|\^/| Maple 12 (IBM INTEL LINUX)
._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
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> #BEGIN OUTFILE1
> # Begin Function number 3
> check_sign := proc( x0 ,xf)
> local ret;
> if (xf > x0) then # if number 1
> ret := 1.0;
> else
> ret := -1.0;
> fi;# end if 1;
> ret;;
> end;
check_sign := proc(x0, xf)
local ret;
if x0 < xf then ret := 1.0 else ret := -1.0 end if; ret
end proc
> # End Function number 3
> # Begin Function number 4
> est_size_answer := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_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,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8_g,
> array_tmp8_a1,
> array_tmp8_a2,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local min_size;
> min_size := glob_large_float;
> if (omniabs(array_y[1]) < min_size) then # if number 1
> min_size := omniabs(array_y[1]);
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> if (min_size < 1.0) then # if number 1
> min_size := 1.0;
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> min_size;
> end;
est_size_answer := proc()
local min_size;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_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_const_2D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1,
array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g,
array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10,
array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
min_size := glob_large_float;
if omniabs(array_y[1]) < min_size then
min_size := omniabs(array_y[1]);
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
if min_size < 1.0 then
min_size := 1.0;
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
min_size
end proc
> # End Function number 4
> # Begin Function number 5
> test_suggested_h := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_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,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8_g,
> array_tmp8_a1,
> array_tmp8_a2,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms;
> max_value3 := 0.0;
> no_terms := glob_max_terms;
> hn_div_ho := 0.5;
> hn_div_ho_2 := 0.25;
> hn_div_ho_3 := 0.125;
> omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,"");
> omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,"");
> omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,"");
> value3 := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3);
> if (value3 > max_value3) then # if number 1
> max_value3 := value3;
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> fi;# end if 1;
> omniout_float(ALWAYS,"max_value3",32,max_value3,32,"");
> max_value3;
> end;
test_suggested_h := proc()
local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_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_const_2D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1,
array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g,
array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10,
array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
max_value3 := 0.;
no_terms := glob_max_terms;
hn_div_ho := 0.5;
hn_div_ho_2 := 0.25;
hn_div_ho_3 := 0.125;
omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, "");
omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, "");
omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, "");
value3 := omniabs(array_y[no_terms - 3]
+ array_y[no_terms - 2]*hn_div_ho
+ array_y[no_terms - 1]*hn_div_ho_2
+ array_y[no_terms]*hn_div_ho_3);
if max_value3 < value3 then
max_value3 := value3;
omniout_float(ALWAYS, "value3", 32, value3, 32, "")
end if;
omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, "");
max_value3
end proc
> # End Function number 5
> # Begin Function number 6
> reached_interval := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_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,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8_g,
> array_tmp8_a1,
> array_tmp8_a2,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local ret;
> if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1
> ret := true;
> else
> ret := false;
> fi;# end if 1;
> return(ret);
> end;
reached_interval := proc()
local ret;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_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_const_2D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1,
array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g,
array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10,
array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then
ret := true
else ret := false
end if;
return ret
end proc
> # End Function number 6
> # Begin Function number 7
> display_alot := proc(iter)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_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,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8_g,
> array_tmp8_a1,
> array_tmp8_a2,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (reached_interval()) then # if number 1
> if (iter >= 0) then # if number 2
> ind_var := array_x[1];
> omniout_float(ALWAYS,"x[1] ",33,ind_var,20," ");
> analytic_val_y := exact_soln_y(ind_var);
> omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y[term_no];
> abserr := omniabs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," ");
> if (omniabs(analytic_val_y) <> 0.0) then # if number 3
> relerr := abserr*100.0/omniabs(analytic_val_y);
> if (relerr > 0.0000000000000000000000000000000001) then # if number 4
> glob_good_digits := -trunc(log10(relerr)) + 2;
> else
> glob_good_digits := Digits;
> fi;# end if 4;
> else
> relerr := -1.0 ;
> glob_good_digits := -1;
> fi;# end if 3;
> if (glob_iter = 1) then # if number 3
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 3;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ")
> ;
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> fi;# end if 2;
> #BOTTOM DISPLAY ALOT
> fi;# end if 1;
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_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_const_2D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1,
array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g,
array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10,
array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if reached_interval() then
if 0 <= iter then
ind_var := array_x[1];
omniout_float(ALWAYS, "x[1] ", 33,
ind_var, 20, " ");
analytic_val_y := exact_soln_y(ind_var);
omniout_float(ALWAYS, "y[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y[term_no];
abserr := omniabs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y[1] (numeric) ", 33,
numeric_val, 20, " ");
if omniabs(analytic_val_y) <> 0. then
relerr := abserr*100.0/omniabs(analytic_val_y);
if 0.1*10^(-33) < relerr then
glob_good_digits := -trunc(log10(relerr)) + 2
else glob_good_digits := Digits
end if
else relerr := -1.0; glob_good_digits := -1
end if;
if glob_iter = 1 then array_1st_rel_error[1] := relerr
else array_last_rel_error[1] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " ");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end if
end proc
> # End Function number 7
> # Begin Function number 8
> adjust_for_pole := proc(h_param)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_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,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8_g,
> array_tmp8_a1,
> array_tmp8_a2,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 1
> tmp := omniabs(array_y_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1;
> if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1
> sz2 := array_pole[1]/10.0;
> if (sz2 < hnew) then # if number 2
> omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity.");
> omniout_str(INFO,"Reached Optimal");
> return(hnew);
> fi;# end if 2
> fi;# end if 1;
> if ( not glob_reached_optimal_h) then # if number 1
> glob_reached_optimal_h := true;
> glob_curr_iter_when_opt := glob_current_iter;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> glob_optimal_start := array_x[1];
> fi;# end if 1;
> hnew := sz2;
> ;#END block
> return(hnew);
> #BOTTOM ADJUST FOR POLE
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_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_const_2D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1,
array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g,
array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10,
array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < omniabs(array_y_higher[1, 1]) then
tmp := omniabs(array_y_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and
array_pole[1] <> glob_large_float then
sz2 := array_pole[1]/10.0;
if sz2 < hnew then
omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity.");
omniout_str(INFO, "Reached Optimal");
return hnew
end if
end if;
if not glob_reached_optimal_h then
glob_reached_optimal_h := true;
glob_curr_iter_when_opt := glob_current_iter;
glob_optimal_clock_start_sec := elapsed_time_seconds();
glob_optimal_start := array_x[1]
end if;
hnew := sz2;
return hnew
end proc
> # End Function number 8
> # Begin Function number 9
> prog_report := proc(x_start,x_end)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_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,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8_g,
> array_tmp8_a1,
> array_tmp8_a2,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec;
> #TOP PROGRESS REPORT
> clock_sec1 := elapsed_time_seconds();
> total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
> glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
> left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1);
> expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec));
> opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec);
> glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec));
> glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
> percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h));
> glob_percent_done := percent_done;
> omniout_str_noeol(INFO,"Total Elapsed Time ");
> omniout_timestr(convfloat(total_clock_sec));
> omniout_str_noeol(INFO,"Elapsed Time(since restart) ");
> omniout_timestr(convfloat(glob_clock_sec));
> if (convfloat(percent_done) < convfloat(100.0)) then # if number 1
> omniout_str_noeol(INFO,"Expected Time Remaining ");
> omniout_timestr(convfloat(expect_sec));
> omniout_str_noeol(INFO,"Optimized Time Remaining ");
> omniout_timestr(convfloat(glob_optimal_expect_sec));
> omniout_str_noeol(INFO,"Expected Total Time ");
> omniout_timestr(convfloat(glob_total_exp_sec));
> fi;# end if 1;
> omniout_str_noeol(INFO,"Time to Timeout ");
> omniout_timestr(convfloat(left_sec));
> omniout_float(INFO, "Percent Done ",33,percent_done,4,"%");
> #BOTTOM PROGRESS REPORT
> end;
prog_report := proc(x_start, x_end)
local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec,
percent_done, total_clock_sec;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_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_const_2D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1,
array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g,
array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10,
array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
clock_sec1 := elapsed_time_seconds();
total_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
glob_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec)
- convfloat(clock_sec1);
expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h),
convfloat(clock_sec1) - convfloat(glob_orig_start_sec));
opt_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec);
glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),
convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h),
convfloat(opt_clock_sec));
glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
percent_done := comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h));
glob_percent_done := percent_done;
omniout_str_noeol(INFO, "Total Elapsed Time ");
omniout_timestr(convfloat(total_clock_sec));
omniout_str_noeol(INFO, "Elapsed Time(since restart) ");
omniout_timestr(convfloat(glob_clock_sec));
if convfloat(percent_done) < convfloat(100.0) then
omniout_str_noeol(INFO, "Expected Time Remaining ");
omniout_timestr(convfloat(expect_sec));
omniout_str_noeol(INFO, "Optimized Time Remaining ");
omniout_timestr(convfloat(glob_optimal_expect_sec));
omniout_str_noeol(INFO, "Expected Total Time ");
omniout_timestr(convfloat(glob_total_exp_sec))
end if;
omniout_str_noeol(INFO, "Time to Timeout ");
omniout_timestr(convfloat(left_sec));
omniout_float(INFO, "Percent Done ", 33,
percent_done, 4, "%")
end proc
> # End Function number 9
> # Begin Function number 10
> check_for_pole := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_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,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8_g,
> array_tmp8_a1,
> array_tmp8_a2,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local cnt, dr1, dr2, ds1, ds2, hdrc,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_y_higher[1,m]) < glob_small_float * glob_small_float) or (omniabs(array_y_higher[1,m-1]) < glob_small_float * glob_small_float) or (omniabs(array_y_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_y_higher[1,m]/array_y_higher[1,m-1];
> rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2];
> hdrc := convfloat(m)*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
> #TOP RADII COMPLEX EQ = 1
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 1 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (omniabs(array_y_higher[1,n]) > glob_small_float) then # if number 1
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 1;
> n := n - 1;
> od;# end do number 2;
> m := n + cnt;
> if (m <= 10) then # if number 1
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> elif
> (((omniabs(array_y_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_y_higher[1,m]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_y_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-5]) <= (glob_small_float)))) then # if number 2
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]);
> rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]);
> rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]);
> rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]);
> rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(dr1) <= glob_small_float)) then # if number 3
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4
> rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
> #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
> ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0;
> if (omniabs(rcs) > glob_small_float) then # if number 5
> if (rcs > 0.0) then # if number 6
> rad_c := sqrt(rcs) * omniabs(glob_h);
> else
> rad_c := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 4
> fi;# end if 3;
> array_complex_pole[1,1] := rad_c;
> array_complex_pole[1,2] := ord_no;
> fi;# end if 2;
> #BOTTOM RADII COMPLEX EQ = 1
> found_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 2
> 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 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> 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 2
> 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 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> 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 2
> 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 3
> omniout_str(ALWAYS,"NO POLE for equation 1");
> fi;# end if 3;
> fi;# end if 2;
> 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 2
> 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 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> 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 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> array_type_pole[1] := 2;
> found_sing := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing ) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE for equation 1");
> fi;# end if 3;
> fi;# end if 2;
> #BOTTOM WHICH RADII EQ = 1
> array_pole[1] := glob_large_float;
> array_pole[2] := glob_large_float;
> #TOP WHICH RADIUS EQ = 1
> if (array_pole[1] > array_poles[1,1]) then # if number 2
> array_pole[1] := array_poles[1,1];
> array_pole[2] := array_poles[1,2];
> fi;# end if 2;
> #BOTTOM WHICH RADIUS EQ = 1
> #START ADJUST ALL SERIES
> if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 2
> h_new := array_pole[1] * glob_ratio_of_radius;
> term := 1;
> ratio := 1.0;
> while (term <= glob_max_terms) do # do number 2
> array_y[term] := array_y[term]* ratio;
> array_y_higher[1,term] := array_y_higher[1,term]* ratio;
> array_x[term] := array_x[term]* ratio;
> ratio := ratio * h_new / omniabs(glob_h);
> term := term + 1;
> od;# end do number 2;
> glob_h := h_new;
> fi;# end if 2;
> #BOTTOM ADJUST ALL SERIES
> if (reached_interval()) then # if number 2
> display_pole();
> fi;# end if 2
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, 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_const_2D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1,
array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g,
array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10,
array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (
omniabs(array_y_higher[1, m]) < glob_small_float*glob_small_float or
omniabs(array_y_higher[1, m - 1]) < glob_small_float*glob_small_float
or
omniabs(array_y_higher[1, m - 2]) < glob_small_float*glob_small_float)
do m := m - 1
end do;
if 10 < m then
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
hdrc := convfloat(m)*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 - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < omniabs(array_y_higher[1, n]) then
cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then rad_c := glob_large_float; ord_no := glob_large_float
elif glob_large_float <= omniabs(array_y_higher[1, m]) or
glob_large_float <= omniabs(array_y_higher[1, m - 1]) or
glob_large_float <= omniabs(array_y_higher[1, m - 2]) or
glob_large_float <= omniabs(array_y_higher[1, m - 3]) or
glob_large_float <= omniabs(array_y_higher[1, m - 4]) or
glob_large_float <= omniabs(array_y_higher[1, m - 5]) or
omniabs(array_y_higher[1, m]) <= glob_small_float or
omniabs(array_y_higher[1, m - 1]) <= glob_small_float or
omniabs(array_y_higher[1, m - 2]) <= glob_small_float or
omniabs(array_y_higher[1, m - 3]) <= glob_small_float or
omniabs(array_y_higher[1, m - 4]) <= glob_small_float or
omniabs(array_y_higher[1, m - 5]) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3];
rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4];
rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or
omniabs(dr1) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
if glob_small_float < omniabs(nr1*dr2 - nr2*dr1) then
rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1);
ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0;
if glob_small_float < omniabs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*omniabs(glob_h)
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_pole[1, 1] := rad_c;
array_complex_pole[1, 2] := ord_no
end if;
found_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;
array_pole[1] := glob_large_float;
array_pole[2] := glob_large_float;
if array_poles[1, 1] < array_pole[1] then
array_pole[1] := array_poles[1, 1];
array_pole[2] := array_poles[1, 2]
end if;
if array_pole[1]*glob_ratio_of_radius < omniabs(glob_h) then
h_new := array_pole[1]*glob_ratio_of_radius;
term := 1;
ratio := 1.0;
while term <= glob_max_terms do
array_y[term] := array_y[term]*ratio;
array_y_higher[1, term] := array_y_higher[1, term]*ratio;
array_x[term] := array_x[term]*ratio;
ratio := ratio*h_new/omniabs(glob_h);
term := term + 1
end do;
glob_h := h_new
end if;
if reached_interval() then display_pole() end if
end proc
> # End Function number 10
> # Begin Function number 11
> get_norms := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_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,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8_g,
> array_tmp8_a1,
> array_tmp8_a2,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local iii;
> if ( not glob_initial_pass) then # if number 2
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> array_norms[iii] := 0.0;
> iii := iii + 1;
> od;# end do number 2;
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 3
> array_norms[iii] := omniabs(array_y[iii]);
> fi;# end if 3;
> iii := iii + 1;
> od;# end do number 2
> #BOTTOM GET NORMS
> ;
> fi;# end if 2;
> end;
get_norms := proc()
local iii;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_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_const_2D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1,
array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g,
array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10,
array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if not glob_initial_pass then
iii := 1;
while iii <= glob_max_terms do
array_norms[iii] := 0.; iii := iii + 1
end do;
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < omniabs(array_y[iii]) then
array_norms[iii] := omniabs(array_y[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # End Function number 11
> # Begin Function number 12
> atomall := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_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,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8_g,
> array_tmp8_a1,
> array_tmp8_a2,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local kkk, order_d, adj2, adj3 , temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 1
> array_tmp1[1] := array_const_2D0[1] * array_x[1];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 1
> array_tmp2[1] := array_tmp1[1] + array_const_1D0[1];
> #emit pre sqrt 1 $eq_no = 1
> array_tmp3[1] := sqrt(array_tmp2[1]);
> array_tmp4_a1[1] := sin(array_tmp3[1]);
> array_tmp4_a2[1] := cos(array_tmp3[1]);
> array_tmp4[1] := (array_tmp4_a1[1] / array_tmp4_a2[1]);
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 1
> array_tmp5[1] := array_const_2D0[1] * array_x[1];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 1
> array_tmp6[1] := array_tmp5[1] + array_const_1D0[1];
> #emit pre sqrt 1 $eq_no = 1
> array_tmp7[1] := sqrt(array_tmp6[1]);
> array_tmp8_a1[1] := sin(array_tmp7[1]);
> array_tmp8_a2[1] := cos(array_tmp7[1]);
> array_tmp8[1] := (array_tmp8_a1[1] / array_tmp8_a2[1]);
> # emit pre mult FULL FULL $eq_no = 1 i = 1
> array_tmp9[1] := (array_tmp4[1] * (array_tmp8[1]));
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp10[1] := array_const_1D0[1] + array_tmp9[1];
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 1
> array_tmp11[1] := array_const_2D0[1] * array_x[1];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 1
> array_tmp12[1] := array_tmp11[1] + array_const_1D0[1];
> #emit pre sqrt 1 $eq_no = 1
> array_tmp13[1] := sqrt(array_tmp12[1]);
> #emit pre div FULL - FULL $eq_no = 1 i = 1
> array_tmp14[1] := (array_tmp10[1] / (array_tmp13[1]));
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp15[1] := array_const_0D0[1] + array_tmp14[1];
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if ( not array_y_set_initial[1,2]) then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp15[1] * expt(glob_h , (1)) * factorial_3(0,1);
> array_y[2] := temporary;
> array_y_higher[1,2] := temporary;
> temporary := temporary / glob_h * (1.0);
> array_y_higher[2,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 2
> array_tmp1[2] := array_const_2D0[1] * array_x[2];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2];
> #emit pre sqrt 2 $eq_no = 1
> array_tmp3[2] := array_tmp2[2] / array_tmp3[1]/2.0;
> #emit pre tan $eq_no = 1
> array_tmp4_a1[2] := att(1,array_tmp4_a2,array_tmp3,1);
> array_tmp4_a2[2] := -att(1,array_tmp4_a1,array_tmp3,1);
> array_tmp4[2] := (array_tmp4_a1[2] - ats(2,array_tmp4_a2,array_tmp4,2)) / array_tmp4_a2[1];
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 2
> array_tmp5[2] := array_const_2D0[1] * array_x[2];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 2
> array_tmp6[2] := array_tmp5[2];
> #emit pre sqrt 2 $eq_no = 1
> array_tmp7[2] := array_tmp6[2] / array_tmp7[1]/2.0;
> #emit pre tan $eq_no = 1
> array_tmp8_a1[2] := att(1,array_tmp8_a2,array_tmp7,1);
> array_tmp8_a2[2] := -att(1,array_tmp8_a1,array_tmp7,1);
> array_tmp8[2] := (array_tmp8_a1[2] - ats(2,array_tmp8_a2,array_tmp8,2)) / array_tmp8_a2[1];
> # emit pre mult FULL FULL $eq_no = 1 i = 2
> array_tmp9[2] := ats(2,array_tmp4,array_tmp8,1);
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp10[2] := array_tmp9[2];
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 2
> array_tmp11[2] := array_const_2D0[1] * array_x[2];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 2
> array_tmp12[2] := array_tmp11[2];
> #emit pre sqrt 2 $eq_no = 1
> array_tmp13[2] := array_tmp12[2] / array_tmp13[1]/2.0;
> #emit pre div FULL - FULL $eq_no = 1 i = 2
> array_tmp14[2] := ((array_tmp10[2] - ats(2,array_tmp13,array_tmp14,2))/array_tmp13[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp15[2] := array_tmp14[2];
> #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if ( not array_y_set_initial[1,3]) then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp15[2] * expt(glob_h , (1)) * factorial_3(1,2);
> array_y[3] := temporary;
> array_y_higher[1,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> #emit pre sqrt ID_LINEAR iii = 3 $eq_no = 1
> array_tmp3[3] := 0.0;
> array_tmp3[3] := -ats(3,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0;
> #emit pre tan $eq_no = 1
> array_tmp4_a1[3] := att(2,array_tmp4_a2,array_tmp3,1);
> array_tmp4_a2[3] := -att(2,array_tmp4_a1,array_tmp3,1);
> array_tmp4[3] := (array_tmp4_a1[3] - ats(3,array_tmp4_a2,array_tmp4,2)) / array_tmp4_a2[1];
> #emit pre sqrt ID_LINEAR iii = 3 $eq_no = 1
> array_tmp7[3] := 0.0;
> array_tmp7[3] := -ats(3,array_tmp7,array_tmp7,2) / array_tmp7[1] / 2.0;
> #emit pre tan $eq_no = 1
> array_tmp8_a1[3] := att(2,array_tmp8_a2,array_tmp7,1);
> array_tmp8_a2[3] := -att(2,array_tmp8_a1,array_tmp7,1);
> array_tmp8[3] := (array_tmp8_a1[3] - ats(3,array_tmp8_a2,array_tmp8,2)) / array_tmp8_a2[1];
> # emit pre mult FULL FULL $eq_no = 1 i = 3
> array_tmp9[3] := ats(3,array_tmp4,array_tmp8,1);
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp10[3] := array_tmp9[3];
> #emit pre sqrt ID_LINEAR iii = 3 $eq_no = 1
> array_tmp13[3] := 0.0;
> array_tmp13[3] := -ats(3,array_tmp13,array_tmp13,2) / array_tmp13[1] / 2.0;
> #emit pre div FULL - FULL $eq_no = 1 i = 3
> array_tmp14[3] := ((array_tmp10[3] - ats(3,array_tmp13,array_tmp14,2))/array_tmp13[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp15[3] := array_tmp14[3];
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if ( not array_y_set_initial[1,4]) then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp15[3] * expt(glob_h , (1)) * factorial_3(2,3);
> array_y[4] := temporary;
> array_y_higher[1,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y_higher[2,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> #emit pre sqrt ID_LINEAR iii = 4 $eq_no = 1
> array_tmp3[4] := 0.0;
> array_tmp3[4] := -ats(4,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0;
> #emit pre tan $eq_no = 1
> array_tmp4_a1[4] := att(3,array_tmp4_a2,array_tmp3,1);
> array_tmp4_a2[4] := -att(3,array_tmp4_a1,array_tmp3,1);
> array_tmp4[4] := (array_tmp4_a1[4] - ats(4,array_tmp4_a2,array_tmp4,2)) / array_tmp4_a2[1];
> #emit pre sqrt ID_LINEAR iii = 4 $eq_no = 1
> array_tmp7[4] := 0.0;
> array_tmp7[4] := -ats(4,array_tmp7,array_tmp7,2) / array_tmp7[1] / 2.0;
> #emit pre tan $eq_no = 1
> array_tmp8_a1[4] := att(3,array_tmp8_a2,array_tmp7,1);
> array_tmp8_a2[4] := -att(3,array_tmp8_a1,array_tmp7,1);
> array_tmp8[4] := (array_tmp8_a1[4] - ats(4,array_tmp8_a2,array_tmp8,2)) / array_tmp8_a2[1];
> # emit pre mult FULL FULL $eq_no = 1 i = 4
> array_tmp9[4] := ats(4,array_tmp4,array_tmp8,1);
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp10[4] := array_tmp9[4];
> #emit pre sqrt ID_LINEAR iii = 4 $eq_no = 1
> array_tmp13[4] := 0.0;
> array_tmp13[4] := -ats(4,array_tmp13,array_tmp13,2) / array_tmp13[1] / 2.0;
> #emit pre div FULL - FULL $eq_no = 1 i = 4
> array_tmp14[4] := ((array_tmp10[4] - ats(4,array_tmp13,array_tmp14,2))/array_tmp13[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp15[4] := array_tmp14[4];
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if ( not array_y_set_initial[1,5]) then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp15[4] * expt(glob_h , (1)) * factorial_3(3,4);
> array_y[5] := temporary;
> array_y_higher[1,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y_higher[2,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> #emit pre sqrt ID_LINEAR iii = 5 $eq_no = 1
> array_tmp3[5] := 0.0;
> array_tmp3[5] := -ats(5,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0;
> #emit pre tan $eq_no = 1
> array_tmp4_a1[5] := att(4,array_tmp4_a2,array_tmp3,1);
> array_tmp4_a2[5] := -att(4,array_tmp4_a1,array_tmp3,1);
> array_tmp4[5] := (array_tmp4_a1[5] - ats(5,array_tmp4_a2,array_tmp4,2)) / array_tmp4_a2[1];
> #emit pre sqrt ID_LINEAR iii = 5 $eq_no = 1
> array_tmp7[5] := 0.0;
> array_tmp7[5] := -ats(5,array_tmp7,array_tmp7,2) / array_tmp7[1] / 2.0;
> #emit pre tan $eq_no = 1
> array_tmp8_a1[5] := att(4,array_tmp8_a2,array_tmp7,1);
> array_tmp8_a2[5] := -att(4,array_tmp8_a1,array_tmp7,1);
> array_tmp8[5] := (array_tmp8_a1[5] - ats(5,array_tmp8_a2,array_tmp8,2)) / array_tmp8_a2[1];
> # emit pre mult FULL FULL $eq_no = 1 i = 5
> array_tmp9[5] := ats(5,array_tmp4,array_tmp8,1);
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp10[5] := array_tmp9[5];
> #emit pre sqrt ID_LINEAR iii = 5 $eq_no = 1
> array_tmp13[5] := 0.0;
> array_tmp13[5] := -ats(5,array_tmp13,array_tmp13,2) / array_tmp13[1] / 2.0;
> #emit pre div FULL - FULL $eq_no = 1 i = 5
> array_tmp14[5] := ((array_tmp10[5] - ats(5,array_tmp13,array_tmp14,2))/array_tmp13[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp15[5] := array_tmp14[5];
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if ( not array_y_set_initial[1,6]) then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp15[5] * expt(glob_h , (1)) * factorial_3(4,5);
> array_y[6] := temporary;
> array_y_higher[1,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y_higher[2,5] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 6;
> #END ATOMHDR5
> #BEGIN OUTFILE3
> #Top Atomall While Loop-- outfile3
> while (kkk <= glob_max_terms) do # do number 1
> #END OUTFILE3
> #BEGIN OUTFILE4
> #emit sqrt LINEAR $eq_no = 1
> array_tmp3[kkk] := 0.0;
> array_tmp3[kkk] := -ats(kkk,array_tmp3,array_tmp3,2) /array_tmp3[1] / 2.0;
> array_tmp4_a1[kkk] := att(kkk-1 ,array_tmp4_a2,array_tmp3,1);
> array_tmp4_a2[kkk] := -att(kkk-1,array_tmp4_a1,array_tmp3,1);
> array_tmp4[kkk] := (array_tmp4_a1[kkk] - ats(kkk ,array_tmp4_a2,array_tmp4,2)) / array_tmp4_a2[1];
> #emit sqrt LINEAR $eq_no = 1
> array_tmp7[kkk] := 0.0;
> array_tmp7[kkk] := -ats(kkk,array_tmp7,array_tmp7,2) /array_tmp7[1] / 2.0;
> array_tmp8_a1[kkk] := att(kkk-1 ,array_tmp8_a2,array_tmp7,1);
> array_tmp8_a2[kkk] := -att(kkk-1,array_tmp8_a1,array_tmp7,1);
> array_tmp8[kkk] := (array_tmp8_a1[kkk] - ats(kkk ,array_tmp8_a2,array_tmp8,2)) / array_tmp8_a2[1];
> #emit mult FULL FULL $eq_no = 1
> array_tmp9[kkk] := ats(kkk,array_tmp4,array_tmp8,1);
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp10[kkk] := array_tmp9[kkk];
> #emit sqrt LINEAR $eq_no = 1
> array_tmp13[kkk] := 0.0;
> array_tmp13[kkk] := -ats(kkk,array_tmp13,array_tmp13,2) /array_tmp13[1] / 2.0;
> #emit div FULL FULL $eq_no = 1
> array_tmp14[kkk] := ((array_tmp10[kkk] - ats(kkk,array_tmp13,array_tmp14,2))/array_tmp13[1]);
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp15[kkk] := array_tmp14[kkk];
> #emit assign $eq_no = 1
> order_d := 1;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2
> temporary := array_tmp15[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1));
> array_y[kkk + order_d] := temporary;
> array_y_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := kkk + order_d - 1;
> adj3 := 2;
> while (term >= 1) do # do number 2
> if (adj3 <= order_d + 1) then # if number 3
> if (adj2 > 0) then # if number 4
> temporary := temporary / glob_h * convfp(adj2);
> else
> temporary := temporary;
> fi;# end if 4;
> array_y_higher[adj3,term] := temporary;
> fi;# end if 3;
> term := term - 1;
> adj2 := adj2 - 1;
> adj3 := adj3 + 1;
> od;# end do number 2
> fi;# end if 2
> fi;# end if 1;
> kkk := kkk + 1;
> od;# end do number 1;
> #BOTTOM ATOMALL
> #END OUTFILE4
> #BEGIN OUTFILE5
> #BOTTOM ATOMALL ???
