
array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial,
array_y2_higher, array_y2_higher_work, array_y2_higher_work2,
array_y2_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_y1[iii]) then
array_norms[iii] := omniabs(array_y1[iii])
end if;
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
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_1,
> array_const_0D0,
> array_const_1D0,
> #END CONST
> array_y1_init,
> array_y2_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y1,
> array_x,
> array_y2,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_set_initial,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local kkk, order_d, adj2, adj3 , temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> # emit pre mult FULL FULL $eq_no = 1 i = 1
> array_tmp1[1] := (array_m1[1] * (array_y2[1]));
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp2[1] := array_const_0D0[1] + array_tmp1[1];
> #emit pre add FULL - CONST $eq_no = 1 i = 1
> array_tmp3[1] := array_tmp2[1] + array_const_1D0[1];
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if ( not array_y1_set_initial[1,2]) then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp3[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;
> #emit pre sub FULL - CONST $eq_no = 2 i = 1
> array_tmp5[1] := array_y1[1] - array_const_1D0[1];
> #emit pre assign xxx $eq_no = 2 i = 1 $min_hdrs = 5
> if ( not array_y2_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_y2[2] := temporary;
> array_y2_higher[1,2] := temporary;
> temporary := temporary / glob_h * (1.0);
> array_y2_higher[2,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> # emit pre mult FULL FULL $eq_no = 1 i = 2
> array_tmp1[2] := ats(2,array_m1,array_y2,1);
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2];
> #emit pre add FULL CONST $eq_no = 1 i = 2
> array_tmp3[2] := array_tmp2[2];
> #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if ( not array_y1_set_initial[1,3]) then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp3[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;
> #emit pre sub FULL CONST $eq_no = 2 i = 2
> array_tmp5[2] := array_y1[2];
> #emit pre assign xxx $eq_no = 2 i = 2 $min_hdrs = 5
> if ( not array_y2_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_y2[3] := temporary;
> array_y2_higher[1,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y2_higher[2,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> # emit pre mult FULL FULL $eq_no = 1 i = 3
> array_tmp1[3] := ats(3,array_m1,array_y2,1);
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp2[3] := array_tmp1[3];
> #emit pre add FULL CONST $eq_no = 1 i = 3
> array_tmp3[3] := array_tmp2[3];
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if ( not array_y1_set_initial[1,4]) then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp3[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;
> #emit pre sub FULL CONST $eq_no = 2 i = 3
> array_tmp5[3] := array_y1[3];
> #emit pre assign xxx $eq_no = 2 i = 3 $min_hdrs = 5
> if ( not array_y2_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_y2[4] := temporary;
> array_y2_higher[1,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y2_higher[2,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> # emit pre mult FULL FULL $eq_no = 1 i = 4
> array_tmp1[4] := ats(4,array_m1,array_y2,1);
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp2[4] := array_tmp1[4];
> #emit pre add FULL CONST $eq_no = 1 i = 4
> array_tmp3[4] := array_tmp2[4];
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if ( not array_y1_set_initial[1,5]) then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp3[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;
> #emit pre sub FULL CONST $eq_no = 2 i = 4
> array_tmp5[4] := array_y1[4];
> #emit pre assign xxx $eq_no = 2 i = 4 $min_hdrs = 5
> if ( not array_y2_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_y2[5] := temporary;
> array_y2_higher[1,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y2_higher[2,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> # emit pre mult FULL FULL $eq_no = 1 i = 5
> array_tmp1[5] := ats(5,array_m1,array_y2,1);
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp2[5] := array_tmp1[5];
> #emit pre add FULL CONST $eq_no = 1 i = 5
> array_tmp3[5] := array_tmp2[5];
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if ( not array_y1_set_initial[1,6]) then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp3[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;
> #emit pre sub FULL CONST $eq_no = 2 i = 5
> array_tmp5[5] := array_y1[5];
> #emit pre assign xxx $eq_no = 2 i = 5 $min_hdrs = 5
> if ( not array_y2_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_y2[6] := temporary;
> array_y2_higher[1,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y2_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 mult FULL FULL $eq_no = 1
> array_tmp1[kkk] := ats(kkk,array_m1,array_y2,1);
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp2[kkk] := array_tmp1[kkk];
> #emit FULL - NOT FULL add $eq_no = 1
> array_tmp3[kkk] := array_tmp2[kkk];
> #emit assign $eq_no = 1
> order_d := 1;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if ( not array_y1_set_initial[1,kkk + order_d]) then # if number 2
> temporary := array_tmp3[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;
> #emit FULL - NOT FULL sub $eq_no = 2
> array_tmp5[kkk] := array_y1[kkk];
> #emit assign $eq_no = 2
> order_d := 1;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if ( not array_y2_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_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;
> 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_1,
array_const_0D0, array_const_1D0, array_y1_init, array_y2_init, array_norms,
array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_y1, array_x, array_y2, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y1_higher,
array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial,
array_y2_higher, array_y2_higher_work, array_y2_higher_work2,
array_y2_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
array_tmp1[1] := array_m1[1]*array_y2[1];
array_tmp2[1] := array_const_0D0[1] + array_tmp1[1];
array_tmp3[1] := array_tmp2[1] + array_const_1D0[1];
if not array_y1_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp3[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_tmp5[1] := array_y1[1] - array_const_1D0[1];
if not array_y2_set_initial[2, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp5[1]*expt(glob_h, 1)*factorial_3(0, 1);
array_y2[2] := temporary;
array_y2_higher[1, 2] := temporary;
temporary := temporary*1.0/glob_h;
array_y2_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := ats(2, array_m1, array_y2, 1);
array_tmp2[2] := array_tmp1[2];
array_tmp3[2] := array_tmp2[2];
if not array_y1_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp3[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_tmp5[2] := array_y1[2];
if not array_y2_set_initial[2, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp5[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_y2[3] := temporary;
array_y2_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y2_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp1[3] := ats(3, array_m1, array_y2, 1);
array_tmp2[3] := array_tmp1[3];
array_tmp3[3] := array_tmp2[3];
if not array_y1_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp3[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_tmp5[3] := array_y1[3];
if not array_y2_set_initial[2, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp5[3]*expt(glob_h, 1)*factorial_3(2, 3);
array_y2[4] := temporary;
array_y2_higher[1, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y2_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp1[4] := ats(4, array_m1, array_y2, 1);
array_tmp2[4] := array_tmp1[4];
array_tmp3[4] := array_tmp2[4];
if not array_y1_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp3[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_tmp5[4] := array_y1[4];
if not array_y2_set_initial[2, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp5[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_y2[5] := temporary;
array_y2_higher[1, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y2_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp1[5] := ats(5, array_m1, array_y2, 1);
array_tmp2[5] := array_tmp1[5];
array_tmp3[5] := array_tmp2[5];
if not array_y1_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp3[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;
array_tmp5[5] := array_y1[5];
if not array_y2_set_initial[2, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp5[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_y2[6] := temporary;
array_y2_higher[1, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y2_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp1[kkk] := ats(kkk, array_m1, array_y2, 1);
array_tmp2[kkk] := array_tmp1[kkk];
array_tmp3[kkk] := array_tmp2[kkk];
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y1_set_initial[1, kkk + order_d] then
temporary := array_tmp3[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;
array_tmp5[kkk] := array_y1[kkk];
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y2_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_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;
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 + cos(x));
> end;
exact_soln_y1 := proc(x) return 1.0 + cos(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
> #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_1,
> array_const_0D0,
> array_const_1D0,
> #END CONST
> array_y1_init,
> array_y2_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y1,
> array_x,
> array_y2,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_set_initial,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_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/mtest2postode.ode#################");
> omniout_str(ALWAYS,"diff ( y1 , x , 1 ) = m1 * y2 + 1.0;");
> omniout_str(ALWAYS,"diff ( y2 , x , 1 ) = y1 - 1.0;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits:=64;");
> 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 := 10.0;");
> 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,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 1000000;");
> omniout_str(ALWAYS,"glob_display_interval := 0.1;");
> omniout_str(ALWAYS,"glob_max_minutes := 10;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_desired_digits_correct:=10;");
> omniout_str(ALWAYS,"glob_display_interval:=0.001;");
> omniout_str(ALWAYS,"glob_look_poles:=true;");
> omniout_str(ALWAYS,"glob_max_iter:=10000000;");
> omniout_str(ALWAYS,"glob_max_minutes:=3;");
> omniout_str(ALWAYS,"glob_subiter_method:=3;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_y1 := proc(x)");
> omniout_str(ALWAYS,"return(1.0 + cos(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,"");
> 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:=64;
> 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_y1_init:= Array(0..(max_terms + 1),[]);
> array_y2_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_y1:= Array(0..(max_terms + 1),[]);
> array_x:= Array(0..(max_terms + 1),[]);
> array_y2:= 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_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_y2_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y2_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y2_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y2_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_y1_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> 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_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_y1[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_y2[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 <=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 <= 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 <=2) 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 <=2) 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 <= 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_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_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_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_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_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_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1[1] := 1;
> array_const_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D0[1] := 0.0;
> array_const_1D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1D0[1] := 1.0;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #Initing Factorial Tables
> iiif := 0;
> while (iiif <= glob_max_terms) do # do number 2
> jjjf := 0;
> while (jjjf <= glob_max_terms) do # do number 3
> array_fact_1[iiif] := 0;
> array_fact_2[iiif,jjjf] := 0;
> jjjf := jjjf + 1;
> od;# end do number 3;
> iiif := iiif + 1;
> od;# end do number 2;
> #Done Initing Factorial Tables
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> x_start := 0.1;
> x_end := 10.0;
> array_y1_init[0 + 1] := exact_soln_y1(x_start);
> array_y2_init[0 + 1] := exact_soln_y2(x_start);
> glob_look_poles := true;
> glob_max_iter := 1000000;
> glob_display_interval := 0.1;
> glob_max_minutes := 10;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_desired_digits_correct:=10;
> glob_display_interval:=0.001;
> glob_look_poles:=true;
> glob_max_iter:=10000000;
> glob_max_minutes:=3;
> glob_subiter_method:=3;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> 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_y1_set_initial[1,1] := true;
> array_y1_set_initial[1,2] := false;
> array_y1_set_initial[1,3] := false;
> array_y1_set_initial[1,4] := false;
> array_y1_set_initial[1,5] := false;
> array_y1_set_initial[1,6] := false;
> array_y1_set_initial[1,7] := false;
> array_y1_set_initial[1,8] := false;
> array_y1_set_initial[1,9] := false;
> array_y1_set_initial[1,10] := false;
> array_y1_set_initial[1,11] := false;
> array_y1_set_initial[1,12] := false;
> array_y1_set_initial[1,13] := false;
> array_y1_set_initial[1,14] := false;
> array_y1_set_initial[1,15] := false;
> array_y1_set_initial[1,16] := false;
> array_y1_set_initial[1,17] := false;
> array_y1_set_initial[1,18] := false;
> array_y1_set_initial[1,19] := false;
> array_y1_set_initial[1,20] := false;
> array_y1_set_initial[1,21] := false;
> array_y1_set_initial[1,22] := false;
> array_y1_set_initial[1,23] := false;
> array_y1_set_initial[1,24] := false;
> array_y1_set_initial[1,25] := false;
> array_y1_set_initial[1,26] := false;
> array_y1_set_initial[1,27] := false;
> array_y1_set_initial[1,28] := false;
> array_y1_set_initial[1,29] := false;
> array_y1_set_initial[1,30] := false;
> array_y2_set_initial[2,1] := true;
> array_y2_set_initial[2,2] := false;
> array_y2_set_initial[2,3] := false;
> array_y2_set_initial[2,4] := false;
> array_y2_set_initial[2,5] := false;
> array_y2_set_initial[2,6] := false;
> array_y2_set_initial[2,7] := false;
> array_y2_set_initial[2,8] := false;
> array_y2_set_initial[2,9] := false;
> array_y2_set_initial[2,10] := false;
> array_y2_set_initial[2,11] := false;
> array_y2_set_initial[2,12] := false;
> array_y2_set_initial[2,13] := false;
> array_y2_set_initial[2,14] := false;
> array_y2_set_initial[2,15] := false;
> array_y2_set_initial[2,16] := false;
> array_y2_set_initial[2,17] := false;
> array_y2_set_initial[2,18] := false;
> array_y2_set_initial[2,19] := false;
> array_y2_set_initial[2,20] := false;
> array_y2_set_initial[2,21] := false;
> array_y2_set_initial[2,22] := false;
> array_y2_set_initial[2,23] := false;
> array_y2_set_initial[2,24] := false;
> array_y2_set_initial[2,25] := false;
> array_y2_set_initial[2,26] := false;
> array_y2_set_initial[2,27] := false;
> array_y2_set_initial[2,28] := false;
> array_y2_set_initial[2,29] := false;
> array_y2_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 := 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
> ;
> order_diff := 1;
> #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
> ;
> if (glob_subiter_method = 1 ) then # if number 3
> atomall();
> elif
> (glob_subiter_method = 2 ) then # if number 4
> subiter := 1;
> while (subiter <= 2) do # do number 3
> atomall();
> subiter := subiter + 1;
> od;# end do number 3;
> else
> subiter := 1;
> while (subiter <= 2 + 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 := 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
> ;
> order_diff := 1;
> #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
> ;
> 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 <= 2) do # do number 3
> atomall();
> subiter := subiter + 1;
> od;# end do number 3;
> else
> subiter := 1;
> while (subiter <= 2 + 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_y1;
> order_diff := 2;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y1
> #BEFORE ADJUST SUBSERIES EQ =1
> 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 =1
> #BEFORE SUM SUBSERIES EQ =1
> 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 =1
> #BEFORE ADJUST SUBSERIES EQ =1
> 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 =1
> #BEFORE SUM SUBSERIES EQ =1
> 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 =1
> #BEFORE ADJUST SUBSERIES EQ =1
> 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 =1
> #BEFORE SUM SUBSERIES EQ =1
> 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 =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_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
> #Jump Series array_y2;
> order_diff := 2;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =2
> #sum_and_adjust array_y2
> #BEFORE ADJUST SUBSERIES EQ =2
> 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 =2
> #BEFORE SUM SUBSERIES EQ =2
> 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 =2
> #BEFORE ADJUST SUBSERIES EQ =2
> 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 =2
> #BEFORE SUM SUBSERIES EQ =2
> 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 =2
> #BEFORE ADJUST SUBSERIES EQ =2
> 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 =2
> #BEFORE SUM SUBSERIES EQ =2
> 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 =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_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
> ;
> 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 ( y1 , x , 1 ) = m1 * y2 + 1.0;");
> omniout_str(INFO,"diff ( y2 , x , 1 ) = y1 - 1.0;");
> 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,"2013-01-28T16:32:34-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"mtest2")
> ;
> logitem_str(html_log_file,"diff ( y1 , x , 1 ) = m1 * y2 + 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,"mtest2 diffeq.mxt")
> ;
> logitem_str(html_log_file,"mtest2 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 ( y2 , x , 1 ) = y1 - 1.0;")
> ;
> 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_1,
array_const_0D0, array_const_1D0, array_y1_init, array_y2_init, array_norms,
array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_y1, array_x, array_y2, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y1_higher,
array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial,
array_y2_higher, array_y2_higher_work, array_y2_higher_work2,
array_y2_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/mtest2postode.ode#################");
omniout_str(ALWAYS, "diff ( y1 , x , 1 ) = m1 * y2 + 1.0;");
omniout_str(ALWAYS, "diff ( y2 , x , 1 ) = y1 - 1.0;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits:=64;");
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 := 10.0;");
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, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 1000000;");
omniout_str(ALWAYS, "glob_display_interval := 0.1;");
omniout_str(ALWAYS, "glob_max_minutes := 10;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_desired_digits_correct:=10;");
omniout_str(ALWAYS, "glob_display_interval:=0.001;");
omniout_str(ALWAYS, "glob_look_poles:=true;");
omniout_str(ALWAYS, "glob_max_iter:=10000000;");
omniout_str(ALWAYS, "glob_max_minutes:=3;");
omniout_str(ALWAYS, "glob_subiter_method:=3;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_y1 := proc(x)");
omniout_str(ALWAYS, "return(1.0 + cos(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, "");
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 := 64;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_y1_init := Array(0 .. max_terms + 1, []);
array_y2_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_y1 := Array(0 .. max_terms + 1, []);
array_x := Array(0 .. max_terms + 1, []);
array_y2 := 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_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_y2_higher := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y2_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y2_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y2_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_y1_init[term] := 0.; term := term + 1
end do;
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_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_y1[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_y2[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 <= 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 <= max_terms do
array_y2_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_y2_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_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 <= 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_y1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y1[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_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 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_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_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_1D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1D0[term] := 0.; term := term + 1
end do;
array_const_1D0[1] := 1.0;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
iiif := 0;
while iiif <= glob_max_terms do
jjjf := 0;
while jjjf <= glob_max_terms do
array_fact_1[iiif] := 0;
array_fact_2[iiif, jjjf] := 0;
jjjf := jjjf + 1
end do;
iiif := iiif + 1
end do;
x_start := 0.1;
x_end := 10.0;
array_y1_init[1] := exact_soln_y1(x_start);
array_y2_init[1] := exact_soln_y2(x_start);
glob_look_poles := true;
glob_max_iter := 1000000;
glob_display_interval := 0.1;
glob_max_minutes := 10;
glob_desired_digits_correct := 10;
glob_display_interval := 0.001;
glob_look_poles := true;
glob_max_iter := 10000000;
glob_max_minutes := 3;
glob_subiter_method := 3;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
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_y1_set_initial[1, 1] := true;
array_y1_set_initial[1, 2] := false;
array_y1_set_initial[1, 3] := false;
array_y1_set_initial[1, 4] := false;
array_y1_set_initial[1, 5] := false;
array_y1_set_initial[1, 6] := false;
array_y1_set_initial[1, 7] := false;
array_y1_set_initial[1, 8] := false;
array_y1_set_initial[1, 9] := false;
array_y1_set_initial[1, 10] := false;
array_y1_set_initial[1, 11] := false;
array_y1_set_initial[1, 12] := false;
array_y1_set_initial[1, 13] := false;
array_y1_set_initial[1, 14] := false;
array_y1_set_initial[1, 15] := false;
array_y1_set_initial[1, 16] := false;
array_y1_set_initial[1, 17] := false;
array_y1_set_initial[1, 18] := false;
array_y1_set_initial[1, 19] := false;
array_y1_set_initial[1, 20] := false;
array_y1_set_initial[1, 21] := false;
array_y1_set_initial[1, 22] := false;
array_y1_set_initial[1, 23] := false;
array_y1_set_initial[1, 24] := false;
array_y1_set_initial[1, 25] := false;
array_y1_set_initial[1, 26] := false;
array_y1_set_initial[1, 27] := false;
array_y1_set_initial[1, 28] := false;
array_y1_set_initial[1, 29] := false;
array_y1_set_initial[1, 30] := false;
array_y2_set_initial[2, 1] := true;
array_y2_set_initial[2, 2] := false;
array_y2_set_initial[2, 3] := false;
array_y2_set_initial[2, 4] := false;
array_y2_set_initial[2, 5] := false;
array_y2_set_initial[2, 6] := false;
array_y2_set_initial[2, 7] := false;
array_y2_set_initial[2, 8] := false;
array_y2_set_initial[2, 9] := false;
array_y2_set_initial[2, 10] := false;
array_y2_set_initial[2, 11] := false;
array_y2_set_initial[2, 12] := false;
array_y2_set_initial[2, 13] := false;
array_y2_set_initial[2, 14] := false;
array_y2_set_initial[2, 15] := false;
array_y2_set_initial[2, 16] := false;
array_y2_set_initial[2, 17] := false;
array_y2_set_initial[2, 18] := false;
array_y2_set_initial[2, 19] := false;
array_y2_set_initial[2, 20] := false;
array_y2_set_initial[2, 21] := false;
array_y2_set_initial[2, 22] := false;
array_y2_set_initial[2, 23] := false;
array_y2_set_initial[2, 24] := false;
array_y2_set_initial[2, 25] := false;
array_y2_set_initial[2, 26] := false;
array_y2_set_initial[2, 27] := false;
array_y2_set_initial[2, 28] := false;
array_y2_set_initial[2, 29] := false;
array_y2_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 := 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;
order_diff := 1;
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;
if glob_subiter_method = 1 then atomall()
elif glob_subiter_method = 2 then
subiter := 1;
while subiter <= 2 do atomall(); subiter := subiter + 1 end do
else
subiter := 1;
while subiter <= 2 + 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 := 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;
order_diff := 1;
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;
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 <= 2 do atomall(); subiter := subiter + 1
end do
else
subiter := 1;
while subiter <= 2 + 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 := 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;
order_diff := 2;
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 := 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
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 ( y1 , x , 1 ) = m1 * y2 + 1.0;");
omniout_str(INFO, "diff ( y2 , x , 1 ) = y1 - 1.0;");
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, "2013-01-28T16:32:34-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"mtest2");
logitem_str(html_log_file,
"diff ( y1 , x , 1 ) = m1 * y2 + 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,
"mtest2 diffeq.mxt");
logitem_str(html_log_file, "mtest2 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 ( y2 , x , 1 ) = y1 - 1.0;");
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/mtest2postode.ode#################
diff ( y1 , x , 1 ) = m1 * y2 + 1.0;
diff ( y2 , x , 1 ) = y1 - 1.0;
!
#BEGIN FIRST INPUT BLOCK
Digits:=64;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 0.1;
x_end := 10.0;
array_y1_init[0 + 1] := exact_soln_y1(x_start);
array_y2_init[0 + 1] := exact_soln_y2(x_start);
glob_look_poles := true;
glob_max_iter := 1000000;
glob_display_interval := 0.1;
glob_max_minutes := 10;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_desired_digits_correct:=10;
glob_display_interval:=0.001;
glob_look_poles:=true;
glob_max_iter:=10000000;
glob_max_minutes:=3;
glob_subiter_method:=3;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y1 := proc(x)
return(1.0 + cos(x));
end;
exact_soln_y2 := proc(x)
return(1.0 + sin(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=0.18
glob_desired_digits_correct = 10
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 9.9
estimated_steps = 9900
step_error = 1.0101010101010101010101010101010e-14
est_needed_step_err = 1.0101010101010101010101010101010e-14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 2.4672040251049429538467757202073e-105
max_value3 = 2.4672040251049429538467757202073e-105
value3 = 2.4672040251049429538467757202073e-105
best_h = 0.001
START of Soultion
TOP MAIN SOLVE Loop
x[1] = 0.1
y1[1] (analytic) = 1.9950041652780257660955619878039
y1[1] (numeric) = 1.9950041652780257660955619878039
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.0998334166468281523068141984106
y2[1] (numeric) = 1.0998334166468281523068141984106
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=7.6MB, alloc=4.3MB, time=0.41
x[1] = 0.101
y1[1] (analytic) = 1.994903834375976659378402999829
y1[1] (numeric) = 1.994903834375976659378402999829
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1008283707295679951297521195232
y2[1] (numeric) = 1.1008283707295679951297521195232
absolute error = 1e-63
relative error = 9.0840682034498752727340641765805e-62 %
Correct digits = 64
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=0.64
x[1] = 0.102
y1[1] (analytic) = 1.9948025085701760853346856764599
y1[1] (numeric) = 1.9948025085701760853346856764599
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1018232239839455107486422960807
y2[1] (numeric) = 1.1018232239839455107486422960807
absolute error = 1e-63
relative error = 9.0758660575715986125085029519651e-62 %
Correct digits = 64
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=0.86
x[1] = 0.103
y1[1] (analytic) = 1.9947001879619498413211671928266
y1[1] (numeric) = 1.9947001879619498413211671928266
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1028179754151075276904042105046
y2[1] (numeric) = 1.1028179754151075276904042105046
absolute error = 1e-63
relative error = 9.0676795472398225656926143590612e-62 %
Correct digits = 64
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=1.09
x[1] = 0.104
y1[1] (analytic) = 1.9945968726536185270373744944846
y1[1] (numeric) = 1.9945968726536185270373744944846
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1038126240283026976889707546695
y2[1] (numeric) = 1.1038126240283026976889707546695
absolute error = 1e-63
relative error = 9.0595086360813277542859216396109e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.105
y1[1] (analytic) = 1.9944925627484974422050131246041
y1[1] (numeric) = 1.9944925627484974422050131246041
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1048071688288824904365536000268
y2[1] (numeric) = 1.1048071688288824904365536000268
absolute error = 1e-63
relative error = 9.0513532878322995682812912094535e-62 %
Correct digits = 64
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=1.31
x[1] = 0.106
y1[1] (analytic) = 1.9943872583508964832526761118722
y1[1] (numeric) = 1.9943872583508964832526761118722
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1058016088223021882320906180187
y2[1] (numeric) = 1.1058016088223021882320906180187
absolute error = 1e-63
relative error = 9.0432134663379380598444600776018e-62 %
Correct digits = 64
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=1.54
x[1] = 0.107
y1[1] (analytic) = 1.9942809595661200390059562343918
y1[1] (numeric) = 1.9942809595661200390059562343918
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1067959430141218805258807024165
y2[1] (numeric) = 1.1067959430141218805258807024165
absolute error = 1e-63
relative error = 9.0350891355520694664192954312664e-62 %
Correct digits = 64
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=1.77
x[1] = 0.108
y1[1] (analytic) = 1.9941736665004668853830659694533
y1[1] (numeric) = 1.9941736665004668853830659694533
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1077901704100074583594114490316
y2[1] (numeric) = 1.1077901704100074583594114490316
absolute error = 1e-63
relative error = 9.0269802595367593550019973401987e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.109
y1[1] (analytic) = 1.9940653792612300790960704335539
y1[1] (numeric) = 1.9940653792612300790960704335539
absolute error = 1e-63
relative error = 5.0148807075246665300616373141044e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1087842900157316086993852530554
y2[1] (numeric) = 1.1087842900157316086993852530554
absolute error = 1e-63
relative error = 9.0188868024619273798690086914175e-62 %
Correct digits = 64
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=2.00
x[1] = 0.11
y1[1] (analytic) = 1.9939560979566968503578396114198
y1[1] (numeric) = 1.9939560979566968503578396114198
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1097783008371748086649494900835
y2[1] (numeric) = 1.1097783008371748086649494900835
absolute error = 0
relative error = 0 %
Correct digits = 64
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=2.22
x[1] = 0.111
y1[1] (analytic) = 1.993845822696148494594827167072
y1[1] (numeric) = 1.993845822696148494594827167072
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1107722018803263196471365536769
y2[1] (numeric) = 1.1107722018803263196471365536769
absolute error = 1e-63
relative error = 9.0027460023503466711559771426235e-62 %
Correct digits = 64
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=2.45
x[1] = 0.112
y1[1] (analytic) = 1.9937345535898602631657841241467
y1[1] (numeric) = 1.9937345535898602631657841241467
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1117659921512851813195196301052
y2[1] (numeric) = 1.1117659921512851813195196301052
absolute error = 1e-63
relative error = 8.9946985881892629372417070016626e-62 %
Correct digits = 64
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=2.69
x[1] = 0.113
y1[1] (analytic) = 1.9936222907491012530865166967485
y1[1] (numeric) = 1.9936222907491012530865166967485
absolute error = 1e-63
relative error = 5.0159952797490600140029164077156e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1127596706562612055390901996952
y2[1] (numeric) = 1.1127596706562612055390901996952
absolute error = 1e-63
relative error = 8.9866664507192280263655695638531e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.114
y1[1] (analytic) = 1.9935090342861342957607985460685
y1[1] (numeric) = 1.9935090342861342957607985460685
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1137532364015759701363633639937
y2[1] (numeric) = 1.1137532364015759701363633639937
absolute error = 2e-63
relative error = 1.7957299109287418662242208854180e-61 %
Correct digits = 64
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=2.91
x[1] = 0.115
y1[1] (analytic) = 1.9933947843142158447175487318465
y1[1] (numeric) = 1.9933947843142158447175487318465
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1147466883936638125937172087197
y2[1] (numeric) = 1.1147466883936638125937172087197
absolute error = 2e-63
relative error = 1.7941295729543500666795906628722e-61 %
Correct digits = 64
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=3.14
x[1] = 0.116
y1[1] (analytic) = 1.993279540947595862354387621489
y1[1] (numeric) = 1.993279540947595862354387621489
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1157400256390728236109725242508
y2[1] (numeric) = 1.1157400256390728236109725242508
absolute error = 1e-63
relative error = 8.9626613460175964436980872909613e-62 %
Correct digits = 64
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=3.37
x[1] = 0.117
y1[1] (analytic) = 1.993163304301517705687684013279
y1[1] (numeric) = 1.993163304301517705687684013279
absolute error = 1e-63
relative error = 5.0171503651600643420268444514781e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1167332471444658405572193181459
y2[1] (numeric) = 1.1167332471444658405572193181459
absolute error = 1e-63
relative error = 8.9546899634003223936504479601263e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.118
y1[1] (analytic) = 1.99304607449221801110920772362
y1[1] (numeric) = 1.99304607449221801110920772362
absolute error = 1e-63
relative error = 5.0174454710224240252081801655506e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.117726351916621440807896667961
y2[1] (numeric) = 1.117726351916621440807896667961
absolute error = 2e-63
relative error = 1.7893467364086922348743631158975e-61 %
Correct digits = 64
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=3.59
x[1] = 0.119
y1[1] (analytic) = 1.9929278516369265781495028816522
y1[1] (numeric) = 1.9929278516369265781495028816522
absolute error = 1e-63
relative error = 5.0177431118674581911520597290990e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1187193389624349349661325773612
y2[1] (numeric) = 1.1187193389624349349661325773612
absolute error = 2e-63
relative error = 1.7877584934349269026721740392140e-61 %
Correct digits = 64
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=3.82
x[1] = 0.12
y1[1] (analytic) = 1.9928086358538662522480981678576
y1[1] (numeric) = 1.9928086358538662522480981678576
absolute error = 1e-63
relative error = 5.0180432882935908112451694551818e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.119712207288919359967350614271
y2[1] (numeric) = 1.119712207288919359967350614271
absolute error = 2e-63
relative error = 1.7861732568250369765302667137981e-61 %
Correct digits = 64
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=4.05
x[1] = 0.121
y1[1] (analytic) = 1.9926884272622528065306712264356
y1[1] (numeric) = 1.9926884272622528065306712264356
absolute error = 1e-63
relative error = 5.0183460009043976231818861055706e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1207049559032064720661502265403
y2[1] (numeric) = 1.1207049559032064720661502265403
absolute error = 2e-63
relative error = 1.7845910196659618061977542682541e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.4MB, time=4.28
x[1] = 0.122
y1[1] (analytic) = 1.992567225982294822593285474272
y1[1] (numeric) = 1.992567225982294822593285474272
absolute error = 1e-63
relative error = 5.0186512503086087147802678879265e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1216975838125477397044677483272
y2[1] (numeric) = 1.1216975838125477397044677483272
absolute error = 2e-63
relative error = 1.7830117750652386065668196258541e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.123
y1[1] (analytic) = 1.9924450321351935702938185222573
y1[1] (numeric) = 1.9924450321351935702938185222573
absolute error = 1e-63
relative error = 5.0189590371201111301791268337272e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1226900900243153362600252291201
y2[1] (numeric) = 1.1226900900243153362600252291201
absolute error = 1e-63
relative error = 8.9071775807546488470350644036353e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.4MB, time=4.50
x[1] = 0.124
y1[1] (analytic) = 1.992321845843142886550702417515
y1[1] (numeric) = 1.992321845843142886550702417515
absolute error = 1e-63
relative error = 5.0192693619579514984353697086386e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1236824735460031326740743370329
y2[1] (numeric) = 1.1236824735460031326740743370329
absolute error = 1e-63
relative error = 8.8993111803577523780450147122278e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.4MB, time=4.73
x[1] = 0.125
y1[1] (analytic) = 1.9921976672293290531490969077883
y1[1] (numeric) = 1.9921976672293290531490969077883
absolute error = 1e-63
relative error = 5.0195822254463386845409625002608e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1246747333852276899574427087121
y2[1] (numeric) = 1.1246747333852276899574427087121
absolute error = 1e-63
relative error = 8.8914596399799830326059934059025e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=83.9MB, alloc=4.4MB, time=4.96
x[1] = 0.126
y1[1] (analytic) = 1.9920724964179306735546179218037
y1[1] (numeric) = 1.9920724964179306735546179218037
absolute error = 1e-63
relative error = 5.0198976282146464628790416395991e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1256668685497292515738902398917
y2[1] (numeric) = 1.1256668685497292515738902398917
absolute error = 2e-63
relative error = 1.7767245851134729529701676048465e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.127
y1[1] (analytic) = 1.9919463335341185487347444518721
y1[1] (numeric) = 1.9919463335341185487347444518721
absolute error = 1e-63
relative error = 5.0202155708974162131388634441528e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1266588780473727356997829333235
y2[1] (numeric) = 1.1266588780473727356997829333235
absolute error = 2e-63
relative error = 1.7751602006334217205632486644908e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.4MB, time=5.18
x[1] = 0.128
y1[1] (analytic) = 1.9918191787040555519880280173089
y1[1] (numeric) = 1.9918191787040555519880280173089
absolute error = 1e-63
relative error = 5.0205360541343596387094518241164e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1276507608861487273590920444897
y2[1] (numeric) = 1.1276507608861487273590920444897
absolute error = 1e-63
relative error = 8.8679938389272566493959020046179e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.4MB, time=5.41
x[1] = 0.129
y1[1] (analytic) = 1.9916910320548965027812298794554
y1[1] (numeric) = 1.9916910320548965027812298794554
absolute error = 1e-63
relative error = 5.0208590785703615075719730707935e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.128642516074174470432726390184
y2[1] (numeric) = 1.128642516074174470432726390184
absolute error = 1e-63
relative error = 8.8602013990963275507997329929038e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.4MB, time=5.64
x[1] = 0.13
y1[1] (analytic) = 1.9915618937147880395945121711518
y1[1] (numeric) = 1.9915618937147880395945121711518
absolute error = 1e-63
relative error = 5.0211846448554824157110355498792e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1296341426196948595412058107083
y2[1] (numeric) = 1.1296341426196948595412058107083
absolute error = 1e-63
relative error = 8.8524236500229634256218959208414e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.4MB, time=5.88
x[1] = 0.131
y1[1] (analytic) = 1.9914317638128684917748100954616
y1[1] (numeric) = 1.9914317638128684917748100954616
absolute error = 2e-63
relative error = 1.0043025507289923146130562707447e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1306256395310834317996839030976
y2[1] (numeric) = 1.1306256395310834317996839030976
absolute error = 1e-63
relative error = 8.8446605581555782476567628904849e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.132
y1[1] (analytic) = 1.991300642479267750397513340263
y1[1] (numeric) = 1.991300642479267750397513340263
absolute error = 2e-63
relative error = 1.0043686811198439224075612855997e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1316170058168433584443282704301
y2[1] (numeric) = 1.1316170058168433584443282704301
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=102.9MB, alloc=4.4MB, time=6.10
x[1] = 0.133
y1[1] (analytic) = 1.9911685298451071381365858470171
y1[1] (numeric) = 1.9911685298451071381365858470171
absolute error = 2e-63
relative error = 1.0044353202767722837174230762644e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1326082404856084363290666609268
y2[1] (numeric) = 1.1326082404856084363290666609268
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=106.8MB, alloc=4.4MB, time=6.33
x[1] = 0.134
y1[1] (analytic) = 1.9910354260424992781432540635797
y1[1] (numeric) = 1.9910354260424992781432540635797
absolute error = 3e-63
relative error = 1.5067537025009036957758461339828e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1335993425461440792917075001763
y2[1] (numeric) = 1.1335993425461440792917075001763
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.4MB, time=6.57
x[1] = 0.135
y1[1] (analytic) = 1.9909013312045479619333948023605
y1[1] (numeric) = 1.9909013312045479619333948023605
absolute error = 3e-63
relative error = 1.5068551881397962872411392676746e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1345903110073483093884434504466
y2[1] (numeric) = 1.1345903110073483093884434504466
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.136
y1[1] (analytic) = 1.990766245465348016283754816428
y1[1] (numeric) = 1.990766245465348016283754816428
absolute error = 3e-63
relative error = 1.5069574375361886577590048744559e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1355811448782527479957467626642
y2[1] (numeric) = 1.1355811448782527479957467626642
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.4MB, time=6.79
x[1] = 0.137
y1[1] (analytic) = 1.9906301689599851691371351973316
y1[1] (numeric) = 1.9906301689599851691371351973316
absolute error = 3e-63
relative error = 1.5070604508959920063598292056165e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1365718431680236067786653192461
y2[1] (numeric) = 1.1365718431680236067786653192461
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.4MB, time=7.02
x[1] = 0.138
y1[1] (analytic) = 1.9904931018245359145166746894439
y1[1] (numeric) = 1.9904931018245359145166746894439
absolute error = 3e-63
relative error = 1.5071642284266771566104470306466e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1375624048859626785245283995723
y2[1] (numeric) = 1.1375624048859626785245283995723
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.4MB, time=7.25
x[1] = 0.139
y1[1] (analytic) = 1.9903550441960673764493670065295
y1[1] (numeric) = 1.9903550441960673764493670065295
absolute error = 3e-63
relative error = 1.5072687703372754467196993788263e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1385528290415083278410713344755
y2[1] (numeric) = 1.1385528290415083278410713344755
absolute error = 1e-63
relative error = 8.7830794890901185026282676269477e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.14
y1[1] (analytic) = 1.9902159962126371718989482270114
y1[1] (numeric) = 1.9902159962126371718989482270114
absolute error = 2e-63
relative error = 1.0049160512255864176420440742915e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1395431146442364817179883517054
y2[1] (numeric) = 1.1395431146442364817179883517054
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
memory used=125.8MB, alloc=4.4MB, time=7.48
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.141
y1[1] (analytic) = 1.9900759580132932727082913350357
y1[1] (numeric) = 1.9900759580132932727082913350357
absolute error = 2e-63
relative error = 1.0049867654280965072886633500590e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1405332607038616199509230508977
y2[1] (numeric) = 1.1405332607038616199509230508977
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.4MB, time=7.71
x[1] = 0.142
y1[1] (analytic) = 1.9899349297380738665514459649294
y1[1] (numeric) = 1.9899349297380738665514459649294
absolute error = 2e-63
relative error = 1.0050579896415260940810671647313e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1415232662302377654269060841403
y2[1] (numeric) = 1.1415232662302377654269060841403
absolute error = 1e-63
relative error = 8.7602244262825787235899392612377e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.4MB, time=7.94
x[1] = 0.143
y1[1] (analytic) = 1.9897929115280072168954623969991
y1[1] (numeric) = 1.9897929115280072168954623969991
absolute error = 2e-63
relative error = 1.0051297240093968008949722131981e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1425131302333594742702497567803
y2[1] (numeric) = 1.1425131302333594742702497567803
absolute error = 1e-63
relative error = 8.7526346397064949109149541683058e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.4MB, time=8.17
x[1] = 0.144
y1[1] (analytic) = 1.9896499035251115219721398428361
y1[1] (numeric) = 1.9896499035251115219721398428361
absolute error = 2e-63
relative error = 1.0052019686762736289988453884375e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.143502851723362825847909402661
y2[1] (numeric) = 1.143502851723362825847909402661
absolute error = 1e-63
relative error = 8.7450590830876287421261578710037e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.145
y1[1] (analytic) = 1.989505905872394772759840048366
y1[1] (numeric) = 1.989505905872394772759840048366
absolute error = 2e-63
relative error = 1.0052747237877655788008134998467e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1444924297105264126333215285089
y2[1] (numeric) = 1.1444924297105264126333215285089
absolute error = 1e-63
relative error = 8.7374977242350784363357626545174e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.4MB, time=8.40
x[1] = 0.146
y1[1] (analytic) = 1.9893609187138546099755082328197
y1[1] (numeric) = 1.9893609187138546099755082328197
absolute error = 3e-63
relative error = 1.5080219842357894127529394462840e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1454818632052723299277288637166
y2[1] (numeric) = 1.1454818632052723299277288637166
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.4MB, time=8.63
x[1] = 0.147
y1[1] (analytic) = 1.9892149421944781800770443715908
y1[1] (numeric) = 1.9892149421944781800770443715908
absolute error = 3e-63
relative error = 1.5081326488983818959909414111533e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1464711512181671654380025942768
y2[1] (numeric) = 1.1464711512181671654380025942768
absolute error = 1e-63
relative error = 8.7224174715383264837752325102262e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.4MB, time=8.86
x[1] = 0.148
y1[1] (analytic) = 1.9890679764602419902761688205978
y1[1] (numeric) = 1.9890679764602419902761688205978
absolute error = 3e-63
relative error = 1.5082440798925429700085860960064e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1474602927599229887099722031298
y2[1] (numeric) = 1.1474602927599229887099722031298
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.149
y1[1] (analytic) = 1.9889200216581117625619272692718
y1[1] (numeric) = 1.9889200216581117625619272692718
absolute error = 4e-63
relative error = 2.0111417032572794383407513217834e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.148449286841398340416273483676
y2[1] (numeric) = 1.148449286841398340416273483676
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
memory used=152.5MB, alloc=4.4MB, time=9.10
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.15
y1[1] (analytic) = 1.9887710779360422867349809986543
y1[1] (numeric) = 1.9887710779360422867349809986543
absolute error = 4e-63
relative error = 2.0112923223678525647013342565552e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1494381324735992214977254386876
y2[1] (numeric) = 1.1494381324735992214977254386876
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.4MB, time=9.33
x[1] = 0.151
y1[1] (analytic) = 1.9886211454429772724528294103012
y1[1] (numeric) = 1.9886211454429772724528294103012
absolute error = 5e-63
relative error = 2.5143049551986032255688849646357e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1504268286676800821572469233262
y2[1] (numeric) = 1.1504268286676800821572469233262
absolute error = 1e-63
relative error = 8.6924259334086394746662982217736e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.4MB, time=9.56
x[1] = 0.152
y1[1] (analytic) = 1.9884702243288492002861127807586
y1[1] (numeric) = 1.9884702243288492002861127807586
absolute error = 5e-63
relative error = 2.5144957861702987570585300393180e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1514153744349448107053240384303
y2[1] (numeric) = 1.1514153744349448107053240384303
absolute error = 1e-63
relative error = 8.6849630654858012895523031095567e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.4MB, time=9.79
x[1] = 0.153
y1[1] (analytic) = 1.9883183147445791717861441852958
y1[1] (numeric) = 1.9883183147445791717861441852958
absolute error = 5e-63
relative error = 2.5146878962598620257451346217484e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1524037687868477222560394286897
y2[1] (numeric) = 1.1524037687868477222560394286897
absolute error = 1e-63
relative error = 8.6775141411826048135291199892127e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.154
y1[1] (analytic) = 1.9881654168420767585638205233501
y1[1] (numeric) = 1.9881654168420767585638205233501
absolute error = 4e-63
relative error = 2.0119050286839017900448227229627e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1533920107349945472726747897587
y2[1] (numeric) = 1.1533920107349945472726747897587
absolute error = 1e-63
relative error = 8.6700791291484142634673659295792e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=4.4MB, time=10.02
x[1] = 0.155
y1[1] (analytic) = 1.9880115307742398503800635667605
y1[1] (numeric) = 1.9880115307742398503800635667605
absolute error = 4e-63
relative error = 2.0120607642764437965362352832162e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1543800992911434199618980387873
y2[1] (numeric) = 1.1543800992911434199618980387873
absolute error = 1e-63
relative error = 8.6626579981243458048091217450626e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.4MB, time=10.25
x[1] = 0.156
y1[1] (analytic) = 1.9878566566949545022479429403361
y1[1] (numeric) = 1.9878566566949545022479429403361
absolute error = 4e-63
relative error = 2.0122175240997861830358481166766e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1553680334672058665155467542681
y2[1] (numeric) = 1.1553680334672058665155467542681
absolute error = 1e-63
relative error = 8.6552507169429501507433187635463e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.4MB, time=10.48
x[1] = 0.157
y1[1] (analytic) = 1.9877007947590947805466339326243
y1[1] (numeric) = 1.9877007947590947805466339326243
absolute error = 4e-63
relative error = 2.0123753084703031048038462972714e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1563558122752477931990196434947
y2[1] (numeric) = 1.1563558122752477931990196434947
absolute error = 1e-63
relative error = 8.6478572545278964488752565527173e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.158
y1[1] (analytic) = 1.9875439451225226081473640229073
y1[1] (numeric) = 1.9875439451225226081473640229073
absolute error = 4e-63
relative error = 2.0125341177064736905291665091358e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1573434347274904742852879493246
y2[1] (numeric) = 1.1573434347274904742852879493246
absolute error = 1e-63
relative error = 8.6404775798936574494375764891250e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=179.2MB, alloc=4.4MB, time=10.71
TOP MAIN SOLVE Loop
x[1] = 0.159
y1[1] (analytic) = 1.9873861079420876085515029984672
y1[1] (numeric) = 1.9873861079420876085515029984672
absolute error = 4e-63
relative error = 2.0126939521288834127352722650333e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1583308998363115398335388623175
y2[1] (numeric) = 1.1583308998363115398335388623175
absolute error = 1e-63
relative error = 8.6331116621451959491209852127145e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.4MB, time=10.94
x[1] = 0.16
y1[1] (analytic) = 1.9872272833756269490409525240183
y1[1] (numeric) = 1.9872272833756269490409525240183
absolute error = 4e-63
relative error = 2.0128548120602254674677881917781e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.159318206614245963311463159686
y2[1] (numeric) = 1.159318206614245963311463159686
absolute error = 1e-63
relative error = 8.6257594704776525046338123046310e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.4MB, time=11.17
x[1] = 0.161
y1[1] (analytic) = 1.9870674715819651828409920129023
y1[1] (numeric) = 1.9870674715819651828409920129023
absolute error = 4e-63
relative error = 2.0130166978253021632742173039352e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1603053540739870490601994488555
y2[1] (numeric) = 1.1603053540739870490601994488555
absolute error = 1e-63
relative error = 8.6184209741760344101300990935716e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.4MB, time=11.40
x[1] = 0.162
y1[1] (analytic) = 1.9869066727209140902957386371875
y1[1] (numeric) = 1.9869066727209140902957386371875
absolute error = 4e-63
relative error = 2.0131796097510263194860361011060e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1612923412283874196009475507708
y2[1] (numeric) = 1.1612923412283874196009475507708
absolute error = 1e-63
relative error = 8.6110961426149059326763514638147e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.163
y1[1] (analytic) = 1.9867448869532725190563803011996
y1[1] (numeric) = 1.9867448869532725190563803011996
absolute error = 4e-63
relative error = 2.0133435481664226738135333551080e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1622791670904600027822637164169
y2[1] (numeric) = 1.1622791670904600027822637164169
absolute error = 1e-63
relative error = 8.6037849452580797999573500264331e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=194.5MB, alloc=4.4MB, time=11.64
x[1] = 0.164
y1[1] (analytic) = 1.9865821144408262232823413902376
y1[1] (numeric) = 1.9865821144408262232823413902376
absolute error = 4e-63
relative error = 2.0135085134026292992638296021662e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1632658306733790187670505293435
y2[1] (numeric) = 1.1632658306733790187670505293435
absolute error = 2e-63
relative error = 1.7192974703316619868902994272969e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=198.3MB, alloc=4.4MB, time=11.87
x[1] = 0.165
y1[1] (analytic) = 1.9864183553463477018555420932949
y1[1] (numeric) = 1.9864183553463477018555420932949
absolute error = 4e-63
relative error = 2.0136745057928990303925856226785e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1642523309904809668582545072829
y2[1] (numeric) = 1.1642523309904809668582545072829
absolute error = 1e-63
relative error = 8.5892033314569854283360930978781e-62 %
Correct digits = 64
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=12.10
x[1] = 0.166
y1[1] (analytic) = 1.9862536098335960356079130855139
y1[1] (numeric) = 1.9862536098335960356079130855139
absolute error = 4e-63
relative error = 2.0138415256726008988999795780519e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1652386670552656121622845772482
y2[1] (numeric) = 1.1652386670552656121622845772482
absolute error = 1e-63
relative error = 8.5819328543838257534126745912305e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.167
y1[1] (analytic) = 1.9860878780673167235623283428443
y1[1] (numeric) = 1.9860878780673167235623283428443
absolute error = 4e-63
relative error = 2.0140095733792215785816039813562e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1662248378813969720891647607741
y2[1] (numeric) = 1.1662248378813969720891647607741
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=205.9MB, alloc=4.5MB, time=12.33
TOP MAIN SOLVE Loop
x[1] = 0.168
y1[1] (analytic) = 1.985921160213241518187119847961
y1[1] (numeric) = 1.985921160213241518187119847961
absolute error = 4e-63
relative error = 2.0141786492523668396450053069613e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1672108424827043026884345692303
y2[1] (numeric) = 1.1672108424827043026884345692303
absolute error = 1e-63
relative error = 8.5674324089807105417486097568262e-62 %
Correct digits = 64
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=12.56
x[1] = 0.169
y1[1] (analytic) = 1.9857534564380882596643389329105
y1[1] (numeric) = 1.9857534564380882596643389329105
absolute error = 4e-63
relative error = 2.0143487536337630124026607947545e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1681966798731830848198107733898
y2[1] (numeric) = 1.1681966798731830848198107733898
absolute error = 1e-63
relative error = 8.5602023805491199129408171575205e-62 %
Correct digits = 64
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=12.79
x[1] = 0.17
y1[1] (analytic) = 1.9855847669095607091719299902125
y1[1] (numeric) = 1.9855847669095607091719299902125
absolute error = 4e-63
relative error = 2.0145198868672584603522588778180e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1691823490669960101576243766709
y2[1] (numeric) = 1.1691823490669960101576243766709
absolute error = 0
relative error = 0 %
Correct digits = 64
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=13.02
x[1] = 0.171
y1[1] (analytic) = 1.9854150917963483811799832702289
y1[1] (numeric) = 1.9854150917963483811799832702289
absolute error = 3e-63
relative error = 1.5110190369741187969914162445849e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1701678490784739670280467877005
y2[1] (numeric) = 1.1701678490784739670280467877005
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.172
y1[1] (analytic) = 1.9852444312681263747612344685321
y1[1] (numeric) = 1.9852444312681263747612344685321
absolute error = 3e-63
relative error = 1.5111489309574197795183599901969e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1711531789221170260781193550527
y2[1] (numeric) = 1.1711531789221170260781193550527
absolute error = 0
relative error = 0 %
Correct digits = 64
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=13.25
x[1] = 0.173
y1[1] (analytic) = 1.9850727854955552039159797927608
y1[1] (numeric) = 1.9850727854955552039159797927608
absolute error = 3e-63
relative error = 1.5112795973630143395244379373670e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1721383376125954257756005952159
y2[1] (numeric) = 1.1721383376125954257756005952159
absolute error = 0
relative error = 0 %
Correct digits = 64
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=13.48
x[1] = 0.174
y1[1] (analytic) = 1.9849001546502806269115761840325
y1[1] (numeric) = 1.9849001546502806269115761840325
absolute error = 3e-63
relative error = 1.5114110364551660383884778027512e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1731233241647505577386456140236
y2[1] (numeric) = 1.1731233241647505577386456140236
absolute error = 0
relative error = 0 %
Correct digits = 64
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=13.72
x[1] = 0.175
y1[1] (analytic) = 1.9847265389049334746366973533995
y1[1] (numeric) = 1.9847265389049334746366973533995
absolute error = 2e-63
relative error = 1.0076954989998237282169746102277e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1741081375935959518943323919514
y2[1] (numeric) = 1.1741081375935959518943323919514
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.176
y1[1] (analytic) = 1.9845519384331294779705172790773
y1[1] (numeric) = 1.9845519384331294779705172790773
absolute error = 2e-63
relative error = 1.0077841558427880130758536977372e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1750927769143182614650497748359
y2[1] (numeric) = 1.1750927769143182614650497748359
absolute error = 1e-63
relative error = 8.5099663587917268871913210300418e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=232.7MB, alloc=4.5MB, time=13.95
TOP MAIN SOLVE Loop
x[1] = 0.177
y1[1] (analytic) = 1.9843763534094690941669937952475
y1[1] (numeric) = 1.9843763534094690941669937952475
absolute error = 2e-63
relative error = 1.0078733283450425299476859486854e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1760772411422782477817621837097
y2[1] (numeric) = 1.1760772411422782477817621837097
absolute error = 1e-63
relative error = 8.5028428832509228136720928355996e-62 %
Correct digits = 64
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=14.18
x[1] = 0.178
y1[1] (analytic) = 1.9841997840095373322544258881378
y1[1] (numeric) = 1.9841997840095373322544258881378