> end;
atomall := proc()
local kkk, order_d, adj2, adj3, temporary, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_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_const_2D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1,
array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g,
array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10,
array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
array_tmp1[1] := array_const_2D0[1]*array_x[1];
array_tmp2[1] := array_tmp1[1] + array_const_1D0[1];
array_tmp3[1] := sqrt(array_tmp2[1]);
array_tmp4_a1[1] := sin(array_tmp3[1]);
array_tmp4_a2[1] := cos(array_tmp3[1]);
array_tmp4[1] := array_tmp4_a1[1]/array_tmp4_a2[1];
array_tmp5[1] := array_const_2D0[1]*array_x[1];
array_tmp6[1] := array_tmp5[1] + array_const_1D0[1];
array_tmp7[1] := sqrt(array_tmp6[1]);
array_tmp8_a1[1] := sin(array_tmp7[1]);
array_tmp8_a2[1] := cos(array_tmp7[1]);
array_tmp8[1] := array_tmp8_a1[1]/array_tmp8_a2[1];
array_tmp9[1] := array_tmp4[1]*array_tmp8[1];
array_tmp10[1] := array_const_1D0[1] + array_tmp9[1];
array_tmp11[1] := array_const_2D0[1]*array_x[1];
array_tmp12[1] := array_tmp11[1] + array_const_1D0[1];
array_tmp13[1] := sqrt(array_tmp12[1]);
array_tmp14[1] := array_tmp10[1]/array_tmp13[1];
array_tmp15[1] := array_const_0D0[1] + array_tmp14[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp15[1]*expt(glob_h, 1)*factorial_3(0, 1);
array_y[2] := temporary;
array_y_higher[1, 2] := temporary;
temporary := temporary*1.0/glob_h;
array_y_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := array_const_2D0[1]*array_x[2];
array_tmp2[2] := array_tmp1[2];
array_tmp3[2] := array_tmp2[2]/(array_tmp3[1]*2.0);
array_tmp4_a1[2] := att(1, array_tmp4_a2, array_tmp3, 1);
array_tmp4_a2[2] := -att(1, array_tmp4_a1, array_tmp3, 1);
array_tmp4[2] := (
array_tmp4_a1[2] - ats(2, array_tmp4_a2, array_tmp4, 2))/
array_tmp4_a2[1];
array_tmp5[2] := array_const_2D0[1]*array_x[2];
array_tmp6[2] := array_tmp5[2];
array_tmp7[2] := array_tmp6[2]/(array_tmp7[1]*2.0);
array_tmp8_a1[2] := att(1, array_tmp8_a2, array_tmp7, 1);
array_tmp8_a2[2] := -att(1, array_tmp8_a1, array_tmp7, 1);
array_tmp8[2] := (
array_tmp8_a1[2] - ats(2, array_tmp8_a2, array_tmp8, 2))/
array_tmp8_a2[1];
array_tmp9[2] := ats(2, array_tmp4, array_tmp8, 1);
array_tmp10[2] := array_tmp9[2];
array_tmp11[2] := array_const_2D0[1]*array_x[2];
array_tmp12[2] := array_tmp11[2];
array_tmp13[2] := array_tmp12[2]/(array_tmp13[1]*2.0);
array_tmp14[2] := (array_tmp10[2] - ats(2, array_tmp13, array_tmp14, 2)
)/array_tmp13[1];
array_tmp15[2] := array_tmp14[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp15[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_y[3] := temporary;
array_y_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp3[3] := 0.;
array_tmp3[3] := -ats(3, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0)
;
array_tmp4_a1[3] := att(2, array_tmp4_a2, array_tmp3, 1);
array_tmp4_a2[3] := -att(2, array_tmp4_a1, array_tmp3, 1);
array_tmp4[3] := (
array_tmp4_a1[3] - ats(3, array_tmp4_a2, array_tmp4, 2))/
array_tmp4_a2[1];
array_tmp7[3] := 0.;
array_tmp7[3] := -ats(3, array_tmp7, array_tmp7, 2)/(array_tmp7[1]*2.0)
;
array_tmp8_a1[3] := att(2, array_tmp8_a2, array_tmp7, 1);
array_tmp8_a2[3] := -att(2, array_tmp8_a1, array_tmp7, 1);
array_tmp8[3] := (
array_tmp8_a1[3] - ats(3, array_tmp8_a2, array_tmp8, 2))/
array_tmp8_a2[1];
array_tmp9[3] := ats(3, array_tmp4, array_tmp8, 1);
array_tmp10[3] := array_tmp9[3];
array_tmp13[3] := 0.;
array_tmp13[3] :=
-ats(3, array_tmp13, array_tmp13, 2)/(array_tmp13[1]*2.0);
array_tmp14[3] := (array_tmp10[3] - ats(3, array_tmp13, array_tmp14, 2)
)/array_tmp13[1];
array_tmp15[3] := array_tmp14[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp15[3]*expt(glob_h, 1)*factorial_3(2, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp3[4] := 0.;
array_tmp3[4] := -ats(4, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0)
;
array_tmp4_a1[4] := att(3, array_tmp4_a2, array_tmp3, 1);
array_tmp4_a2[4] := -att(3, array_tmp4_a1, array_tmp3, 1);
array_tmp4[4] := (
array_tmp4_a1[4] - ats(4, array_tmp4_a2, array_tmp4, 2))/
array_tmp4_a2[1];
array_tmp7[4] := 0.;
array_tmp7[4] := -ats(4, array_tmp7, array_tmp7, 2)/(array_tmp7[1]*2.0)
;
array_tmp8_a1[4] := att(3, array_tmp8_a2, array_tmp7, 1);
array_tmp8_a2[4] := -att(3, array_tmp8_a1, array_tmp7, 1);
array_tmp8[4] := (
array_tmp8_a1[4] - ats(4, array_tmp8_a2, array_tmp8, 2))/
array_tmp8_a2[1];
array_tmp9[4] := ats(4, array_tmp4, array_tmp8, 1);
array_tmp10[4] := array_tmp9[4];
array_tmp13[4] := 0.;
array_tmp13[4] :=
-ats(4, array_tmp13, array_tmp13, 2)/(array_tmp13[1]*2.0);
array_tmp14[4] := (array_tmp10[4] - ats(4, array_tmp13, array_tmp14, 2)
)/array_tmp13[1];
array_tmp15[4] := array_tmp14[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp15[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp3[5] := 0.;
array_tmp3[5] := -ats(5, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0)
;
array_tmp4_a1[5] := att(4, array_tmp4_a2, array_tmp3, 1);
array_tmp4_a2[5] := -att(4, array_tmp4_a1, array_tmp3, 1);
array_tmp4[5] := (
array_tmp4_a1[5] - ats(5, array_tmp4_a2, array_tmp4, 2))/
array_tmp4_a2[1];
array_tmp7[5] := 0.;
array_tmp7[5] := -ats(5, array_tmp7, array_tmp7, 2)/(array_tmp7[1]*2.0)
;
array_tmp8_a1[5] := att(4, array_tmp8_a2, array_tmp7, 1);
array_tmp8_a2[5] := -att(4, array_tmp8_a1, array_tmp7, 1);
array_tmp8[5] := (
array_tmp8_a1[5] - ats(5, array_tmp8_a2, array_tmp8, 2))/
array_tmp8_a2[1];
array_tmp9[5] := ats(5, array_tmp4, array_tmp8, 1);
array_tmp10[5] := array_tmp9[5];
array_tmp13[5] := 0.;
array_tmp13[5] :=
-ats(5, array_tmp13, array_tmp13, 2)/(array_tmp13[1]*2.0);
array_tmp14[5] := (array_tmp10[5] - ats(5, array_tmp13, array_tmp14, 2)
)/array_tmp13[1];
array_tmp15[5] := array_tmp14[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp15[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp3[kkk] := 0.;
array_tmp3[kkk] :=
-ats(kkk, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0);
array_tmp4_a1[kkk] := att(kkk - 1, array_tmp4_a2, array_tmp3, 1);
array_tmp4_a2[kkk] := -att(kkk - 1, array_tmp4_a1, array_tmp3, 1);
array_tmp4[kkk] := (
array_tmp4_a1[kkk] - ats(kkk, array_tmp4_a2, array_tmp4, 2))/
array_tmp4_a2[1];
array_tmp7[kkk] := 0.;
array_tmp7[kkk] :=
-ats(kkk, array_tmp7, array_tmp7, 2)/(array_tmp7[1]*2.0);
array_tmp8_a1[kkk] := att(kkk - 1, array_tmp8_a2, array_tmp7, 1);
array_tmp8_a2[kkk] := -att(kkk - 1, array_tmp8_a1, array_tmp7, 1);
array_tmp8[kkk] := (
array_tmp8_a1[kkk] - ats(kkk, array_tmp8_a2, array_tmp8, 2))/
array_tmp8_a2[1];
array_tmp9[kkk] := ats(kkk, array_tmp4, array_tmp8, 1);
array_tmp10[kkk] := array_tmp9[kkk];
array_tmp13[kkk] := 0.;
array_tmp13[kkk] :=
-ats(kkk, array_tmp13, array_tmp13, 2)/(array_tmp13[1]*2.0);
array_tmp14[kkk] := (
array_tmp10[kkk] - ats(kkk, array_tmp13, array_tmp14, 2))/
array_tmp13[1];
array_tmp15[kkk] := array_tmp14[kkk];
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y_set_initial[1, kkk + order_d] then
temporary := array_tmp15[kkk]*expt(glob_h, order_d)*
factorial_3(kkk - 1, kkk + order_d - 1);
array_y[kkk + order_d] := temporary;
array_y_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := kkk + order_d - 1;
adj3 := 2;
while 1 <= term do
if adj3 <= order_d + 1 then
if 0 < adj2 then
temporary := temporary*convfp(adj2)/glob_h
else temporary := temporary
end if;
array_y_higher[adj3, term] := temporary
end if;
term := term - 1;
adj2 := adj2 - 1;
adj3 := adj3 + 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> # End Function number 12
> #BEGIN ATS LIBRARY BLOCK
> # Begin Function number 2
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s\n",str);
> fi;# end if 1;
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s\n", str) end if
end proc
> # End Function number 2
> # Begin Function number 3
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s",str);
> fi;# end if 1;
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> # End Function number 3
> # Begin Function number 4
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> print(label,str);
> fi;# end if 1;
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> # End Function number 4
> # Begin Function number 5
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> if vallen = 4 then
> printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel);
> else
> printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 4 then
printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel)
else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 5
> # Begin Function number 6
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> if vallen = 5 then # if number 1
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 5 then
printf("%-30s = %-32d %s\n", prelabel, value, postlabel)
else printf("%-30s = %-32d %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 6
> # Begin Function number 7
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;# end if 0;
> end;
omniout_float_arr := proc(
iolevel, prelabel, elemnt, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
print(prelabel, "[", elemnt, "]", value, postlabel)
end if
end proc
> # End Function number 7
> # Begin Function number 8
> dump_series := proc(iolevel,dump_label,series_name,arr_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then # if number 0
> i := 1;
> while (i <= numb) do # do number 1
> print(dump_label,series_name
> ,i,arr_series[i]);
> i := i + 1;
> od;# end do number 1
> fi;# end if 0
> end;
dump_series := proc(iolevel, dump_label, series_name, arr_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, arr_series[i]); i := i + 1
end do
end if
end proc
> # End Function number 8
> # Begin Function number 9
> dump_series_2 := proc(iolevel,dump_label,series_name2,arr_series2,numb,subnum,arr_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then # if number 0
> sub := 1;
> while (sub <= subnum) do # do number 1
> i := 1;
> while (i <= numb) do # do number 2
> print(dump_label,series_name2,sub,i,arr_series2[sub,i]);
> od;# end do number 2;
> sub := sub + 1;
> od;# end do number 1;
> fi;# end if 0;
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x)
local i, sub, ts_term;
global glob_iolevel;
if iolevel <= glob_iolevel then
sub := 1;
while sub <= subnum do
i := 1;
while i <= numb do print(dump_label, series_name2, sub, i,
arr_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> # End Function number 9
> # Begin Function number 10
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= iolevel) then # if number 0
> print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h)
> fi;# end if 0;
> end;
cs_info := proc(iolevel, str)
global
glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h;
if iolevel <= glob_iolevel then print("cs_info ", str,
" glob_correct_start_flag = ", glob_correct_start_flag,
"glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h)
end if
end proc
> # End Function number 10
> # Begin Function number 11
> logitem_time := proc(fd,secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> fprintf(fd,"
");
> if (secs_in >= 0) then # if number 0
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 1
> fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 2
> fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 3
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 4
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 4
> else
> fprintf(fd," Unknown");
> fi;# end if 3
> fprintf(fd," | \n");
> end;
logitem_time := proc(fd, secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
fprintf(fd, "");
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then fprintf(fd,
"%d Years %d Days %d Hours %d Minutes %d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then fprintf(fd,
"%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int,
minutes_int, sec_int)
elif 0 < hours_int then fprintf(fd,
"%d Hours %d Minutes %d Seconds", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int)
else fprintf(fd, "%d Seconds", sec_int)
end if
else fprintf(fd, " Unknown")
end if;
fprintf(fd, " | \n")
end proc
> # End Function number 11
> # Begin Function number 12
> omniout_timestr := proc(secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> if (secs_in >= 0) then # if number 3
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 4
> printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 5
> printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 6
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 7
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 7
> else
> printf(" Unknown\n");
> fi;# end if 6
> end;
omniout_timestr := proc(secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then printf(
" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",
years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then printf(
" = %d Days %d Hours %d Minutes %d Seconds\n", days_int,
hours_int, minutes_int, sec_int)
elif 0 < hours_int then printf(
" = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int)
else printf(" = %d Seconds\n", sec_int)
end if
else printf(" Unknown\n")
end if
end proc
> # End Function number 12
> # Begin Function number 13
> ats := proc(mmm_ats,arr_a,arr_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 6
> ma_ats := mmm_ats + 1;
> iii_ats := jjj_ats;
> while (iii_ats <= mmm_ats) do # do number 1
> lll_ats := ma_ats - iii_ats;
> ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 6;
> ret_ats;
> end;
ats := proc(mmm_ats, arr_a, arr_b, jjj_ats)
local iii_ats, lll_ats, ma_ats, ret_ats;
ret_ats := 0.;
if jjj_ats <= mmm_ats then
ma_ats := mmm_ats + 1;
iii_ats := jjj_ats;
while iii_ats <= mmm_ats do
lll_ats := ma_ats - iii_ats;
ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
> # End Function number 13
> # Begin Function number 14
> att := proc(mmm_att,arr_aa,arr_bb,jjj_att)
> global glob_max_terms;
> local al_att, iii_att,lll_att, ma_att, ret_att;
> ret_att := 0.0;
> if (jjj_att <= mmm_att) then # if number 6
> ma_att := mmm_att + 2;
> iii_att := jjj_att;
> while (iii_att <= mmm_att) do # do number 1
> lll_att := ma_att - iii_att;
> al_att := (lll_att - 1);
> if (lll_att <= glob_max_terms) then # if number 7
> ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]* convfp(al_att);
> fi;# end if 7;
> iii_att := iii_att + 1;
> od;# end do number 1;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 6;
> ret_att;
> end;
att := proc(mmm_att, arr_aa, arr_bb, jjj_att)
local al_att, iii_att, lll_att, ma_att, ret_att;
global glob_max_terms;
ret_att := 0.;
if jjj_att <= mmm_att then
ma_att := mmm_att + 2;
iii_att := jjj_att;
while iii_att <= mmm_att do
lll_att := ma_att - iii_att;
al_att := lll_att - 1;
if lll_att <= glob_max_terms then ret_att :=
ret_att + arr_aa[iii_att]*arr_bb[lll_att]*convfp(al_att)
end if;
iii_att := iii_att + 1
end do;
ret_att := ret_att/convfp(mmm_att)
end if;
ret_att
end proc
> # End Function number 14
> # Begin Function number 15
> display_pole_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_y := proc(x)
> return(tan(sqrt(2.0*x + 1.0)));
> end;
exact_soln_y := proc(x) return tan(sqrt(2.0*x + 1.0)) 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,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8_g,
> array_tmp8_a1,
> array_tmp8_a2,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> glob_max_terms := 30;
> glob_iolevel := 5;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> MAX_UNCHANGED := 10;
> glob_check_sign := 1.0;
> glob_desired_digits_correct := 8.0;
> glob_max_value3 := 0.0;
> glob_ratio_of_radius := 0.01;
> glob_percent_done := 0.0;
> glob_subiter_method := 3;
> glob_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 := 1;
> glob_iter := -1;
> opt_iter := -1;
> glob_max_iter := 50000;
> glob_max_hours := 0.0;
> glob_max_minutes := 15.0;
> omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################");
> omniout_str(ALWAYS,"##############temp/tan_sqrt_newpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = ( 1.0 + ( tan ( sqrt ( 2.0 * x + 1.0 ) ) * tan( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits:=32;");
> omniout_str(ALWAYS,"max_terms:=30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := 0.1;");
> omniout_str(ALWAYS,"x_end := 1.0 ;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 1000000;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_desired_digits_correct:=10;");
> omniout_str(ALWAYS,"glob_display_interval:=0.001;");
> omniout_str(ALWAYS,"glob_look_poles:=true;");
> omniout_str(ALWAYS,"glob_max_iter:=10000000;");
> omniout_str(ALWAYS,"glob_max_minutes:=3;");
> omniout_str(ALWAYS,"glob_subiter_method:=3;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_y := proc(x)");
> omniout_str(ALWAYS,"return(tan(sqrt(2.0*x + 1.0)));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits:=32;
> max_terms:=30;
> #END FIRST INPUT BLOCK
> #START OF INITS AFTER INPUT BLOCK
> glob_max_terms := max_terms;
> glob_html_log := true;
> #END OF INITS AFTER INPUT BLOCK
> array_y_init:= Array(0..(max_terms + 1),[]);
> array_norms:= Array(0..(max_terms + 1),[]);
> array_fact_1:= Array(0..(max_terms + 1),[]);
> array_pole:= Array(0..(max_terms + 1),[]);
> array_1st_rel_error:= Array(0..(max_terms + 1),[]);
> array_last_rel_error:= Array(0..(max_terms + 1),[]);
> array_type_pole:= Array(0..(max_terms + 1),[]);
> array_y:= Array(0..(max_terms + 1),[]);
> array_x:= Array(0..(max_terms + 1),[]);
> array_tmp0:= Array(0..(max_terms + 1),[]);
> array_tmp1:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_tmp4_g:= Array(0..(max_terms + 1),[]);
> array_tmp4_a1:= Array(0..(max_terms + 1),[]);
> array_tmp4_a2:= Array(0..(max_terms + 1),[]);
> array_tmp4:= Array(0..(max_terms + 1),[]);
> array_tmp5:= Array(0..(max_terms + 1),[]);
> array_tmp6:= Array(0..(max_terms + 1),[]);
> array_tmp7:= Array(0..(max_terms + 1),[]);
> array_tmp8_g:= Array(0..(max_terms + 1),[]);
> array_tmp8_a1:= Array(0..(max_terms + 1),[]);
> array_tmp8_a2:= Array(0..(max_terms + 1),[]);
> array_tmp8:= Array(0..(max_terms + 1),[]);
> array_tmp9:= Array(0..(max_terms + 1),[]);
> array_tmp10:= Array(0..(max_terms + 1),[]);
> array_tmp11:= Array(0..(max_terms + 1),[]);
> array_tmp12:= Array(0..(max_terms + 1),[]);
> array_tmp13:= Array(0..(max_terms + 1),[]);
> array_tmp14:= Array(0..(max_terms + 1),[]);
> array_tmp15:= Array(0..(max_terms + 1),[]);
> array_m1:= Array(0..(max_terms + 1),[]);
> array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_fact_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_last_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_type_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp6[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp7[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp8_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp8_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp8_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp8[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp9[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp10[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp11[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp12[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp13[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp14[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp15[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_real_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_complex_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=max_terms) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_fact_2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_y := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_x := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4_a1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4_a2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp5 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp6 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp6[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp7 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp7[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp8_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp8_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp8_a1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp8_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp8_a2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp8_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp8 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp8[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp9 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp9[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp10 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp10[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp11 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp11[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp12 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp12[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp13 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp13[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp14 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp14[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp15 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp15[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1[1] := 1;
> array_const_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D0[1] := 0.0;
> array_const_1D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1D0[1] := 1.0;
> array_const_2D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_2D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_2D0[1] := 2.0;
> array_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 := 1.0 ;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_look_poles := true;
> glob_max_iter := 1000000;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_desired_digits_correct:=10;
> glob_display_interval:=0.001;
> glob_look_poles:=true;
> glob_max_iter:=10000000;
> glob_max_minutes:=3;
> glob_subiter_method:=3;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> if (glob_h > 0.0) then # if number 1
> glob_neg_h := false;
> glob_display_interval := omniabs(glob_display_interval);
> else
> glob_neg_h := true;
> glob_display_interval := -omniabs(glob_display_interval);
> fi;# end if 1;
> chk_data();
> #AFTER INITS AFTER SECOND INPUT BLOCK
> array_y_set_initial[1,1] := true;
> array_y_set_initial[1,2] := false;
> array_y_set_initial[1,3] := false;
> array_y_set_initial[1,4] := false;
> array_y_set_initial[1,5] := false;
> array_y_set_initial[1,6] := false;
> array_y_set_initial[1,7] := false;
> array_y_set_initial[1,8] := false;
> array_y_set_initial[1,9] := false;
> array_y_set_initial[1,10] := false;
> array_y_set_initial[1,11] := false;
> array_y_set_initial[1,12] := false;
> array_y_set_initial[1,13] := false;
> array_y_set_initial[1,14] := false;
> array_y_set_initial[1,15] := false;
> array_y_set_initial[1,16] := false;
> array_y_set_initial[1,17] := false;
> array_y_set_initial[1,18] := false;
> array_y_set_initial[1,19] := false;
> array_y_set_initial[1,20] := false;
> array_y_set_initial[1,21] := false;
> array_y_set_initial[1,22] := false;
> array_y_set_initial[1,23] := false;
> array_y_set_initial[1,24] := false;
> array_y_set_initial[1,25] := false;
> array_y_set_initial[1,26] := false;
> array_y_set_initial[1,27] := false;
> array_y_set_initial[1,28] := false;
> array_y_set_initial[1,29] := false;
> array_y_set_initial[1,30] := false;
> #BEGIN OPTIMIZE CODE
> omniout_str(ALWAYS,"START of Optimize");
> #Start Series -- INITIALIZE FOR OPTIMIZE
> glob_check_sign := check_sign(x_start,x_end);
> glob_h := check_sign(x_start,x_end);
> if (glob_display_interval < glob_h) then # if number 2
> glob_h := glob_display_interval;
> fi;# end if 2;
> if (glob_max_h < glob_h) then # if number 2
> glob_h := glob_max_h;
> fi;# end if 2;
> found_h := -1.0;
> best_h := 0.0;
> min_value := glob_large_float;
> est_answer := est_size_answer();
> opt_iter := 1;
> while ((opt_iter <= 20) and (found_h < 0.0)) do # do number 2
> omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,"");
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 3
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 3;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 3
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 4
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 4;
> r_order := r_order + 1;
> od;# end do number 3
> ;
> atomall();
> est_needed_step_err := estimated_needed_step_error(x_start,x_end,glob_h,est_answer);
> omniout_float(ALWAYS,"est_needed_step_err",32,est_needed_step_err,16,"");
> value3 := test_suggested_h();
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> if ((value3 < est_needed_step_err) and (found_h < 0.0)) then # if number 2
> best_h := glob_h;
> found_h := 1.0;
> fi;# end if 2;
> omniout_float(ALWAYS,"best_h",32,best_h,32,"");
> opt_iter := opt_iter + 1;
> glob_h := glob_h * 0.5;
> od;# end do number 2;
> if (found_h > 0.0) then # if number 2
> glob_h := best_h ;
> else
> omniout_str(ALWAYS,"No increment to obtain desired accuracy found");
> fi;# end if 2;
> #END OPTIMIZE CODE
> if (glob_html_log) then # if number 2
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 2;
> #BEGIN SOLUTION CODE
> if (found_h > 0.0) then # if number 2
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> current_iter := 1;
> glob_clock_start_sec := elapsed_time_seconds();
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and ((glob_check_sign * array_x[1]) < (glob_check_sign * x_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> if (reached_interval()) then # if number 3
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> fi;# end if 3;
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> atomall();
> display_alot(current_iter);
> if (glob_look_poles) then # if number 3
> #left paren 0004C
> check_for_pole();
> fi;# end if 3;#was right paren 0004C
> if (reached_interval()) then # if number 3
> glob_next_display := glob_next_display + glob_display_interval;
> fi;# end if 3;
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y;
> order_diff := 2;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_y[term_no] := array_y_higher_work2[1,term_no];
> ord := 1;
> while (ord <= order_diff) do # do number 4
> array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4;
> term_no := term_no - 1;
> od;# end do number 3;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> ;
> od;# end do number 2;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 3
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!");
> fi;# end if 3;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 3
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!");
> fi;# end if 3;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y , x , 1 ) = ( 1.0 + ( tan ( sqrt ( 2.0 * x + 1.0 ) ) * tan( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ;");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if (glob_html_log) then # if number 3
> logstart(html_log_file);
> logitem_str(html_log_file,"2013-01-28T20:26:18-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"tan_sqrt_new")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = ( 1.0 + ( tan ( sqrt ( 2.0 * x + 1.0 ) ) * tan( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 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 4
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 4;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if (glob_percent_done < 100.0) then # if number 4
> logitem_time(html_log_file,convfloat(glob_total_exp_sec))
> ;
> 0;
> else
> logitem_str(html_log_file,"Done")
> ;
> 0;
> fi;# end if 4;
> log_revs(html_log_file," 165 | ")
> ;
> logitem_str(html_log_file,"tan_sqrt_new diffeq.mxt")
> ;
> logitem_str(html_log_file,"tan_sqrt_new maple results")
> ;
> logitem_str(html_log_file,"All Tests - All Languages")
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 3;
> if (glob_html_log) then # if number 3
> fclose(html_log_file);
> fi;# end if 3
> ;
> ;;
> fi;# end if 2
> #END OUTFILEMAIN
> end;
main := proc()
local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff,
term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii,
temp_sum, current_iter, x_start, x_end, it, 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_const_2D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1,
array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g,
array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10,
array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
glob_max_terms := 30;
glob_iolevel := 5;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
MAX_UNCHANGED := 10;
glob_check_sign := 1.0;
glob_desired_digits_correct := 8.0;
glob_max_value3 := 0.;
glob_ratio_of_radius := 0.01;
glob_percent_done := 0.;
glob_subiter_method := 3;
glob_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 := 1;
glob_iter := -1;
opt_iter := -1;
glob_max_iter := 50000;
glob_max_hours := 0.;
glob_max_minutes := 15.0;
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################");
omniout_str(ALWAYS,
"##############temp/tan_sqrt_newpostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = ( 1.0 + ( tan ( sqrt ( 2.0 \
* x + 1.0 ) ) * tan( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 *\
x + 1.0 ) ;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits:=32;");
omniout_str(ALWAYS, "max_terms:=30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := 0.1;");
omniout_str(ALWAYS, "x_end := 1.0 ;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 1000000;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_desired_digits_correct:=10;");
omniout_str(ALWAYS, "glob_display_interval:=0.001;");
omniout_str(ALWAYS, "glob_look_poles:=true;");
omniout_str(ALWAYS, "glob_max_iter:=10000000;");
omniout_str(ALWAYS, "glob_max_minutes:=3;");
omniout_str(ALWAYS, "glob_subiter_method:=3;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_y := proc(x)");
omniout_str(ALWAYS, "return(tan(sqrt(2.0*x + 1.0)));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
Digits := 32;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_y_init := Array(0 .. max_terms + 1, []);
array_norms := Array(0 .. max_terms + 1, []);
array_fact_1 := Array(0 .. max_terms + 1, []);
array_pole := Array(0 .. max_terms + 1, []);
array_1st_rel_error := Array(0 .. max_terms + 1, []);
array_last_rel_error := Array(0 .. max_terms + 1, []);
array_type_pole := Array(0 .. max_terms + 1, []);
array_y := Array(0 .. max_terms + 1, []);
array_x := Array(0 .. max_terms + 1, []);
array_tmp0 := Array(0 .. max_terms + 1, []);
array_tmp1 := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_tmp4_g := Array(0 .. max_terms + 1, []);
array_tmp4_a1 := Array(0 .. max_terms + 1, []);
array_tmp4_a2 := Array(0 .. max_terms + 1, []);
array_tmp4 := Array(0 .. max_terms + 1, []);
array_tmp5 := Array(0 .. max_terms + 1, []);
array_tmp6 := Array(0 .. max_terms + 1, []);
array_tmp7 := Array(0 .. max_terms + 1, []);
array_tmp8_g := Array(0 .. max_terms + 1, []);
array_tmp8_a1 := Array(0 .. max_terms + 1, []);
array_tmp8_a2 := Array(0 .. max_terms + 1, []);
array_tmp8 := Array(0 .. max_terms + 1, []);
array_tmp9 := Array(0 .. max_terms + 1, []);
array_tmp10 := Array(0 .. max_terms + 1, []);
array_tmp11 := Array(0 .. max_terms + 1, []);
array_tmp12 := Array(0 .. max_terms + 1, []);
array_tmp13 := Array(0 .. max_terms + 1, []);
array_tmp14 := Array(0 .. max_terms + 1, []);
array_tmp15 := Array(0 .. max_terms + 1, []);
array_m1 := Array(0 .. max_terms + 1, []);
array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []);
array_poles := Array(0 .. 2, 0 .. 4, []);
array_real_pole := Array(0 .. 2, 0 .. 4, []);
array_complex_pole := Array(0 .. 2, 0 .. 4, []);
array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []);
term := 1;
while term <= max_terms do array_y_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_fact_1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_last_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_type_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4_g[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4_a1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4_a2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp5[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp6[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp7[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp8_g[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp8_a1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp8_a2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp8[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp9[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp10[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp11[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp12[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp13[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp14[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp15[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_real_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_complex_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= max_terms do
term := 1;
while term <= max_terms do
array_fact_2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_y := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1
end do;
array_x := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp4_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp4_g[term] := 0.; term := term + 1
end do;
array_tmp4_a1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp4_a1[term] := 0.; term := term + 1
end do;
array_tmp4_a2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp4_a2[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_tmp5 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1
end do;
array_tmp6 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp6[term] := 0.; term := term + 1
end do;
array_tmp7 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp7[term] := 0.; term := term + 1
end do;
array_tmp8_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp8_g[term] := 0.; term := term + 1
end do;
array_tmp8_a1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp8_a1[term] := 0.; term := term + 1
end do;
array_tmp8_a2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp8_a2[term] := 0.; term := term + 1
end do;
array_tmp8 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp8[term] := 0.; term := term + 1
end do;
array_tmp9 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp9[term] := 0.; term := term + 1
end do;
array_tmp10 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp10[term] := 0.; term := term + 1
end do;
array_tmp11 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp11[term] := 0.; term := term + 1
end do;
array_tmp12 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp12[term] := 0.; term := term + 1
end do;
array_tmp13 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp13[term] := 0.; term := term + 1
end do;
array_tmp14 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp14[term] := 0.; term := term + 1
end do;
array_tmp15 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp15[term] := 0.; term := term + 1
end do;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1
end do;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_1D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1D0[term] := 0.; term := term + 1
end do;
array_const_1D0[1] := 1.0;
array_const_2D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_2D0[term] := 0.; term := term + 1
end do;
array_const_2D0[1] := 2.0;
array_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 := 1.0;
array_y_init[1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_iter := 1000000;
glob_desired_digits_correct := 10;
glob_display_interval := 0.001;
glob_look_poles := true;
glob_max_iter := 10000000;
glob_max_minutes := 3;
glob_subiter_method := 3;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
if 0. < glob_h then
glob_neg_h := false;
glob_display_interval := omniabs(glob_display_interval)
else
glob_neg_h := true;
glob_display_interval := -omniabs(glob_display_interval)
end if;
chk_data();
array_y_set_initial[1, 1] := true;
array_y_set_initial[1, 2] := false;
array_y_set_initial[1, 3] := false;
array_y_set_initial[1, 4] := false;
array_y_set_initial[1, 5] := false;
array_y_set_initial[1, 6] := false;
array_y_set_initial[1, 7] := false;
array_y_set_initial[1, 8] := false;
array_y_set_initial[1, 9] := false;
array_y_set_initial[1, 10] := false;
array_y_set_initial[1, 11] := false;
array_y_set_initial[1, 12] := false;
array_y_set_initial[1, 13] := false;
array_y_set_initial[1, 14] := false;
array_y_set_initial[1, 15] := false;
array_y_set_initial[1, 16] := false;
array_y_set_initial[1, 17] := false;
array_y_set_initial[1, 18] := false;
array_y_set_initial[1, 19] := false;
array_y_set_initial[1, 20] := false;
array_y_set_initial[1, 21] := false;
array_y_set_initial[1, 22] := false;
array_y_set_initial[1, 23] := false;
array_y_set_initial[1, 24] := false;
array_y_set_initial[1, 25] := false;
array_y_set_initial[1, 26] := false;
array_y_set_initial[1, 27] := false;
array_y_set_initial[1, 28] := false;
array_y_set_initial[1, 29] := false;
array_y_set_initial[1, 30] := false;
omniout_str(ALWAYS, "START of Optimize");
glob_check_sign := check_sign(x_start, x_end);
glob_h := check_sign(x_start, x_end);
if glob_display_interval < glob_h then glob_h := glob_display_interval
end if;
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_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
atomall();
est_needed_step_err :=
estimated_needed_step_error(x_start, x_end, glob_h, est_answer)
;
omniout_float(ALWAYS, "est_needed_step_err", 32,
est_needed_step_err, 16, "");
value3 := test_suggested_h();
omniout_float(ALWAYS, "value3", 32, value3, 32, "");
if value3 < est_needed_step_err and found_h < 0. then
best_h := glob_h; found_h := 1.0
end if;
omniout_float(ALWAYS, "best_h", 32, best_h, 32, "");
opt_iter := opt_iter + 1;
glob_h := glob_h*0.5
end do;
if 0. < found_h then glob_h := best_h
else omniout_str(ALWAYS,
"No increment to obtain desired accuracy found")
end if;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
if 0. < found_h then
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and
glob_check_sign*array_x[1] < glob_check_sign*x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
if reached_interval() then
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop")
end if;
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
atomall();
display_alot(current_iter);
if glob_look_poles then check_for_pole() end if;
if reached_interval() then glob_next_display :=
glob_next_display + glob_display_interval
end if;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
order_diff := 2;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
term_no := glob_max_terms;
while 1 <= term_no do
array_y[term_no] := array_y_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y_higher[ord, term_no] :=
array_y_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO, "diff ( y , x , 1 ) = ( 1.0 + ( tan ( sqrt ( 2.\
0 * x + 1.0 ) ) * tan( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt (\
2.0 * x + 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, "2013-01-28T20:26:18-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"tan_sqrt_new");
logitem_str(html_log_file, "diff ( y , x , 1 ) = ( 1.0 + ( ta\
n ( sqrt ( 2.0 * x + 1.0 ) ) * tan( sqrt ( 2.0 * x + 1.0\
) ) ) ) / sqrt ( 2.0 * x + 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, "tan_sqrt_new diffeq.mxt");
logitem_str(html_log_file, "tan_sqrt_new maple results");
logitem_str(html_log_file, "All Tests - All Languages");
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/tan_sqrt_newpostode.ode#################
diff ( y , x , 1 ) = ( 1.0 + ( tan ( sqrt ( 2.0 * x + 1.0 ) ) * tan( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ;
!
#BEGIN FIRST INPUT BLOCK
Digits:=32;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 0.1;
x_end := 1.0 ;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_iter := 1000000;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_desired_digits_correct:=10;
glob_display_interval:=0.001;
glob_look_poles:=true;
glob_max_iter:=10000000;
glob_max_minutes:=3;
glob_subiter_method:=3;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
return(tan(sqrt(2.0*x + 1.0)));
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
opt_iter = 1
glob_desired_digits_correct = 10
memory used=3.8MB, alloc=2.8MB, time=0.14
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 0.9
estimated_steps = 900
step_error = 1.1111111111111111111111111111111e-13
est_needed_step_err = 1.1111111111111111111111111111111e-13
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 3.4987749660157723633064599663529e-73
max_value3 = 3.4987749660157723633064599663529e-73
value3 = 3.4987749660157723633064599663529e-73
best_h = 0.001
START of Soultion
TOP MAIN SOLVE Loop
x[1] = 0.1
y[1] (analytic) = 1.9428178495783909218790748349977
y[1] (numeric) = 1.9428178495783909218790748349977
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4448
Order of pole = 453.1
TOP MAIN SOLVE Loop
memory used=7.6MB, alloc=3.8MB, time=0.27
x[1] = 0.101
y[1] (analytic) = 1.9471823134389631452589090373945
y[1] (numeric) = 1.9471823134389631452589090373943
absolute error = 2e-31
relative error = 1.0271251881226028252481634083653e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4552
Order of pole = 464.8
TOP MAIN SOLVE Loop
x[1] = 0.102
y[1] (analytic) = 1.9515586654531525990372423182078
y[1] (numeric) = 1.9515586654531525990372423182076
absolute error = 2e-31
relative error = 1.0248218695160769385728838035371e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4651
Order of pole = 476
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=3.9MB, time=0.41
x[1] = 0.103
y[1] (analytic) = 1.9559469661196914130190304516191
y[1] (numeric) = 1.955946966119691413019030451619
absolute error = 1e-31
relative error = 5.1126130581334300445712919600595e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4746
Order of pole = 486.7
TOP MAIN SOLVE Loop
x[1] = 0.104
y[1] (analytic) = 1.9603472763054889150974699653473
y[1] (numeric) = 1.9603472763054889150974699653473
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4836
Order of pole = 497
TOP MAIN SOLVE Loop
memory used=15.2MB, alloc=3.9MB, time=0.55
x[1] = 0.105
y[1] (analytic) = 1.9647596572486519509309227817794
y[1] (numeric) = 1.9647596572486519509309227817793
absolute error = 1e-31
relative error = 5.0896810523906440718957179535094e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4922
Order of pole = 506.8
TOP MAIN SOLVE Loop
x[1] = 0.106
y[1] (analytic) = 1.9691841705615333921812335989365
y[1] (numeric) = 1.9691841705615333921812335989364
absolute error = 1e-31
relative error = 5.0782451684792874219661564738432e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5002
Order of pole = 516.2
TOP MAIN SOLVE Loop
memory used=19.0MB, alloc=4.0MB, time=0.69
x[1] = 0.107
y[1] (analytic) = 1.9736208782338091543332063137118
y[1] (numeric) = 1.9736208782338091543332063137119
absolute error = 1e-31
relative error = 5.0668292529155789246900421979762e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5079
Order of pole = 525.1
TOP MAIN SOLVE Loop
x[1] = 0.108
y[1] (analytic) = 1.9780698426355840491535941771793
y[1] (numeric) = 1.9780698426355840491535941771794
absolute error = 1e-31
relative error = 5.0554332230635399788172241745388e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.515
Order of pole = 533.6
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.0MB, time=0.83
x[1] = 0.109
y[1] (analytic) = 1.9825311265205268009455416770191
y[1] (numeric) = 1.9825311265205268009455416770191
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5217
Order of pole = 541.6
TOP MAIN SOLVE Loop
x[1] = 0.11
y[1] (analytic) = 1.9870047930290345599119289346476
y[1] (numeric) = 1.9870047930290345599119289346477
absolute error = 1e-31
relative error = 5.0327004922598985175365330559882e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.528
Order of pole = 549.1
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.0MB, time=0.97
x[1] = 0.111
y[1] (analytic) = 1.9914909056914272501594629392249
y[1] (numeric) = 1.9914909056914272501594629392251
absolute error = 2e-31
relative error = 1.0042727256671144430267123738657e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5338
Order of pole = 556.2
TOP MAIN SOLVE Loop
x[1] = 0.112
y[1] (analytic) = 1.9959895284311720941556024764486
y[1] (numeric) = 1.9959895284311720941556024764487
absolute error = 1e-31
relative error = 5.0100463241707988733449398242353e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5393
Order of pole = 562.9
TOP MAIN SOLVE Loop
memory used=30.5MB, alloc=4.0MB, time=1.11
x[1] = 0.113
y[1] (analytic) = 2.0005007255681386597934807361787
y[1] (numeric) = 2.0005007255681386597934807361788
absolute error = 1e-31
relative error = 4.9987484994088256213459742082526e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5443
Order of pole = 569.2
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.1MB, time=1.26
x[1] = 0.114
y[1] (analytic) = 2.005024561821884780626904551494
y[1] (numeric) = 2.005024561821884780626904551494
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5489
Order of pole = 575.1
TOP MAIN SOLVE Loop
x[1] = 0.115
y[1] (analytic) = 2.0095611023149737043092832872775
y[1] (numeric) = 2.0095611023149737043092832872774
absolute error = 1e-31
relative error = 4.9762109688927609416393647038157e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5532
Order of pole = 580.7
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.1MB, time=1.40
x[1] = 0.116
y[1] (analytic) = 2.0141104125763228288080131628091
y[1] (numeric) = 2.014110412576322828808013162809
absolute error = 1e-31
relative error = 4.9649711046419901075525954473591e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5571
Order of pole = 585.8
TOP MAIN SOLVE Loop
x[1] = 0.117
y[1] (analytic) = 2.0186725585445843905704725676912
y[1] (numeric) = 2.0186725585445843905704725676913
absolute error = 1e-31
relative error = 4.9537504027942826257293594163954e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5607
Order of pole = 590.7
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.1MB, time=1.54
x[1] = 0.118
y[1] (analytic) = 2.0232476065715584734904480868393
y[1] (numeric) = 2.0232476065715584734904480868395
absolute error = 2e-31
relative error = 9.8850975703811551784773542574503e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5639
Order of pole = 595.2
TOP MAIN SOLVE Loop
x[1] = 0.119
y[1] (analytic) = 2.0278356234256387122656062962976
y[1] (numeric) = 2.0278356234256387122656062962978
absolute error = 2e-31
relative error = 9.8627323482037672556905314713268e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5669
Order of pole = 599.4
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.1MB, time=1.68
x[1] = 0.12
y[1] (analytic) = 2.0324366762952910685486695477345
y[1] (numeric) = 2.0324366762952910685486695477346
absolute error = 1e-31
relative error = 4.9202024922261873946791059336725e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5696
Order of pole = 603.3
TOP MAIN SOLVE Loop
x[1] = 0.121
y[1] (analytic) = 2.0370508327925660631783817438778
y[1] (numeric) = 2.0370508327925660631783817438777
absolute error = 1e-31
relative error = 4.9090576626853892344939641546108e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.572
Order of pole = 606.9
TOP MAIN SOLVE Loop
memory used=49.5MB, alloc=4.1MB, time=1.82
x[1] = 0.122
y[1] (analytic) = 2.0416781609566448527323199296143
y[1] (numeric) = 2.0416781609566448527323199296143
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5742
Order of pole = 610.3
TOP MAIN SOLVE Loop
x[1] = 0.123
y[1] (analytic) = 2.046318729257419543673297787348
y[1] (numeric) = 2.0463187292574195436732977873478
absolute error = 2e-31
relative error = 9.7736485103949179856384599147401e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5761
Order of pole = 613.4
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.1MB, time=1.97
x[1] = 0.124
y[1] (analytic) = 2.0509726065991081424657176381415
y[1] (numeric) = 2.0509726065991081424657176381416
absolute error = 1e-31
relative error = 4.8757355255864919856037157100032e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5779
Order of pole = 616.3
TOP MAIN SOLVE Loop
x[1] = 0.125
y[1] (analytic) = 2.0556398623239045452189799437286
y[1] (numeric) = 2.0556398623239045452189799437289
absolute error = 3e-31
relative error = 1.4593996034930430995591513885137e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5794
Order of pole = 619
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.1MB, time=2.11
x[1] = 0.126
y[1] (analytic) = 2.0603205662156639756731974626111
y[1] (numeric) = 2.0603205662156639756731974626113
absolute error = 2e-31
relative error = 9.7072272771296992298483427853059e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5807
Order of pole = 621.5
TOP MAIN SOLVE Loop
x[1] = 0.127
y[1] (analytic) = 2.0650147885036242856792517104042
y[1] (numeric) = 2.0650147885036242856792517104041
absolute error = 1e-31
relative error = 4.8425803319531283373432733569089e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5819
Order of pole = 623.8
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.1MB, time=2.25
x[1] = 0.128
y[1] (analytic) = 2.0697225998661635377419619219803
y[1] (numeric) = 2.0697225998661635377419619219804
absolute error = 1e-31
relative error = 4.8315653511473661319473822051105e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5829
Order of pole = 625.9
TOP MAIN SOLVE Loop
x[1] = 0.129
y[1] (analytic) = 2.0744440714345942946931246168256
y[1] (numeric) = 2.0744440714345942946931246168255
absolute error = 1e-31
relative error = 4.8205686225536269854254842543502e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5837
Order of pole = 627.9
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.1MB, time=2.39
x[1] = 0.13
y[1] (analytic) = 2.0791792747969950471417624964508
y[1] (numeric) = 2.0791792747969950471417624964507
absolute error = 1e-31
relative error = 4.8095900729754872176820038075493e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5844
Order of pole = 629.7
TOP MAIN SOLVE Loop
x[1] = 0.131
y[1] (analytic) = 2.0839282820020792150134566588438
y[1] (numeric) = 2.083928282002079215013456658844
absolute error = 2e-31
relative error = 9.5972592592224559263696334524886e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5849
Order of pole = 631.4
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.1MB, time=2.53
x[1] = 0.132
y[1] (analytic) = 2.0886911655631021652405129300577
y[1] (numeric) = 2.0886911655631021652405129300576
absolute error = 1e-31
relative error = 4.7876872200510519035469375296999e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5854
Order of pole = 633
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.1MB, time=2.68
x[1] = 0.133
y[1] (analytic) = 2.093467998461806693501343940472
y[1] (numeric) = 2.093467998461806693501343940472
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5857
Order of pole = 634.4
TOP MAIN SOLVE Loop
x[1] = 0.134
y[1] (analytic) = 2.0982588541524074238322718979919
y[1] (numeric) = 2.098258854152407423832271897992
absolute error = 1e-31
relative error = 4.7658562146468360056640812687606e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5859
Order of pole = 635.7
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.1MB, time=2.82
x[1] = 0.135
y[1] (analytic) = 2.1030638065656145859494378687282
y[1] (numeric) = 2.1030638065656145859494378687282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.586
Order of pole = 637
TOP MAIN SOLVE Loop
x[1] = 0.136
y[1] (analytic) = 2.1078829301126976362241338863224
y[1] (numeric) = 2.1078829301126976362241338863224
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5861
Order of pole = 638.1
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.1MB, time=2.96
x[1] = 0.137
y[1] (analytic) = 2.1127162996895891944531741177715
y[1] (numeric) = 2.1127162996895891944531741177718
absolute error = 3e-31
relative error = 1.4199729516172024363925245534089e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.586
Order of pole = 639.1
TOP MAIN SOLVE Loop
x[1] = 0.138
y[1] (analytic) = 2.11756399068102977485843853979
y[1] (numeric) = 2.1175639906810297748584385397902
absolute error = 2e-31
relative error = 9.4448149326376672153582244912831e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5859
Order of pole = 640.1
TOP MAIN SOLVE Loop
memory used=83.9MB, alloc=4.1MB, time=3.11
x[1] = 0.139
y[1] (analytic) = 2.1224260789647537961380337951145
y[1] (numeric) = 2.1224260789647537961380337951149
absolute error = 4e-31
relative error = 1.8846357193043264781558234935294e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5857
Order of pole = 640.9
TOP MAIN SOLVE Loop
x[1] = 0.14
y[1] (analytic) = 2.1273026409157173618772270978666
y[1] (numeric) = 2.1273026409157173618772270978665
absolute error = 1e-31
relative error = 4.7007885985114963547586745296864e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5854
Order of pole = 641.8
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.1MB, time=3.25
x[1] = 0.141
y[1] (analytic) = 2.1321937534103683092120561535622
y[1] (numeric) = 2.1321937534103683092120561535624
absolute error = 2e-31
relative error = 9.3800105961340094552248299524403e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5851
Order of pole = 642.5
TOP MAIN SOLVE Loop
x[1] = 0.142
y[1] (analytic) = 2.1370994938309590303239674873612
y[1] (numeric) = 2.1370994938309590303239674873615
absolute error = 3e-31
relative error = 1.4037717984866524637434834571815e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5847
Order of pole = 643.2
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.1MB, time=3.40
x[1] = 0.143
y[1] (analytic) = 2.1420199400699025781316849087745
y[1] (numeric) = 2.1420199400699025781316849087747
absolute error = 2e-31
relative error = 9.3369812418026887925379495594303e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5843
Order of pole = 643.8
TOP MAIN SOLVE Loop
x[1] = 0.144
y[1] (analytic) = 2.1469551705341725744384884300015
y[1] (numeric) = 2.1469551705341725744384884300018
absolute error = 3e-31
relative error = 1.3973277323967532344195762093864e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5838
Order of pole = 644.4
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.1MB, time=3.54
x[1] = 0.145
y[1] (analytic) = 2.151905264149747445790953564179
y[1] (numeric) = 2.1519052641497474457909535641789
absolute error = 1e-31
relative error = 4.6470447219948419264636087309521e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5833
Order of pole = 644.9
TOP MAIN SOLVE Loop
x[1] = 0.146
y[1] (analytic) = 2.1568703003660995194107564035924
y[1] (numeric) = 2.1568703003660995194107564035928
absolute error = 4e-31
relative error = 1.8545389582864830484442174102611e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5828
Order of pole = 645.4
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.1MB, time=3.69
x[1] = 0.147
y[1] (analytic) = 2.1618503591607295187762198142381
y[1] (numeric) = 2.1618503591607295187762198142384
absolute error = 3e-31
relative error = 1.3877001186912195654505322586318e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5822
Order of pole = 645.9
TOP MAIN SOLVE Loop
x[1] = 0.148
y[1] (analytic) = 2.1668455210437470057567235231665
y[1] (numeric) = 2.1668455210437470057567235231664
absolute error = 1e-31
relative error = 4.6150036552596992485492711020265e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5816
Order of pole = 646.3
TOP MAIN SOLVE Loop
memory used=103.0MB, alloc=4.1MB, time=3.83
x[1] = 0.149
y[1] (analytic) = 2.1718558670624973236428240086909
y[1] (numeric) = 2.171855867062497323642824008691
absolute error = 1e-31
relative error = 4.6043571084324814468119388741371e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5809
Order of pole = 646.7
TOP MAIN SOLVE Loop
x[1] = 0.15
y[1] (analytic) = 2.176881478806235602969862990075
y[1] (numeric) = 2.1768814788062356029698629900749
absolute error = 1e-31
relative error = 4.5937273560174843176473979165987e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5802
Order of pole = 647
TOP MAIN SOLVE Loop
memory used=106.8MB, alloc=4.1MB, time=3.97
x[1] = 0.151
y[1] (analytic) = 2.1819224384108483997049566188606
y[1] (numeric) = 2.1819224384108483997049566188609
absolute error = 3e-31
relative error = 1.3749342997659344127619768016058e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5795
Order of pole = 647.3
TOP MAIN SOLVE Loop
x[1] = 0.152
y[1] (analytic) = 2.186978828563623543158559224946
y[1] (numeric) = 2.1869788285636235431585592249461
absolute error = 1e-31
relative error = 4.5725179729187671948268771610723e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5788
Order of pole = 647.6
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.1MB, time=4.12
x[1] = 0.153
y[1] (analytic) = 2.1920507325080687788943318240068
y[1] (numeric) = 2.192050732508068778894331824007
absolute error = 2e-31
relative error = 9.1238764246649941339668202196039e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.578
Order of pole = 647.9
TOP MAIN SOLVE Loop
x[1] = 0.154
y[1] (analytic) = 2.1971382340487797999469016248096
y[1] (numeric) = 2.1971382340487797999469016248096
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5772
Order of pole = 648.2
memory used=114.4MB, alloc=4.1MB, time=4.26
TOP MAIN SOLVE Loop
x[1] = 0.155
y[1] (analytic) = 2.2022414175563582678183992853004
y[1] (numeric) = 2.2022414175563582678183992853007
absolute error = 3e-31
relative error = 1.3622484692567662309595186348627e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5764
Order of pole = 648.4
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.1MB, time=4.40
x[1] = 0.156
y[1] (analytic) = 2.2073603679723804330135710030591
y[1] (numeric) = 2.2073603679723804330135710030593
absolute error = 2e-31
relative error = 9.0605957641485795361733415509169e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5756
Order of pole = 648.6
TOP MAIN SOLVE Loop
x[1] = 0.157
y[1] (analytic) = 2.2124951708144169732919894267429
y[1] (numeric) = 2.2124951708144169732919894267431
absolute error = 2e-31
relative error = 9.0395677531074667117335887385003e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5748
Order of pole = 648.8
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.1MB, time=4.55
x[1] = 0.158
y[1] (analytic) = 2.2176459121811046763666798301391
y[1] (numeric) = 2.2176459121811046763666798301394
absolute error = 3e-31
relative error = 1.3527858453514034919043508152556e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.574
Order of pole = 649
TOP MAIN SOLVE Loop
x[1] = 0.159
y[1] (analytic) = 2.2228126787572706024636281212005
y[1] (numeric) = 2.2228126787572706024636281212009
absolute error = 4e-31
relative error = 1.7995218572517404901235260435920e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5731
Order of pole = 649.1
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.1MB, time=4.69
x[1] = 0.16
y[1] (analytic) = 2.2279955578191093709784812200598
y[1] (numeric) = 2.2279955578191093709784812200599
absolute error = 1e-31
relative error = 4.4883392899528835225000812439799e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5722
Order of pole = 649.3
TOP MAIN SOLVE Loop
x[1] = 0.161
y[1] (analytic) = 2.2331946372394142244276692419634
y[1] (numeric) = 2.2331946372394142244276692419636
absolute error = 2e-31
relative error = 8.9557800589756023415685689117333e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5714
Order of pole = 649.4
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.1MB, time=4.84
x[1] = 0.162
y[1] (analytic) = 2.2384100054928625319935997695935
y[1] (numeric) = 2.238410005492862531993599769594
absolute error = 5e-31
relative error = 2.2337283999492662047027404897761e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5705
Order of pole = 649.6
TOP MAIN SOLVE Loop
x[1] = 0.163
y[1] (analytic) = 2.2436417516613564042099711610368
y[1] (numeric) = 2.2436417516613564042099711610368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5696
Order of pole = 649.7
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.1MB, time=4.98
x[1] = 0.164
y[1] (analytic) = 2.2488899654394190997261460277223
y[1] (numeric) = 2.2488899654394190997261460277228
absolute error = 5e-31
relative error = 2.2233190937925818551116674399081e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5687
Order of pole = 649.8
TOP MAIN SOLVE Loop
x[1] = 0.165
y[1] (analytic) = 2.254154737139647914631488298539
y[1] (numeric) = 2.2541547371396479146314882985392
absolute error = 2e-31
relative error = 8.8725053655271639535841858785806e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5678
Order of pole = 649.9
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.1MB, time=5.13
x[1] = 0.166
y[1] (analytic) = 2.2594361576982242545142181155843
y[1] (numeric) = 2.2594361576982242545142181155845
absolute error = 2e-31
relative error = 8.8517659292373103033970451897652e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5668
Order of pole = 650
TOP MAIN SOLVE Loop
x[1] = 0.167
y[1] (analytic) = 2.2647343186804815992773495784526
y[1] (numeric) = 2.2647343186804815992773495784528
absolute error = 2e-31
relative error = 8.8310579457517751827364178123512e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5659
Order of pole = 650.1
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.1MB, time=5.28
x[1] = 0.168
y[1] (analytic) = 2.2700493122865320807393704827587
y[1] (numeric) = 2.2700493122865320807393704827589
absolute error = 2e-31
relative error = 8.8103812951335319342164842565638e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.565
Order of pole = 650.1
TOP MAIN SOLVE Loop
x[1] = 0.169
y[1] (analytic) = 2.2753812313569524032122772249263
y[1] (numeric) = 2.2753812313569524032122772249264
absolute error = 1e-31
relative error = 4.3948679290267211186877141281923e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.564
Order of pole = 650.2
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.1MB, time=5.42
x[1] = 0.17
y[1] (analytic) = 2.2807301693785298475772227636794
y[1] (numeric) = 2.2807301693785298475772227636795
absolute error = 1e-31
relative error = 4.3845607578931065056743457642494e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5631
Order of pole = 650.3
TOP MAIN SOLVE Loop
x[1] = 0.171
y[1] (analytic) = 2.286096220490069109871257144247
y[1] (numeric) = 2.2860962204900691098712571442473
absolute error = 3e-31
relative error = 1.3122807225309579289746794944913e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5621
Order of pole = 650.3
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.1MB, time=5.56
x[1] = 0.172
y[1] (analytic) = 2.2914794794882607360603814020854
y[1] (numeric) = 2.2914794794882607360603814020855
absolute error = 1e-31
relative error = 4.3639928218921805376642009250822e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5612
Order of pole = 650.4
TOP MAIN SOLVE Loop
x[1] = 0.173
y[1] (analytic) = 2.2968800418336119255073972701783
y[1] (numeric) = 2.2968800418336119255073972701785
absolute error = 2e-31
relative error = 8.7074638795824488898744203864243e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5602
Order of pole = 650.4
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=4.1MB, time=5.71
x[1] = 0.174
y[1] (analytic) = 2.3022980036564404866508766602483
y[1] (numeric) = 2.3022980036564404866508766602484
absolute error = 1e-31
relative error = 4.3434863706254796647648224112767e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5593
Order of pole = 650.5
TOP MAIN SOLVE Loop
x[1] = 0.175
y[1] (analytic) = 2.3077334617629327395971163243918
y[1] (numeric) = 2.3077334617629327395971163243922
absolute error = 4e-31
relative error = 1.7333024226048637400121974573499e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5583
Order of pole = 650.5
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.1MB, time=5.85
x[1] = 0.176
y[1] (analytic) = 2.3131865136412661716933659856682
y[1] (numeric) = 2.3131865136412661716933659856682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5573
Order of pole = 650.6
TOP MAIN SOLVE Loop
x[1] = 0.177
y[1] (analytic) = 2.318657257467797663701167041657
y[1] (numeric) = 2.318657257467797663701167041657
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5564
Order of pole = 650.6
memory used=160.2MB, alloc=4.1MB, time=6.00
TOP MAIN SOLVE Loop
x[1] = 0.178
y[1] (analytic) = 2.3241457921133181159266224715189
y[1] (numeric) = 2.3241457921133181159266224715194
absolute error = 5e-31
relative error = 2.1513280349997146652036316867001e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5554
Order of pole = 650.6
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.1MB, time=6.14
x[1] = 0.179
y[1] (analytic) = 2.3296522171493743155932112715882
y[1] (numeric) = 2.3296522171493743155932112715887
absolute error = 5e-31
relative error = 2.1462431015210226143440045452467e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5544
Order of pole = 650.7
TOP MAIN SOLVE Loop
x[1] = 0.18
y[1] (analytic) = 2.335176632854658898865804166096
y[1] (numeric) = 2.3351766328546588988658041660963
absolute error = 3e-31
relative error = 1.2846993918111545372903125014830e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5534
Order of pole = 650.7
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=4.1MB, time=6.28
x[1] = 0.181
y[1] (analytic) = 2.3407191402214692732553416051369
y[1] (numeric) = 2.3407191402214692732553416051369
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5525
Order of pole = 650.7
TOP MAIN SOLVE Loop
x[1] = 0.182
y[1] (analytic) = 2.3462798409622363786557803364655
y[1] (numeric) = 2.3462798409622363786557803364659
absolute error = 4e-31
relative error = 1.7048264789930402942119862983096e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5515
Order of pole = 650.7
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.1MB, time=6.43
x[1] = 0.183
y[1] (analytic) = 2.3518588375161241779920528597323
y[1] (numeric) = 2.3518588375161241779920528597328
absolute error = 5e-31
relative error = 2.1259779372135553834375024448540e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5505
Order of pole = 650.8
TOP MAIN SOLVE Loop
x[1] = 0.184
y[1] (analytic) = 2.3574562330557007813936397149081
y[1] (numeric) = 2.3574562330557007813936397149081
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5495
Order of pole = 650.8
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.1MB, time=6.57
x[1] = 0.185
y[1] (analytic) = 2.3630721314936821209567274281254
y[1] (numeric) = 2.3630721314936821209567274281254
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5485
Order of pole = 650.8
TOP MAIN SOLVE Loop
x[1] = 0.186
y[1] (analytic) = 2.3687066374897491065226910151747
y[1] (numeric) = 2.3687066374897491065226910151747
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5475
Order of pole = 650.8
TOP MAIN SOLVE Loop
memory used=179.2MB, alloc=4.1MB, time=6.71
x[1] = 0.187
y[1] (analytic) = 2.3743598564574392064857532481346
y[1] (numeric) = 2.374359856457439206485753248135
absolute error = 4e-31
relative error = 1.6846646009118545178790468446345e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5466
Order of pole = 650.8
TOP MAIN SOLVE Loop
x[1] = 0.188
y[1] (analytic) = 2.3800318945711134114521672076296
y[1] (numeric) = 2.3800318945711134114521672076297
absolute error = 1e-31
relative error = 4.2016243659633898900659435203751e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5456
Order of pole = 650.8
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.1MB, time=6.86
x[1] = 0.189
y[1] (analytic) = 2.3857228587729995526112592725165
y[1] (numeric) = 2.3857228587729995526112592725167
absolute error = 2e-31
relative error = 8.3832034079122645167843026370257e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5446
Order of pole = 650.9
TOP MAIN SOLVE Loop
x[1] = 0.19
y[1] (analytic) = 2.3914328567803129609493552564749
y[1] (numeric) = 2.3914328567803129609493552564749
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5436
Order of pole = 650.9
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.1MB, time=7.00
x[1] = 0.191
y[1] (analytic) = 2.3971619970924554679452766596989
y[1] (numeric) = 2.3971619970924554679452766596991
absolute error = 2e-31
relative error = 8.3431991764670986547343831994714e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5426
Order of pole = 650.9
TOP MAIN SOLVE Loop
x[1] = 0.192
y[1] (analytic) = 2.4029103889982937631351077789197
y[1] (numeric) = 2.4029103889982937631351077789201
absolute error = 4e-31
relative error = 1.6646480111426411931018044681702e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5416
Order of pole = 650.9
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.1MB, time=7.15
x[1] = 0.193
y[1] (analytic) = 2.4086781425835181389287574987174
y[1] (numeric) = 2.4086781425835181389287574987176
absolute error = 2e-31
relative error = 8.3033094569240576928630266639280e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5406
Order of pole = 650.9
TOP MAIN SOLVE Loop
x[1] = 0.194
y[1] (analytic) = 2.414465368738082668306022710872
y[1] (numeric) = 2.4144653687380826683060227108719
absolute error = 1e-31
relative error = 4.1417036373673429835665183249307e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5396
Order of pole = 650.9
TOP MAIN SOLVE Loop
memory used=194.5MB, alloc=4.1MB, time=7.29
x[1] = 0.195
y[1] (analytic) = 2.4202721791637278765200471915971
y[1] (numeric) = 2.4202721791637278765200471915977
absolute error = 6e-31
relative error = 2.4790600212878407701387699355146e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5386
Order of pole = 650.9
TOP MAIN SOLVE Loop
x[1] = 0.196
y[1] (analytic) = 2.4260986863815869836959991743947
y[1] (numeric) = 2.4260986863815869836959991743949
absolute error = 2e-31
relative error = 8.2436877412555162895309457519277e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5376
Order of pole = 650.9
TOP MAIN SOLVE Loop
memory used=198.3MB, alloc=4.1MB, time=7.43
x[1] = 0.197
y[1] (analytic) = 2.4319450037398768112372987290248
y[1] (numeric) = 2.431945003739876811237298729025
absolute error = 2e-31
relative error = 8.2238701817860760043966396635905e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5366
Order of pole = 650.9
TOP MAIN SOLVE Loop
x[1] = 0.198
y[1] (analytic) = 2.4378112454216744612457476855009
y[1] (numeric) = 2.437811245421674461245747685501
absolute error = 1e-31
relative error = 4.1020403112753195794429279045385e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5356
Order of pole = 650.9
TOP MAIN SOLVE Loop
memory used=202.1MB, alloc=4.1MB, time=7.58
x[1] = 0.199
y[1] (analytic) = 2.4436975264527808947304870962139
y[1] (numeric) = 2.443697526452780894730487096214
absolute error = 1e-31
relative error = 4.0921594803575327469165147352882e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5347
Order of pole = 650.9
TOP MAIN SOLVE Loop
x[1] = 0.2
y[1] (analytic) = 2.4496039627096725512289708424385
y[1] (numeric) = 2.4496039627096725512289708424389
absolute error = 4e-31
relative error = 1.6329170187883471480649362065879e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5337
Order of pole = 650.9
memory used=206.0MB, alloc=4.1MB, time=7.72
TOP MAIN SOLVE Loop
x[1] = 0.201
y[1] (analytic) = 2.4555306709275421695963458982059
y[1] (numeric) = 2.4555306709275421695963458982064
absolute error = 5e-31
relative error = 2.0362197300965987664781702428213e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5327
Order of pole = 650.9
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.1MB, time=7.86
x[1] = 0.202
y[1] (analytic) = 2.4614777687084299871431254975241
y[1] (numeric) = 2.4614777687084299871431254975242
absolute error = 1e-31
relative error = 4.0626001693475105212737731509149e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5317
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.203
y[1] (analytic) = 2.4674453745294465120202975955366
y[1] (numeric) = 2.4674453745294465120202975955371
absolute error = 5e-31
relative error = 2.0263873120001789776843581327567e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5307
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=213.6MB, alloc=4.1MB, time=8.01
x[1] = 0.204
y[1] (analytic) = 2.4734336077510880817716077236633
y[1] (numeric) = 2.4734336077510880817716077236636
absolute error = 3e-31
relative error = 1.2128888321880934375246561765099e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5297
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.205
y[1] (analytic) = 2.4794425886256464393003889110952
y[1] (numeric) = 2.4794425886256464393003889110955
absolute error = 3e-31
relative error = 1.2099493707829299754029690180239e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5287
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=217.4MB, alloc=4.1MB, time=8.15
x[1] = 0.206
y[1] (analytic) = 2.4854724383057135761387968636844
y[1] (numeric) = 2.4854724383057135761387968636849
absolute error = 5e-31
relative error = 2.0116899801183790323308446129536e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5277
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.207
y[1] (analytic) = 2.4915232788527831118665826305112
y[1] (numeric) = 2.4915232788527831118665826305116
absolute error = 4e-31
relative error = 1.6054435589467147036927098897874e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5267
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=221.2MB, alloc=4.2MB, time=8.29
x[1] = 0.208
y[1] (analytic) = 2.4975952332459494978106583862192
y[1] (numeric) = 2.4975952332459494978106583862195
absolute error = 3e-31
relative error = 1.2011553994283974647216284378360e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5257
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.209
y[1] (analytic) = 2.503688425390706352771872656246
y[1] (numeric) = 2.5036884253907063527718726562465
absolute error = 5e-31
relative error = 1.9970536067081663602103918025333e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5247
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=225.0MB, alloc=4.2MB, time=8.44
x[1] = 0.21
y[1] (analytic) = 2.5098029801278452584779272717105
y[1] (numeric) = 2.5098029801278452584779272717104
absolute error = 1e-31
relative error = 3.9843764945607867423838577300295e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5237
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.211
y[1] (analytic) = 2.5159390232424563627576905211968
y[1] (numeric) = 2.5159390232424563627576905211968
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5227
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=228.8MB, alloc=4.2MB, time=8.58
x[1] = 0.212
y[1] (analytic) = 2.5220966814730321590788763877959
y[1] (numeric) = 2.5220966814730321590788763877959
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5217
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.213
y[1] (analytic) = 2.5282760825206758320948946357208
y[1] (numeric) = 2.528276082520675832094894635721