absolute error = 3e-63
relative error = 1.5119445250305400107404323763309e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1770615292930117649231662305697
y2[1] (numeric) = 1.1770615292930117649231662305697
absolute error = 1e-63
relative error = 8.4957325943754044808364413206295e-62 %
Correct digits = 64
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=14.41
x[1] = 0.179
y1[1] (analytic) = 1.9840222304099035774504592998064
y1[1] (numeric) = 1.9840222304099035774504592998064
absolute error = 3e-63
relative error = 1.5120798315753715459360388497431e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1780456403822307441797546010046
y2[1] (numeric) = 1.1780456403822307441797546010046
absolute error = 1e-63
relative error = 8.4886354630160021218708790809866e-62 %
Correct digits = 64
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=14.64
x[1] = 0.18
y1[1] (analytic) = 1.9838436927881214145927160246115
y1[1] (numeric) = 1.9838436927881214145927160246115
absolute error = 2e-63
relative error = 1.0081439416172814942819152269074e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1790295734258241783418027396992
y2[1] (numeric) = 1.1790295734258241783418027396992
absolute error = 1e-63
relative error = 8.4815514601077358374588506352998e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.181
y1[1] (analytic) = 1.9836641713227284505852242677207
y1[1] (numeric) = 1.9836641713227284505852242677207
absolute error = 2e-63
relative error = 1.0082351785717733886488665456973e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1800133274398591058102940509108
y2[1] (numeric) = 1.1800133274398591058102940509108
absolute error = 1e-63
relative error = 8.4744805566695286655322818746253e-62 %
Correct digits = 64
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=14.87
x[1] = 0.182
y1[1] (analytic) = 1.983483666193246135860826419216
y1[1] (numeric) = 1.983483666193246135860826419216
absolute error = 2e-63
relative error = 1.0083269320984389274459368173996e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1809969014405815945297995030755
y2[1] (numeric) = 1.1809969014405815945297995030755
absolute error = 0
relative error = 0 %
Correct digits = 64
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=15.10
x[1] = 0.183
y1[1] (analytic) = 1.9833021775801795848597435813723
y1[1] (numeric) = 1.9833021775801795848597435813723
absolute error = 2e-63
relative error = 1.0084192023830646790021648775259e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1819802944444177257423277047451
y2[1] (numeric) = 1.1819802944444177257423277047451
absolute error = 1e-63
relative error = 8.4603779326967849433793680392729e-62 %
Correct digits = 64
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=15.34
x[1] = 0.184
y1[1] (analytic) = 1.9831197056650173955244761705281
y1[1] (numeric) = 1.9831197056650173955244761705281
absolute error = 2e-63
relative error = 1.0085119896125090357632655742176e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1829635054679745775611616980887
y2[1] (numeric) = 1.1829635054679745775611616980887
absolute error = 1e-63
relative error = 8.4533461546170428176605657059201e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.185
y1[1] (analytic) = 1.9829362506302314678112210986348
y1[1] (numeric) = 1.9829362506302314678112210986348
absolute error = 2e-63
relative error = 1.0086052939747030219131627448655e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1839465335280412083636988962014
y2[1] (numeric) = 1.1839465335280412083636988962014
absolute error = 1e-63
relative error = 8.4463273609163827790070831790352e-62 %
Correct digits = 64
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=15.56
x[1] = 0.186
y1[1] (analytic) = 1.9827518126592768212179870230509
y1[1] (numeric) = 1.9827518126592768212179870230509
absolute error = 1e-63
relative error = 5.0434955782932555289052230114821e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1849293776415896400023107714653
y2[1] (numeric) = 1.1849293776415896400023107714653
absolute error = 1e-63
relative error = 8.4393215230289785803631776948466e-62 %
Correct digits = 64
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=15.79
x[1] = 0.187
y1[1] (analytic) = 1.9825663919365914113295901364508
y1[1] (numeric) = 1.9825663919365914113295901364508
absolute error = 1e-63
relative error = 5.0439672742721600851999774092830e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.185912036825775840832239084182
y2[1] (numeric) = 1.185912036825775840832239084182
absolute error = 2e-63
relative error = 1.6864657224942418494625750245813e-61 %
Correct digits = 64
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=16.03
x[1] = 0.188
y1[1] (analytic) = 1.9823799886475959453797139518383
y1[1] (numeric) = 1.9823799886475959453797139518383
absolute error = 1e-63
relative error = 5.0444415587659978435164750833652e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1868945100979407085555456236643
y2[1] (numeric) = 1.1868945100979407085555456236643
absolute error = 1e-63
relative error = 8.4253486008413800719375812910399e-62 %
Correct digits = 64
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=16.26
x[1] = 0.189
y1[1] (analytic) = 1.9821926029786936968302175205875
y1[1] (numeric) = 1.9821926029786936968302175205875
absolute error = 1e-63
relative error = 5.0449184327359174196225649700244e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.187876796475611052880132617919
y2[1] (numeric) = 1.187876796475611052880132617919
absolute error = 2e-63
relative error = 1.6836762919638889436390145724594e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.19
y1[1] (analytic) = 1.9820042351172703189678775041899
y1[1] (numeric) = 1.9820042351172703189678775041899
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1888588949765005779928511529813
y2[1] (numeric) = 1.1888588949765005779928511529813
absolute error = 1e-63
relative error = 8.4114271611667284337748517832377e-62 %
Correct digits = 64
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=16.49
x[1] = 0.191
y1[1] (analytic) = 1.9818148852516936575187505029481
y1[1] (numeric) = 1.9818148852516936575187505029481
absolute error = 1e-63
relative error = 5.0458799529755192141646724860941e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1898408046185108648457151288751
y2[1] (numeric) = 1.1898408046185108648457151288751
absolute error = 1e-63
relative error = 8.4044856767256523634106192398850e-62 %
Correct digits = 64
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=16.72
x[1] = 0.192
y1[1] (analytic) = 1.9816245535713135622803430272392
y1[1] (numeric) = 1.9816245535713135622803430272392
absolute error = 1e-63
relative error = 5.0463646011944339605314656951485e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1908225244197323532542384660668
y2[1] (numeric) = 1.1908225244197323532542384660668
absolute error = 1e-63
relative error = 8.3975569784194589586562508330541e-62 %
Correct digits = 64
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=16.95
x[1] = 0.193
y1[1] (analytic) = 1.9814332402664616977717774791618
y1[1] (numeric) = 1.9814332402664616977717774791618
absolute error = 1e-63
relative error = 5.0468518427879040171790553445947e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1918040533984453238069134641578
y2[1] (numeric) = 1.1918040533984453238069134641578
absolute error = 1e-63
relative error = 8.3906410382519384791571352296920e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.194
y1[1] (analytic) = 1.9812409455284513529021434943852
y1[1] (numeric) = 1.9812409455284513529021434943852
absolute error = 1e-63
relative error = 5.0473416787440386062222919974954e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1927853905731208795848484034179
y2[1] (numeric) = 1.1927853905731208795848484034179
absolute error = 1e-63
relative error = 8.3837378283071565804740747663319e-62 %
Correct digits = 64
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=17.18
x[1] = 0.195
y1[1] (analytic) = 1.9810476695495772496572249758333
y1[1] (numeric) = 1.9810476695495772496572249758333
absolute error = 1e-63
relative error = 5.0478341100563518106182957710301e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1937665349624219276905826696054
y2[1] (numeric) = 1.1937665349624219276905826696054
absolute error = 1e-63
relative error = 8.3768473207491829835421392736617e-62 %
Correct digits = 64
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=17.41
x[1] = 0.196
y1[1] (analytic) = 1.9808534125231153508047941324606
y1[1] (numeric) = 1.9808534125231153508047941324606
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1947474855852041605850978733388
y2[1] (numeric) = 1.1947474855852041605850978733388
absolute error = 1e-63
relative error = 8.3699694878218212208719146502611e-62 %
Correct digits = 64
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=17.64
x[1] = 0.197
y1[1] (analytic) = 1.980658174643322666618664817809
y1[1] (numeric) = 1.980658174643322666618664817809
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1957282414605170372320436270931
y2[1] (numeric) = 1.1957282414605170372320436270931
absolute error = 1e-63
relative error = 8.3631043018483394546254963254876e-62 %
Correct digits = 64
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=17.88
x[1] = 0.198
y1[1] (analytic) = 1.9804619561054370606216984442784
y1[1] (numeric) = 1.9804619561054370606216984442784
absolute error = 1e-63
relative error = 5.0493269861466673912027805342671e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1967088016076047640481968356735
y2[1] (numeric) = 1.1967088016076047640481968356735
absolute error = 1e-63
relative error = 8.3562517352312023617243455969525e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.199
y1[1] (analytic) = 1.9802647571056770543479567300861
y1[1] (numeric) = 1.9802647571056770543479567300861
absolute error = 1e-63
relative error = 5.0498298089270842185846569460332e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1976891650459072756591735497928
y2[1] (numeric) = 1.1976891650459072756591735497928
absolute error = 1e-63
relative error = 8.3494117604518040811707547817558e-62 %
Correct digits = 64
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=18.11
x[1] = 0.2
y1[1] (analytic) = 1.9800665778412416311241965167482
y1[1] (numeric) = 1.9800665778412416311241965167482
absolute error = 1e-63
relative error = 5.0503352321124744441427458016855e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1986693307950612154594126271184
y2[1] (numeric) = 1.1986693307950612154594126271184
absolute error = 1e-63
relative error = 8.3425843500702022187891560514118e-62 %
Correct digits = 64
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=18.34
x[1] = 0.201
y1[1] (analytic) = 1.979867418510310038870902875571
y1[1] (numeric) = 1.979867418510310038870902875571
absolute error = 1e-63
relative error = 5.0508432567288725296492814890871e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.1996492978749009159754506408903
y2[1] (numeric) = 1.1996492978749009159754506408903
absolute error = 1e-63
relative error = 8.3357694767248529046178595911139e-62 %
Correct digits = 64
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=18.57
x[1] = 0.202
y1[1] (analytic) = 1.9796672793120415919230577021024
y1[1] (numeric) = 1.9796672793120415919230577021024
absolute error = 1e-63
relative error = 5.0513538838077484295935114727974e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2006290653054593790315076729148
y2[1] (numeric) = 1.2006290653054593790315076729148
absolute error = 1e-63
relative error = 8.3289671131323468982060201917091e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.203
y1[1] (analytic) = 1.9794661604465754718708419777594
y1[1] (numeric) = 1.9794661604465754718708419777594
absolute error = 1e-63
relative error = 5.0518671143860120647701690627003e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2016086321069692557164038254306
y2[1] (numeric) = 1.2016086321069692557164038254306
absolute error = 1e-63
relative error = 8.3221772320871467370947083987644e-62 %
Correct digits = 64
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=18.80
x[1] = 0.204
y1[1] (analytic) = 1.979264062115030527420470857911
y1[1] (numeric) = 1.979264062115030527420470857911
absolute error = 1e-63
relative error = 5.0523829495060178203690986772325e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2025879972998638261508264850126
y2[1] (numeric) = 1.2025879972998638261508264850126
absolute error = 1e-63
relative error = 8.3153998064613249237849037529034e-62 %
Correct digits = 64
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=19.04
x[1] = 0.205
y1[1] (analytic) = 1.9790609845195050732753617255673
y1[1] (numeric) = 1.9790609845195050732753617255673
absolute error = 2e-63
relative error = 1.0105802780431138137199397852764e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2035671599047779790539685713266
y2[1] (numeric) = 1.2035671599047779790539685713266
absolute error = 1e-63
relative error = 8.3086348092043031465190342989922e-62 %
Correct digits = 64
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=19.27
x[1] = 0.206
y1[1] (analytic) = 1.9788569278630766880378363294873
y1[1] (numeric) = 1.9788569278630766880378363294873
absolute error = 1e-63
relative error = 5.0534224375679227158840410350437e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2045461189425491911085582041808
y2[1] (numeric) = 1.2045461189425491911085582041808
absolute error = 1e-63
relative error = 8.3018822133425925292263592528837e-62 %
Correct digits = 64
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=19.50
x[1] = 0.207
y1[1] (analytic) = 1.9786518923498020111315591049884
y1[1] (numeric) = 1.9786518923498020111315591049884
absolute error = 2e-63
relative error = 1.0107892185243587549305425424064e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2055248734342185061233004239223
y2[1] (numeric) = 1.2055248734342185061233004239223
absolute error = 1e-63
relative error = 8.2951419919795349060060313217877e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.208
y1[1] (analytic) = 1.9784458781847165387449147550011
y1[1] (numeric) = 1.9784458781847165387449147550011
absolute error = 1e-63
relative error = 5.0544723564413599597776305464141e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.206503422401031513991751802823
y2[1] (numeric) = 1.206503422401031513991751802823
absolute error = 1e-63
relative error = 8.2884141182950451155450825008493e-62 %
Correct digits = 64
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=19.73
x[1] = 0.209
y1[1] (analytic) = 1.9782388855738344187955291479753
y1[1] (numeric) = 1.9782388855738344187955291479753
absolute error = 1e-63
relative error = 5.0550012300962663096762573831530e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2074817648644393294466489886571
y2[1] (numeric) = 1.2074817648644393294466489886571
absolute error = 1e-63
relative error = 8.2816985655453543108918530315471e-62 %
Correct digits = 64
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=19.96
x[1] = 0.21
y1[1] (analytic) = 1.9780309147241482449161385680993
y1[1] (numeric) = 1.9780309147241482449161385680993
absolute error = 1e-63
relative error = 5.0555327146616298321218548967033e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2084598998460995706087124262276
y2[1] (numeric) = 1.2084598998460995706087124262276
absolute error = 2e-63
relative error = 1.6549990614125508560057056837875e-61 %
Correct digits = 64
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=20.19
x[1] = 0.211
y1[1] (analytic) = 1.9778219658436288494620133319462
y1[1] (numeric) = 1.9778219658436288494620133319462
absolute error = 2e-63
relative error = 1.0112133622436088349589191493071e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2094378263678773373289467081163
y2[1] (numeric) = 1.2094378263678773373289467081163
absolute error = 2e-63
relative error = 1.6536608632510685545418929541927e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.212
y1[1] (analytic) = 1.9776120391412250955401427641051
y1[1] (numeric) = 1.9776120391412250955401427641051
absolute error = 2e-63
relative error = 1.0113207041703168641217108529835e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2104155434518461893234592124401
y2[1] (numeric) = 1.2104155434518461893234592124401
absolute error = 2e-63
relative error = 1.6523251133213539658109738089990e-61 %
Correct digits = 64
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=20.42
x[1] = 0.213
y1[1] (analytic) = 1.9774011348268636680603895025966
y1[1] (numeric) = 1.9774011348268636680603895025966
absolute error = 2e-63
relative error = 1.0114285689307622615699579194095e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2113930501202891240998188928769
y2[1] (numeric) = 1.2113930501202891240998188928769
absolute error = 2e-63
relative error = 1.6509918063351970210824317720078e-61 %
Correct digits = 64
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=20.65
x[1] = 0.214
y1[1] (analytic) = 1.9771892531114488638088220829006
y1[1] (numeric) = 1.9771892531114488638088220829006
absolute error = 1e-63
relative error = 5.0576847837217769751609305891541e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.212370345395699554673977294682
y2[1] (numeric) = 1.212370345395699554673977294682
absolute error = 2e-63
relative error = 1.6496609370193972386039914295831e-61 %
Correct digits = 64
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=20.89
x[1] = 0.215
y1[1] (analytic) = 1.9769763942068623805434357272442
y1[1] (numeric) = 1.9769763942068623805434357272442
absolute error = 2e-63
relative error = 1.0116458678316057462815735007728e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2133474283007822870767740798571
y2[1] (numeric) = 1.2133474283007822870767740798571
absolute error = 2e-63
relative error = 1.6483325001157135850064361716106e-61 %
Correct digits = 64
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=21.12
x[1] = 0.216
y1[1] (analytic) = 1.9767625583259631051124722434151
y1[1] (numeric) = 1.9767625583259631051124722434151
absolute error = 2e-63
relative error = 1.0117553024141228700928703672682e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2143242978584544976490495550473
y2[1] (numeric) = 1.2143242978584544976490495550473
absolute error = 2e-63
relative error = 1.6470064903808145334964121956092e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.217
y1[1] (analytic) = 1.9765477456825869005955509147589
y1[1] (numeric) = 1.9765477456825869005955509147589
absolute error = 2e-63
relative error = 1.0118652607146173581901004223682e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2153009530918467101243869071349
y2[1] (numeric) = 1.2153009530918467101243869071349
absolute error = 2e-63
relative error = 1.6456829025862283179576368120475e-61 %
Correct digits = 64
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=21.35
x[1] = 0.218
y1[1] (analytic) = 1.976331956491546392467823240215
y1[1] (numeric) = 1.976331956491546392467823240215
absolute error = 3e-63
relative error = 1.5179636144353527122884231703399e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2162773930243037724985070638691
y2[1] (numeric) = 1.2162773930243037724985070638691
absolute error = 2e-63
relative error = 1.6443617315182933820853548044979e-61 %
Correct digits = 64
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=21.58
x[1] = 0.219
y1[1] (analytic) = 1.9761151909686307537873653602166
y1[1] (numeric) = 1.9761151909686307537873653602166
absolute error = 2e-63
relative error = 1.0120867493658917975644486127470e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2172536166793858336843393102186
y2[1] (numeric) = 1.2172536166793858336843393102186
absolute error = 1e-63
relative error = 8.2152148598905451134164379831120e-62 %
Correct digits = 64
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=21.82
x[1] = 0.22
y1[1] (analytic) = 1.9758974493306054894060229810447
y1[1] (numeric) = 1.9758974493306054894060229810447
absolute error = 2e-63
relative error = 1.0121982801676068625812844845242e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.218229623080869319951791005457
y2[1] (numeric) = 1.218229623080869319951791005457
absolute error = 1e-63
relative error = 8.2086330939074311312834820545944e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.221
y1[1] (analytic) = 1.9756787317952122192039245867742
y1[1] (numeric) = 1.9756787317952122192039245867742
absolute error = 2e-63
relative error = 1.0123103355891714823107367380511e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2192054112527479111512399612945
y2[1] (numeric) = 1.2192054112527479111512399612945
absolute error = 1e-63
relative error = 8.2020633337944934901976631121688e-62 %
Correct digits = 64
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=22.05
x[1] = 0.222
y1[1] (analytic) = 1.9754590385811684603478797042797
y1[1] (numeric) = 1.9754590385811684603478797042797
absolute error = 3e-63
relative error = 1.5186343737882241014374965521155e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.220180980219233516719773257642
y2[1] (numeric) = 1.220180980219233516719773257642
absolute error = 1e-63
relative error = 8.1955055537771704129898813201985e-62 %
Correct digits = 64
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=22.28
x[1] = 0.223
y1[1] (analytic) = 1.975238369908167408573879962885
y1[1] (numeric) = 1.975238369908167408573879962885
absolute error = 3e-63
relative error = 1.5188040318088169328694454765957e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.221156329004757251469196489853
y2[1] (numeric) = 1.221156329004757251469196489853
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=373.8MB, alloc=4.5MB, time=22.51
x[1] = 0.224
y1[1] (analytic) = 1.9750167259968777184939216661375
y1[1] (numeric) = 1.9750167259968777184939216661375
absolute error = 3e-63
relative error = 1.5189744777912036102524695630854e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2221314566339704111548376595133
y2[1] (numeric) = 1.2221314566339704111548376595133
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=377.6MB, alloc=4.5MB, time=22.75
x[1] = 0.225
y1[1] (analytic) = 1.9747941070689432829273695688655
y1[1] (numeric) = 1.9747941070689432829273695688655
absolute error = 3e-63
relative error = 1.5191457120827154196910822761719e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2231063621317454478241701400572
y2[1] (numeric) = 1.2231063621317454478241701400572
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.226
y1[1] (analytic) = 1.9745705133469830112570825281373
y1[1] (numeric) = 1.9745705133469830112570825281373
absolute error = 3e-63
relative error = 1.5193177350323485546966564428403e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2240810445231769449442793686679
y2[1] (numeric) = 1.2240810445231769449442793686679
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=381.4MB, alloc=4.5MB, time=22.97
x[1] = 0.227
y1[1] (analytic) = 1.9743459450545906068105226719777
y1[1] (numeric) = 1.9743459450545906068105226719777
absolute error = 3e-63
relative error = 1.5194905469907656375777250573221e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2250555028335825923071981370765
y2[1] (numeric) = 1.2250555028335825923071981370765
absolute error = 1e-63
relative error = 8.1628954580994587813416469006427e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=385.2MB, alloc=4.5MB, time=23.21
x[1] = 0.228
y1[1] (analytic) = 1.9741204024163343432660707047136
y1[1] (numeric) = 1.9741204024163343432660707047136
absolute error = 3e-63
relative error = 1.5196641483102972484391758614060e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2260297360885041607121355760063
y2[1] (numeric) = 1.2260297360885041607121355760063
absolute error = 1e-63
relative error = 8.1564090214514371820517977508299e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=389.1MB, alloc=4.5MB, time=23.44
x[1] = 0.229
y1[1] (analytic) = 1.9738938856577568400847709426156
y1[1] (numeric) = 1.9738938856577568400847709426156
absolute error = 3e-63
relative error = 1.5198385393449434618018567766031e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2270037433137084764236251511138
y2[1] (numeric) = 1.2270037433137084764236251511138
absolute error = 1e-63
relative error = 8.1499343865027610601654918276592e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.23
y1[1] (analytic) = 1.9736663950053748369677306480716
y1[1] (numeric) = 1.9736663950053748369677306480716
absolute error = 2e-63
relative error = 1.0133424803002502605694466155771e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2279775235351883954046172123601
y2[1] (numeric) = 1.2279775235351883954046172123601
absolute error = 1e-63
relative error = 8.1434715280547594680014245338871e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=392.9MB, alloc=4.5MB, time=23.67
x[1] = 0.231
y1[1] (analytic) = 1.9734379306866789673393992048733
y1[1] (numeric) = 1.9734379306866789673393992048733
absolute error = 3e-63
relative error = 1.5201896919839367393472927554989e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2289510757791637773235418638014
y2[1] (numeric) = 1.2289510757791637773235418638014
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=396.7MB, alloc=4.5MB, time=23.90
x[1] = 0.232
y1[1] (analytic) = 1.9732084929301335308569536513194
y1[1] (numeric) = 1.9732084929301335308569536513194
absolute error = 2e-63
relative error = 1.0135776362030969074304838438328e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2299243990720824593343681468164
y2[1] (numeric) = 1.2299243990720824593343681468164
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=400.5MB, alloc=4.5MB, time=24.13
x[1] = 0.233
y1[1] (analytic) = 1.9729780819651762649460180617296
y1[1] (numeric) = 1.9729780819651762649460180617296
absolute error = 3e-63
relative error = 1.5205440077731948274449272820353e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2308974924406212296286857567934
y2[1] (numeric) = 1.2308974924406212296286857567934
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=404.3MB, alloc=4.5MB, time=24.36
x[1] = 0.234
y1[1] (analytic) = 1.972746698022218115362945240631
y1[1] (numeric) = 1.972746698022218115362945240631
absolute error = 2e-63
relative error = 1.0138149018346373344452380491164e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2318703549116868007588357412751
y2[1] (numeric) = 1.2318703549116868007588357412751
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.235
y1[1] (analytic) = 1.9725143413326430057838901673172
y1[1] (numeric) = 1.9725143413326430057838901673172
absolute error = 3e-63
relative error = 1.5209014896049786220523118239982e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2328429855124167827311168565134
y2[1] (numeric) = 1.2328429855124167827311168565134
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=408.1MB, alloc=4.5MB, time=24.59
x[1] = 0.236
y1[1] (analytic) = 1.9722810121288076064209056016861
y1[1] (numeric) = 1.9722810121288076064209056016861
absolute error = 3e-63
relative error = 1.5210814186979928919409970007020e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2338153832701806558680944893074
y2[1] (numeric) = 1.2338153832701806558680944893074
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=411.9MB, alloc=4.5MB, time=24.82
x[1] = 0.237
y1[1] (analytic) = 1.9720467106440411016652912352422
y1[1] (numeric) = 1.9720467106440411016652912352422
absolute error = 3e-63
relative error = 1.5212621403984110777863412689140e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2347875472125807434390392818975
y2[1] (numeric) = 1.2347875472125807434390392818975
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=415.8MB, alloc=4.5MB, time=25.06
x[1] = 0.238
y1[1] (analytic) = 1.9718114371126449567584287438953
y1[1] (numeric) = 1.9718114371126449567584287438953
absolute error = 3e-63
relative error = 1.5214436550753291148821213450251e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2357594763674531840575228295574
y2[1] (numeric) = 1.2357594763674531840575228295574
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.239
y1[1] (analytic) = 1.9715751917698926834903360717
y1[1] (numeric) = 1.9715751917698926834903360717
absolute error = 2e-63
relative error = 1.0144173087330188138893513884029e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2367311697628689038451980533704
y2[1] (numeric) = 1.2367311697628689038451980533704
absolute error = 1e-63
relative error = 8.0858316216913996885635553740268e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=419.6MB, alloc=4.5MB, time=25.29
x[1] = 0.24
y1[1] (analytic) = 1.9713379748520296049261752469634
y1[1] (numeric) = 1.9713379748520296049261752469634
absolute error = 2e-63
relative error = 1.0145393765623176778542390773090e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2377026264271345883607920844898
y2[1] (numeric) = 1.2377026264271345883607920844898
absolute error = 1e-63
relative error = 8.0794851578096049324790437368210e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=423.4MB, alloc=4.5MB, time=25.52
x[1] = 0.241
y1[1] (analytic) = 1.9710997865962726191609490041922
y1[1] (numeric) = 1.9710997865962726191609490041922
absolute error = 2e-63
relative error = 1.0146619737875537709214063752816e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2386738453887936542933397309712
y2[1] (numeric) = 1.2386738453887936542933397309712
absolute error = 1e-63
relative error = 8.0731501978724758113465788051300e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=427.2MB, alloc=4.5MB, time=25.76
x[1] = 0.242
y1[1] (analytic) = 1.9708606272408099621026224571645
y1[1] (numeric) = 1.9708606272408099621026224571645
absolute error = 2e-63
relative error = 1.0147851006592916417158350712173e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2396448256766272209186858340254
y2[1] (numeric) = 1.2396448256766272209186858340254
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.243
y1[1] (analytic) = 1.9706204970248009692839070399837
y1[1] (numeric) = 1.9706204970248009692839070399837
absolute error = 2e-63
relative error = 1.0149087574292237147480708264353e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2406155663196550813182850572693
y2[1] (numeric) = 1.2406155663196550813182850572693
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
memory used=431.0MB, alloc=4.5MB, time=25.99
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.244
y1[1] (analytic) = 1.9703793961883758367029449043108
y1[1] (numeric) = 1.9703793961883758367029449043108
absolute error = 2e-63
relative error = 1.0150329443501713919804827026083e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2415860663471366733593278902572
y2[1] (numeric) = 1.2415860663471366733593278902572
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=434.8MB, alloc=4.5MB, time=26.22
x[1] = 0.245
y1[1] (analytic) = 1.9701373249726353806931329320715
y1[1] (numeric) = 1.9701373249726353806931329320715
absolute error = 2e-63
relative error = 1.0151576616760861596022071478151e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2425563247885720504352218862454
y2[1] (numeric) = 1.2425563247885720504352218862454
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=438.6MB, alloc=4.5MB, time=26.46
x[1] = 0.246
y1[1] (analytic) = 1.9698942836196507968223264937931
y1[1] (numeric) = 1.9698942836196507968223264937931
absolute error = 2e-63
relative error = 1.0152829096620507000211544638658e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2435263406737028519654573937924
y2[1] (numeric) = 1.2435263406737028519654573937924
absolute error = 1e-63
relative error = 8.0416471070345959937535564108912e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=442.5MB, alloc=4.5MB, time=26.69
x[1] = 0.247
y1[1] (analytic) = 1.9696502723724634178216640533481
y1[1] (numeric) = 1.9696502723724634178216640533481
absolute error = 3e-63
relative error = 1.5231130328464200136222467098124e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2444961130325132736538872824077
y2[1] (numeric) = 1.2444961130325132736538872824077
absolute error = 1e-63
relative error = 8.0353806615213939761327330866800e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.248
y1[1] (analytic) = 1.9694052914750844705442546902599
y1[1] (numeric) = 1.9694052914750844705442546902599
absolute error = 3e-63
relative error = 1.5233024979601837777726603455311e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2454656408952310375044504040511
y2[1] (numeric) = 1.2454656408952310375044504040511
absolute error = 1e-63
relative error = 8.0291255508358123816822147229312e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=446.3MB, alloc=4.5MB, time=26.91
x[1] = 0.249
y1[1] (analytic) = 1.9691593411724948319539715808613
y1[1] (numeric) = 1.9691593411724948319539715808613
absolute error = 3e-63
relative error = 1.5234927602220918354531462720655e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2464349232923283615933687748403
y2[1] (numeric) = 1.2464349232923283615933687748403
absolute error = 1e-63
relative error = 8.0228817510873643280029416368127e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=450.1MB, alloc=4.5MB, time=27.14
x[1] = 0.25
y1[1] (analytic) = 1.9689124217106447841445954494942
y1[1] (numeric) = 1.9689124217106447841445954494942
absolute error = 4e-63
relative error = 2.0315784266954296325647536656929e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2474039592545229295968487048494
y2[1] (numeric) = 1.2474039592545229295968487048494
absolute error = 2e-63
relative error = 1.6033298476904351319729627552716e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=453.9MB, alloc=4.5MB, time=27.38
x[1] = 0.251
y1[1] (analytic) = 1.9686645333364537683895529705847
y1[1] (numeric) = 1.9686645333364537683895529705847
absolute error = 4e-63
relative error = 2.0318342369996776460535474981511e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2483727478127788600733163483794
y2[1] (numeric) = 1.2483727478127788600733163483794
absolute error = 2e-63
relative error = 1.6020855978345534116759712823372e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.252
y1[1] (analytic) = 1.9684156762978101382224960718362
y1[1] (numeric) = 1.9684156762978101382224960718362
absolute error = 4e-63
relative error = 2.0320911117326534972861051086718e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2493412879983076754992183925443
y2[1] (numeric) = 1.2493412879983076754992183925443
absolute error = 2e-63
relative error = 1.6008435959115673977784047081222e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=457.7MB, alloc=4.5MB, time=27.61
TOP MAIN SOLVE Loop
x[1] = 0.253
y1[1] (analytic) = 1.9681658508435709115489690579392
y1[1] (numeric) = 1.9681658508435709115489690579392
absolute error = 4e-63
relative error = 2.0323490514204224497176351504752e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2503095788425692710574188484538
y2[1] (numeric) = 1.2503095788425692710574188484538
absolute error = 2e-63
relative error = 1.5996038371964090967819263503975e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=461.5MB, alloc=4.5MB, time=27.84
x[1] = 0.254
y1[1] (analytic) = 1.9679150572235615217894114431114
y1[1] (numeric) = 1.9679150572235615217894114431114
absolute error = 4e-63
relative error = 2.0326080565913303287800516366753e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2512776193772728831772231566772
y2[1] (numeric) = 1.2512776193772728831772231566772
absolute error = 2e-63
relative error = 1.5983663169771597514849081394658e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=465.4MB, alloc=4.5MB, time=28.07
x[1] = 0.255
y1[1] (analytic) = 1.9676632956885755680537453494437
y1[1] (numeric) = 1.9676632956885755680537453494437
absolute error = 4e-63
relative error = 2.0328681277760058405410682795086e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.252245408634378057825061067043
y2[1] (numeric) = 1.252245408634378057825061067043
absolute error = 2e-63
relative error = 1.5971310305550069293960441021086e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=469.2MB, alloc=4.5MB, time=28.31
x[1] = 0.256
y1[1] (analytic) = 1.9674105664903745643477972964435
y1[1] (numeric) = 1.9674105664903745643477972964435
absolute error = 5e-63
relative error = 2.5414115818842036262120426525043e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2532129456460956185448600021744
y2[1] (numeric) = 1.2532129456460956185448600021744
absolute error = 2e-63
relative error = 1.5958979732442017759737544168630e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.257
y1[1] (analytic) = 1.967156869881687687811805175334
y1[1] (numeric) = 1.967156869881687687811805175334
absolute error = 4e-63
relative error = 2.0333914703206029758254021045806e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2541802294448886342471408644664
y2[1] (numeric) = 1.2541802294448886342471408644664
absolute error = 2e-63
relative error = 1.5946671403720164319709587306428e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=473.0MB, alloc=4.5MB, time=28.54
x[1] = 0.258
y1[1] (analytic) = 1.9669022061162115259912621695806
y1[1] (numeric) = 1.9669022061162115259912621695806
absolute error = 4e-63
relative error = 2.0336547427532174311900084834138e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2551472590634733867458684974902
y2[1] (numeric) = 1.2551472590634733867458684974902
absolute error = 2e-63
relative error = 1.5934385272787016141683434474845e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=476.8MB, alloc=4.5MB, time=28.77
x[1] = 0.259
y1[1] (analytic) = 1.9666465754486098231403503507787
y1[1] (numeric) = 1.9666465754486098231403503507787
absolute error = 4e-63
relative error = 2.0339190833449898946580274997391e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.256114033534820338042089265054
y2[1] (numeric) = 1.256114033534820338042089265054
absolute error = 2e-63
relative error = 1.5922121293174443587827743505565e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=480.6MB, alloc=4.5MB, time=29.00
x[1] = 0.26
y1[1] (analytic) = 1.9663899781345132255582176464501
y1[1] (numeric) = 1.9663899781345132255582176464501
absolute error = 4e-63
relative error = 2.0341844926379986272055523907798e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2570805518921550973533884643652
y2[1] (numeric) = 1.2570805518921550973533884643652
absolute error = 2e-63
relative error = 1.5909879418543259268410133148851e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.261
y1[1] (analytic) = 1.9661324144305190259583528434479
y1[1] (numeric) = 1.9661324144305190259583528434479
absolute error = 5e-63
relative error = 2.5430637139707736321930509182986e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2580468131689593878882005439147
y2[1] (numeric) = 1.2580468131689593878882005439147
absolute error = 3e-63
relative error = 2.3846489404024198062185791891622e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=484.4MB, alloc=4.5MB, time=29.23
TOP MAIN SOLVE Loop
x[1] = 0.262
y1[1] (analytic) = 1.9658738845941909068713142575752
y1[1] (numeric) = 1.9658738845941909068713142575752
absolute error = 5e-63
relative error = 2.5433981493844067705629365431245e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2590128163989720133640053518554
y2[1] (numeric) = 1.2590128163989720133640053518554
absolute error = 3e-63
relative error = 2.3828192699265753926962764822421e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=488.2MB, alloc=4.5MB, time=29.46
x[1] = 0.263
y1[1] (analytic) = 1.9656143888840586830810686666655
y1[1] (numeric) = 1.9656143888840586830810686666655
absolute error = 5e-63
relative error = 2.5437339227246183233409629660903e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2599785606161898242684438967593
y2[1] (numeric) = 1.2599785606161898242684438967593
absolute error = 3e-63
relative error = 2.3809928944607251148605514413011e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=492.1MB, alloc=4.5MB, time=29.70
x[1] = 0.264
y1[1] (analytic) = 1.9653539275596180430951980707674
y1[1] (numeric) = 1.9653539275596180430951980707674
absolute error = 5e-63
relative error = 2.5440710346805091997442136319088e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2609440448548686838623873597158
y2[1] (numeric) = 1.2609440448548686838623873597158
absolute error = 3e-63
relative error = 2.3791698071307296157013476454546e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=495.9MB, alloc=4.5MB, time=29.93
x[1] = 0.265
y1[1] (analytic) = 1.9650925008813302896492328092017
y1[1] (numeric) = 1.9650925008813302896492328092017
absolute error = 4e-63
relative error = 2.0355275887552509007150199182737e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2619092681495244339239933547858
y2[1] (numeric) = 1.2619092681495244339239933547858
absolute error = 3e-63
relative error = 2.3773500010814787730436788397214e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.266
y1[1] (analytic) = 1.9648301091106220792453705301393
y1[1] (numeric) = 1.9648301091106220792453705301393
absolute error = 5e-63
relative error = 2.5447492772101521902099776737449e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2628742295349338602327836938334
y2[1] (numeric) = 1.2628742295349338602327836938334
absolute error = 3e-63
relative error = 2.3755334694768299932269674142742e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=499.7MB, alloc=4.5MB, time=30.16
x[1] = 0.267
y1[1] (analytic) = 1.9645667525098851607258414739579
y1[1] (numeric) = 1.9645667525098851607258414739579
absolute error = 5e-63
relative error = 2.5450904091765349023148004792941e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2638389280461356577927781717389
y2[1] (numeric) = 1.2638389280461356577927781717389
absolute error = 3e-63
relative error = 2.3737202054995467404239267372787e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=503.5MB, alloc=4.5MB, time=30.39
x[1] = 0.268
y1[1] (analytic) = 1.9643024313424761128811814969892
y1[1] (numeric) = 1.9643024313424761128811814969892
absolute error = 5e-63
relative error = 2.5454328825438642654647492715863e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2648033627184313957937191489395
y2[1] (numeric) = 1.2648033627184313957937191489395
absolute error = 3e-63
relative error = 2.3719102023512373005752950860677e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=507.3MB, alloc=4.5MB, time=30.62
x[1] = 0.269
y1[1] (analytic) = 1.9640371458727160810936752273647
y1[1] (numeric) = 1.9640371458727160810936752273647
absolute error = 5e-63
relative error = 2.5457766980156883625376401751925e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.265767532587386482309421970154
y2[1] (numeric) = 1.265767532587386482309421970154
absolute error = 3e-63
relative error = 2.3701034532522937789217377546025e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.27
y1[1] (analytic) = 1.9637708963658905130162327094922
y1[1] (numeric) = 1.9637708963658905130162327094922
absolute error = 5e-63
relative error = 2.5461218562984539555968223009324e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2667314366888311287322865210205
y2[1] (numeric) = 1.2667314366888311287322865210205
absolute error = 3e-63
relative error = 2.3682999514418313301192155511595e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=511.1MB, alloc=4.5MB, time=30.85
TOP MAIN SOLVE Loop
x[1] = 0.271
y1[1] (analytic) = 1.9635036830882488932869638582654
y1[1] (numeric) = 1.9635036830882488932869638582654
absolute error = 5e-63
relative error = 2.5464683581015095990564891704676e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.267695074058861313943005488217
y2[1] (numeric) = 1.267695074058861313943005488217
absolute error = 3e-63
relative error = 2.3664996901776276199290725013613e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=514.9MB, alloc=4.5MB, time=31.08
x[1] = 0.272
y1[1] (analytic) = 1.9632355063070044772797160084106
y1[1] (numeric) = 1.9632355063070044772797160084106
absolute error = 5e-63
relative error = 2.5468162041371087664718388727432e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2686584437338397482145051534362
y2[1] (numeric) = 1.2686584437338397482145051534362
absolute error = 3e-63
relative error = 2.3647026627360625174790232993860e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=518.8MB, alloc=4.5MB, time=31.31
x[1] = 0.273
y1[1] (analytic) = 1.9629663662903340238908408084099
y1[1] (numeric) = 1.9629663662903340238908408084099
absolute error = 4e-63
relative error = 2.0377323160963303927823639733887e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2696215447503968368491548173544
y2[1] (numeric) = 1.2696215447503968368491548173544
absolute error = 3e-63
relative error = 2.3629088624120580170961220647309e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=522.6MB, alloc=4.5MB, time=31.54
x[1] = 0.274
y1[1] (analytic) = 1.9626962633073775273624576722117
y1[1] (numeric) = 1.9626962633073775273624576722117
absolute error = 5e-63
relative error = 2.5475159317694950194013923143370e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2705843761454316435482812164654
y2[1] (numeric) = 1.2705843761454316435482812164654
absolute error = 2e-63
relative error = 1.5740788550126789258117789483576e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.275
y1[1] (analytic) = 1.9624251976282379481424819654439
y1[1] (numeric) = 1.9624251976282379481424819654439
absolute error = 5e-63
relative error = 2.5478678148053419800685644789235e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2715469369561128535130245633453
y2[1] (numeric) = 1.2715469369561128535130245633453
absolute error = 3e-63
relative error = 2.3593309163887705558908549904110e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=526.4MB, alloc=4.5MB, time=31.77
x[1] = 0.276
y1[1] (analytic) = 1.9621531695239809427816870660775
y1[1] (numeric) = 1.9621531695239809427816870660775
absolute error = 5e-63
relative error = 2.5482210449518585643351420606979e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2725092262198797362755731095714
y2[1] (numeric) = 1.2725092262198797362755731095714
absolute error = 3e-63
relative error = 2.3575467573715047003767821811216e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=530.2MB, alloc=4.5MB, time=32.00
x[1] = 0.277
y1[1] (analytic) = 1.9618801792666345928680704024572
y1[1] (numeric) = 1.9618801792666345928680704024572
absolute error = 5e-63
relative error = 2.5485756229358702218607843606409e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2734712429744431082598134001431
y2[1] (numeric) = 1.2734712429744431082598134001431
absolute error = 2e-63
relative error = 1.5705105325571433949195079830698e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=534.0MB, alloc=4.5MB, time=32.23
x[1] = 0.278
y1[1] (analytic) = 1.9616062271291891329987945343101
y1[1] (numeric) = 1.9616062271291891329987945343101
absolute error = 5e-63
relative error = 2.5489315494871263696536400723670e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2744329862577862950704336588324
y2[1] (numeric) = 1.2744329862577862950704336588324
absolute error = 2e-63
relative error = 1.5693253561120940969490680864461e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.279
y1[1] (analytic) = 1.9613313133855966777899753047686
y1[1] (numeric) = 1.9613313133855966777899753047686
absolute error = 5e-63
relative error = 2.5492888253383036149091662967470e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2753944551081660935095180154421
y2[1] (numeric) = 1.2753944551081660935095180154421
absolute error = 2e-63
relative error = 1.5681423045158057966102042330944e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=537.8MB, alloc=4.5MB, time=32.45
x[1] = 0.28
y1[1] (analytic) = 1.9610554383107709479245900535965
y1[1] (numeric) = 1.9610554383107709479245900535965
absolute error = 5e-63
relative error = 2.5496474512250089916679290593291e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2763556485641137333196695584578
y2[1] (numeric) = 1.2763556485641137333196695584578
absolute error = 1e-63
relative error = 7.8348068669182383313778144673925e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=541.6MB, alloc=4.5MB, time=32.69
x[1] = 0.281
y1[1] (analytic) = 1.9607786021805869952387798436879
y1[1] (numeric) = 1.9607786021805869952387798436879
absolute error = 5e-63
relative error = 2.5500074278857832113171626867913e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2773165656644358386527004700495
y2[1] (numeric) = 1.2773165656644358386527004700495
absolute error = 1e-63
relative error = 7.8289127917151765455244621802331e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=545.5MB, alloc=4.5MB, time=32.92
x[1] = 0.282
y1[1] (analytic) = 1.9605008052718809268468206145129
y1[1] (numeric) = 1.9605008052718809268468206145129
absolute error = 5e-63
relative error = 2.5503687560621039269609798673796e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2782772054482153892629277748141
y2[1] (numeric) = 1.2782772054482153892629277748141
absolute error = 1e-63
relative error = 7.8230292751669602746422761883865e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=549.3MB, alloc=4.5MB, time=33.15
x[1] = 0.283
y1[1] (analytic) = 1.9602220478624496283050391375165
y1[1] (numeric) = 1.9602220478624496283050391375165
absolute error = 5e-63
relative error = 2.5507314364983890116842389829768e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2792375669548126814241135090431
y2[1] (numeric) = 1.2792375669548126814241135090431
absolute error = 1e-63
relative error = 7.8171562955305520134741600665039e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.284
y1[1] (analytic) = 1.9599423302310504858149506095312
y1[1] (numeric) = 1.9599423302310504858149506095312
absolute error = 5e-63
relative error = 2.5510954699419998507351903585939e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2801976492238662885690883936544
y2[1] (numeric) = 1.2801976492238662885690883936544
absolute error = 2e-63
relative error = 1.5622587662245136088519680073538e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=553.1MB, alloc=4.5MB, time=33.38
x[1] = 0.285
y1[1] (analytic) = 1.959661652657401107465895681044
y1[1] (numeric) = 1.959661652657401107465895681044
absolute error = 5e-63
relative error = 2.5514608571432446476521384301528e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2811574512952940216510983712452
y2[1] (numeric) = 1.2811574512952940216510983712452
absolute error = 2e-63
relative error = 1.5610883720638174210333724146702e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=556.9MB, alloc=4.5MB, time=33.61
x[1] = 0.286
y1[1] (analytic) = 1.9593800154221790435174556766546
y1[1] (numeric) = 1.9593800154221790435174556766546
absolute error = 5e-63
relative error = 2.5518275988553817443594724849202e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2821169722092938892259136459998
y2[1] (numeric) = 1.2821169722092938892259136459998
absolute error = 3e-63
relative error = 2.3398801084666379346366414634740e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=560.7MB, alloc=4.5MB, time=33.84
x[1] = 0.287
y1[1] (analytic) = 1.9590974188070215057219257252902
y1[1] (numeric) = 1.9590974188070215057219257252902
absolute error = 4e-63
relative error = 2.0417565566676983642068276658784e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2830762110063450572537401444227
y2[1] (numeric) = 1.2830762110063450572537401444227
absolute error = 3e-63
relative error = 2.3381307939978355862801908264671e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.288
y1[1] (analytic) = 1.9588138630945250856871264776764
y1[1] (numeric) = 1.9588138630945250856871264776764
absolute error = 4e-63
relative error = 2.0420521190721095322711276142949e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2840351667272088086199735950659
y2[1] (numeric) = 1.2840351667272088086199735950659
absolute error = 3e-63
relative error = 2.3363846082553166869828605826206e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=564.5MB, alloc=4.5MB, time=34.06
x[1] = 0.289
y1[1] (analytic) = 1.9585293485682454722798360482323
y1[1] (numeric) = 1.9585293485682454722798360482323
absolute error = 4e-63
relative error = 2.0423487669072419538686705999068e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2849938384129295023738367065761
y2[1] (numeric) = 1.2849938384129295023738367065761
absolute error = 3e-63
relative error = 2.3346415448226901370363467667159e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=568.3MB, alloc=4.5MB, time=34.29
x[1] = 0.29
y1[1] (analytic) = 1.9582438755126971680701247779319
y1[1] (numeric) = 1.9582438755126971680701247779319
absolute error = 4e-63
relative error = 2.0426465007851695303676584578209e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2859522251048355326839402055044
y2[1] (numeric) = 1.2859522251048355326839402055044
absolute error = 3e-63
relative error = 2.3329015973011198128668599195765e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=572.2MB, alloc=4.5MB, time=34.53
x[1] = 0.291
y1[1] (analytic) = 1.9579574442133532048168763737751
y1[1] (numeric) = 1.9579574442133532048168763737751
absolute error = 3e-63
relative error = 1.5322089909902547919335659896696e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.286910325844540287509808778398
y2[1] (numeric) = 1.286910325844540287509808778398
absolute error = 3e-63
relative error = 2.3311647593092684557800997038450e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=576.0MB, alloc=4.5MB, time=34.76
x[1] = 0.292
y1[1] (analytic) = 1.9576700549566448579947799393226
y1[1] (numeric) = 1.9576700549566448579947799393226
absolute error = 3e-63
relative error = 1.5324339218471822057345107037895e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.287868139673943106988413246727
y2[1] (numeric) = 1.287868139673943106988413246727
absolute error = 3e-63
relative error = 2.3294310244832417721955628822039e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.293
y1[1] (analytic) = 1.9573817080299613603630783692788
y1[1] (numeric) = 1.9573817080299613603630783692788
absolute error = 3e-63
relative error = 1.5326596686240614604509210100261e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2888256656352302415347505881947
y2[1] (numeric) = 1.2888256656352302415347505881947
absolute error = 3e-63
relative error = 2.3277003864765327444639146079393e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=579.8MB, alloc=4.5MB, time=34.98
x[1] = 0.294
y1[1] (analytic) = 1.9570924037216496145763595393507
y1[1] (numeric) = 1.9570924037216496145763595393507
absolute error = 3e-63
relative error = 1.5328862317870809504345334171237e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2897829027708758096555137039305
y2[1] (numeric) = 1.2897829027708758096555137039305
absolute error = 3e-63
relative error = 2.3259728389599661513655282612399e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=583.6MB, alloc=4.5MB, time=35.22
x[1] = 0.295
y1[1] (analytic) = 1.9568021423210139048376776805681
y1[1] (numeric) = 1.9568021423210139048376776805681
absolute error = 3e-63
relative error = 1.5331136118042174613047478024981e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2907398501236427554748931179768
y2[1] (numeric) = 1.2907398501236427554748931179768
absolute error = 3e-63
relative error = 2.3242483756216432973926509102756e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=587.4MB, alloc=4.5MB, time=35.44
x[1] = 0.296
y1[1] (analytic) = 1.9565109241183156075942932849186
y1[1] (numeric) = 1.9565109241183156075942932849186
absolute error = 3e-63
relative error = 1.5333418091452382466744909649301e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.291696506736583805971553083346
y2[1] (numeric) = 1.291696506736583805971553083346
absolute error = 3e-63
relative error = 2.3225269901668869499219800219625e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.297
y1[1] (analytic) = 1.9562187494047729012763208465347
y1[1] (numeric) = 1.9562187494047729012763208465347
absolute error = 3e-63
relative error = 1.5335708242817031134296608263261e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2926528716530424279258248577527
y2[1] (numeric) = 1.2926528716530424279258248577527
absolute error = 3e-63
relative error = 2.3208086763181864833887424306241e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=591.2MB, alloc=4.5MB, time=35.67
x[1] = 0.298
y1[1] (analytic) = 1.9559256184725604750785746997598
y1[1] (numeric) = 1.9559256184725604750785746997598
absolute error = 3e-63
relative error = 1.5338006576869665155782098744003e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2936089439166537845761602019079
y2[1] (numeric) = 1.2936089439166537845761602019079
absolute error = 3e-63
relative error = 2.3190934278151432295776489297913e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=595.1MB, alloc=4.5MB, time=35.90
x[1] = 0.299
y1[1] (analytic) = 1.9556315316148092367859041722236
y1[1] (numeric) = 1.9556315316148092367859041722236
absolute error = 3e-63
relative error = 1.5340313098361796566849982402912e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2945647225713456919838884439998
y2[1] (numeric) = 1.2945647225713456919838884439998
absolute error = 3e-63
relative error = 2.3173812384144160331503573186049e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=598.9MB, alloc=4.5MB, time=36.14
x[1] = 0.3
y1[1] (analytic) = 1.955336489125606019642310227568
y1[1] (numeric) = 1.955336489125606019642310227568
absolute error = 3e-63
relative error = 1.5342627812062926009086187991170e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.295520206661339575105320745685
y2[1] (numeric) = 1.295520206661339575105320745685
absolute error = 4e-63
relative error = 3.0875628025195560153777512590110e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=602.7MB, alloc=4.5MB, time=36.37
x[1] = 0.301
y1[1] (analytic) = 1.9550404912999932882641367286816
y1[1] (numeric) = 1.9550404912999932882641367286816
absolute error = 3e-63
relative error = 1.5344950722760563926564688682576e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2964753952311514235702454975658
y2[1] (numeric) = 1.2964753952311514235702454975658
absolute error = 4e-63
relative error = 3.0852880160420100243920718258134e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.302
y1[1] (analytic) = 1.9547435384339688435976304082261
y1[1] (numeric) = 1.9547435384339688435976304082261
absolute error = 2e-63
relative error = 1.0231521223506834565829436390901e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2974302873255927471658590657366
y2[1] (numeric) = 1.2974302873255927471658590657366
absolute error = 4e-63
relative error = 3.0830172835299257455176605211428e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=606.5MB, alloc=4.5MB, time=36.60
x[1] = 0.303
y1[1] (analytic) = 1.9544456308244855269211645888734
y1[1] (numeric) = 1.9544456308244855269211645888734
absolute error = 2e-63
relative error = 1.0233080769590389173249824062857e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2983848819897715310251764055494
y2[1] (numeric) = 1.2983848819897715310251764055494
absolute error = 4e-63
relative error = 3.0807505967491012128852078363260e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=610.3MB, alloc=4.5MB, time=36.83
x[1] = 0.304
y1[1] (analytic) = 1.9541467687694509228924226510006
y1[1] (numeric) = 1.9541467687694509228924226510006
absolute error = 2e-63
relative error = 1.0234645789985485036719934049461e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.2993391782690931905189663542671
y2[1] (numeric) = 1.2993391782690931905189663542671
absolute error = 3e-63
relative error = 2.3088659606157891840133979043570e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=614.1MB, alloc=4.5MB, time=37.06
x[1] = 0.305
y1[1] (analytic) = 1.9538469525677270616408382006383
y1[1] (numeric) = 1.9538469525677270616408382006383
absolute error = 2e-63
relative error = 1.0236216287931964388852652396623e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3002931752092615258502567107484
y2[1] (numeric) = 1.3002931752092615258502567107484
absolute error = 3e-63
relative error = 2.3071719956672061035679115874089e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.306
y1[1] (analytic) = 1.9535461825191301199055898452054
y1[1] (numeric) = 1.9535461825191301199055898452054
absolute error = 2e-63
relative error = 1.0237792266681747518077862344481e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3012468718562796763504545077395
y2[1] (numeric) = 1.3012468718562796763504545077395
absolute error = 3e-63
relative error = 2.3054810465906307148332559576093e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=617.9MB, alloc=4.5MB, time=37.29
x[1] = 0.307
y1[1] (analytic) = 1.9532444589244301212194494390107
y1[1] (numeric) = 1.9532444589244301212194494390107
absolute error = 1e-63
relative error = 5.1196868647494236233558366378331e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3022002672564510744761271807312
y2[1] (numeric) = 1.3022002672564510744761271807312
absolute error = 3e-63
relative error = 2.3037931072772463056698593442944e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=621.8MB, alloc=4.5MB, time=37.52
x[1] = 0.308
y1[1] (analytic) = 1.9529417820853506351387836146492
y1[1] (numeric) = 1.9529417820853506351387836146492
absolute error = 1e-63
relative error = 5.1204803398296917336268456405931e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.30315336045638039950549063668
y2[1] (numeric) = 1.30315336045638039950549063668
absolute error = 2e-63
relative error = 1.5347387810898751793492924172776e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=625.6MB, alloc=4.5MB, time=37.74
x[1] = 0.309
y1[1] (analytic) = 1.9526381523045684755200093702652
y1[1] (numeric) = 1.9526381523045684755200093702652
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3041061505029745309336505261852
y2[1] (numeric) = 1.3041061505029745309336505261852
absolute error = 2e-63
relative error = 1.5336174890584094422138900216280e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=629.4MB, alloc=4.5MB, time=37.98
x[1] = 0.31
y1[1] (analytic) = 1.9523335698857133978428054362022
y1[1] (numeric) = 1.9523335698857133978428054362022
absolute error = 1e-63
relative error = 5.1220755275879339656289087204656e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.305058636443443501565643323959
y2[1] (numeric) = 1.305058636443443501565643323959
absolute error = 2e-63
relative error = 1.5324981913842709791236870292999e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.311
y1[1] (analytic) = 1.9520280351333677955803820978034
y1[1] (numeric) = 1.9520280351333677955803820978034
absolute error = 1e-63