absolute error = 2e-31
relative error = 7.9105284973704778307202488193832e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5207
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=232.7MB, alloc=4.2MB, time=8.72
x[1] = 0.214
y[1] (analytic) = 2.5344773550584155802144994639242
y[1] (numeric) = 2.5344773550584155802144994639246
absolute error = 4e-31
relative error = 1.5782346573413383315775468727510e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5197
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.215
y[1] (analytic) = 2.5407006287406263479466897984269
y[1] (numeric) = 2.5407006287406263479466897984268
absolute error = 1e-31
relative error = 3.9359221967669590065556415289691e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5187
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=236.5MB, alloc=4.2MB, time=8.87
x[1] = 0.216
y[1] (analytic) = 2.5469460342125604228903054533026
y[1] (numeric) = 2.5469460342125604228903054533027
absolute error = 1e-31
relative error = 3.9262708615228673531026277699363e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5177
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.217
y[1] (analytic) = 2.5532137031199883747402362954294
y[1] (numeric) = 2.5532137031199883747402362954295
absolute error = 1e-31
relative error = 3.9166325904408831308149832888091e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5167
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=240.3MB, alloc=4.2MB, time=9.01
x[1] = 0.218
y[1] (analytic) = 2.5595037681189518365775882323619
y[1] (numeric) = 2.5595037681189518365775882323622
absolute error = 3e-31
relative error = 1.1721022009687372691291678867458e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5157
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.219
y[1] (analytic) = 2.5658163628856296520071620660586
y[1] (numeric) = 2.5658163628856296520071620660583
absolute error = 3e-31
relative error = 1.1692185159447920819687575587241e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5147
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=244.1MB, alloc=4.2MB, time=9.16
x[1] = 0.22
y[1] (analytic) = 2.5721516221263189354099942360334
y[1] (numeric) = 2.5721516221263189354099942360335
absolute error = 1e-31
relative error = 3.8877956936820491163419150497190e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5137
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.221
y[1] (analytic) = 2.5785096815875326166994447160583
y[1] (numeric) = 2.5785096815875326166994447160584
absolute error = 1e-31
relative error = 3.8782092118588503347367027004295e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5127
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=247.9MB, alloc=4.2MB, time=9.30
x[1] = 0.222
y[1] (analytic) = 2.5848906780662150665145305370406
y[1] (numeric) = 2.584890678066215066514530537041
absolute error = 4e-31
relative error = 1.5474542246376329016988423129288e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5117
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=251.7MB, alloc=4.2MB, time=9.44
x[1] = 0.223
y[1] (analytic) = 2.5912947494200774227622025221421
y[1] (numeric) = 2.5912947494200774227622025221425
absolute error = 4e-31
relative error = 1.5436298788067956443854586233892e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5107
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.224
y[1] (analytic) = 2.5977220345780542648395361287419
y[1] (numeric) = 2.5977220345780542648395361287422
absolute error = 3e-31
relative error = 1.1548579717411094739750416166488e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5097
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=255.5MB, alloc=4.2MB, time=9.59
x[1] = 0.225
y[1] (analytic) = 2.6041726735508833077360266696581
y[1] (numeric) = 2.604172673550883307736026669658
absolute error = 1e-31
relative error = 3.8399911425092405835784090408977e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5087
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.226
y[1] (analytic) = 2.6106468074418098145442044295684
y[1] (numeric) = 2.6106468074418098145442044295684
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5077
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=259.4MB, alloc=4.2MB, time=9.73
x[1] = 0.227
y[1] (analytic) = 2.6171445784574174527026684708135
y[1] (numeric) = 2.6171445784574174527026684708137
absolute error = 2e-31
relative error = 7.6419163712339831153582267463491e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5067
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.228
y[1] (analytic) = 2.6236661299185873465686283414691
y[1] (numeric) = 2.623666129918587346568628341469
absolute error = 1e-31
relative error = 3.8114605688454350395409312542813e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5057
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=263.2MB, alloc=4.2MB, time=9.88
x[1] = 0.229
y[1] (analytic) = 2.6302116062715871066765911823711
y[1] (numeric) = 2.6302116062715871066765911823713
absolute error = 2e-31
relative error = 7.6039509339519145010332055558615e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5047
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.23
y[1] (analytic) = 2.6367811530992916442955950248698
y[1] (numeric) = 2.6367811530992916442955950248699
absolute error = 1e-31
relative error = 3.7925028356054227900714333063382e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5037
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=267.0MB, alloc=4.2MB, time=10.02
x[1] = 0.231
y[1] (analytic) = 2.6433749171325376086592358723193
y[1] (numeric) = 2.6433749171325376086592358723192
absolute error = 1e-31
relative error = 3.7830426305352600031094686637551e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5027
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.232
y[1] (analytic) = 2.6499930462616133135207513639784
y[1] (numeric) = 2.6499930462616133135207513639782
absolute error = 2e-31
relative error = 7.5471896155404306358730959361945e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5017
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=270.8MB, alloc=4.2MB, time=10.17
x[1] = 0.233
y[1] (analytic) = 2.6566356895478860494899139175538
y[1] (numeric) = 2.6566356895478860494899139175539
absolute error = 1e-31
relative error = 3.7641593235171168471747426059099e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5007
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.234
y[1] (analytic) = 2.6633029972355687089499846338337
y[1] (numeric) = 2.6633029972355687089499846338337
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4997
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=274.6MB, alloc=4.2MB, time=10.31
x[1] = 0.235
y[1] (analytic) = 2.6699951207636276812422516911714
y[1] (numeric) = 2.6699951207636276812422516911718
absolute error = 4e-31
relative error = 1.4981300785508500861668024183498e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4987
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.236
y[1] (analytic) = 2.6767122127778340072537271984501
y[1] (numeric) = 2.6767122127778340072537271984506
absolute error = 5e-31
relative error = 1.8679632334516485826537091557033e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4977
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=278.4MB, alloc=4.2MB, time=10.46
x[1] = 0.237
y[1] (analytic) = 2.6834544271429598145616519727365
y[1] (numeric) = 2.6834544271429598145616519727372
absolute error = 7e-31
relative error = 2.6085779319355954102740831374885e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4967
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.238
y[1] (analytic) = 2.6902219189551220868880555427891
y[1] (numeric) = 2.6902219189551220868880555427892
absolute error = 1e-31
relative error = 3.7171654611616517085513842154616e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4957
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=282.2MB, alloc=4.2MB, time=10.60
x[1] = 0.239
y[1] (analytic) = 2.6970148445542758548104916074388
y[1] (numeric) = 2.6970148445542758548104916074391
absolute error = 3e-31
relative error = 1.1123409298460117338044969134403e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4947
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.24
y[1] (analytic) = 2.7038333615368589284732318434022
y[1] (numeric) = 2.7038333615368589284732318434026
absolute error = 4e-31
relative error = 1.4793811101311361630216449016794e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4937
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=286.1MB, alloc=4.2MB, time=10.75
x[1] = 0.241
y[1] (analytic) = 2.71067762876859032745893627205
y[1] (numeric) = 2.7106776287685903274589362720499
absolute error = 1e-31
relative error = 3.6891144464651118298003259550330e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4927
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.242
y[1] (analytic) = 2.7175478063974245980266840847934
y[1] (numeric) = 2.7175478063974245980266840847936
absolute error = 2e-31
relative error = 7.3595761417398680383038893154597e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4917
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=289.9MB, alloc=4.2MB, time=10.89
x[1] = 0.243
y[1] (analytic) = 2.7244440558666642436110841515543
y[1] (numeric) = 2.7244440558666642436110841515546
absolute error = 3e-31
relative error = 1.1011420820111791689499188534734e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4907
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.244
y[1] (analytic) = 2.7313665399282325308221170882981
y[1] (numeric) = 2.7313665399282325308221170882981
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4897
Order of pole = 651
memory used=293.7MB, alloc=4.2MB, time=11.04
TOP MAIN SOLVE Loop
x[1] = 0.245
y[1] (analytic) = 2.7383154226561089701998139444076
y[1] (numeric) = 2.7383154226561089701998139444079
absolute error = 3e-31
relative error = 1.0955640738750477605504752279674e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4887
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=297.5MB, alloc=4.2MB, time=11.18
x[1] = 0.246
y[1] (analytic) = 2.7452908694599298086755762805264
y[1] (numeric) = 2.7452908694599298086755762805266
absolute error = 2e-31
relative error = 7.2852025344529414934524503395250e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4877
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.247
y[1] (analytic) = 2.7522930470987559090869248846299
y[1] (numeric) = 2.7522930470987559090869248846301
absolute error = 2e-31
relative error = 7.2666680683157550369964471406151e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4867
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=301.3MB, alloc=4.2MB, time=11.33
x[1] = 0.248
y[1] (analytic) = 2.7593221236950104311990837759133
y[1] (numeric) = 2.7593221236950104311990837759132
absolute error = 1e-31
relative error = 3.6240785061401211527735150978638e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4857
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.249
y[1] (analytic) = 2.7663782687485887685197424155707
y[1] (numeric) = 2.766378268748588768519742415571
absolute error = 3e-31
relative error = 1.0844503927357314737194890947656e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4847
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=305.1MB, alloc=4.2MB, time=11.47
x[1] = 0.25
y[1] (analytic) = 2.7734616531511432357676059913693
y[1] (numeric) = 2.77346165315114323576760599137
absolute error = 7e-31
relative error = 2.5239216817895287157915908044759e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4837
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.251
y[1] (analytic) = 2.7805724492005450431862972468585
y[1] (numeric) = 2.7805724492005450431862972468584
absolute error = 1e-31
relative error = 3.5963817460951773486463583810664e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4827
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=309.0MB, alloc=4.2MB, time=11.61
x[1] = 0.252
y[1] (analytic) = 2.7877108306155261359985202548313
y[1] (numeric) = 2.7877108306155261359985202548313
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4817
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.253
y[1] (analytic) = 2.794876972550503520187202901911
y[1] (numeric) = 2.7948769725505035201872029019112
absolute error = 2e-31
relative error = 7.1559500458972704682794089135663e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4807
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=312.8MB, alloc=4.2MB, time=11.76
x[1] = 0.254
y[1] (analytic) = 2.8020710516105887394870352068442
y[1] (numeric) = 2.8020710516105887394870352068445
absolute error = 3e-31
relative error = 1.0706366629338840807040598950907e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4797
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.255
y[1] (analytic) = 2.8092932458667852129882271613147
y[1] (numeric) = 2.8092932458667852129882271613149
absolute error = 2e-31
relative error = 7.1192283074845602938062734842584e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4787
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=316.6MB, alloc=4.2MB, time=11.90
x[1] = 0.256
y[1] (analytic) = 2.8165437348713761881116219395349
y[1] (numeric) = 2.8165437348713761881116219395355
absolute error = 6e-31
relative error = 2.1302704892221400249895539580787e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4777
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.257
y[1] (analytic) = 2.8238226996735061099281143568698
y[1] (numeric) = 2.8238226996735061099281143568701
absolute error = 3e-31
relative error = 1.0623896466116175525093423524475e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4767
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=320.4MB, alloc=4.2MB, time=12.05
x[1] = 0.258
y[1] (analytic) = 2.831130322834958254883643569957
y[1] (numeric) = 2.831130322834958254883643569957
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4757
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.259
y[1] (analytic) = 2.838466788446131524972273605545
y[1] (numeric) = 2.8384667884461315249722736055454
absolute error = 4e-31
relative error = 1.4092114856801721827597658244523e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4747
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=324.2MB, alloc=4.2MB, time=12.19
x[1] = 0.26
y[1] (analytic) = 2.8458322821422193472928935578192
y[1] (numeric) = 2.84583228214221934729289355782
absolute error = 8e-31
relative error = 2.8111284175812168087898212345447e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4737
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.261
y[1] (analytic) = 2.8532269911195936737491480098215
y[1] (numeric) = 2.8532269911195936737491480098218
absolute error = 3e-31
relative error = 1.0514410558070647038139385729370e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4727
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=328.0MB, alloc=4.2MB, time=12.34
x[1] = 0.262
y[1] (analytic) = 2.8606511041523971264270840076125
y[1] (numeric) = 2.8606511041523971264270840076128
absolute error = 3e-31
relative error = 1.0487123003729221146482146077993e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4717
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.263
y[1] (analytic) = 2.8681048116093463859308715950835
y[1] (numeric) = 2.8681048116093463859308715950835
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4707
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=331.8MB, alloc=4.2MB, time=12.48
x[1] = 0.264
y[1] (analytic) = 2.8755883054707499726944913907685
y[1] (numeric) = 2.8755883054707499726944913907684
absolute error = 1e-31
relative error = 3.4775492656494663891574580282355e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4697
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.265
y[1] (analytic) = 2.883101779345743625037640993462
y[1] (numeric) = 2.8831017793457436250376409934626
absolute error = 6e-31
relative error = 2.0810919832880709806052284185322e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4687
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=335.7MB, alloc=4.2MB, time=12.63
x[1] = 0.266
y[1] (analytic) = 2.8906454284897465325189457757622
y[1] (numeric) = 2.8906454284897465325189457757622
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4677
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.267
memory used=339.5MB, alloc=4.2MB, time=12.77
y[1] (analytic) = 2.8982194498221417389810328901005
y[1] (numeric) = 2.8982194498221417389810328901006
absolute error = 1e-31
relative error = 3.4503943449188021762868703230924e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4667
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.268
y[1] (analytic) = 2.9058240419441840866028276392316
y[1] (numeric) = 2.9058240419441840866028276392316
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4657
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=343.3MB, alloc=4.2MB, time=12.92
x[1] = 0.269
y[1] (analytic) = 2.9134594051571391302977833830103
y[1] (numeric) = 2.9134594051571391302977833830104
absolute error = 1e-31
relative error = 3.4323457475669355256885882734157e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4647
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.27
y[1] (analytic) = 2.9211257414806565109464354563209
y[1] (numeric) = 2.9211257414806565109464354563217
absolute error = 8e-31
relative error = 2.7386701936168520244822713553698e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4637
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=347.1MB, alloc=4.2MB, time=13.06
x[1] = 0.271
y[1] (analytic) = 2.9288232546713813362520169983787
y[1] (numeric) = 2.9288232546713813362520169983788
absolute error = 1e-31
relative error = 3.4143405492462931256238851453777e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4627
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.272
y[1] (analytic) = 2.9365521502418071794838109203687
y[1] (numeric) = 2.9365521502418071794838109203695
absolute error = 8e-31
relative error = 2.7242833059652111874361640051319e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4617
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=350.9MB, alloc=4.2MB, time=13.20
x[1] = 0.273
y[1] (analytic) = 2.9443126354793743690499532908705
y[1] (numeric) = 2.9443126354793743690499532908711
absolute error = 6e-31
relative error = 2.0378270730149952070699596670211e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4607
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.274
y[1] (analytic) = 2.9521049194658173057456755989767
y[1] (numeric) = 2.9521049194658173057456755989771
absolute error = 4e-31
relative error = 1.3549653921933774168918175439682e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4597
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=354.7MB, alloc=4.2MB, time=13.35
x[1] = 0.275
y[1] (analytic) = 2.9599292130967646096812296171178
y[1] (numeric) = 2.9599292130967646096812296171184
absolute error = 6e-31
relative error = 2.0270755035126749938625015383258e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4587
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.276
y[1] (analytic) = 2.967785729101595965333374860279
y[1] (numeric) = 2.9677857291015959653333748602791
absolute error = 1e-31
relative error = 3.3695154949839273994909568078897e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4577
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=358.5MB, alloc=4.2MB, time=13.49
x[1] = 0.277
y[1] (analytic) = 2.9756746820635596009133807288213
y[1] (numeric) = 2.9756746820635596009133807288216
absolute error = 3e-31
relative error = 1.0081747235620432035249741036762e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4567
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.278
y[1] (analytic) = 2.9835962884401544073317363797562
y[1] (numeric) = 2.983596288440154407331736379757
absolute error = 8e-31
relative error = 2.6813279098769952964112441202382e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4557
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=362.4MB, alloc=4.2MB, time=13.63
x[1] = 0.279
y[1] (analytic) = 2.9915507665837807724945993684961
y[1] (numeric) = 2.9915507665837807724945993684963
absolute error = 2e-31
relative error = 6.6854957714253063469650500103871e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4547
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.28
y[1] (analytic) = 2.999538336762664278519590818674
y[1] (numeric) = 2.999538336762664278519590818674
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4537
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=366.2MB, alloc=4.2MB, time=13.78
x[1] = 0.281
y[1] (analytic) = 3.0075592211820564827397344097138
y[1] (numeric) = 3.0075592211820564827397344097141
absolute error = 3e-31
relative error = 9.9748659273978136550407547478493e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4527
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.282
y[1] (analytic) = 3.0156136440057170781057647953618
y[1] (numeric) = 3.0156136440057170781057647953617
absolute error = 1e-31
relative error = 3.3160746635688857966129526383489e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4517
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=370.0MB, alloc=4.2MB, time=13.92
x[1] = 0.283
y[1] (analytic) = 3.0237018313776818048310960518308
y[1] (numeric) = 3.0237018313776818048310960518313
absolute error = 5e-31
relative error = 1.6536021998312784487959163458449e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4507
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.284
y[1] (analytic) = 3.0318240114443205628836327647012
y[1] (numeric) = 3.0318240114443205628836327647018
absolute error = 6e-31
relative error = 1.9790066894884442663568640095026e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4497
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=373.8MB, alloc=4.2MB, time=14.07
x[1] = 0.285
y[1] (analytic) = 3.0399804143766902542483294492922
y[1] (numeric) = 3.0399804143766902542483294492925
absolute error = 3e-31
relative error = 9.8684846317179719879051909317887e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4487
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.286
y[1] (analytic) = 3.048171272393186964798797706486
y[1] (numeric) = 3.0481712723931869647987977064862
absolute error = 2e-31
relative error = 6.5613110986042315813936118251864e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4477
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=377.6MB, alloc=4.2MB, time=14.21
x[1] = 0.287
y[1] (analytic) = 3.0563968197825021781610223319826
y[1] (numeric) = 3.056396819782502178161022331983
absolute error = 4e-31
relative error = 1.3087305856720025156150077733306e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4467
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.288
y[1] (analytic) = 3.0646572929268877981639560485021
y[1] (numeric) = 3.0646572929268877981639560485024
absolute error = 3e-31
relative error = 9.7890227625904065508822093133657e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4457
Order of pole = 651
memory used=381.4MB, alloc=4.2MB, time=14.35
TOP MAIN SOLVE Loop
x[1] = 0.289
y[1] (analytic) = 3.0729529303257348423879009579087
y[1] (numeric) = 3.072952930325734842387900957909
absolute error = 3e-31
relative error = 9.7625966554651984588437527903100e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4447
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=385.3MB, alloc=4.2MB, time=14.50
x[1] = 0.29
y[1] (analytic) = 3.0812839726194707569805658384607
y[1] (numeric) = 3.0812839726194707569805658384608
absolute error = 1e-31
relative error = 3.2454003230019623148206872010073e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4437
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.291
y[1] (analytic) = 3.0896506626137803923518791398973
y[1] (numeric) = 3.0896506626137803923518791398973
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4427
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=389.1MB, alloc=4.2MB, time=14.64
x[1] = 0.292
y[1] (analytic) = 3.0980532453041557706223854588106
y[1] (numeric) = 3.0980532453041557706223854588113
absolute error = 7e-31
relative error = 2.2594834387078989901257431554895e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4417
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.293
y[1] (analytic) = 3.1064919679007798688277130115536
y[1] (numeric) = 3.1064919679007798688277130115542
absolute error = 6e-31
relative error = 1.9314390836988114946369878604303e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4407
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=392.9MB, alloc=4.2MB, time=14.78
x[1] = 0.294
y[1] (analytic) = 3.1149670798537497369155603494966
y[1] (numeric) = 3.1149670798537497369155603494969
absolute error = 3e-31
relative error = 9.6309204017040605907445147260787e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4397
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.295
y[1] (analytic) = 3.1234788328786443665553643536315
y[1] (numeric) = 3.1234788328786443665553643536322
absolute error = 7e-31
relative error = 2.2410909036155357247510677236630e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4387
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=396.7MB, alloc=4.2MB, time=14.93
x[1] = 0.296
y[1] (analytic) = 3.1320274809824428257588224980514
y[1] (numeric) = 3.1320274809824428257588224980516
absolute error = 2e-31
relative error = 6.3856400116024760366159569456686e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4377
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.297
y[1] (analytic) = 3.1406132804897982753274166118098
y[1] (numeric) = 3.1406132804897982753274166118108
absolute error = 1.0e-30
relative error = 3.1840914836991447360878012475333e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4367
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=400.5MB, alloc=4.2MB, time=15.07
x[1] = 0.298
y[1] (analytic) = 3.1492364900696735862478419570344
y[1] (numeric) = 3.1492364900696735862478419570353
absolute error = 9e-31
relative error = 2.8578355510547524324702073294698e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4357
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.299
y[1] (analytic) = 3.157897370762344382395788199401
y[1] (numeric) = 3.1578973707623443823957881994011
absolute error = 1e-31
relative error = 3.1666640254321854257337501965670e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4347
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=404.3MB, alloc=4.2MB, time=15.22
x[1] = 0.3
y[1] (analytic) = 3.1665961860067754403320691383761
y[1] (numeric) = 3.1665961860067754403320691383764
absolute error = 3e-31
relative error = 9.4738950714872774716437601580795e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4337
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.301
y[1] (analytic) = 3.1753332016683764876331285589502
y[1] (numeric) = 3.1753332016683764876331285589511
absolute error = 9e-31
relative error = 2.8343482174630492561283896213686e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4327
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=408.1MB, alloc=4.2MB, time=15.36
x[1] = 0.302
y[1] (analytic) = 3.1841086860671435531422190236687
y[1] (numeric) = 3.1841086860671435531422190236687
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4317
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.303
y[1] (analytic) = 3.192922910006192136811139525112
y[1] (numeric) = 3.1929229100061921368111395251127
absolute error = 7e-31
relative error = 2.1923485775566140047114580396506e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4307
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=412.0MB, alloc=4.2MB, time=15.51
x[1] = 0.304
y[1] (analytic) = 3.2017761468006885834797661842998
y[1] (numeric) = 3.2017761468006885834797661843007
absolute error = 9e-31
relative error = 2.8109397994588321833678904641266e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4297
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.305
y[1] (analytic) = 3.210668672307186164067554003459
y[1] (numeric) = 3.21066867230718616406755400346
absolute error = 1.0e-30
relative error = 3.1146159945597877812063845195071e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4287
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=415.8MB, alloc=4.2MB, time=15.65
x[1] = 0.306
y[1] (analytic) = 3.2196007649533724892849995221133
y[1] (numeric) = 3.2196007649533724892849995221142
absolute error = 9e-31
relative error = 2.7953776437030823916561711533726e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4277
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.307
y[1] (analytic) = 3.2285727057682350051724829949692
y[1] (numeric) = 3.2285727057682350051724829949692
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4267
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=419.6MB, alloc=4.2MB, time=15.80
x[1] = 0.308
y[1] (analytic) = 3.2375847784126514465992213916189
y[1] (numeric) = 3.2375847784126514465992213916192
absolute error = 3e-31
relative error = 9.2661666190278532808905923182402e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4257
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.309
y[1] (analytic) = 3.2466372692104122543680880589222
y[1] (numeric) = 3.2466372692104122543680880589225
absolute error = 3e-31
relative error = 9.2403300745993257794695489140280e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4247
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=423.4MB, alloc=4.2MB, time=15.94
x[1] = 0.31
y[1] (analytic) = 3.2557304671796820938362244080823
y[1] (numeric) = 3.2557304671796820938362244080831
absolute error = 8e-31
relative error = 2.4572058653645557155774974356036e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4237
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.311
y[1] (analytic) = 3.2648646640649077480417673537492
y[1] (numeric) = 3.2648646640649077480417673537497
absolute error = 5e-31
relative error = 1.5314570478320434821559662869587e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4227
Order of pole = 651
memory used=427.2MB, alloc=4.2MB, time=16.09
TOP MAIN SOLVE Loop
x[1] = 0.312
y[1] (analytic) = 3.2740401543691797962904250219158
y[1] (numeric) = 3.2740401543691797962904250219167
absolute error = 9e-31
relative error = 2.7488972571058951864639646440099e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4217
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=431.0MB, alloc=4.2MB, time=16.23
x[1] = 0.313
y[1] (analytic) = 3.2832572353870556300705801788258
y[1] (numeric) = 3.2832572353870556300705801788265
absolute error = 7e-31
relative error = 2.1320291095543070141662658008593e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4207
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.314
y[1] (analytic) = 3.292516207237851502102409702984
y[1] (numeric) = 3.2925162072378515021024097029843
absolute error = 3e-31
relative error = 9.1115724606159239488073241895054e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4197
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=434.8MB, alloc=4.2MB, time=16.38
x[1] = 0.315
y[1] (analytic) = 3.3018173728994114513573505574781
y[1] (numeric) = 3.3018173728994114513573505574785
absolute error = 4e-31
relative error = 1.2114540412898416243691554046533e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4187
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.316
y[1] (analytic) = 3.3111610382423610970831900701775
y[1] (numeric) = 3.3111610382423610970831900701787
absolute error = 1.2e-30
relative error = 3.6241064271431118447375724313264e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4177
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=438.7MB, alloc=4.2MB, time=16.52
x[1] = 0.317
y[1] (analytic) = 3.3205475120648544483131381978868
y[1] (numeric) = 3.3205475120648544483131381978879
absolute error = 1.1e-30
relative error = 3.3127067027448563230708102728400e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4167
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.318
y[1] (analytic) = 3.3299771061278220321024909375461
y[1] (numeric) = 3.3299771061278220321024909375463
absolute error = 2e-31
relative error = 6.0060472978015407501397195822308e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4157
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=442.5MB, alloc=4.2MB, time=16.67
x[1] = 0.319
y[1] (analytic) = 3.339450135190728803904026265396
y[1] (numeric) = 3.3394501351907288039040262653968
absolute error = 8e-31
relative error = 2.3956039695568292473571217457960e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4147
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.32
y[1] (analytic) = 3.3489669170478504671453261014048
y[1] (numeric) = 3.348966917047850467145326101405
absolute error = 2e-31
relative error = 5.9719909140309484415775660848239e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4137
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=446.3MB, alloc=4.2MB, time=16.81
x[1] = 0.321
y[1] (analytic) = 3.3585277725650769962922209694433
y[1] (numeric) = 3.358527772565076996292220969444
absolute error = 7e-31
relative error = 2.0842465729124362908636638707605e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4127
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.322
y[1] (analytic) = 3.3681330257172523285591952932284
y[1] (numeric) = 3.3681330257172523285591952932295
absolute error = 1.1e-30
relative error = 3.2659042609095056641984202432709e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4117
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=450.1MB, alloc=4.2MB, time=16.96
x[1] = 0.323
y[1] (analytic) = 3.3777830036260593640488794673363
y[1] (numeric) = 3.3777830036260593640488794673372
absolute error = 9e-31
relative error = 2.6644695619400284727302327879288e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4107
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.324
y[1] (analytic) = 3.3874780365984595925600886040926
y[1] (numeric) = 3.3874780365984595925600886040937
absolute error = 1.1e-30
relative error = 3.2472535264156765082098272001159e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4097
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=453.9MB, alloc=4.2MB, time=17.11
x[1] = 0.325
y[1] (analytic) = 3.3972184581656968476911057791988
y[1] (numeric) = 3.3972184581656968476911057791993
absolute error = 5e-31
relative error = 1.4717923093764518377876743608700e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4087
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.326
y[1] (analytic) = 3.4070046051228748752784406512474
y[1] (numeric) = 3.4070046051228748752784406512477
absolute error = 3e-31
relative error = 8.8053887437930360403279365377805e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4077
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=457.7MB, alloc=4.2MB, time=17.25
x[1] = 0.327
y[1] (analytic) = 3.4168368175691185937501205730192
y[1] (numeric) = 3.4168368175691185937501205730197
absolute error = 5e-31
relative error = 1.4633417593402105382864328961272e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4067
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.328
y[1] (analytic) = 3.4267154389483291187383730097989
y[1] (numeric) = 3.4267154389483291187383730097996
absolute error = 7e-31
relative error = 2.0427724813205745311747884955922e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4057
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=461.5MB, alloc=4.2MB, time=17.40
x[1] = 0.329
y[1] (analytic) = 3.4366408160905428233937812910488
y[1] (numeric) = 3.4366408160905428233937812910491
absolute error = 3e-31
relative error = 8.7294546056539679220629503454104e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4047
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.33
y[1] (analytic) = 3.4466132992539049093789324540805
y[1] (numeric) = 3.4466132992539049093789324540813
absolute error = 8e-31
relative error = 2.3211191118341519700182766165610e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4037
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=465.4MB, alloc=4.2MB, time=17.54
x[1] = 0.331
y[1] (analytic) = 3.4566332421672681716044489536479
y[1] (numeric) = 3.4566332421672681716044489536485
absolute error = 6e-31
relative error = 1.7357930621063144506488516475795e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4027
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.332
y[1] (analytic) = 3.4667010020734278525173463758255
y[1] (numeric) = 3.4667010020734278525173463758261
absolute error = 6e-31
relative error = 1.7307520886316444405296498105660e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4017
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=469.2MB, alloc=4.2MB, time=17.69
x[1] = 0.333
y[1] (analytic) = 3.4768169397730036992772367696892
y[1] (numeric) = 3.4768169397730036992772367696897
absolute error = 5e-31
relative error = 1.4380969969406680060601771538519e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4007
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.334
y[1] (analytic) = 3.4869814196689805595795535832816
y[1] (numeric) = 3.4869814196689805595795535832825
absolute error = 9e-31
relative error = 2.5810289522145979084313696554997e-29 %
Correct digits = 30
h = 0.001
memory used=473.0MB, alloc=4.2MB, time=17.83
Real estimate of pole used for equation 1
Radius of convergence = 0.3997
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.335
y[1] (analytic) = 3.4971948098119190793295596480164
y[1] (numeric) = 3.4971948098119190793295596480168
absolute error = 4e-31
relative error = 1.1437738580582881627524731455443e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3987
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=476.8MB, alloc=4.2MB, time=17.97
x[1] = 0.336
y[1] (analytic) = 3.5074574819458482979626623082224
y[1] (numeric) = 3.507457481945848297962662308223
absolute error = 6e-31
relative error = 1.7106408362422550138434130770750e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3977
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.337
y[1] (analytic) = 3.5177698115548521750752484592502
y[1] (numeric) = 3.5177698115548521750752484592505
absolute error = 3e-31
relative error = 8.5281304937744115077357218060584e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3967
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=480.6MB, alloc=4.2MB, time=18.12
x[1] = 0.338
y[1] (analytic) = 3.5281321779103623253092226287058
y[1] (numeric) = 3.528132177910362325309222628707
absolute error = 1.2e-30
relative error = 3.4012331156786038721848299906516e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3957
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.339
y[1] (analytic) = 3.5385449641191694872597555314787
y[1] (numeric) = 3.5385449641191694872597555314791
absolute error = 4e-31
relative error = 1.1304081311838573665818652714567e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3947
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=484.4MB, alloc=4.2MB, time=18.26
x[1] = 0.34
y[1] (analytic) = 3.5490085571721665066903307802814
y[1] (numeric) = 3.549008557172166506690330780282
absolute error = 6e-31
relative error = 1.6906129989105385709590749169242e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3937
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.341
y[1] (analytic) = 3.5595233479938358746868625094126
y[1] (numeric) = 3.5595233479938358746868625094138
absolute error = 1.2e-30
relative error = 3.3712378953106899898461048053910e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3927
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=488.3MB, alloc=4.2MB, time=18.41
x[1] = 0.342
y[1] (analytic) = 3.5700897314924951277123631933895
y[1] (numeric) = 3.5700897314924951277123631933902
absolute error = 7e-31
relative error = 1.9607350309017618220044487780815e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3917
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.343
y[1] (analytic) = 3.580708106611313688988478228021
y[1] (numeric) = 3.5807081066113136889884782280221
absolute error = 1.1e-30
relative error = 3.0720180680714870038524054034286e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3907
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=492.1MB, alloc=4.2MB, time=18.55
x[1] = 0.344
y[1] (analytic) = 3.5913788763801150093876029985426
y[1] (numeric) = 3.5913788763801150093876029985433
absolute error = 7e-31
relative error = 1.9491120934184369909716983841017e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3897
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.345
y[1] (analytic) = 3.6021024479679781512311455150765
y[1] (numeric) = 3.6021024479679781512311455150772
absolute error = 7e-31
relative error = 1.9433095257878763041072322382069e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3887
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=495.9MB, alloc=4.2MB, time=18.69
x[1] = 0.346
y[1] (analytic) = 3.6128792327366532502222726923092
y[1] (numeric) = 3.6128792327366532502222726923103
absolute error = 1.1e-30
relative error = 3.0446630765645086054227152317833e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3877
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.347
y[1] (analytic) = 3.62370964629480558936639607708
y[1] (numeric) = 3.6237096462948055893663960770801
absolute error = 1e-31
relative error = 2.7596029969522711621984662682764e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3867
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=499.7MB, alloc=4.2MB, time=18.84
x[1] = 0.348
y[1] (analytic) = 3.6345941085531033243258113575595
y[1] (numeric) = 3.6345941085531033243258113575603
absolute error = 8e-31
relative error = 2.2010710855371749987748470273325e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3857
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.349
y[1] (analytic) = 3.6455330437801642123974386924357
y[1] (numeric) = 3.6455330437801642123974386924364
absolute error = 7e-31
relative error = 1.9201581540847828562776040803292e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3847
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=503.5MB, alloc=4.2MB, time=18.98
x[1] = 0.35
y[1] (analytic) = 3.656526880659377017380843924038
y[1] (numeric) = 3.6565268806593770173808439240392
absolute error = 1.2e-30
relative error = 3.2818027575490036288465925664917e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3837
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.351
y[1] (analytic) = 3.6675760523466135902093358315811
y[1] (numeric) = 3.6675760523466135902093358315812
absolute error = 1e-31
relative error = 2.7265964924167643683565101384225e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3827
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=507.3MB, alloc=4.2MB, time=19.12
x[1] = 0.352
y[1] (analytic) = 3.6786809965288479605471374553849
y[1] (numeric) = 3.6786809965288479605471374553863
absolute error = 1.4e-30
relative error = 3.8057118878234357860842847668617e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3817
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.353
y[1] (analytic) = 3.6898421554836991178133239865616
y[1] (numeric) = 3.6898421554836991178133239865618
absolute error = 2e-31
relative error = 5.4202860602795114454826707549981e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3807
Order of pole = 651
memory used=511.1MB, alloc=4.2MB, time=19.27
TOP MAIN SOLVE Loop
x[1] = 0.354
y[1] (analytic) = 3.7010599761399145114871877469629
y[1] (numeric) = 3.7010599761399145114871877469637
absolute error = 8e-31
relative error = 2.1615429232637673899270424130171e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3797
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=515.0MB, alloc=4.2MB, time=19.41
x[1] = 0.355
y[1] (analytic) = 3.712334910138811660294778794681
y[1] (numeric) = 3.7123349101388116602947787946815
absolute error = 5e-31
relative error = 1.3468612399017199542221684636202e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3787
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.356
y[1] (analytic) = 3.7236674138966956281936812031326
y[1] (numeric) = 3.7236674138966956281936812031328
absolute error = 2e-31
relative error = 5.3710489624718274689096958322585e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3777
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=518.8MB, alloc=4.2MB, time=19.55
x[1] = 0.357
y[1] (analytic) = 3.735057948668270502190180032619
y[1] (numeric) = 3.7350579486682705021901800326203
absolute error = 1.3e-30
relative error = 3.4805350221233197083653760138517e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3767
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.358
y[1] (analytic) = 3.7465069806110633931740750506632
y[1] (numeric) = 3.7465069806110633931740750506647
absolute error = 1.5e-30
relative error = 4.0037293611430740084272421258315e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3757
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=522.6MB, alloc=4.2MB, time=19.70
x[1] = 0.359
y[1] (analytic) = 3.7580149808508798763826029989864
y[1] (numeric) = 3.7580149808508798763826029989877
absolute error = 1.3e-30
relative error = 3.4592730647009220177013800108974e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3747
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.36
y[1] (analytic) = 3.7695824255483101930544361145925
y[1] (numeric) = 3.7695824255483101930544361145933
absolute error = 8e-31
relative error = 2.1222509808460676264380467178322e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3737
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=526.4MB, alloc=4.2MB, time=19.84
x[1] = 0.361
y[1] (analytic) = 3.7812097959663059495630514799015
y[1] (numeric) = 3.7812097959663059495630514799023
absolute error = 8e-31
relative error = 2.1157249747248056013470375640626e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3727
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.362
y[1] (analytic) = 3.7928975785388474750889962093614
y[1] (numeric) = 3.7928975785388474750889962093616
absolute error = 2e-31
relative error = 5.2730134642087216436564818991038e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3717
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=530.2MB, alloc=4.2MB, time=19.99
x[1] = 0.363
y[1] (analytic) = 3.8046462649407224339735966860758
y[1] (numeric) = 3.8046462649407224339735966860774
absolute error = 1.6e-30
relative error = 4.2053843868318951198625644841677e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3707
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.364
y[1] (analytic) = 3.816456352158436734571425244237
y[1] (numeric) = 3.8164563521584367345714252442382
absolute error = 1.2e-30
relative error = 3.1442780665402539498381265969042e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3697
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=534.0MB, alloc=4.2MB, time=20.13
x[1] = 0.365
y[1] (analytic) = 3.8283283425622792329726163739788
y[1] (numeric) = 3.8283283425622792329726163739798
absolute error = 1.0e-30
relative error = 2.6121061479557039934492669956238e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3687
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.366
y[1] (analytic) = 3.8402627439795621976947821485225
y[1] (numeric) = 3.8402627439795621976947821485226
absolute error = 1e-31
relative error = 2.6039884941927868782431867118922e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3677
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=537.8MB, alloc=4.2MB, time=20.28
x[1] = 0.367
y[1] (analytic) = 3.8522600697690599806525537331091
y[1] (numeric) = 3.8522600697690599806525537331101
absolute error = 1.0e-30
relative error = 2.5958787358298714981297134698933e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3667
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.368
y[1] (analytic) = 3.8643208388966688307145795030017
y[1] (numeric) = 3.8643208388966688307145795030026
absolute error = 9e-31
relative error = 2.3289991631672222563078010813395e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3657
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=541.7MB, alloc=4.2MB, time=20.42
x[1] = 0.369
y[1] (analytic) = 3.8764455760123112892765154300739
y[1] (numeric) = 3.8764455760123112892765154300741
absolute error = 2e-31
relative error = 5.1593656115698505443102492367535e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3647
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.37
y[1] (analytic) = 3.8886348115281091228473053242345
y[1] (numeric) = 3.8886348115281091228473053242358
absolute error = 1.3e-30
relative error = 3.3430755599524697302364495876976e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3637
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=545.5MB, alloc=4.2MB, time=20.56
x[1] = 0.371
y[1] (analytic) = 3.9008890816978492760081265250395
y[1] (numeric) = 3.9008890816978492760081265250408
absolute error = 1.3e-30
relative error = 3.3325736076406951599411935629015e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3627
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.372
y[1] (analytic) = 3.9132089286977678696124691918051
y[1] (numeric) = 3.9132089286977678696124691918061
absolute error = 1.0e-30
relative error = 2.5554475066905732147379028509772e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3617
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=549.3MB, alloc=4.2MB, time=20.71
x[1] = 0.373
y[1] (analytic) = 3.9255949007086778241164093686376
y[1] (numeric) = 3.9255949007086778241164093686384
absolute error = 8e-31
relative error = 2.0379076808347646923516995876993e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3607
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=553.1MB, alloc=4.2MB, time=20.85
x[1] = 0.374
y[1] (analytic) = 3.9380475519994662568358587531706
y[1] (numeric) = 3.9380475519994662568358587531711
absolute error = 5e-31
relative error = 1.2696647092190007346207121232688e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3597
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.375
y[1] (analytic) = 3.9505674430119883851095780318076
y[1] (numeric) = 3.9505674430119883851095780318088
absolute error = 1.2e-30
relative error = 3.0375383215457701074402865325328e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3587
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=556.9MB, alloc=4.2MB, time=21.00
x[1] = 0.376
y[1] (analytic) = 3.9631551404473852652020818667935
y[1] (numeric) = 3.963155140447385265202081866794
absolute error = 5e-31
relative error = 1.2616210627160988015907511958627e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3577
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.377
y[1] (analytic) = 3.9758112173538533097206044139591
y[1] (numeric) = 3.9758112173538533097206044139605
absolute error = 1.4e-30
relative error = 3.5212939535187136829410104770864e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3567
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=560.7MB, alloc=4.2MB, time=21.14
x[1] = 0.378
y[1] (analytic) = 3.9885362532158941547691182367095
y[1] (numeric) = 3.9885362532158941547691182367104
absolute error = 9e-31
relative error = 2.2564668912670509924397069787165e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3557
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.379
y[1] (analytic) = 4.0013308340450740924572420032894
y[1] (numeric) = 4.0013308340450740924572420032906
absolute error = 1.2e-30
relative error = 2.9990022064406041305774776233213e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3547
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=564.5MB, alloc=4.2MB, time=21.29
x[1] = 0.38
y[1] (analytic) = 4.0141955524723229451735666706111
y[1] (numeric) = 4.0141955524723229451735666706114
absolute error = 3e-31
relative error = 7.4734774646250480208842644337092e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3537
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.381
y[1] (analytic) = 4.027131007841802935686369790984
y[1] (numeric) = 4.0271310078418029356863697909841
absolute error = 1e-31
relative error = 2.4831573595513951068635848622250e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3527
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=568.4MB, alloc=4.2MB, time=21.43
x[1] = 0.382
y[1] (analytic) = 4.0401378063063788021293072585666
y[1] (numeric) = 4.040137806306378802129307258568
absolute error = 1.4e-30
relative error = 3.4652283340798320021215845929592e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3517
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.383
y[1] (analytic) = 4.053216560924721119759943207241
y[1] (numeric) = 4.0532165609247211197599432072414
absolute error = 4e-31
relative error = 9.8687053599904861064045006901245e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3507
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=572.2MB, alloc=4.2MB, time=21.58
x[1] = 0.384
y[1] (analytic) = 4.0663678917600755225549277095736
y[1] (numeric) = 4.0663678917600755225549277095745
absolute error = 9e-31
relative error = 2.2132773619025564090538709664335e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3497
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.385
y[1] (analytic) = 4.0795924259807312677533733598711
y[1] (numeric) = 4.0795924259807312677533733598727
absolute error = 1.6e-30
relative error = 3.9219604140120960223342340430747e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3487
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=576.0MB, alloc=4.2MB, time=21.72
x[1] = 0.386
y[1] (analytic) = 4.0928907979622233559222751040214
y[1] (numeric) = 4.0928907979622233559222751040221
absolute error = 7e-31
relative error = 1.7102826206565721174740372122498e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3477
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.387
y[1] (analytic) = 4.1062636493913032085546426509912
y[1] (numeric) = 4.1062636493913032085546426509927
absolute error = 1.5e-30
relative error = 3.6529558939118637771628615885263e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3467
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=579.8MB, alloc=4.2MB, time=21.87
x[1] = 0.388
y[1] (analytic) = 4.1197116293717137152001695658256
y[1] (numeric) = 4.1197116293717137152001695658261
absolute error = 5e-31
relative error = 1.2136771817600584649354099718362e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3457
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.389
y[1] (analytic) = 4.1332353945318052932659843605638
y[1] (numeric) = 4.1332353945318052932659843605637
absolute error = 1e-31
relative error = 2.4194121663696717592108392183595e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3447
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=583.6MB, alloc=4.2MB, time=22.01
x[1] = 0.39
y[1] (analytic) = 4.1468356091340304565266355508052
y[1] (numeric) = 4.1468356091340304565266355508067
absolute error = 1.5e-30
relative error = 3.6172159723332748327117814291507e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3437
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.391
y[1] (analytic) = 4.1605129451863552636830242250216
y[1] (numeric) = 4.1605129451863552636830242250228
absolute error = 1.2e-30
relative error = 2.8842597434731699927386539105006e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3427
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=587.4MB, alloc=4.2MB, time=22.16
x[1] = 0.392
y[1] (analytic) = 4.174268082555626916665027793117
y[1] (numeric) = 4.1742680825556269166650277931173
absolute error = 3e-31
relative error = 7.1868886728599840814641749766558e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3417
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.393
y[1] (analytic) = 4.1881017090829377004587350435689
y[1] (numeric) = 4.1881017090829377004587350435701
absolute error = 1.2e-30
relative error = 2.8652599276600715263057409544925e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3407
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=591.3MB, alloc=4.2MB, time=22.30
x[1] = 0.394
y[1] (analytic) = 4.2020145207010264027551250694686
y[1] (numeric) = 4.2020145207010264027551250694694
absolute error = 8e-31
relative error = 1.9038487279347506335761022000556e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3397
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.395
y[1] (analytic) = 4.2160072215537593233839487947538
y[1] (numeric) = 4.216007221553759323383948794755
absolute error = 1.2e-30
relative error = 2.8462949348501217006635283442802e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3387
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=595.1MB, alloc=4.2MB, time=22.44
x[1] = 0.396
y[1] (analytic) = 4.2300805241177339810592838720153
y[1] (numeric) = 4.2300805241177339810592838720159
absolute error = 6e-31
relative error = 1.4184127147913850503103339163939e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3377
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.397
y[1] (analytic) = 4.2442351493260496491908354570254
y[1] (numeric) = 4.244235149326049649190835457026
absolute error = 6e-31
relative error = 1.4136822746385180059887414356122e-29 %
Correct digits = 30
h = 0.001
memory used=598.9MB, alloc=4.2MB, time=22.59
Real estimate of pole used for equation 1
Radius of convergence = 0.3367
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.398
y[1] (analytic) = 4.2584718266942899042018520775158
y[1] (numeric) = 4.2584718266942899042018520775173
absolute error = 1.5e-30
relative error = 3.5223903340095597834393123436229e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3357
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=602.7MB, alloc=4.2MB, time=22.74
x[1] = 0.399
y[1] (analytic) = 4.2727912944487634497609277954874
y[1] (numeric) = 4.272791294448763449760927795488
absolute error = 6e-31
relative error = 1.4042342783733052094551118861376e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3347
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.4
y[1] (analytic) = 4.2871942996570505894284231569851
y[1] (numeric) = 4.287194299657050589428423156985
absolute error = 1e-31
relative error = 2.3325278261356008621104496679246e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3337
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=606.5MB, alloc=4.2MB, time=22.88
x[1] = 0.401
y[1] (analytic) = 4.3016815983609038593142312532121
y[1] (numeric) = 4.3016815983609038593142312532127
absolute error = 6e-31
relative error = 1.3948033723105440496966833142190e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3327
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.402
y[1] (analytic) = 4.3162539557115525023466476391175
y[1] (numeric) = 4.3162539557115525023466476391174
absolute error = 1e-31
relative error = 2.3168238251522107692378847497812e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3317
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=610.3MB, alloc=4.2MB, time=23.03
x[1] = 0.403
y[1] (analytic) = 4.3309121461074616675967662650088
y[1] (numeric) = 4.330912146107461667596766265009
absolute error = 2e-31
relative error = 4.6179648363395237982700300583117e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3307
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.404
y[1] (analytic) = 4.3456569533345984527548917478896
y[1] (numeric) = 4.34565695333459845275489174789
absolute error = 4e-31
relative error = 9.2045921777848527978534638804223e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3297
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=614.1MB, alloc=4.2MB, time=23.17
x[1] = 0.405
y[1] (analytic) = 4.3604891707092581763130247472204
y[1] (numeric) = 4.3604891707092581763130247472217
absolute error = 1.3e-30
relative error = 2.9813168869504328161765189875398e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3287
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.406
y[1] (analytic) = 4.3754096012235055693021386603878
y[1] (numeric) = 4.3754096012235055693021386603873
absolute error = 5e-31
relative error = 1.1427501550030513305618025987954e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3277
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=618.0MB, alloc=4.2MB, time=23.32
x[1] = 0.407
y[1] (analytic) = 4.390419057693286915631052905481
y[1] (numeric) = 4.3904190576932869156310529054813
absolute error = 3e-31
relative error = 6.8330607183000682775803737588267e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3267
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.408
y[1] (analytic) = 4.4055183629092705462775648683032
y[1] (numeric) = 4.4055183629092705462775648683035
absolute error = 3e-31
relative error = 6.8096413472191070377973809381155e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3257
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=621.8MB, alloc=4.2MB, time=23.46
x[1] = 0.409
y[1] (analytic) = 4.4207083497904745069318178352082
y[1] (numeric) = 4.4207083497904745069318178352094
absolute error = 1.2e-30
relative error = 2.7144971010287879189146707415277e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3247
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.41
y[1] (analytic) = 4.4359898615407416723650735259643
y[1] (numeric) = 4.4359898615407416723650735259637
absolute error = 6e-31
relative error = 1.3525729740770945887429634570147e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3237
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=625.6MB, alloc=4.2MB, time=23.61
x[1] = 0.411
y[1] (analytic) = 4.4513637518081240750127119076597
y[1] (numeric) = 4.4513637518081240750127119076598
absolute error = 1e-31
relative error = 2.2465025456385236238340759852241e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3227
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.412
y[1] (analytic) = 4.4668308848472397512786520323279
y[1] (numeric) = 4.4668308848472397512786520323276
absolute error = 3e-31
relative error = 6.7161709886462298763927122692896e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3217
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=629.4MB, alloc=4.2MB, time=23.75
x[1] = 0.413
y[1] (analytic) = 4.4823921356846669881929565284983
y[1] (numeric) = 4.4823921356846669881929565284978
absolute error = 5e-31
relative error = 1.1154758103813847907584015524888e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3207
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.414
y[1] (analytic) = 4.4980483902874424766334790495758
y[1] (numeric) = 4.4980483902874424766334790495759
absolute error = 1e-31
relative error = 2.2231863982594819962944930429947e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3197
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=633.2MB, alloc=4.2MB, time=23.90
x[1] = 0.415
y[1] (analytic) = 4.5138005457347315467509062253173
y[1] (numeric) = 4.5138005457347315467509062253182
absolute error = 9e-31
relative error = 1.9938851769833861057038115799768e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3187
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.416
y[1] (analytic) = 4.5296495103927403779575968896033
y[1] (numeric) = 4.5296495103927403779575968896047
absolute error = 1.4e-30
relative error = 3.0907468597468016703419919586672e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3177
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=637.0MB, alloc=4.2MB, time=24.04
x[1] = 0.417
y[1] (analytic) = 4.5455962040929418413475205615705
y[1] (numeric) = 4.5455962040929418413475205615705
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3167
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.418
y[1] (analytic) = 4.5616415583136884482526642209161
y[1] (numeric) = 4.5616415583136884482526642209158
absolute error = 3e-31
relative error = 6.5765798597928774106831846468857e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3157
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=640.8MB, alloc=4.2MB, time=24.19
x[1] = 0.419
y[1] (analytic) = 4.5777865163652877464098461293724
y[1] (numeric) = 4.5777865163652877464098461293728
absolute error = 4e-31
relative error = 8.7378473978641452697138112294506e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3147
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=644.7MB, alloc=4.2MB, time=24.33
x[1] = 0.42
y[1] (analytic) = 4.5940320335786174265663637352369
y[1] (numeric) = 4.5940320335786174265663637352371
absolute error = 2e-31
relative error = 4.3534742147674101673440072904150e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3137
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.421
y[1] (analytic) = 4.610379077497359379006958756356
y[1] (numeric) = 4.6103790774973593790069587563557
absolute error = 3e-31
relative error = 6.5070571195383841344514195302332e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3127
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=648.5MB, alloc=4.2MB, time=24.47
x[1] = 0.422
y[1] (analytic) = 4.6268286280739339732123307351219
y[1] (numeric) = 4.6268286280739339732123307351224
absolute error = 5e-31
relative error = 1.0806538132105857995314291739123e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3117
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.423
y[1] (analytic) = 4.6433816778692179264978059251744
y[1] (numeric) = 4.6433816778692179264978059251745
absolute error = 1e-31
relative error = 2.1536028467487209320461176232337e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3107
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=652.3MB, alloc=4.2MB, time=24.62
x[1] = 0.424
y[1] (analytic) = 4.6600392322561312809319511331586
y[1] (numeric) = 4.660039232256131280931951133158
absolute error = 6e-31
relative error = 1.2875428083241982481338048676161e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3097
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.425
y[1] (analytic) = 4.6768023096271812240688727596621
y[1] (numeric) = 4.6768023096271812240688727596633
absolute error = 1.2e-30
relative error = 2.5658557290946512537402800554999e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3087
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=656.1MB, alloc=4.2MB, time=24.76
x[1] = 0.426
y[1] (analytic) = 4.6936719416060527700850446322195
y[1] (numeric) = 4.69367194160605277008504463222
absolute error = 5e-31
relative error = 1.0652640538591049708999390106690e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3077
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.427
y[1] (analytic) = 4.7106491732633386659053288080635
y[1] (numeric) = 4.7106491732633386659053288080642
absolute error = 7e-31
relative error = 1.4859947626179717887621765240954e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3067
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=659.9MB, alloc=4.2MB, time=24.91
x[1] = 0.428
y[1] (analytic) = 4.7277350633365033040230080909884
y[1] (numeric) = 4.7277350633365033040230080909884
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3057
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.429
y[1] (analytic) = 4.7449306844541779122338016982065
y[1] (numeric) = 4.7449306844541779122338016982079
absolute error = 1.4e-30
relative error = 2.9505172848716666773434453165414e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3047
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=663.7MB, alloc=4.2MB, time=25.05
x[1] = 0.43
y[1] (analytic) = 4.7622371233648868527648212392127
y[1] (numeric) = 4.762237123364886852764821239212
absolute error = 7e-31
relative error = 1.4698974071778184660561924016609e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3037
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.431
y[1] (analytic) = 4.7796554811703075017225061115617
y[1] (numeric) = 4.779655481170307501722506111563
absolute error = 1.3e-30
relative error = 2.7198613061577663982088499982160e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3027
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=667.5MB, alloc=4.2MB, time=25.19
x[1] = 0.432
y[1] (analytic) = 4.797186873563168896933844904337
y[1] (numeric) = 4.7971868735631688969338449043361
absolute error = 9e-31
relative error = 1.8760995219090017512662350047070e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3017
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.433
y[1] (analytic) = 4.8148324310698971407301026654177
y[1] (numeric) = 4.8148324310698971407301026654173
absolute error = 4e-31
relative error = 8.3076619119456367610818358819892e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3007
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=671.4MB, alloc=4.2MB, time=25.34
x[1] = 0.434
y[1] (analytic) = 4.8325932992981184267353626106778
y[1] (numeric) = 4.8325932992981184267353626106785
absolute error = 7e-31
relative error = 1.4484976422527990931938163564621e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2997
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.435
y[1] (analytic) = 4.8504706391891335290869136419764
y[1] (numeric) = 4.8504706391891335290869136419773
absolute error = 9e-31
relative error = 1.8554900481790267402136630583364e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2987
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=675.2MB, alloc=4.2MB, time=25.48
x[1] = 0.436
y[1] (analytic) = 4.8684656272754806516482874737115
y[1] (numeric) = 4.8684656272754806516482874737119
absolute error = 4e-31
relative error = 8.2161409902743906393333574442438e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2977
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.437
y[1] (analytic) = 4.886579455943706686704148307505
y[1] (numeric) = 4.8865794559437066867041483075054
absolute error = 4e-31
relative error = 8.1856849685206058641593229759259e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2967
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=679.0MB, alloc=4.2MB, time=25.62
x[1] = 0.438
y[1] (analytic) = 4.9048133337024701804873917568064
y[1] (numeric) = 4.9048133337024701804873917568076
absolute error = 1.2e-30
relative error = 2.4465762881421675325748015765646e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2957
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=682.8MB, alloc=4.2MB, time=25.77
x[1] = 0.439
y[1] (analytic) = 4.9231684854561026499379798669934
y[1] (numeric) = 4.9231684854561026499379798669947
absolute error = 1.3e-30
relative error = 2.6405758889634317155979767182941e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2947
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.44
y[1] (analytic) = 4.9416461527837583447074070527968