relative error = 5.1228772435723614773779875479121e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3060108173253014503063241246284
y2[1] (numeric) = 1.3060108173253014503063241246284
absolute error = 2e-63
relative error = 1.5313808840389103587729026405876e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=633.2MB, alloc=4.5MB, time=38.20
x[1] = 0.312
y1[1] (analytic) = 1.9517215483530663956171131040662
y1[1] (numeric) = 1.9517215483530663956171131040662
absolute error = 1e-63
relative error = 5.1236817098414287561152445723889e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3069626921963675746461483640617
y2[1] (numeric) = 1.3069626921963675746461483640617
absolute error = 2e-63
relative error = 1.5302655630046901620572396967394e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=637.0MB, alloc=4.5MB, time=38.43
x[1] = 0.313
y1[1] (analytic) = 1.9514141098512959527138342444951
y1[1] (numeric) = 1.9514141098512959527138342444951
absolute error = 1e-63
relative error = 5.1244889280635734687171030518764e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3079142601047670828418949805147
y2[1] (numeric) = 1.3079142601047670828418949805147
absolute error = 2e-63
relative error = 1.5291522242748505412285425810324e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=640.8MB, alloc=4.5MB, time=38.67
x[1] = 0.314
y1[1] (analytic) = 1.9511057199354949430211141288279
y1[1] (numeric) = 1.9511057199354949430211141288279
absolute error = 1e-63
relative error = 5.1252988999133310406023157435977e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3088655200989321457913788349557
y2[1] (numeric) = 1.3088655200989321457913788349557
absolute error = 2e-63
relative error = 1.5280408638534749074007722069920e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.315
y1[1] (analytic) = 1.9507963789140532566408036563392
y1[1] (numeric) = 1.9507963789140532566408036563392
absolute error = 1e-63
relative error = 5.1261116270713421292661180597211e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.309816471227602848601200515934
y2[1] (numeric) = 1.309816471227602848601200515934
absolute error = 1e-63
relative error = 7.6346573887772787293190850112657e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=644.6MB, alloc=4.5MB, time=38.89
x[1] = 0.316
y1[1] (analytic) = 1.9504860870963118892361716131461
y1[1] (numeric) = 1.9504860870963118892361716131461
absolute error = 1e-63
relative error = 5.1269271112243601273849199863454e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3107671125398281418465819613222
y2[1] (numeric) = 1.3107671125398281418465819613222
absolute error = 1e-63
relative error = 7.6291203100323027933212614033775e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=648.5MB, alloc=4.5MB, time=39.13
x[1] = 0.317
y1[1] (analytic) = 1.9501748447925626326909347873552
y1[1] (numeric) = 1.9501748447925626326909347873552
absolute error = 1e-63
relative error = 5.1277453540652586955497252956420e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3117174430849667925223366371764
y2[1] (numeric) = 1.3117174430849667925223366371764
absolute error = 1e-63
relative error = 7.6235930632144896695737007448016e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=652.3MB, alloc=4.5MB, time=39.36
x[1] = 0.318
y1[1] (analytic) = 1.9498626523140477648174919429938
y1[1] (numeric) = 1.9498626523140477648174919429938
absolute error = 1e-63
relative error = 5.1285663572930393246867186166925e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3126674619126883346840233228225
y2[1] (numeric) = 1.3126674619126883346840233228225
absolute error = 1e-63
relative error = 7.6180756285594187064816409857003e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=656.1MB, alloc=4.5MB, time=39.59
x[1] = 0.319
y1[1] (analytic) = 1.9495495099729597381146719444671
y1[1] (numeric) = 1.9495495099729597381146719444671
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3136171680729740197783328610944
y2[1] (numeric) = 1.3136171680729740197783328610944
absolute error = 1e-63
relative error = 7.6125679863560372661022887717638e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.32
y1[1] (analytic) = 1.9492354180824408675753072737661
y1[1] (numeric) = 1.9492354180824408675753072737661
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3145665606161177666617575434171
y2[1] (numeric) = 1.3145665606161177666617575434171
absolute error = 2e-63
relative error = 1.5214140233892985911200315312248e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=659.9MB, alloc=4.5MB, time=39.82
x[1] = 0.321
y1[1] (analytic) = 1.9489203769565830175439451328269
y1[1] (numeric) = 1.9489203769565830175439451328269
absolute error = 1e-63
relative error = 5.1310459463797655864086548699288e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3155156385927271113065931111435
y2[1] (numeric) = 1.3155156385927271113065931111435
absolute error = 2e-63
relative error = 1.5203164001451932963414160964007e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=663.7MB, alloc=4.5MB, time=40.05
x[1] = 0.322
y1[1] (analytic) = 1.9486043869104272876250092733052
y1[1] (numeric) = 1.9486043869104272876250092733052
absolute error = 1e-63
relative error = 5.1318780082679123275411788310757e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3164644010537241561933236672222
y2[1] (numeric) = 1.3164644010537241561933236672222
absolute error = 2e-63
relative error = 1.5192207236285010251117669252258e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=667.5MB, alloc=4.5MB, time=40.28
x[1] = 0.323
y1[1] (analytic) = 1.948287448259963697641726645576
y1[1] (numeric) = 1.948287448259963697641726645576
absolute error = 1e-63
relative error = 5.1327128391301328095434949482723e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3174128470503465193884401058919
y2[1] (numeric) = 1.3174128470503465193884401058919
absolute error = 2e-63
relative error = 1.5181269899393713670585627907506e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.324
y1[1] (analytic) = 1.9479695613221308716461339080079
y1[1] (numeric) = 1.9479695613221308716461339080079
absolute error = 1e-63
relative error = 5.1335504407023559860939506776209e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3183609756341482833067429826609
y2[1] (numeric) = 1.3183609756341482833067429826609
absolute error = 2e-63
relative error = 1.5170351951884609867607221180523e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=671.3MB, alloc=4.5MB, time=40.51
x[1] = 0.325
y1[1] (analytic) = 1.9476507264148157209804797864775
y1[1] (numeric) = 1.9476507264148157209804797864775
absolute error = 1e-63
relative error = 5.1343908147266924143531441751977e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3193087858570009431571810623496
y2[1] (numeric) = 1.3193087858570009431571810623496
absolute error = 2e-63
relative error = 1.5159453354969006878131466688213e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=675.2MB, alloc=4.5MB, time=40.73
x[1] = 0.326
y1[1] (analytic) = 1.9473309438568531263903402226954
y1[1] (numeric) = 1.9473309438568531263903402226954
absolute error = 1e-63
relative error = 5.1352339629514420570161916841406e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3202562767710943550712770994355
y2[1] (numeric) = 1.3202562767710943550712770994355
absolute error = 2e-63
relative error = 1.5148574069962625988889976402355e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=679.0MB, alloc=4.5MB, time=40.97
x[1] = 0.327
y1[1] (analytic) = 1.9470102139680256191897641982033
y1[1] (numeric) = 1.9470102139680256191897641982033
absolute error = 1e-63
relative error = 5.1360798871311021145895862127575e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3212034474289376839131927223542
y2[1] (numeric) = 1.3212034474289376839131927223542
absolute error = 2e-63
relative error = 1.5137714058285274812864560258483e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=682.8MB, alloc=4.5MB, time=41.20
x[1] = 0.328
y1[1] (analytic) = 1.9466885370690630614787690688678
y1[1] (numeric) = 1.9466885370690630614787690688678
absolute error = 1e-63
relative error = 5.1369285890263748879536475244040e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3221502968833603507704846117713
y2[1] (numeric) = 1.3221502968833603507704846117713
absolute error = 2e-63
relative error = 1.5126873281460521574491529715767e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.329
y1[1] (analytic) = 1.9463659134816423254135051923513
y1[1] (numeric) = 1.9463659134816423254135051923513
absolute error = 2e-63
relative error = 1.0275560140808351342543646780058e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3230968241875129801246044821467
y2[1] (numeric) = 1.3230968241875129801246044821467
absolute error = 2e-63
relative error = 1.5116051701115370599518769414536e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=686.6MB, alloc=4.5MB, time=41.43
x[1] = 0.33
y1[1] (analytic) = 1.9460423435283869715294105783662
y1[1] (numeric) = 1.9460423435283869715294105783662
absolute error = 2e-63
relative error = 1.0277268666075281350616725445343e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3240430283948683467001956961702
y2[1] (numeric) = 1.3240430283948683467001956961702
absolute error = 2e-63
relative error = 1.5105249278979939004455728596918e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=690.4MB, alloc=4.5MB, time=41.66
x[1] = 0.331
y1[1] (analytic) = 1.9457178275328669261176772385331
y1[1] (numeric) = 1.9457178275328669261176772385331
absolute error = 2e-63
relative error = 1.0278982757412269962432285246578e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3249889085592223219922396628531
y2[1] (numeric) = 1.3249889085592223219922396628531
absolute error = 2e-63
relative error = 1.5094465976887134580580440914117e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=694.2MB, alloc=4.5MB, time=41.89
x[1] = 0.332
y1[1] (analytic) = 1.9453923658195981576553518593481
y1[1] (numeric) = 1.9453923658195981576553518593481
absolute error = 2e-63
relative error = 1.0280702418390521049713387045234e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3259344637346948204701054922043
y2[1] (numeric) = 1.3259344637346948204701054922043
absolute error = 2e-63
relative error = 1.5083701756772334867491512372673e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.333
y1[1] (analytic) = 1.9450659587140423522893943681328
y1[1] (numeric) = 1.9450659587140423522893943681328
absolute error = 2e-63
relative error = 1.0282427652593728223429459015549e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3268796929757307454575567025243
y2[1] (numeric) = 1.3268796929757307454575567025243
absolute error = 2e-63
relative error = 1.5072956580673067411216723198650e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=698.1MB, alloc=4.5MB, time=42.12
x[1] = 0.334
y1[1] (analytic) = 1.9447386065426065883750189078808
y1[1] (numeric) = 1.9447386065426065883750189078808
absolute error = 2e-63
relative error = 1.0284158463618090924939509157173e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3278245953371009346877691003853
y2[1] (numeric) = 1.3278245953371009346877691003853
absolute error = 2e-63
relative error = 1.5062230410728691201913471045363e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=701.9MB, alloc=4.5MB, time=42.35
x[1] = 0.335
y1[1] (analytic) = 1.9444103096326430100686426826321
y1[1] (numeric) = 1.9444103096326430100686426826321
absolute error = 2e-63
relative error = 1.0285894855072330578575159981283e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3287691698739031055324142783622
y2[1] (numeric) = 1.3287691698739031055324142783622
absolute error = 2e-63
relative error = 1.5051523209180079286219740954841e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=705.7MB, alloc=4.5MB, time=42.59
x[1] = 0.336
y1[1] (analytic) = 1.9440810683124484999757690804005
y1[1] (numeric) = 1.9440810683124484999757690804005
absolute error = 2e-63
relative error = 1.0287636830577706805789706026807e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3297134156415627999038635015058
y2[1] (numeric) = 1.3297134156415627999038635015058
absolute error = 2e-63
relative error = 1.5040834938369302549337622519063e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.337
y1[1] (analytic) = 1.943750882911264350854132425743
y1[1] (numeric) = 1.943750882911264350854132425743
absolute error = 2e-63
relative error = 1.0289384393768033700999926731881e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3306573316958343288295670804365
y2[1] (numeric) = 1.3306573316958343288295670804365
absolute error = 2e-63
relative error = 1.5030165560739314661954607482877e-61 %
Correct digits = 64
h = 0.001
memory used=709.5MB, alloc=4.5MB, time=42.82
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.338
y1[1] (analytic) = 1.9434197537592759363724326587988
y1[1] (numeric) = 1.9434197537592759363724326587988
absolute error = 2e-63
relative error = 1.0291137548289696169247920586904e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.331600917092801716697664656756
y2[1] (numeric) = 1.331600917092801716697664656756
absolute error = 2e-63
relative error = 1.5019515038833638187130992290765e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=713.3MB, alloc=4.5MB, time=43.05
x[1] = 0.339
y1[1] (analytic) = 1.9430876811876123809249891820363
y1[1] (numeric) = 1.9430876811876123809249891820363
absolute error = 2e-63
relative error = 1.0292896297801666325810761436946e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.332544170888879645172882155245
y2[1] (numeric) = 1.332544170888879645172882155245
absolute error = 2e-63
relative error = 1.5008883335296051842304680504275e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=717.1MB, alloc=4.5MB, time=43.28
x[1] = 0.34
y1[1] (analytic) = 1.9427546655283462285026440600266
y1[1] (numeric) = 1.9427546655283462285026440600266
absolute error = 2e-63
relative error = 1.0294660645975519957886314289830e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3334870921408143967817714870308
y2[1] (numeric) = 1.3334870921408143967817714870308
absolute error = 2e-63
relative error = 1.4998270412870278911587530301459e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=720.9MB, alloc=4.5MB, time=43.51
x[1] = 0.341
y1[1] (analytic) = 1.9424207071144931106202457013121
y1[1] (numeric) = 1.9424207071144931106202457013121
absolute error = 2e-63
relative error = 1.0296430596495453048484086029302e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.334429679905684798166349418561
y2[1] (numeric) = 1.334429679905684798166349418561
absolute error = 1e-63
relative error = 7.4938381171998384017750615526212e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.342
y1[1] (analytic) = 1.9420858062800114133010450948603
y1[1] (numeric) = 1.9420858062800114133010450948603
absolute error = 2e-63
relative error = 1.0298206153058298362650526037499e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3353719332409031630051923528251
y2[1] (numeric) = 1.3353719332409031630051923528251
absolute error = 2e-63
relative error = 1.4977100762826927749714441461204e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=724.8MB, alloc=4.5MB, time=43.74
x[1] = 0.343
y1[1] (analytic) = 1.9417499633598019431183376166772
y1[1] (numeric) = 1.9417499633598019431183376166772
absolute error = 2e-63
relative error = 1.0299987319373542096158732904701e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.336313851204216234601044101807
y2[1] (numeric) = 1.336313851204216234601044101807
absolute error = 2e-63
relative error = 1.4966543961193730638996438279217e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=728.6MB, alloc=4.5MB, time=43.97
x[1] = 0.344
y1[1] (analytic) = 1.9414131786897075922946843649114
y1[1] (numeric) = 1.9414131786897075922946843649114
absolute error = 2e-63
relative error = 1.0301774099163340586793066154481e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3372554328537061281339940626387
y2[1] (numeric) = 1.3372554328537061281339940626387
absolute error = 2e-63
relative error = 1.4956005792640493983362856146134e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=732.4MB, alloc=4.5MB, time=44.20
x[1] = 0.345
y1[1] (analytic) = 1.9410754526065130028590479241997
y1[1] (numeric) = 1.9410754526065130028590479241997
absolute error = 3e-63
relative error = 1.5455349744243805632539559369138e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.338196677247791272579283544357
y2[1] (numeric) = 1.338196677247791272579283544357
absolute error = 1e-63
relative error = 7.4727431102030150049944576410941e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.346
y1[1] (analytic) = 1.9407367854479442298621784020909
y1[1] (numeric) = 1.9407367854479442298621784020909
absolute error = 3e-63
relative error = 1.5458046771178017911332128061013e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3391375834452273522887983275334
y2[1] (numeric) = 1.3391375834452273522887983275334
absolute error = 1e-63
relative error = 7.4674926039136249376128162608871e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=736.2MB, alloc=4.5MB, time=44.43
TOP MAIN SOLVE Loop
x[1] = 0.347
y1[1] (analytic) = 1.9403971775526684036505865221322
y1[1] (numeric) = 1.9403971775526684036505865221322
absolute error = 3e-63
relative error = 1.5460752235188049205732988661498e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3400781505051082482353058753646
y2[1] (numeric) = 1.3400781505051082482353058753646
absolute error = 2e-63
relative error = 1.4924502718338859995707562115486e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=740.0MB, alloc=4.5MB, time=44.66
x[1] = 0.348
y1[1] (analytic) = 1.9400566292602933911994414996185
y1[1] (numeric) = 1.9400566292602933911994414996185
absolute error = 3e-63
relative error = 1.5463466141933407428499557065045e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3410183774868669789184959520651
y2[1] (numeric) = 1.3410183774868669789184959520651
absolute error = 2e-63
relative error = 1.4914038715473059491953662836072e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=743.8MB, alloc=4.5MB, time=44.89
x[1] = 0.349
y1[1] (analytic) = 1.9397151409113674565047323670778
y1[1] (numeric) = 1.9397151409113674565047323670778
absolute error = 3e-63
relative error = 1.5466188497092732455334574073739e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3419582634502766409318837425973
y2[1] (numeric) = 1.3419582634502766409318837425973
absolute error = 2e-63
relative error = 1.4903593162859238739835795483690e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=747.6MB, alloc=4.5MB, time=45.13
x[1] = 0.35
y1[1] (analytic) = 1.9393727128473789200350323573037
y1[1] (numeric) = 1.9393727128473789200350323573037
absolute error = 3e-63
relative error = 1.5468919306363821759323776069646e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3428978074554513491896349069176
y2[1] (numeric) = 1.3428978074554513491896349069176
absolute error = 2e-63
relative error = 1.4893166024223679025311041078695e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.351
y1[1] (analytic) = 1.9390293454107558172432068921403
y1[1] (numeric) = 1.9390293454107558172432068921403
absolute error = 3e-63
relative error = 1.5471658575463656140659158394399e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3438370085628471768123723419896
y2[1] (numeric) = 1.3438370085628471768123723419896
absolute error = 2e-63
relative error = 1.4882757263389253297835603452322e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=751.5MB, alloc=4.5MB, time=45.35
x[1] = 0.352
y1[1] (analytic) = 1.9386850389448655561384066652863
y1[1] (numeric) = 1.9386850389448655561384066652863
absolute error = 3e-63
relative error = 1.5474406310128425551850179278516e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3447758658332630946710247658361
y2[1] (numeric) = 1.3447758658332630946710247658361
absolute error = 1e-63
relative error = 7.4361834221375640089497606210574e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=755.3MB, alloc=4.5MB, time=45.58
x[1] = 0.353
y1[1] (analytic) = 1.9383397937940145739186882470937
y1[1] (numeric) = 1.9383397937940145739186882470937
absolute error = 3e-63
relative error = 1.5477162516113555018626088068172e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3457143783278419105877775798611
y2[1] (numeric) = 1.3457143783278419105877775798611
absolute error = 1e-63
relative error = 7.4309973654482330470713820554171e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=759.1MB, alloc=4.5MB, time=45.82
x[1] = 0.354
y1[1] (analytic) = 1.9379936103034479926646055787134
y1[1] (numeric) = 1.9379936103034479926646055787134
absolute error = 3e-63
relative error = 1.5479927199193730656733399878736e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3466525451080712081931868085672
y2[1] (numeric) = 1.3466525451080712081931868085672
absolute error = 1e-63
relative error = 7.4258204436820654527672634859767e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.355
y1[1] (analytic) = 1.937646488819349274094116661967
y1[1] (numeric) = 1.937646488819349274094116661967
absolute error = 2e-63
relative error = 1.0321800243441950523222253115787e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3475903652357842854385172596347
y2[1] (numeric) = 1.3475903652357842854385172596347
absolute error = 1e-63
relative error = 7.4206526389421957020593323774096e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=762.9MB, alloc=4.5MB, time=46.05
TOP MAIN SOLVE Loop
x[1] = 0.356
y1[1] (analytic) = 1.9372984296888398733791506900099
y1[1] (numeric) = 1.9372984296888398733791506900099
absolute error = 3e-63
relative error = 1.5485482019834427133705242136050e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3485278377731610927623663921003
y2[1] (numeric) = 1.3485278377731610927623663921003
absolute error = 1e-63
relative error = 7.4154939333793141469246147036120e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=766.7MB, alloc=4.5MB, time=46.27
x[1] = 0.357
y1[1] (analytic) = 1.9369494332599788920241818021889
y1[1] (numeric) = 1.9369494332599788920241818021889
absolute error = 2e-63
relative error = 1.0325514779360574101307746385946e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3494649617827291709106357260919
y2[1] (numeric) = 1.3494649617827291709106357260919
absolute error = 1e-63
relative error = 7.4103443091915206405304905189074e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=770.5MB, alloc=4.5MB, time=46.50
x[1] = 0.358
y1[1] (analytic) = 1.9365994998817627298071565844923
y1[1] (numeric) = 1.9365994998817627298071565844923
absolute error = 2e-63
relative error = 1.0327380545756146938989132361893e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3504017363273645884089119742243
y2[1] (numeric) = 1.3504017363273645884089119742243
absolute error = 2e-63
relative error = 1.4810407497248357392140546966743e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=774.3MB, alloc=4.5MB, time=46.73
x[1] = 0.359
y1[1] (analytic) = 1.9362486299041247357831233746357
y1[1] (numeric) = 1.9362486299041247357831233746357
absolute error = 1e-63
relative error = 5.1646259914952966972614255545853e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3513381604702928786863204223547
y2[1] (numeric) = 1.3513381604702928786863204223547
absolute error = 1e-63
relative error = 7.4000722339697701769922982988877e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.36
y1[1] (analytic) = 1.9358968236779348583509123681247
y1[1] (numeric) = 1.9358968236779348583509123681247
absolute error = 2e-63
relative error = 1.0331129094991116404338563250505e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3522742332750899768499134359207
y2[1] (numeric) = 1.3522742332750899768499134359207
absolute error = 1e-63
relative error = 7.3949497475677505164259935311848e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=778.2MB, alloc=4.5MB, time=46.96
x[1] = 0.361
y1[1] (analytic) = 1.935544081554999294383216458587
y1[1] (numeric) = 1.935544081554999294383216458587
absolute error = 2e-63
relative error = 1.0333011885697882844851770700870e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.353209953805683156108657317552
y2[1] (numeric) = 1.353209953805683156108657317552
absolute error = 1e-63
relative error = 7.3898362718044044636186575628954e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=782.0MB, alloc=4.5MB, time=47.19
x[1] = 0.362
y1[1] (analytic) = 1.9351904038880601374204236822605
y1[1] (numeric) = 1.9351904038880601374204236822605
absolute error = 2e-63
relative error = 1.0334900359064041393400399859078e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3541453211263519638460810920458
y2[1] (numeric) = 1.3541453211263519638460810920458
absolute error = 1e-63
relative error = 7.3847317891127023552068427466706e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=785.8MB, alloc=4.5MB, time=47.42
x[1] = 0.363
y1[1] (analytic) = 1.9348357910307950249285530727796
y1[1] (numeric) = 1.9348357910307950249285530727796
absolute error = 2e-63
relative error = 1.0336794519055740454361042829195e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3550803343017291573406511461367
y2[1] (numeric) = 1.3550803343017291573406511461367
absolute error = 1e-63
relative error = 7.3796362819721569091563875066927e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.364
y1[1] (analytic) = 1.9344802433378167846216466682912
y1[1] (numeric) = 1.9344802433378167846216466682912
absolute error = 1e-63
relative error = 5.1693471848260730752932765618677e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3560149923968016391329360027619
y2[1] (numeric) = 1.3560149923968016391329360027619
absolute error = 1e-63
relative error = 7.3745497329086805392152184708666e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=789.6MB, alloc=4.5MB, time=47.65
TOP MAIN SOLVE Loop
x[1] = 0.365
y1[1] (analytic) = 1.9341237611646730798489713484808
y1[1] (numeric) = 1.9341237611646730798489713484808
absolute error = 2e-63
relative error = 1.0340599914845460380307269890469e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3569492944769113920386258627375
y2[1] (numeric) = 1.3569492944769113920386258627375
absolute error = 1e-63
relative error = 7.3694721244944431877330750019495e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=793.4MB, alloc=4.5MB, time=47.88
x[1] = 0.366
y1[1] (analytic) = 1.9337663448678460540473851142766
y1[1] (numeric) = 1.9337663448678460540473851142766
absolute error = 2e-63
relative error = 1.0342511158640938939638724038741e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.357883239607756413806471900903
y2[1] (numeric) = 1.357883239607756413806471900903
absolute error = 2e-63
relative error = 1.4728806878695461349424574058976e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=797.2MB, alloc=4.5MB, time=48.11
x[1] = 0.367
y1[1] (analytic) = 1.9334079948047519742592233578357
y1[1] (numeric) = 1.9334079948047519742592233578357
absolute error = 2e-63
relative error = 1.0344428105056909710839260727490e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3588168268553916514202106588722
y2[1] (numeric) = 1.3588168268553916514202106588722
absolute error = 2e-63
relative error = 1.4718687320265607121927328318846e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=801.1MB, alloc=4.5MB, time=48.34
x[1] = 0.368
y1[1] (analytic) = 1.9330487113337408737160616048967
y1[1] (numeric) = 1.9330487113337408737160616048967
absolute error = 2e-63
relative error = 1.0346350758124790916461595523606e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3597500552862299350435392325449
y2[1] (numeric) = 1.3597500552862299350435392325449
absolute error = 2e-63
relative error = 1.4708585539119513046502859893081e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.369
y1[1] (analytic) = 1.9326884948140961934887121457059
y1[1] (numeric) = 1.9326884948140961934887121457059
absolute error = 2e-63
relative error = 1.0348279121889109439542906153963e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3606829239670429116072073094816
y2[1] (numeric) = 1.3606829239670429116072073094816
absolute error = 2e-63
relative error = 1.4698501500768756478641920493443e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=804.9MB, alloc=4.5MB, time=48.57
x[1] = 0.37
y1[1] (analytic) = 1.9323273456060344232038129044909
y1[1] (numeric) = 1.9323273456060344232038129044909
absolute error = 2e-63
relative error = 1.0350213200407519209978648165456e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3616154319649619780372924691272
y2[1] (numeric) = 1.3616154319649619780372924691272
absolute error = 2e-63
relative error = 1.4688435170816023561425718019010e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=808.7MB, alloc=4.5MB, time=48.80
x[1] = 0.371
y1[1] (analytic) = 1.9319652640707047408273678308622
y1[1] (numeric) = 1.9319652640707047408273678308622
absolute error = 2e-63
relative error = 1.0352152997750819657225870982764e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3625475783474792141237255176854
y2[1] (numeric) = 1.3625475783474792141237255176854
absolute error = 2e-63
relative error = 1.4678386514954831022553258026805e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=812.5MB, alloc=4.5MB, time=49.03
x[1] = 0.372
y1[1] (analytic) = 1.9316022505701886515155990295735
y1[1] (numeric) = 1.9316022505701886515155990295735
absolute error = 1e-63
relative error = 5.1770492590014871147412004107245e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3634793621824483150281329891974
y2[1] (numeric) = 1.3634793621824483150281329891974
absolute error = 2e-63
relative error = 1.4668355498969248978613738342921e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.373
y1[1] (analytic) = 1.9312383054674996255334717777569
y1[1] (numeric) = 1.9312383054674996255334717777569
absolute error = 2e-63
relative error = 1.0356049765261128979488848682607e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.364410782538085523430064305059
y2[1] (numeric) = 1.364410782538085523430064305059
absolute error = 2e-63
relative error = 1.4658342088733624742469108851600e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=816.3MB, alloc=4.5MB, time=49.26
x[1] = 0.374
y1[1] (analytic) = 1.9308734291265827352412545110794
y1[1] (numeric) = 1.9308734291265827352412545110794
absolute error = 1e-63
relative error = 5.1790033718178156085504976163807e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3653418384829705613106714458277
y2[1] (numeric) = 1.3653418384829705613106714458277
absolute error = 2e-63
relative error = 1.4648346250212307629631058377099e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=820.1MB, alloc=4.5MB, time=49.49
x[1] = 0.375
y1[1] (analytic) = 1.9305076219123142911494767922296
y1[1] (numeric) = 1.9305076219123142911494767922296
absolute error = 1e-63
relative error = 5.1799847286250241143903498836222e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3662725290860475613729093517163
y2[1] (numeric) = 1.3662725290860475613729093517163
absolute error = 2e-63
relative error = 1.4638367949459374759535742104597e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=823.9MB, alloc=4.5MB, time=49.73
x[1] = 0.376
y1[1] (analytic) = 1.9301408841905014770426492067458
y1[1] (numeric) = 1.9301408841905014770426492067458
absolute error = 1e-63
relative error = 5.1809689551205930320770388376288e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3672028534166259980973256316519
y2[1] (numeric) = 1.3672028534166259980973256316519
absolute error = 3e-63
relative error = 2.1942610728927536771457775091131e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=827.8MB, alloc=4.5MB, time=49.96
x[1] = 0.377
y1[1] (analytic) = 1.929773216327881984172110062437
y1[1] (numeric) = 1.929773216327881984172110062437
absolute error = 2e-63
relative error = 1.0363912106759108389786289878375e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.368132810544381618432508525187
y2[1] (numeric) = 1.368132810544381618432508525187
absolute error = 3e-63
relative error = 2.1927695738882956476404710516355e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.378
y1[1] (analytic) = 1.9294046186921236445183646995176
y1[1] (numeric) = 1.9294046186921236445183646995176
absolute error = 2e-63
relative error = 1.0365892050967155410322888609807e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3690623995393573721192624268931
y2[1] (numeric) = 1.3690623995393573721192624268931
absolute error = 3e-63
relative error = 2.1912806903537759094317980915320e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=831.6MB, alloc=4.5MB, time=50.19
x[1] = 0.379
y1[1] (analytic) = 1.929035091651824063123284149087
y1[1] (numeric) = 1.929035091651824063123284149087
absolute error = 2e-63
relative error = 1.0367877747041962857148266647616e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3699916194719643416475806491373
y2[1] (numeric) = 1.3699916194719643416475806491373
absolute error = 3e-63
relative error = 2.1897944172507343780463737474140e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=835.4MB, alloc=4.5MB, time=50.42
x[1] = 0.38
y1[1] (analytic) = 1.9286646355765102494925308077246
y1[1] (numeric) = 1.9286646355765102494925308077246
absolute error = 2e-63
relative error = 1.0369869199173481044712361719667e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3709204694129826718454854663492
y2[1] (numeric) = 1.3709204694129826718454854663492
absolute error = 3e-63
relative error = 2.1883107495539667077660402456053e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=839.2MB, alloc=4.5MB, time=50.65
x[1] = 0.381
y1[1] (analytic) = 1.9282932508366382480685797257438
y1[1] (numeric) = 1.9282932508366382480685797257438
absolute error = 2e-63
relative error = 1.0371866411564993994677374269814e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3718489484335624990988058520127
y2[1] (numeric) = 1.3718489484335624990988058520127
absolute error = 3e-63
relative error = 2.1868296822514840444806748951596e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.382
y1[1] (analytic) = 1.9279209378035927677747050360532
y1[1] (numeric) = 1.9279209378035927677747050360532
absolute error = 3e-63
relative error = 1.5560804082649707942055297683214e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3727770556052248802009636886848
y2[1] (numeric) = 1.3727770556052248802009636886848
absolute error = 3e-63
relative error = 2.1853512103444729235529329093258e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=843.0MB, alloc=4.5MB, time=50.88
x[1] = 0.383
y1[1] (analytic) = 1.927547696849686810630301979607
y1[1] (numeric) = 1.927547696849686810630301979607
absolute error = 2e-63
relative error = 1.0375878134007924025360209811453e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3737047899998627208318396013306
y2[1] (numeric) = 1.3737047899998627208318396013306
absolute error = 2e-63
relative error = 1.4559168858981702080685085031044e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=846.8MB, alloc=4.5MB, time=51.11
x[1] = 0.384
y1[1] (analytic) = 1.9271735283481612994379159120923
y1[1] (numeric) = 1.9271735283481612994379159120923
absolute error = 2e-63
relative error = 1.0377892652532750755315998472171e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3746321506897417036647899351876
y2[1] (numeric) = 1.3746321506897417036647899351876
absolute error = 3e-63
relative error = 2.1824020327872487951222603613904e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=850.6MB, alloc=4.5MB, time=51.34
x[1] = 0.385
y1[1] (analytic) = 1.9267984326731847045423506047928
y1[1] (numeric) = 1.9267984326731847045423506047928
absolute error = 3e-63
relative error = 1.5569869422396645407442876304467e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3755591367475012161008867712188
y2[1] (numeric) = 1.3755591367475012161008867712188
absolute error = 3e-63
relative error = 2.1809313172049269048341432400639e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=854.5MB, alloc=4.5MB, time=51.57
x[1] = 0.386
y1[1] (analytic) = 1.9264224101998526696622290804899
y1[1] (numeric) = 1.9264224101998526696622290804899
absolute error = 2e-63
relative error = 1.0381939025473204378622598759328e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3764857472461552776294532449923
y2[1] (numeric) = 1.3764857472461552776294532449923
absolute error = 3e-63
relative error = 2.1794631771537795927098263979038e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.387
y1[1] (analytic) = 1.9260454613041876367943811528091
y1[1] (numeric) = 1.9260454613041876367943811528091
absolute error = 2e-63
relative error = 1.0383970888442764765510872279238e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3774119812590934668139668085286
y2[1] (numeric) = 1.3774119812590934668139668085286
absolute error = 2e-63
relative error = 1.4519984051335158957105126748560e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=858.3MB, alloc=4.5MB, time=51.80
x[1] = 0.388
y1[1] (analytic) = 1.9256675863631384701914327645926
y1[1] (numeric) = 1.9256675863631384701914327645926
absolute error = 3e-63
relative error = 1.5579012812205408914372720291947e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3783378378600818479024034492912
y2[1] (numeric) = 1.3783378378600818479024034492912
absolute error = 2e-63
relative error = 1.4510230692825429541062894498874e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=862.1MB, alloc=4.5MB, time=52.04
x[1] = 0.389
y1[1] (analytic) = 1.9252887857545800794129731476774
y1[1] (numeric) = 1.9252887857545800794129731476774
absolute error = 2e-63
relative error = 1.0388051988866378248442928863146e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3792633161232638970610962560513
y2[1] (numeric) = 1.3792633161232638970610962560513
absolute error = 2e-63
relative error = 1.4500494406111365431392424970309e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=865.9MB, alloc=4.5MB, time=52.27
x[1] = 0.39
y1[1] (analytic) = 1.9249090598573130414506767528811
y1[1] (numeric) = 1.9249090598573130414506767528811
absolute error = 2e-63
relative error = 1.0390101234955240921477781782336e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3801884151231614282311820978472
y2[1] (numeric) = 1.3801884151231614282311820978472
absolute error = 2e-63
relative error = 1.4490775158560721171750110187086e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.391
y1[1] (analytic) = 1.9245284090510632219277578250411
y1[1] (numeric) = 1.9245284090510632219277578250411
absolute error = 2e-63
relative error = 1.0392156284074548580674320528437e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3811131339346755186067105596679
y2[1] (numeric) = 1.3811131339346755186067105596679
absolute error = 2e-63
relative error = 1.4481072917626723965657671139031e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=869.7MB, alloc=4.5MB, time=52.50
x[1] = 0.392
y1[1] (analytic) = 1.9241468337164813953731364236214
y1[1] (numeric) = 1.9241468337164813953731364236214
absolute error = 2e-63
relative error = 1.0394217140575537770983128804075e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3820374716330874337334896568294
y2[1] (numeric) = 1.3820374716330874337334896568294
absolute error = 2e-63
relative error = 1.4471387650847815782241003269367e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=873.5MB, alloc=4.5MB, time=52.73
x[1] = 0.393
y1[1] (analytic) = 1.9237643342351428645706956146894
y1[1] (numeric) = 1.9237643342351428645706956146894
absolute error = 3e-63
relative error = 1.5594425713234520370547176288518e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3829614272940595522277432292739
y2[1] (numeric) = 1.3829614272940595522277432292739
absolute error = 2e-63
relative error = 1.4461719325847396386275359173965e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=877.3MB, alloc=4.5MB, time=52.96
x[1] = 0.394
y1[1] (analytic) = 1.9233809109895470789840104849733
y1[1] (numeric) = 1.9233809109895470789840104849733
absolute error = 3e-63
relative error = 1.5597534439793054489529210611071e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3838849999936362901136552972144
y2[1] (numeric) = 1.3838849999936362901136552972144
absolute error = 2e-63
relative error = 1.4452067910333567288784194316565e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=881.2MB, alloc=4.5MB, time=53.19
x[1] = 0.395
y1[1] (analytic) = 1.9229965643631172522569305532409
y1[1] (numeric) = 1.9229965643631172522569305532409
absolute error = 3e-63
relative error = 1.5600651897126912468938974519243e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.384808188808245024778877040654
y2[1] (numeric) = 1.384808188808245024778877040654
absolute error = 2e-63
relative error = 1.4442433372098876614456198446216e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.396
y1[1] (analytic) = 1.9226112947401999787903980783825
y1[1] (numeric) = 1.9226112947401999787903980783825
absolute error = 3e-63
relative error = 1.5603778091844540983626715637715e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3857309928146970185470724473521
y2[1] (numeric) = 1.3857309928146970185470724473521
absolute error = 2e-63
relative error = 1.4432815679020064882162144918408e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=885.0MB, alloc=4.5MB, time=53.41
x[1] = 0.397
y1[1] (analytic) = 1.9222251025060648493958856873514
y1[1] (numeric) = 1.9222251025060648493958856873514
absolute error = 2e-63
relative error = 1.0404608687049906848924796203884e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3866534110901883418665790567684
y2[1] (numeric) = 1.3866534110901883418665790567684
absolute error = 2e-63
relative error = 1.4423214799057811694870212758604e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=888.8MB, alloc=4.5MB, time=53.64
x[1] = 0.398
y1[1] (analytic) = 1.9218379880469040660258376694886
y1[1] (numeric) = 1.9218379880469040660258376694886
absolute error = 2e-63
relative error = 1.0406704479978196396209294832012e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3875754427123007961142606114002
y2[1] (numeric) = 1.3875754427123007961142606114002
absolute error = 3e-63
relative error = 2.1620446050384725002913058827198e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=892.6MB, alloc=4.5MB, time=53.87
x[1] = 0.399
y1[1] (analytic) = 1.9214499517498320555815002067615
y1[1] (numeric) = 1.9214499517498320555815002067615
absolute error = 3e-63
relative error = 1.5613209166691802776139842121795e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3884970867590028360136288117384
y2[1] (numeric) = 1.3884970867590028360136288117384
absolute error = 2e-63
relative error = 1.4404063350743881263475277573395e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.4
y1[1] (analytic) = 1.9210609940028850827985267320518
y1[1] (numeric) = 1.9210609940028850827985267320518
absolute error = 3e-63
relative error = 1.5616370377438908885809498974121e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3894183423086504916663117567957
y2[1] (numeric) = 1.3894183423086504916663117567957
absolute error = 2e-63
relative error = 1.4394512718730991513041866489731e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=896.4MB, alloc=4.5MB, time=54.10
x[1] = 0.401
y1[1] (analytic) = 1.9206711151950208622107455298569
y1[1] (numeric) = 1.9206711151950208622107455298569
absolute error = 3e-63
relative error = 1.5619540358919732997529843089742e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3903392084399882901959470388174
y2[1] (numeric) = 1.3903392084399882901959470388174
absolute error = 2e-63
relative error = 1.4384978772511734981854563887460e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=900.2MB, alloc=4.5MB, time=54.33
x[1] = 0.402
y1[1] (analytic) = 1.9202803157161181691924776156029
y1[1] (numeric) = 1.9202803157161181691924776156029
absolute error = 4e-63
relative error = 2.0830292157154696092728500327101e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3912596842321501770035778483565
y2[1] (numeric) = 1.3912596842321501770035778483565
absolute error = 2e-63
relative error = 1.4375461480462718614077560383478e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=904.0MB, alloc=4.5MB, time=54.56
x[1] = 0.403
y1[1] (analytic) = 1.9198885959569764500797938512206
y1[1] (numeric) = 1.9198885959569764500797938512206
absolute error = 3e-63
relative error = 1.5625906661030180927893440005288e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3921797687646604366336308343958
y2[1] (numeric) = 1.3921797687646604366336308343958
absolute error = 2e-63
relative error = 1.4365960811042987469680165507975e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.404
memory used=907.9MB, alloc=4.5MB, time=54.80
y1[1] (analytic) = 1.9194959563093154313711011756945
y1[1] (numeric) = 1.9194959563093154313711011756945
absolute error = 4e-63
relative error = 2.0838803993580404476490520563574e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3930994611174346132495548536135
y2[1] (numeric) = 1.3930994611174346132495548536135
absolute error = 1e-63
relative error = 7.1782383663968888389578272402075e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.405
y1[1] (analytic) = 1.9191023971657747280074487499645
y1[1] (numeric) = 1.9191023971657747280074487499645
absolute error = 3e-63
relative error = 1.5632308127125203299976488355350e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3940187603707804307182001332327
y2[1] (numeric) = 1.3940187603707804307182001332327
absolute error = 1e-63
relative error = 7.1735046071691351355951874184832e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=911.7MB, alloc=4.5MB, time=55.03
x[1] = 0.406
y1[1] (analytic) = 1.9187079189199134507329457358444
y1[1] (numeric) = 1.9187079189199134507329457358444
absolute error = 3e-63
relative error = 1.5635522063664446161108368587726e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3949376656053987123020177631507
y2[1] (numeric) = 1.3949376656053987123020177631507
absolute error = 2e-63
relative error = 1.4337558224381345895771141095329e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=915.5MB, alloc=4.5MB, time=55.26
x[1] = 0.407
y1[1] (analytic) = 1.9183125219662098125356833485036
y1[1] (numeric) = 1.9183125219662098125356833485036
absolute error = 4e-63
relative error = 2.0851659748851173631579842768138e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3958561759023842999581598252253
y2[1] (numeric) = 1.3958561759023842999581598252253
absolute error = 2e-63
relative error = 1.4328123731709340395795125715303e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=919.3MB, alloc=4.5MB, time=55.49
x[1] = 0.408
y1[1] (analytic) = 1.9179162067000607341695547415594
y1[1] (numeric) = 1.9179162067000607341695547415594
absolute error = 4e-63
relative error = 2.0855968503870890894053498565532e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3967742903432269732435608606962
y2[1] (numeric) = 1.3967742903432269732435608606962
absolute error = 2e-63
relative error = 1.4318705705189801267062552987729e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.409
y1[1] (analytic) = 1.9175189735177814487573672029263
y1[1] (numeric) = 1.9175189735177814487573672029263
absolute error = 4e-63
relative error = 2.0860289025781091620381926879681e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3976920080098123678250817707338
y2[1] (numeric) = 1.3976920080098123678250817707338
absolute error = 2e-63
relative error = 1.4309304113771244977108519614629e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=923.1MB, alloc=4.5MB, time=55.72
x[1] = 0.41
y1[1] (analytic) = 1.917120822816605105475642058277
y1[1] (numeric) = 1.917120822816605105475642058277
absolute error = 4e-63
relative error = 2.0864621323778957789226992051378e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3986093279844228935937976400511
y2[1] (numeric) = 1.3986093279844228935937976400511
absolute error = 2e-63
relative error = 1.4299918926482915148066202080604e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=926.9MB, alloc=4.5MB, time=55.95
x[1] = 0.411
y1[1] (analytic) = 1.9167217549946823723214985972821
y1[1] (numeric) = 1.9167217549946823723214985972821
absolute error = 4e-63
relative error = 2.0868965407089550871232443276104e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.3995262493497386523825113693651
y2[1] (numeric) = 1.3995262493497386523825113693651
absolute error = 2e-63
relative error = 1.4290550112434541598849566908332e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=930.8MB, alloc=4.5MB, time=56.18
x[1] = 0.412
y1[1] (analytic) = 1.9163217704510810379620192557123
y1[1] (numeric) = 1.9163217704510810379620192557123
absolute error = 4e-63
relative error = 2.0873321284965854439498901514349e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4004427711888383552855753992714
y2[1] (numeric) = 1.4004427711888383552855753992714
absolute error = 3e-63
relative error = 2.1421796461224150364799213977529e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.413
y1[1] (analytic) = 1.915920869585785612666494204004
y1[1] (numeric) = 1.915920869585785612666494204004
absolute error = 4e-63
relative error = 2.0877688966688816926075084719017e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4013588925852002395801042057875
y2[1] (numeric) = 1.4013588925852002395801042057875
absolute error = 3e-63
relative error = 2.1407792221346360760229163677442e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=934.6MB, alloc=4.5MB, time=56.41
TOP MAIN SOLVE Loop
x[1] = 0.414
y1[1] (analytic) = 1.9155190527996969283219444100102
y1[1] (numeric) = 1.9155190527996969283219444100102
absolute error = 4e-63
relative error = 2.0882068461567394524811024078968e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4022746126227029852476606464264
y2[1] (numeric) = 1.4022746126227029852476606464264
absolute error = 3e-63
relative error = 2.1393812403043070390264365404595e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=938.4MB, alloc=4.5MB, time=56.65
x[1] = 0.415
y1[1] (analytic) = 1.9151163204946317375323231603814
y1[1] (numeric) = 1.9151163204946317375323231603814
absolute error = 4e-63
relative error = 2.0886459778938594240920374400847e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4031899303856266310954996351939
y2[1] (numeric) = 1.4031899303856266310954996351939
absolute error = 3e-63
relative error = 2.1379856960458202395334204439273e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=942.2MB, alloc=4.5MB, time=56.87
x[1] = 0.416
y1[1] (analytic) = 1.9147126730733223118017969413405
y1[1] (numeric) = 1.9147126730733223118017969413405
absolute error = 5e-63
relative error = 2.6113578660209396359500345678130e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4041048449586534904764530253389
y2[1] (numeric) = 1.4041048449586534904764530253389
absolute error = 4e-63
relative error = 2.8487901130472828241965762477279e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=946.0MB, alloc=4.5MB, time=57.10
x[1] = 0.417
y1[1] (analytic) = 1.9143081109394160388025074955377
y1[1] (numeric) = 1.9143081109394160388025074955377
absolute error = 4e-63
relative error = 2.0895277918647401430058588989899e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4050193554268690666065399800501
y2[1] (numeric) = 1.4050193554268690666065399800501
absolute error = 4e-63
relative error = 2.8469358692818371479238331635249e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.418
y1[1] (analytic) = 1.9139026344974750187272177871901
y1[1] (numeric) = 1.9139026344974750187272177871901
absolute error = 4e-63
relative error = 2.0899704759799666477299669254995e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4059334608757629674793875135653
y2[1] (numeric) = 1.4059334608757629674793875135653
absolute error = 4e-63
relative error = 2.8450848573647148582576641706563e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=949.8MB, alloc=4.5MB, time=57.33
x[1] = 0.419
y1[1] (analytic) = 1.9134962441529756597272455228257
y1[1] (numeric) = 1.9134962441529756597272455228257
absolute error = 4e-63
relative error = 2.0904143461073955922021253784348e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4068471603912298203765462883469
y2[1] (numeric) = 1.4068471603912298203765462883469
absolute error = 4e-63
relative error = 2.8432370712449253345536911908622e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=953.6MB, alloc=4.5MB, time=57.56
x[1] = 0.42
y1[1] (analytic) = 1.9130889403123082724360887896657
y1[1] (numeric) = 1.9130889403123082724360887896657
absolute error = 3e-63
relative error = 1.5681445523961136296732268144971e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4077604530595701859727871580863
y2[1] (numeric) = 1.4077604530595701859727871580863
absolute error = 4e-63
relative error = 2.8413925048871490923052581195160e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=957.5MB, alloc=4.5MB, time=57.79
x[1] = 0.421
y1[1] (analytic) = 1.912680723382776663579149287984
y1[1] (numeric) = 1.912680723382776663579149287984
absolute error = 4e-63
relative error = 2.0913056481928568072155491231923e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4086733379674914720354643513158
y2[1] (numeric) = 1.4086733379674914720354643513158
absolute error = 4e-63
relative error = 2.8395511522716912727146069543221e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.422
y1[1] (analytic) = 1.9122715937725977286699595476886
y1[1] (numeric) = 1.9122715937725977286699595476886
absolute error = 4e-63
relative error = 2.0917530820549695421145875966183e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4095858142021088467170315963407
y2[1] (numeric) = 1.4095858142021088467170315963407
absolute error = 4e-63
relative error = 2.8377130073944352966946014737026e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=961.3MB, alloc=4.5MB, time=58.02
TOP MAIN SOLVE Loop
x[1] = 0.423
y1[1] (analytic) = 1.9118615518909010437933214328625
y1[1] (numeric) = 1.9118615518909010437933214328625
absolute error = 4e-63
relative error = 2.0922017057374544777025720240642e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.410497880850946151439797895052
y2[1] (numeric) = 1.410497880850946151439797895052
absolute error = 4e-63
relative error = 2.8358780642667966826434546094577e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=965.1MB, alloc=4.5MB, time=58.25
x[1] = 0.424
y1[1] (analytic) = 1.911450598147728456475764151092
y1[1] (numeric) = 1.911450598147728456475764151092
absolute error = 4e-63
relative error = 2.0926515201994542058153015598330e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4114095370019368133720100609405
y2[1] (numeric) = 1.4114095370019368133720100609405
absolute error = 5e-63
relative error = 3.5425578961445962841723573511656e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=968.9MB, alloc=4.5MB, time=58.48
x[1] = 0.425
y1[1] (analytic) = 1.9110387329540336756437308970901
y1[1] (numeric) = 1.9110387329540336756437308970901
absolute error = 4e-63
relative error = 2.0931025264029602636209701488121e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4123207817434247574943495453043
y2[1] (numeric) = 1.4123207817434247574943495453043
absolute error = 5e-63
relative error = 3.5402721992292726866163632649423e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=972.7MB, alloc=4.5MB, time=58.71
x[1] = 0.426
y1[1] (analytic) = 1.9106259567216818606699041723951
y1[1] (numeric) = 1.9106259567216818606699041723951
absolute error = 3e-63
relative error = 1.5701660439846132017147587358473e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4132316141641653182559314852307
y2[1] (numeric) = 1.4132316141641653182559314852307
absolute error = 5e-63
relative error = 3.5379904821596954924260540239171e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.427
y1[1] (analytic) = 1.910212269863449209508080734783
y1[1] (numeric) = 1.910212269863449209508080734783
absolute error = 3e-63
relative error = 1.5705060884225468030558042749903e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4141420333533261508188943174277
y2[1] (numeric) = 1.4141420333533261508188943174277
absolute error = 5e-63
relative error = 3.5357127375272213749749784027279e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=976.5MB, alloc=4.5MB, time=58.94
x[1] = 0.428
y1[1] (analytic) = 1.9097976727930225459170080424865
y1[1] (numeric) = 1.9097976727930225459170080424865
absolute error = 4e-63
relative error = 2.0944627051252599145766173567040e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.415052038400488141890668713393
y2[1] (numeric) = 1.415052038400488141890668713393
absolute error = 5e-63
relative error = 3.5334389579423365328205498307272e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=980.3MB, alloc=4.5MB, time=59.17
x[1] = 0.429
y1[1] (analytic) = 1.9093821659249989057735949693482
y1[1] (numeric) = 1.9093821659249989057735949693482
absolute error = 3e-63
relative error = 1.5711888659788817175873635833872e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4159616283956463201430150037265
y2[1] (numeric) = 1.4159616283956463201430150037265
absolute error = 4e-63
relative error = 2.8249353088276801385328619267733e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=984.2MB, alloc=4.5MB, time=59.40
x[1] = 0.43
y1[1] (analytic) = 1.9089657496748851224759104776634
y1[1] (numeric) = 1.9089657496748851224759104776634
absolute error = 3e-63
relative error = 1.5715316005595848452708833587063e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4168708024292107662169186726246
y2[1] (numeric) = 1.4168708024292107662169186726246
absolute error = 4e-63
relative error = 2.8231226115620705555107735438864e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.431
y1[1] (analytic) = 1.90854842445909741143638484568
y1[1] (numeric) = 1.90854842445909741143638484568
absolute error = 3e-63
relative error = 1.5718752333204390046336193922364e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4177795595920075223124339177373
y2[1] (numeric) = 1.4177795595920075223124339177373
absolute error = 4e-63
relative error = 2.8213130686910696534710796854595e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=988.0MB, alloc=4.5MB, time=59.63
x[1] = 0.432
y1[1] (analytic) = 1.9081301906949609536656289565175
y1[1] (numeric) = 1.9081301906949609536656289565175
absolute error = 4e-63
relative error = 2.0962930199973190527738894787800e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4186878989752795013625656856203
y2[1] (numeric) = 1.4186878989752795013625656856203
absolute error = 4e-63
relative error = 2.8195066743638303289015704945968e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=991.8MB, alloc=4.5MB, time=59.86
x[1] = 0.433
y1[1] (analytic) = 1.9077110488007094784472880646543
y1[1] (numeric) = 1.9077110488007094784472880646543
absolute error = 3e-63
relative error = 1.5725651963309446336138701042752e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4195958196706873957902810089753
y2[1] (numeric) = 1.4195958196706873957902810089753
absolute error = 3e-63
relative error = 2.1132775670584384638621952478183e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=995.6MB, alloc=4.5MB, time=60.10
x[1] = 0.434
y1[1] (analytic) = 1.9072909991954848451043473650912
y1[1] (numeric) = 1.9072909991954848451043473650912
absolute error = 4e-63
relative error = 2.0972153707469083369270827201972e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4205033207703105858477408887429
y2[1] (numeric) = 1.4205033207703105858477408887429
absolute error = 3e-63
relative error = 2.1119274810094494568556638914790e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=999.4MB, alloc=4.5MB, time=60.33
x[1] = 0.435
y1[1] (analytic) = 1.9068700422993366238573075988539
y1[1] (numeric) = 1.9068700422993366238573075988539
absolute error = 3e-63
relative error = 1.5732587609287460996514297895704e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4214104013666480475368443818927
y2[1] (numeric) = 1.4214104013666480475368443818927
absolute error = 3e-63
relative error = 2.1105797432715986281562703259737e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.436
y1[1] (analytic) = 1.9064481785332216757746498366219
y1[1] (numeric) = 1.9064481785332216757746498366219
absolute error = 3e-63
relative error = 1.5736068956818603301547354427967e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4223170605526192601101769744414
y2[1] (numeric) = 1.4223170605526192601101769744414
absolute error = 3e-63
relative error = 2.1092343495017886338080984119621e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1003.2MB, alloc=4.5MB, time=60.56
x[1] = 0.437
y1[1] (analytic) = 1.9060254083190037318160094899842
y1[1] (numeric) = 1.9060254083190037318160094899842
absolute error = 3e-63
relative error = 1.5739559330669227803062436312464e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4232232974215651131514557388264
y2[1] (numeric) = 1.4232232974215651131514557388264
absolute error = 4e-63
relative error = 2.8105217271574652210574644356858e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1007.1MB, alloc=4.5MB, time=60.79
x[1] = 0.438
y1[1] (analytic) = 1.9056017320794529709684805071144
y1[1] (numeric) = 1.9056017320794529709684805071144
absolute error = 3e-63
relative error = 1.5743058738335134558488098180184e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4241291110672488132345641952655
y2[1] (numeric) = 1.4241291110672488132345641952655
absolute error = 4e-63
relative error = 2.8087341020663371334908338420651e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1010.9MB, alloc=4.5MB, time=61.02
x[1] = 0.439
y1[1] (analytic) = 1.9051771502382455974764716165229
y1[1] (numeric) = 1.9051771502382455974764716165229
absolute error = 3e-63
relative error = 1.5746567187333970330396947642280e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.425034500583856790160270218143
y2[1] (numeric) = 1.425034500583856790160270218143
absolute error = 4e-63
relative error = 2.8069495849827800135156386976814e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.44
y1[1] (analytic) = 1.9047516632199634171655373889984
y1[1] (numeric) = 1.9047516632199634171655373889984
absolute error = 4e-63
relative error = 2.1000112913607018282813737384799e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4259394650659996027697207507799
y2[1] (numeric) = 1.4259394650659996027697207507799
absolute error = 4e-63
relative error = 2.8051681701753447261985717099476e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1014.7MB, alloc=4.5MB, time=61.25
x[1] = 0.441
y1[1] (analytic) = 1.9043252714500934128606077938682
y1[1] (numeric) = 1.9043252714500934128606077938682
absolute error = 3e-63
relative error = 1.5753611239510460370469718493733e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4268440036087128443338075151701