y[1] (numeric) = 4.9416461527837583447074070527962
absolute error = 6e-31
relative error = 1.2141703016554601528623621000509e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2937
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=686.6MB, alloc=4.2MB, time=25.91
x[1] = 0.441
y[1] (analytic) = 4.9602475942242861041063571324483
y[1] (numeric) = 4.9602475942242861041063571324497
absolute error = 1.4e-30
relative error = 2.8224397540763095188919958217227e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2927
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.442
y[1] (analytic) = 4.978974085566960624082313190325
y[1] (numeric) = 4.9789740855669606240823131903252
absolute error = 2e-31
relative error = 4.0168917645054544481174746500744e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2917
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=690.4MB, alloc=4.2MB, time=26.06
x[1] = 0.443
y[1] (analytic) = 4.9978269201482142281824524797358
y[1] (numeric) = 4.997826920148214228182452479735
absolute error = 8e-31
relative error = 1.6006956879096473641110988662678e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2907
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.444
y[1] (analytic) = 5.0168074091545141327222240641277
y[1] (numeric) = 5.016807409154514132722224064127
absolute error = 7e-31
relative error = 1.3953096918224561912994773778745e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2897
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=694.3MB, alloc=4.2MB, time=26.20
x[1] = 0.445
y[1] (analytic) = 5.0359168819315342141079428808447
y[1] (numeric) = 5.0359168819315342141079428808449
absolute error = 2e-31
relative error = 3.9714714259400101656254523380216e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2887
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.446
y[1] (analytic) = 5.0551566862997744296743905024794
y[1] (numeric) = 5.0551566862997744296743905024804
absolute error = 1.0e-30
relative error = 1.9781780507618063577937694796978e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2877
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=698.1MB, alloc=4.2MB, time=26.34
x[1] = 0.447
y[1] (analytic) = 5.0745281888767853168796222546312
y[1] (numeric) = 5.0745281888767853168796222546317
absolute error = 5e-31
relative error = 9.8531327719488308536103560885658e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2867
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.448
y[1] (analytic) = 5.0940327754061594038015603709419
y[1] (numeric) = 5.0940327754061594038015603709408
absolute error = 1.1e-30
relative error = 2.1593893257043175814463582652701e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2857
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=701.9MB, alloc=4.2MB, time=26.49
x[1] = 0.449
y[1] (analytic) = 5.1136718510934559113330212686105
y[1] (numeric) = 5.1136718510934559113330212686095
absolute error = 1.0e-30
relative error = 1.9555419845451563453644744676426e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2847
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.45
y[1] (analytic) = 5.1334468409492298191854396837764
y[1] (numeric) = 5.133446840949229819185439683777
absolute error = 6e-31
relative error = 1.1688053243560101098268245322167e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2837
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=705.7MB, alloc=4.2MB, time=26.63
x[1] = 0.451
y[1] (analytic) = 5.1533591901393412088896936959504
y[1] (numeric) = 5.1533591901393412088896936959491
absolute error = 1.3e-30
relative error = 2.5226264113075522271660896972651e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2827
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.452
y[1] (analytic) = 5.1734103643427257927273469978856
y[1] (numeric) = 5.1734103643427257927273469978868
absolute error = 1.2e-30
relative error = 2.3195530906863566425988917779815e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2817
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=709.5MB, alloc=4.2MB, time=26.77
x[1] = 0.453
y[1] (analytic) = 5.1936018501168126934473351333489
y[1] (numeric) = 5.1936018501168126934473351333489
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2807
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.454
y[1] (analytic) = 5.2139351552707808614483549309271
y[1] (numeric) = 5.2139351552707808614483549309277
absolute error = 6e-31
relative error = 1.1507622978269271539630677063359e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2797
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=713.3MB, alloc=4.2MB, time=26.92
x[1] = 0.455
y[1] (analytic) = 5.2344118092468510097887225282589
y[1] (numeric) = 5.2344118092468510097887225282602
absolute error = 1.3e-30
relative error = 2.4835646245935117185854457573134e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2787
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.456
y[1] (analytic) = 5.2550333635098156191117912466715
memory used=717.1MB, alloc=4.2MB, time=27.06
y[1] (numeric) = 5.2550333635098156191117912466712
absolute error = 3e-31
relative error = 5.7088124707857460344373555228280e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2777
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.457
y[1] (analytic) = 5.2758013919450154207807326802417
y[1] (numeric) = 5.2758013919450154207807326802425
absolute error = 8e-31
relative error = 1.5163573087141291441104549875782e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2767
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=721.0MB, alloc=4.2MB, time=27.20
x[1] = 0.458
y[1] (analytic) = 5.2967174912649768138928779041183
y[1] (numeric) = 5.296717491264976813892877904119
absolute error = 7e-31
relative error = 1.3215732218197350972057084184407e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2757
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.459
y[1] (analytic) = 5.3177832814249309173501294606991
y[1] (numeric) = 5.3177832814249309173501294606995
absolute error = 4e-31
relative error = 7.5219312038759442768070997905690e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2747
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=724.8MB, alloc=4.2MB, time=27.35
x[1] = 0.46
y[1] (analytic) = 5.3390004060474414090371186967038
y[1] (numeric) = 5.3390004060474414090371186967037
absolute error = 1e-31
relative error = 1.8730097845044332773708351796032e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2737
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.461
y[1] (analytic) = 5.360370532856374967933725835238
y[1] (numeric) = 5.3603705328563749679337258352377
absolute error = 3e-31
relative error = 5.5966280345948271186296536938343e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2727
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=728.6MB, alloc=4.2MB, time=27.49
x[1] = 0.462
y[1] (analytic) = 5.3818953541204550194991258974216
y[1] (numeric) = 5.3818953541204550194991258974219
absolute error = 3e-31
relative error = 5.5742443927363947558055853593481e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2717
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.463
y[1] (analytic) = 5.403576587106646598064907379662
y[1] (numeric) = 5.4035765871066465980649073796619
absolute error = 1e-31
relative error = 1.8506261249004551250731303976904e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2707
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=732.4MB, alloc=4.2MB, time=27.64
x[1] = 0.464
y[1] (analytic) = 5.4254159745436274907518460240942
y[1] (numeric) = 5.425415974543627490751846024094
absolute error = 2e-31
relative error = 3.6863532849538509899472849452339e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2697
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.465
y[1] (analytic) = 5.4474152850956084244128478538782
y[1] (numeric) = 5.4474152850956084244128478538769
absolute error = 1.3e-30
relative error = 2.3864528991517552343866560537821e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2687
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=736.2MB, alloc=4.2MB, time=27.78
x[1] = 0.466
y[1] (analytic) = 5.4695763138467729095006538502565
y[1] (numeric) = 5.4695763138467729095006538502576
absolute error = 1.1e-30
relative error = 2.0111246957378422612789039414517e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2677
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.467
y[1] (analytic) = 5.491900882796615472139711557682
y[1] (numeric) = 5.4919008827966154721397115576834
absolute error = 1.4e-30
relative error = 2.5492084250564340623675404258415e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2667
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=740.0MB, alloc=4.2MB, time=27.92
x[1] = 0.468
y[1] (analytic) = 5.5143908413664653980202255097914
y[1] (numeric) = 5.5143908413664653980202255097913
absolute error = 1e-31
relative error = 1.8134369303286455450469831783080e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2657
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.469
y[1] (analytic) = 5.5370480669174917894163020247657
y[1] (numeric) = 5.5370480669174917894163020247666
absolute error = 9e-31
relative error = 1.6254148223442016344063352739994e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2647
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=743.8MB, alloc=4.2MB, time=28.07
x[1] = 0.47
y[1] (analytic) = 5.5598744652804947104801121061443
y[1] (numeric) = 5.5598744652804947104801121061453
absolute error = 1.0e-30
relative error = 1.7986017602459485962496084235948e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2637
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.471
y[1] (analytic) = 5.5828719712977964772540135853044
y[1] (numeric) = 5.5828719712977964772540135853031
absolute error = 1.3e-30
relative error = 2.3285506217650223503093715007663e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2627
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=747.7MB, alloc=4.2MB, time=28.21
x[1] = 0.472
y[1] (analytic) = 5.6060425493775567493203784224942
y[1] (numeric) = 5.6060425493775567493203784224931
absolute error = 1.1e-30
relative error = 1.9621684821534825004873915353345e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2617
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.473
y[1] (analytic) = 5.6293881940608450119179272118659
y[1] (numeric) = 5.6293881940608450119179272118672
absolute error = 1.3e-30
relative error = 2.3093095647081768886114851711636e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2607
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=751.5MB, alloc=4.2MB, time=28.36
x[1] = 0.474
y[1] (analytic) = 5.6529109306018143134557343650818
y[1] (numeric) = 5.6529109306018143134557343650809
absolute error = 9e-31
relative error = 1.5921000897570928784349379601733e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2597
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=755.3MB, alloc=4.2MB, time=28.51
x[1] = 0.475
y[1] (analytic) = 5.6766128155613307569564332628322
y[1] (numeric) = 5.6766128155613307569564332628336
absolute error = 1.4e-30
relative error = 2.4662594499349543388079490423163e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2587
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.476
y[1] (analytic) = 5.700495937414424248931133718096
y[1] (numeric) = 5.7004959374144242489311337180945
absolute error = 1.5e-30
relative error = 2.6313500026461828792069918703002e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2577
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=759.1MB, alloc=4.2MB, time=28.65
x[1] = 0.477
y[1] (analytic) = 5.724562417171937399997239319719
y[1] (numeric) = 5.7245624171719373999972393197191
absolute error = 1e-31
relative error = 1.7468584096494531604443436413904e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2567
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.478
y[1] (analytic) = 5.748814409016761263286154671349
y[1] (numeric) = 5.7488144090167612632861546713492
absolute error = 2e-31
relative error = 3.4789781991624019272522399389175e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2557
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=762.9MB, alloc=4.2MB, time=28.80
x[1] = 0.479
y[1] (analytic) = 5.7732541009550588050919193465264
y[1] (numeric) = 5.773254100955058805091919346528
absolute error = 1.6e-30
relative error = 2.7714006208999443545317528612085e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2547
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.48
y[1] (analytic) = 5.7978837154828896437077202436037
y[1] (numeric) = 5.7978837154828896437077202436038
absolute error = 1e-31
relative error = 1.7247672583179995277211384573911e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2537
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=766.7MB, alloc=4.2MB, time=28.94
x[1] = 0.481
y[1] (analytic) = 5.8227055102686626841235574112853
y[1] (numeric) = 5.8227055102686626841235574112849
absolute error = 4e-31
relative error = 6.8696587745091678240528806917442e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2527
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.482
y[1] (analytic) = 5.8477217788518568361026117246748
y[1] (numeric) = 5.8477217788518568361026117246736
absolute error = 1.2e-30
relative error = 2.0520812127891766793710481529084e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2517
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=770.5MB, alloc=4.2MB, time=29.09
x[1] = 0.483
y[1] (analytic) = 5.8729348513584640497884799295123
y[1] (numeric) = 5.8729348513584640497884799295136
absolute error = 1.3e-30
relative error = 2.2135440506364513790898276652178e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2507
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.484
y[1] (analytic) = 5.8983470952336234559153680559059
y[1] (numeric) = 5.8983470952336234559153680559074
absolute error = 1.5e-30
relative error = 2.5430853352325268025440413286996e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2497
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=774.4MB, alloc=4.2MB, time=29.23
x[1] = 0.485
y[1] (analytic) = 5.9239609159919304772557928462547
y[1] (numeric) = 5.9239609159919304772557928462549
absolute error = 2e-31
relative error = 3.3761195057869695899828771534936e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2487
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.486
y[1] (analytic) = 5.9497787579859204054065904689257
y[1] (numeric) = 5.9497787579859204054065904689253
absolute error = 4e-31
relative error = 6.7229390582483665952165704825726e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2477
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=778.2MB, alloc=4.2MB, time=29.38
x[1] = 0.487
y[1] (analytic) = 5.9758031051932421345933371751559
y[1] (numeric) = 5.9758031051932421345933371751577
absolute error = 1.8e-30
relative error = 3.0121474357743127481776568358778e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2467
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.488
y[1] (analytic) = 6.002036482023054535069220032638
y[1] (numeric) = 6.0020364820230545350692200326397
absolute error = 1.7e-30
relative error = 2.8323719875607882019341086974668e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2457
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=782.0MB, alloc=4.2MB, time=29.52
x[1] = 0.489
y[1] (analytic) = 6.0284814541421953571435976959717
y[1] (numeric) = 6.0284814541421953571435976959703
absolute error = 1.4e-30
relative error = 2.3223095412163108174652372696237e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2447
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.49
y[1] (analytic) = 6.0551406293216906082390309989501
y[1] (numeric) = 6.0551406293216906082390309989515
absolute error = 1.4e-30
relative error = 2.3120850294055530449332805690916e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2437
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=785.8MB, alloc=4.2MB, time=29.67
x[1] = 0.491
y[1] (analytic) = 6.0820166583041910661330525886638
y[1] (numeric) = 6.0820166583041910661330525886626
absolute error = 1.2e-30
relative error = 1.9730297817608874374072606450489e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2427
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.492
y[1] (analytic) = 6.1091122356929420093875604981361
y[1] (numeric) = 6.1091122356929420093875604981371
absolute error = 1.0e-30
relative error = 1.6368990475529745910494076628605e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2417
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=789.6MB, alloc=4.2MB, time=29.82
x[1] = 0.493
y[1] (analytic) = 6.1364301008629123898653069373943
y[1] (numeric) = 6.1364301008629123898653069373943
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2407
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.494
y[1] (analytic) = 6.1639730388947305724693854177991
y[1] (numeric) = 6.1639730388947305724693854178001
absolute error = 1.0e-30
relative error = 1.6223302627866639794413843858050e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2397
Order of pole = 651
memory used=793.4MB, alloc=4.2MB, time=29.96
TOP MAIN SOLVE Loop
x[1] = 0.495
y[1] (analytic) = 6.1917438815320954555036149066208
y[1] (numeric) = 6.191743881532095455503614906622
absolute error = 1.2e-30
relative error = 1.9380646599081711277247682352659e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2387
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=797.3MB, alloc=4.2MB, time=30.10
x[1] = 0.496
y[1] (analytic) = 6.2197455081633542944913082074536
y[1] (numeric) = 6.2197455081633542944913082074543
absolute error = 7e-31
relative error = 1.1254479770615324088788173213143e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2377
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.497
y[1] (analytic) = 6.2479808468279619175997707382535
y[1] (numeric) = 6.2479808468279619175997707382549
absolute error = 1.4e-30
relative error = 2.2407238983627265019147536575826e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2367
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=801.1MB, alloc=4.2MB, time=30.25
x[1] = 0.498
y[1] (analytic) = 6.2764528752485602783097688620986
y[1] (numeric) = 6.2764528752485602783097688620995
absolute error = 9e-31
relative error = 1.4339309445772874898449515837412e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2357
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.499
y[1] (analytic) = 6.3051646218894424786567656321692
y[1] (numeric) = 6.3051646218894424786567656321677
absolute error = 1.5e-30
relative error = 2.3790021196155561023851403327103e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2347
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=804.9MB, alloc=4.2MB, time=30.40
x[1] = 0.5
y[1] (analytic) = 6.3341191670421915540568332642278
y[1] (numeric) = 6.3341191670421915540568332642276
absolute error = 2e-31
relative error = 3.1575029570116674824638062185873e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2337
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.501
y[1] (analytic) = 6.3633196439393114800992272472331
y[1] (numeric) = 6.3633196439393114800992272472346
absolute error = 1.5e-30
relative error = 2.3572601785432262078043143664602e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2327
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=808.7MB, alloc=4.2MB, time=30.54
x[1] = 0.502
y[1] (analytic) = 6.3927692398966960864030285269123
y[1] (numeric) = 6.3927692398966960864030285269132
absolute error = 9e-31
relative error = 1.4078405871170528036093869098901e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2317
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.503
y[1] (analytic) = 6.4224711974858108884423169062379
y[1] (numeric) = 6.422471197485810888442316906238
absolute error = 1e-31
relative error = 1.5570330628986978677421263159208e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2307
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=812.5MB, alloc=4.2MB, time=30.69
x[1] = 0.504
y[1] (analytic) = 6.4524288157364933230789902991232
y[1] (numeric) = 6.4524288157364933230789902991225
absolute error = 7e-31
relative error = 1.0848628012645507644258898760476e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2297
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.505
y[1] (analytic) = 6.4826454513713085476461659480604
y[1] (numeric) = 6.4826454513713085476461659480585
absolute error = 1.9e-30
relative error = 2.9309022285000683975000761454990e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2287
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=816.3MB, alloc=4.2MB, time=30.83
x[1] = 0.506
y[1] (analytic) = 6.5131245200724308884667897467052
y[1] (numeric) = 6.5131245200724308884667897467031
absolute error = 2.1e-30
relative error = 3.2242589459607727659254188800156e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2277
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.507
y[1] (analytic) = 6.5438694977820552578959359049392
y[1] (numeric) = 6.5438694977820552578959359049404
absolute error = 1.2e-30
relative error = 1.8337774009807525875469424062519e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2267
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=820.1MB, alloc=4.2MB, time=30.97
x[1] = 0.508
y[1] (analytic) = 6.574883922037378457257073357651
y[1] (numeric) = 6.5748839220373784572570733576504
absolute error = 6e-31
relative error = 9.1256363931985015187517156489527e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2257
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.509
y[1] (analytic) = 6.6061713933412273071532906441384
y[1] (numeric) = 6.6061713933412273071532906441366
absolute error = 1.8e-30
relative error = 2.7247249470613681130057318439949e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2247
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=824.0MB, alloc=4.2MB, time=31.12
x[1] = 0.51
y[1] (analytic) = 6.6377355765694490603123912881818
y[1] (numeric) = 6.6377355765694490603123912881821
absolute error = 3e-31
relative error = 4.5196136022496944191655473249644e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2237
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.511
y[1] (analytic) = 6.6695802024162196222564492844704
y[1] (numeric) = 6.6695802024162196222564492844685
absolute error = 1.9e-30
relative error = 2.8487550075665605238117320799281e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2227
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=827.8MB, alloc=4.2MB, time=31.27
x[1] = 0.512
y[1] (analytic) = 6.7017090688784668018770764525868
y[1] (numeric) = 6.7017090688784668018770764525859
absolute error = 9e-31
relative error = 1.3429410181045285116987668391758e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2217
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=831.6MB, alloc=4.2MB, time=31.41
x[1] = 0.513
y[1] (analytic) = 6.7341260427806492111516465192235
y[1] (numeric) = 6.7341260427806492111516465192228
absolute error = 7e-31
relative error = 1.0394815831379310441063332658017e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2207
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.514
y[1] (analytic) = 6.76683506134117660814763143496
y[1] (numeric) = 6.7668350613411766081476314349593
absolute error = 7e-31
relative error = 1.0344570152139352498213325083991e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2197
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=835.4MB, alloc=4.2MB, time=31.56
x[1] = 0.515
y[1] (analytic) = 6.7998401337818045114193422737278
y[1] (numeric) = 6.7998401337818045114193422737255
absolute error = 2.3e-30
relative error = 3.3824324612773361861920921764307e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2187
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.516
y[1] (analytic) = 6.833145342981384892298333816744
y[1] (numeric) = 6.8331453429813848922983338167435
absolute error = 5e-31
relative error = 7.3172744746834827939395823672047e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2177
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=839.2MB, alloc=4.2MB, time=31.70
x[1] = 0.517
y[1] (analytic) = 6.866754847175405764144872760369
y[1] (numeric) = 6.8667548471754057641448727603676
absolute error = 1.4e-30
relative error = 2.0388087694376926093647557042550e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2167
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.518
y[1] (analytic) = 6.9006728817028056286684222708353
y[1] (numeric) = 6.9006728817028056286684222708333
absolute error = 2.0e-30
relative error = 2.8982680881787882671028875276242e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2157
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=843.0MB, alloc=4.2MB, time=31.85
x[1] = 0.519
y[1] (analytic) = 6.934903760801604108076946821595
y[1] (numeric) = 6.9349037608016041080769468215958
absolute error = 8e-31
relative error = 1.1535848623046041572408569764561e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2147
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.52
y[1] (analytic) = 6.9694518794549477923178392103793
y[1] (numeric) = 6.969451879454947792317839210377
absolute error = 2.3e-30
relative error = 3.3001160489824252202319819647444e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2137
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=846.8MB, alloc=4.2MB, time=31.99
x[1] = 0.521
y[1] (analytic) = 7.0043217152892304726581220703007
y[1] (numeric) = 7.0043217152892304726581220703013
absolute error = 6e-31
relative error = 8.5661399402929069051496965635281e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2127
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.522
y[1] (analytic) = 7.0395178305260096316454166517755
y[1] (numeric) = 7.0395178305260096316454166517771
absolute error = 1.6e-30
relative error = 2.2728829424393178475228528088757e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2117
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=850.7MB, alloc=4.2MB, time=32.14
x[1] = 0.523
y[1] (analytic) = 7.0750448739895064364419997466559
y[1] (numeric) = 7.075044873989506436441999746656
absolute error = 1e-31
relative error = 1.4134185970697818923660456922962e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2107
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.524
y[1] (analytic) = 7.1109075831715446653454833804513
y[1] (numeric) = 7.1109075831715446653454833804522
absolute error = 9e-31
relative error = 1.2656612246373618168817128195049e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2097
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=854.5MB, alloc=4.2MB, time=32.28
x[1] = 0.525
y[1] (analytic) = 7.147110786355855120446051713375
y[1] (numeric) = 7.1471107863558551204460517133736
absolute error = 1.4e-30
relative error = 1.9588334948895164741528228903176e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2087
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.526
y[1] (analytic) = 7.183659404803746284386888278794
y[1] (numeric) = 7.1836594048037462843868882787964
absolute error = 2.4e-30
relative error = 3.3409156319342045847337906770962e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2077
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=858.3MB, alloc=4.2MB, time=32.43
x[1] = 0.527
y[1] (analytic) = 7.2205584550032194151902191935583
y[1] (numeric) = 7.2205584550032194151902191935572
absolute error = 1.1e-30
relative error = 1.5234278717566445424155856876864e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2067
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.528
y[1] (analytic) = 7.2578130509836870971582555118863
y[1] (numeric) = 7.2578130509836870971582555118888
absolute error = 2.5e-30
relative error = 3.4445637858654442812501997798365e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2057
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=862.1MB, alloc=4.2MB, time=32.57
x[1] = 0.529
y[1] (analytic) = 7.2954284066985386434687932134004
y[1] (numeric) = 7.2954284066985386434687932134029
absolute error = 2.5e-30
relative error = 3.4268035550928611625650699003283e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2047
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.53
y[1] (analytic) = 7.3334098384778838517096913829561
y[1] (numeric) = 7.3334098384778838517096913829574
absolute error = 1.3e-30
relative error = 1.7727087789079941369527837975262e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2037
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=865.9MB, alloc=4.2MB, time=32.71
x[1] = 0.531
y[1] (analytic) = 7.3717627675538986311522074816167
y[1] (numeric) = 7.3717627675538986311522074816171
absolute error = 4e-31
relative error = 5.4261105872880410847899242242393e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2027
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=869.7MB, alloc=4.2MB, time=32.86
x[1] = 0.532
y[1] (analytic) = 7.410492722661292143997700756504
y[1] (numeric) = 7.4104927226612921439977007565036
absolute error = 4e-31
relative error = 5.3977517416190114946606974891946e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2017
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.533
y[1] (analytic) = 7.4496053427155155367228757823826
y[1] (numeric) = 7.4496053427155155367228757823844
absolute error = 1.8e-30
relative error = 2.4162353805226781696614223041298e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2007
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=873.5MB, alloc=4.3MB, time=33.00
x[1] = 0.534
y[1] (analytic) = 7.4891063795714372978415093284686
y[1] (numeric) = 7.489106379571437297841509328468
absolute error = 6e-31
relative error = 8.0116367639891221174357900046342e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1997
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.535
y[1] (analytic) = 7.5290017008653199926906323501524
y[1] (numeric) = 7.5290017008653199926906323501527
absolute error = 3e-31
relative error = 3.9845920072713030299080479657682e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1987
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=877.4MB, alloc=4.3MB, time=33.15
x[1] = 0.536
y[1] (analytic) = 7.5692972929430478347060265257454
y[1] (numeric) = 7.5692972929430478347060265257447
absolute error = 7e-31
relative error = 9.2478862027604452216406648632704e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1977
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.537
y[1] (analytic) = 7.6099992638776745099929207844257
y[1] (numeric) = 7.6099992638776745099929207844277
absolute error = 2.0e-30
relative error = 2.6281211477816886957323577631943e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1967
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=881.2MB, alloc=4.3MB, time=33.29
x[1] = 0.538
y[1] (analytic) = 7.6511138465794861460124818994577
y[1] (numeric) = 7.6511138465794861460124818994598
absolute error = 2.1e-30
relative error = 2.7446984087667547820117956729806e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1957
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.539
y[1] (analytic) = 7.6926474020019055892345374840675
y[1] (numeric) = 7.6926474020019055892345374840658
absolute error = 1.7e-30
relative error = 2.2099024057148367442834592719179e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1947
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=885.0MB, alloc=4.3MB, time=33.44
x[1] = 0.54
y[1] (analytic) = 7.7346064224467015300839918803707
y[1] (numeric) = 7.7346064224467015300839918803704
absolute error = 3e-31
relative error = 3.8786718239387864953153367454391e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1937
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.541
y[1] (analytic) = 7.7769975349721098029572327557455
y[1] (numeric) = 7.7769975349721098029572327557457
absolute error = 2e-31
relative error = 2.5716865551342527003584719043260e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1927
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=888.8MB, alloc=4.3MB, time=33.58
x[1] = 0.542
y[1] (analytic) = 7.8198275049076247291926669557181
y[1] (numeric) = 7.8198275049076247291926669557204
absolute error = 2.3e-30
relative error = 2.9412413490662666434519672900880e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1917
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.543
y[1] (analytic) = 7.8631032394793760156390020138793
y[1] (numeric) = 7.8631032394793760156390020138793
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1907
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=892.6MB, alloc=4.3MB, time=33.73
x[1] = 0.544
y[1] (analytic) = 7.9068317915501718453952998512964
y[1] (numeric) = 7.9068317915501718453952998512982
absolute error = 1.8e-30
relative error = 2.2765123218172084944560935414955e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1897
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.545
y[1] (analytic) = 7.9510203634784617967494765082943
y[1] (numeric) = 7.9510203634784617967494765082914
absolute error = 2.9e-30
relative error = 3.6473306159805758304204406893434e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1887
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=896.4MB, alloc=4.3MB, time=33.88
x[1] = 0.546
y[1] (analytic) = 7.9956763111006545208958765913945
y[1] (numeric) = 7.9956763111006545208958765913974
absolute error = 2.9e-30
relative error = 3.6269602309611217646557141101457e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1877
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.547
y[1] (analytic) = 8.0408071478414151429675917915699
y[1] (numeric) = 8.0408071478414151429675917915712
absolute error = 1.3e-30
relative error = 1.6167531145787893682650698488207e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1867
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=900.3MB, alloc=4.3MB, time=34.02
x[1] = 0.548
y[1] (analytic) = 8.0864205489567665948932617910286
y[1] (numeric) = 8.0864205489567665948932617910289
absolute error = 3e-31
relative error = 3.7099232989892315105834261384630e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1857
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.549
y[1] (analytic) = 8.1325243559150280412271916082989
y[1] (numeric) = 8.1325243559150280412271916083013
absolute error = 2.4e-30
relative error = 2.9511132029434480146073848646420e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1847
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=904.1MB, alloc=4.3MB, time=34.16
x[1] = 0.55
y[1] (analytic) = 8.1791265809208427489106928230822
y[1] (numeric) = 8.1791265809208427489106928230802
absolute error = 2.0e-30
relative error = 2.4452488663830301440461501096276e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1837
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=907.9MB, alloc=4.3MB, time=34.31
x[1] = 0.551
y[1] (analytic) = 8.2262354115877777392266837053387
y[1] (numeric) = 8.2262354115877777392266837053369
absolute error = 1.8e-30
relative error = 2.1881211878090113989658608734785e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1827
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.552
y[1] (analytic) = 8.273859215765218939255455120509
y[1] (numeric) = 8.2738592157652189392554551205109
absolute error = 1.9e-30