y2[1] (numeric) = 1.4268440036087128443338075151701
absolute error = 4e-63
relative error = 2.8033898519273102270990135071321e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1018.5MB, alloc=4.5MB, time=61.48
x[1] = 0.442
y1[1] (analytic) = 1.9038979753550273188990408313166
y1[1] (numeric) = 1.9038979753550273188990408313166
absolute error = 3e-63
relative error = 1.5757146857832958406064337073968e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4277481153074580475174983273898
y2[1] (numeric) = 1.4277481153074580475174983273898
absolute error = 4e-63
relative error = 2.8016146245366403706605456730068e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1022.3MB, alloc=4.5MB, time=61.71
x[1] = 0.443
y1[1] (analytic) = 1.9034697753620611947389237276696
y1[1] (numeric) = 1.9034697753620611947389237276696
absolute error = 3e-63
relative error = 1.5760691547778143831204143101371e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4286517992581235889182290544271
y2[1] (numeric) = 1.4286517992581235889182290544271
absolute error = 4e-63
relative error = 2.7998424823159408698290422815629e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1026.1MB, alloc=4.5MB, time=61.95
x[1] = 0.444
y1[1] (analytic) = 1.9030406718993949976630490853117
y1[1] (numeric) = 1.9030406718993949976630490853117
absolute error = 3e-63
relative error = 1.5764245316973426165930298652227e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4295550545570255931774516741134
y2[1] (numeric) = 1.4295550545570255931774516741134
absolute error = 4e-63
relative error = 2.7980734195924164062991544083474e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.445
y1[1] (analytic) = 1.9026106653961321545789932832218
y1[1] (numeric) = 1.9026106653961321545789932832218
absolute error = 4e-63
relative error = 2.1023744230757698869806489283418e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4304578803009088366644343266839
y2[1] (numeric) = 1.4304578803009088366644343266839
absolute error = 4e-63
relative error = 2.7963074307078278907936766431525e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1029.9MB, alloc=4.5MB, time=62.18
x[1] = 0.446
y1[1] (analytic) = 1.9021797562822791329157253280146
y1[1] (numeric) = 1.9021797562822791329157253280146
absolute error = 3e-63
relative error = 1.5771380123734251587623346899990e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4313602755869476507314096742436
y2[1] (numeric) = 1.4313602755869476507314096742436
absolute error = 4e-63
relative error = 2.7945445100184498727829459293856e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1033.8MB, alloc=4.5MB, time=62.41
x[1] = 0.447
y1[1] (analytic) = 1.9017479449887450106171752588427
y1[1] (numeric) = 1.9017479449887450106171752588427
absolute error = 3e-63
relative error = 1.5774961176665053275794567855062e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4322622395127468245391683130648
y2[1] (numeric) = 1.4322622395127468245391683130648
absolute error = 4e-63
relative error = 2.7927846518950280990540711806783e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1037.6MB, alloc=4.5MB, time=62.64
x[1] = 0.448
y1[1] (analytic) = 1.9013152319473410452331921125551
y1[1] (numeric) = 1.9013152319473410452331921125551
absolute error = 4e-63
relative error = 2.1038068452768721465244831164571e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4331637711763425074521944131981
y2[1] (numeric) = 1.4331637711763425074521944131981
absolute error = 4e-63
relative error = 2.7910278507227372205424271469741e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.449
y1[1] (analytic) = 1.9008816175907802421083223581184
y1[1] (numeric) = 1.9008816175907802421083223581184
absolute error = 3e-63
relative error = 1.5782150620206780207714654608859e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4340648696762031110024411903364
y2[1] (numeric) = 1.4340648696762031110024411903364
absolute error = 4e-63
relative error = 2.7892741009011386468404679918167e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1041.4MB, alloc=4.5MB, time=62.87
x[1] = 0.45
y1[1] (analytic) = 1.9004471023526769216688406114864
y1[1] (numeric) = 1.9004471023526769216688406114864
absolute error = 4e-63
relative error = 2.1047678701754767109108574991337e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4349655341112302104208442462319
y2[1] (numeric) = 1.4349655341112302104208442462319
absolute error = 4e-63
relative error = 2.7875233968441385478015250708177e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1045.2MB, alloc=4.5MB, time=63.10
x[1] = 0.451
y1[1] (analytic) = 1.9000116866675462858084653438511
y1[1] (numeric) = 1.9000116866675462858084653438511
absolute error = 3e-63
relative error = 1.5789376565687007210514817912273e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4358657635807594457356712462275
y2[1] (numeric) = 1.4358657635807594457356712462275
absolute error = 4e-63
relative error = 2.7857757329799460016588495388166e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1049.0MB, alloc=4.5MB, time=63.33
x[1] = 0.452
y1[1] (analytic) = 1.8995753709708039833731931975225
y1[1] (numeric) = 1.8995753709708039833731931975225
absolute error = 4e-63
relative error = 2.1057337661499292191276477866641e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4367655571845614224368068356284
y2[1] (numeric) = 1.4367655571845614224368068356284
absolute error = 4e-63
relative error = 2.7840311037510312890827437301936e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1052.8MB, alloc=4.5MB, time=63.56
x[1] = 0.453
y1[1] (analytic) = 1.899138155698765674745686424569
y1[1] (numeric) = 1.899138155698765674745686424569
absolute error = 4e-63
relative error = 2.1062185433940938216595143959415e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4376649140228426117050721307038
y2[1] (numeric) = 1.4376649140228426117050721307038
absolute error = 4e-63
relative error = 2.7822895036140843326011958228266e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.454
y1[1] (analytic) = 1.898700041288646595529648863792
y1[1] (numeric) = 1.898700041288646595529648863792
absolute error = 4e-63
relative error = 2.1067045415373785765343994859517e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4385638331962462502056785550742
y2[1] (numeric) = 1.4385638331962462502056785550742
absolute error = 4e-63
relative error = 2.7805509270399732808119901805960e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1056.6MB, alloc=4.5MB, time=63.79
x[1] = 0.455
y1[1] (analytic) = 1.8982610281785611193346267716233
y1[1] (numeric) = 1.8982610281785611193346267716233
absolute error = 4e-63
relative error = 2.1071917616293903497821544168950e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4394623138058532394449162281053
y2[1] (numeric) = 1.4394623138058532394449162281053
absolute error = 4e-63
relative error = 2.7788153685137032368168110410031e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1060.5MB, alloc=4.5MB, time=64.02
x[1] = 0.456
y1[1] (analytic) = 1.8978211168075223196616717221096
y1[1] (numeric) = 1.8978211168075223196616717221096
absolute error = 4e-63
relative error = 2.1076802047227306706694443724871e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4403603549531830446891775486958
y2[1] (numeric) = 1.4403603549531830446891775486958
absolute error = 5e-63
relative error = 3.4713535281679689128879874272884e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1064.3MB, alloc=4.5MB, time=64.25
x[1] = 0.457
y1[1] (analytic) = 1.8973803076154415308903036902821
y1[1] (numeric) = 1.8973803076154415308903036902821
absolute error = 4e-63
relative error = 2.1081698718730006860336118558789e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4412579557401945934454170555095
y2[1] (numeric) = 1.4412579557401945934454170555095
absolute error = 5e-63
relative error = 3.4691916045189309159503344149036e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.458
y1[1] (analytic) = 1.8969386010431279083672133319129
y1[1] (numeric) = 1.8969386010431279083672133319129
absolute error = 5e-63
relative error = 2.6358259551735076636428014815348e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.442155115269287173502149083267
y2[1] (numeric) = 1.442155115269287173502149083267
absolute error = 5e-63
relative error = 3.4670334328539772688940603171453e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1068.1MB, alloc=4.5MB, time=64.48
x[1] = 0.459
y1[1] (analytic) = 1.8964959975322879875971433709198
y1[1] (numeric) = 1.8964959975322879875971433709198
absolute error = 4e-63
relative error = 2.1091528825817623155235374388546e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.443051832643301330530085174175
y2[1] (numeric) = 1.443051832643301330530085174175
absolute error = 5e-63
relative error = 3.4648790063495368093539023580149e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1071.9MB, alloc=4.5MB, time=64.71
x[1] = 0.46
y1[1] (analytic) = 1.8960524975255252425363899035004
y1[1] (numeric) = 1.8960524975255252425363899035004
absolute error = 4e-63
relative error = 2.1096462282664991285967900434940e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4439481069655197652415136439289
y2[1] (numeric) = 1.4439481069655197652415136439289
absolute error = 5e-63
relative error = 3.4627283181994543002758864568262e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1075.7MB, alloc=4.5MB, time=64.94
x[1] = 0.461
y1[1] (analytic) = 1.895608101466339642989365325457
y1[1] (numeric) = 1.895608101466339642989365325457
absolute error = 4e-63
relative error = 2.1101408022606660571643484755458e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4448439373396682301075241429856
y2[1] (numeric) = 1.4448439373396682301075241429856
absolute error = 5e-63
relative error = 3.4605813616149399073521996410425e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.462
y1[1] (analytic) = 1.8951628097991272111086654861145
memory used=1079.5MB, alloc=4.5MB, time=65.17
y1[1] (numeric) = 1.8951628097991272111086654861145
absolute error = 4e-63
relative error = 2.1106366056349372227866953568061e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4457393228699164256321804959556
y2[1] (numeric) = 1.4457393228699164256321804959556
absolute error = 5e-63
relative error = 3.4584381298245188518383617367774e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.463
y1[1] (analytic) = 1.8947166229691795769990845687246
y1[1] (numeric) = 1.8947166229691795769990845687246
absolute error = 4e-63
relative error = 2.1111336394630164342943605752706e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.446634262660878896182745545017
y2[1] (numeric) = 1.446634262660878896182745545017
absolute error = 5e-63
relative error = 3.4562986160739812380657387269363e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1083.3MB, alloc=4.5MB, time=65.40
x[1] = 0.464
y1[1] (analytic) = 1.8942695414226835334260220933066
y1[1] (numeric) = 1.8942695414226835334260220933066
absolute error = 4e-63
relative error = 2.1116319048216422570745789506059e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4475287558176159253750621672001
y2[1] (numeric) = 1.4475287558176159253750621672001
absolute error = 5e-63
relative error = 3.4541628136263320549654836540926e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1087.2MB, alloc=4.5MB, time=65.63
x[1] = 0.465
y1[1] (analytic) = 1.8938215656067205896287273334791
y1[1] (numeric) = 1.8938215656067205896287273334791
absolute error = 3e-63
relative error = 1.5840985520929448242100650463790e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4484228014456344310131950802375
y2[1] (numeric) = 1.4484228014456344310131950802375
absolute error = 4e-63
relative error = 2.7616245726093930807384155998165e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1091.0MB, alloc=4.5MB, time=65.86
x[1] = 0.466
y1[1] (analytic) = 1.8933726959692665242388273340021
y1[1] (numeric) = 1.8933726959692665242388273340021
absolute error = 3e-63
relative error = 1.5844741008395192345017091230654e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4493163986508888595824384974118
y2[1] (numeric) = 1.4493163986508888595824384974118
absolute error = 4e-63
relative error = 2.7599218526219956650281537396031e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.467
y1[1] (analytic) = 1.8929229329591909373045856104637
y1[1] (numeric) = 1.8929229329591909373045856104637
absolute error = 3e-63
relative error = 1.5848505756703599863383319831282e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4502095465397820802947951384674
y2[1] (numeric) = 1.4502095465397820802947951384674
absolute error = 3e-63
relative error = 2.0686665641927658767071324104247e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1094.8MB, alloc=4.5MB, time=66.09
x[1] = 0.468
y1[1] (analytic) = 1.892472277026256801421339506815
y1[1] (numeric) = 1.892472277026256801421339506815
absolute error = 3e-63
relative error = 1.5852279774021635423882089030518e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4511022442191662786860325511832
y2[1] (numeric) = 1.4511022442191662786860325511832
absolute error = 4e-63
relative error = 2.7565252661795639917068446208789e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1098.6MB, alloc=4.5MB, time=66.32
x[1] = 0.469
y1[1] (analytic) = 1.8920207286211200119685650802794
y1[1] (numeric) = 1.8920207286211200119685650802794
absolute error = 3e-63
relative error = 1.5856063068539216298213091891680e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4519944907963438497634231466225
y2[1] (numeric) = 1.4519944907963438497634231466225
absolute error = 4e-63
relative error = 2.7548313890682925154765823986773e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1102.4MB, alloc=4.5MB, time=66.56
x[1] = 0.47
y1[1] (analytic) = 1.8915682881953289364540192765334
y1[1] (numeric) = 1.8915682881953289364540192765334
absolute error = 3e-63
relative error = 1.5859855648469251174013248710174e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4528862853790682907032748003964
y2[1] (numeric) = 1.4528862853790682907032748003964
absolute error = 3e-63
relative error = 2.0648553367115574478447327143951e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.471
y1[1] (analytic) = 1.8911149562013239629654100509787
y1[1] (numeric) = 1.8911149562013239629654100509787
absolute error = 3e-63
relative error = 1.5863657522047679052111163401563e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4537776270755450930973593224828
y2[1] (numeric) = 1.4537776270755450930973593224828
absolute error = 3e-63
relative error = 2.0635893303949613966102088428079e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1106.2MB, alloc=4.5MB, time=66.78
TOP MAIN SOLVE Loop
x[1] = 0.472
y1[1] (analytic) = 1.8906607330924370477300459843989
y1[1] (numeric) = 1.8906607330924370477300459843989
absolute error = 3e-63
relative error = 1.5867468697533508270439699509388e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4546685149944326347473465492483
y2[1] (numeric) = 1.4546685149944326347473465492483
absolute error = 4e-63
relative error = 2.7497673585210641334632246688272e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1110.1MB, alloc=4.5MB, time=67.01
x[1] = 0.473
y1[1] (analytic) = 1.8902056193228912617829178333128
y1[1] (numeric) = 1.8902056193228912617829178333128
absolute error = 2e-63
relative error = 1.0580859455472570436621236613382e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4555589482448430710063522633121
y2[1] (numeric) = 1.4555589482448430710063522633121
absolute error = 4e-63
relative error = 2.7480851976646639946434413170801e-61 %
Correct digits = 64
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=67.24
x[1] = 0.474
y1[1] (analytic) = 1.8897496153478003367436653469044
y1[1] (numeric) = 1.8897496153478003367436653469044
absolute error = 2e-63
relative error = 1.0583412658252657198484231683541e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4564489259363432256667085997792
y2[1] (numeric) = 1.4564489259363432256667085997792
absolute error = 4e-63
relative error = 2.7464059527033681536449884965939e-61 %
Correct digits = 64
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=67.47
x[1] = 0.475
y1[1] (analytic) = 1.8892927216231682097028835735269
y1[1] (numeric) = 1.8892927216231682097028835735269
absolute error = 2e-63
relative error = 1.0585972078914900308673707649957e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4573384471789554813930660511461
y2[1] (numeric) = 1.4573384471789554813930660511461
absolute error = 4e-63
relative error = 2.7447296183964709399079300222973e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.476
y1[1] (analytic) = 1.8888349386058885672182237704341
y1[1] (numeric) = 1.8888349386058885672182237704341
absolute error = 2e-63
relative error = 1.0588537723027085413886496889381e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4582275110831586696999366378509
y2[1] (numeric) = 1.4582275110831586696999366378509
absolute error = 4e-63
relative error = 2.7430561895165692676110983202627e-61 %
Correct digits = 64
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=67.70
x[1] = 0.477
y1[1] (analytic) = 1.8883762667537443884207449206015
y1[1] (numeric) = 1.8883762667537443884207449206015
absolute error = 3e-63
relative error = 1.5886664394258763609192599416290e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4591161167598889604727882670001
y2[1] (numeric) = 1.4591161167598889604727882670001
absolute error = 3e-63
relative error = 2.0560392456371432984306338850387e-61 %
Correct digits = 64
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=67.93
x[1] = 0.478
y1[1] (analytic) = 1.8879167065254074872319727502484
y1[1] (numeric) = 1.8879167065254074872319727502484
absolute error = 3e-63
relative error = 1.5890531555925007924804639828128e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4600042633205407510318007582506
y2[1] (numeric) = 1.4600042633205407510318007582506
absolute error = 4e-63
relative error = 2.7397180271944238329581753083646e-61 %
Correct digits = 64
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=68.17
x[1] = 0.479
y1[1] (analytic) = 1.8874562583804380536921240299613
y1[1] (numeric) = 1.8874562583804380536921240299613
absolute error = 3e-63
relative error = 1.5894408077960958142761981348860e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4608919498769675547373944731655
y2[1] (numeric) = 1.4608919498769675547373944731655
absolute error = 4e-63
relative error = 2.7380532833635433412522551624139e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.48
y1[1] (analytic) = 1.8869949227792841943999548311587
y1[1] (numeric) = 1.8869949227792841943999548311587
absolute error = 3e-63
relative error = 1.5898293968811597465539440201634e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4617791755414828891366429425886
y2[1] (numeric) = 1.4617791755414828891366429425886
absolute error = 4e-63
relative error = 2.7363914241823091137038740630205e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1132.9MB, alloc=4.6MB, time=68.40
TOP MAIN SOLVE Loop
x[1] = 0.481
y1[1] (analytic) = 1.8865327001832814720646922980094
y1[1] (numeric) = 1.8865327001832814720646922980094
absolute error = 3e-63
relative error = 1.5902189236945335401608121067258e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4626659394268611636496813457004
y2[1] (numeric) = 1.4626659394268611636496813457004
absolute error = 4e-63
relative error = 2.7347324444892600500180081511924e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1136.8MB, alloc=4.6MB, time=68.62
x[1] = 0.482
y1[1] (analytic) = 1.8860695910546524441705103828338
y1[1] (numeric) = 1.8860695910546524441705103828338
absolute error = 3e-63
relative error = 1.5906093890854048074018920369064e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4635522406463385667952231544191
y2[1] (numeric) = 1.4635522406463385667952231544191
absolute error = 4e-63
relative error = 2.7330763391360101748202004166038e-61 %
Correct digits = 64
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=68.86
x[1] = 0.483
y1[1] (analytic) = 1.8856055958565062007540108804759
y1[1] (numeric) = 1.8856055958565062007540108804759
absolute error = 3e-63
relative error = 1.5910007939053118659289649935770e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4644380783136139529542977177052
y2[1] (numeric) = 1.4644380783136139529542977177052
absolute error = 4e-63
relative error = 2.7314231029872111830470218503551e-61 %
Correct digits = 64
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=69.09
x[1] = 0.484
y1[1] (analytic) = 1.8851407150528379012951719841238
y1[1] (numeric) = 1.8851407150528379012951719841238
absolute error = 3e-63
relative error = 1.5913931390081477956934761648368e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4653234515428497286713220221064
y2[1] (numeric) = 1.4653234515428497286713220221064
absolute error = 3e-63
relative error = 2.0473295481903863355723148617720e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.485
y1[1] (analytic) = 1.8846749491085283107222274715935
y1[1] (numeric) = 1.8846749491085283107222274715935
absolute error = 3e-63
relative error = 1.5917864252501645089977934616200e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4662083594486727384916203275428
y2[1] (numeric) = 1.4662083594486727384916203275428
absolute error = 3e-63
relative error = 2.0460939133699028656794675350691e-61 %
Correct digits = 64
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=69.32
x[1] = 0.486
y1[1] (analytic) = 1.884208298489343334530940517158
y1[1] (numeric) = 1.884208298489343334530940517158
absolute error = 4e-63
relative error = 2.1229075379866357782385429101512e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4670928011461751503345058408895
y2[1] (numeric) = 1.4670928011461751503345058408895
absolute error = 4e-63
relative error = 2.7264805586088185667957950008028e-61 %
Correct digits = 64
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=69.55
x[1] = 0.487
y1[1] (analytic) = 1.8837407636619335530187370096079
y1[1] (numeric) = 1.8837407636619335530187370096079
absolute error = 4e-63
relative error = 2.1234344327847554792784724115439e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4679767757509153404010390543462
y2[1] (numeric) = 1.4679767757509153404010390543462
absolute error = 4e-63
relative error = 2.7248387481837897495821269944047e-61 %
Correct digits = 64
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=69.78
x[1] = 0.488
y1[1] (analytic) = 1.8832723450938337546341641423728
y1[1] (numeric) = 1.8832723450938337546341641423728
absolute error = 4e-63
relative error = 2.1239625858790490633283740619745e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4688602823789187776155778409105
y2[1] (numeric) = 1.4688602823789187776155778409105
absolute error = 4e-63
relative error = 2.7231997814807334191355797051269e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.489
y1[1] (analytic) = 1.882803043253462468442140926205
y1[1] (numeric) = 1.882803043253462468442140926205
absolute error = 4e-63
relative error = 2.1244919984238208042315775081693e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4697433201466789076002348654785
y2[1] (numeric) = 1.4697433201466789076002348654785
absolute error = 3e-63
relative error = 2.0411727400813109409209597053977e-61 %
Correct digits = 64
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=70.01
x[1] = 0.49
y1[1] (analytic) = 1.8823328586101214957054681591367
y1[1] (numeric) = 1.8823328586101214957054681591367
absolute error = 4e-63
relative error = 2.1250226715765474828733436531075e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.470625888171158036181358337188
y2[1] (numeric) = 1.470625888171158036181358337188
absolute error = 3e-63
relative error = 2.0399477692662830003845548414891e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1163.5MB, alloc=4.6MB, time=70.24
x[1] = 0.491
y1[1] (analytic) = 1.8818617916339954405830662721614
y1[1] (numeric) = 1.8818617916339954405830662721614
absolute error = 4e-63
relative error = 2.1255546064978839196645382256965e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4715079855697882124271525965983
y2[1] (numeric) = 1.4715079855697882124271525965983
absolute error = 3e-63
relative error = 2.0387249198911812716153993179978e-61 %
Correct digits = 64
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=70.47
x[1] = 0.492
y1[1] (analytic) = 1.8813898427961512399454103523624
y1[1] (numeric) = 1.8813898427961512399454103523624
absolute error = 5e-63
relative error = 2.6576097554395856560151211420143e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4723896114604721112155555001594
y2[1] (numeric) = 1.4723896114604721112155555001594
absolute error = 2e-63
relative error = 1.3583361254608336791427498363658e-61 %
Correct digits = 64
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=70.70
x[1] = 0.493
y1[1] (analytic) = 1.8809170125685376923076325280146
y1[1] (numeric) = 1.8809170125685376923076325280146
absolute error = 5e-63
relative error = 2.6582778328811610830287977839186e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4732707649615839153314900341658
y2[1] (numeric) = 1.4732707649615839153314900341658
absolute error = 2e-63
relative error = 1.3575237136074920660775179976116e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.494
y1[1] (analytic) = 1.8804433014239849858807627825173
y1[1] (numeric) = 1.8804433014239849858807627825173
absolute error = 4e-63
relative error = 2.1271579935278872564889565001791e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4741514451919701970926080610182
y2[1] (numeric) = 1.4741514451919701970926080610182
absolute error = 2e-63
relative error = 1.3567127085369112764015389390344e-61 %
Correct digits = 64
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=70.93
x[1] = 0.495
y1[1] (analytic) = 1.8799687098362042257415801458792
y1[1] (numeric) = 1.8799687098362042257415801458792
absolute error = 4e-63
relative error = 2.1276949871939663547981042915434e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4750316512709507995026445721214
y2[1] (numeric) = 1.4750316512709507995026445721214
absolute error = 3e-63
relative error = 2.0338546616373084548523973468230e-61 %
Correct digits = 64
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=71.17
x[1] = 0.496
y1[1] (analytic) = 1.8794932382797869601215470938628
y1[1] (numeric) = 1.8794932382797869601215470938628
absolute error = 4e-63
relative error = 2.1282332484797947908223509275734e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4759113823183197169315012941389
y2[1] (numeric) = 1.4759113823183197169315012941389
absolute error = 2e-63
relative error = 1.3550949087867706221264689791461e-61 %
Correct digits = 64
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=71.40
x[1] = 0.497
y1[1] (analytic) = 1.8790168872302047058153008658165
y1[1] (numeric) = 1.8790168872302047058153008658165
absolute error = 4e-63
relative error = 2.1287727785652128036264820294764e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4767906374543459753211789685932
y2[1] (numeric) = 1.4767906374543459753211789685932
absolute error = 2e-63
relative error = 1.3542881091442650094381480294796e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.498
y1[1] (analytic) = 1.8785396571638084727091762926628
y1[1] (numeric) = 1.8785396571638084727091762926628
absolute error = 4e-63
relative error = 2.1293135786332778998474835973414e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4776694157997745119166780989527
y2[1] (numeric) = 1.4776694157997745119166780989527
absolute error = 1e-63
relative error = 6.7674135317929654419164914090753e-62 %
Correct digits = 64
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=71.63
x[1] = 0.499
y1[1] (analytic) = 1.8780615485578282874302356064793
y1[1] (numeric) = 1.8780615485578282874302356064793
absolute error = 4e-63
relative error = 2.1298556498702705297916335811719e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4785477164758270545209884343787
y2[1] (numeric) = 1.4785477164758270545209884343787
absolute error = 2e-63
relative error = 1.3526786979638869358170635623040e-61 %
Correct digits = 64
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=71.87
x[1] = 0.5
y1[1] (analytic) = 1.8775825618903727161162815826038
y1[1] (numeric) = 1.8775825618903727161162815826038
absolute error = 4e-63
relative error = 2.1303989934656997816974038597239e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4794255386042030002732879352156
y2[1] (numeric) = 1.4794255386042030002732879352156
absolute error = 2e-63
relative error = 1.3518760815004887495457772563323e-61 %
Correct digits = 64
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=72.10
x[1] = 0.501
y1[1] (analytic) = 1.8771026976404283863073312442114
y1[1] (numeric) = 1.8771026976404283863073312442114
absolute error = 4e-63
relative error = 2.1309436106123090942123561734281e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4803028813070802939494724420977
y2[1] (numeric) = 1.4803028813070802939494724420977
absolute error = 2e-63
relative error = 1.3510748545149332425894357125264e-61 %
Correct digits = 64
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=72.33
x[1] = 0.502
y1[1] (analytic) = 1.8766219562878595079590282378478
y1[1] (numeric) = 1.8766219562878595079590282378478
absolute error = 4e-63
relative error = 2.1314895025060819871323968209519e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4811797437071163057841377482187
y2[1] (numeric) = 1.4811797437071163057841377482187
absolute error = 2e-63
relative error = 1.3502750145599300974991523489969e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.503
y1[1] (analytic) = 1.8761403383134073935784728664688
y1[1] (numeric) = 1.8761403383134073935784728664688
absolute error = 4e-63
relative error = 2.1320366703462478104519368328205e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4820561249274487088131362528522
y2[1] (numeric) = 1.4820561249274487088131362528522
absolute error = 2e-63
relative error = 1.3494765591943464804991484405496e-61 %
Correct digits = 64
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=72.56
x[1] = 0.504
y1[1] (analytic) = 1.8756578441986899774829496441145
y1[1] (numeric) = 1.8756578441986899774829496441145
absolute error = 4e-63
relative error = 2.1325851153352875117736868827886e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4829320240916963557358308536409
y2[1] (numeric) = 1.4829320240916963557358308536409
absolute error = 2e-63
relative error = 1.3486794859831896152238384350591e-61 %
Correct digits = 64
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=72.79
x[1] = 0.505
y1[1] (analytic) = 1.8751744744262013341820331134515
y1[1] (numeric) = 1.8751744744262013341820331134515
absolute error = 4e-63
relative error = 2.1331348386789394221269993911445e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4838074403239601552961692154743
y2[1] (numeric) = 1.4838074403239601552961692154743
absolute error = 2e-63
relative error = 1.3478837924975894158215646973367e-61 %
Correct digits = 64
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=73.02
x[1] = 0.506
y1[1] (analytic) = 1.8746902294793111958835535440367
y1[1] (numeric) = 1.8746902294793111958835535440367
absolute error = 4e-63
relative error = 2.1336858415862050602438541166927e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4846823727488239481817020349524
y2[1] (numeric) = 1.4846823727488239481817020349524
absolute error = 2e-63
relative error = 1.3470894763147811791975288351628e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.507
y1[1] (analytic) = 1.8742051098422644691239050052961
y1[1] (numeric) = 1.8742051098422644691239050052961
absolute error = 4e-63
relative error = 2.1342381252693549553417680286304e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4855568204913553824396694014905
y2[1] (numeric) = 1.4855568204913553824396694014905
absolute error = 2e-63
relative error = 1.3462965350180883361694542500849e-61 %
Correct digits = 64
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=73.24
x[1] = 0.508
y1[1] (analytic) = 1.8737191160001807505231791838722
y1[1] (numeric) = 1.8737191160001807505231791838722
absolute error = 4e-63
relative error = 2.1347916909439344884630953987854e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4864307826771067884092798390526
y2[1] (numeric) = 1.4864307826771067884092798390526
absolute error = 1e-63
relative error = 6.7275248309845263065524865017367e-62 %
Correct digits = 64
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=73.48
x[1] = 0.509
y1[1] (analytic) = 1.873232248439053841665609190164
y1[1] (numeric) = 1.873232248439053841665609190164
absolute error = 4e-63
relative error = 2.1353465398287697524203698615807e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4873042584321160531693070963062
y2[1] (numeric) = 1.4873042584321160531693070963062
absolute error = 1e-63
relative error = 6.7235738372334007062745124500644e-62 %
Correct digits = 64
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=73.71
x[1] = 0.51
y1[1] (analytic) = 1.8727445076457512631058084735755
y1[1] (numeric) = 1.8727445076457512631058084735755
absolute error = 4e-63
relative error = 2.1359026731459734303975266565312e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4881772468829074945001302376746
y2[1] (numeric) = 1.4881772468829074945001302376746
absolute error = 1e-63
relative error = 6.7196296818444895062143521595632e-62 %
Correct digits = 64
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=73.94
x[1] = 0.511
y1[1] (analytic) = 1.8722558941080137675012908401947
y1[1] (numeric) = 1.8722558941080137675012908401947
absolute error = 5e-63
relative error = 2.6705751151511883665712879986921e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4890497471564927343593430733201
y2[1] (numeric) = 1.4890497471564927343593430733201
absolute error = 1e-63
relative error = 6.7156923528553159484103799866211e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.512
y1[1] (analytic) = 1.8717664083144548518717584403411
y1[1] (numeric) = 1.8717664083144548518717584403411
absolute error = 4e-63
relative error = 2.1370187979824051156031215217976e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4899217583803715718700594525215
y2[1] (numeric) = 1.4899217583803715718700594525215
absolute error = 1e-63
relative error = 6.7117618383334171025211904344851e-62 %
Correct digits = 64
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=74.17
x[1] = 0.513
y1[1] (analytic) = 1.8712760507545602689856454666536
y1[1] (numeric) = 1.8712760507545602689856454666536
absolute error = 4e-63
relative error = 2.1375787919623446106515829980114e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4907932796825328558210414322121
y2[1] (numeric) = 1.4907932796825328558210414322121
absolute error = 1e-63
relative error = 6.7078381263762593654805092991913e-62 %
Correct digits = 64
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=74.40
x[1] = 0.514
y1[1] (analytic) = 1.8707848219186875378744061761341
y1[1] (numeric) = 1.8707848219186875378744061761341
absolute error = 4e-63
relative error = 2.1381400752960873839566180915777e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4916643101914553566777778206244
y2[1] (numeric) = 1.4916643101914553566777778206244
absolute error = 1e-63
relative error = 6.7039212051111542479257453306329e-62 %
Correct digits = 64
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=74.63
x[1] = 0.515
y1[1] (analytic) = 1.8702927222980654534750367218189
y1[1] (numeric) = 1.8702927222980654534750367218189
absolute error = 4e-63
relative error = 2.1387026492222679060456196992383e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4925348490361086381036410850348
y2[1] (numeric) = 1.4925348490361086381036410850348
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.516
y1[1] (analytic) = 1.8697997523847935954013211515137
y1[1] (numeric) = 1.8697997523847935954013211515137
absolute error = 4e-63
relative error = 2.1392665149828429040128023369515e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4934048953459539279902511025232
y2[1] (numeric) = 1.4934048953459539279902511025232
absolute error = 1e-63
relative error = 6.6961076873150701995841759700373e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1239.8MB, alloc=4.6MB, time=74.86
x[1] = 0.517
y1[1] (analytic) = 1.8693059126718418358442928023069
y1[1] (numeric) = 1.8693059126718418358442928023069
absolute error = 4e-63
relative error = 2.1398316738230973721228589982505e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4942744482509449889961747234587
y2[1] (numeric) = 1.4942744482509449889961747234587
absolute error = 1e-63
relative error = 6.6922110671871859294381997784126e-62 %
Correct digits = 64
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=75.09
x[1] = 0.518
y1[1] (analytic) = 1.8688112036530498466024031903571
y1[1] (numeric) = 1.8688112036530498466024031903571
absolute error = 4e-63
relative error = 2.1403981269916506014759969689063e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4951435068815289885930906090811
y2[1] (numeric) = 1.4951435068815289885930906090811
absolute error = 0
relative error = 0 %
Correct digits = 64
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=75.32
x[1] = 0.519
y1[1] (analytic) = 1.8683156258231266052418913657465
y1[1] (numeric) = 1.8683156258231266052418913657465
absolute error = 4e-63
relative error = 2.1409658757404622287858992266305e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4960120703686473686185492970897
y2[1] (numeric) = 1.4960120703686473686185492970897
absolute error = 1e-63
relative error = 6.6844380457009277363374714083910e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.52
y1[1] (analytic) = 1.8678191796776499003878475719885
y1[1] (numeric) = 1.8678191796776499003878475719885
absolute error = 4e-63
relative error = 2.1415349213248383043223512890138e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4968801378437367143344589425478
y2[1] (numeric) = 1.4968801378437367143344589425478
absolute error = 1e-63
relative error = 6.6805616209224672797258116287455e-62 %
Correct digits = 64
h = 0.001
memory used=1251.2MB, alloc=4.6MB, time=75.55
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.521
y1[1] (analytic) = 1.8673218657130658361464659190853
y1[1] (numeric) = 1.8673218657130658361464659190853
absolute error = 4e-63
relative error = 2.1421052650034373790704673005065e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4977477084387296229904276756926
y2[1] (numeric) = 1.4977477084387296229904276756926
absolute error = 1e-63
relative error = 6.6766919045558889801291916285338e-62 %
Correct digits = 64
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=75.78
x[1] = 0.522
y1[1] (analytic) = 1.8668236844266883356589816478407
y1[1] (numeric) = 1.8668236844266883356589816478407
absolute error = 4e-63
relative error = 2.1426769080382766111586437730592e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4986147812860555718910940133795
y2[1] (numeric) = 1.4986147812860555718910940133795
absolute error = 1e-63
relative error = 6.6728288849642676233420489923157e-62 %
Correct digits = 64
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=76.02
x[1] = 0.523
y1[1] (analytic) = 1.8663246363166986437877894314509
y1[1] (numeric) = 1.8663246363166986437877894314509
absolute error = 4e-63
relative error = 2.1432498516947378916075647181047e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.4994813555186417859665772569024
y2[1] (numeric) = 1.4994813555186417859665772569024
absolute error = 1e-63
relative error = 6.6689725505397779126276429596772e-62 %
Correct digits = 64
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=76.25
x[1] = 0.524
y1[1] (analytic) = 1.8658247218821448289352400282119
y1[1] (numeric) = 1.8658247218821448289352400282119
absolute error = 4e-63
relative error = 2.1438240972415739894527779329596e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5003474302699141048451803058119
y2[1] (numeric) = 1.5003474302699141048451803058119
absolute error = 1e-63
relative error = 6.6651228897036130635039164576756e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.525
y1[1] (analytic) = 1.8653239416229412839956134665064
y1[1] (numeric) = 1.8653239416229412839956134665064
absolute error = 4e-63
relative error = 2.1443996459509147162935589355245e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5012130046737978494274778151016
y2[1] (numeric) = 1.5012130046737978494274778151016
absolute error = 1e-63
relative error = 6.6612798909059036735289951364092e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1266.5MB, alloc=4.6MB, time=76.48
x[1] = 0.526
y1[1] (analytic) = 1.864822296039868226440767810055
y1[1] (numeric) = 1.864822296039868226440767810055
absolute error = 5e-63
relative error = 2.6812206238728413879012206006069e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5020780778647186879609231217462
y2[1] (numeric) = 1.5020780778647186879609231217462
absolute error = 1e-63
relative error = 6.6574435426256368660434415785880e-62 %
Correct digits = 64
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=76.71
x[1] = 0.527
y1[1] (analytic) = 1.8643197856345711975399634177419
y1[1] (numeric) = 1.8643197856345711975399634177419
absolute error = 5e-63
relative error = 2.6819433224531895498478396764444e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5029426489776035016141078660558
y2[1] (numeric) = 1.5029426489776035016141078660558
absolute error = 0
relative error = 0 %
Correct digits = 64
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=76.94
x[1] = 0.528
y1[1] (analytic) = 1.8638164109095605607143634781479
y1[1] (numeric) = 1.8638164109095605607143634781479
absolute error = 5e-63
relative error = 2.6826676547825605332585776334859e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5038067171478812495498087336605
y2[1] (numeric) = 1.5038067171478812495498087336605
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.529
y1[1] (analytic) = 1.8633121723682109990267124642498
y1[1] (numeric) = 1.8633121723682109990267124642498
absolute error = 5e-63
relative error = 2.6833936224680793602893501609822e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.504670281511483833495956245149
y2[1] (numeric) = 1.504670281511483833495956245149
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1277.9MB, alloc=4.6MB, time=77.17
TOP MAIN SOLVE Loop
x[1] = 0.53
y1[1] (analytic) = 1.8628070705147610118066950185642
y1[1] (numeric) = 1.8628070705147610118066950185642
absolute error = 6e-63
relative error = 3.2209454725453575015572376807506e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5055333412048469618136610224661
y2[1] (numeric) = 1.5055333412048469618136610224661
absolute error = 0
relative error = 0 %
Correct digits = 64
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=77.40
x[1] = 0.531
y1[1] (analytic) = 1.8623011058543124104124786433371
y1[1] (numeric) = 1.8623011058543124104124786433371
absolute error = 5e-63
relative error = 2.6848504703573694776237157635875e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5063958953649110130614334641129
y2[1] (numeric) = 1.5063958953649110130614334641129
absolute error = 0
relative error = 0 %
Correct digits = 64
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=77.64
x[1] = 0.532
y1[1] (analytic) = 1.861794278892829813128944434192
y1[1] (numeric) = 1.861794278892829813128944434192
absolute error = 5e-63
relative error = 2.6855813537967232391220690937476e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5072579431291218990547332650042
y2[1] (numeric) = 1.5072579431291218990547332650042
absolute error = 0
relative error = 0 %
Correct digits = 64
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=77.86
x[1] = 0.533
y1[1] (analytic) = 1.8612865901371401392031109589661
y1[1] (numeric) = 1.8612865901371401392031109589661
absolute error = 5e-63
relative error = 2.6863138790634055665129976478982e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5081194836354319274199857215036
y2[1] (numeric) = 1.5081194836354319274199857215036
absolute error = 1e-63
relative error = 6.6307743574098460670732175881598e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.534
y1[1] (analytic) = 1.8607780400949321020172572462665
y1[1] (numeric) = 1.8607780400949321020172572462665
absolute error = 5e-63
relative error = 2.6870480477859212486204507228446e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.508980516022300663642202267693
y2[1] (numeric) = 1.508980516022300663642202267693
absolute error = 1e-63
relative error = 6.6269908019489720880967078764287e-62 %
Correct digits = 64
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=78.09
x[1] = 0.535
y1[1] (analytic) = 1.8602686292747557014002517105828
y1[1] (numeric) = 1.8602686292747557014002517105828
absolute error = 5e-63
relative error = 2.6877838615970747845657610397385e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5098410394286957926053431953273
y2[1] (numeric) = 1.5098410394286957926053431953273
absolute error = 0
relative error = 0 %
Correct digits = 64
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=78.33
x[1] = 0.536
y1[1] (analytic) = 1.8597583581860217150775947025839
y1[1] (numeric) = 1.8597583581860217150775947025839
absolute error = 5e-63
relative error = 2.6885213221339783609855162017425e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5107010529940939796245610171836
y2[1] (numeric) = 1.5107010529940939796245610171836
absolute error = 0
relative error = 0 %
Correct digits = 64
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=78.56
x[1] = 0.537
y1[1] (analytic) = 1.8592472273390011892606832345142
y1[1] (numeric) = 1.8592472273390011892606832345142
absolute error = 5e-63
relative error = 2.6892604310380598543425446762872e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.511560555858481730969463441633
y2[1] (numeric) = 1.511560555858481730969463441633
absolute error = 1e-63
relative error = 6.6156793793289744286127369165001e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.538
y1[1] (analytic) = 1.8587352372448249283758072913827
y1[1] (numeric) = 1.8587352372448249283758072913827
absolute error = 5e-63
relative error = 2.6900011899550708583991908218418e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5124195471623562538775354352446
y2[1] (numeric) = 1.5124195471623562538775354352446
absolute error = 0
relative error = 0 %
Correct digits = 64
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=78.79
x[1] = 0.539
y1[1] (analytic) = 1.8582223884154829839333879989047
y1[1] (numeric) = 1.8582223884154829839333879989047
absolute error = 5e-63
relative error = 2.6907436005350947369223121520408e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5132780260467263160568603600697
y2[1] (numeric) = 1.5132780260467263160568603600697
absolute error = 0
relative error = 0 %
Correct digits = 64
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=79.02
x[1] = 0.54
y1[1] (analytic) = 1.8577086813638241425379687789178
y1[1] (numeric) = 1.8577086813638241425379687789178
absolute error = 5e-63
relative error = 2.6914876644325547016896916446517e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5141359916531131046772806829582
y2[1] (numeric) = 1.5141359916531131046772806829582
absolute error = 0
relative error = 0 %
Correct digits = 64
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=79.25
x[1] = 0.541
y1[1] (analytic) = 1.8571941166035554130394714822349
y1[1] (numeric) = 1.8571941166035554130394714822349
absolute error = 5e-63
relative error = 2.6922333833062219158678184633756e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.514993443123551084849139265818
y2[1] (numeric) = 1.514993443123551084849139265818
absolute error = 0
relative error = 0 %
Correct digits = 64
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=79.48
x[1] = 0.542
y1[1] (analytic) = 1.8566786946492415128262303476392
y1[1] (numeric) = 1.8566786946492415128262303476392
absolute error = 4e-63
relative error = 2.1543846070553788982650015768004e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5158503796005888575887427581458
y2[1] (numeric) = 1.5158503796005888575887427581458
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.543
y1[1] (analytic) = 1.8561624160163043532603174939409
y1[1] (numeric) = 1.8561624160163043532603174939409
absolute error = 4e-63
relative error = 2.1549838341112410403952371017248e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.51670680022729001726968912644
y2[1] (numeric) = 1.51670680022729001726968912644
absolute error = 0
relative error = 0 %
Correct digits = 64
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=79.71
x[1] = 0.544
y1[1] (analytic) = 1.8556452812210225242556745097304
y1[1] (numeric) = 1.8556452812210225242556745097304
absolute error = 4e-63
relative error = 2.1555843891500550729791814296391e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5175627041472340085592018692383
y2[1] (numeric) = 1.5175627041472340085592018692383
absolute error = 1e-63
relative error = 6.5895135487131736375143467608159e-62 %
Correct digits = 64
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=79.94
x[1] = 0.545
y1[1] (analytic) = 1.8551272907805307779995655626503
y1[1] (numeric) = 1.8551272907805307779995655626503
absolute error = 4e-63
relative error = 2.1561862735128166059284574426445e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5184180905045169828386139815162
y2[1] (numeric) = 1.5184180905045169828386139815162
absolute error = 1e-63
relative error = 6.5858014090686652340412938864678e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1327.5MB, alloc=4.6MB, time=80.17
x[1] = 0.546
y1[1] (analytic) = 1.8546084452128195118178683066931
y1[1] (numeric) = 1.8546084452128195118178683066931
absolute error = 4e-63
relative error = 2.1567894885440323302065785485131e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5192729584437526541071452480364
y2[1] (numeric) = 1.5192729584437526541071452480364
absolute error = 1e-63
relative error = 6.5820956954590760020312419724000e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.547
y1[1] (analytic) = 1.8540887450367342501847197221881
y1[1] (numeric) = 1.8540887450367342501847197221881
absolute error = 4e-63
relative error = 2.1573940355917266235007275174285e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5201273071100731543681169619403
y2[1] (numeric) = 1.5201273071100731543681169619403
absolute error = 2e-63
relative error = 1.3156792793902353282183001672793e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1331.3MB, alloc=4.6MB, time=80.40
x[1] = 0.548
y1[1] (analytic) = 1.8535681907719751258770348787904
y1[1] (numeric) = 1.8535681907719751258770348787904
absolute error = 4e-63
relative error = 2.1579999160074481765882697297378e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5209811356491298884967486824406
y2[1] (numeric) = 1.5209811356491298884967486824406
absolute error = 2e-63
relative error = 1.3149407005277765589686737310604e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1335.1MB, alloc=4.6MB, time=80.63
x[1] = 0.549
y1[1] (analytic) = 1.8530467829390963602744174669085
y1[1] (numeric) = 1.8530467829390963602744174669085
absolute error = 4e-63
relative error = 2.1586071311462766404556587597340e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5218344432070943885886821638876
y2[1] (numeric) = 1.5218344432070943885886821638876
absolute error = 2e-63
relative error = 1.3142034003286360435776876540221e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1338.9MB, alloc=4.6MB, time=80.86
x[1] = 0.55
y1[1] (analytic) = 1.8525245220595057428049817976178
y1[1] (numeric) = 1.8525245220595057428049817976178
absolute error = 5e-63
relative error = 2.6990196029585366177845095383463e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5226872289306591677883781077573
y2[1] (numeric) = 1.5226872289306591677883781077573
absolute error = 2e-63
relative error = 1.3134673766224100386001291625475e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1342.8MB, alloc=4.6MB, time=81.09
x[1] = 0.551
y1[1] (analytic) = 1.8520014086554641095376068251937
y1[1] (numeric) = 1.8520014086554641095376068251937
absolute error = 4e-63
relative error = 2.1598255710312677339646152771187e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5235394919670385735965319092362
y2[1] (numeric) = 1.5235394919670385735965319092362
absolute error = 2e-63
relative error = 1.3127326272440790395214363251943e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.552
y1[1] (analytic) = 1.8514774432500848209211435999679
y1[1] (numeric) = 1.8514774432500848209211435999679
absolute error = 4e-63
relative error = 2.1604367985053045823871547455791e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5243912314639696406556550910571
y2[1] (numeric) = 1.5243912314639696406556550910571
absolute error = 2e-63
relative error = 1.3119991500339929637250736551079e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1346.6MB, alloc=4.6MB, time=81.32
x[1] = 0.553
y1[1] (analytic) = 1.8509526263673332386710984122557
y1[1] (numeric) = 1.8509526263673332386710984122557
absolute error = 4e-63
relative error = 2.1610493661582102195850474572438e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.525242446569712943012969639076
y2[1] (numeric) = 1.525242446569712943012969639076
absolute error = 1e-63
relative error = 6.5563347141892819147265765552922e-62 %
Correct digits = 64
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=81.55
x[1] = 0.554
y1[1] (analytic) = 1.8504269585320262018043147406284
y1[1] (numeric) = 1.8504269585320262018043147406284
absolute error = 4e-63
relative error = 2.1616632753628195347707664501167e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5260931364330534458597629767672
y2[1] (numeric) = 1.5260931364330534458597629767672
absolute error = 1e-63
relative error = 6.5526800175335690251021978601290e-62 %
Correct digits = 64
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=81.78
x[1] = 0.555
y1[1] (analytic) = 1.849900440269831501822177969805
y1[1] (numeric) = 1.849900440269831501822177969805
absolute error = 4e-63
relative error = 2.1622785274955386991356309165046e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5269433002033013567463518393519
y2[1] (numeric) = 1.5269433002033013567463518393519
absolute error = 1e-63
relative error = 6.5490316494846750238106202429870e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.556
y1[1] (analytic) = 1.8493730721072673570428676949146
y1[1] (numeric) = 1.8493730721072673570428676949146
absolute error = 4e-63
relative error = 2.1628951239363519598680745583701e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5277929370302929762718038326678
y2[1] (numeric) = 1.5277929370302929762718038326678
absolute error = 2e-63
relative error = 1.3090779198702004037576131955716e-61 %
Correct digits = 64
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=82.01
x[1] = 0.557
y1[1] (analytic) = 1.8488448545717018860831832798337
y1[1] (numeric) = 1.8488448545717018860831832798337
absolute error = 4e-63
relative error = 2.1635130660688284553933913015302e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5286420460643915482475659871291
y2[1] (numeric) = 1.5286420460643915482475659871291
absolute error = 2e-63
relative error = 1.3083507712934864989220081231567e-61 %
Correct digits = 64
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=82.24
x[1] = 0.558
y1[1] (analytic) = 1.8483157881913525804904691877283
y1[1] (numeric) = 1.8483157881913525804904691877283
absolute error = 4e-63
relative error = 2.1641323552801290518945837434768e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5294906264564881093341501432183
y2[1] (numeric) = 1.5294906264564881093341501432183
absolute error = 2e-63
relative error = 1.3076248820390513396188034879884e-61 %
Correct digits = 64
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=82.47
x[1] = 0.559
y1[1] (analytic) = 1.8477858734952857765251674518325
y1[1] (numeric) = 1.8477858734952857765251674518325
absolute error = 4e-63
relative error = 2.1647529929610132011741623623454e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.530338677358002338150025531897
y2[1] (numeric) = 1.530338677358002338150025531897
absolute error = 2e-63
relative error = 1.3069002499844200531675673987110e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1369.5MB, alloc=4.6MB, time=82.70
x[1] = 0.56
y1[1] (analytic) = 1.8472551110134161260945255038663
y1[1] (numeric) = 1.8472551110134161260945255038663
absolute error = 4e-63
relative error = 2.1653749805058458199169669898678e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.531186197920883403851869441112
y2[1] (numeric) = 1.531186197920883403851869441112
absolute error = 2e-63
relative error = 1.3061768730123704185584278128487e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.561
y1[1] (analytic) = 1.846723501276506066837988426341
y1[1] (numeric) = 1.846723501276506066837988426341
absolute error = 4e-63
relative error = 2.1659983193126041904143063526408e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5320331872976108141853273882178
y2[1] (numeric) = 1.5320331872976108141853273882178
absolute error = 2e-63
relative error = 1.3054547490109184881937928507617e-61 %
Correct digits = 64
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=82.94
x[1] = 0.562
y1[1] (analytic) = 1.8461910448161652913648055433158
y1[1] (numeric) = 1.8461910448161652913648055433158
absolute error = 4e-63
relative error = 2.1666230107828848828099366173682e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5328796446411952630054347476258
y2[1] (numeric) = 1.5328796446411952630054347476258
absolute error = 2e-63
relative error = 1.3047338758733042574784928271987e-61 %
Correct digits = 64
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=83.17
x[1] = 0.563
y1[1] (analytic) = 1.8456577421648502156443821119545
y1[1] (numeric) = 1.8456577421648502156443821119545
absolute error = 4e-63
relative error = 2.1672490563219106989286258405469e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5337255691051794772658523133289
y2[1] (numeric) = 1.5337255691051794772658523133289
absolute error = 3e-63
relative error = 1.9560213772469660731204329296349e-61 %
Correct digits = 64
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=83.40
x[1] = 0.564
y1[1] (analytic) = 1.8451235938558634465499077244873
y1[1] (numeric) = 1.8451235938558634465499077244873
absolute error = 4e-63
relative error = 2.1678764573385376377482780250437e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5345709598436390634760688071373
y2[1] (numeric) = 1.5345709598436390634760688071373
absolute error = 2e-63
relative error = 1.3032958737885829426834442747690e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.565
y1[1] (analytic) = 1.8445886004233532485557938769029
y1[1] (numeric) = 1.8445886004233532485557938769029
absolute error = 4e-63
relative error = 2.1685052152452618825768181288419e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5354158160111833536257238754924
y2[1] (numeric) = 1.5354158160111833536257238754924
absolute error = 2e-63
relative error = 1.3025787406539472570588115130142e-61 %
Correct digits = 64
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=83.63
x[1] = 0.566
y1[1] (analytic) = 1.8440527624023130095894540068917
y1[1] (numeric) = 1.8440527624023130095894540068917
absolute error = 4e-63
relative error = 2.1691353314582268099952678586362e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5362601367629562505752056506075
y2[1] (numeric) = 1.5362601367629562505752056506075
absolute error = 2e-63
relative error = 1.3018628500080637392746200582799e-61 %
Correct digits = 64
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=83.86
x[1] = 0.567
y1[1] (analytic) = 1.8435160803285807060379601492125
y1[1] (numeric) = 1.8435160803285807060379601492125
absolute error = 4e-63
relative error = 2.1697668073972300206286714166401e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5371039212546370729116774854067
y2[1] (numeric) = 1.5371039212546370729116774854067
absolute error = 3e-63
relative error = 1.9517222996551182088093657339211e-61 %
Correct digits = 64
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=84.09
x[1] = 0.568
y1[1] (analytic) = 1.842978554738838366910111201784
y1[1] (numeric) = 1.842978554738838366910111201784
absolute error = 3e-63
relative error = 1.6277997333642977938550704175231e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5379471686424413992696890063077
y2[1] (numeric) = 1.5379471686424413992696890063077
absolute error = 3e-63
relative error = 1.9506521817964167432559284414347e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.569
y1[1] (analytic) = 1.8424401861706115371544486403868
y1[1] (numeric) = 1.8424401861706115371544486403868
absolute error = 3e-63
relative error = 1.6282753831131413641323595119793e-61 %
Correct digits = 64
memory used=1396.2MB, alloc=4.6MB, time=84.32
h = 0.001
y2[1] (analytic) = 1.5387898780831219121155271633056
y2[1] (numeric) = 1.5387898780831219121155271633056
absolute error = 3e-63
relative error = 1.9495839183301067027675885089173e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.57
y1[1] (analytic) = 1.841900975162268740133756363916
y1[1] (numeric) = 1.841900975162268740133756363916
absolute error = 3e-63
relative error = 1.6287520558675552337465407186866e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5396320487339692409944634930788
y2[1] (numeric) = 1.5396320487339692409944634930788
absolute error = 3e-63
relative error = 1.9485175061579700794464170931228e-61 %
Correct digits = 64
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=84.55
x[1] = 0.571
y1[1] (analytic) = 1.841360922253020939256582195639
y1[1] (numeric) = 1.841360922253020939256582195639
absolute error = 3e-63
relative error = 1.6292297527034033351263961234980e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.540473679752812805240054347939
y2[1] (numeric) = 1.540473679752812805240054347939
absolute error = 3e-63
relative error = 1.9474529421894345054352430921479e-61 %
Correct digits = 64
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=84.78
x[1] = 0.572
y1[1] (analytic) = 1.8408200279829209987663194088936
y1[1] (numeric) = 1.8408200279829209987663194088936
absolute error = 3e-63
relative error = 1.6297084746993168813186822560006e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5413147702980216561446513813949
y2[1] (numeric) = 1.5413147702980216561446513813949
absolute error = 2e-63
relative error = 1.2975934822277016403495537114563e-61 %
Correct digits = 64
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=85.01
x[1] = 0.573
y1[1] (analytic) = 1.8402782928928631436883874880982