relative error = 2.2963890857360641686595636123826e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1817
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=911.7MB, alloc=4.3MB, time=34.45
x[1] = 0.553
y[1] (analytic) = 8.3220065465255389513481024309871
y[1] (numeric) = 8.3220065465255389513481024309851
absolute error = 2.0e-30
relative error = 2.4032665545486810549683168862518e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1807
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.554
y[1] (analytic) = 8.370686147317780651516340687654
y[1] (numeric) = 8.3706861473177806515163406876545
absolute error = 5e-31
relative error = 5.9732259841114103062446047726850e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1797
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=915.5MB, alloc=4.3MB, time=34.60
x[1] = 0.555
y[1] (analytic) = 8.4199069572943793213854576055721
y[1] (numeric) = 8.4199069572943793213854576055736
absolute error = 1.5e-30
relative error = 1.7814923699370714418079233310667e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1787
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.556
y[1] (analytic) = 8.4696781168177396676254521380664
y[1] (numeric) = 8.4696781168177396676254521380683
absolute error = 1.9e-30
relative error = 2.2432965855305436020377496965557e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1777
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=919.3MB, alloc=4.3MB, time=34.74
x[1] = 0.557
y[1] (analytic) = 8.5200089731537926886661732708628
y[1] (numeric) = 8.5200089731537926886661732708625
absolute error = 3e-31
relative error = 3.5211230521621279305058243713892e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1767
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.558
y[1] (analytic) = 8.5709090863599817622719532859011
y[1] (numeric) = 8.5709090863599817622719532858969
absolute error = 4.2e-30
relative error = 4.9002969902971133269791045795067e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1757
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=923.1MB, alloc=4.3MB, time=34.89
x[1] = 0.559
y[1] (analytic) = 8.6223882353754684540555251002698
y[1] (numeric) = 8.622388235375468454055525100266
absolute error = 3.8e-30
relative error = 4.4071316394796111957379750940466e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1747
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.56
y[1] (analytic) = 8.6744564243217073484077643415089
y[1] (numeric) = 8.6744564243217073484077643415089
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1737
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=927.0MB, alloc=4.3MB, time=35.03
x[1] = 0.561
y[1] (analytic) = 8.7271238890219167030505871829267
y[1] (numeric) = 8.7271238890219167030505871829267
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1727
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.562
y[1] (analytic) = 8.7804011037483690154935586594324
y[1] (numeric) = 8.7804011037483690154935586594307
absolute error = 1.7e-30
relative error = 1.9361302290327795434690428777345e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1717
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=930.8MB, alloc=4.3MB, time=35.18
x[1] = 0.563
y[1] (analytic) = 8.8342987882068438232748789202442
y[1] (numeric) = 8.834298788206843823274878920241
absolute error = 3.2e-30
relative error = 3.6222456096592191544583110856919e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1707
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.564
y[1] (analytic) = 8.8888279147680254743172794060475
y[1] (numeric) = 8.8888279147680254743172794060475
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1697
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=934.6MB, alloc=4.3MB, time=35.32
x[1] = 0.565
y[1] (analytic) = 8.9439997159560925138349888889776
y[1] (numeric) = 8.943999715956092513834988888978
absolute error = 4e-31
relative error = 4.4722720561629729621776009378662e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1687
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.566
y[1] (analytic) = 8.9998256922052341410375427026899
y[1] (numeric) = 8.999825692205234141037542702686
absolute error = 3.9e-30
relative error = 4.3334172609340615250101375884975e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1677
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=938.4MB, alloc=4.3MB, time=35.47
x[1] = 0.567
y[1] (analytic) = 9.056317619895344385888416751627
y[1] (numeric) = 9.0563176198953443858884167516284
absolute error = 1.4e-30
relative error = 1.5458821772377043958627152624576e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1667
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.568
y[1] (analytic) = 9.113487559678687836035506049083
y[1] (numeric) = 9.1134875596786878360355060490845
absolute error = 1.5e-30
relative error = 1.6459121606052701517068351673142e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1657
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=942.2MB, alloc=4.3MB, time=35.61
x[1] = 0.569
y[1] (analytic) = 9.1713478651099036057498970786337
y[1] (numeric) = 9.171347865109903605749897078636
absolute error = 2.3e-30
relative error = 2.5078102301078057094473401100861e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1647
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=946.0MB, alloc=4.3MB, time=35.76
x[1] = 0.57
y[1] (analytic) = 9.2299111915923185954694509029655
y[1] (numeric) = 9.2299111915923185954694509029692
absolute error = 3.7e-30
relative error = 4.0087059595658864575504144405037e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1637
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.571
y[1] (analytic) = 9.2891905056541788781117301202957
y[1] (numeric) = 9.2891905056541788781117301202919
absolute error = 3.8e-30
relative error = 4.0907762605223802087677574976645e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1627
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=949.8MB, alloc=4.3MB, time=35.90
x[1] = 0.572
y[1] (analytic) = 9.3491990945690813341484809923905
y[1] (numeric) = 9.349199094569081334148480992387
absolute error = 3.5e-30
relative error = 3.7436361816630243351166654444438e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1617
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.573
y[1] (analytic) = 9.4099505763355986504906147117629
y[1] (numeric) = 9.4099505763355986504906147117582
absolute error = 4.7e-30
relative error = 4.9947127371951226649895459022810e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1607
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=953.7MB, alloc=4.3MB, time=36.05
x[1] = 0.574
y[1] (analytic) = 9.4714589100318418596392176754245
y[1] (numeric) = 9.4714589100318418596392176754255
absolute error = 1.0e-30
relative error = 1.0558035562407757150218787524367e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1597
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.575
y[1] (analytic) = 9.5337384065614982500915574564859
y[1] (numeric) = 9.5337384065614982500915574564832
absolute error = 2.7e-30
relative error = 2.8320474979067524338939979909944e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1587
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=957.5MB, alloc=4.3MB, time=36.19
x[1] = 0.576
y[1] (analytic) = 9.5968037398087214275377220600897
y[1] (numeric) = 9.5968037398087214275377220600892
absolute error = 5e-31
relative error = 5.2100679930124917161361929541998e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1577
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.577
y[1] (analytic) = 9.6606699582201374394255163890915
y[1] (numeric) = 9.6606699582201374394255163890961
absolute error = 4.6e-30
relative error = 4.7615745283647955438922378980943e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1567
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=961.3MB, alloc=4.3MB, time=36.34
x[1] = 0.578
y[1] (analytic) = 9.7253524968331692876986548090793
y[1] (numeric) = 9.7253524968331692876986548090804
absolute error = 1.1e-30
relative error = 1.1310644013758770680926849050611e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1557
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.579
y[1] (analytic) = 9.7908671897708751606645337033704
y[1] (numeric) = 9.7908671897708751606645337033687
absolute error = 1.7e-30
relative error = 1.7363119803893318058114677538772e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1547
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=965.1MB, alloc=4.3MB, time=36.48
x[1] = 0.58
y[1] (analytic) = 9.857230283224546866989658656071
y[1] (numeric) = 9.8572302832245468669896586560743
absolute error = 3.3e-30
relative error = 3.3477963943036617001331586758999e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1537
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.581
y[1] (analytic) = 9.9244584489464280605907968461996
y[1] (numeric) = 9.9244584489464280605907968462025
absolute error = 2.9e-30
relative error = 2.9220737987047157176821214704355e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1527
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=968.9MB, alloc=4.3MB, time=36.63
x[1] = 0.582
y[1] (analytic) = 9.9925687982760909886369417656105
y[1] (numeric) = 9.9925687982760909886369417656124
absolute error = 1.9e-30
relative error = 1.9014129783402505037226693206382e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1517
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.583
y[1] (analytic) = 10.061578896725260058047395338774
y[1] (numeric) = 10.061578896725260058047395338775
absolute error = 1e-30
relative error = 9.9387979785704387524529001254387e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1507
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=972.7MB, alloc=4.3MB, time=36.77
x[1] = 0.584
y[1] (analytic) = 10.131506779147195202803730820983
y[1] (numeric) = 10.131506779147195202803730820987
absolute error = 4e-30
relative error = 3.9480800706098862842522912641220e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1497
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.585
y[1] (analytic) = 10.202370965518152897104528055904
y[1] (numeric) = 10.202370965518152897104528055905
absolute error = 1e-30
relative error = 9.8016432001912851616679072530615e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1487
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=976.5MB, alloc=4.3MB, time=36.92
x[1] = 0.586
y[1] (analytic) = 10.274190477359933126146976234129
y[1] (numeric) = 10.274190477359933126146976234133
absolute error = 4e-30
relative error = 3.8932507712547726088870858896366e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1477
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.587
y[1] (analytic) = 10.346984854834102532409996468839
y[1] (numeric) = 10.346984854834102532409996468839
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1467
Order of pole = 651
memory used=980.4MB, alloc=4.3MB, time=37.06
TOP MAIN SOLVE Loop
x[1] = 0.588
y[1] (analytic) = 10.420774174540163576579536113019
y[1] (numeric) = 10.420774174540163576579536113025
absolute error = 6e-30
relative error = 5.7577296077090753950467458263808e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1457
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=984.2MB, alloc=4.3MB, time=37.20
x[1] = 0.589
y[1] (analytic) = 10.495579068051723641621690422757
y[1] (numeric) = 10.495579068051723641621690422762
absolute error = 5e-30
relative error = 4.7639105642297270907718911371433e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1447
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.59
y[1] (analytic) = 10.571420741226613835820152828377
y[1] (numeric) = 10.571420741226613835820152828382
absolute error = 5e-30
relative error = 4.7297332330184451419952841920575e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1437
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=988.0MB, alloc=4.3MB, time=37.35
x[1] = 0.591
y[1] (analytic) = 10.648320994328922646090500821819
y[1] (numeric) = 10.648320994328922646090500821823
absolute error = 4e-30
relative error = 3.7564607623402017614004246741572e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1427
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.592
y[1] (analytic) = 10.726302243003052994653977428163
y[1] (numeric) = 10.726302243003052994653977428162
absolute error = 1e-30
relative error = 9.3228773285063525601192946673800e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1417
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=991.8MB, alloc=4.3MB, time=37.49
x[1] = 0.593
y[1] (analytic) = 10.805387540142191757978371095598
y[1] (numeric) = 10.805387540142191757978371095604
absolute error = 6e-30
relative error = 5.5527855689672412858476354458816e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1407
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.594
y[1] (analytic) = 10.885600598696008230911831827523
y[1] (numeric) = 10.885600598696008230911831827518
absolute error = 5e-30
relative error = 4.5932238232210656395991560458058e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1397
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=995.6MB, alloc=4.3MB, time=37.64
x[1] = 0.595
y[1] (analytic) = 10.966965815464982953620713018149
y[1] (numeric) = 10.966965815464982953620713018147
absolute error = 2e-30
relative error = 1.8236584609206270150524512421468e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1387
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.596
y[1] (analytic) = 11.049508295931522202932250131254
y[1] (numeric) = 11.049508295931522202932250131251
absolute error = 3e-30
relative error = 2.7150529414097216081541781115405e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1377
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=999.4MB, alloc=4.3MB, time=37.78
x[1] = 0.597
y[1] (analytic) = 11.133253880180948642057148553536
y[1] (numeric) = 11.133253880180948642057148553538
absolute error = 2e-30
relative error = 1.7964200057993234444579393255812e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1367
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.598
y[1] (analytic) = 11.218229169968588484343382146445
y[1] (numeric) = 11.218229169968588484343382146442
absolute error = 3e-30
relative error = 2.6742188580271266884386657441475e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1357
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1003.3MB, alloc=4.3MB, time=37.92
x[1] = 0.599
y[1] (analytic) = 11.304461556992514509695668423944
y[1] (numeric) = 11.304461556992514509695668423939
absolute error = 5e-30
relative error = 4.4230324237842077139741810064062e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1347
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.6
y[1] (analytic) = 11.391979252435068017605863802322
y[1] (numeric) = 11.391979252435068017605863802328
absolute error = 6e-30
relative error = 5.2668635248062648180867584058138e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1337
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1007.1MB, alloc=4.3MB, time=38.07
x[1] = 0.601
y[1] (analytic) = 11.48081131784008824593599998256
y[1] (numeric) = 11.480811317840088245935999982561
absolute error = 1e-30
relative error = 8.7101858249869080457521935504504e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1327
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.602
y[1] (analytic) = 11.570987697396843281908389850472
y[1] (numeric) = 11.570987697396843281908389850479
absolute error = 7e-30
relative error = 6.0496132076735412365368873386049e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1317
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1010.9MB, alloc=4.3MB, time=38.21
x[1] = 0.603
y[1] (analytic) = 11.66253925170600193797435752277
y[1] (numeric) = 11.662539251706001937974357522772
absolute error = 2e-30
relative error = 1.7148924062205741542580610244756e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1307
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.604
y[1] (analytic) = 11.755497793107633044604267409088
y[1] (numeric) = 11.755497793107633044604267409087
absolute error = 1e-30
relative error = 8.5066580556572439564118587035858e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1297
Order of pole = 651
memory used=1014.7MB, alloc=4.3MB, time=38.36
TOP MAIN SOLVE Loop
x[1] = 0.605
y[1] (analytic) = 11.849896122656190553615986765695
y[1] (numeric) = 11.849896122656190553615986765701
absolute error = 6e-30
relative error = 5.0633355245438907704043459604940e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1287
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1018.5MB, alloc=4.3MB, time=38.50
x[1] = 0.606
y[1] (analytic) = 11.945768068832765196641366254518
y[1] (numeric) = 11.945768068832765196641366254513
absolute error = 5e-30
relative error = 4.1855826860102062724415865182716e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1277
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.607
y[1] (analytic) = 12.043148528090583860223249980422
y[1] (numeric) = 12.043148528090583860223249980427
absolute error = 5e-30
relative error = 4.1517382172423805488123920228864e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1267
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1022.3MB, alloc=4.3MB, time=38.65
x[1] = 0.608
y[1] (analytic) = 12.142073507335846398549817066383
y[1] (numeric) = 12.142073507335846398549817066383
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1257
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.609
y[1] (analytic) = 12.242580168452539036785934425677
y[1] (numeric) = 12.242580168452539036785934425671
absolute error = 6e-30
relative error = 4.9009276781876278507989301234716e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1247
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1026.1MB, alloc=4.3MB, time=38.79
x[1] = 0.61
y[1] (analytic) = 12.344706874986889462649987803789
y[1] (numeric) = 12.344706874986889462649987803788
absolute error = 1e-30
relative error = 8.1006378695489441271441809473277e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1237
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.611
y[1] (analytic) = 12.448493241114669996729031881813
y[1] (numeric) = 12.44849324111466999672903188181
absolute error = 3e-30
relative error = 2.4099302155634799617323534565553e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1227
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1030.0MB, alloc=4.3MB, time=38.94
x[1] = 0.612
y[1] (analytic) = 12.553980183022654218614706928959
y[1] (numeric) = 12.553980183022654218614706928958
absolute error = 1e-30
relative error = 7.9656012310131544142102975764276e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1217
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.613
y[1] (analytic) = 12.661209972844235311016508324242
y[1] (numeric) = 12.661209972844235311016508324245
absolute error = 3e-30
relative error = 2.3694417882922725116406087546026e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1207
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1033.8MB, alloc=4.3MB, time=39.09
x[1] = 0.614
y[1] (analytic) = 12.770226295298571618337010477889
y[1] (numeric) = 12.770226295298571618337010477883
absolute error = 6e-30
relative error = 4.6984288776534310025989771468586e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1197
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.615
y[1] (analytic) = 12.881074307192691625826186183482
y[1] (numeric) = 12.881074307192691625826186183475
absolute error = 7e-30
relative error = 5.4343293370268460360938554869822e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1187
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1037.6MB, alloc=4.3MB, time=39.23
x[1] = 0.616
y[1] (analytic) = 12.993800699956827028362943944915
y[1] (numeric) = 12.993800699956827028362943944908
absolute error = 7e-30
relative error = 5.3871843670984256944840112952920e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1177
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.617
y[1] (analytic) = 13.10845376539491473383892362987
y[1] (numeric) = 13.108453765394914733838923629873
absolute error = 3e-30
relative error = 2.2885994440623637016493076100408e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1167
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1041.4MB, alloc=4.3MB, time=39.38
x[1] = 0.618
y[1] (analytic) = 13.22508346484478876572716944166
y[1] (numeric) = 13.225083464844788765727169441664
absolute error = 4e-30
relative error = 3.0245555807892547772908197759915e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1157
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.619
y[1] (analytic) = 13.343741501956150250450732643373
y[1] (numeric) = 13.343741501956150250450732643379
absolute error = 6e-30
relative error = 4.4964899830534179632827004234014e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1147
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1045.2MB, alloc=4.3MB, time=39.52
x[1] = 0.62
y[1] (analytic) = 13.464481399309044813511741427646
y[1] (numeric) = 13.464481399309044813511741427648
absolute error = 2e-30
relative error = 1.4853895524729483911082276810027e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1137
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.621
y[1] (analytic) = 13.587358579111387053447290614568
y[1] (numeric) = 13.587358579111387053447290614571
absolute error = 3e-30
relative error = 2.2079346640722864714178420578326e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1127
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1049.0MB, alloc=4.3MB, time=39.66
x[1] = 0.622
y[1] (analytic) = 13.712430448231155987866213509321
y[1] (numeric) = 13.712430448231155987866213509312
absolute error = 9e-30
relative error = 6.5633878939097634129078604671829e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1117
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1052.8MB, alloc=4.3MB, time=39.80
x[1] = 0.623
y[1] (analytic) = 13.839756487837358545503341065429
y[1] (numeric) = 13.839756487837358545503341065436
absolute error = 7e-30
relative error = 5.0578924608621063901570504682990e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1107
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.624
y[1] (analytic) = 13.969398347943846925671353214794
y[1] (numeric) = 13.969398347943846925671353214794
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1097
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1056.7MB, alloc=4.3MB, time=39.95
x[1] = 0.625
y[1] (analytic) = 14.101419947171719387646083651988
y[1] (numeric) = 14.101419947171719387646083651986
absolute error = 2e-30
relative error = 1.4182968860530489757796178586960e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1087
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.626
y[1] (analytic) = 14.235887578069486433615570305264
y[1] (numeric) = 14.235887578069486433615570305271
absolute error = 7e-30
relative error = 4.9171503790066193761432203532908e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1077
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1060.5MB, alloc=4.3MB, time=40.09
x[1] = 0.627
y[1] (analytic) = 14.372870018355614917880000170341
y[1] (numeric) = 14.372870018355614917880000170339
absolute error = 2e-30
relative error = 1.3915105316097598132868914311196e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1067
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.628
y[1] (analytic) = 14.512438648475658500321819042864
y[1] (numeric) = 14.51243864847565850032181904286
absolute error = 4e-30
relative error = 2.7562562687699269491302302832628e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1057
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1064.3MB, alloc=4.3MB, time=40.24
x[1] = 0.629
y[1] (analytic) = 14.654667575896150874173607154267
y[1] (numeric) = 14.654667575896150874173607154261
absolute error = 6e-30
relative error = 4.0942586851091316208342288728752e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1047
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.63
y[1] (analytic) = 14.799633766590007084538576890428
y[1] (numeric) = 14.799633766590007084538576890434
absolute error = 6e-30
relative error = 4.0541543761339060284600235190310e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1037
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1068.1MB, alloc=4.3MB, time=40.38
x[1] = 0.631
y[1] (analytic) = 14.947417184203601263308138137697
y[1] (numeric) = 14.947417184203601263308138137689
absolute error = 8e-30
relative error = 5.3520952157904463993529775369376e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1027
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.632
y[1] (analytic) = 15.098100937434246877927700626396
y[1] (numeric) = 15.098100937434246877927700626395
absolute error = 1e-30
relative error = 6.6233495467009296453957910193547e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1017
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1071.9MB, alloc=4.3MB, time=40.53
x[1] = 0.633
y[1] (analytic) = 15.251771436188809421366539559023
y[1] (numeric) = 15.251771436188809421366539559024
absolute error = 1e-30
relative error = 6.5566154343700623257696756702524e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1007
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.634
y[1] (analytic) = 15.408518557139976999480931077028
y[1] (numeric) = 15.408518557139976999480931077034
absolute error = 6e-30
relative error = 3.8939499457718657158029549795063e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.0997
Order of pole = 651
memory used=1075.7MB, alloc=4.3MB, time=40.67
TOP MAIN SOLVE Loop
x[1] = 0.63598404094770977956435079636215
y[1] (analytic) = 15.728990118799854947817392823411
y[1] (numeric) = 15.728990118799854947817392823411
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.00098703544634808129080768261232708
Real estimate of pole used for equation 1
Radius of convergence = 0.09772
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1079.5MB, alloc=4.3MB, time=40.82
x[1] = 0.63696120603959438004225040214836
y[1] (analytic) = 15.891648827152134399189249659825
y[1] (numeric) = 15.891648827152134399189249659825
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.00097716509188460047789960578620866
Real estimate of pole used for equation 1
Radius of convergence = 0.09674
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.63792859948056013451537101187671
y[1] (analytic) = 16.055944679442236565441354631468
y[1] (numeric) = 16.055944679442236565441354631475
absolute error = 7e-30
relative error = 4.3597559282591967949146711125605e-29 %
Correct digits = 30
h = 0.00096739344096575447312060972835137
Real estimate of pole used for equation 1
Radius of convergence = 0.09577
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1083.4MB, alloc=4.3MB, time=40.96
x[1] = 0.63888631898711623144376041550778
y[1] (analytic) = 16.221894276021271625041972240427
y[1] (numeric) = 16.221894276021271625041972240408
absolute error = 1.9e-29
relative error = 1.1712565546728561029946788161143e-28 %
Correct digits = 29
h = 0.00095771950655609692838940363107071
Real estimate of pole used for equation 1
Radius of convergence = 0.09481
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1087.2MB, alloc=4.3MB, time=41.10
x[1] = 0.63983446129860676740286592510254
y[1] (analytic) = 16.389514384179317292884723366272
y[1] (numeric) = 16.38951438417931729288472336628
absolute error = 8e-30
relative error = 4.8811696383892518553546019012769e-29 %
Correct digits = 30
h = 0.00094814231149053595910550959476189
Real estimate of pole used for equation 1
Radius of convergence = 0.09387
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.64077312218698239800238037960136
y[1] (analytic) = 16.558821939841522565969359105102
y[1] (numeric) = 16.558821939841522565969359105113
absolute error = 1.1e-29
relative error = 6.6429846519053011304944850641160e-29 %
Correct digits = 30
h = 0.00093866088837563059951445449881521
Real estimate of pole used for equation 1
Radius of convergence = 0.09293
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1091.0MB, alloc=4.3MB, time=41.25
x[1] = 0.64170239646647427229589968955519
y[1] (analytic) = 16.729834049281185775586990610531
y[1] (numeric) = 16.729834049281185775586990610511
absolute error = 2.0e-29
relative error = 1.1954691206790135619301368657787e-28 %
Correct digits = 29
h = 0.00092927427949187429351930995382707
Real estimate of pole used for equation 1
Radius of convergence = 0.092
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.64262237800317122784648380640948
y[1] (analytic) = 16.902567990849981549228436942517
y[1] (numeric) = 16.902567990849981549228436942497
absolute error = 2.0e-29
relative error = 1.1832521549877379017231591658147e-28 %
Correct digits = 29
h = 0.00091998153669695555058411685428972
Real estimate of pole used for equation 1
Radius of convergence = 0.09108
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1094.8MB, alloc=4.3MB, time=41.39
x[1] = 0.64353315972450121384156208209523
y[1] (analytic) = 17.07704121672551297283879401745
y[1] (numeric) = 17.077041216725512972838794017435
absolute error = 1.5e-29
relative error = 8.7837230171399789517988964847239e-29 %
Correct digits = 30
h = 0.00091078172132998599507827568574773
Real estimate of pole used for equation 1
Radius of convergence = 0.09017
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.64443483362861789997668957502412
y[1] (analytic) = 17.253271354676366950659849340898
y[1] (numeric) = 17.253271354676366950659849340898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.00090167390411668613512749292889205
Real estimate of pole used for equation 1
Radius of convergence = 0.08927
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1098.6MB, alloc=4.3MB, time=41.54
x[1] = 0.64532749079369341925046579302372
y[1] (analytic) = 17.431276209844852485858446273719
y[1] (numeric) = 17.431276209844852485858446273733
absolute error = 1.4e-29
relative error = 8.0315404514633684148231320895527e-29 %
Correct digits = 30
h = 0.00089265716507551927377621799960491
Real estimate of pole used for equation 1
Radius of convergence = 0.08837
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.64621122138711818333150424884333
y[1] (analytic) = 17.611073766547603350560999653583
y[1] (numeric) = 17.611073766547603350560999653585
absolute error = 2e-30
relative error = 1.1356490958541201507592796000089e-29 %
Correct digits = 30
h = 0.00088373059342476408103845581961149
Real estimate of pole used for equation 1
Radius of convergence = 0.08749
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1102.4MB, alloc=4.3MB, time=41.68
x[1] = 0.64708611467460869977173232010474
y[1] (analytic) = 17.792682190094228378933465317426
y[1] (numeric) = 17.792682190094228378933465317419
absolute error = 7e-30
relative error = 3.9342016707841442400407804557491e-29 %
Correct digits = 30
h = 0.00087489328749051644022807126140759
Real estimate of pole used for equation 1
Radius of convergence = 0.08661
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1106.3MB, alloc=4.3MB, time=41.82
x[1] = 0.64880974194029376621062564329685
y[1] (analytic) = 18.161405214962128645093135915313
y[1] (numeric) = 18.161405214962128645093135915293
absolute error = 2.0e-29
relative error = 1.1012363725865859611294716771527e-28 %
Correct digits = 29
h = 0.00085748291106945516306753264330899
Real estimate of pole used for equation 1
Radius of convergence = 0.08489
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.64965865002225252682206250061373
y[1] (analytic) = 18.348557068491729241941004222328
y[1] (numeric) = 18.348557068491729241941004222326
absolute error = 2e-30
relative error = 1.0900039673606890936922278341566e-29 %
Correct digits = 30
h = 0.00084890808195876061143685731687591
Real estimate of pole used for equation 1
Radius of convergence = 0.08404
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1110.1MB, alloc=4.3MB, time=41.97
x[1] = 0.65049906902339169982738498935744
y[1] (analytic) = 18.537594297048474347234677238966
y[1] (numeric) = 18.537594297048474347234677238943
absolute error = 2.3e-29
relative error = 1.2407219422027173526157131614879e-28 %
Correct digits = 29
h = 0.00084041900113917300532248874371049
Real estimate of pole used for equation 1
Radius of convergence = 0.0832
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1113.9MB, alloc=4.3MB, time=42.11
x[1] = 0.65133108383451948110265425321372
y[1] (analytic) = 18.72853599883132221581477238297
y[1] (numeric) = 18.728535998831322215814772382986
absolute error = 1.6e-29
relative error = 8.5431130340344886760320915246547e-29 %
Correct digits = 30
h = 0.00083201481112778127526926385627669
Real estimate of pole used for equation 1
Radius of convergence = 0.08237
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.65215477849753598456517082443143
y[1] (analytic) = 18.921401464333596485222240240005
y[1] (numeric) = 18.921401464333596485222240240004
absolute error = 1e-30
relative error = 5.2850207839254234874446924813159e-30 %
Correct digits = 31
h = 0.00082369466301650346251657121771312
Real estimate of pole used for equation 1
Radius of convergence = 0.08155
Order of pole = 651
memory used=1117.7MB, alloc=4.3MB, time=42.26
TOP MAIN SOLVE Loop
x[1] = 0.65377753935314479803667472138744
y[1] (analytic) = 19.312981821662724944777678750087
y[1] (numeric) = 19.312981821662724944777678750095
absolute error = 8e-30
relative error = 4.1422914772418352865331915944518e-29 %
Correct digits = 30
h = 0.00080730313922247504361249145048065
Real estimate of pole used for equation 1
Radius of convergence = 0.07992
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1121.5MB, alloc=4.3MB, time=42.40
x[1] = 0.65457676946097504832985108792341
y[1] (analytic) = 19.511736273598550236967445654688
y[1] (numeric) = 19.511736273598550236967445654689
absolute error = 1e-30
relative error = 5.1251205222218287153115523046780e-30 %
Correct digits = 31
h = 0.00079923010783025029317636653596952
Real estimate of pole used for equation 1
Radius of convergence = 0.07912
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.65536800726772699612009569079402
y[1] (analytic) = 19.712493613470976627693838064381
y[1] (numeric) = 19.712493613470976627693838064399
absolute error = 1.8e-29
relative error = 9.1312648480450461452884305619338e-29 %
Correct digits = 30
h = 0.00079123780675194779024460287060905
Real estimate of pole used for equation 1
Radius of convergence = 0.07833
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1125.3MB, alloc=4.3MB, time=42.55
x[1] = 0.65615133269641142443243784763593
y[1] (analytic) = 19.915274122893755038852343700327
y[1] (numeric) = 19.915274122893755038852343700333
absolute error = 6e-30
relative error = 3.0127629491690773691933663893140e-29 %
Correct digits = 30
h = 0.00078332542868442831234215684190529
Real estimate of pole used for equation 1
Radius of convergence = 0.07755
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1129.1MB, alloc=4.3MB, time=42.69
x[1] = 0.65769456212346261665058313083016
y[1] (analytic) = 20.326986800384588955364926421691
y[1] (numeric) = 20.326986800384588955364926421702
absolute error = 1.1e-29
relative error = 5.4115251355365069259155013045716e-29 %
Correct digits = 30
h = 0.00076773725265360818892654792074835
Real estimate of pole used for equation 1