y1[1] (numeric) = 1.8402782928928631436883874880982
absolute error = 3e-63
relative error = 1.6301882229366997382724940634816e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5421553195285053185902801198912
y2[1] (numeric) = 1.5421553195285053185902801198912
absolute error = 3e-63
relative error = 1.9453293465389805486540585253688e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.574
y1[1] (analytic) = 1.8397357175245824189360521778498
y1[1] (numeric) = 1.8397357175245824189360521778498
absolute error = 3e-63
relative error = 1.6306689984997338138230970683440e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5429953266037146321390449899122
y2[1] (numeric) = 1.5429953266037146321390449899122
absolute error = 3e-63
relative error = 1.9442703087139588430586632239338e-61 %
Correct digits = 64
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=85.24
x[1] = 0.575
y1[1] (analytic) = 1.8391923024206541475754257142438
y1[1] (numeric) = 1.8391923024206541475754257142438
absolute error = 2e-63
relative error = 1.0874338683169229756152475618934e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5438347906836425915822197101162
y2[1] (numeric) = 1.5438347906836425915822197101162
absolute error = 3e-63
relative error = 1.9432131068062902997971764793626e-61 %
Correct digits = 64
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=85.47
x[1] = 0.576
y1[1] (analytic) = 1.8386480481244933882501889733704
y1[1] (numeric) = 1.8386480481244933882501889733704
absolute error = 2e-63
relative error = 1.0877557573022706084447925270713e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5446737109288251869471824994803
y2[1] (numeric) = 1.5446737109288251869471824994803
absolute error = 3e-63
relative error = 1.9421577377633202394187618006424e-61 %
Correct digits = 64
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=85.70
x[1] = 0.577
y1[1] (analytic) = 1.8381029551803543917665781122205
y1[1] (numeric) = 1.8381029551803543917665781122205
absolute error = 2e-63
relative error = 1.0880783333508977977754824966541e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5455120865003422429613560945909
y2[1] (numeric) = 1.5455120865003422429613560945909
absolute error = 2e-63
relative error = 1.2940694656932772643404756923810e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.578
y1[1] (analytic) = 1.837557024133330056839179116969
y1[1] (numeric) = 1.837557024133330056839179116969
absolute error = 2e-63
relative error = 1.0884015971930367441932507215877e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.546349916559818257972313112208
y2[1] (numeric) = 1.546349916559818257972313112208
absolute error = 2e-63
relative error = 1.2933683240656306912522951192206e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1422.9MB, alloc=4.6MB, time=85.93
TOP MAIN SOLVE Loop
x[1] = 0.579
y1[1] (analytic) = 1.8370102555293513849980745127954
y1[1] (numeric) = 1.8370102555293513849980745127954
absolute error = 2e-63
relative error = 1.0887255495607898075981106054136e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5471872002694232423232078370701
y2[1] (numeric) = 1.5471872002694232423232078370701
absolute error = 2e-63
relative error = 1.2926683982725070947385509536358e-61 %
Correct digits = 64
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=86.16
x[1] = 0.58
y1[1] (analytic) = 1.83646264991518693465788732805
y1[1] (numeric) = 1.83646264991518693465788732805
absolute error = 3e-63
relative error = 1.6335752867821997509936394048180e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5480239367918735561826960595765
y2[1] (numeric) = 1.5480239367918735561826960595765
absolute error = 1e-63
relative error = 6.4598484314939022042044913285793e-62 %
Correct digits = 64
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=86.40
x[1] = 0.581
y1[1] (analytic) = 1.8359142078384422743492682436758
y1[1] (numeric) = 1.8359142078384422743492682436758
absolute error = 3e-63
relative error = 1.6340632842163807404705066431118e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.548860125290432746828505133497
y2[1] (numeric) = 1.548860125290432746828505133497
absolute error = 1e-63
relative error = 6.4563609306714260982016396863418e-62 %
Correct digits = 64
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=86.63
x[1] = 0.582
y1[1] (analytic) = 1.8353649298475594351133726963536
y1[1] (numeric) = 1.8353649298475594351133726963536
absolute error = 3e-63
relative error = 1.6345523177503299459114140435803e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5496957649289123853838169702094
y2[1] (numeric) = 1.5496957649289123853838169702094
absolute error = 1e-63
relative error = 6.4528794788690151770263865537681e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.583
y1[1] (analytic) = 1.834814816491816362059875540848
y1[1] (numeric) = 1.834814816491816362059875540848
absolute error = 3e-63
relative error = 1.6350423884934769355369367507401e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5505308548716729030056272331506
y2[1] (numeric) = 1.5505308548716729030056272331506
absolute error = 2e-63
relative error = 1.2898808132170492410026143594101e-61 %
Correct digits = 64
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=86.86
x[1] = 0.584
y1[1] (analytic) = 1.8342638683213263650890717134926
y1[1] (numeric) = 1.8342638683213263650890717134926
absolute error = 3e-63
relative error = 1.6355334975580841383330594376421e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5513653942836244265242445441924
y2[1] (numeric) = 1.5513653942836244265242445441924
absolute error = 2e-63
relative error = 1.2891869364686596164085433579157e-61 %
Correct digits = 64
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=87.09
x[1] = 0.585
y1[1] (analytic) = 1.8337120858870375687786121746697
y1[1] (numeric) = 1.8337120858870375687786121746697
absolute error = 3e-63
relative error = 1.6360256460592524199130980060310e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5521993823302276135330940625129
y2[1] (numeric) = 1.5521993823302276135330940625129
absolute error = 2e-63
relative error = 1.2884942635381770911571630836674e-61 %
Correct digits = 64
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=87.32
x[1] = 0.586
y1[1] (analytic) = 1.8331594697407323614354252435015
y1[1] (numeric) = 1.8331594697407323614354252435015
absolute error = 2e-63
relative error = 1.0910125567432844504417995235233e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.553032818177494486927990346228
y2[1] (numeric) = 1.553032818177494486927990346228
absolute error = 2e-63
relative error = 1.2878027924400385105650884703437e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.587
y1[1] (analytic) = 1.8326060204350268433133742727858
y1[1] (numeric) = 1.8326060204350268433133742727858
absolute error = 2e-63
relative error = 1.0913420438972676274784941109847e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5538657009919892688950449575815
y2[1] (numeric) = 1.5538657009919892688950449575815
absolute error = 2e-63
relative error = 1.2871125211935614455712233839517e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1449.6MB, alloc=4.6MB, time=87.55
TOP MAIN SOLVE Loop
x[1] = 0.588
y1[1] (analytic) = 1.8320517385233702739972034464729
y1[1] (numeric) = 1.8320517385233702739972034464729
absolute error = 2e-63
relative error = 1.0916722262505510135500944259916e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5546980299408292143463748238537
y2[1] (numeric) = 1.5546980299408292143463748238537
absolute error = 2e-63
relative error = 1.2864234478229310460314458130988e-61 %
Correct digits = 64
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=87.78
x[1] = 0.589
y1[1] (analytic) = 1.8314966245600445189533243156914
y1[1] (numeric) = 1.8314966245600445189533243156914
absolute error = 2e-63
relative error = 1.0920031045541417534245146194808e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5555298041916854438027779183523
y2[1] (numeric) = 1.5555298041916854438027779183523
absolute error = 2e-63
relative error = 1.2857355703571869373086372756927e-61 %
Correct digits = 64
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=88.01
x[1] = 0.59
y1[1] (analytic) = 1.8309406791001634952479965224907
y1[1] (numeric) = 1.8309406791001634952479965224907
absolute error = 2e-63
relative error = 1.0923346795609580426579042515074e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5563610229127837757225433788758
y2[1] (numeric) = 1.5563610229127837757225433788758
absolute error = 2e-63
relative error = 1.2850488868302101599991556595291e-61 %
Correct digits = 64
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=88.24
x[1] = 0.591
y1[1] (analytic) = 1.8303839026996726164334569930729
y1[1] (numeric) = 1.8303839026996726164334569930729
absolute error = 2e-63
relative error = 1.0926669520258329144689532205574e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5571916852729055582755637349123
y2[1] (numeric) = 1.5571916852729055582755637349123
absolute error = 1e-63
relative error = 6.4218169764035507631875752501531e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.592
y1[1] (analytic) = 1.8298262959153482366025527143388
y1[1] (numeric) = 1.8298262959153482366025527143388
absolute error = 3e-63
relative error = 1.6394998840582770575046121899328e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5580217904413885005619174695279
y2[1] (numeric) = 1.5580217904413885005619174695279
absolute error = 1e-63
relative error = 6.4183954687610588861084868521726e-62 %
Correct digits = 64
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=88.47
x[1] = 0.593
y1[1] (analytic) = 1.8292678593047970936124330390686
y1[1] (numeric) = 1.8292678593047970936124330390686
absolute error = 3e-63
relative error = 1.6400003885380312955306493028768e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5588513375881275032740906974331
y2[1] (numeric) = 1.5588513375881275032740906974331
absolute error = 1e-63
relative error = 6.4149799014652119370108944178993e-62 %
Correct digits = 64
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=88.70
x[1] = 0.594
y1[1] (analytic) = 1.8287085934264557514778582959995
y1[1] (numeric) = 1.8287085934264557514778582959995
absolute error = 3e-63
relative error = 1.6405019426189126630628596989298e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.559680325883575488802007297074
y2[1] (numeric) = 1.559680325883575488802007297074
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1472.5MB, alloc=4.6MB, time=88.94
x[1] = 0.595
y1[1] (analytic) = 1.8281484988395900419346823114442
y1[1] (numeric) = 1.8281484988395900419346823114442
absolute error = 3e-63
relative error = 1.6410045474447168914808176465499e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5605087544987442307800373917875
y2[1] (numeric) = 1.5605087544987442307800373917875
absolute error = 1e-63
relative error = 6.4081665489996757197356868796453e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.596
y1[1] (analytic) = 1.827587576104294505174067278921
y1[1] (numeric) = 1.827587576104294505174067278921
absolute error = 3e-63
relative error = 1.6415082041621406350092947536574e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5613366226052051830751546330814
y2[1] (numeric) = 1.5613366226052051830751546330814
absolute error = 1e-63
relative error = 6.4047687444327433187380608969228e-62 %
Correct digits = 64
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=89.17
x[1] = 0.597
y1[1] (analytic) = 1.8270258257814918297479902425356
y1[1] (numeric) = 1.8270258257814918297479902425356
absolute error = 3e-63
relative error = 1.6420129139207872573066747797269e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5621639293750903082154132979511
y2[1] (numeric) = 1.5621639293750903082154132979511
absolute error = 0
relative error = 0 %
Correct digits = 64
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=89.40
x[1] = 0.598
y1[1] (analytic) = 1.8264632484329322916466012885597
y1[1] (numeric) = 1.8264632484329322916466012885597
absolute error = 3e-63
relative error = 1.6425186778731726359467495125229e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5629906739810929052579167718239
y2[1] (numeric) = 1.5629906739810929052579167718239
absolute error = 0
relative error = 0 %
Correct digits = 64
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=89.63
x[1] = 0.599
y1[1] (analytic) = 1.8258998446211931925479943678021
y1[1] (numeric) = 1.8258998446211931925479943678021
absolute error = 4e-63
relative error = 2.1907006628996413131279966373850e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5638168555964684370954495492333
y2[1] (numeric) = 1.5638168555964684370954495492333
absolute error = 1e-63
relative error = 6.3946107015107063474105302038151e-62 %
Correct digits = 64
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=89.87
x[1] = 0.6
y1[1] (analytic) = 1.8253356149096782972409524989554
y1[1] (numeric) = 1.8253356149096782972409524989554
absolute error = 3e-63
relative error = 1.6435333729838206946886419039459e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5646424733950353572009454456587
y2[1] (numeric) = 1.5646424733950353572009454456587
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.601
y1[1] (analytic) = 1.8247705598626172702212299301249
y1[1] (numeric) = 1.8247705598626172702212299301249
absolute error = 3e-63
relative error = 1.6440423064617301914019797478743e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5654675265511759358089652761314
y2[1] (numeric) = 1.5654675265511759358089652761314
absolute error = 1e-63
relative error = 6.3878680524473305799945096314815e-62 %
Correct digits = 64
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=90.10
x[1] = 0.602
y1[1] (analytic) = 1.8242046800450651114619346622117
y1[1] (numeric) = 1.8242046800450651114619346622117
absolute error = 3e-63
relative error = 1.6445522987726838127346697354094e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5662920142398370855333578191989
y2[1] (numeric) = 1.5662920142398370855333578191989
absolute error = 1e-63
relative error = 6.3845055130752641411171578160599e-62 %
Correct digits = 64
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=90.33
x[1] = 0.603
y1[1] (analytic) = 1.8236379760229015913585755637194
y1[1] (numeric) = 1.8236379760229015913585755637194
absolute error = 3e-63
relative error = 1.6450633510838477029908642321072e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5671159356365311864202784486542
y2[1] (numeric) = 1.5671159356365311864202784486542
absolute error = 1e-63
relative error = 6.3811488177728214934517328677674e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1499.2MB, alloc=4.6MB, time=90.56
x[1] = 0.604
y1[1] (analytic) = 1.8230704483628306848493391318916
y1[1] (numeric) = 1.8230704483628306848493391318916
absolute error = 3e-63
relative error = 1.6455754645653357259732674024012e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5679392899173369104357403800814
y2[1] (numeric) = 1.5679392899173369104357403800814
absolute error = 1e-63
relative error = 6.3777979570415691820221427458147e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.605
y1[1] (analytic) = 1.822502097632380004711161779855
y1[1] (numeric) = 1.822502097632380004711161779855
absolute error = 3e-63
relative error = 1.6460886403902153961884004893403e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5687620762589000453868740447335
y2[1] (numeric) = 1.5687620762589000453868740447335
absolute error = 1e-63
relative error = 6.3744529214063266591430593583494e-62 %
Correct digits = 64
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=90.79
x[1] = 0.606
y1[1] (analytic) = 1.8219329243999002340321643536487
y1[1] (numeric) = 1.8219329243999002340321643536487
absolute error = 3e-63
relative error = 1.6466028797345138283675541859942e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.569584293838434318276070669554
y2[1] (numeric) = 1.569584293838434318276070669554
absolute error = 2e-63
relative error = 1.2742227402830208657158999414139e-61 %
Correct digits = 64
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=91.02
x[1] = 0.607
y1[1] (analytic) = 1.8213629292345645578610164066595
y1[1] (numeric) = 1.8213629292345645578610164066595
absolute error = 3e-63
relative error = 1.6471181837772237053571079654513e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5704059418337222180871867092646
y2[1] (numeric) = 1.5704059418337222180871867092646
absolute error = 2e-63
relative error = 1.2735560575278083584756018552104e-61 %
Correct digits = 64
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=91.25
x[1] = 0.608
y1[1] (analytic) = 1.8207921127063680940337985820488
y1[1] (numeric) = 1.8207921127063680940337985820488
absolute error = 2e-63
relative error = 1.0984230358002061762880645966620e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5712270194231158180029863443854
y2[1] (numeric) = 1.5712270194231158180029863443854
absolute error = 2e-63
relative error = 1.2728905341344692599264905000915e-61 %
Correct digits = 64
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=91.48
x[1] = 0.609
y1[1] (analytic) = 1.8202204753861273231789322762638
y1[1] (numeric) = 1.8202204753861273231789322762638
absolute error = 2e-63
relative error = 1.0987679937924748680580719230932e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5720475257855375970529998278124
y2[1] (numeric) = 1.5720475257855375970529998278124
absolute error = 2e-63
relative error = 1.2722261682264462792900945345545e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.61
y1[1] (analytic) = 1.8196480178454795179007465786548
y1[1] (numeric) = 1.8196480178454795179007465786548
absolute error = 3e-63
relative error = 1.6486704959303581973587895142480e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5728674601004812611909760321627
y2[1] (numeric) = 1.5728674601004812611909760321627
absolute error = 2e-63
relative error = 1.2715629579317711552779454373119e-61 %
Correct digits = 64
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=91.71
x[1] = 0.611
y1[1] (analytic) = 1.8190747406568821711422533035835
y1[1] (numeric) = 1.8190747406568821711422533035835
absolute error = 2e-63
relative error = 1.0994600470774413024896417000660e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5736868215480125638011081205036
y2[1] (numeric) = 1.5736868215480125638011081205036
absolute error = 2e-63
relative error = 1.2709009013830524661272067301762e-61 %
Correct digits = 64
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=91.95
x[1] = 0.612
y1[1] (analytic) = 1.8185006443936124237277017522008
y1[1] (numeric) = 1.8185006443936124237277017522008
absolute error = 3e-63
relative error = 1.6497107159400342597015220049171e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5745056093087701256322118343075
y2[1] (numeric) = 1.5745056093087701256322118343075
absolute error = 2e-63
relative error = 1.2702399967174634794397156405652e-61 %
Correct digits = 64
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=92.17
x[1] = 0.613
y1[1] (analytic) = 1.8179257296297664910854856612912
y1[1] (numeric) = 1.8179257296297664910854856612912
absolute error = 3e-63
relative error = 1.6502324330988875679925261179216e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5753238225639662541590364645238
y2[1] (numeric) = 1.5753238225639662541590364645238
absolute error = 2e-63
relative error = 1.2695802420767300416800678741309e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.614
y1[1] (analytic) = 1.8173499969402590891519756162284
y1[1] (numeric) = 1.8173499969402590891519756162284
absolute error = 2e-63
relative error = 1.1005034821950947957207152915628e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.576141460495387762369889144524
y2[1] (numeric) = 1.576141460495387762369889144524
absolute error = 2e-63
relative error = 1.2689216356071185071889738330925e-61 %
Correct digits = 64
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=92.40
x[1] = 0.615
y1[1] (analytic) = 1.8167734469008228594568510241632
y1[1] (numeric) = 1.8167734469008228594568510241632
absolute error = 2e-63
relative error = 1.1008527251494882869891808535328e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5769585222853967869797536773647
y2[1] (numeric) = 1.5769585222853967869797536773647
absolute error = 3e-63
relative error = 1.9023962631891355598530643321735e-61 %
Correct digits = 64
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=92.64
x[1] = 0.616
y1[1] (analytic) = 1.8161960800880077933905065620621
y1[1] (numeric) = 1.8161960800880077933905065620621
absolute error = 3e-63
relative error = 1.6518040275996126874238197274970e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5777750071169316060680856843173
y2[1] (numeric) = 1.5777750071169316060680856843173
absolute error = 2e-63
relative error = 1.2676078597889569542980778714346e-61 %
Correct digits = 64
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=92.86
x[1] = 0.617
y1[1] (analytic) = 1.8156178970791806556541088321442
y1[1] (numeric) = 1.8156178970791806556541088321442
absolute error = 3e-63
relative error = 1.6523300441277636424119149865526e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5785909141735074561404664369381
y2[1] (numeric) = 1.5785909141735074561404664369381
absolute error = 2e-63
relative error = 1.2669526867555340954348848200086e-61 %
Correct digits = 64
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=93.10
x[1] = 0.618
y1[1] (analytic) = 1.8150388984525244068928797746095
y1[1] (numeric) = 1.8150388984525244068928797746095
absolute error = 2e-63
relative error = 1.1019047590137989442002796207307e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.579406242639217348613298311092
y2[1] (numeric) = 1.579406242639217348613298311092
absolute error = 2e-63
relative error = 1.2662986545234635912645231734243e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.619
y1[1] (analytic) = 1.8144590847870376255131842043293
y1[1] (numeric) = 1.8144590847870376255131842043293
absolute error = 2e-63
relative error = 1.1022568746623125102446179314007e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5802209916987328857207253783037
y2[1] (numeric) = 1.5802209916987328857207253783037
absolute error = 3e-63
relative error = 1.8984686418923019656307587032542e-61 %
Correct digits = 64
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=93.32
x[1] = 0.62
y1[1] (analytic) = 1.8138784566625339286839996543607
y1[1] (numeric) = 1.8138784566625339286839996543607
absolute error = 3e-63
relative error = 1.6539145657641712929835758963719e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5810351605373050758429632275822
y2[1] (numeric) = 1.5810351605373050758429632275822
absolute error = 2e-63
relative error = 1.2649940051430053586700397545788e-61 %
Correct digits = 64
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=93.56
x[1] = 0.621
y1[1] (analytic) = 1.8132970146596413925233475247695
y1[1] (numeric) = 1.8132970146596413925233475247695
absolute error = 3e-63
relative error = 1.6544449010539536804286702935608e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.581848748340765148255222689459
y2[1] (numeric) = 1.581848748340765148255222689459
absolute error = 3e-63
relative error = 1.8965150765183864208374662178217e-61 %
Correct digits = 64
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=93.79
x[1] = 0.622
y1[1] (analytic) = 1.8127147593598019714702653502798
y1[1] (numeric) = 1.8127147593598019714702653502798
absolute error = 2e-63
relative error = 1.1033175460580139579315861273483e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5826617542955253672964127133811
y2[1] (numeric) = 1.5826617542955253672964127133811
absolute error = 3e-63
relative error = 1.8955408455771779491585867654627e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.623
y1[1] (analytic) = 1.8121316913452709168429008147311
y1[1] (numeric) = 1.8121316913452709168429008147311
absolute error = 2e-63
relative error = 1.1036725473937611125123335192548e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.583474177588579845956808229827
y2[1] (numeric) = 1.583474177588579845956808229827
absolute error = 3e-63
relative error = 1.8945683121707738936293848605674e-61 %
Correct digits = 64
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=94.02
x[1] = 0.624
y1[1] (analytic) = 1.8115478111991161945833089542001
y1[1] (numeric) = 1.8115478111991161945833089542001
absolute error = 1e-63
relative error = 5.5201413609838478939482807984083e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.584286017407505358883869409543
y2[1] (numeric) = 1.584286017407505358883869409543
absolute error = 3e-63
relative error = 1.8935974735856984351234550690507e-61 %
Correct digits = 64
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=94.25
x[1] = 0.625
y1[1] (analytic) = 1.8109631195052179021895348039411
y1[1] (numeric) = 1.8109631195052179021895348039411
absolute error = 1e-63
relative error = 5.5219236064465790700071064998030e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5850972729404621548053993141501
y2[1] (numeric) = 1.5850972729404621548053993141501
absolute error = 3e-63
relative error = 1.8926283271150911962679872500922e-61 %
Correct digits = 64
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=94.48
x[1] = 0.626
y1[1] (analytic) = 1.810377616848267684835564557014
y1[1] (numeric) = 1.810377616848267684835564557014
absolute error = 1e-63
relative error = 5.5237094774786564472386373525763e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5859079433761947683692275150305
y2[1] (numeric) = 1.5859079433761947683692275150305
absolute error = 3e-63
relative error = 1.8916608700586898297382068101448e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.627
y1[1] (analytic) = 1.8097913038137681506797291146007
y1[1] (numeric) = 1.8097913038137681506797291146007
absolute error = 1e-63
relative error = 5.5254989782120336086716516696326e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5867180279040328313986078408783
y2[1] (numeric) = 1.5867180279040328313986078408783
absolute error = 3e-63
relative error = 1.8906950997228126631009231367575e-61 %
Correct digits = 64
h = 0.001
memory used=1567.8MB, alloc=4.6MB, time=94.71
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.628
y1[1] (analytic) = 1.8092041809880322853621447195559
y1[1] (numeric) = 1.8092041809880322853621447195559
absolute error = 1e-63
relative error = 5.5272921127889815852276801336128e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5875275257138918835625189985835
y2[1] (numeric) = 1.5875275257138918835625189985835
absolute error = 3e-63
relative error = 1.8897310134203414000036595335171e-61 %
Correct digits = 64
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=94.95
x[1] = 0.629
y1[1] (analytic) = 1.8086162489581828656917761757053
y1[1] (numeric) = 1.8086162489581828656917761757053
absolute error = 1e-63
relative error = 5.5290888853621101424270654772052e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5883364359962741824600573972178
y2[1] (numeric) = 1.5883364359962741824600573972178
absolute error = 2e-63
relative error = 1.2591790723138025850044501659218e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1575.5MB, alloc=4.6MB, time=95.18
x[1] = 0.63
y1[1] (analytic) = 1.8080275083121518725237089657771
y1[1] (numeric) = 1.8080275083121518725237089657771
absolute error = 1e-63
relative error = 5.5308893000943891326315984017500e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5891447579422695131181120907946
y2[1] (numeric) = 1.5891447579422695131181120907946
absolute error = 2e-63
relative error = 1.2585385881332379195706824475417e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1579.3MB, alloc=4.6MB, time=95.41
x[1] = 0.631
y1[1] (analytic) = 1.8074379596386799028272173906462
y1[1] (numeric) = 1.8074379596386799028272173906462
absolute error = 1e-63
relative error = 5.5326933611591699130194435559532e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5899524907435559969015123421982
y2[1] (numeric) = 1.5899524907435559969015123421982
absolute error = 2e-63
relative error = 1.2578992212935126699977469799011e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.632
y1[1] (analytic) = 1.8068476035273155809452166617754
y1[1] (numeric) = 1.8068476035273155809452166617754
absolute error = 1e-63
relative error = 5.5345010727402068294888027796888e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5907596335924008998348388981996
y2[1] (numeric) = 1.5907596335924008998348388981996
absolute error = 2e-63
relative error = 1.2572609700206023960834142747431e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1583.1MB, alloc=4.6MB, time=95.65
x[1] = 0.633
y1[1] (analytic) = 1.8062564405684149690456876873498
y1[1] (numeric) = 1.8062564405684149690456876873498
absolute error = 1e-63
relative error = 5.5363124390316787666874990419577e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5915661856816614403350906538176
y2[1] (numeric) = 1.5915661856816614403350906538176
absolute error = 2e-63
relative error = 1.2566238325448011377221545394271e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1586.9MB, alloc=4.6MB, time=95.88
x[1] = 0.634
y1[1] (analytic) = 1.8056644713531409767656641006335
y1[1] (numeric) = 1.8056644713531409767656641006335
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.592372146204785596354398973423
y2[1] (numeric) = 1.592372146204785596354398973423
absolute error = 2e-63
relative error = 1.2559878071007101049285920250395e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1590.7MB, alloc=4.6MB, time=96.11
x[1] = 0.635
y1[1] (analytic) = 1.8050716964734627700483718865097
y1[1] (numeric) = 1.8050716964734627700483718865097
absolute error = 1e-63
relative error = 5.5399461525748957002553706890178e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5931775143558129119319825259412
y2[1] (numeric) = 1.5931775143558129119319825259412
absolute error = 2e-63
relative error = 1.2553528919272264044903775949830e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.636
y1[1] (analytic) = 1.8044781165221551791741127690167
y1[1] (numeric) = 1.8044781165221551791741127690167
absolute error = 1e-63
relative error = 5.5417685082673160396610894411298e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5939822893293753031545360822647
y2[1] (numeric) = 1.5939822893293753031545360822647
absolute error = 2e-63
relative error = 1.2547190852675318031191904319242e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1594.5MB, alloc=4.6MB, time=96.34
TOP MAIN SOLVE Loop
x[1] = 0.637
y1[1] (analytic) = 1.8038837320927981059854833289476
y1[1] (numeric) = 1.8038837320927981059854833289476
absolute error = 2e-63
relative error = 1.1087189071103131303974018632018e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5947864703206978635242473145531
y2[1] (numeric) = 1.5947864703206978635242473145531
absolute error = 2e-63
relative error = 1.2540863853690815269691181091352e-61 %
Correct digits = 64
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=96.57
x[1] = 0.638
y1[1] (analytic) = 1.8032885437797759303075226262437
y1[1] (numeric) = 1.8032885437797759303075226262437
absolute error = 2e-63
relative error = 1.1090848477348543388752494721453e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5955900565255996687336362294726
y2[1] (numeric) = 1.5955900565255996687336362294726
absolute error = 2e-63
relative error = 1.2534547904835930973922001317980e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1602.2MB, alloc=4.6MB, time=96.80
x[1] = 0.639
y1[1] (analytic) = 1.8026925521782769155633819069852
y1[1] (numeric) = 1.8026925521782769155633819069852
absolute error = 1e-63
relative error = 5.5472576218926165626791380232916e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5963930471404945808464124606007
y2[1] (numeric) = 1.5963930471404945808464124606007
absolute error = 2e-63
relative error = 1.2528242988670352028014535168749e-61 %
Correct digits = 64
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=97.03
x[1] = 0.64
y1[1] (analytic) = 1.8020957578842926135861107792603
y1[1] (numeric) = 1.8020957578842926135861107792603
absolute error = 1e-63
relative error = 5.5490946894743599099478432799465e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5971954413623920518835462392079
y2[1] (numeric) = 1.5971954413623920518835462392079
absolute error = 2e-63
relative error = 1.2521949087796166065122300387062e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.641
y1[1] (analytic) = 1.8014981614946172686271550460771
y1[1] (numeric) = 1.8014981614946172686271550460771
absolute error = 1e-63
relative error = 5.5509354456978607326612000886463e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5979972383888979268137494574101
y2[1] (numeric) = 1.5979972383888979268137494574101
absolute error = 2e-63
relative error = 1.2515666184857750904332834335741e-61 %
Correct digits = 64
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=97.26
x[1] = 0.642
y1[1] (analytic) = 1.8008997636068472205621621867689
y1[1] (numeric) = 1.8008997636068472205621621867689
absolute error = 2e-63
relative error = 1.1105559789704199049767489145729e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5987984374182152459475638332798
y2[1] (numeric) = 1.5987984374182152459475638332798
absolute error = 2e-63
relative error = 1.2509394262541664344794511419648e-61 %
Correct digits = 64
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=97.49
x[1] = 0.643
y1[1] (analytic) = 1.8003005648193803072946912810412
y1[1] (numeric) = 1.8003005648193803072946912810412
absolute error = 2e-63
relative error = 1.1109256082473401001127235364241e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.5995990376491450467342537838931
y2[1] (numeric) = 1.5995990376491450467342537838931
absolute error = 3e-63
relative error = 1.8754699955364801473675686260484e-61 %
Correct digits = 64
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=97.73
x[1] = 0.644
y1[1] (analytic) = 1.7997005657314152663584249718963
y1[1] (numeric) = 1.7997005657314152663584249718963
absolute error = 2e-63
relative error = 1.1112959778323907768349650803840e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6003990382810871649607022094871
y2[1] (numeric) = 1.6003990382810871649607022094871
absolute error = 2e-63
relative error = 1.2496883290732949381442395235872e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.645
y1[1] (analytic) = 1.7990997669429511357184818651779
y1[1] (numeric) = 1.7990997669429511357184818651779
absolute error = 2e-63
relative error = 1.1116670885897676539820195819116e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6011984385140410353515079898995
y2[1] (numeric) = 1.6011984385140410353515079898995
absolute error = 3e-63
relative error = 1.8735966310235024398378669357953e-61 %
Correct digits = 64
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=97.95
x[1] = 0.646
y1[1] (analytic) = 1.7984981690547866537724285643704
y1[1] (numeric) = 1.7984981690547866537724285643704
absolute error = 2e-63
relative error = 1.1120389413858086099262732813741e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6019972375486064915694845932574
y2[1] (numeric) = 1.6019972375486064915694845932574
absolute error = 3e-63
relative error = 1.8726624052052876592984127690165e-61 %
Correct digits = 64
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=98.19
x[1] = 0.647
y1[1] (analytic) = 1.7978957726685196585515913395922
y1[1] (numeric) = 1.7978957726685196585515913395922
absolute error = 3e-63
relative error = 1.6686173056334972729356961160215e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6027954345859845656157597964862
y2[1] (numeric) = 1.6027954345859845656157597964862
absolute error = 3e-63
relative error = 1.8717298135896706193346878504664e-61 %
Correct digits = 64
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=98.42
x[1] = 0.648
y1[1] (analytic) = 1.7972925783865464861232682294208
y1[1] (numeric) = 1.7972925783865464861232682294208
absolute error = 3e-63
relative error = 1.6691773148549581192484865461542e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6035930288279782866286771176027
y2[1] (numeric) = 1.6035930288279782866286771176027
absolute error = 3e-63
relative error = 1.8707988536172527999760633130793e-61 %
Correct digits = 64
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=98.65
x[1] = 0.649
y1[1] (analytic) = 1.796688586812061368194443173288
y1[1] (numeric) = 1.796688586812061368194443173288
absolute error = 3e-63
relative error = 1.6697384410522825668088408606585e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6043900194769934790807001609604
y2[1] (numeric) = 1.6043900194769934790807001609604
absolute error = 3e-63
relative error = 1.8698695227348484464261281804582e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.65
y1[1] (analytic) = 1.7960837985490558289176045706799
y1[1] (numeric) = 1.7960837985490558289176045706799
absolute error = 3e-63
relative error = 1.6703006855378980889622980697507e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6051864057360395603725216786059
y2[1] (numeric) = 1.6051864057360395603725216786059
absolute error = 3e-63
relative error = 1.8689418183954684600175006748137e-61 %
Correct digits = 64
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=98.88
x[1] = 0.651
y1[1] (analytic) = 1.7954782142023180808992714612743
y1[1] (numeric) = 1.7954782142023180808992714612743
absolute error = 3e-63
relative error = 1.6708640496274793518802246557299e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6059821868087303378235797537072
y2[1] (numeric) = 1.6059821868087303378235797537072
absolute error = 2e-63
relative error = 1.2453438253722028940364779625847e-61 %
Correct digits = 64
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=99.10
x[1] = 0.652
y1[1] (analytic) = 1.7948718343774324204118313174373
y1[1] (numeric) = 1.7948718343774324204118313174373
absolute error = 3e-63
relative error = 1.6714285346399550680260111065739e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6067773618992848050581841156014
y2[1] (numeric) = 1.6067773618992848050581841156014
absolute error = 2e-63
relative error = 1.2447275194591414555738372148824e-61 %
Correct digits = 64
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=99.34
x[1] = 0.653
y1[1] (analytic) = 1.7942646596807786218092942371924
y1[1] (numeric) = 1.7942646596807786218092942371924
absolute error = 3e-63
relative error = 1.6719941418975148706898742296120e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6075719302125279377864562004034
y2[1] (numeric) = 1.6075719302125279377864562004034
absolute error = 2e-63
relative error = 1.2441122928387978135623396960050e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.654
y1[1] (analytic) = 1.7936566907195313311475691218565
y1[1] (numeric) = 1.7936566907195313311475691218565
absolute error = 2e-63
relative error = 1.1150405818170774731041748506255e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6083658909538914889792871763013
y2[1] (numeric) = 1.6083658909538914889792871763013
absolute error = 1e-63
relative error = 6.2174907191479847413308608608062e-62 %
Correct digits = 64
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=99.56
x[1] = 0.655
y1[1] (analytic) = 1.7930479281016594590098682180164
y1[1] (numeric) = 1.7930479281016594590098682180164
absolute error = 2e-63
relative error = 1.1154191523019941787120670138586e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.609159243329414783436518758647
y2[1] (numeric) = 1.609159243329414783436518758647
absolute error = 2e-63
relative error = 1.2428850707540417636473005287450e-61 %
Correct digits = 64
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=99.79
x[1] = 0.656
y1[1] (analytic) = 1.792438372435925572537847198391
y1[1] (numeric) = 1.792438372435925572537847198391
absolute error = 2e-63
relative error = 1.1157984736077692670349043362395e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6099519865457455117475522467268
y2[1] (numeric) = 1.6099519865457455117475522467268
absolute error = 2e-63
relative error = 1.2422730719387025537198902453276e-61 %
Correct digits = 64
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=100.02
x[1] = 0.657
y1[1] (analytic) = 1.7918280243318852866690887503875
y1[1] (numeric) = 1.7918280243318852866690887503875
absolute error = 1e-63
relative error = 5.5808927331230219755721554858331e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6107441198101405236435918216702
y2[1] (numeric) = 1.6107441198101405236435918216702
absolute error = 2e-63
relative error = 1.2416621457142065027664812681893e-61 %
Correct digits = 64
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=100.25
x[1] = 0.658
y1[1] (analytic) = 1.7912168843998866545815384348186
y1[1] (numeric) = 1.7912168843998866545815384348186
absolute error = 1e-63
relative error = 5.5827968612244914725561646802796e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6115356423304666207407287533185
y2[1] (numeric) = 1.6115356423304666207407287533185
absolute error = 2e-63
relative error = 1.2410522904152272192959281433162e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.659
y1[1] (analytic) = 1.7906049532510695573455023702928
y1[1] (numeric) = 1.7906049532510695573455023702928
absolute error = 1e-63
relative error = 5.5847047568162571975197819326902e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6123265533152013486730737730358
y2[1] (numeric) = 1.6123265533152013486730737730358
absolute error = 2e-63
relative error = 1.2404435043804743036236038499871e-61 %
Correct digits = 64
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=100.49
x[1] = 0.66
y1[1] (analytic) = 1.7899922314973650927838170912302
y1[1] (numeric) = 1.7899922314973650927838170912302
absolute error = 1e-63
relative error = 5.5866164243823536481815457661711e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6131168519734337886151454793963
y2[1] (numeric) = 1.6131168519734337886151454793963
absolute error = 2e-63
relative error = 1.2398357859526829489548511754486e-61 %
Correct digits = 64
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=100.72
x[1] = 0.661
y1[1] (analytic) = 1.7893787197514949635408027192822
y1[1] (numeric) = 1.7893787197514949635408027192822
absolute error = 2e-63
relative error = 1.1177063736835741866556420114910e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6139065375148653481927232544241
y2[1] (numeric) = 1.6139065375148653481927232544241
absolute error = 2e-63
relative error = 1.2392291334786035758531487054650e-61 %
Correct digits = 64
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=100.95
x[1] = 0.662
y1[1] (analytic) = 1.7887644186269708643606113791516
y1[1] (numeric) = 1.7887644186269708643606113791516
absolute error = 1e-63
relative error = 5.5904510934289783294353904435032e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6146956091498105517813737796007
y2[1] (numeric) = 1.6146956091498105517813737796007
absolute error = 2e-63
relative error = 1.2386235453089914999749395844390e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.663
y1[1] (analytic) = 1.7881493287380938685755835804134
y1[1] (numeric) = 1.7881493287380938685755835804134
absolute error = 1e-63
relative error = 5.5923741039329479104366040700099e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6154840660891978301918608531767
y2[1] (numeric) = 1.6154840660891978301918608531767
absolute error = 2e-63
relative error = 1.2380190197985966329535501329468e-61 %
Correct digits = 64
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=101.18
x[1] = 0.664
y1[1] (analytic) = 1.7875334506999538138052260769289
y1[1] (numeric) = 1.7875334506999538138052260769289
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6162719075445703097416488234469
y2[1] (numeric) = 1.6162719075445703097416488234469
absolute error = 2e-63
relative error = 1.2374155553061532163151022105109e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1678.5MB, alloc=4.6MB, time=101.41
x[1] = 0.665
y1[1] (analytic) = 1.7869167851284286868664255048233
y1[1] (numeric) = 1.7869167851284286868664255048233
absolute error = 1e-63
relative error = 5.5962314995442181920704319516449e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6170591327280866007117105665481
y2[1] (numeric) = 1.6170591327280866007117105665481
absolute error = 2e-63
relative error = 1.2368131501943695883097978877529e-61 %
Correct digits = 64
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=101.65
x[1] = 0.666
y1[1] (analytic) = 1.786299332640184007895512888763
y1[1] (numeric) = 1.786299332640184007895512888763
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6178457408525215851878515520396
y2[1] (numeric) = 1.6178457408525215851878515520396
absolute error = 2e-63
relative error = 1.2362118028299179835424275552001e-61 %
Correct digits = 64
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=101.88
x[1] = 0.667
y1[1] (analytic) = 1.7856810938526722136827948944167
y1[1] (numeric) = 1.7856810938526722136827948944167
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6186317311312672042857621550066
y2[1] (numeric) = 1.6186317311312672042857621550066
absolute error = 1e-63
relative error = 6.1780575579171218264321152818247e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.668
y1[1] (analytic) = 1.7850620693841320402201684925159
y1[1] (numeric) = 1.7850620693841320402201684925159
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6194171027783332447590109897005
y2[1] (numeric) = 1.6194171027783332447590109897005
absolute error = 1e-63
relative error = 6.1750613741472914518312290031811e-62 %
Correct digits = 64
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=102.10
x[1] = 0.669
y1[1] (analytic) = 1.7844422598535879044624364868518
y1[1] (numeric) = 1.7844422598535879044624364868518
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6202018550083481249891926567879
y2[1] (numeric) = 1.6202018550083481249891926567879
absolute error = 1e-63
relative error = 6.1720704547326140324668304865098e-62 %
Correct digits = 64
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=102.33
x[1] = 0.67
y1[1] (analytic) = 1.7838216658808492853029421448381
y1[1] (numeric) = 1.7838216658808492853029421448381
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6209859870365596803574439141266
y2[1] (numeric) = 1.6209859870365596803574439141266
absolute error = 1e-63
relative error = 6.1690847915852219097077708295877e-62 %
Correct digits = 64
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=102.56
x[1] = 0.671
y1[1] (analytic) = 1.7832002880865101037641419549564
y1[1] (numeric) = 1.7832002880865101037641419549564
absolute error = 1e-63
relative error = 5.6078950114631545083397319782897e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6217694980788359479965428996171
y2[1] (numeric) = 1.6217694980788359479965428996171
absolute error = 1e-63
relative error = 6.1661043766368143372383271521027e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.672
y1[1] (analytic) = 1.7825781270919481024037363204577
y1[1] (numeric) = 1.7825781270919481024037363204577
absolute error = 1e-63
relative error = 5.6098522965238789371554916479355e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6225523873516659509228066540965
y2[1] (numeric) = 1.6225523873516659509228066540965
absolute error = 1e-63
relative error = 6.1631292018386074511228140250553e-62 %
Correct digits = 64
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=102.79
x[1] = 0.673
y1[1] (analytic) = 1.7819551835193242239369787831393
y1[1] (numeric) = 1.7819551835193242239369787831393
absolute error = 1e-63
relative error = 5.6118134128660907823090795985737e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6233346540721604815470028124424
y2[1] (numeric) = 1.6233346540721604815470028124424
absolute error = 1e-63
relative error = 6.1601592591612843998663836947042e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1705.2MB, alloc=4.6MB, time=103.02
x[1] = 0.674
y1[1] (analytic) = 1.7813314579915819890757851548342
y1[1] (numeric) = 1.7813314579915819890757851548342
absolute error = 1e-63
relative error = 5.6137783651307733474068540274276e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6241162974580528845634919520395
y2[1] (numeric) = 1.6241162974580528845634919520395
absolute error = 1e-63
relative error = 6.1571945405949456339097990750581e-62 %
Correct digits = 64
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=103.25
x[1] = 0.675
y1[1] (analytic) = 1.780706951132446873585264717454
y1[1] (numeric) = 1.780706951132446873585264717454
absolute error = 2e-63
relative error = 1.1231494315940604025958561890078e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6248973167276998392168177095343
y2[1] (numeric) = 1.6248973167276998392168177095343
absolute error = 1e-63
relative error = 6.1542350381490593539982335137212e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.676
y1[1] (analytic) = 1.7800816635664256845582964350008
y1[1] (numeric) = 1.7800816635664256845582964350008
absolute error = 1e-63
relative error = 5.6177197960484688273914052516840e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6256777111000821409449623993491
y2[1] (numeric) = 1.6256777111000821409449623993491
absolute error = 1e-63
relative error = 6.1512807438524121178664113088163e-62 %
Correct digits = 64
memory used=1712.8MB, alloc=4.6MB, time=103.48
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.677
y1[1] (analytic) = 1.7794555959188059359087739029204
y1[1] (numeric) = 1.7794555959188059359087739029204
absolute error = 1e-63
relative error = 5.6196962840405071733296626058600e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6264574797948054823984864907691
y2[1] (numeric) = 1.6264574797948054823984864907691
absolute error = 1e-63
relative error = 6.1483316497530596046846529190630e-62 %
Correct digits = 64
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=103.71
x[1] = 0.678
y1[1] (analytic) = 1.7788287488156552230841435414996
y1[1] (numeric) = 1.7788287488156552230841435414996
absolute error = 1e-63
relative error = 5.6216766266331165100985032164772e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6272366220321012338347709245244
y2[1] (numeric) = 1.6272366220321012338347709245244
absolute error = 2e-63
relative error = 1.2290775495836555073425257627891e-61 %
Correct digits = 64
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=103.94
x[1] = 0.679
y1[1] (analytic) = 1.778201122883820596997861320718
y1[1] (numeric) = 1.778201122883820596997861320718
absolute error = 1e-63
relative error = 5.6236608285244871919611803662921e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6280151370328272228865818746926
y2[1] (numeric) = 1.6280151370328272228865818746926
absolute error = 2e-63
relative error = 1.2284898060869025515219712010132e-61 %
Correct digits = 64
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=104.17
x[1] = 0.68
y1[1] (analytic) = 1.7775727187509279371823940840443
y1[1] (numeric) = 1.7775727187509279371823940840443
absolute error = 1e-63
relative error = 5.6256488944243253627599416585288e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6287930240184685137041781874202
y2[1] (numeric) = 1.6287930240184685137041781874202
absolute error = 2e-63
relative error = 1.2279030978814668933708383063574e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.681
y1[1] (analytic) = 1.7769435370453813241633923181245
y1[1] (numeric) = 1.7769435370453813241633923181245
absolute error = 1e-63
relative error = 5.6276408290538779270517496874776e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6295702822111381854701823544214
y2[1] (numeric) = 1.6295702822111381854701823544214
absolute error = 2e-63
relative error = 1.2273174233922771219443575184827e-61 %
Correct digits = 64
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=104.40
x[1] = 0.682
y1[1] (analytic) = 1.776313578396362411055661994136
y1[1] (numeric) = 1.776313578396362411055661994136
absolute error = 2e-63
relative error = 1.1259273274291915195993102166187e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6303469108335781102864365064475
y2[1] (numeric) = 1.6303469108335781102864365064475
absolute error = 2e-63
relative error = 1.2267327810480668844568347328931e-61 %
Correct digits = 64
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=104.63
x[1] = 0.683
y1[1] (analytic) = 1.7756828434338297943815638847851
y1[1] (numeric) = 1.7756828434338297943815638847851
absolute error = 2e-63
relative error = 1.1263272646889936044472017370623e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6311229091091597304320655399362
y2[1] (numeric) = 1.6311229091091597304320655399362
absolute error = 3e-63
relative error = 1.8392237539220478392640965675487e-61 %
Correct digits = 64
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=104.86
x[1] = 0.684
y1[1] (analytic) = 1.7750513327885183841124695384931
y1[1] (numeric) = 1.7750513327885183841124695384931
absolute error = 2e-63
relative error = 1.1267279785413857964003021964145e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.631898276261884834991970118843
y2[1] (numeric) = 1.631898276261884834991970118843
absolute error = 3e-63
relative error = 1.8383498797927304416571199840809e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.685
y1[1] (analytic) = 1.7744190470919387729339038692666
y1[1] (numeric) = 1.7744190470919387729339038692666
absolute error = 1e-63
relative error = 5.6356473496995016746911759121298e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6326730115163863358549729232243
y2[1] (numeric) = 1.6326730115163863358549729232243
absolute error = 2e-63
relative error = 1.2249850312295230733413507766394e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1739.5MB, alloc=4.6MB, time=105.09
TOP MAIN SOLVE Loop
x[1] = 0.686
y1[1] (analytic) = 1.7737859869763766047350050970526
y1[1] (numeric) = 1.7737859869763766047350050970526
absolute error = 1e-63
relative error = 5.6376586992020140701564727058701e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6334471140979290430808421464934
y2[1] (numeric) = 1.6334471140979290430808421464934
absolute error = 3e-63
relative error = 1.8366067527424967235199476671144e-61 %
Correct digits = 64
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=105.31
x[1] = 0.687
y1[1] (analytic) = 1.7731521530748919423229335490696
y1[1] (numeric) = 1.7731521530748919423229335490696
absolute error = 1e-63
relative error = 5.6396739460054863459399956310005e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6342205832324104396354168743885
y2[1] (numeric) = 1.6342205832324104396354168743885
absolute error = 2e-63
relative error = 1.2238249967725258386757723467291e-61 %
Correct digits = 64
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=105.55
x[1] = 0.688
y1[1] (analytic) = 1.7725175460213186343628616076503
y1[1] (numeric) = 1.7725175460213186343628616076503
absolute error = 2e-63
relative error = 1.1283386189825312801413674682954e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6349934181463614554930596105924
y2[1] (numeric) = 1.6349934181463614554930596105924
absolute error = 2e-63
relative error = 1.2232465145134693500698830083739e-61 %
Correct digits = 64
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=105.78
x[1] = 0.689
y1[1] (analytic) = 1.7718821664502636815441778645549
y1[1] (numeric) = 1.7718821664502636815441778645549
absolute error = 1e-63
relative error = 5.6437161507380054461129270140034e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6357656180669472411056618466169
y2[1] (numeric) = 1.6357656180669472411056618466169
absolute error = 2e-63
relative error = 1.2226690535062619711343541118582e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.69
y1[1] (analytic) = 1.7712460149971066019735393154978
y1[1] (numeric) = 1.7712460149971066019735393154978
absolute error = 2e-63
relative error = 1.1291486236615567354709239226840e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6365371822219679402374292070087
y2[1] (numeric) = 1.6365371822219679402374292070087
absolute error = 2e-63
relative error = 1.2220926122097326231653112064013e-61 %
Correct digits = 64
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=106.00
x[1] = 0.691
y1[1] (analytic) = 1.7706090922979987957954062017814
y1[1] (numeric) = 1.7706090922979987957954062017814
absolute error = 2e-63
relative error = 1.1295548004920072045289494946046e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6373081098398594621646733351585
y2[1] (numeric) = 1.6373081098398594621646733351585
absolute error = 2e-63
relative error = 1.2215171890864294440191817227266e-61 %
Correct digits = 64
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=106.23
x[1] = 0.692
y1[1] (analytic) = 1.7699713989898629090406948784514
y1[1] (numeric) = 1.7699713989898629090406948784514
absolute error = 2e-63
relative error = 1.1299617616089255943722547850159e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6380784001496942532398383199832
y2[1] (numeric) = 1.6380784001496942532398383199832
absolute error = 2e-63
relative error = 1.2209427826026104012541353175521e-61 %
Correct digits = 64
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=106.46
x[1] = 0.693
y1[1] (analytic) = 1.7693329357103921967041848602655
y1[1] (numeric) = 1.7693329357103921967041848602655
absolute error = 2e-63
relative error = 1.1303695079846542969231241974702e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.638848052381182067818990099522
y2[1] (numeric) = 1.638848052381182067818990099522
absolute error = 2e-63
relative error = 1.2203693912282339351059128394907e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.694
y1[1] (analytic) = 1.7686937030980498850513169680168
y1[1] (numeric) = 1.7686937030980498850513169680168
absolute error = 2e-63
relative error = 1.1307780405939101955977358240632e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.639617065764670738551997914018
y2[1] (numeric) = 1.639617065764670738551997914018
absolute error = 2e-63
relative error = 1.2197970134369496311943096311352e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1766.2MB, alloc=4.6MB, time=106.69
TOP MAIN SOLVE Loop
x[1] = 0.695
y1[1] (analytic) = 1.7680537017920685331550202683599
y1[1] (numeric) = 1.7680537017920685331550202683599
absolute error = 2e-63
relative error = 1.1311873604137898788366893667801e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6403854395311469460346375183712
y2[1] (numeric) = 1.6403854395311469460346375183712
absolute error = 2e-63
relative error = 1.2192256477060889228569944726564e-61 %
Correct digits = 64
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=106.93
x[1] = 0.696
y1[1] (analytic) = 1.7674129324324493936632062702603
y1[1] (numeric) = 1.7674129324324493936632062702603
absolute error = 2e-63
relative error = 1.1315974684237748696688382918167e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.641153172912236987821846501921
y2[1] (numeric) = 1.641153172912236987821846501921
absolute error = 2e-63
relative error = 1.2186552925166558230077592388805e-61 %
Correct digits = 64
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=107.16
x[1] = 0.697
y1[1] (analytic) = 1.7667713956599617727975696105186
y1[1] (numeric) = 1.7667713956599617727975696105186
absolute error = 2e-63
relative error = 1.1320083656057368713585939451734e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6419202651402075468013627023692
y2[1] (numeric) = 1.6419202651402075468013627023692
absolute error = 2e-63
relative error = 1.2180859463533176854167062933971e-61 %
Correct digits = 64
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=107.39
x[1] = 0.698
y1[1] (analytic) = 1.7661290921161423895843352295162
y1[1] (numeric) = 1.7661290921161423895843352295162
absolute error = 2e-63
relative error = 1.1324200529439430291870595844104e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6426867154479664589269773402679
y2[1] (numeric) = 1.6426867154479664589269773402679
absolute error = 2e-63
relative error = 1.2175176077043959953102907886075e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.699
y1[1] (analytic) = 1.765486022443294734317592806382
y1[1] (numeric) = 1.765486022443294734317592806382
absolute error = 1e-63
relative error = 5.6641626571253060420877163644423e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.643452523069063480310635140883
y2[1] (numeric) = 1.643452523069063480310635140883
absolute error = 2e-63
relative error = 1.2169502750618571891895433885376e-61 %
Correct digits = 64
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=107.62
x[1] = 0.7
y1[1] (analytic) = 1.7648421872844884262558599901919
y1[1] (numeric) = 1.7648421872844884262558599901919
absolute error = 1e-63
relative error = 5.6662290101908264424809517128611e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6442176872376910536726143513987
y2[1] (numeric) = 1.6442176872376910536726143513987
absolute error = 2e-63
relative error = 1.2163839469213035037652054904255e-61 %
Correct digits = 64
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=107.85
x[1] = 0.701
y1[1] (analytic) = 1.7641975872835585705525167305838
y1[1] (numeric) = 1.7641975872835585705525167305838
absolute error = 1e-63
relative error = 5.6682993288737023676933433153207e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6449822071886850741490202033441
y2[1] (numeric) = 1.6449822071886850741490202033441
absolute error = 2e-63
relative error = 1.2158186217819638539089138002526e-61 %
Correct digits = 64
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=108.08
x[1] = 0.702
y1[1] (analytic) = 1.7635522230851051144207537773021
y1[1] (numeric) = 1.7635522230851051144207537773021
absolute error = 1e-63
relative error = 5.6703736181434430957701663073654e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6457460821575256544558260128154
y2[1] (numeric) = 1.6457460821575256544558260128154
absolute error = 2e-63
relative error = 1.2152542981466847395199741251423e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.703
y1[1] (analytic) = 1.7629060953344922025336791836665
y1[1] (numeric) = 1.7629060953344922025336791836665
absolute error = 1e-63
relative error = 5.6724518829816678782854546177416e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6465093113803378894086967545133
y2[1] (numeric) = 1.6465093113803378894086967545133
absolute error = 2e-63
relative error = 1.2146909745219211812076654905059e-61 %
Correct digits = 64
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=108.31
x[1] = 0.704
y1[1] (analytic) = 1.7622592046778475316602274138083
y1[1] (numeric) = 1.7622592046778475316602274138083
absolute error = 1e-63
relative error = 5.6745341283821327386039013739062e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6472718940938926197978305898392
y2[1] (numeric) = 1.6472718940938926197978305898392
absolute error = 2e-63
relative error = 1.2141286494177276846894151805094e-61 %
Correct digits = 64
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=108.54
x[1] = 0.705
y1[1] (analytic) = 1.7616115517620617045375164177085
y1[1] (numeric) = 1.7616115517620617045375164177085
absolute error = 1e-63
relative error = 5.6766203593507573526013924723276e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6480338295356071956170544742679
y2[1] (numeric) = 1.6480338295356071956170544742679
absolute error = 2e-63
relative error = 1.2135673213477492338055830453800e-61 %
Correct digits = 64
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=108.77
x[1] = 0.706
y1[1] (analytic) = 1.7609631372347875829802988016283
y1[1] (numeric) = 1.7609631372347875829802988016283
absolute error = 1e-63
relative error = 5.6787105809056520121037112980118e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6487951169435462386464106149696
y2[1] (numeric) = 1.6487951169435462386464106149696
absolute error = 2e-63
relative error = 1.2130069888292123120519894267133e-61 %
Correct digits = 64
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=109.00
x[1] = 0.707
y1[1] (analytic) = 1.7603139617444396402281539844266
y1[1] (numeric) = 1.7603139617444396402281539844266
absolute error = 1e-63
relative error = 5.6808047980771446713039387632485e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6495557555564224043874711961547
y2[1] (numeric) = 1.6495557555564224043874711961547
absolute error = 2e-63
relative error = 1.2124476503829159525317153307095e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.708
y1[1] (analytic) = 1.7596640259401933125310689925183
y1[1] (numeric) = 1.7596640259401933125310689925183
absolute error = 1e-63
relative error = 5.6829030159078080764200630053416e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6503157446135971433506194368912
y2[1] (numeric) = 1.6503157446135971433506194368912
absolute error = 1e-63
relative error = 6.0594465226661140811404801875602e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1808.2MB, alloc=4.6MB, time=109.23
x[1] = 0.709
y1[1] (analytic) = 1.7590133304719843499740563078382
y1[1] (numeric) = 1.7590133304719843499740563078382
absolute error = 1e-63
relative error = 5.6850052394524869788553072552736e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6510750833550814616935356941786
y2[1] (numeric) = 1.6510750833550814616935356941786
absolute error = 1e-63
relative error = 6.0566597490402514925061009044247e-62 %
Correct digits = 64
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=109.46
x[1] = 0.71
y1[1] (analytic) = 1.7583618759905081665414579441396
y1[1] (numeric) = 1.7583618759905081665414579441396
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6518337710215366812101279728528
y2[1] (numeric) = 1.6518337710215366812101279728528
absolute error = 2e-63
relative error = 1.2107755847388616637106354746180e-61 %
Correct digits = 64
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=109.69
x[1] = 0.711
y1[1] (analytic) = 1.7577096631472191894215856872678
y1[1] (numeric) = 1.7577096631472191894215856872678
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6525918068542751986691468534576
y2[1] (numeric) = 1.6525918068542751986691468534576
absolute error = 2e-63
relative error = 1.2102202078606572078673497085331e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.712
y1[1] (analytic) = 1.7570566925943302075523481947161
y1[1] (numeric) = 1.7570566925943302075523481947161
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6533491900952612445017254995287
y2[1] (numeric) = 1.6533491900952612445017254995287
absolute error = 2e-63
relative error = 1.2096658177119654492186013959750e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1819.6MB, alloc=4.6MB, time=109.92
x[1] = 0.713
y1[1] (analytic) = 1.7564029649848117194085164087805
y1[1] (numeric) = 1.7564029649848117194085164087805
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6541059199871116408370860568158
y2[1] (numeric) = 1.6541059199871116408370860568158
absolute error = 2e-63
relative error = 1.2091124128348343466692585343587e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1823.4MB, alloc=4.6MB, time=110.15
x[1] = 0.714
y1[1] (analytic) = 1.7557484809723912800312794959955
y1[1] (numeric) = 1.7557484809723912800312794959955
absolute error = 1e-63
relative error = 5.6955766206681670937925298835031e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6548619957730965588856544087971
y2[1] (numeric) = 1.6548619957730965588856544087971
absolute error = 2e-63
relative error = 1.2085599917748225459440863488189e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1827.2MB, alloc=4.6MB, time=110.38
x[1] = 0.715
y1[1] (analytic) = 1.7550932412115528473007442832391
y1[1] (numeric) = 1.7550932412115528473007442832391
absolute error = 1e-63
relative error = 5.6977029853393610729411425631622e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.655617416697140275668825905437
y2[1] (numeric) = 1.655617416697140275668825905437
absolute error = 2e-63
relative error = 1.2080085530809906533955056343339e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1831.0MB, alloc=4.6MB, time=110.61
x[1] = 0.716
y1[1] (analytic) = 1.7544372463575361274520319179542
y1[1] (numeric) = 1.7544372463575361274520319179542
absolute error = 1e-63
relative error = 5.6998333914544035176608482975868e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6563721820038219300946253354824
y2[1] (numeric) = 1.6563721820038219300946253354824
absolute error = 2e-63
relative error = 1.2074580953058925373618424019062e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.717
y1[1] (analytic) = 1.7537804970663359198356262363344
y1[1] (numeric) = 1.7537804970663359198356262363344
absolute error = 2e-63
relative error = 1.1403935688334610004713718861242e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6571262909383762783785050667013
y2[1] (numeric) = 1.6571262909383762783785050667013
absolute error = 2e-63
relative error = 1.2069086170055666569814469774412e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1834.9MB, alloc=4.6MB, time=110.84
x[1] = 0.718
y1[1] (analytic) = 1.7531229939947014609226290790717
y1[1] (numeric) = 1.7531229939947014609226290790717
absolute error = 2e-63
relative error = 1.1408212697289193652992236042387e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6578797427466944488085259333295
y2[1] (numeric) = 1.6578797427466944488085259333295
absolute error = 3e-63
relative error = 1.8095401751092911275526547587571e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1838.7MB, alloc=4.6MB, time=111.07
x[1] = 0.719
y1[1] (analytic) = 1.7524647378001357675555785493557
y1[1] (numeric) = 1.7524647378001357675555785493557
absolute error = 2e-63
relative error = 1.1412497820130718154908780230382e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6586325366753246958541661056053
y2[1] (numeric) = 1.6586325366753246958541661056053
absolute error = 3e-63
relative error = 1.8087188896061348370842834780540e-61 %
Correct digits = 64
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=111.31
x[1] = 0.72
y1[1] (analytic) = 1.7518057291408949794454869622519
y1[1] (numeric) = 1.7518057291408949794454869622519
absolute error = 2e-63
relative error = 1.1416791067242497559640900767494e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6593846719714731536180038326482
y2[1] (numeric) = 1.6593846719714731536180038326482
absolute error = 3e-63
relative error = 1.8078990668485418304226342598253e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.721
y1[1] (analytic) = 1.7511459686759877009157559883658
y1[1] (numeric) = 1.7511459686759877009157559883658
absolute error = 1e-63
relative error = 5.7105462245165281314321146496836e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6601361478830045886295206070606
y2[1] (numeric) = 1.6601361478830045886295206070606
absolute error = 2e-63
relative error = 1.2047204697942320613514003031986e-61 %
Correct digits = 64
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=111.53
x[1] = 0.722
y1[1] (analytic) = 1.750485457065174341893627247823
y1[1] (numeric) = 1.750485457065174341893627247823
absolute error = 1e-63
relative error = 5.7127009879680928264199257266365e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6608869636584431519802719575123
y2[1] (numeric) = 1.6608869636584431519802719575123
absolute error = 3e-63
relative error = 1.8062638009945520714917433235514e-61 %
Correct digits = 64
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=111.77
x[1] = 0.723
y1[1] (analytic) = 1.7498241949689664581498273630602
y1[1] (numeric) = 1.7498241949689664581498273630602
absolute error = 1e-63
relative error = 5.7148598292055004655353501651973e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6616371185469731307996737341996
y2[1] (numeric) = 1.6616371185469731307996737341996
absolute error = 3e-63
relative error = 1.8054483536233019209201043380477e-61 %
Correct digits = 64
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=112.00
x[1] = 0.724
y1[1] (analytic) = 1.7491621830486260907870672307261
y1[1] (numeric) = 1.7491621830486260907870672307261
absolute error = 1e-63
relative error = 5.7170227534709990540413999569278e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6623866117984396990706524114553
y2[1] (numeric) = 1.6623866117984396990706524114553
absolute error = 3e-63
relative error = 1.8046343604478827725059397777911e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.725
memory used=1857.7MB, alloc=4.6MB, time=112.23
y1[1] (analytic) = 1.7484994219661651049780560241387
y1[1] (numeric) = 1.7484994219661651049780560241387
absolute error = 1e-63
relative error = 5.7191897660195555874446540099683e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6631354426633496677844085919225
y2[1] (numeric) = 1.6631354426633496677844085919225
absolute error = 3e-63
relative error = 1.8038218193437040561823866311390e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.726
y1[1] (analytic) = 1.7478359123843445279536911882302
y1[1] (numeric) = 1.7478359123843445279536911882302
absolute error = 1e-63
relative error = 5.7213608721188847253487192990252e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6638836103928722344335435575901
y2[1] (numeric) = 1.6638836103928722344335435575901
absolute error = 3e-63
relative error = 1.8030107281912868572026132690873e-61 %
Correct digits = 64
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=112.46
x[1] = 0.727
y1[1] (analytic) = 1.7471716549666738862420864387327
y1[1] (numeric) = 1.7471716549666738862420864387327
absolute error = 1e-63
relative error = 5.7235360770494775537102410276593e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6646311142388397318427993746266
y2[1] (numeric) = 1.6646311142388397318427993746266
absolute error = 4e-63
relative error = 2.4029347798350017513540672817249e-61 %
Correct digits = 64
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=112.69
x[1] = 0.728
y1[1] (analytic) = 1.7465066503774105421591005265237
y1[1] (numeric) = 1.7465066503774105421591005265237
absolute error = 1e-63
relative error = 5.7257153861046304357796449420154e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6653779534537483763366637213347
y2[1] (numeric) = 1.6653779534537483763366637213347
absolute error = 4e-63
relative error = 2.4018571830524054037344507513129e-61 %
Correct digits = 64
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=112.92
x[1] = 0.729
y1[1] (analytic) = 1.7458408992815590295510302765453
y1[1] (numeric) = 1.7458408992815590295510302765453
absolute error = 1e-63
relative error = 5.7278988045904739520098731225252e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.666124127290759015243091271684
y2[1] (numeric) = 1.666124127290759015243091271684
absolute error = 4e-63
relative error = 2.4007815111016342253702135106120e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.73
y1[1] (analytic) = 1.7451744023448703887901321585503
y1[1] (numeric) = 1.7451744023448703887901321585503
absolute error = 1e-63
relative error = 5.7300863378260019292174571738852e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6668696350036978737325941307615
y2[1] (numeric) = 1.6668696350036978737325941307615
absolute error = 4e-63
relative error = 2.3997077611838109845369017811264e-61 %
Correct digits = 64
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=113.15
x[1] = 0.731
y1[1] (analytic) = 1.7445071602338415010236373940972
y1[1] (numeric) = 1.7445071602338415010236373940972
absolute error = 1e-63
relative error = 5.7322779911431005592813597540480e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6676144758470573009919544831147
y2[1] (numeric) = 1.6676144758470573009919544831147
absolute error = 4e-63
relative error = 2.3986359305067904994303870762819e-61 %
Correct digits = 64
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=113.38
x[1] = 0.732
y1[1] (analytic) = 1.7438391736157144216769263507235
y1[1] (numeric) = 1.7438391736157144216769263507235
absolute error = 1e-63
relative error = 5.7344737698865776076661068504712e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6683586490759965157318132803332
y2[1] (numeric) = 1.6683586490759965157318132803332
absolute error = 4e-63
relative error = 2.3975660162851430972653681655344e-61 %
Correct digits = 64
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=113.61
x[1] = 0.733
y1[1] (analytic) = 1.7431704431584757132115287200688
y1[1] (numeric) = 1.7431704431584757132115287200688
absolute error = 2e-63
relative error = 1.1473347358828383424113658293888e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6691021539463423510273894603448
y2[1] (numeric) = 1.6691021539463423510273894603448
absolute error = 4e-63
relative error = 2.3964980157401381253577496847286e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.734
y1[1] (analytic) = 1.7425009695308557771386167218896
y1[1] (numeric) = 1.7425009695308557771386167218896
absolute error = 2e-63
relative error = 1.1477755450193363542789862495102e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6698449897145899984915848577685
y2[1] (numeric) = 1.6698449897145899984915848577685
absolute error = 4e-63
relative error = 2.3954319260997275140139978018488e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1884.5MB, alloc=4.6MB, time=113.84
TOP MAIN SOLVE Loop
x[1] = 0.735
y1[1] (analytic) = 1.7418307534023281852886593204188
y1[1] (numeric) = 1.7418307534023281852886593204188
absolute error = 2e-63
relative error = 1.1482171824635592851208424912878e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6705871556379037517797306322801
y2[1] (numeric) = 1.6705871556379037517797306322801
absolute error = 3e-63
relative error = 1.7957758084488970432884536800586e-61 %
Correct digits = 64
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=114.07
x[1] = 0.736
y1[1] (analytic) = 1.7411597954431090103379061833593
y1[1] (numeric) = 1.7411597954431090103379061833593
absolute error = 1e-63
relative error = 5.7432982464743236262983722738505e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.671328650974117749425231710308
y2[1] (numeric) = 1.671328650974117749425231710308
absolute error = 3e-63
relative error = 1.7949791013583588108296178849220e-61 %
Correct digits = 64
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=114.30
x[1] = 0.737
y1[1] (analytic) = 1.7404880963241561555923708569716
y1[1] (numeric) = 1.7404880963241561555923708569716
absolute error = 2e-63
relative error = 1.1491029465952240597523895562478e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.672069474981736717005366404475
y2[1] (numeric) = 1.672069474981736717005366404475
absolute error = 3e-63
relative error = 1.7941838212391071171678933423869e-61 %
Correct digits = 64
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=114.53
x[1] = 0.738
y1[1] (analytic) = 1.7398156567171686840299833732174
y1[1] (numeric) = 1.7398156567171686840299833732174
absolute error = 1e-63
relative error = 5.7477353772461420954978486722642e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6728096269199367086364990450493
y2[1] (numeric) = 1.6728096269199367086364990450493
absolute error = 4e-63
relative error = 2.3911866213760415375537143859257e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.739
y1[1] (analytic) = 1.7391424772945861466015832467493
y1[1] (numeric) = 1.7391424772945861466015832467493
absolute error = 1e-63
relative error = 5.7499601847204732416357788631293e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6735491060485658477979641282533
y2[1] (numeric) = 1.6735491060485658477979641282533
absolute error = 3e-63
relative error = 1.7925975336829709859832143797966e-61 %
Correct digits = 64
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=114.76
x[1] = 0.74
y1[1] (analytic) = 1.7384685587295879097914245606988
y1[1] (numeric) = 1.7384685587295879097914245606988
absolute error = 1e-63
relative error = 5.7521891608483564724969614063410e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6742879116281450674838811576082
y2[1] (numeric) = 1.6742879116281450674838811576082
absolute error = 3e-63
relative error = 1.7918065221427054616239248950193e-61 %
Correct digits = 64
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=114.99
x[1] = 0.741
y1[1] (analytic) = 1.7377939016960924824378655807009
y1[1] (numeric) = 1.7377939016960924824378655807009
absolute error = 1e-63
relative error = 5.7544223110922230636117158578452e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6750260429198688496821600265609
y2[1] (numeric) = 1.6750260429198688496821600265609
absolute error = 3e-63
relative error = 1.7910169293669401454129501311235e-61 %
Correct digits = 64
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=115.22
x[1] = 0.742
y1[1] (analytic) = 1.7371185068687568418149160764094
y1[1] (numeric) = 1.7371185068687568418149160764094
absolute error = 1e-63
relative error = 5.7566596409277229534875743300588e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6757634991856059641799574634498
y2[1] (numeric) = 1.6757634991856059641799574634498
absolute error = 4e-63
relative error = 2.3869716710883937337254261226660e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.743
y1[1] (analytic) = 1.7364423749229757589753162689006
y1[1] (numeric) = 1.7364423749229757589753162689006
absolute error = 1e-63
relative error = 5.7589011558437549594267642241214e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.676500279687900206694845733414
y2[1] (numeric) = 1.676500279687900206694845733414
absolute error = 4e-63
relative error = 2.3859226559417252037449687359172e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1911.2MB, alloc=4.6MB, time=115.45
TOP MAIN SOLVE Loop
x[1] = 0.744
y1[1] (analytic) = 1.7357655065348811233558220608284
y1[1] (numeric) = 1.7357655065348811233558220608284
absolute error = 1e-63
relative error = 5.7611468613424970866930320953778e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6772363836899711363309554661397
y2[1] (numeric) = 1.6772363836899711363309554661397
absolute error = 4e-63
relative error = 2.3848755243431329288431524135634e-61 %
Correct digits = 64
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=115.68
x[1] = 0.745
y1[1] (analytic) = 1.7350879023813412666453719439904
y1[1] (numeric) = 1.7350879023813412666453719439904
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6779718104557148123593551533613
y2[1] (numeric) = 1.6779718104557148123593551533613
absolute error = 4e-63
relative error = 2.3838302735930070447208600819974e-61 %
Correct digits = 64
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=115.91
x[1] = 0.746
y1[1] (analytic) = 1.7344095631399602859168117160826
y1[1] (numeric) = 1.7344095631399602859168117160826
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6787065592497045303219305358001
y2[1] (numeric) = 1.6787065592497045303219305358001
absolute error = 4e-63
relative error = 2.3827869009982270022386856783806e-61 %
Correct digits = 64
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=116.15
x[1] = 0.747
y1[1] (analytic) = 1.7337304894890773660228538748591
y1[1] (numeric) = 1.7337304894890773660228538748591
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6794406293371915574580277757215
y2[1] (numeric) = 1.6794406293371915574580277757215
absolute error = 4e-63
relative error = 2.3817454038721457880127608745247e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.748
y1[1] (analytic) = 1.7330506821077661012569492936833
y1[1] (numeric) = 1.7330506821077661012569492936833
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6801740199841058674531249885306
y2[1] (numeric) = 1.6801740199841058674531249885306
absolute error = 4e-63
relative error = 2.3807057795345741944129298709774e-61 %
Correct digits = 64
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=116.37
x[1] = 0.749
y1[1] (analytic) = 1.7323701416758338162797495175416
y1[1] (numeric) = 1.7323701416758338162797495175416
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6809067304570568745087973847929
y2[1] (numeric) = 1.6809067304570568745087973847929
absolute error = 4e-63
relative error = 2.3796680253117651387965368443052e-61 %
Correct digits = 64
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=116.60
x[1] = 0.75
y1[1] (analytic) = 1.7316888688738208863118387530001
y1[1] (numeric) = 1.7316888688738208863118387530001
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6816387600233341667332419527799
y2[1] (numeric) = 1.6816387600233341667332419527799
absolute error = 4e-63
relative error = 2.3786321385363980318117452389586e-61 %
Correct digits = 64
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=116.84
x[1] = 0.751
y1[1] (analytic) = 1.7310068643830000565934153593164
y1[1] (numeric) = 1.7310068643830000565934153593164
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6823701079509082388516282910726
y2[1] (numeric) = 1.6823701079509082388516282910726
absolute error = 5e-63
relative error = 2.9719976456844539932561998815964e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.752
y1[1] (analytic) = 1.7303241288853757611116033809685
y1[1] (numeric) = 1.7303241288853757611116033809685
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6831007735084312242355428809353
y2[1] (numeric) = 1.6831007735084312242355428809353
absolute error = 5e-63
relative error = 2.9707074458634329059594651380785e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1937.9MB, alloc=4.6MB, time=117.07
x[1] = 0.753
y1[1] (analytic) = 1.729640663063683440596075394231
y1[1] (numeric) = 1.729640663063683440596075394231
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6838307559652376262507947690758
y2[1] (numeric) = 1.6838307559652376262507947690758
absolute error = 5e-63
relative error = 2.9694195703972662635723671286742e-61 %
Correct digits = 64
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=117.30
x[1] = 0.754
y1[1] (analytic) = 1.7289564676013888597836686721214
y1[1] (numeric) = 1.7289564676013888597836686721214
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6845600545913450489228513130465
y2[1] (numeric) = 1.6845600545913450489228513130465
absolute error = 5e-63
relative error = 2.9681340159837416191684877570085e-61 %
Correct digits = 64
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=117.53
x[1] = 0.755
y1[1] (analytic) = 1.7282715431826874239526774030409
y1[1] (numeric) = 1.7282715431826874239526774030409
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6852886686574549269191733239135
y2[1] (numeric) = 1.6852886686574549269191733239135
absolute error = 5e-63
relative error = 2.9668507793285828571752042039840e-61 %
Correct digits = 64
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=117.76
x[1] = 0.756
y1[1] (analytic) = 1.7275858904925034947275044287623
y1[1] (numeric) = 1.7275858904925034947275044287623
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6860165974349532548477196239165
y2[1] (numeric) = 1.6860165974349532548477196239165
absolute error = 5e-63
relative error = 2.9655698571454310174600896077215e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.757
y1[1] (analytic) = 1.7268995102164897051543566970552
y1[1] (numeric) = 1.7268995102164897051543566970552
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.686743840195911315870891720679
y2[1] (numeric) = 1.686743840195911315870891720679
absolute error = 5e-63
relative error = 2.9642912461558251793236410397979e-61 %
Correct digits = 64
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=117.99
x[1] = 0.758
y1[1] (analytic) = 1.7262124030410262740486693531968
y1[1] (numeric) = 1.7262124030410262740486693531968
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6874703962130864096341899840818
y2[1] (numeric) = 1.6874703962130864096341899840818
absolute error = 4e-63
relative error = 2.3704119544713467241577242540744e-61 %
Correct digits = 64
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=118.22
x[1] = 0.759
y1[1] (analytic) = 1.725524569653220319614944122886
y1[1] (numeric) = 1.725524569653220319614944122886
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6881962647599225795088533972068
y2[1] (numeric) = 1.6881962647599225795088533972068
absolute error = 4e-63
relative error = 2.3693927557462269950762884517932e-61 %
Correct digits = 64
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=118.45
x[1] = 0.76
y1[1] (analytic) = 1.724836010740905172339688366667
y1[1] (numeric) = 1.724836010740905172339688366667
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6889214451105513391477556387697
y2[1] (numeric) = 1.6889214451105513391477556387697
absolute error = 4e-63
relative error = 2.3683753981453962342993563621979e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.761
y1[1] (analytic) = 1.7241467269926396871581419128634
y1[1] (numeric) = 1.7241467269926396871581419128634
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6896459365397923983538309412086
y2[1] (numeric) = 1.6896459365397923983538309412086
absolute error = 5e-63
relative error = 2.9591998488390093203449087426370e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1964.6MB, alloc=4.6MB, time=118.68
x[1] = 0.762
y1[1] (analytic) = 1.7234567190977075548954795022417
y1[1] (numeric) = 1.7234567190977075548954795022417
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6903697383231543882603038560603
y2[1] (numeric) = 1.6903697383231543882603038560603
absolute error = 5e-63
relative error = 2.9579327449153204452964291118941e-61 %
Correct digits = 64
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=118.91
x[1] = 0.763
y1[1] (analytic) = 1.7227659877461166129831774031417
y1[1] (numeric) = 1.7227659877461166129831774031417
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6910928497368355858219977464571
y2[1] (numeric) = 1.6910928497368355858219977464571
absolute error = 6e-63
relative error = 3.5480015192150494523744751774624e-61 %
Correct digits = 64
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=119.14
x[1] = 0.764
y1[1] (analytic) = 1.722074533628598155451233480652
y1[1] (numeric) = 1.722074533628598155451233480652
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6918152700577246376169975154955
y2[1] (numeric) = 1.6918152700577246376169975154955
absolute error = 5e-63
relative error = 2.9554054089069667126006794968616e-61 %
Correct digits = 64
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=119.37
x[1] = 0.765
y1[1] (analytic) = 1.7213823574366062421969307275509
y1[1] (numeric) = 1.7213823574366062421969307275509
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6925369985634012829579427688738
y2[1] (numeric) = 1.6925369985634012829579427688738
absolute error = 6e-63
relative error = 3.5449742044591671520759823915308e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.766
y1[1] (analytic) = 1.7206894598623170075308349881932
y1[1] (numeric) = 1.7206894598623170075308349881932
absolute error = 1e-63
relative error = 5.8116239061522244522288037195190e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6932580345321370763122283005656
y2[1] (numeric) = 1.6932580345321370763122283005656
absolute error = 6e-63
relative error = 3.5434646566775959425802850037073e-61 %
Correct digits = 64
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=119.59
x[1] = 0.767
y1[1] (analytic) = 1.7199958415986279680007183292872
y1[1] (numeric) = 1.7199958415986279680007183292872
absolute error = 1e-63
relative error = 5.8139675446573341003326614951148e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6939783772428961090303894813906
y2[1] (numeric) = 1.6939783772428961090303894813906
absolute error = 5e-63
relative error = 2.9516315362525198186475268940002e-61 %
Correct digits = 64
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=119.82
x[1] = 0.768
y1[1] (analytic) = 1.7193015033391573294941002335805
y1[1] (numeric) = 1.7193015033391573294941002335805
absolute error = 1e-63
relative error = 5.8163155098616545350511481733817e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6946980259753357303819508221551
y2[1] (numeric) = 1.6946980259753357303819508221551
absolute error = 5e-63
relative error = 2.9503781342533816828665039704205e-61 %
Correct digits = 64
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=120.06
x[1] = 0.769
y1[1] (analytic) = 1.7186064457782432936200995138551
y1[1] (numeric) = 1.7186064457782432936200995138551
absolute error = 1e-63
relative error = 5.8186678076094732677001918187071e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6954169800098072678980166755753
y2[1] (numeric) = 1.6954169800098072678980166755753
absolute error = 5e-63
relative error = 2.9491270047154282490431824668398e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.77
y1[1] (analytic) = 1.7179106696109433633712905653243
y1[1] (numeric) = 1.7179106696109433633712905653243
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6961352386273567470198837344522
y2[1] (numeric) = 1.6961352386273567470198837344522
absolute error = 5e-63
relative error = 2.9478781444611604470892052110335e-61 %
Correct digits = 64
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=120.28
x[1] = 0.771
y1[1] (analytic) = 1.7172141755330336480662582945144
y1[1] (numeric) = 1.7172141755330336480662582945144
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.696852801109725610052955677546
y2[1] (numeric) = 1.696852801109725610052955677546
absolute error = 5e-63
relative error = 2.9466315503207158011697049335597e-61 %
Correct digits = 64
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=120.51
x[1] = 0.772
y1[1] (analytic) = 1.7165169642410081675735467820204
y1[1] (numeric) = 1.7165169642410081675735467820204
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6975696667393514344252410092942
y2[1] (numeric) = 1.6975696667393514344252410092942
absolute error = 5e-63
relative error = 2.9453872191318501885843045537614e-61 %
Correct digits = 64
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=120.74
x[1] = 0.773
y1[1] (analytic) = 1.7158190364320781558176974551284
y1[1] (numeric) = 1.7158190364320781558176974551284
absolute error = 1e-63
relative error = 5.8281204414157091026641783742145e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6982858347993686502497158349369
y2[1] (numeric) = 1.6982858347993686502497158349369
absolute error = 5e-63
relative error = 2.9441451477399196554282099783379e-61 %
Correct digits = 64
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=120.98
x[1] = 0.774
y1[1] (analytic) = 1.7151203928041713635680732642085
y1[1] (numeric) = 1.7151203928041713635680732642085
absolute error = 1e-63
relative error = 5.8304944900400223890920756039304e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6990013045736092571898340087447
y2[1] (numeric) = 1.6990013045736092571898340087447
absolute error = 4e-63
relative error = 2.3543242663982898310755364143915e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.775
y1[1] (analytic) = 1.7144210340559313605111660739955
y1[1] (numeric) = 1.7144210340559313605111660739955
absolute error = 1e-63
relative error = 5.8328729065708368360153783645524e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.6997160753466035406274677899009
y2[1] (numeric) = 1.6997160753466035406274677899009
absolute error = 4e-63
relative error = 2.3533342174129441165430541139559e-61 %
Correct digits = 64
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=121.20
x[1] = 0.776
y1[1] (analytic) = 1.7137209608867168366070851973929
y1[1] (numeric) = 1.7137209608867168366070851973929
absolute error = 1e-63
relative error = 5.8352556969518424560818758127057e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7004301464035807871325628381541
y2[1] (numeric) = 1.7004301464035807871325628381541
absolute error = 5e-63
relative error = 2.9404324609129212373506253023945e-61 %
Correct digits = 64
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=121.43
x[1] = 0.777
y1[1] (analytic) = 1.7130201739966009027309257152522
y1[1] (numeric) = 1.7130201739966009027309257152522
absolute error = 1e-63
relative error = 5.8376428671410630543616295817741e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7011435170304699992337920796493
y2[1] (numeric) = 1.7011435170304699992337920796493
absolute error = 5e-63
relative error = 2.9391993973136615707514644630956e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2014.2MB, alloc=4.6MB, time=121.66
x[1] = 0.778
y1[1] (analytic) = 1.7123186740863703905997159407019
y1[1] (numeric) = 1.7123186740863703905997159407019
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7018561865139006094894936723398
y2[1] (numeric) = 1.7018561865139006094894936723398
absolute error = 5e-63
relative error = 2.9379685778514872449869508332556e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.779
y1[1] (analytic) = 1.71161646185752515198564410102
y1[1] (numeric) = 1.71161646185752515198564410102
absolute error = 1e-63
relative error = 5.8424303708481154927809067929624e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7025681541412031938581790001042
y2[1] (numeric) = 1.7025681541412031938581790001042
absolute error = 4e-63
relative error = 2.3493919995335812830204064389542e-61 %
Correct digits = 64
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=121.89
x[1] = 0.78
y1[1] (analytic) = 1.7109135380122773572162650237646
y1[1] (numeric) = 1.7109135380122773572162650237646
absolute error = 1e-63
relative error = 5.8448307163539674588902131589590e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7032794192004101843678973251179
y2[1] (numeric) = 1.7032794192004101843678973251179
absolute error = 4e-63
relative error = 2.3484109271265459546558310381225e-61 %
Correct digits = 64
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=122.12
x[1] = 0.781
y1[1] (analytic) = 1.710209903253550792962388326898
y1[1] (numeric) = 1.710209903253550792962388326898
absolute error = 1e-63
relative error = 5.8472354656441425196496056760478e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7039899809802565810837444291757
y2[1] (numeric) = 1.7039899809802565810837444291757
absolute error = 4e-63
relative error = 2.3474316425844914203734508542730e-61 %
Correct digits = 64
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=122.35
x[1] = 0.782
y1[1] (analytic) = 1.7095055582849801593143503249576
y1[1] (numeric) = 1.7095055582849801593143503249576
absolute error = 1e-63
relative error = 5.8496446247488405901437510183742e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7046998387701806633728032765141
y2[1] (numeric) = 1.7046998387701806633728032765141
absolute error = 4e-63
relative error = 2.3464541434377765167789206947749e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.783
y1[1] (analytic) = 1.7088005038109103661473725749424
y1[1] (numeric) = 1.7088005038109103661473725749424
absolute error = 1e-63
relative error = 5.8520581997127989741440052720936e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.705408991860324700465805433254
y2[1] (numeric) = 1.705408991860324700465805433254
absolute error = 4e-63
relative error = 2.3454784272226972061569391584976e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2029.4MB, alloc=4.6MB, time=122.58
TOP MAIN SOLVE Loop
x[1] = 0.784
y1[1] (analytic) = 1.7080947405363958287767106964985
y1[1] (numeric) = 1.7080947405363958287767106964985
absolute error = 2e-63
relative error = 1.1708952393190653333987463350231e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.70611743954153566131480268186
y2[1] (numeric) = 1.70611743954153566131480268186
absolute error = 4e-63
relative error = 2.3445044914814725188153097641005e-61 %
Correct digits = 64
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=122.81
x[1] = 0.785
y1[1] (analytic) = 1.7073882691671997629032978111966
y1[1] (numeric) = 1.7073882691671997629032978111966
absolute error = 1e-63
relative error = 5.8568986214703387651900913717863e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7068251811053659237461389730047
y2[1] (numeric) = 1.7068251811053659237461389730047
absolute error = 4e-63
relative error = 2.3435323337622305390772165482802e-61 %
Correct digits = 64
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=123.04
x[1] = 0.786
y1[1] (analytic) = 1.7066810904097934788505876551979
y1[1] (numeric) = 1.7066810904097934788505876551979
absolute error = 2e-63
relative error = 1.1718650960852781966029960986613e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.707532215844073982908013561925
y2[1] (numeric) = 1.707532215844073982908013561925
absolute error = 4e-63
relative error = 2.3425619516189944347774346376721e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2040.9MB, alloc=4.6MB, time=123.27
x[1] = 0.787
y1[1] (analytic) = 1.7059732049713556750933031284076
y1[1] (numeric) = 1.7059732049713556750933031284076
absolute error = 2e-63
relative error = 1.1723513559133428553138315062131e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7082385430506251590119268817658
y2[1] (numeric) = 1.7082385430506251590119268817658
absolute error = 4e-63
relative error = 2.3415933426116685301187557260652e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.788
y1[1] (analytic) = 1.7052646135597717310787967513083
y1[1] (numeric) = 1.7052646135597717310787967513083
absolute error = 2e-63
relative error = 1.1728385050018499151129962789016e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7089441620186923043673014125252
y2[1] (numeric) = 1.7089441620186923043673014125252
absolute error = 4e-63
relative error = 2.3406265043060244217454654678482e-61 %
Correct digits = 64
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=123.50
x[1] = 0.789
y1[1] (analytic) = 1.7045553168836329993417302080539
y1[1] (numeric) = 1.7045553168836329993417302080539
absolute error = 2e-63
relative error = 1.1733265445773365246469125529397e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7096490720426565097085705110381
y2[1] (numeric) = 1.7096490720426565097085705110381
absolute error = 4e-63
relative error = 2.3396614342736871378912645401651e-61 %
Correct digits = 64
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=123.73
x[1] = 0.79
y1[1] (analytic) = 1.703845315652236096912780861085
y1[1] (numeric) = 1.703845315652236096912780861085
absolute error = 2e-63
relative error = 1.1738154758692957849423038793525e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7103532724176078098140288749692
y2[1] (numeric) = 1.7103532724176078098140288749692
absolute error = 4e-63
relative error = 2.3386981300921213404595775410760e-61 %
Correct digits = 64
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=123.96
x[1] = 0.791
y1[1] (analytic) = 1.7031346105755821960220838285014
y1[1] (numeric) = 1.7031346105755821960220838285014
absolute error = 2e-63
relative error = 1.1743053001101837608491839832384e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7110567624393458884157390220229
y2[1] (numeric) = 1.7110567624393458884157390220229
absolute error = 4e-63
relative error = 2.3377365893446175698947439899909e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.792
y1[1] (analytic) = 1.7024232023643763140981189206891
y1[1] (numeric) = 1.7024232023643763140981189206891
absolute error = 2e-63
relative error = 1.1747960185354265143226800846460e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7117595414043807823997888745235
y2[1] (numeric) = 1.7117595414043807823997888745235
absolute error = 4e-63
relative error = 2.3367768096202785327031334906150e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2056.1MB, alloc=4.6MB, time=124.19
TOP MAIN SOLVE Loop
x[1] = 0.793
y1[1] (analytic) = 1.7017110917300266030627524372568
y1[1] (numeric) = 1.7017110917300266030627524372568
absolute error = 2e-63
relative error = 1.1752876323834271596161687787681e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7124616086099335852961962491652
y2[1] (numeric) = 1.7124616086099335852961962491652
absolute error = 4e-63
relative error = 2.3358187885140054314837726163950e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2059.9MB, alloc=4.6MB, time=124.42
x[1] = 0.794
y1[1] (analytic) = 1.7009982793846436379231445291801
y1[1] (numeric) = 1.7009982793846436379231445291801
absolute error = 3e-63
relative error = 1.7636702143433594106877271918897e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7131629633539371500577567620875
y2[1] (numeric) = 1.7131629633539371500577567620875
absolute error = 4e-63
relative error = 2.3348625236264843373286142947291e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2063.7MB, alloc=4.6MB, time=124.65
x[1] = 0.795
y1[1] (analytic) = 1.7002847660410397046612335341874
y1[1] (numeric) = 1.7002847660410397046612335341874
absolute error = 2e-63
relative error = 1.1762735513162423292882464647723e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.713863604935036791127132370486
y2[1] (numeric) = 1.713863604935036791127132370486
absolute error = 3e-63
relative error = 1.7504310094231294533398410572533e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2067.6MB, alloc=4.6MB, time=124.88
x[1] = 0.796
y1[1] (analytic) = 1.6995705524127280874215093958435
y1[1] (numeric) = 1.6995705524127280874215093958435
absolute error = 2e-63
relative error = 1.1767678588928121486186264508779e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7145635326525909857914784837286
y2[1] (numeric) = 1.7145635326525909857914784837286
absolute error = 3e-63
relative error = 1.7497164397044639951887812681125e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.797
y1[1] (analytic) = 1.6988556392139223549977889784976
y1[1] (numeric) = 1.6988556392139223549977889784976
absolute error = 3e-63
relative error = 1.7658946003134970719092732746457e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7152627458066720748239082894086
y2[1] (numeric) = 1.7152627458066720748239082894086
absolute error = 4e-63
relative error = 2.3320042423697818373064540524070e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2071.4MB, alloc=4.6MB, time=125.10
x[1] = 0.798
y1[1] (analytic) = 1.6981400271595356466197067912625
y1[1] (numeric) = 1.6981400271595356466197067912625
absolute error = 3e-63
relative error = 1.7666387647772925043464713961118e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7159612436980669624110936529281
y2[1] (numeric) = 1.7159612436980669624110936529281
absolute error = 3e-63
relative error = 1.7482912338595141854085255514635e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2075.2MB, alloc=4.6MB, time=125.33
x[1] = 0.799
y1[1] (analytic) = 1.6974237169651799570396353344726
y1[1] (numeric) = 1.6974237169651799570396353344726
absolute error = 3e-63
relative error = 1.7673842836152267552433141381927e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7166590256282778153663026630705
y2[1] (numeric) = 1.7166590256282778153663026630705
absolute error = 3e-63
relative error = 1.7475805941730530220562636717257e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2079.0MB, alloc=4.6MB, time=125.56
x[1] = 0.8
y1[1] (analytic) = 1.6967067093471654209207499816423
y1[1] (numeric) = 1.6967067093471654209207499816423
absolute error = 3e-63
relative error = 1.7681311587164626470756212777398e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7173560908995227616271746105814
y2[1] (numeric) = 1.7173560908995227616271746105814
absolute error = 4e-63
relative error = 2.3291616812590486415648763555388e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.801
y1[1] (analytic) = 1.6959890050224995965269540088002
y1[1] (numeric) = 1.6959890050224995965269540088002
absolute error = 3e-63
relative error = 1.7688793919747144394817142085253e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.718052438814736588037533902042
y2[1] (numeric) = 1.718052438814736588037533902042
absolute error = 4e-63
relative error = 2.3282176432050881913572290916198e-61 %
Correct digits = 64
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=125.79
x[1] = 0.802
y1[1] (analytic) = 1.6952706047088867487153800812132
y1[1] (numeric) = 1.6952706047088867487153800812132
absolute error = 4e-63
relative error = 2.3595053137176782837567636773386e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7187480686775714374125451272789
y2[1] (numeric) = 1.7187480686775714374125451272789
absolute error = 4e-63
relative error = 2.3272753423820021428570726997270e-61 %
Correct digits = 64
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=126.02
x[1] = 0.803
y1[1] (analytic) = 1.6945515091247271312321852049411
y1[1] (numeric) = 1.6945515091247271312321852049411
absolute error = 4e-63
relative error = 2.3605065874132603809196269262350e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7194429797923975048865122152131
y2[1] (numeric) = 1.7194429797923975048865122152131
absolute error = 3e-63
relative error = 1.7447510823314505480396724095384e-61 %
Correct digits = 64
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=126.25
x[1] = 0.804
y1[1] (analytic) = 1.6938317189891162683123568473649
y1[1] (numeric) = 1.6938317189891162683123568473649
absolute error = 4e-63
relative error = 2.3615096795962775554390819827188e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7201371714643037335426253304078
y2[1] (numeric) = 1.7201371714643037335426253304078
absolute error = 4e-63
relative error = 2.3253959430426784153717996083592e-61 %
Correct digits = 64
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=126.48
x[1] = 0.805
y1[1] (analytic) = 1.6931112350218442355842486268248
y1[1] (numeric) = 1.6931112350218442355842486268248
absolute error = 4e-63
relative error = 2.3625145928161020528951246657259e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7208306429990985093239598806256
y2[1] (numeric) = 1.7208306429990985093239598806256
absolute error = 4e-63
relative error = 2.3244588398476673790675644687698e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.806
y1[1] (analytic) = 1.6923900579433949402795646667706
y1[1] (numeric) = 1.6923900579433949402795646667706
absolute error = 4e-63
relative error = 2.3635213296282477133378017555015e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7215233937033103552250327244533
y2[1] (numeric) = 1.7215233937033103552250327244533
absolute error = 3e-63
relative error = 1.7426425983944682970061229137949e-61 %
Correct digits = 64
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=126.71
x[1] = 0.807
y1[1] (analytic) = 1.6916681884749454007495124043812
y1[1] (numeric) = 1.6916681884749454007495124043812
absolute error = 4e-63
relative error = 2.3645298925943847107312030571672e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7222154228841886247632213874979
y2[1] (numeric) = 1.7222154228841886247632213874979
absolute error = 4e-63
relative error = 2.3225898147522177430630228509294e-61 %
Correct digits = 64
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=126.94
x[1] = 0.808
y1[1] (analytic) = 1.6909456273383650252878443374403
y1[1] (numeric) = 1.6909456273383650252878443374403
absolute error = 5e-63
relative error = 2.9569253553529429230794145246852e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7229067298497041947293528157898
y2[1] (numeric) = 1.7229067298497041947293528157898
absolute error = 4e-63
relative error = 2.3216578882067141509575380670000e-61 %
Correct digits = 64
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=127.17
x[1] = 0.809
y1[1] (analytic) = 1.6902223752562148902615098863655
y1[1] (numeric) = 1.6902223752562148902615098863655
absolute error = 5e-63
relative error = 2.9581906340827298013469186481938e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7235973139085501572167689158648
y2[1] (numeric) = 1.7235973139085501572167689158648
absolute error = 4e-63
relative error = 2.3207276825752991291295336268247e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.81
y1[1] (analytic) = 1.6894984329517470175496392406801
y1[1] (numeric) = 1.6894984329517470175496392406801
absolute error = 5e-63
relative error = 2.9594582051576266154702299796032e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7242871743701425109281768525145
y2[1] (numeric) = 1.7242871743701425109281768525145
absolute error = 4e-63
relative error = 2.3197991955493973307895064857703e-61 %
Correct digits = 64
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=127.40
x[1] = 0.811
y1[1] (analytic) = 1.688773801148903651291581750883
y1[1] (numeric) = 1.688773801148903651291581750883
absolute error = 5e-63
relative error = 2.9607280718106881500738677545156e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7249763105446208517595927974149
y2[1] (numeric) = 1.7249763105446208517595927974149
absolute error = 4e-63
relative error = 2.3188724248259929580536879351363e-61 %
Correct digits = 64
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=127.62
x[1] = 0.812
y1[1] (analytic) = 1.6880484805723165339447221176171
y1[1] (numeric) = 1.6880484805723165339447221176171
absolute error = 5e-63
relative error = 2.9620002372827575963072385783931e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7256647217428490626606885447446
y2[1] (numeric) = 1.7256647217428490626606885447446
absolute error = 4e-63
relative error = 2.3179473681076168736861178591003e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2117.2MB, alloc=4.6MB, time=127.85
x[1] = 0.813
y1[1] (analytic) = 1.6873224719473061816527983202618
y1[1] (numeric) = 1.6873224719473061816527983202618
absolute error = 4e-63
relative error = 2.3706197638579882596425343970835e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7263524072764160027708511335054
y2[1] (numeric) = 1.7263524072764160027708511335054
absolute error = 4e-63
relative error = 2.3170240231023337526530970177830e-61 %
Correct digits = 64
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=128.08
x[1] = 0.814
y1[1] (analytic) = 1.6865957759998811589254459165685
y1[1] (numeric) = 1.6865957759998811589254459165685
absolute error = 4e-63
relative error = 2.3716411821490781727100348869619e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7270393664576361958302663405423
y2[1] (numeric) = 1.7270393664576361958302663405423
absolute error = 4e-63
relative error = 2.3161023875237292733605489856093e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.815
y1[1] (analytic) = 1.6858683934567373526296940337378
y1[1] (numeric) = 1.6858683934567373526296940337378
absolute error = 4e-63
relative error = 2.3726644473109328419900024583746e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7277255985995505178653376332361
y2[1] (numeric) = 1.7277255985995505178653376332361
absolute error = 4e-63
relative error = 2.3151824590908973484453210231861e-61 %
Correct digits = 64
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=128.31
x[1] = 0.816
y1[1] (analytic) = 1.685140325045257245294139059378
y1[1] (numeric) = 1.685140325045257245294139059378
absolute error = 4e-63
relative error = 2.3736895619613003737491000540005e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7284111030159268841477528965088
y2[1] (numeric) = 1.7284111030159268841477528965088
absolute error = 4e-63
relative error = 2.3142642355284273949919487494125e-61 %
Correct digits = 64
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=128.54
x[1] = 0.817
y1[1] (analytic) = 1.684411571493509187726522728114
y1[1] (numeric) = 1.684411571493509187726522728114
absolute error = 4e-63
relative error = 2.3747165287242351618994874662423e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.72909587902126093542651197513
y2[1] (numeric) = 1.72909587902126093542651197513
absolute error = 4e-63
relative error = 2.3133477145663916440469030180189e-61 %
Correct digits = 64
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=128.77
x[1] = 0.818
y1[1] (analytic) = 1.683682133530246670945441986206
y1[1] (numeric) = 1.683682133530246670945441986206
absolute error = 3e-63
relative error = 1.7818090126725848570668279623936e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7297799259307767234322287993561
y2[1] (numeric) = 1.7297799259307767234322287993561
absolute error = 4e-63
relative error = 2.3124328939403324893028288987322e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.819
y1[1] (analytic) = 1.6829520118849075974269187024083
y1[1] (numeric) = 1.6829520118849075974269187024083
absolute error = 3e-63
relative error = 1.7825820218367353231915983700207e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7304632430604273956530225896556
y2[1] (numeric) = 1.7304632430604273956530225896556
absolute error = 4e-63
relative error = 2.3115197713912498748257761272286e-61 %
Correct digits = 64
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=129.00
x[1] = 0.82
y1[1] (analytic) = 1.6822212072876135516665579784369
y1[1] (numeric) = 1.6822212072876135516665579784369
absolute error = 3e-63
relative error = 1.7833564260179265023530314552991e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7311458297268958793813133646877
y2[1] (numeric) = 1.7311458297268958793813133646877
absolute error = 4e-63
relative error = 2.3106083446655887216989078293925e-61 %
Correct digits = 64
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=129.23
x[1] = 0.821
y1[1] (analytic) = 1.6814897204691690700580244968283
y1[1] (numeric) = 1.6814897204691690700580244968283
absolute error = 3e-63
relative error = 1.7841322272032328226797052204585e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7318276852475955650308377057945
y2[1] (numeric) = 1.7318276852475955650308377057945
absolute error = 4e-63
relative error = 2.3096986115152263934566597535096e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2143.9MB, alloc=4.6MB, time=129.46
x[1] = 0.822
y1[1] (analytic) = 1.6807575521610609100885670276502
y1[1] (numeric) = 1.6807575521610609100885670276502
absolute error = 3e-63
relative error = 1.7849094273845159930596502901449e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7325088089406709887232014610491
y2[1] (numeric) = 1.7325088089406709887232014610491
absolute error = 4e-63
relative error = 2.3087905696974602001838056682139e-61 %
Correct digits = 64
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=129.70
x[1] = 0.823
y1[1] (analytic) = 1.6800247030954573188523218984808
y1[1] (numeric) = 1.6800247030954573188523218984808
absolute error = 3e-63
relative error = 1.7856880285584366246590382563807e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7331892001249985141432868023628
y2[1] (numeric) = 1.7331892001249985141432868023628
absolute error = 4e-63
relative error = 2.3078842169749949411543660135456e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.824
y1[1] (analytic) = 1.6792911740052073008821269142913
y1[1] (numeric) = 1.6792911740052073008821269142913
absolute error = 3e-63
relative error = 1.7864680327264658888972949136620e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7338688581201870136628317803018
y2[1] (numeric) = 1.7338688581201870136628317803018
absolute error = 5e-63
relative error = 2.8837244388949131073572204207612e-61 %
Correct digits = 64
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=129.92
x[1] = 0.825
y1[1] (analytic) = 1.6785569656238398853005778953559
y1[1] (numeric) = 1.6785569656238398853005778953559
absolute error = 3e-63
relative error = 1.7872494418948972120018372241881e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7345477822465785487315012530908
y2[1] (numeric) = 1.7345477822465785487315012530908
absolute error = 4e-63
relative error = 2.3060765698937493934842095112017e-61 %
Correct digits = 64
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=130.16
x[1] = 0.826
y1[1] (analytic) = 1.6778220786855633922910606820732
y1[1] (numeric) = 1.6778220786855633922910606820732
absolute error = 3e-63
relative error = 1.7880322580748580062661179659967e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7352259718252490495347687987877
y2[1] (numeric) = 1.7352259718252490495347687987877
absolute error = 5e-63
relative error = 2.8814690888591307126967765519844e-61 %
Correct digits = 64
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=130.39
x[1] = 0.827
y1[1] (analytic) = 1.6770865139252646988894921356054
y1[1] (numeric) = 1.6770865139252646988894921356054
absolute error = 3e-63
relative error = 1.7888164832823214381351492103282e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.735903426178008993917929952807
y2[1] (numeric) = 1.735903426178008993917929952807
absolute error = 5e-63
relative error = 2.8803445656010087059649523667091e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.828
y1[1] (analytic) = 1.6763502720785085040975043425319
y1[1] (numeric) = 1.6763502720785085040975043425319
absolute error = 3e-63
relative error = 1.7896021195381182332431650588080e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7365801446274040855755678468317
y2[1] (numeric) = 1.7365801446274040855755678468317
absolute error = 4e-63
relative error = 2.3033777118638133023320692882354e-61 %
Correct digits = 64
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=130.62
x[1] = 0.829
y1[1] (analytic) = 1.6756133538815365933178069102739
y1[1] (numeric) = 1.6756133538815365933178069102739
absolute error = 3e-63
relative error = 1.7903891688679485185285754559937e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7372561264967159315057930597084
y2[1] (numeric) = 1.7372561264967159315057930597084
absolute error = 5e-63
relative error = 2.8781018087890173190725334416016e-61 %
Correct digits = 64
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=130.85
x[1] = 0.83
y1[1] (analytic) = 1.6748757600712671021124629178645
y1[1] (numeric) = 1.6748757600712671021124629178645
absolute error = 3e-63
relative error = 1.7911776333023937015518563885435e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7379313711099627187285802261381
y2[1] (numeric) = 1.7379313711099627187285802261381
absolute error = 5e-63
relative error = 2.8769835697290253154277980479564e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2170.6MB, alloc=4.6MB, time=131.08
x[1] = 0.831
y1[1] (analytic) = 1.6741374913852937792848147637283
y1[1] (numeric) = 1.6741374913852937792848147637283
absolute error = 4e-63
relative error = 2.3892900198359045161900231983969e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7386058777918998902675246848865
y2[1] (numeric) = 1.7386058777918998902675246848865
absolute error = 5e-63
relative error = 2.8758674199066916565771746448586e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.832
y1[1] (analytic) = 1.6733985485618852492857968284831
y1[1] (numeric) = 1.6733985485618852492857968284831
absolute error = 4e-63
relative error = 2.3903450875092431086690467841219e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7392796458680208203943431848106
y2[1] (numeric) = 1.7392796458680208203943431848106
absolute error = 4e-63
relative error = 2.2998026852684309925263243648258e-61 %
Correct digits = 64
h = 0.001
memory used=2174.4MB, alloc=4.6MB, time=131.31
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.833
y1[1] (analytic) = 1.6726589323399842739453725463881
y1[1] (numeric) = 1.6726589323399842739453725463881
absolute error = 3e-63
relative error = 1.7935515376127024338881411738146e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.739952674664557489135443404258
y2[1] (numeric) = 1.739952674664557489135443404258
absolute error = 5e-63
relative error = 2.8736413770356952259274152801273e-61 %
Correct digits = 64
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=131.54
x[1] = 0.834
y1[1] (analytic) = 1.6719186434592070135298341539424
y1[1] (numeric) = 1.6719186434592070135298341539424
absolute error = 3e-63
relative error = 1.7943456828694647660133557043701e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7406249635084811560398877773265
y2[1] (numeric) = 1.7406249635084811560398877773265
absolute error = 4e-63
relative error = 2.2980251828271047830694010878599e-61 %
Correct digits = 64
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=131.77
x[1] = 0.835
y1[1] (analytic) = 1.6711776826598422871257040582708
y1[1] (numeric) = 1.6711776826598422871257040582708
absolute error = 3e-63
relative error = 1.7951412534573866392771602380501e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.741296511727503033208077859075
y2[1] (numeric) = 1.741296511727503033208077859075
absolute error = 5e-63
relative error = 2.8714236583633920684489310199425e-61 %
Correct digits = 64
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=132.00
x[1] = 0.836
y1[1] (analytic) = 1.6704360506828508323509774413339
y1[1] (numeric) = 1.6704360506828508323509774413339
absolute error = 3e-63
relative error = 1.7959382514365887099692121658132e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7419673186500749575804862010582
y2[1] (numeric) = 1.7419673186500749575804862010582
absolute error = 4e-63
relative error = 2.2962543310512686456427759553942e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.837
y1[1] (analytic) = 1.6696937482698645643944463886591
y1[1] (numeric) = 1.6696937482698645643944463886591
absolute error = 3e-63
relative error = 1.7967366788721571225675099144148e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7426373836053900624857634485088
y2[1] (numeric) = 1.7426373836053900624857634485088
absolute error = 4e-63
relative error = 2.2953713937458926694631456214743e-61 %
Correct digits = 64
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=132.23
x[1] = 0.838
y1[1] (analytic) = 1.6689507761631858343838465032063
y1[1] (numeric) = 1.6689507761631858343838465032063
absolute error = 3e-63
relative error = 1.7975365378341556912629295157847e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.743306705923383448447549111117
y2[1] (numeric) = 1.743306705923383448447549111117
absolute error = 4e-63
relative error = 2.2944901126169338099247259793196e-61 %
Correct digits = 64
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=132.46
x[1] = 0.839
y1[1] (analytic) = 1.6682071351057866870835676361593
y1[1] (numeric) = 1.6682071351057866870835676361593
absolute error = 3e-63
relative error = 1.7983378303976381198400659814796e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7439752849347328532493152006504
y2[1] (numeric) = 1.7439752849347328532493152006504
absolute error = 4e-63
relative error = 2.2936104855119534633467114062572e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2197.3MB, alloc=4.6MB, time=132.70
x[1] = 0.84
y1[1] (analytic) = 1.6674628258413081179226710368709
y1[1] (numeric) = 1.6674628258413081179226710368709
absolute error = 3e-63
relative error = 1.7991405586426602600450780880416e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7446431199708593212565726706296
y2[1] (numeric) = 1.7446431199708593212565726706296
absolute error = 3e-63
relative error = 1.7195493827127858883512474834200e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.841
y1[1] (analytic) = 1.6667178491140593293539558938825
y1[1] (numeric) = 1.6667178491140593293539558938825
absolute error = 2e-63
relative error = 1.1999631497695282723811683805295e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7453102103639278719957713359055
y2[1] (numeric) = 1.7453102103639278719957713359055
absolute error = 3e-63
relative error = 1.7188921385926271764672279859336e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2201.1MB, alloc=4.6MB, time=132.92
TOP MAIN SOLVE Loop
x[1] = 0.842
y1[1] (analytic) = 1.6659722056690169865448189078902
y1[1] (numeric) = 1.6659722056690169865448189078902
absolute error = 2e-63
relative error = 1.2005002203484210951983489004605e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7459765554468481679892246932965
y2[1] (numeric) = 1.7459765554468481679892246932965
absolute error = 3e-63
relative error = 1.7182361301708368776236325438509e-61 %
Correct digits = 64
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=133.15
x[1] = 0.843
y1[1] (analytic) = 1.665225896251824472400651205734
y1[1] (numeric) = 1.665225896251824472400651205734
absolute error = 2e-63
relative error = 1.2010382522285427969344688613614e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7466421545532751818453918084153
y2[1] (numeric) = 1.7466421545532751818453918084153
absolute error = 2e-63
relative error = 1.1450542372324250618494998332032e-61 %
Correct digits = 64
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=133.38
x[1] = 0.844
y1[1] (analytic) = 1.6644789216087911419215175719538
y1[1] (numeric) = 1.6644789216087911419215175719538
absolute error = 2e-63
relative error = 1.2015772468100185786658067460546e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7473070070176098626038491784596
y2[1] (numeric) = 1.7473070070176098626038491784596
absolute error = 2e-63
relative error = 1.1446185426874119006663244043413e-61 %
Correct digits = 64
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=133.61
x[1] = 0.845
y1[1] (analytic) = 1.6637312824868915758928636411686
y1[1] (numeric) = 1.6637312824868915758928636411686
absolute error = 2e-63
relative error = 1.2021172054963496559463963448243e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7479711121749998013342862260498
y2[1] (numeric) = 1.7479711121749998013342862260498
absolute error = 2e-63
relative error = 1.1441836687514822529164062333485e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.846
y1[1] (analytic) = 1.6629829796337648339109973605104
y1[1] (numeric) = 1.6629829796337648339109973605104
absolute error = 2e-63
relative error = 1.2026581296944215868504714143741e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7486344693613398959888588251738
y2[1] (numeric) = 1.7486344693613398959888588251738
absolute error = 2e-63
relative error = 1.1437496143664989331212319159842e-61 %
Correct digits = 64
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=133.84
x[1] = 0.847
y1[1] (analytic) = 1.6622340137977137067440916965694
y1[1] (numeric) = 1.6622340137977137067440916965694
absolute error = 2e-63
relative error = 1.2032000208145126262925813740380e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7492970779132730155072360069414
y2[1] (numeric) = 1.7492970779132730155072360069414
absolute error = 2e-63
relative error = 1.1433163784768846345872006664732e-61 %
Correct digits = 64
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=134.07
x[1] = 0.848
y1[1] (analytic) = 1.6614843857277039680294562257845
y1[1] (numeric) = 1.6614843857277039680294562257845
absolute error = 3e-63
relative error = 1.8056143204054531600729679945052e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7499589371681906631736757401562
y2[1] (numeric) = 1.7499589371681906631736757401562
absolute error = 2e-63
relative error = 1.1428839600296161628346037814866e-61 %
Correct digits = 64
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=134.30
x[1] = 0.849
y1[1] (analytic) = 1.6607340961733636253078259109465
y1[1] (numeric) = 1.6607340961733636253078259109465
absolute error = 3e-63
relative error = 1.8064300642183182678523531521462e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7506200464642336392254664296844
y2[1] (numeric) = 1.7506200464642336392254664296844
absolute error = 2e-63
relative error = 1.1424523579742186867520384469711e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.85
y1[1] (analytic) = 1.6599831458849821703954160294615
y1[1] (numeric) = 1.6599831458849821703954160294615
absolute error = 3e-63
relative error = 1.8072472647911243660031087991173e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7512804051402927027120715242355
y2[1] (numeric) = 1.7512804051402927027120715242355
absolute error = 2e-63
relative error = 1.1420215712627600074198630719120e-61 %
Correct digits = 64
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=134.53
x[1] = 0.851
y1[1] (analytic) = 1.6592315356135098290944928812577
y1[1] (numeric) = 1.6592315356135098290944928812577
absolute error = 3e-63
relative error = 1.8080659242597711258036157722509e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7519400125360092326043153744632
y2[1] (numeric) = 1.7519400125360092326043153744632
absolute error = 3e-63
relative error = 1.7123873982747672668197738727819e-61 %
Correct digits = 64
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=134.76
x[1] = 0.852
y1[1] (analytic) = 1.6584792661105568102432105657027
y1[1] (numeric) = 1.6584792661105568102432105657027
absolute error = 3e-63
relative error = 1.8088860447653105171815213228730e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7525988679917758881529492322585
y2[1] (numeric) = 1.7525988679917758881529492322585
absolute error = 2e-63
relative error = 1.1411624396926091404617324813371e-61 %
Correct digits = 64
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=135.00
x[1] = 0.853
y1[1] (analytic) = 1.6577263381283925541054647776315
y1[1] (numeric) = 1.6577263381283925541054647776315
absolute error = 3e-63
relative error = 1.8097076284539595795446984359589e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7532569708487372684959370327215
y2[1] (numeric) = 1.7532569708487372684959370327215
absolute error = 2e-63
relative error = 1.1407340927507143816109100023257e-61 %
Correct digits = 64
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=135.23
x[1] = 0.854
y1[1] (analytic) = 1.6569727524199449801015152325685
y1[1] (numeric) = 1.6569727524199449801015152325685
absolute error = 3e-63
relative error = 1.8105306774771132329843471017562e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7539143204487905715138013515826
y2[1] (numeric) = 1.7539143204487905715138013515826
absolute error = 2e-63
relative error = 1.1403065569863419374950792992398e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.855
y1[1] (analytic) = 1.6562185097387997338801289904588
y1[1] (numeric) = 1.6562185097387997338801289904588
absolute error = 3e-63
relative error = 1.8113551939913571299889367012300e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7545709161345862519323706827818
y2[1] (numeric) = 1.7545709161345862519323706827818
absolute error = 2e-63
relative error = 1.1398798313641874170011554341906e-61 %
Correct digits = 64
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=135.45
x[1] = 0.856
y1[1] (analytic) = 1.6554636108391994337329976057035
y1[1] (numeric) = 1.6554636108391994337329976057035
absolute error = 3e-63
relative error = 1.8121811801584805478082407428942e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7552267572495286786722699335127
y2[1] (numeric) = 1.7552267572495286786722699335127
absolute error = 1e-63
relative error = 5.6972695742572752103367441127681e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2246.9MB, alloc=4.6MB, time=135.68
x[1] = 0.857
y1[1] (analytic) = 1.6547080564760429163521816890169
y1[1] (numeric) = 1.6547080564760429163521816890169
absolute error = 3e-63
relative error = 1.8130086381454893216072696673394e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7558818431377767914444967872976
y2[1] (numeric) = 1.7558818431377767914444967872976
absolute error = 1e-63
relative error = 5.6951440320892601931441394143763e-62 %
Correct digits = 64
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=135.92
x[1] = 0.858
y1[1] (analytic) = 1.6539518474048844819313371236005
y1[1] (numeric) = 1.6539518474048844819313371236005
absolute error = 3e-63
relative error = 1.8138375701246188185504643286570e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7565361731442447565914273395693
y2[1] (numeric) = 1.7565361731442447565914273395693
absolute error = 1e-63
relative error = 5.6930225251779152239446643014050e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.859
y1[1] (analytic) = 1.6531949843819331386114778343436
y1[1] (numeric) = 1.6531949843819331386114778343436
absolute error = 3e-63
relative error = 1.8146679782733469529570720806682e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.757189746614602622172595164811
y2[1] (numeric) = 1.757189746614602622172595164811
absolute error = 1e-63
relative error = 5.6909050483967226808072408643666e-62 %
Correct digits = 64
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=136.15
x[1] = 0.86
y1[1] (analytic) = 1.6524374681640518462720306642239
y1[1] (numeric) = 1.6524374681640518462720306642239
absolute error = 3e-63
relative error = 1.8154998647744072426691891521377e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7578425628952769722945887295286
y2[1] (numeric) = 1.7578425628952769722945887295286
absolute error = 1e-63
relative error = 5.6887915966315963416482375164597e-62 %
Correct digits = 64
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=136.38
x[1] = 0.861
y1[1] (analytic) = 1.6516792995087567596679385667926
y1[1] (numeric) = 1.6516792995087567596679385667926
absolute error = 3e-63
relative error = 1.8163332318158019067745172007793e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7584946213334515806844128212126
y2[1] (numeric) = 1.7584946213334515806844128212126
absolute error = 1e-63
relative error = 5.6866821647808536818401594657506e-62 %
Correct digits = 64
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=136.61
x[1] = 0.862
y1[1] (analytic) = 1.6509204791742164709135689775753
y1[1] (numeric) = 1.6509204791742164709135689775753
absolute error = 3e-63
relative error = 1.8171680815908150048264486027099e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7591459212770680635056604199826
y2[1] (numeric) = 1.7591459212770680635056604199826
absolute error = 1e-63
relative error = 5.6845767477551882568644315014597e-62 %
Correct digits = 64
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=136.84
x[1] = 0.863
y1[1] (analytic) = 1.6501610079192512513141848804184
y1[1] (numeric) = 1.6501610079192512513141848804184
absolute error = 3e-63
relative error = 1.8180044162980256177046641739973e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7597964620748265314168421967984
y2[1] (numeric) = 1.7597964620748265314168421967984
absolute error = 1e-63
relative error = 5.6824753404776421697399222576695e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.864
y1[1] (analytic) = 1.6494008865033322925457367372467
y1[1] (numeric) = 1.6494008865033322925457367372467
absolute error = 3e-63
relative error = 1.8188422381413210702599986460710e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7604462430761862408712215799592
y2[1] (numeric) = 1.7604462430761862408712215799592
absolute error = 1e-63
relative error = 5.6803779378835786229598768527486e-62 %
Correct digits = 64
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=137.07
x[1] = 0.865
y1[1] (analytic) = 1.6486401156865809471837341013768
y1[1] (numeric) = 1.6486401156865809471837341013768
absolute error = 3e-63
relative error = 1.8196815493299101958879033390645e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7610952636313662446575040901144
y2[1] (numeric) = 1.7610952636313662446575040901144
absolute error = 1e-63
relative error = 5.6782845349206545546709384279642e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2273.6MB, alloc=4.6MB, time=137.30
x[1] = 0.866
y1[1] (analytic) = 1.6478786962297679685819563854515
y1[1] (numeric) = 1.6478786962297679685819563854515
absolute error = 3e-63
relative error = 1.8205223520783366431754121087493e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7617435230913460416807304031469
y2[1] (numeric) = 1.7617435230913460416807304031469
absolute error = 1e-63
relative error = 5.6761951265487933588289486428883e-62 %
Correct digits = 64
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=137.53
x[1] = 0.867
y1[1] (analytic) = 1.6471166288943127501017629052209
y1[1] (numeric) = 1.6471166288943127501017629052209
absolute error = 3e-63
relative error = 1.8213646486064922247670957957849e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7623910208078662259827233600927
y2[1] (numeric) = 1.7623910208078662259827233600927
absolute error = 1e-63
relative error = 5.6741097077401576890672226469376e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.868
y1[1] (analytic) = 1.6463539144422825636927629697972
y1[1] (numeric) = 1.6463539144422825636927629697972
absolute error = 2e-63
relative error = 1.2148056274264202057307147285174e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.763037756133429135001439903703
y2[1] (numeric) = 1.763037756133429135001439903703
absolute error = 1e-63
relative error = 5.6720282734791223460139954542743e-62 %
Correct digits = 64
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=137.76
x[1] = 0.869
y1[1] (analytic) = 1.6455905536363917978256074376495
y1[1] (numeric) = 1.6455905536363917978256074376495
absolute error = 3e-63
relative error = 1.8230537319083792516267219774210e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7636837284212994970685796823498
y2[1] (numeric) = 1.7636837284212994970685796823498
absolute error = 1e-63
relative error = 5.6699508187622472477967340218178e-62 %
Correct digits = 64
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=137.99
x[1] = 0.87
y1[1] (analytic) = 1.6448265472400011947776638054828
y1[1] (numeric) = 1.6448265472400011947776638054828
absolute error = 3e-63
relative error = 1.8239005231487558762563506511972e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7643289370255050781448028237229
y2[1] (numeric) = 1.7643289370255050781448028237229
absolute error = 1e-63
relative error = 5.6678773385982504834720026856374e-62 %
Correct digits = 64
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=138.22
x[1] = 0.871
y1[1] (analytic) = 1.6440618960171170872723375442637
y1[1] (numeric) = 1.6440618960171170872723375442637
absolute error = 2e-63
relative error = 1.2164992114014526596824135233568e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7649733813008373277919101431513
y2[1] (numeric) = 1.7649733813008373277919101431513
absolute error = 1e-63
relative error = 5.6658078280079814491205589678155e-62 %
Correct digits = 64
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=138.46
x[1] = 0.872
y1[1] (analytic) = 1.6432966007323906344728030430074
y1[1] (numeric) = 1.6432966007323906344728030430074
absolute error = 3e-63
relative error = 1.8255986160154829452721738187335e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7656170606028520243813398144258
y2[1] (numeric) = 1.7656170606028520243813398144258
absolute error = 1e-63
relative error = 5.6637422820243940663483421421776e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.873
y1[1] (analytic) = 1.6425306621511170573309081665308
y1[1] (numeric) = 1.6425306621511170573309081665308
absolute error = 2e-63
relative error = 1.2176332814272874996123090680555e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7662599742878699195383352946765
y2[1] (numeric) = 1.7662599742878699195383352946765
absolute error = 1e-63
relative error = 5.6616806956925200829349983611981e-62 %
Correct digits = 64
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=138.69
x[1] = 0.874
y1[1] (analytic) = 1.6417640810392348732920170782044
y1[1] (numeric) = 1.6417640810392348732920170782044
absolute error = 2e-63
relative error = 1.2182018251574868056489305435934e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7669021217129773818211400591947
y2[1] (numeric) = 1.7669021217129773818211400591947
absolute error = 1e-63
relative error = 5.6596230640694424553725636159270e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2300.3MB, alloc=4.6MB, time=138.91
x[1] = 0.875
y1[1] (analytic) = 1.640996858163325130356556622796
y1[1] (numeric) = 1.640996858163325130356556622796
absolute error = 3e-63
relative error = 1.8281570650645426214680013780368e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7675435022360270396345754670545
y2[1] (numeric) = 1.7675435022360270396345754670545
absolute error = 1e-63
relative error = 5.6575693822242688130378993438772e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2304.1MB, alloc=4.6MB, time=139.15
x[1] = 0.876
y1[1] (analytic) = 1.6402289942906106404990322077955
y1[1] (numeric) = 1.6402289942906106404990322077955
absolute error = 3e-63
relative error = 1.8290129063945015154339464586701e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.768184115215638423377358844013
y2[1] (numeric) = 1.768184115215638423377358844013
absolute error = 2e-63
relative error = 1.1311039290476210007486890268624e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.877
y1[1] (analytic) = 1.6394604901889552124452797641414
y1[1] (numeric) = 1.6394604901889552124452797641414
absolute error = 2e-63
relative error = 1.2199135093334826163935338349094e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7688239600111986068225196354215
y2[1] (numeric) = 1.7688239600111986068225196354215
absolute error = 2e-63
relative error = 1.1306947696408057440823637448079e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2307.9MB, alloc=4.6MB, time=139.37
x[1] = 0.878
y1[1] (analytic) = 1.6386913466268628838087210090343
y1[1] (numeric) = 1.6386913466268628838087210090343
absolute error = 2e-63
relative error = 1.2204860934408831422590596010736e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7694630359828628477302722487879
y2[1] (numeric) = 1.7694630359828628477302722487879
absolute error = 2e-63
relative error = 1.1302863972454126417241510694652e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2311.7MB, alloc=4.6MB, time=139.61
x[1] = 0.879
y1[1] (analytic) = 1.6379215643734771525863898745154
y1[1] (numeric) = 1.6379215643734771525863898745154
absolute error = 2e-63
relative error = 1.2210596914419536290458432147899e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7701013424915552276927049731688
y2[1] (numeric) = 1.7701013424915552276927049731688
absolute error = 2e-63
relative error = 1.1298788108848302109531673036947e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2315.5MB, alloc=4.6MB, time=139.84
x[1] = 0.88
y1[1] (analytic) = 1.6371511441985802080154986057221
y1[1] (numeric) = 1.6371511441985802080154986057221
absolute error = 2e-63
relative error = 1.2216343048637955235862318432519e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.770738878898969291209645130756
y2[1] (numeric) = 1.770738878898969291209645130756
absolute error = 2e-63
relative error = 1.1294720095848256109178825004936e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.881
y1[1] (analytic) = 1.6363800868725921607913126721897
y1[1] (numeric) = 1.6363800868725921607913126721897
absolute error = 2e-63
relative error = 1.2222099352372033154104018085793e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.771375644567568683995061384847
y2[1] (numeric) = 1.771375644567568683995061384847
absolute error = 1e-63
relative error = 5.6453299618676971618250730853144e-62 %
Correct digits = 64
h = 0.001
memory used=2319.3MB, alloc=4.6MB, time=140.07
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.882
y1[1] (analytic) = 1.6356083931665702726471042742594
y1[1] (numeric) = 1.6356083931665702726471042742594
absolute error = 2e-63
relative error = 1.2227865840966738700868207968950e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.772011638860587790513364897848
y2[1] (numeric) = 1.772011638860587790513364897848
absolute error = 1e-63
relative error = 5.6433037914074025167079678085639e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2323.1MB, alloc=4.6MB, time=140.30
x[1] = 0.883
y1[1] (analytic) = 1.6348360638522081852969548645758
y1[1] (numeric) = 1.6348360638522081852969548645758
absolute error = 2e-63
relative error = 1.2233642529804157923144585360273e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7726468611420323707449718030637
y2[1] (numeric) = 1.7726468611420323707449718030637
absolute error = 1e-63
relative error = 5.6412815317076035541022195993520e-62 %
Correct digits = 64
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=140.53
x[1] = 0.884
y1[1] (analytic) = 1.6340630997018351487421777418069
y1[1] (numeric) = 1.6340630997018351487421777418069
absolute error = 2e-63
relative error = 1.2239429434303588188705650960968e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7732813107766801961804902247626
y2[1] (numeric) = 1.7732813107766801961804902247626
absolute error = 0
relative error = 0 %
Correct digits = 64
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=140.76
x[1] = 0.885
y1[1] (analytic) = 1.6332895014884152489421324100994
y1[1] (numeric) = 1.6332895014884152489421324100994
absolute error = 2e-63
relative error = 1.2245226569921632415182537650341e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7739149871300816850428958523849
y2[1] (numeric) = 1.7739149871300816850428958523849
absolute error = 1e-63
relative error = 5.6372487253058520931286872487466e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.886
y1[1] (analytic) = 1.6325152699855466348502030333909
y1[1] (numeric) = 1.6325152699855466348502030333909
absolute error = 2e-63
relative error = 1.2251033952152293599785450924966e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7745478895685605367370608467703
y2[1] (numeric) = 1.7745478895685605367370608467703
absolute error = 1e-63
relative error = 5.6352381689914630204702476694153e-62 %
Correct digits = 64
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=140.99
x[1] = 0.887
y1[1] (analytic) = 1.6317404059674607448157139485358
y1[1] (numeric) = 1.6317404059674607448157139485358
absolute error = 2e-63
relative error = 1.2256851596527069650719501897211e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7751800174592143655260016289293
y2[1] (numeric) = 1.7751800174592143655260016289293
absolute error = 1e-63
relative error = 5.6332315042126452513643332312100e-62 %
Correct digits = 64
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=141.22
x[1] = 0.888
y1[1] (analytic) = 1.6309649102090215323525558352659
y1[1] (numeric) = 1.6309649102090215323525558352659
absolute error = 1e-63
relative error = 6.1313397593075242606754736432464e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7758113701699153334332118751625
y2[1] (numeric) = 1.7758113701699153334332118751625
absolute error = 1e-63
relative error = 5.6312287261924490850344814695538e-62 %
Correct digits = 64
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=141.45
x[1] = 0.889
y1[1] (analytic) = 1.630188783485724691275296774293
y1[1] (numeric) = 1.630188783485724691275296774293
absolute error = 1e-63
relative error = 6.1342588670115018240915515514750e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7764419470693107823704478162497
y2[1] (numeric) = 1.7764419470693107823704478162497
absolute error = 1e-63
relative error = 5.6292298301655864222441489768723e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.89
y1[1] (analytic) = 1.6294120265736968802035530573803
y1[1] (numeric) = 1.6294120265736968802035530573803
absolute error = 1e-63
relative error = 6.1371831291977448468527348948594e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7770717475268238654903337129732
y2[1] (numeric) = 1.7770717475268238654903337129732
absolute error = 1e-63
relative error = 5.6272348113784054238570141075073e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2346.0MB, alloc=4.6MB, time=141.68
TOP MAIN SOLVE Loop
x[1] = 0.891
y1[1] (analytic) = 1.6286346402496949464353952449452
y1[1] (numeric) = 1.6286346402496949464353952449452
absolute error = 2e-63
relative error = 1.2280225107414938595183896548619e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7777007709126541777631561554249
y2[1] (numeric) = 1.7777007709126541777631561554249
absolute error = 1e-63
relative error = 5.6252436650888652470578154316179e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2349.9MB, alloc=4.6MB, time=141.91
x[1] = 0.892
y1[1] (analytic) = 1.6278566252911051491905655977243
y1[1] (numeric) = 1.6278566252911051491905655977243
absolute error = 1e-63
relative error = 6.1430471484008779602319607588121e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7783290165977783857772166093547
y2[1] (numeric) = 1.7783290165977783857772166093547
absolute error = 1e-63
relative error = 5.6232563865665108589932872024435e-62 %
Correct digits = 64
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=142.15
x[1] = 0.893
y1[1] (analytic) = 1.6270779824759423822242836392167
y1[1] (numeric) = 1.6270779824759423822242836392167
absolute error = 2e-63
relative error = 1.2291973842314417531863752490034e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7789564839539508567621124092591
y2[1] (numeric) = 1.7789564839539508567621124092591
absolute error = 1e-63
relative error = 5.6212729710924479275936589378809e-62 %
Correct digits = 64
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=142.38
x[1] = 0.894
y1[1] (analytic) = 1.626298712582849395812417235037
y1[1] (numeric) = 1.626298712582849395812417235037
absolute error = 2e-63
relative error = 1.2297863759749566559237700058437e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7795831723537042868343171749836
y2[1] (numeric) = 1.7795831723537042868343171749836
absolute error = 1e-63
relative error = 5.6192934139593177893360884521431e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.895
y1[1] (analytic) = 1.6255188163910960181087972039415
y1[1] (numeric) = 1.6255188163910960181087972039415
absolute error = 2e-63
relative error = 1.2303764064942110683295241525538e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.780209081170350328464432406308
y2[1] (numeric) = 1.780209081170350328464432406308
absolute error = 1e-63
relative error = 5.6173177104712724937122963225958e-62 %
Correct digits = 64
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=142.61
x[1] = 0.896
y1[1] (analytic) = 1.6247382946805783758754541031468
y1[1] (numeric) = 1.6247382946805783758754541031468
absolute error = 2e-63
relative error = 1.2309674773765319730265279743277e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7808342097779802171654827883184
y2[1] (numeric) = 1.7808342097779802171654827883184
absolute error = 1e-63
relative error = 5.6153458559439499241635648568948e-62 %
Correct digits = 64
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=142.84
x[1] = 0.897
y1[1] (analytic) = 1.6239571482318181145865564576418
y1[1] (numeric) = 1.6239571482318181145865564576418
absolute error = 2e-63
relative error = 1.2315595902130923578999566316596e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7814585575514653974016285193201
y2[1] (numeric) = 1.7814585575514653974016285193201
absolute error = 1e-63
relative error = 5.6133778457044489952471561524040e-62 %
Correct digits = 64
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=143.07
x[1] = 0.898
y1[1] (analytic) = 1.6231753778259616179068303294869
y1[1] (numeric) = 1.6231753778259616179068303294869
absolute error = 2e-63
relative error = 1.2321527465989210381613683434334e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7820821238664581477166687526331
y2[1] (numeric) = 1.7820821238664581477166687526331
absolute error = 1e-63
relative error = 5.6114136750913049257990918295881e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.899
y1[1] (analytic) = 1.6223929842447792265452407486178
y1[1] (numeric) = 1.6223929842447792265452407486178
absolute error = 2e-63
relative error = 1.2327469481329125098768423063214e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7827049080993922050817110238177
y2[1] (numeric) = 1.7827049080993922050817110238177
absolute error = 1e-63
relative error = 5.6094533394544645878591214896089e-62 %
Correct digits = 64
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=143.30
x[1] = 0.9
y1[1] (analytic) = 1.6216099682706644564847161514071
y1[1] (numeric) = 1.6216099682706644564847161514071
absolute error = 2e-63
relative error = 1.2333421964178368350698866458395e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7833269096274833884613823157135
y2[1] (numeric) = 1.7833269096274833884613823157135
absolute error = 2e-63
relative error = 1.1214993668310523862249175819207e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2376.6MB, alloc=4.6MB, time=143.54
x[1] = 0.901
y1[1] (analytic) = 1.6208263306866332165886975971928
y1[1] (numeric) = 1.6208263306866332165886975971928
absolute error = 1e-63
relative error = 6.1696924653017477925514755014114e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7839481278287302215979581951327
y2[1] (numeric) = 1.7839481278287302215979581951327
absolute error = 2e-63
relative error = 1.1211088309132786965401548925763e-61 %
Correct digits = 64
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=143.77
x[1] = 0.902
y1[1] (analytic) = 1.6200420722763230255852951561612
y1[1] (numeric) = 1.6200420722763230255852951561612
absolute error = 1e-63
relative error = 6.1726791983550082815029076926472e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7845685620819145550127872371293
y2[1] (numeric) = 1.7845685620819145550127872371293
absolute error = 1e-63
relative error = 5.6035952960718939219161942512981e-62 %
Correct digits = 64
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=143.99
x[1] = 0.903
y1[1] (analytic) = 1.619257193823992228429834484361
y1[1] (numeric) = 1.619257193823992228429834484361
absolute error = 1e-63
relative error = 6.1756711893212475818603690809965e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7851882117666021872243887354735
y2[1] (numeric) = 1.7851882117666021872243887354735
absolute error = 1e-63
relative error = 5.6016502540671117299721509789619e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.904
y1[1] (analytic) = 1.6184716961145192120465772232376
y1[1] (numeric) = 1.6184716961145192120465772232376
absolute error = 1e-63
relative error = 6.1786684462923247550160144585396e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7858070762631434851826024812843
y2[1] (numeric) = 1.7858070762631434851826024812843
absolute error = 0
relative error = 0 %
Correct digits = 64
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=144.22
x[1] = 0.905
y1[1] (analytic) = 1.6176855799334016204503994819018
y1[1] (numeric) = 1.6176855799334016204503994819018
absolute error = 1e-63
relative error = 6.1816709773797262073648978219581e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7864251549526740039181701757212
y2[1] (numeric) = 1.7864251549526740039181701757212
absolute error = 0
relative error = 0 %
Correct digits = 64
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=144.45
x[1] = 0.906
y1[1] (analytic) = 1.6168988460667555692492132803878
y1[1] (numeric) = 1.6168988460667555692492132803878
absolute error = 2e-63
relative error = 1.2369357581429232149631096709596e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.787042447217115105407128827208
y2[1] (numeric) = 1.787042447217115105407128827208
absolute error = 1e-63
relative error = 5.5958379811137519370233922466826e-62 %
Correct digits = 64
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=144.68
x[1] = 0.907
y1[1] (analytic) = 1.6161114953013148595279164514162
y1[1] (numeric) = 1.6161114953013148595279164514162
absolute error = 2e-63
relative error = 1.2375383788895773538226590941911e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7876589524391745766493972688437
y2[1] (numeric) = 1.7876589524391745766493972688437
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.908
y1[1] (analytic) = 1.6153235284244301911146571166434
y1[1] (numeric) = 1.6153235284244301911146571166434
absolute error = 2e-63
relative error = 1.2381420593500419373096425090699e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7882746700023472469609377174681
y2[1] (numeric) = 1.7882746700023472469609377174681
absolute error = 0
relative error = 0 %
Correct digits = 64
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=144.91
x[1] = 0.909
y1[1] (analytic) = 1.6145349462240683752301994710699
y1[1] (numeric) = 1.6145349462240683752301994710699
absolute error = 3e-63
relative error = 1.8581202017436258238865616399040e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7888895992909156044788750822699
y2[1] (numeric) = 1.7888895992909156044788750822699
absolute error = 1e-63
relative error = 5.5900598918814354107495691971297e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2403.3MB, alloc=4.6MB, time=145.14
x[1] = 0.91
y1[1] (analytic) = 1.6137457494888115465211782261747
y1[1] (numeric) = 1.6137457494888115465211782261747
absolute error = 3e-63
relative error = 1.8590289089531694276748317068891e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7895037396899504118789575178715
y2[1] (numeric) = 1.7895037396899504118789575178715
absolute error = 1e-63
relative error = 5.5881414373197124198260167760832e-62 %
Correct digits = 64
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=145.37
x[1] = 0.911
y1[1] (analytic) = 1.6129559390078563744780296784564
y1[1] (numeric) = 1.6129559390078563744780296784564
absolute error = 2e-63
relative error = 1.2399594754151919918151942878948e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7901170905853113213047425044789
y2[1] (numeric) = 1.7901170905853113213047425044789
absolute error = 0
relative error = 0 %
Correct digits = 64
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=145.60
x[1] = 0.912
y1[1] (analytic) = 1.612165515571013274238387985384
y1[1] (numeric) = 1.612165515571013274238387985384
absolute error = 2e-63
relative error = 1.2405674111517138738976310284599e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7907296513636474885078935259636
y2[1] (numeric) = 1.7907296513636474885078935259636
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.913
y1[1] (analytic) = 1.6113744799687056167767358452946
y1[1] (numeric) = 1.6113744799687056167767358452946
absolute error = 2e-63
relative error = 1.2411764148324117993810120281670e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7913414214123981861989732056309
y2[1] (numeric) = 1.7913414214123981861989732056309
absolute error = 0
relative error = 0 %
Correct digits = 64
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=145.83
x[1] = 0.914
y1[1] (analytic) = 1.6105828329919689384810993915234
y1[1] (numeric) = 1.6105828329919689384810993915234
absolute error = 2e-63
relative error = 1.2417864881153696387867770554386e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7919524001197934166081195489314
y2[1] (numeric) = 1.7919524001197934166081195489314
absolute error = 0
relative error = 0 %
Correct digits = 64
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=146.06
x[1] = 0.915
y1[1] (analytic) = 1.609790575432450150117577724003
y1[1] (numeric) = 1.609790575432450150117577724003
absolute error = 2e-63
relative error = 1.2423976326626989707958084204334e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7925625868748545232549927324916
y2[1] (numeric) = 1.7925625868748545232549927324916
absolute error = 0
relative error = 0 %
Correct digits = 64
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=146.29
x[1] = 0.916
y1[1] (analytic) = 1.6089977080824067451834981137382
y1[1] (numeric) = 1.6089977080824067451834981137382
absolute error = 1e-63
relative error = 6.2150492507027474398953263186546e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7931719810673948019273806695674
y2[1] (numeric) = 1.7931719810673948019273806695674
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.917
y1[1] (analytic) = 1.6082042317347060076499885269339
y1[1] (numeric) = 1.6082042317347060076499885269339
absolute error = 1e-63
relative error = 6.2181157110955971802783326522896e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7937805820880201108678523733656
y2[1] (numeric) = 1.7937805820880201108678523733656
absolute error = 0
relative error = 0 %
Correct digits = 64
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=146.51
x[1] = 0.918
y1[1] (analytic) = 1.6074101471828242190947597261393
y1[1] (numeric) = 1.6074101471828242190947597261393
absolute error = 1e-63
relative error = 6.2211875528633304339876873820036e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7943883893281294801678489316321
y2[1] (numeric) = 1.7943883893281294801678489316321
absolute error = 0
relative error = 0 %
Correct digits = 64
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=146.75
x[1] = 0.919
y1[1] (analytic) = 1.6066154552208458652258898155579
y1[1] (numeric) = 1.6066154552208458652258898155579
absolute error = 2e-63
relative error = 1.2448529568795162447002203955093e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7949954021799157203686026984643
y2[1] (numeric) = 1.7949954021799157203686026984643
absolute error = 0
relative error = 0 %
Correct digits = 64
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=146.98
x[1] = 0.92
y1[1] (analytic) = 1.6058201566434628417974047066744
y1[1] (numeric) = 1.6058201566434628417974047066744
absolute error = 2e-63
relative error = 1.2454694828220767875399382800796e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7956016200363660302682761024816
y2[1] (numeric) = 1.7956016200363660302682761024816
absolute error = 0
relative error = 0 %
Correct digits = 64
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=147.21
x[1] = 0.921
y1[1] (analytic) = 1.6050242522459736599174485885512
y1[1] (numeric) = 1.6050242522459736599174485885512
absolute error = 2e-63
relative error = 1.2460870900868452409374903366306e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7962070422912626039347122642647
y2[1] (numeric) = 1.7962070422912626039347122642647
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.922
y1[1] (analytic) = 1.6042277428242826507498390945582
y1[1] (numeric) = 1.6042277428242826507498390945582
absolute error = 1e-63
relative error = 6.2335289018221019352502534646961e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7968116683391832369231904103635
y2[1] (numeric) = 1.7968116683391832369231904103635
absolute error = 0
relative error = 0 %
Correct digits = 64
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=147.44
x[1] = 0.923
y1[1] (analytic) = 1.6034306291748991696098024639136
y1[1] (numeric) = 1.6034306291748991696098024639136
absolute error = 2e-63
relative error = 1.2473255553495129075124362558044e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.797415497575501931698579866169
y2[1] (numeric) = 1.797415497575501931698579866169
absolute error = 0
relative error = 0 %
Correct digits = 64
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=147.67
x[1] = 0.924
y1[1] (analytic) = 1.6026329120949367994546846022351
y1[1] (numeric) = 1.6026329120949367994546846022351
absolute error = 1e-63
relative error = 6.2397320837047803037495326293605e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7980185293963895022612872055464
y2[1] (numeric) = 1.7980185293963895022612872055464
absolute error = 0
relative error = 0 %
Correct digits = 64
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=147.91
x[1] = 0.925
y1[1] (analytic) = 1.6018345923821125537704345503238
y1[1] (numeric) = 1.6018345923821125537704345503238
absolute error = 1e-63
relative error = 6.2428418312085819689252862816029e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7986207631988141779763919313308
y2[1] (numeric) = 1.7986207631988141779763919313308
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.926
y1[1] (analytic) = 1.6010356708347460788546574746306
y1[1] (numeric) = 1.6010356708347460788546574746306
absolute error = 1e-63
relative error = 6.2459570277945224433093558374862e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7992221983805422066053668576022
y2[1] (numeric) = 1.7992221983805422066053668576022
absolute error = 1e-63
relative error = 5.5579572156239941504702492032832e-62 %
Correct digits = 64
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=148.13
x[1] = 0.927
y1[1] (analytic) = 1.6002361482517588554970348962863
y1[1] (numeric) = 1.6002361482517588554970348962863
absolute error = 1e-63
relative error = 6.2490776820189287180524625544511e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.7998228343401384565397801620681
y2[1] (numeric) = 1.7998228343401384565397801620681
absolute error = 0
relative error = 0 %
Correct digits = 64
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=148.36
x[1] = 0.928
y1[1] (analytic) = 1.5994360254326734000579104782075
y1[1] (numeric) = 1.5994360254326734000579104782075
absolute error = 1e-63
relative error = 6.2522038024589559453839906217002e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8004226704769670182363768749028
y2[1] (numeric) = 1.8004226704769670182363768749028
absolute error = 1e-63
relative error = 5.5542513233022139783371493071277e-62 %
Correct digits = 64
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=148.59
x[1] = 0.929
y1[1] (analytic) = 1.5986353031776124649458402916272
y1[1] (numeric) = 1.5986353031776124649458402916272
absolute error = 1e-63
relative error = 6.2553353977126416937067287372628e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8010217061911918048529383690117
y2[1] (numeric) = 1.8010217061911918048529383690117
absolute error = 1e-63
relative error = 5.5524039302935674176125805356798e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.93
y1[1] (analytic) = 1.597833982287298238494907084433
y1[1] (numeric) = 1.597833982287298238494907084433
absolute error = 1e-63
relative error = 6.2584724763989603782639539155791e-62 %
Correct digits = 64
memory used=2464.3MB, alloc=4.6MB, time=148.83
h = 0.001
y2[1] (analytic) = 1.8016199408837771520843192159107
y2[1] (numeric) = 1.8016199408837771520843192159107
absolute error = 1e-63
relative error = 5.5505602336387005598096986734646e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.931
y1[1] (analytic) = 1.5970320635630515442425986739304
y1[1] (numeric) = 1.5970320635630515442425986739304
absolute error = 1e-63
relative error = 6.2616150471578778680068770463704e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8022173739564884171980615712348
y2[1] (numeric) = 1.8022173739564884171980615712348
absolute error = 1e-63
relative error = 5.5487202290401588369609578709240e-62 %
Correct digits = 64
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=149.05
x[1] = 0.932
y1[1] (analytic) = 1.5962295478067910396090511860886
y1[1] (numeric) = 1.5962295478067910396090511860886
absolute error = 1e-63
relative error = 6.2647631186504062692930448807478e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.802814004811892577268988054311
y2[1] (numeric) = 1.802814004811892577268988054311
absolute error = 1e-63
relative error = 5.5468839122111268693600745553819e-62 %
Correct digits = 64
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=149.29
x[1] = 0.933
y1[1] (analytic) = 1.5954264358210324139784584619569
y1[1] (numeric) = 1.5954264358210324139784584619569
absolute error = 1e-63
relative error = 6.2679166995586588870488798973664e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8034098328533588266121748872515
y2[1] (numeric) = 1.8034098328533588266121748872515
absolute error = 1e-63
relative error = 5.5450512788754062571588239930748e-62 %
Correct digits = 64
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=149.51
x[1] = 0.934
y1[1] (analytic) = 1.5946227284088875861834495497756
y1[1] (numeric) = 1.5946227284088875861834495497756
absolute error = 1e-63
relative error = 6.2710757985859053640321379579742e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8040048574850591734137078606457
y2[1] (numeric) = 1.8040048574850591734137078606457
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.935
y1[1] (analytic) = 1.5938184263740639013932367983387
y1[1] (numeric) = 1.5938184263740639013932367983387
absolute error = 1e-63
relative error = 6.2742404244566269988326738562842e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8045990781119690355586244951433
y2[1] (numeric) = 1.8045990781119690355586244951433
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2479.6MB, alloc=4.6MB, time=149.74
x[1] = 0.936
y1[1] (analytic) = 1.5930135305208633274063376633907
y1[1] (numeric) = 1.5930135305208633274063376633907
absolute error = 2e-63
relative error = 1.2554821171833144486505053710772e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8051924941398678356554465710368
y2[1] (numeric) = 1.8051924941398678356554465710368
absolute error = 0
relative error = 0 %
Correct digits = 64
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=149.97
x[1] = 0.937
y1[1] (analytic) = 1.5922080416541816503486739342715
y1[1] (numeric) = 1.5922080416541816503486739342715
absolute error = 1e-63
relative error = 6.2805862917328123797089721558765e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8057851049753395952567080013595
y2[1] (numeric) = 1.8057851049753395952567080013595
absolute error = 1e-63
relative error = 5.5377574953120257026400677374965e-62 %
Correct digits = 64
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=150.20
x[1] = 0.938
y1[1] (analytic) = 1.5914019605795076697778526826406
y1[1] (numeric) = 1.5914019605795076697778526826406
absolute error = 2e-63
relative error = 1.2567535101387594758613659997707e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8063769100257735282748838280223
y2[1] (numeric) = 1.8063769100257735282748838280223
absolute error = 1e-63
relative error = 5.5359432156699341396047736520600e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.939
y1[1] (analytic) = 1.590595288102922393194433828935
y1[1] (numeric) = 1.590595288102922393194433828935
absolute error = 1e-63
relative error = 6.2869543716094119412289818444843e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8069679086993646335931269251073
y2[1] (numeric) = 1.8069679086993646335931269251073
absolute error = 1e-63
relative error = 5.5341325940856849938485370682395e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2491.0MB, alloc=4.6MB, time=150.43
TOP MAIN SOLVE Loop
x[1] = 0.94
y1[1] (analytic) = 1.589788025031098229960989815224
y1[1] (numeric) = 1.589788025031098229960989815224
absolute error = 1e-63
relative error = 6.2901467633110317140967128380040e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8075581004051142868702197986341
y2[1] (numeric) = 1.8075581004051142868702197986341
absolute error = 1e-63
relative error = 5.5323256263567825837214471555806e-62 %
Correct digits = 64
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=150.66
x[1] = 0.941
y1[1] (analytic) = 1.5889801721712981846297634653354
y1[1] (numeric) = 1.5889801721712981846297634653354
absolute error = 1e-63
relative error = 6.2933447346515796999541816409914e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8081474845528308315391496778929
y2[1] (numeric) = 1.8081474845528308315391496778929
absolute error = 1e-63
relative error = 5.5305223082911729746164740029489e-62 %
Correct digits = 64
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=150.90
x[1] = 0.942
y1[1] (analytic) = 1.5881717303313750496797307045275
y1[1] (numeric) = 1.5881717303313750496797307045275
absolute error = 1e-63
relative error = 6.2965482945055828415340127271987e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8087360605531301689987158998209
y2[1] (numeric) = 1.8087360605531301689987158998209
absolute error = 2e-63
relative error = 1.1057445271414444752281035505304e-61 %
Correct digits = 64
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=151.13
x[1] = 0.943
y1[1] (analytic) = 1.5873627003197705976638754015769
y1[1] (numeric) = 1.5873627003197705976638754015769
absolute error = 1e-63
relative error = 6.2997574517692287934637124800490e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8093238278174363479975793948635
y2[1] (numeric) = 1.8093238278174363479975793948635
absolute error = 2e-63
relative error = 1.1053853208867391211137858699042e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.944
y1[1] (analytic) = 1.58655308294551477276748418594
y1[1] (numeric) = 1.58655308294551477276748418594
absolute error = 1e-63
relative error = 6.3029722153604228780753289444020e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8099107857579821532101648903185
y2[1] (numeric) = 1.8099107857579821532101648903185
absolute error = 2e-63
relative error = 1.1050268420619469234771462321056e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2506.3MB, alloc=4.6MB, time=151.36
x[1] = 0.945
y1[1] (analytic) = 1.5857428790182248817782696816264
y1[1] (numeric) = 1.5857428790182248817782696816264
absolute error = 1e-63
relative error = 6.3061925942188452264835059399389e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8104969337878096930038272553123
y2[1] (numeric) = 1.8104969337878096930038272553123
absolute error = 1e-63
relative error = 5.5233454491848370987125042159883e-62 %
Correct digits = 64
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=151.59
x[1] = 0.946
y1[1] (analytic) = 1.5849320893481047844691311875929
y1[1] (numeric) = 1.5849320893481047844691311875929
absolute error = 1e-63
relative error = 6.3094185973060081055998254994779e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8110822713207709863966942202884
y2[1] (numeric) = 1.8110822713207709863966942202884
absolute error = 2e-63
relative error = 1.1043120633837670260859288935687e-61 %
Correct digits = 64
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=151.82
x[1] = 0.947
y1[1] (analytic) = 1.5841207147459440833943624218299
y1[1] (numeric) = 1.5841207147459440833943624218299
absolute error = 1e-63
relative error = 6.3126502336053134317540883149721e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8116667977715285492055985132169
y2[1] (numeric) = 1.8116667977715285492055985132169
absolute error = 2e-63
relative error = 1.1039557618763747827588846533234e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.948
y1[1] (analytic) = 1.5833087560231173131001165328662
y1[1] (numeric) = 1.5833087560231173131001165328662
absolute error = 2e-63
relative error = 1.2631775024244220943191900238972e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8122505125555559793835132646391
y2[1] (numeric) = 1.8122505125555559793835132646391
absolute error = 2e-63
relative error = 1.1036001844908781124722034478009e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2517.7MB, alloc=4.6MB, time=152.05
TOP MAIN SOLVE Loop
x[1] = 0.949
y1[1] (analytic) = 1.5824962139915831287499391681575
y1[1] (numeric) = 1.5824962139915831287499391681575
absolute error = 2e-63
relative error = 1.2638260883767507461906225536117e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8128334150891385415459053441629
y2[1] (numeric) = 1.8128334150891385415459053441629
absolute error = 2e-63
relative error = 1.1032453304054185918016799830675e-61 %
Correct digits = 64
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=152.28
x[1] = 0.95
y1[1] (analytic) = 1.5816830894638834941661809737605
y1[1] (numeric) = 1.5816830894638834941661809737605
absolute error = 1e-63
relative error = 6.3223790319396610323250622673497e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8134155047893737506854221021026
y2[1] (numeric) = 1.8134155047893737506854221021026
absolute error = 1e-63
relative error = 5.5144559940009386778827118227613e-62 %
Correct digits = 64
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=152.51
x[1] = 0.951
y1[1] (analytic) = 1.5808693832531428692881014838095
y1[1] (numeric) = 1.5808693832531428692881014838095
absolute error = 2e-63
relative error = 1.2651266582722743563388304413927e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8139967810741719550743278016264
y2[1] (numeric) = 1.8139967810741719550743278016264
absolute error = 1e-63
relative error = 5.5126889442871139710614473384666e-62 %
Correct digits = 64
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=152.74
x[1] = 0.952
y1[1] (analytic) = 1.580055096173067397047476941627
y1[1] (numeric) = 1.580055096173067397047476941627
absolute error = 2e-63
relative error = 1.2657786458485210850677300056795e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8145772433622569183541068390228
y2[1] (numeric) = 1.8145772433622569183541068390228
absolute error = 1e-63
relative error = 5.5109254988070128197475154000149e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.953
y1[1] (analytic) = 1.5792402290379440896625251767901
y1[1] (numeric) = 1.5792402290379440896625251767901
absolute error = 1e-63
relative error = 6.3321588546993200973351953949714e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8151568910731664008116516625311
y2[1] (numeric) = 1.8151568910731664008116516625311
absolute error = 1e-63
relative error = 5.5091656534922160498019472090900e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2533.0MB, alloc=4.6MB, time=152.97
x[1] = 0.954
y1[1] (analytic) = 1.5784247826626400143509612441614
y1[1] (numeric) = 1.5784247826626400143509612441614
absolute error = 1e-63
relative error = 6.3354301768697714584409646625975e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8157357236272527398414541135974
y2[1] (numeric) = 1.8157357236272527398414541135974
absolute error = 1e-63
relative error = 5.5074094042844705114247373531704e-62 %
Correct digits = 64
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=153.19
x[1] = 0.955
y1[1] (analytic) = 1.5776087578626014784629981117605
y1[1] (numeric) = 1.5776087578626014784629981117605
absolute error = 1e-63
relative error = 6.3387072049145717270486931619083e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8163137404456834295932197284127
y2[1] (numeric) = 1.8163137404456834295932197284127
absolute error = 1e-63
relative error = 5.5056567471356683227940153188627e-62 %
Correct digits = 64
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=153.43
x[1] = 0.956
y1[1] (analytic) = 1.5767921554538532140351072644082
y1[1] (numeric) = 1.5767921554538532140351072644082
absolute error = 1e-63
relative error = 6.3419899480167489029105777524645e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8168909409504416998043253521668
y2[1] (numeric) = 1.8168909409504416998043253521668
absolute error = 1e-63
relative error = 5.5039076780078261774744521931390e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.957
y1[1] (analytic) = 1.5759749762529975617653546693133
y1[1] (numeric) = 1.5759749762529975617653546693133
absolute error = 1e-63
relative error = 6.3452784153818061843299659653252e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8174673245643270938165412336083
y2[1] (numeric) = 1.8174673245643270938165412336083
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2544.4MB, alloc=4.6MB, time=153.66
x[1] = 0.958
y1[1] (analytic) = 1.5751572210772136544111281281996
y1[1] (numeric) = 1.5751572210772136544111281281996
absolute error = 1e-63
relative error = 6.3485726162377815795226350772882e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8180428907109560457764395832387
y2[1] (numeric) = 1.8180428907109560457764395832387
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2548.2MB, alloc=4.6MB, time=153.89
x[1] = 0.959
y1[1] (analytic) = 1.5743388907442565996100726181766
y1[1] (numeric) = 1.5743388907442565996100726181766
absolute error = 1e-63
relative error = 6.3518725598353077128523747251211e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8186176388147624570189123947776
y2[1] (numeric) = 1.8186176388147624570189123947776
absolute error = 1e-63
relative error = 5.4986819585216628021669526354968e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2552.0MB, alloc=4.6MB, time=154.12
x[1] = 0.96
y1[1] (analytic) = 1.5735199860724566621250508003519
y1[1] (numeric) = 1.5735199860724566621250508003519
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8191915683009982716332221464304
y2[1] (numeric) = 1.8191915683009982716332221464304
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2555.8MB, alloc=4.6MB, time=154.35
x[1] = 0.961
y1[1] (analytic) = 1.5727005078807184455139464511542
y1[1] (numeric) = 1.5727005078807184455139464511542
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8197646785957340512110098159569
y2[1] (numeric) = 1.8197646785957340512110098159569
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.962
y1[1] (analytic) = 1.5718804569885200732251291464982
y1[1] (numeric) = 1.5718804569885200732251291464982
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.820336969125859548775685461578
y2[1] (numeric) = 1.820336969125859548775685461578
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2559.7MB, alloc=4.6MB, time=154.58
x[1] = 0.963
y1[1] (analytic) = 1.5710598342159123691193991032558
y1[1] (numeric) = 1.5710598342159123691193991032558
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8209084393190842818926274393802
y2[1] (numeric) = 1.8209084393190842818926274393802
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2563.5MB, alloc=4.6MB, time=154.81
x[1] = 0.964
y1[1] (analytic) = 1.5702386403835180374192316560228
y1[1] (numeric) = 1.5702386403835180374192316560228
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8214790886039381049596171470655
y2[1] (numeric) = 1.8214790886039381049596171470655
absolute error = 1e-63
relative error = 5.4900438125064839304537557373885e-62 %
Correct digits = 64
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=155.04
x[1] = 0.965
y1[1] (analytic) = 1.5694168763125308420861414198663
y1[1] (numeric) = 1.5694168763125308420861414198663
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8220489164097717806769370036593
y2[1] (numeric) = 1.8220489164097717806769370036593
absolute error = 1e-63
relative error = 5.4883268555184269989583308251640e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.966
y1[1] (analytic) = 1.5685945428247147856269867616215
y1[1] (numeric) = 1.5685945428247147856269867616215
absolute error = 1e-63
relative error = 6.3751337436072329144299619281237e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8226179221667575506965601951263
y2[1] (numeric) = 1.8226179221667575506965601951263
absolute error = 1e-63
relative error = 5.4866134467238415424763501940128e-62 %
Correct digits = 64
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=155.27
x[1] = 0.967
y1[1] (analytic) = 1.5677716407424032873300357733647
y1[1] (numeric) = 1.5677716407424032873300357733647
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8231861053058897054498615367527
y2[1] (numeric) = 1.8231861053058897054498615367527
absolute error = 1e-63
relative error = 5.4849035821947669236002390105807e-62 %
Correct digits = 64
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=155.50
x[1] = 0.968
y1[1] (analytic) = 1.5669481708884983609316155119276
y1[1] (numeric) = 1.5669481708884983609316155119276
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8237534652589851531532796246302
y2[1] (numeric) = 1.8237534652589851531532796246302
absolute error = 1e-63
relative error = 5.4831972580131236753339510565120e-62 %
Correct digits = 64
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=155.73
x[1] = 0.969
y1[1] (analytic) = 1.5661241340864697917141668377364
y1[1] (numeric) = 1.5661241340864697917141668377364
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8243200014586839879913612706282
y2[1] (numeric) = 1.8243200014586839879913612706282
absolute error = 1e-63
relative error = 5.4814944702706936206109401515319e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2582.6MB, alloc=4.6MB, time=155.96
x[1] = 0.97
y1[1] (analytic) = 1.5652995311603543130365277548499
y1[1] (numeric) = 1.5652995311603543130365277548499
absolute error = 1e-63
relative error = 6.3885536288297577414606582940403e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8248857133384500574766200378563
y2[1] (numeric) = 1.8248857133384500574766200378563
absolute error = 2e-63
relative error = 1.0959590430138200106013713556066e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.971
y1[1] (analytic) = 1.5644743629347547822972687218476
y1[1] (numeric) = 1.5644743629347547822972687218476
absolute error = 1e-63
relative error = 6.3919232151821732483792084734718e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8254506003325715289856415168064
y2[1] (numeric) = 1.8254506003325715289856415168064
absolute error = 1e-63
relative error = 5.4780994885197879784681729347722e-62 %
Correct digits = 64
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=156.19
x[1] = 0.972
y1[1] (analytic) = 1.5636486302348393563319039701617
y1[1] (numeric) = 1.5636486302348393563319039701617
absolute error = 1e-63
relative error = 6.3952986666180446035252399955791e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8260146618761614554708688061158
y2[1] (numeric) = 1.8260146618761614554708688061158
absolute error = 1e-63
relative error = 5.4764072867440044178786040512476e-62 %
Correct digits = 64
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=156.42
x[1] = 0.973
y1[1] (analytic) = 1.5628223338863406662448034325732
y1[1] (numeric) = 1.5628223338863406662448034325732
absolute error = 1e-63
relative error = 6.3986799927107195441988138441213e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8265778974051583403475024862134
y2[1] (numeric) = 1.8265778974051583403475024862134
absolute error = 1e-63
relative error = 5.4747186058727787702858600699384e-62 %
Correct digits = 64
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=156.65
x[1] = 0.974
y1[1] (analytic) = 1.5619954747155549916766304498929
y1[1] (numeric) = 1.5619954747155549916766304498929
absolute error = 1e-63
relative error = 6.4020672030570613905653837075961e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8271403063563267015549501989961
y2[1] (numeric) = 1.8271403063563267015549501989961
absolute error = 1e-63
relative error = 5.4730334420469032366119185620195e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.975
y1[1] (analytic) = 1.5611680535493414345081309883184
y1[1] (numeric) = 1.5611680535493414345081309883184
absolute error = 1e-63
relative error = 6.4054603072775120681484237417711e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8277018881672576347922617721328
y2[1] (numeric) = 1.8277018881672576347922617721328
absolute error = 1e-63
relative error = 5.4713517914169133036706709945770e-62 %
Correct digits = 64
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=156.88
x[1] = 0.976
y1[1] (analytic) = 1.5603400712151210920011006636115
y1[1] (numeric) = 1.5603400712151210920011006636115
absolute error = 1e-63
relative error = 6.4088593150161553376349191175049e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8282626422763693759269866526067
y2[1] (numeric) = 1.8282626422763693759269866526067
absolute error = 1e-63
relative error = 5.4696736501430682883174490247984e-62 %
Correct digits = 64
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=157.11
x[1] = 0.977
y1[1] (analytic) = 1.5595115285408762293773564310583
y1[1] (numeric) = 1.5595115285408762293773564310583
absolute error = 1e-63
relative error = 6.4122642359407802327531594709142e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8288225681229078625768912406878
y2[1] (numeric) = 1.8288225681229078625768912406878
absolute error = 1e-63
relative error = 5.4679990143953319415555909701508e-62 %
Correct digits = 64
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=157.35
x[1] = 0.978
y1[1] (analytic) = 1.5586824263551494518365403621718
y1[1] (numeric) = 1.5586824263551494518365403621718
absolute error = 1e-63
relative error = 6.4156750797429447069854502942896e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8293816651469472948639745426626
y2[1] (numeric) = 1.8293816651469472948639745426626
absolute error = 1e-63
relative error = 5.4663278803533531124258594041559e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2609.3MB, alloc=4.6MB, time=157.58
x[1] = 0.979
y1[1] (analytic) = 1.5578527654870428760135834902649
y1[1] (numeric) = 1.5578527654870428760135834902649
absolute error = 1e-63
relative error = 6.4190918561380394898815468752652e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8299399327893906953402213883531
y2[1] (numeric) = 1.8299399327893906953402213883531
absolute error = 2e-63
relative error = 1.0929320488412892943010338331932e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.98
y1[1] (analytic) = 1.5570225467662173008766582673599
y1[1] (numeric) = 1.5570225467662173008766582673599
absolute error = 1e-63
relative error = 6.4225145748653521537418196832683e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8304973704919704680845332877191
y2[1] (numeric) = 1.8304973704919704680845332877191
absolute error = 1e-63
relative error = 5.4629961021535732938417309594083e-62 %
Correct digits = 64
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=157.81
x[1] = 0.981
y1[1] (analytic) = 1.5561917710228913780664487344139
y1[1] (numeric) = 1.5561917710228913780664487344139
absolute error = 1e-63
relative error = 6.4259432456881313914423791912681e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8310539776972489569702778296585
y2[1] (numeric) = 1.8310539776972489569702778296585
absolute error = 1e-63
relative error = 5.4613354504033223011543591643307e-62 %
Correct digits = 64
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=158.04
x[1] = 0.982
y1[1] (analytic) = 1.5553604390878407816775680655199
y1[1] (numeric) = 1.5553604390878407816775680655199
absolute error = 1e-63
relative error = 6.4293778783936515061776220828103e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.831609753848619003102898355503
y2[1] (numeric) = 1.831609753848619003102898355503
absolute error = 0
relative error = 0 %
Correct digits = 64
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=158.28
x[1] = 0.983
y1[1] (analytic) = 1.5545285517923973774829537045974
y1[1] (numeric) = 1.5545285517923973774829537045974
absolute error = 1e-63
relative error = 6.4328184827932771138989097051615e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8321646983903045014270264696466
y2[1] (numeric) = 1.8321646983903045014270264696466
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.984
y1[1] (analytic) = 1.5536961099684483916020708701086
y1[1] (numeric) = 1.5536961099684483916020708701086
absolute error = 1e-63
relative error = 6.4362650687225280592313535654286e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8327188107673609565025407802402
y2[1] (numeric) = 1.8327188107673609565025407802402
absolute error = 1e-63
relative error = 5.4563743991982006896056752085656e-62 %
Correct digits = 64
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=158.51
x[1] = 0.985
y1[1] (analytic) = 1.5528631144484355786137557595258
y1[1] (numeric) = 1.5528631144484355786137557595258
absolute error = 2e-63
relative error = 1.2879435292082289091307923409031e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8332720904256760374490160939396
y2[1] (numeric) = 1.8332720904256760374490160939396
absolute error = 1e-63
relative error = 5.4547276709362073687994533616291e-62 %
Correct digits = 64
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=158.74
x[1] = 0.986
y1[1] (analytic) = 1.5520295660653543891145303406393
y1[1] (numeric) = 1.5520295660653543891145303406393
absolute error = 2e-63
relative error = 1.2886352449266304961463388001813e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8338245368119701320580081203051
y2[1] (numeric) = 1.8338245368119701320580081203051
absolute error = 1e-63
relative error = 5.4530844141635251455203436329614e-62 %
Correct digits = 64
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=158.97
x[1] = 0.987
y1[1] (analytic) = 1.5511954656527531367232211713211
y1[1] (numeric) = 1.5511954656527531367232211713211
absolute error = 1e-63
relative error = 6.4466408144069290371912839301412e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8343761493737969000726195736126
y2[1] (numeric) = 1.8343761493737969000726195736126
absolute error = 1e-63
relative error = 5.4514446251461084049467986442492e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.988
y1[1] (analytic) = 1.5503608140447321645327152430547
y1[1] (numeric) = 1.5503608140447321645327152430547
absolute error = 1e-63
relative error = 6.4501114252952684306360091145086e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8349269275595438256337943925575
y2[1] (numeric) = 1.8349269275595438256337943925575
absolute error = 1e-63
relative error = 5.4498083001594065193845180436764e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2636.0MB, alloc=4.6MB, time=159.20
TOP MAIN SOLVE Loop
x[1] = 0.989
y1[1] (analytic) = 1.5495256120759430110096863964084
y1[1] (numeric) = 1.5495256120759430110096863964084
absolute error = 1e-63
relative error = 6.4535880672554479146979332194017e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8354768708184327688927876316028
y2[1] (numeric) = 1.8354768708184327688927876316028
absolute error = 0
relative error = 0 %
Correct digits = 64
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=159.44
x[1] = 0.99
y1[1] (analytic) = 1.5486898605815875753431264086536
y1[1] (numeric) = 1.5486898605815875753431264086536
absolute error = 1e-63
relative error = 6.4570707502692939944294974668818e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8360259786005205167892594115471
y2[1] (numeric) = 1.8360259786005205167892594115471
absolute error = 0
relative error = 0 %
Correct digits = 64
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=159.67
x[1] = 0.991
y1[1] (analytic) = 1.5478535603974172822425154049293
y1[1] (numeric) = 1.5478535603974172822425154049293
absolute error = 1e-63
relative error = 6.4605594843432488587397113226231e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8365742503566993329944421512648
y2[1] (numeric) = 1.8365742503566993329944421512648
absolute error = 0
relative error = 0 %
Correct digits = 64
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=159.90
x[1] = 0.992
y1[1] (analytic) = 1.5470167123597322461864667947115
y1[1] (numeric) = 1.5470167123597322461864667947115
absolute error = 2e-63
relative error = 1.2928108559016874065367157698736e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8371216855386975070188311374975
y2[1] (numeric) = 1.8371216855386975070188311374975
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.993
y1[1] (analytic) = 1.5461793173053804351226824848735
y1[1] (numeric) = 1.5461793173053804351226824848735
absolute error = 1e-63
relative error = 6.4675551458207322504167998885499e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8376682835990799024838493250509
y2[1] (numeric) = 1.8376682835990799024838493250509
absolute error = 0
relative error = 0 %
Correct digits = 64
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=160.12
x[1] = 0.994
y1[1] (analytic) = 1.5453413760717568336200546693127
y1[1] (numeric) = 1.5453413760717568336200546693127
absolute error = 1e-63
relative error = 6.4710620933608245496312037125245e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8382140439912485045569380957783
y2[1] (numeric) = 1.8382140439912485045569380957783
absolute error = 0
relative error = 0 %
Correct digits = 64
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=160.36
x[1] = 0.995
y1[1] (analytic) = 1.5445028894968026054737510429714
y1[1] (numeric) = 1.5445028894968026054737510429714
absolute error = 2e-63
relative error = 1.2949150264468575176579614328097e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8387589661694429665495265413068
y2[1] (numeric) = 1.8387589661694429665495265413068
absolute error = 1e-63
relative error = 5.4384507072355957603703834156430e-62 %
Correct digits = 64
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=160.59
x[1] = 0.996
y1[1] (analytic) = 1.5436638584190042557641208350967
y1[1] (numeric) = 1.5436638584190042557641208350967
absolute error = 1e-63
relative error = 6.4780942725716461844838396488220e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8393030495887411556773326715804
y2[1] (numeric) = 1.8393030495887411556773326715804
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 0.997
y1[1] (analytic) = 1.5428242836773927923702596027651
y1[1] (numeric) = 1.5428242836773927923702596027651
absolute error = 2e-63
relative error = 1.2963239049056888160475087506314e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.839846293705059697982450788966
y2[1] (numeric) = 1.839846293705059697982450788966
absolute error = 1e-63
relative error = 5.4352366467864680972855509336699e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2662.7MB, alloc=4.6MB, time=160.82
TOP MAIN SOLVE Loop
x[1] = 0.998
y1[1] (analytic) = 1.5419841661115428869390712710343
y1[1] (numeric) = 1.5419841661115428869390712710343
absolute error = 2e-63
relative error = 1.2970301796570623860180085609265e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8403886979751545224166801058793
y2[1] (numeric) = 1.8403886979751545224166801058793
absolute error = 1e-63
relative error = 5.4336347593322382218894374630662e-62 %
Correct digits = 64
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=161.05
x[1] = 0.999
y1[1] (analytic) = 1.5411435065615720353106664505939
y1[1] (numeric) = 1.5411435065615720353106664505939
absolute error = 2e-63
relative error = 1.2977376808096071030574130923837e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8409302618566214040855505226477
y2[1] (numeric) = 1.8409302618566214040855505226477
absolute error = 1e-63
relative error = 5.4320362955600312343682493975827e-62 %
Correct digits = 64
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=161.28
x[1] = 1
y1[1] (analytic) = 1.540302305868139717400936607443
y1[1] (numeric) = 1.540302305868139717400936607443
absolute error = 2e-63
relative error = 1.2984464104095248368837664988544e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8414709848078965066525023216303
y2[1] (numeric) = 1.8414709848078965066525023216303
absolute error = 1e-63
relative error = 5.4304412518577949436983612725811e-62 %
Correct digits = 64
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=161.51
x[1] = 1.001
y1[1] (analytic) = 1.5394605648724465565421442019535
y1[1] (numeric) = 1.5394605648724465565421442019535
absolute error = 2e-63
relative error = 1.2991563705080759042687884750727e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8420108662882569239026773734589
y2[1] (numeric) = 1.8420108662882569239026773734589
absolute error = 1e-63
relative error = 5.4288496246227336353161589039058e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.002
y1[1] (analytic) = 1.5386182844162334782823694566573
y1[1] (numeric) = 1.5386182844162334782823694566573
absolute error = 2e-63
relative error = 1.2998675631615928482485280509101e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.842549905757821220465780291656
y2[1] (numeric) = 1.842549905757821220465780291656
absolute error = 1e-63
relative error = 5.4272614102612901191889058769009e-62 %
Correct digits = 64
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=161.74
x[1] = 1.003
y1[1] (analytic) = 1.5377754653417808686446549532403
y1[1] (numeric) = 1.5377754653417808686446549532403
absolute error = 2e-63
relative error = 1.3005799904314942631292838732433e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8430881026775499716974688128113
y2[1] (numeric) = 1.8430881026775499716974688128113
absolute error = 1e-63
relative error = 5.4256766051891278335182306799815e-62 %
Correct digits = 64
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=161.97
x[1] = 1.004
y1[1] (analytic) = 1.5369321084919077318466897995304
y1[1] (numeric) = 1.5369321084919077318466897995304
absolute error = 2e-63
relative error = 1.3012936543842986654588970159552e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8436254565092463027187335209743
y2[1] (numeric) = 1.8436254565092463027187335209743
absolute error = 0
relative error = 0 %
Correct digits = 64
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=162.20
x[1] = 1.005
y1[1] (analytic) = 1.5360882147099708474818756467225
y1[1] (numeric) = 1.5360882147099708474818756467225
absolute error = 3e-63
relative error = 1.9530128356374576167013628995357e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8441619667155564266127278769249
y2[1] (numeric) = 1.8441619667155564266127278769249
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.006
y1[1] (analytic) = 1.5352437848398639271626173757064
y1[1] (numeric) = 1.5352437848398639271626173757064
absolute error = 2e-63
relative error = 1.3027247006302736588164641073950e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8446976327599701817785103555399
y2[1] (numeric) = 1.8446976327599701817785103555399
absolute error = 1e-63
relative error = 5.4209426100028978945776764123145e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2689.4MB, alloc=4.6MB, time=162.43
TOP MAIN SOLVE Loop
x[1] = 1.007
y1[1] (analytic) = 1.5343988197260167706266818091356
y1[1] (numeric) = 1.5343988197260167706266818091356
absolute error = 2e-63
relative error = 1.3034420870821063798262392667327e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8452324541068215684411613375549
y2[1] (numeric) = 1.8452324541068215684411613375549
absolute error = 0
relative error = 0 %
Correct digits = 64
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=162.66
x[1] = 1.008
y1[1] (analytic) = 1.5335533202133944213074683428077
y1[1] (numeric) = 1.5335533202133944213074683428077
absolute error = 1e-63
relative error = 6.5208035926709720734602937682424e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8457664302212892843177382456532
y2[1] (numeric) = 1.8457664302212892843177382456532
absolute error = 0
relative error = 0 %
Correct digits = 64
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=162.89
x[1] = 1.009
y1[1] (analytic) = 1.532707287147496321369035926017
y1[1] (numeric) = 1.532707287147496321369035926017
absolute error = 1e-63
relative error = 6.5244029853938278826263938508845e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8462995605693972594385332589671
y2[1] (numeric) = 1.8462995605693972594385332589671
absolute error = 0
relative error = 0 %
Correct digits = 64
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=163.13
x[1] = 1.01
y1[1] (analytic) = 1.5318607213743554662067313557792
y1[1] (numeric) = 1.5318607213743554662067313557792
absolute error = 1e-63
relative error = 6.5280086240661590069820389086925e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.846831844618015190123098784782
y2[1] (numeric) = 1.846831844618015190123098784782
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.011
y1[1] (analytic) = 1.5310136237405375584142643842326
y1[1] (numeric) = 1.5310136237405375584142643842326
absolute error = 1e-63
relative error = 6.5316205192010167294392319118093e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8473632818348590721105067114598
y2[1] (numeric) = 1.8473632818348590721105067114598
absolute error = 0
relative error = 0 %
Correct digits = 64
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=163.35
x[1] = 1.012
y1[1] (analytic) = 1.5301659950931401612180756720674
y1[1] (numeric) = 1.5301659950931401612180756720674
absolute error = 2e-63
relative error = 1.3070477362675030319990374083702e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8478938716884917328433083123683
y2[1] (numeric) = 1.8478938716884917328433083123683
absolute error = 0
relative error = 0 %
Correct digits = 64
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=163.59
x[1] = 1.013
y1[1] (analytic) = 1.5293178362797918513798441535465
y1[1] (numeric) = 1.5293178362797918513798441535465
absolute error = 1e-63
relative error = 6.5388631210409026979036553001231e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8484236136483233629046625169003
y2[1] (numeric) = 1.8484236136483233629046625169003
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2712.3MB, alloc=4.6MB, time=163.82
x[1] = 1.014
y1[1] (analytic) = 1.5284691481486513715679809105391
y1[1] (numeric) = 1.5284691481486513715679809105391
absolute error = 1e-63
relative error = 6.5424938489026337323791013390313e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8489525071846120466081011114986
y2[1] (numeric) = 1.8489525071846120466081011114986
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.015
y1[1] (analytic) = 1.527619931548406782198957184002
y1[1] (numeric) = 1.527619931548406782198957184002
absolute error = 1e-63
relative error = 6.5461308755404405827247777013063e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8494805517684642917394002809662
y2[1] (numeric) = 1.8494805517684642917394002809662
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
memory used=2716.1MB, alloc=4.6MB, time=164.05
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.016
y1[1] (analytic) = 1.5267701873282746127493146815114
y1[1] (numeric) = 1.5267701873282746127493146815114
absolute error = 1e-63
relative error = 6.5497742115984056787795303594338e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.850007746871835558450028748234
y2[1] (numeric) = 1.850007746871835558450028748234
absolute error = 0
relative error = 0 %
Correct digits = 64
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=164.28
x[1] = 1.017
y1[1] (analytic) = 1.5259199163379990125392068687629
y1[1] (numeric) = 1.5259199163379990125392068687629
absolute error = 2e-63
relative error = 1.3106847735494067965163949907517e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8505340919675307873016436191816
y2[1] (numeric) = 1.8505340919675307873016436191816
absolute error = 0
relative error = 0 %
Correct digits = 64
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=164.51
x[1] = 1.018
y1[1] (analytic) = 1.5250691194278509009883204614282
y1[1] (numeric) = 1.5250691194278509009883204614282
absolute error = 1e-63
relative error = 6.5570798546833256521545065244550e-62 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8510595865292049264611058880601
y2[1] (numeric) = 1.8510595865292049264611058880601
absolute error = 1e-63
relative error = 5.4023112344807414970144634924221e-62 %
Correct digits = 64
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=164.74
x[1] = 1.019
y1[1] (analytic) = 1.5242177974486271173450268613758
y1[1] (numeric) = 1.5242177974486271173450268613758
absolute error = 2e-63
relative error = 1.3121484366261697896626893825482e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8515842300313634580454884085451
y2[1] (numeric) = 1.8515842300313634580454884085451
absolute error = 1e-63
relative error = 5.4007804980228271048935046661625e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.02
y1[1] (analytic) = 1.5233659512516495698896138080338
y1[1] (numeric) = 1.5233659512516495698896138080338
absolute error = 2e-63
relative error = 1.3128821727679626770830986927370e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8521080219493629236165499854554
y2[1] (numeric) = 1.8521080219493629236165499854554
absolute error = 1e-63
relative error = 5.3992531113141533556897443897639e-62 %
Correct digits = 64
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=164.97
x[1] = 1.021
y1[1] (analytic) = 1.5225135816887643846124480415924
y1[1] (numeric) = 1.5225135816887643846124480415924
absolute error = 2e-63
relative error = 1.3136171815174286253909020581315e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8526309617594114488241500927072
y2[1] (numeric) = 1.8526309617594114488241500927072
absolute error = 0
relative error = 0 %
Correct digits = 64
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=165.20
x[1] = 1.022
y1[1] (analytic) = 1.5216606896123410533679202998119
y1[1] (numeric) = 1.5216606896123410533679202998119
absolute error = 3e-63
relative error = 1.9715301975529651880779797762707e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8531530489385692671980795741338
y2[1] (numeric) = 1.8531530489385692671980795741338
absolute error = 1e-63
relative error = 5.3962083734679666140915683670384e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2739.0MB, alloc=4.6MB, time=165.44
x[1] = 1.023
y1[1] (analytic) = 1.5208072758752715815050244944202
y1[1] (numeric) = 1.5208072758752715815050244944202
absolute error = 3e-63
relative error = 1.9726365382315831553655906183609e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8536742829647492430877835353817
y2[1] (numeric) = 1.8536742829647492430877835353817
absolute error = 1e-63
relative error = 5.3946910155143836246469713349977e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.024
y1[1] (analytic) = 1.5199533413309696349754234364508
y1[1] (numeric) = 1.5199533413309696349754234364508
memory used=2742.8MB, alloc=4.6MB, time=165.66
absolute error = 3e-63
relative error = 1.9737447975692501239838152792933e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.854194663316717393749453487206
y2[1] (numeric) = 1.854194663316717393749453487206
absolute error = 1e-63
relative error = 5.3931769936778677042998440309201e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.025
y1[1] (analytic) = 1.5190988868333696869198540023831
y1[1] (numeric) = 1.5190988868333696869198540023831
absolute error = 3e-63
relative error = 1.9748549788313225875008809610078e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8547141894740934105799666531149
y2[1] (numeric) = 1.8547141894740934105799666531149
absolute error = 1e-63
relative error = 5.3916663045725189806892285670543e-62 %
Correct digits = 64
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=165.89
x[1] = 1.026
y1[1] (analytic) = 1.5182439132369261637337251546087
y1[1] (numeric) = 1.5182439132369261637337251546087
absolute error = 3e-63
relative error = 1.9759670852912826391274495508588e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8552328609173511794971512074687
y2[1] (numeric) = 1.8552328609173511794971512074687
absolute error = 1e-63
relative error = 5.3901589448212615931625400950364e-62 %
Correct digits = 64
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=166.12
x[1] = 1.027
y1[1] (analytic) = 1.5173884213966125906127627505561
y1[1] (numeric) = 1.5173884213966125906127627505561
absolute error = 4e-63
relative error = 2.6361081603076805826007596245974e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8557506771278193004658570638093
y2[1] (numeric) = 1.8557506771278193004658570638093
absolute error = 1e-63
relative error = 5.3886549110558270855567840734550e-62 %
Correct digits = 64
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=166.35
x[1] = 1.028
y1[1] (analytic) = 1.5165324121679207365795555947563
y1[1] (numeric) = 1.5165324121679207365795555947563
absolute error = 4e-63
relative error = 2.6375961159194089927670058525337e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8562676375876816061693126873962
y2[1] (numeric) = 1.8562676375876816061693126873962
absolute error = 1e-63
relative error = 5.3871541999167378508313523318388e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.029
y1[1] (analytic) = 1.5156758864068597589918577072318
y1[1] (numeric) = 1.5156758864068597589918577072318
absolute error = 4e-63
relative error = 2.6390866516208873966098692755789e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8567837417799776798252492606312
y2[1] (numeric) = 1.8567837417799776798252492606312
absolute error = 1e-63
relative error = 5.3856568080532906274083625602269e-62 %
Correct digits = 64
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=166.58
x[1] = 1.03
y1[1] (analytic) = 1.5148188449699553475335022998374
y1[1] (numeric) = 1.5148188449699553475335022998374
absolute error = 4e-63
relative error = 2.6405797718203956602839909776576e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8572989891886033721462743852944
y2[1] (numeric) = 1.8572989891886033721462743852944
absolute error = 1e-63
relative error = 5.3841627321235400470770420112352e-62 %
Correct digits = 64
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=166.82
x[1] = 1.031
y1[1] (analytic) = 1.5139612887142488676887834695646
y1[1] (numeric) = 1.5139612887142488676887834695646
absolute error = 4e-63
relative error = 2.6420754809371985602529540461895e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8578133792983113174439783612591
y2[1] (numeric) = 1.8578133792983113174439783612591
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2765.7MB, alloc=4.6MB, time=167.05
x[1] = 1.032
y1[1] (analytic) = 1.5131032184972965037011621343598
y1[1] (numeric) = 1.5131032184972965037011621343598
absolute error = 4e-63
relative error = 2.6435737834015762434511872494983e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8583269115947114488762569376219
y2[1] (numeric) = 1.8583269115947114488762569376219
absolute error = 1e-63
relative error = 5.3811845147410384569132892520439e-62 %
Correct digits = 64
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=167.28
x[1] = 1.033
y1[1] (analytic) = 1.5122446351771684010171532526755
y1[1] (numeric) = 1.5122446351771684010171532526755
absolute error = 4e-63
relative error = 2.6450746836548547898970836200668e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.85883958556427151283733528897
y2[1] (numeric) = 1.85883958556427151283733528897
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.034
y1[1] (analytic) = 1.5113855396124478082162518827991
y1[1] (numeric) = 1.5113855396124478082162518827991
absolute error = 4e-63
relative error = 2.6465781861494368781437930033130e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8593514006943175824899788268026
y2[1] (numeric) = 1.8593514006943175824899788268026
absolute error = 1e-63
relative error = 5.3782195212082060571951633029248e-62 %
Correct digits = 64
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=167.51
x[1] = 1.035
y1[1] (analytic) = 1.5105259326622302184277561519591
y1[1] (numeric) = 1.5105259326622302184277561519591
absolute error = 4e-63
relative error = 2.6480842953488325539558045028695e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8598623564730345704393773139402
y2[1] (numeric) = 1.8598623564730345704393773139402
absolute error = 0
relative error = 0 %
Correct digits = 64
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=167.74
x[1] = 1.036
y1[1] (analytic) = 1.5096658151861225102353457183157
y1[1] (numeric) = 1.5096658151861225102353457183157
absolute error = 4e-63
relative error = 2.6495930157276901026010994824515e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8603724523894667405481896080782
y2[1] (numeric) = 1.8603724523894667405481896080782
absolute error = 0
relative error = 0 %
Correct digits = 64
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=167.97
x[1] = 1.037
y1[1] (analytic) = 1.5088051880442420880702748211855
y1[1] (numeric) = 1.5088051880442420880702748211855
absolute error = 5e-63
relative error = 3.3138804397147837814379105155288e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8608816879335182188922372194854
y2[1] (numeric) = 1.8608816879335182188922372194854
absolute error = 1e-63
relative error = 5.3737967678669852010704164814660e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.038
y1[1] (analytic) = 1.5079440520972160220940395262352
y1[1] (numeric) = 1.5079440520972160220940395262352
absolute error = 5e-63
relative error = 3.3157728849728263989701817718296e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8613900625959535038563357271943
y2[1] (numeric) = 1.8613900625959535038563357271943
absolute error = 1e-63
relative error = 5.3723291001423331166903057387323e-62 %
Correct digits = 64
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=168.20
x[1] = 1.039
y1[1] (analytic) = 1.5070824082061801875713792829054
y1[1] (numeric) = 1.5070824082061801875713792829054
absolute error = 5e-63
relative error = 3.3176686110690520803094036648450e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.861897575868397975369753957895
y2[1] (numeric) = 1.861897575868397975369753957895
absolute error = 1e-63
relative error = 5.3708647186652853083640882062882e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2788.6MB, alloc=4.6MB, time=168.42
x[1] = 1.04
y1[1] (analytic) = 1.5062202572327784037344734209922
y1[1] (numeric) = 1.5062202572327784037344734209922
absolute error = 6e-63
relative error = 3.9834811483834210689233481643372e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8624042272433384032807916921162
y2[1] (numeric) = 1.8624042272433384032807916921162
absolute error = 1e-63
relative error = 5.3694036201805817188446247790653e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2792.4MB, alloc=4.6MB, time=168.65
x[1] = 1.041
y1[1] (analytic) = 1.5053576000391615721391937221164
y1[1] (numeric) = 1.5053576000391615721391937221164
absolute error = 5e-63
relative error = 3.3214699283877306068613074273467e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8629100162141234548699675231574
y2[1] (numeric) = 1.8629100162141234548699675231574
absolute error = 1e-63
relative error = 5.3679458014415425739171076589785e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2796.2MB, alloc=4.6MB, time=168.89
x[1] = 1.042
y1[1] (analytic) = 1.5044944374879868145142747097584
y1[1] (numeric) = 1.5044944374879868145142747097584
absolute error = 5e-63
relative error = 3.3233755309513560941245018136618e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.863414942274964201501309355628
y2[1] (numeric) = 1.863414942274964201501309355628
absolute error = 1e-63
relative error = 5.3664912592100525380715508599605e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.043
y1[1] (analytic) = 1.5036307704424166101042638086145
y1[1] (numeric) = 1.5036307704424166101042638086145
absolute error = 5e-63
relative error = 3.3252844370355888179478061131177e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8639190049209346244112408923424
y2[1] (numeric) = 1.8639190049209346244112408923424
absolute error = 1e-63
relative error = 5.3650399902565449199217463998703e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2800.0MB, alloc=4.6MB, time=169.12
x[1] = 1.044
y1[1] (analytic) = 1.5027665997661179325071140302535
y1[1] (numeric) = 1.5027665997661179325071140302535
absolute error = 5e-63
relative error = 3.3271966523465264878832245564849e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8644222036479721196345583207306
y2[1] (numeric) = 1.8644222036479721196345583207306
absolute error = 1e-63
relative error = 5.3635919913599859272344914784295e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2803.8MB, alloc=4.6MB, time=169.35
x[1] = 1.045
y1[1] (analytic) = 1.5019019263232613860072823474097
y1[1] (numeric) = 1.5019019263232613860072823474097
absolute error = 5e-63
relative error = 3.3291121826045428359598006411184e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8649245379528780020669922728253
y2[1] (numeric) = 1.8649245379528780020669922728253
absolute error = 1e-63
relative error = 5.3621472593078589714333996176477e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2807.6MB, alloc=4.6MB, time=169.58
x[1] = 1.046
y1[1] (analytic) = 1.5010367509785203414051974237396
y1[1] (numeric) = 1.5010367509785203414051974237396
absolute error = 5e-63
relative error = 3.3310310335443275295057879122703e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8654260073333180086638509963099
y2[1] (numeric) = 1.8654260073333180086638509963099
absolute error = 1e-63
relative error = 5.3607057908961490214421145856208e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.047
y1[1] (analytic) = 1.500171074597070071343960869506
y1[1] (numeric) = 1.500171074597070071343960869506
absolute error = 4e-63
relative error = 2.6663625687319409751919754949327e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8659266112878228007742415380223
y2[1] (numeric) = 1.8659266112878228007742415380223
absolute error = 1e-63
relative error = 5.3592675829293270067322499441680e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2811.4MB, alloc=4.6MB, time=169.81
x[1] = 1.048
y1[1] (analytic) = 1.4993048980445868851341466964129
y1[1] (numeric) = 1.4993048980445868851341466964129
absolute error = 5e-63
relative error = 3.3348787204797807213951073938663e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8664263493157884656103666057382
y2[1] (numeric) = 1.8664263493157884656103666057382
absolute error = 2e-63
relative error = 1.0715665264440668538883758526948e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2815.3MB, alloc=4.6MB, time=170.04
x[1] = 1.049
y1[1] (analytic) = 1.4984382221872472630775641467215
y1[1] (numeric) = 1.4984382221872472630775641467215
absolute error = 5e-63
relative error = 3.3368075680167693396387195008852e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8669252209174770168513956389767
y2[1] (numeric) = 1.8669252209174770168513956389767
absolute error = 1e-63
relative error = 5.3564009355905670654309024406924e-62 %
Correct digits = 64
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=170.27
x[1] = 1.05
y1[1] (analytic) = 1.4975710478917269902908495728121
y1[1] (numeric) = 1.4975710478917269902908495728121
absolute error = 5e-63
relative error = 3.3387397593182473185585991325710e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8674232255940168943814094850003
y2[1] (numeric) = 1.8674232255940168943814094850003
absolute error = 2e-63
relative error = 1.0709944979739722228280224304499e-61 %
Correct digits = 64
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=170.50
x[1] = 1.051
y1[1] (analytic) = 1.4967033760252002900297535435273
y1[1] (numeric) = 1.4967033760252002900297535435273
absolute error = 5e-63
relative error = 3.3406753001910874379827353400670e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8679203628474034631609189421053
y2[1] (numeric) = 1.8679203628474034631609189421053
absolute error = 1e-63
relative error = 5.3535472918964761971212812692384e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.052
y1[1] (analytic) = 1.4958352074553389565149898529376
y1[1] (numeric) = 1.4958352074553389565149898529376
absolute error = 5e-63
relative error = 3.3426141964567207434055304222116e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8684166321804995112314582987262
y2[1] (numeric) = 1.8684166321804995112314582987262
absolute error = 1e-63
relative error = 5.3521253385170808051060870796766e-62 %
Correct digits = 64
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=170.73
x[1] = 1.053
y1[1] (analytic) = 1.4949665430503114872605136056084
y1[1] (numeric) = 1.4949665430503114872605136056084
absolute error = 5e-63
relative error = 3.3445564539511774147944706063440e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8689120330970357468527558638018
y2[1] (numeric) = 1.8689120330970357468527558638018
absolute error = 1e-63
relative error = 5.3507066265867368334821813982896e-62 %
Correct digits = 64
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=170.96
x[1] = 1.054
y1[1] (analytic) = 1.4940973836787822149050960500167
y1[1] (numeric) = 1.4940973836787822149050960500167
absolute error = 5e-63
relative error = 3.3465020785251277740536716422648e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8694065651016112947719843512738
y2[1] (numeric) = 1.8694065651016112947719843512738
absolute error = 1e-63
relative error = 5.3492911529688843260452071116989e-62 %
Correct digits = 64
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=171.19
x[1] = 1.055
y1[1] (analytic) = 1.4932277302099104385480643284723
y1[1] (numeric) = 1.4932277302099104385480643284723
absolute error = 6e-63
relative error = 4.0181412912527081180075985876352e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8699002276996941916245948495095
y2[1] (numeric) = 1.8699002276996941916245948495095
absolute error = 1e-63
relative error = 5.3478789145353262668960514121292e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.056
y1[1] (analytic) = 1.4923575835133495545900748077295
y1[1] (numeric) = 1.4923575835133495545900748077295
absolute error = 5e-63
relative error = 3.3504034523876385730937494960987e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8703930203976218804662389748547
y2[1] (numeric) = 1.8703930203976218804662389748547
absolute error = 1e-63
relative error = 5.3464699081662134203531139237481e-62 %
Correct digits = 64
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=171.42
x[1] = 1.057
y1[1] (analytic) = 1.491486944459246187079789149445
y1[1] (numeric) = 1.491486944459246187079789149445
absolute error = 5e-63
relative error = 3.3523592134511113853241856437613e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8708849427026017044352846774374
y2[1] (numeric) = 1.8708849427026017044352846774374
absolute error = 1e-63
relative error = 5.3450641307500292187498541301642e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2842.0MB, alloc=4.6MB, time=171.65
x[1] = 1.058
y1[1] (analytic) = 1.4906158139182393175673227737323
y1[1] (numeric) = 1.4906158139182393175673227737323
absolute error = 5e-63
relative error = 3.3543183651439856243405146506071e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8713759941227113995454320367466
y2[1] (numeric) = 1.8713759941227113995454320367466
absolute error = 1e-63
relative error = 5.3436615791835746979883669770803e-62 %
Correct digits = 64
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=171.88
x[1] = 1.059
y1[1] (analytic) = 1.4897441927614594144653358622922
y1[1] (numeric) = 1.4897441927614594144653358622922
absolute error = 5e-63
relative error = 3.3562809133907523238112379964653e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8718661741668995866079362544109
y2[1] (numeric) = 1.8718661741668995866079362544109
absolute error = 1e-63
relative error = 5.3422622503719534807202182582335e-62 %
Correct digits = 64
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=172.11
x[1] = 1.06
y1[1] (analytic) = 1.4888720818605275619186375399564
y1[1] (numeric) = 1.4888720818605275619186375399564
absolute error = 4e-63
relative error = 2.6865974913046333165480962993801e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8723554823449862622829459219974
y2[1] (numeric) = 1.8723554823449862622829459219974
absolute error = 1e-63
relative error = 5.3408661412285568070262524031185e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.061
y1[1] (analytic) = 1.4879994820875545881831743649656
y1[1] (numeric) = 1.4879994820875545881831743649656
absolute error = 4e-63
relative error = 2.6881729786547318985483005538367e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8728439181676632892594655125299
y2[1] (numeric) = 1.8728439181676632892594655125299
absolute error = 1e-63
relative error = 5.3394732486750486124675645791277e-62 %
Correct digits = 64
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=172.34
x[1] = 1.062
y1[1] (analytic) = 1.4871263943151401935152747489234
y1[1] (numeric) = 1.4871263943151401935152747489234
absolute error = 4e-63
relative error = 2.6897511975383252374040173123373e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8733314811464948855634519158083
y2[1] (numeric) = 1.8733314811464948855634519158083
absolute error = 1e-63
relative error = 5.3380835696413506533803066061480e-62 %
Correct digits = 64
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=172.57
x[1] = 1.063
y1[1] (analytic) = 1.486252819416372077572021417107
y1[1] (numeric) = 1.486252819416372077572021417107
absolute error = 4e-63
relative error = 2.6913321527428533948005768278262e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8738181707939181129935557094709
y2[1] (numeric) = 1.8738181707939181129935557094709
absolute error = 1e-63
relative error = 5.3366971010656276792874720658113e-62 %
Correct digits = 64
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=172.81
x[1] = 1.064
y1[1] (analytic) = 1.4853787582648250663236245086903
y1[1] (numeric) = 1.4853787582648250663236245086903
absolute error = 4e-63
relative error = 2.6929158490678028005478448590222e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8743039866232433646840187301006
y2[1] (numeric) = 1.8743039866232433646840187301006
absolute error = 1e-63
relative error = 5.3353138398942726523012801779285e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.065
y1[1] (analytic) = 1.4845042117345602384786684044334
y1[1] (numeric) = 1.4845042117345602384786684044334
absolute error = 4e-63
relative error = 2.6945022913247403070540567919154e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8747889281486548517942403815169
y2[1] (numeric) = 1.8747889281486548517942403815169
absolute error = 1e-63
relative error = 5.3339337830818920133902505205593e-62 %
Correct digits = 64
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=173.04
x[1] = 1.066
y1[1] (analytic) = 1.4836291807001240514231058565195
y1[1] (numeric) = 1.4836291807001240514231058565195
absolute error = 4e-63
relative error = 2.6960914843373473599234555490751e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.875272994885211089324525990729
y2[1] (numeric) = 1.875272994885211089324525990729
absolute error = 1e-63
relative error = 5.3325569275912909953855314950553e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2868.7MB, alloc=4.6MB, time=173.26
x[1] = 1.067
y1[1] (analytic) = 1.4827536660365474666738734814705
y1[1] (numeric) = 1.4827536660365474666738734814705
absolute error = 4e-63
relative error = 2.6976834329414542851232522885311e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8757561863488453810575313958413
y2[1] (numeric) = 1.8757561863488453810575313958413
absolute error = 2e-63
relative error = 1.0662366540786917965203029181187e-61 %
Correct digits = 64
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=173.50
x[1] = 1.068
y1[1] (analytic) = 1.4818776686193450748480031624552
y1[1] (numeric) = 1.4818776686193450748480031624552
absolute error = 4e-63
relative error = 2.6992781419850746931673681221270e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8762385020563663036249188245075
y2[1] (numeric) = 1.8762385020563663036249188245075
absolute error = 2e-63
relative error = 1.0659625616935109833892467983017e-61 %
Correct digits = 64
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=173.73
x[1] = 1.069
y1[1] (analytic) = 1.4810011893245142201481043918041
y1[1] (numeric) = 1.4810011893245142201481043918041
absolute error = 4e-63
relative error = 2.7008756163284400007663636580914e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.876719941525458189698739996318
y2[1] (numeric) = 1.876719941525458189698739996318
absolute error = 2e-63
relative error = 1.0656891077601785500795033804813e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.07
y1[1] (analytic) = 1.4801242290285341243650930681759
y1[1] (numeric) = 1.4801242290285341243650930681759
absolute error = 4e-63
relative error = 2.7024758608440340703949211437902e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8772005042746816103070632577768
y2[1] (numeric) = 1.8772005042746816103070632577768
absolute error = 2e-63
relative error = 1.0654162916777853887442628295683e-61 %
Correct digits = 64
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=173.96
x[1] = 1.071
y1[1] (analytic) = 1.4792467886083650103990427455749
y1[1] (numeric) = 1.4792467886083650103990427455749
absolute error = 5e-63
relative error = 3.3800986005207849602877642527360e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8776801898234738562733624342827
y2[1] (numeric) = 1.8776801898234738562733624342827
absolute error = 2e-63
relative error = 1.0651441128470476022618206284969e-61 %
Correct digits = 64
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=174.19
x[1] = 1.072
y1[1] (analytic) = 1.478368868941447225299034813293
y1[1] (numeric) = 1.478368868941447225299034813293
absolute error = 5e-63
relative error = 3.3821058499291435511455683371280e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8781589976921494187791859597637
y2[1] (numeric) = 1.8781589976921494187791859597637
absolute error = 2e-63
relative error = 1.0648725706703036224023432462716e-61 %
Correct digits = 64
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=174.42
x[1] = 1.073
y1[1] (analytic) = 1.4774904709057003628228845668551
y1[1] (numeric) = 1.4774904709057003628228845668551
absolute error = 5e-63
relative error = 3.3841165804169311395162136304998e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8786369274019004690496257213381
y2[1] (numeric) = 1.8786369274019004690496257213381
absolute error = 2e-63
relative error = 1.0646016645515113371694813350124e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.074
y1[1] (analytic) = 1.4766115953795223855176206101673
y1[1] (numeric) = 1.4766115953795223855176206101673
absolute error = 5e-63
relative error = 3.3861307981364507447312639909798e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8791139784747973371611059335712
y2[1] (numeric) = 1.8791139784747973371611059335712
absolute error = 2e-63
relative error = 1.0643313938962452272924844418031e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2891.5MB, alloc=4.6MB, time=174.65
TOP MAIN SOLVE Loop
x[1] = 1.075
y1[1] (analytic) = 1.4757322432417887463215955083164
y1[1] (numeric) = 1.4757322432417887463215955083164
absolute error = 6e-63
relative error = 4.0657782111066476057980013875914e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8795901504337889899710132345797
y2[1] (numeric) = 1.8795901504337889899710132345797
absolute error = 2e-63
relative error = 1.0640617581116935118445624291458e-61 %
Correct digits = 64
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=174.88
x[1] = 1.076
y1[1] (analytic) = 1.4748524153718515096891060888357
y1[1] (numeric) = 1.4748524153718515096891060888357
absolute error = 5e-63
relative error = 3.3901697199576137057289676887950e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8800654428027035081686900743944
y2[1] (numeric) = 1.8800654428027035081686900743944
absolute error = 2e-63
relative error = 1.0637927566066553029633296844102e-61 %
Correct digits = 64
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=175.11
x[1] = 1.077
y1[1] (analytic) = 1.4739721126495384722384022667445
y1[1] (numeric) = 1.4739721126495384722384022667445
absolute error = 5e-63
relative error = 3.3921944364417114617824212790556e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8805398551062485624473143446251
y2[1] (numeric) = 1.8805398551062485624473143446251
absolute error = 2e-63
relative error = 1.0635243887915377696492587652395e-61 %
Correct digits = 64
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=175.34
x[1] = 1.078
y1[1] (analytic) = 1.4730913359551522829239637452787
y1[1] (numeric) = 1.4730913359551522829239637452787
absolute error = 6e-63
relative error = 4.0730671979070466580514997990479e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8810133868700118887961890775899
y2[1] (numeric) = 1.8810133868700118887961890775899
absolute error = 2e-63
relative error = 1.0632566540783533106181603758380e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.079
y1[1] (analytic) = 1.472210086169469562733924419963
y1[1] (numeric) = 1.472210086169469562733924419963
absolute error = 6e-63
relative error = 4.0755052939566166645005433470057e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8814860376204617629129669226588
y2[1] (numeric) = 1.8814860376204617629129669226588
absolute error = 2e-63
relative error = 1.0629895518807167361837964998118e-61 %
Correct digits = 64
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=175.57
x[1] = 1.08
y1[1] (analytic) = 1.471328364173740023913524788526
y1[1] (numeric) = 1.471328364173740023913524788526
absolute error = 6e-63
relative error = 4.0779476193741734208094350498456e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8819578068849474737353349876248
y2[1] (numeric) = 1.8819578068849474737353349876248
absolute error = 2e-63
relative error = 1.0627230816138424591468231301520e-61 %
Correct digits = 64
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=175.80
x[1] = 1.081
y1[1] (analytic) = 1.4704461708496855887154731431336
y1[1] (numeric) = 1.4704461708496855887154731431336
absolute error = 6e-63
relative error = 4.0803941816740886662672328201256e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8824286941916997960916865134587
y2[1] (numeric) = 1.8824286941916997960916865134587
absolute error = 2e-63
relative error = 1.0624572426945416946663483374087e-61 %
Correct digits = 64
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=176.03
x[1] = 1.082
y1[1] (analytic) = 1.4695635070794995076780967945048
y1[1] (numeric) = 1.4695635070794995076780967945048
absolute error = 6e-63
relative error = 4.0828449883897503678941246482737e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8828986990698314624703067318156
y2[1] (numeric) = 1.8828986990698314624703067318156
absolute error = 2e-63
relative error = 1.0621920345412196690904804045003e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.083
y1[1] (analytic) = 1.4686803737458454774321650496862
y1[1] (numeric) = 1.4686803737458454774321650496862
absolute error = 6e-63
relative error = 4.0853000470736170421586560857849e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8833678210493376339066011361452
y2[1] (numeric) = 1.8833678210493376339066011361452
absolute error = 2e-63
relative error = 1.0619274565738728377223294322761e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2918.3MB, alloc=4.6MB, time=176.26
TOP MAIN SOLVE Loop
x[1] = 1.084
y1[1] (analytic) = 1.4677967717318567580372661365885
y1[1] (numeric) = 1.4677967717318567580372661365885
absolute error = 6e-63
relative error = 4.0877593652972722633664014350398e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8838360596610963699878952792174
y2[1] (numeric) = 1.8838360596610963699878952792174
absolute error = 2e-63
relative error = 1.0616635082140861114980141852955e-61 %
Correct digits = 64
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=176.49
x[1] = 1.085
y1[1] (analytic) = 1.466912701921135289848620738834
y1[1] (numeric) = 1.466912701921135289848620738834
absolute error = 6e-63
relative error = 4.0902229506514793594429235224027e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8843034144368690979753360923033
y2[1] (numeric) = 1.8843034144368690979753360923033
absolute error = 2e-63
relative error = 1.0614001888850300925533140036286e-61 %
Correct digits = 64
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=176.73
x[1] = 1.086
y1[1] (analytic) = 1.4660281651977508099152152740286
y1[1] (numeric) = 1.4660281651977508099152152740286
absolute error = 6e-63
relative error = 4.0926908107462362958370398954250e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8847698849093010810424256041483
y2[1] (numeric) = 1.8847698849093010810424256041483
absolute error = 2e-63
relative error = 1.0611374980114583186556933552013e-61 %
Correct digits = 64
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=176.96
x[1] = 1.087
y1[1] (analytic) = 1.4651431624462399679101385172507
y1[1] (numeric) = 1.4651431624462399679101385172507
absolute error = 6e-63
relative error = 4.0951629532108307482736016787365e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8852354706119218856297188212437
y2[1] (numeric) = 1.8852354706119218856297188212437
absolute error = 2e-63
relative error = 1.0608754350197045164785140456255e-61 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.088
y1[1] (analytic) = 1.4642576945516054415940056393479
y1[1] (numeric) = 1.4642576945516054415940056393479
absolute error = 6e-63
relative error = 4.0976393856938953650881952292589e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8857001710791458479152184147362
y2[1] (numeric) = 1.8857001710791458479152184147362
absolute error = 2e-63
relative error = 1.0606139993376798636943372399218e-61 %
Correct digits = 64
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=177.19
x[1] = 1.089
y1[1] (analytic) = 1.4633717623993150518123541965422
y1[1] (numeric) = 1.4633717623993150518123541965422
absolute error = 6e-63
relative error = 4.1001201158634632198793962329229e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8861639858462725393999997436219
y2[1] (numeric) = 1.8861639858462725393999997436219
absolute error = 1e-63
relative error = 5.3017659519743512993215214219628e-62 %
Correct digits = 64
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=177.42
x[1] = 1.09
y1[1] (analytic) = 1.4624853668753008770278970738751
y1[1] (numeric) = 1.4624853668753008770278970738751
absolute error = 6e-63
relative error = 4.1026051514070234552174410657995e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.886626914449487231608600628636
y2[1] (numeric) = 1.886626914449487231608600628636
absolute error = 1e-63
relative error = 5.3004650381116680305033592422925e-62 %
Correct digits = 64
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=177.65
x[1] = 1.091
y1[1] (analytic) = 1.4615985088659583673885178501657
y1[1] (numeric) = 1.4615985088659583673885178501657
absolute error = 6e-63
relative error = 4.1050945000315771181514311866358e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8870889564258613599037111764894
y2[1] (numeric) = 1.8870889564258613599037111764894
absolute error = 1e-63
relative error = 5.2991672522634854673983156842871e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.092
y1[1] (analytic) = 1.4607111892581454583318945164118
y1[1] (numeric) = 1.4607111892581454583318945164118
absolute error = 6e-63
relative error = 4.1075881694636931882604531198823e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8875501113133529864146998397988
y2[1] (numeric) = 1.8875501113133529864146998397988
absolute error = 1e-63
relative error = 5.2978725916007725009094142676893e-62 %
Correct digits = 64
h = 0.001
memory used=2945.0MB, alloc=4.6MB, time=177.89
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.093
y1[1] (analytic) = 1.4598234089391816837276379429376
y1[1] (numeric) = 1.4598234089391816837276379429376
absolute error = 6e-63
relative error = 4.1100861674495647989972793135819e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8880103786508072620795127842255
y2[1] (numeric) = 1.8880103786508072620795127842255
absolute error = 1e-63
relative error = 5.2965810533023174866881461558417e-62 %
Correct digits = 64
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=178.11
x[1] = 1.094
y1[1] (analytic) = 1.4589351687968472885578319530748
y1[1] (numeric) = 1.4589351687968472885578319530748
absolute error = 7e-63
relative error = 4.7980199187142432619227162173778e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8884697579779568877994845209589
y2[1] (numeric) = 1.8884697579779568877994845209589
absolute error = 1e-63
relative error = 5.2952926345547148177726088786732e-62 %
Correct digits = 64
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=178.35
x[1] = 1.095
y1[1] (analytic) = 1.4580464697193823411368623227636
y1[1] (numeric) = 1.4580464697193823411368623227636
absolute error = 7e-63
relative error = 4.8009443768601077381070226143613e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.888928248835422574706598649776
y2[1] (numeric) = 1.888928248835422574706598649776
absolute error = 0
relative error = 0 %
Correct digits = 64
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=178.58
x[1] = 1.096
y1[1] (analytic) = 1.4571573125954858448714224861697
y1[1] (numeric) = 1.4571573125954858448714224861697
absolute error = 7e-63
relative error = 4.8038739122350580393044898567754e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8893858507647135035427384454507
y2[1] (numeric) = 1.8893858507647135035427384454507
absolute error = 1e-63
relative error = 5.2927251444973940137546024451533e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.097
y1[1] (analytic) = 1.4562676983143148495615841872392
y1[1] (numeric) = 1.4562676983143148495615841872392
absolute error = 6e-63
relative error = 4.1201216005444794250661381430697e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8898425633082277831504679083043
y2[1] (numeric) = 1.8898425633082277831504679083043
absolute error = 0
relative error = 0 %
Correct digits = 64
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=178.80
x[1] = 1.098
y1[1] (analytic) = 1.4553776277654835622438217760449
y1[1] (numeric) = 1.4553776277654835622438217760449
absolute error = 7e-63
relative error = 4.8097482512133029891390852369815e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8902983860092529080748847881513
y2[1] (numeric) = 1.8902983860092529080748847881513
absolute error = 0
relative error = 0 %
Correct digits = 64
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=179.04
x[1] = 1.099
y1[1] (analytic) = 1.4544871018390624575768793068267
y1[1] (numeric) = 1.4544871018390624575768793068267
absolute error = 7e-63
relative error = 4.8126930731452735808645050247833e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8907533184119662152760879798278
y2[1] (numeric) = 1.8907533184119662152760879798278
absolute error = 0
relative error = 0 %
Correct digits = 64
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=179.27
x[1] = 1.1
y1[1] (analytic) = 1.4535961214255773877713700517847
y1[1] (numeric) = 1.4535961214255773877713700517847
absolute error = 7e-63
relative error = 4.8156430089638160418603090054306e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8912073600614353399518025778717
y2[1] (numeric) = 1.8912073600614353399518025778717
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2971.7MB, alloc=4.6MB, time=179.50
x[1] = 1.101
y1[1] (analytic) = 1.4527046874160086920639985009513
y1[1] (numeric) = 1.4527046874160086920639985009513
absolute error = 7e-63
relative error = 4.8185980678917031126741744569122e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8916605105036186704697067677687
y2[1] (numeric) = 1.8916605105036186704697067677687
absolute error = 1e-63
relative error = 5.2863608160523951489564787989367e-62 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
x[1] = 1.102
y1[1] (analytic) = 1.4518128007017903057372953738456
y1[1] (numeric) = 1.4518128007017903057372953738456
absolute error = 7e-63
relative error = 4.8215582591752029980471674036394e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8921127692853658024090056214744
y2[1] (numeric) = 1.8921127692853658024090056214744
absolute error = 0
relative error = 0 %
Correct digits = 64
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=179.73
x[1] = 1.103
y1[1] (analytic) = 1.4509204621748088686857566231016
y1[1] (numeric) = 1.4509204621748088686857566231016
absolute error = 8e-63
relative error = 5.5137412480961682999507640036285e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8925641359544179917107977556764
y2[1] (numeric) = 1.8925641359544179917107977556764
absolute error = 0
relative error = 0 %
Correct digits = 64
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=179.96
x[1] = 1.104
y1[1] (analytic) = 1.4500276727274028335292778638564
y1[1] (numeric) = 1.4500276727274028335292778638564
absolute error = 8e-63
relative error = 5.5171360867565702411827069067113e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8930146100594086069367817024688
y2[1] (numeric) = 1.8930146100594086069367817024688
absolute error = 0
relative error = 0 %
Correct digits = 64
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=180.19
x[1] = 1.105
y1[1] (analytic) = 1.4491344332523615732747761153897
y1[1] (numeric) = 1.4491344332523615732747761153897
absolute error = 8e-63
relative error = 5.5205368228296240077468244875827e-61 %
Correct digits = 64
h = 0.001
y2[1] (analytic) = 1.8934641911498635806358497337686
y2[1] (numeric) = 1.8934641911498635806358497337686
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
Finished!
Maximum Time Reached before Solution Completed!
diff ( y1 , x , 1 ) = m1 * y2 + 1.0;
diff ( y2 , x , 1 ) = y1 - 1.0;
Iterations = 1006
Total Elapsed Time = 3 Minutes 0 Seconds
Elapsed Time(since restart) = 3 Minutes 0 Seconds
Expected Time Remaining = 26 Minutes 31 Seconds
Optimized Time Remaining = 26 Minutes 29 Seconds
Expected Total Time = 29 Minutes 29 Seconds
Time to Timeout Unknown
Percent Done = 10.17 %
> quit
memory used=2983.8MB, alloc=4.6MB, time=180.23