Radius of convergence = 0.07601
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.6584546220035896887576204132717
y[1] (analytic) = 20.535960561452523038753264632629
y[1] (numeric) = 20.535960561452523038753264632617
absolute error = 1.2e-29
relative error = 5.8434081834598300859166255398197e-29 %
Correct digits = 30
h = 0.00076005988012707210703728244154163
Real estimate of pole used for equation 1
Radius of convergence = 0.07525
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1133.0MB, alloc=4.3MB, time=42.83
x[1] = 0.65920708128491549014358732288883
y[1] (analytic) = 20.747040682274773641757002714727
y[1] (numeric) = 20.747040682274773641757002714739
absolute error = 1.2e-29
relative error = 5.7839574249508246544141425418159e-29 %
Correct digits = 30
h = 0.00075245928132580138596690961713367
Real estimate of pole used for equation 1
Radius of convergence = 0.07449
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1136.8MB, alloc=4.3MB, time=42.97
x[1] = 0.66068950131505545145408073152553
y[1] (analytic) = 21.175605514036759571745888012407
y[1] (numeric) = 21.175605514036759571745888012394
absolute error = 1.3e-29
relative error = 6.1391396772019752811200705585923e-29 %
Correct digits = 30
h = 0.00073748534162741793838616811574981
Real estimate of pole used for equation 1
Radius of convergence = 0.07301
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1140.6MB, alloc=4.3MB, time=43.12
x[1] = 0.66141961180326659521308303796013
y[1] (analytic) = 21.393133519725313020133977059841
y[1] (numeric) = 21.393133519725313020133977059823
absolute error = 1.8e-29
relative error = 8.4139146719218528399144321800644e-29 %
Correct digits = 30
h = 0.00073011048821114375900230643459955
Real estimate of pole used for equation 1
Radius of convergence = 0.07228
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.66214242118659562753449532133037
y[1] (analytic) = 21.612854479041658165856884308757
y[1] (numeric) = 21.612854479041658165856884308747
absolute error = 1.0e-29
relative error = 4.6268761073171362478464836146800e-29 %
Correct digits = 30
h = 0.00072280938332903232141228337024283
Real estimate of pole used for equation 1
Radius of convergence = 0.07156
Order of pole = 651
memory used=1144.4MB, alloc=4.3MB, time=43.26
TOP MAIN SOLVE Loop
x[1] = 0.66356642795269215411090966079809
y[1] (analytic) = 22.058964268576213399064234906859
y[1] (numeric) = 22.058964268576213399064234906841
absolute error = 1.8e-29
relative error = 8.1599479381004511930605183533830e-29 %
Correct digits = 30
h = 0.00070842547660078457821617893117291
Real estimate of pole used for equation 1
Radius of convergence = 0.07013
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1148.2MB, alloc=4.3MB, time=43.41
x[1] = 0.66426776917452693084334367793996
y[1] (analytic) = 22.285398165314475985929088471267
y[1] (numeric) = 22.285398165314475985929088471287
absolute error = 2.0e-29
relative error = 8.9744862764572346414706311840647e-29 %
Correct digits = 30
h = 0.00070134122183477673243401714186952
Real estimate of pole used for equation 1
Radius of convergence = 0.06943
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1152.0MB, alloc=4.3MB, time=43.55
x[1] = 0.66564948151566362448391193511115
y[1] (analytic) = 22.745138337517136189797101049996
y[1] (numeric) = 22.745138337517136189797101049999
absolute error = 3e-30
relative error = 1.3189631803872689018594761374206e-29 %
Correct digits = 30
h = 0.00068738453152026467545858020074497
Real estimate of pole used for equation 1
Radius of convergence = 0.06805
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.66632999220186868651261592950989
y[1] (analytic) = 22.978491055998233320578817722804
y[1] (numeric) = 22.978491055998233320578817722805
absolute error = 1e-30
relative error = 4.3518958558375970153108053901074e-30 %
Correct digits = 31
h = 0.00068051068620506202870399439873618
Real estimate of pole used for equation 1
Radius of convergence = 0.06737
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1155.8MB, alloc=4.3MB, time=43.69
x[1] = 0.66700369778121169792103288396463
y[1] (analytic) = 23.214196881934149855376487002558
y[1] (numeric) = 23.214196881934149855376487002534
absolute error = 2.4e-29
relative error = 1.0338501100021849629138799987333e-28 %
Correct digits = 29
h = 0.00067370557934301140841695445474482
Real estimate of pole used for equation 1
Radius of convergence = 0.0667
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1159.7MB, alloc=4.3MB, time=43.84
x[1] = 0.66833096514307536469675512593593
y[1] (analytic) = 23.692763339638770620915882947249
y[1] (numeric) = 23.692763339638770620915882947241
absolute error = 8e-30
relative error = 3.3765584390976199278744185823308e-29 %
Correct digits = 30
h = 0.00066029883831408548138945706109737
Real estimate of pole used for equation 1
Radius of convergence = 0.06537
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1163.5MB, alloc=4.3MB, time=43.98
x[1] = 0.669631819884437944503640495292
y[1] (analytic) = 24.181031092635539111424430361958
y[1] (numeric) = 24.181031092635539111424430361971
absolute error = 1.3e-29
relative error = 5.3761148357148503663316858938115e-29 %
Correct digits = 30
h = 0.00064715889143163518030980686557834
Real estimate of pole used for equation 1
Radius of convergence = 0.06407
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.67027250718695526333214720408893
y[1] (analytic) = 24.428864456204060663846302712121
y[1] (numeric) = 24.428864456204060663846302712132
absolute error = 1.1e-29
relative error = 4.5028699634077310370276771248257e-29 %
Correct digits = 30
h = 0.00064068730251731882850670879692573
Real estimate of pole used for equation 1
Radius of convergence = 0.06343
Order of pole = 651
memory used=1167.3MB, alloc=4.3MB, time=44.13
TOP MAIN SOLVE Loop
memory used=1171.1MB, alloc=4.3MB, time=44.27
x[1] = 0.67153472524164463315618827108975
y[1] (analytic) = 24.932055338191596782755898194175
y[1] (numeric) = 24.932055338191596782755898194184
absolute error = 9e-30
relative error = 3.6098106946736784065669431529874e-29 %
Correct digits = 30
h = 0.0006279376251972241838194252918607
Real estimate of pole used for equation 1
Radius of convergence = 0.06217
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.6721563834905898850981695021287
y[1] (analytic) = 25.187463687774077661890954528111
y[1] (numeric) = 25.187463687774077661890954528077
absolute error = 3.4e-29
relative error = 1.3498778766082550060546219516247e-28 %
Correct digits = 29
h = 0.00062165824894525194198123103894641
Real estimate of pole used for equation 1
Radius of convergence = 0.06154
Order of pole = 651
memory used=1174.9MB, alloc=4.3MB, time=44.41
TOP MAIN SOLVE Loop
x[1] = 0.67338111240683692594906672539853
y[1] (analytic) = 25.706035210041725234581493471247
y[1] (numeric) = 25.706035210041725234581493471198
absolute error = 4.9e-29
relative error = 1.9061671548967144174510136987174e-28 %
Correct digits = 29
h = 0.00060928724979124142833580454126716
Real estimate of pole used for equation 1
Radius of convergence = 0.06032
Order of pole = 651
memory used=1178.7MB, alloc=4.3MB, time=44.56
TOP MAIN SOLVE Loop
x[1] = 0.67458146921765065068703109392529
y[1] (analytic) = 26.235121552230589216573516093872
y[1] (numeric) = 26.235121552230589216573516093876
absolute error = 4e-30
relative error = 1.5246737058322902747510736080565e-29 %
Correct digits = 30
h = 0.00059716243352039572391192203090187
Real estimate of pole used for equation 1
Radius of convergence = 0.05912
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1182.5MB, alloc=4.3MB, time=44.70
x[1] = 0.67517266002683584245370389673588
y[1] (analytic) = 26.503674422297653985929980858926
y[1] (numeric) = 26.503674422297653985929980858885
absolute error = 4.1e-29
relative error = 1.5469553144490231764513440996012e-28 %
Correct digits = 29
h = 0.00059119080918519176667280281059403
Real estimate of pole used for equation 1
Radius of convergence = 0.05853
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1186.4MB, alloc=4.3MB, time=44.84
x[1] = 0.67633736504001158875322598555303
y[1] (analytic) = 27.048935204148030035685199510879
y[1] (numeric) = 27.048935204148030035685199510847
absolute error = 3.2e-29
relative error = 1.1830410239251381067048714882840e-28 %
Correct digits = 29
h = 0.00057942611208240645051601403466207
Real estimate of pole used for equation 1
Radius of convergence = 0.05736
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1190.2MB, alloc=4.3MB, time=44.99
x[1] = 0.67747889242342513770138758480272
y[1] (analytic) = 27.605253438567085069823131847904
y[1] (numeric) = 27.605253438567085069823131847885
absolute error = 1.9e-29
relative error = 6.8827478951724629491261079320935e-29 %
Correct digits = 30
h = 0.00056789553245196656215074535536949
Real estimate of pole used for equation 1
Radius of convergence = 0.05622
Order of pole = 651
TOP MAIN SOLVE Loop
x[1] = 0.67804110900055258459791682270454
y[1] (analytic) = 27.887629171328436511596661370924
y[1] (numeric) = 27.887629171328436511596661370897
absolute error = 2.7e-29
relative error = 9.6817122151634828267692946340123e-29 %
Correct digits = 30
h = 0.00056221657712744689652923790181524
Real estimate of pole used for equation 1
Radius of convergence = 0.05566
Order of pole = 651
memory used=1194.0MB, alloc=4.3MB, time=45.13
TOP MAIN SOLVE Loop
x[1] = 0.67914873187915136772876907429491
y[1] (analytic) = 28.460956492273009279672589518717
y[1] (numeric) = 28.460956492273009279672589518679
absolute error = 3.8e-29
relative error = 1.3351624359608851428728159560524e-28 %
Correct digits = 29
h = 0.00055102846724261070328830606756858
Real estimate of pole used for equation 1
Radius of convergence = 0.05455
Order of pole = 651
memory used=1197.8MB, alloc=4.3MB, time=45.28
TOP MAIN SOLVE Loop
memory used=1201.6MB, alloc=4.3MB, time=45.42
x[1] = 0.68023431306246603507531736607864
y[1] (analytic) = 29.04591182358243237956716750321
y[1] (numeric) = 29.045911823582432379567167503158
absolute error = 5.2e-29
relative error = 1.7902691544281663323260823428020e-28 %
Correct digits = 29
h = 0.00054006300074448275029286877682932
Real estimate of pole used for equation 1
Radius of convergence = 0.05347
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1205.4MB, alloc=4.3MB, time=45.57
x[1] = 0.68129829118023274054166934685587
y[1] (analytic) = 29.642731527849135317486574385353
y[1] (numeric) = 29.642731527849135317486574385348
absolute error = 5e-30
relative error = 1.6867541357659754070141353231472e-29 %
Correct digits = 30
h = 0.00052931574702966754356204068816781
Real estimate of pole used for equation 1
Radius of convergence = 0.0524
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1209.3MB, alloc=4.3MB, time=45.71
x[1] = 0.68234109613345588856924092321562
y[1] (analytic) = 30.251656761012976242023515231718
y[1] (numeric) = 30.251656761012976242023515231702
absolute error = 1.6e-29
relative error = 5.2889665271556651948186950157803e-29 %
Correct digits = 30
h = 0.00051878236366377715944515607847431
Real estimate of pole used for equation 1
Radius of convergence = 0.05136
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1213.1MB, alloc=4.3MB, time=45.86
x[1] = 0.68336314926810989595106382520582
y[1] (analytic) = 30.872933569820081768537549734145
y[1] (numeric) = 30.872933569820081768537549734094
absolute error = 5.1e-29
relative error = 1.6519324243892127404429090993110e-28 %
Correct digits = 29
h = 0.00050845859462686799397219747251419
Real estimate of pole used for equation 1
Radius of convergence = 0.05034
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1216.9MB, alloc=4.3MB, time=46.01
x[1] = 0.68436486354538428858598845144642
y[1] (analytic) = 31.506812991256951436528138257379
y[1] (numeric) = 31.506812991256951436528138257347
absolute error = 3.2e-29
relative error = 1.0156533448457610269131035995355e-28 %
Correct digits = 29
h = 0.00049834026859379332089215074281166
Real estimate of pole used for equation 1
Radius of convergence = 0.04934
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1220.7MB, alloc=4.3MB, time=46.15
x[1] = 0.68534664370854092080747807762483
y[1] (analytic) = 32.153551154000043458214630245371
y[1] (numeric) = 32.153551154000043458214630245305
absolute error = 6.6e-29
relative error = 2.0526504112684707035976641547096e-28 %
Correct digits = 29
h = 0.00048842329724877683380639694302875
Real estimate of pole used for equation 1
Radius of convergence = 0.04835
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1224.5MB, alloc=4.3MB, time=46.29
x[1] = 0.68630888644645073604776006024229
y[1] (analytic) = 32.813409381921870795822309770229
y[1] (numeric) = 32.813409381921870795822309770209
absolute error = 2.0e-29
relative error = 6.0950691734638049536626080803317e-29 %
Correct digits = 30
h = 0.00047870367363352617481364964386343
Real estimate of pole used for equation 1
Radius of convergence = 0.04739
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1228.3MB, alloc=4.3MB, time=46.44
x[1] = 0.68725198055387614596476043140566
y[1] (analytic) = 33.486654299695465666235954352649
y[1] (numeric) = 33.486654299695465666235954352671
absolute error = 2.2e-29
relative error = 6.5697814428120017954335361453711e-29 %
Correct digits = 30
h = 0.00046917747052821900393485801595102
Real estimate of pole used for equation 1
Radius of convergence = 0.04645
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1232.1MB, alloc=4.3MB, time=46.58
x[1] = 0.68817630708856379022441249518288
y[1] (analytic) = 34.173557940539916643793280037163
y[1] (numeric) = 34.173557940539916643793280037073
absolute error = 9.0e-29
relative error = 2.6336151522939161466173732777826e-28 %
Correct digits = 29
h = 0.0004598408388647074457565543414286
Real estimate of pole used for equation 1
Radius of convergence = 0.04552
Order of pole = 651
memory used=1236.0MB, alloc=4.3MB, time=46.72
TOP MAIN SOLVE Loop
x[1] = 0.68908223952521115036329748289093
y[1] (analytic) = 34.874397856150545951357907861324
y[1] (numeric) = 34.874397856150545951357907861272
absolute error = 5.2e-29
relative error = 1.4910651709167541985189335838187e-28 %
Correct digits = 29
h = 0.00045069000617129976758599891003462
Real estimate of pole used for equation 1
Radius of convergence = 0.04462
Order of pole = 651
memory used=1239.8MB, alloc=4.3MB, time=46.87
TOP MAIN SOLVE Loop
memory used=1243.6MB, alloc=4.3MB, time=47.01
x[1] = 0.69040744796866723402860758650001
y[1] (analytic) = 35.952409273842674684112757977284
y[1] (numeric) = 35.952409273842674684112757977278
absolute error = 6e-30
relative error = 1.6688728575320611474380512686748e-29 %
Correct digits = 30
h = 0.00043730406229800599318892715641073
Real estimate of pole used for equation 1
Radius of convergence = 0.04329
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1247.4MB, alloc=4.3MB, time=47.15
x[1] = 0.69126898070180053563578909189085
y[1] (analytic) = 36.689341398265589409673768879239
y[1] (numeric) = 36.689341398265589409673768879223
absolute error = 1.6e-29
relative error = 4.3609395508953905545125289045715e-29 %
Correct digits = 30
h = 0.00042860171145827567392446750599605
Real estimate of pole used for equation 1
Radius of convergence = 0.04243
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1251.2MB, alloc=4.3MB, time=47.30
x[1] = 0.69211336893354448454098768532442
y[1] (analytic) = 37.441226326336746294522009555031
y[1] (numeric) = 37.441226326336746294522009554989
absolute error = 4.2e-29
relative error = 1.1217581292324429220574839277111e-28 %
Correct digits = 29
h = 0.00042007253740025598801337060262549
Real estimate of pole used for equation 1
Radius of convergence = 0.04159
Order of pole = 651
memory used=1255.0MB, alloc=4.3MB, time=47.44
TOP MAIN SOLVE Loop
x[1] = 0.69334854980244365984788621223102
y[1] (analytic) = 38.597756483163226199480611810685
y[1] (numeric) = 38.597756483163226199480611810682
absolute error = 3e-30
relative error = 7.7724724785717367016519369027580e-30 %
Correct digits = 31
h = 0.00040759596296693098491338548235812
Real estimate of pole used for equation 1
Radius of convergence = 0.04035
Order of pole = 651
memory used=1258.8MB, alloc=4.3MB, time=47.58
TOP MAIN SOLVE Loop
x[1] = 0.69415155460908481058126407296982
y[1] (analytic) = 39.388366090208518825015433370925
y[1] (numeric) = 39.388366090208518825015433370954
absolute error = 2.9e-29
relative error = 7.3625800911830806904715778152003e-29 %
Correct digits = 30
h = 0.0003994848033038890583136091112592
Real estimate of pole used for equation 1
Radius of convergence = 0.03955
Order of pole = 651
memory used=1262.7MB, alloc=4.3MB, time=47.73
TOP MAIN SOLVE Loop
memory used=1266.5MB, alloc=4.3MB, time=47.87
x[1] = 0.69532619932523476266444035088696
y[1] (analytic) = 40.604463413125774025482355351933
y[1] (numeric) = 40.604463413125774025482355351847
absolute error = 8.6e-29
relative error = 2.1179937566223247408607028299610e-28 %
Correct digits = 29
h = 0.00038761970516096024939263660704455
Real estimate of pole used for equation 1
Radius of convergence = 0.03837
Order of pole = 651
memory used=1270.3MB, alloc=4.3MB, time=48.02
TOP MAIN SOLVE Loop
x[1] = 0.6960898489063723704517687842665
y[1] (analytic) = 41.435794628051269113657434877196
y[1] (numeric) = 41.435794628051269113657434877095
absolute error = 1.01e-28
relative error = 2.4375060477692603941968797640538e-28 %
Correct digits = 29
h = 0.00037990607302825714042972313856663
Real estimate of pole used for equation 1
Radius of convergence = 0.03761
Order of pole = 651
memory used=1274.1MB, alloc=4.3MB, time=48.16
TOP MAIN SOLVE Loop
memory used=1277.9MB, alloc=4.3MB, time=48.30
x[1] = 0.69720692434359858471923120175342
y[1] (analytic) = 42.714530742492370287480681955595
y[1] (numeric) = 42.714530742492370287480681955608
absolute error = 1.3e-29
relative error = 3.0434608022200776897832439594060e-29 %
Correct digits = 30
h = 0.00036862248275324487510181993162734
Real estimate of pole used for equation 1
Radius of convergence = 0.03649
Order of pole = 651
memory used=1281.7MB, alloc=4.3MB, time=48.45
TOP MAIN SOLVE Loop
x[1] = 0.69829082152326374319673571797856
y[1] (analytic) = 44.032389990970916245440552984853
y[1] (numeric) = 44.032389990970916245440552984742
absolute error = 1.11e-28
relative error = 2.5208715680152987498997382163555e-28 %
Correct digits = 29
h = 0.00035767402639299074906642077784022
Real estimate of pole used for equation 1
Radius of convergence = 0.03541
Order of pole = 651
memory used=1285.5MB, alloc=4.3MB, time=48.59
TOP MAIN SOLVE Loop
memory used=1289.4MB, alloc=4.3MB, time=48.73
x[1] = 0.6993425258727956668022998725673
y[1] (analytic) = 45.390570523900458120295589938597
y[1] (numeric) = 45.390570523900458120295589938585
absolute error = 1.2e-29
relative error = 2.6437209009482235814845476926436e-29 %
Correct digits = 30
h = 0.00034705075013509253082839901431554
Real estimate of pole used for equation 1
Radius of convergence = 0.03436
Order of pole = 651
TOP MAIN SOLVE Loop
memory used=1293.2MB, alloc=4.3MB, time=48.88
x[1] = 0.7000262505556368125972849014654
y[1] (analytic) = 46.319033165470321622177929298065
y[1] (numeric) = 46.31903316547032162217792929796
absolute error = 1.05e-28
relative error = 2.2668866948258079896904938218700e-28 %
Correct digits = 29
h = 0.00034014444020740418946491387393033
Real estimate of pole used for equation 1
Radius of convergence = 0.03367
Order of pole = 651
memory used=1297.0MB, alloc=4.3MB, time=49.02
TOP MAIN SOLVE Loop
x[1] = 0.70102641092747822366858334475539
y[1] (analytic) = 47.747178465624295534739815903375
y[1] (numeric) = 47.747178465624295534739815903231
absolute error = 1.44e-28
relative error = 3.0158850140992765037599818087992e-28 %
Correct digits = 29
h = 0.00033004181018880407763361646696204
Real estimate of pole used for equation 1
Radius of convergence = 0.03267
Order of pole = 651
memory used=1300.8MB, alloc=4.3MB, time=49.17
memory used=1304.6MB, alloc=4.3MB, time=49.31
TOP MAIN SOLVE Loop
memory used=1308.4MB, alloc=4.3MB, time=49.45
x[1] = 0.70231390238211611553329973520126
y[1] (analytic) = 49.719577962274192407516441864202
y[1] (numeric) = 49.719577962274192407516441864057
absolute error = 1.45e-28
relative error = 2.9163562110286192149179155277656e-28 %
Correct digits = 29
h = 0.00031703684600054254364658222003374
Real estimate of pole used for equation 1
Radius of convergence = 0.03139
Order of pole = 651
memory used=1312.3MB, alloc=4.3MB, time=49.59
TOP MAIN SOLVE Loop
x[1] = 0.70324611720705926482809560191446
y[1] (analytic) = 51.251775328937145950664890007971
y[1] (numeric) = 51.251775328937145950664890007984
absolute error = 1.3e-29
relative error = 2.5364975001480778293102060290622e-29 %
Correct digits = 30
h = 0.00030762053463748042955773508151561
Real estimate of pole used for equation 1
Radius of convergence = 0.03045
Order of pole = 651
memory used=1316.1MB, alloc=4.3MB, time=49.74
TOP MAIN SOLVE Loop
memory used=1319.9MB, alloc=4.3MB, time=49.88
x[1] = 0.70415064431948677764568673659041
y[1] (analytic) = 52.830857565646458492636720683295
y[1] (numeric) = 52.830857565646458492636720683373
absolute error = 7.8e-29
relative error = 1.4764098785085765490815269465965e-28 %
Correct digits = 29
h = 0.00029848389713821262331944079185863
Real estimate of pole used for equation 1
Radius of convergence = 0.02955
Order of pole = 651
memory used=1323.7MB, alloc=4.3MB, time=50.03
TOP MAIN SOLVE Loop
x[1] = 0.70502830607214808090508259697535
y[1] (analytic) = 54.458260309291993537803720079419
y[1] (numeric) = 54.458260309291993537803720079349
absolute error = 7.0e-29
relative error = 1.2853881046225081493886407205266e-28 %
Correct digits = 29
h = 0.00028961862690931057019423008090165
Real estimate of pole used for equation 1
Radius of convergence = 0.02867
Order of pole = 651
memory used=1327.5MB, alloc=4.3MB, time=50.17
memory used=1331.3MB, alloc=4.3MB, time=50.31
TOP MAIN SOLVE Loop
x[1] = 0.70615810689052435316195054325173
y[1] (analytic) = 56.705859638050944804207267580481
y[1] (numeric) = 56.705859638050944804207267580411
absolute error = 7.0e-29
relative error = 1.2344403285093376698552631634139e-28 %
Correct digits = 29
h = 0.00027820649743076236557940234073418
Real estimate of pole used for equation 1
Radius of convergence = 0.02754
Order of pole = 651
memory used=1335.1MB, alloc=4.3MB, time=50.46
memory used=1339.0MB, alloc=4.3MB, time=50.60
TOP MAIN SOLVE Loop
memory used=1342.8MB, alloc=4.3MB, time=50.74
x[1] = 0.70724338904875133497057158754172
y[1] (analytic) = 59.045630613043562779190517666138
y[1] (numeric) = 59.045630613043562779190517666014
absolute error = 1.24e-28
relative error = 2.1000707200950377473265657310814e-28 %
Correct digits = 29
h = 0.00026724405138806557963373522669842
Real estimate of pole used for equation 1
Radius of convergence = 0.02646
Order of pole = 651
memory used=1346.6MB, alloc=4.3MB, time=51.01
TOP MAIN SOLVE Loop
x[1] = 0.70802919319020875161286104296856
y[1] (analytic) = 60.86321579194807274059916035016
y[1] (numeric) = 60.863215791948072740599160350088
absolute error = 7.2e-29
relative error = 1.1829805419109200811034587964870e-28 %
Correct digits = 29
h = 0.00025930663581778864385303365672538
Real estimate of pole used for equation 1
Radius of convergence = 0.02567
Order of pole = 651
memory used=1350.4MB, alloc=4.3MB, time=51.35
memory used=1354.2MB, alloc=4.3MB, time=51.69
TOP MAIN SOLVE Loop
x[1] = 0.70904074708259383238176639443682
y[1] (analytic) = 63.373480518373232619207424297974
y[1] (numeric) = 63.373480518373232619207424297917
absolute error = 5.7e-29
relative error = 8.9942984879100282591397746507285e-29 %
Correct digits = 30
h = 0.00024908891973309085830853515704809
Real estimate of pole used for equation 1
Radius of convergence = 0.02466
Order of pole = 651
memory used=1358.0MB, alloc=4.3MB, time=52.04
memory used=1361.8MB, alloc=4.3MB, time=52.38
TOP MAIN SOLVE Loop
x[1] = 0.71001244171551891035190460712488
y[1] (analytic) = 65.986694257988248770756249784241
y[1] (numeric) = 65.986694257988248770756249784059
absolute error = 1.82e-28
relative error = 2.7581318028818720073410127967006e-28 %
Correct digits = 29
h = 0.00023927382243081734345865422080584
Real estimate of pole used for equation 1
Radius of convergence = 0.02369
Order of pole = 651
memory used=1365.7MB, alloc=4.3MB, time=52.72
memory used=1369.5MB, alloc=4.3MB, time=53.06
TOP MAIN SOLVE Loop
memory used=1373.3MB, alloc=4.3MB, time=53.40
x[1] = 0.71117339472717840160371180439758
y[1] (analytic) = 69.404434762661596486567349373348
y[1] (numeric) = 69.404434762661596486567349373455
absolute error = 1.07e-28
relative error = 1.5416882273575431108472140857312e-28 %
Correct digits = 29
h = 0.00022754702433324672475353101602987
Real estimate of pole used for equation 1
Radius of convergence = 0.02253
Order of pole = 651
memory used=1377.1MB, alloc=4.3MB, time=53.74
memory used=1380.9MB, alloc=4.3MB, time=54.09
TOP MAIN SOLVE Loop
x[1] = 0.71206105453364274565407417237099
y[1] (analytic) = 72.264992086666593422651591003856
y[1] (numeric) = 72.264992086666593422651591004014
absolute error = 1.58e-28
relative error = 2.1863975271804136427713748286388e-28 %
Correct digits = 29
h = 0.00021858076366188971414381012740955
Real estimate of pole used for equation 1
Radius of convergence = 0.02164
Order of pole = 651
memory used=1384.7MB, alloc=4.3MB, time=54.43
memory used=1388.5MB, alloc=4.3MB, time=54.77
TOP MAIN SOLVE Loop
memory used=1392.4MB, alloc=4.3MB, time=55.11
x[1] = 0.71312160513331176736210142082926
y[1] (analytic) = 76.006231181486969851825802482818
y[1] (numeric) = 76.006231181486969851825802482654
absolute error = 1.64e-28
relative error = 2.1577178272186964479637644685466e-28 %
Correct digits = 29
h = 0.00020786813134200060598191872883826
Real estimate of pole used for equation 1
Radius of convergence = 0.02058
Order of pole = 651
memory used=1396.2MB, alloc=4.3MB, time=55.45
memory used=1400.0MB, alloc=4.3MB, time=55.79
TOP MAIN SOLVE Loop
x[1] = 0.71413017820101248523970243707113
y[1] (analytic) = 79.940247727623239390493291153298
y[1] (numeric) = 79.94024772762323939049329115308
absolute error = 2.18e-28
relative error = 2.7270368330954071928990641500919e-28 %
Correct digits = 29
h = 0.00019768052459754891024857513043761
Real estimate of pole used for equation 1
Radius of convergence = 0.01957
Order of pole = 651
memory used=1403.8MB, alloc=4.3MB, time=56.14
memory used=1407.6MB, alloc=4.3MB, time=56.48
TOP MAIN SOLVE Loop
memory used=1411.4MB, alloc=4.3MB, time=56.82
x[1] = 0.71508932115299298701238804959928
y[1] (analytic) = 84.076978139538848759552965083849
y[1] (numeric) = 84.076978139538848759552965083908
absolute error = 5.9e-29
relative error = 7.0173787528472187418290835562578e-29 %
Correct digits = 30
h = 0.00018799221195128121557498308470137
Real estimate of pole used for equation 1
Radius of convergence = 0.01861
Order of pole = 651
memory used=1415.3MB, alloc=4.3MB, time=57.16
memory used=1419.1MB, alloc=4.3MB, time=57.50
TOP MAIN SOLVE Loop
memory used=1422.9MB, alloc=4.3MB, time=57.85
x[1] = 0.71600145655675815769702137871443
y[1] (analytic) = 88.426870836660207056425327247633
y[1] (numeric) = 88.42687083666020705642532724715
absolute error = 4.83e-28
relative error = 5.4621405849833238154482696836240e-28 %
Correct digits = 29
h = 0.00017877872302436029956858582090934
Real estimate of pole used for equation 1
Radius of convergence = 0.0177
Order of pole = 651
memory used=1426.7MB, alloc=4.3MB, time=58.19
memory used=1430.5MB, alloc=4.3MB, time=58.53
TOP MAIN SOLVE Loop
memory used=1434.3MB, alloc=4.3MB, time=58.87
x[1] = 0.71703720486876304874768313082737
y[1] (analytic) = 93.943625257907266119247519158296
y[1] (numeric) = 93.943625257907266119247519158582
absolute error = 2.86e-28
relative error = 3.0443790008617672019457981719069e-28 %
Correct digits = 29
h = 0.0001683166188626947334002852945152
Real estimate of pole used for equation 1
Radius of convergence = 0.01666
Order of pole = 651
memory used=1438.1MB, alloc=4.3MB, time=59.21
memory used=1442.0MB, alloc=4.3MB, time=59.55
TOP MAIN SOLVE Loop
memory used=1445.8MB, alloc=4.3MB, time=59.89
x[1] = 0.71801234134429124713590288506658
y[1] (analytic) = 99.803251133152410291137001536891
y[1] (numeric) = 99.803251133152410291137001536603
absolute error = 2.88e-28
relative error = 2.8856775378566083033848152321648e-28 %
Correct digits = 29
h = 0.00015846675547352101230715646381824
Real estimate of pole used for equation 1
Radius of convergence = 0.01569
Order of pole = 651
memory used=1449.6MB, alloc=4.3MB, time=60.24
memory used=1453.4MB, alloc=4.3MB, time=60.58
memory used=1457.2MB, alloc=4.3MB, time=60.92
TOP MAIN SOLVE Loop
x[1] = 0.71907811435053001920902717656913
y[1] (analytic) = 107.10134078723099384925838345374
y[1] (numeric) = 107.10134078723099384925838345304
absolute error = 7.0e-28
relative error = 6.5358658897709757873256047809240e-28 %
Correct digits = 29
h = 0.00014770137157211927419478988298539
Real estimate of pole used for equation 1
memory used=1461.0MB, alloc=4.3MB, time=61.26
Radius of convergence = 0.01462
Order of pole = 651
memory used=1464.8MB, alloc=4.3MB, time=61.60
memory used=1468.7MB, alloc=4.3MB, time=61.95
memory used=1472.5MB, alloc=4.3MB, time=62.29
TOP MAIN SOLVE Loop
x[1] = 0.72007148443837983892514618258517
y[1] (analytic) = 114.93131808515891752028753572216
y[1] (numeric) = 114.93131808515891752028753572194
absolute error = 2.2e-28
relative error = 1.9141866957184806064860247738448e-28 %
Correct digits = 29
h = 0.00013766733028070695382995143837758
Real estimate of pole used for equation 1
Radius of convergence = 0.01363
Order of pole = 651
memory used=1476.3MB, alloc=4.3MB, time=62.63
memory used=1480.1MB, alloc=4.3MB, time=62.97
memory used=1483.9MB, alloc=4.3MB, time=63.31
memory used=1487.7MB, alloc=4.3MB, time=63.66
TOP MAIN SOLVE Loop
x[1] = 0.72112440207352455684867293722092
y[1] (analytic) = 124.58101670108705551467698977843
y[1] (numeric) = 124.58101670108705551467698977893
absolute error = 5.0e-28
relative error = 4.0134525567380215019974505434878e-28 %
Correct digits = 29
h = 0.0001270317986125784899559438157937
Real estimate of pole used for equation 1
Radius of convergence = 0.01258
Order of pole = 651
memory used=1491.5MB, alloc=4.3MB, time=64.00
memory used=1495.4MB, alloc=4.3MB, time=64.34
memory used=1499.2MB, alloc=4.3MB, time=64.68
memory used=1503.0MB, alloc=4.3MB, time=65.02
TOP MAIN SOLVE Loop
x[1] = 0.72209597623502393785445683903642
y[1] (analytic) = 135.03857335968232143077975241778
y[1] (numeric) = 135.03857335968232143077975241858
absolute error = 8.0e-28
relative error = 5.9242332031245475972473328464447e-28 %
Correct digits = 29
h = 0.00011721791819339282323085389846578
Real estimate of pole used for equation 1
Radius of convergence = 0.0116
Order of pole = 651
memory used=1506.8MB, alloc=4.3MB, time=65.36
memory used=1510.6MB, alloc=4.3MB, time=65.70
memory used=1514.4MB, alloc=4.3MB, time=66.04
memory used=1518.3MB, alloc=4.3MB, time=66.38
memory used=1522.1MB, alloc=4.3MB, time=66.72
TOP MAIN SOLVE Loop
x[1] = 0.72309957172777453767897591727688
y[1] (analytic) = 147.85340470543282550548391845842
y[1] (numeric) = 147.85340470543282550548391845891
absolute error = 4.9e-28
relative error = 3.3140934493610285362657883198686e-28 %
Correct digits = 29
h = 0.00010708058998379080480136825967384
Real estimate of pole used for equation 1
Radius of convergence = 0.0106
Order of pole = 651
memory used=1525.9MB, alloc=4.3MB, time=67.06
memory used=1529.7MB, alloc=4.3MB, time=67.41
memory used=1533.5MB, alloc=4.3MB, time=67.75
memory used=1537.3MB, alloc=4.3MB, time=68.09
TOP MAIN SOLVE Loop
memory used=1541.1MB, alloc=4.3MB, time=68.43
x[1] = 0.724016373519899053914615516812
y[1] (analytic) = 161.88136647015435964890556171992
y[1] (numeric) = 161.88136647015435964890556171877
absolute error = 1.15e-27
relative error = 7.1039677084269143804855279934937e-28 %
Correct digits = 29
h = 9.7819965820916903431271294672412e-05
Real estimate of pole used for equation 1
Radius of convergence = 0.009684
Order of pole = 651
memory used=1545.0MB, alloc=4.3MB, time=68.77
memory used=1548.8MB, alloc=4.3MB, time=69.11
memory used=1552.6MB, alloc=4.3MB, time=69.45
memory used=1556.4MB, alloc=4.3MB, time=69.79
memory used=1560.2MB, alloc=4.3MB, time=70.13
TOP MAIN SOLVE Loop
memory used=1564.0MB, alloc=4.3MB, time=70.47
x[1] = 0.72502993635062486932360651636545
y[1] (analytic) = 180.84250726717189023441490061784
y[1] (numeric) = 180.84250726717189023441490061876
absolute error = 9.2e-28
relative error = 5.0872995177003190498093376631000e-28 %
Correct digits = 29
h = 8.7581957429747050815200592112105e-05
Real estimate of pole used for equation 1
Radius of convergence = 0.008671
Order of pole = 651
memory used=1567.8MB, alloc=4.3MB, time=70.82
memory used=1571.7MB, alloc=4.3MB, time=71.16
memory used=1575.5MB, alloc=4.3MB, time=71.50
memory used=1579.3MB, alloc=4.3MB, time=71.84
memory used=1583.1MB, alloc=4.3MB, time=72.18
TOP MAIN SOLVE Loop
memory used=1586.9MB, alloc=4.3MB, time=72.52
x[1] = 0.72601504924816945765245204060369
y[1] (analytic) = 204.06393842541884066288036163794
y[1] (numeric) = 204.06393842541884066288036163959
absolute error = 1.65e-27
relative error = 8.0857010441511250059801707003114e-28 %
Correct digits = 29
h = 7.7631322101013835372316508897741e-05
Real estimate of pole used for equation 1
Radius of convergence = 0.007686
Order of pole = 651
memory used=1590.7MB, alloc=4.3MB, time=72.86
memory used=1594.5MB, alloc=4.3MB, time=73.20
memory used=1598.4MB, alloc=4.3MB, time=73.54
memory used=1602.2MB, alloc=4.3MB, time=73.88
memory used=1606.0MB, alloc=4.3MB, time=74.22
memory used=1609.8MB, alloc=4.3MB, time=74.57
memory used=1613.6MB, alloc=4.3MB, time=74.91
TOP MAIN SOLVE Loop
x[1] = 0.72702380342068724165258456674943
y[1] (analytic) = 234.9435680392472667585912058318
y[1] (numeric) = 234.94356803924726675859120583259
absolute error = 7.9e-28
relative error = 3.3625095872725942820873141556731e-28 %
Correct digits = 29
h = 6.7441886014975613148755638737462e-05
Real estimate of pole used for equation 1
Radius of convergence = 0.006677
Order of pole = 651
memory used=1617.4MB, alloc=4.3MB, time=75.25
memory used=1621.3MB, alloc=4.3MB, time=75.60
memory used=1625.1MB, alloc=4.3MB, time=75.94
memory used=1628.9MB, alloc=4.3MB, time=76.28
memory used=1632.7MB, alloc=4.3MB, time=76.62
memory used=1636.5MB, alloc=4.3MB, time=76.96
memory used=1640.3MB, alloc=4.3MB, time=77.30
memory used=1644.1MB, alloc=4.3MB, time=77.64
TOP MAIN SOLVE Loop
x[1] = 0.72801558225963999312802343662525
y[1] (analytic) = 275.98709855720088046895860183653
y[1] (numeric) = 275.98709855720088046895860184009
memory used=1648.0MB, alloc=4.3MB, time=77.98
absolute error = 3.56e-27
relative error = 1.2899153687295122064491377375509e-27 %
Correct digits = 28
h = 5.7423917944745800265534730900924e-05
Real estimate of pole used for equation 1
Radius of convergence = 0.005685
Order of pole = 651
memory used=1651.8MB, alloc=4.3MB, time=78.33
memory used=1655.6MB, alloc=4.3MB, time=78.67
memory used=1659.4MB, alloc=4.3MB, time=79.01
memory used=1663.2MB, alloc=4.3MB, time=79.35
memory used=1667.0MB, alloc=4.3MB, time=79.69
memory used=1670.8MB, alloc=4.3MB, time=80.03
memory used=1674.7MB, alloc=4.3MB, time=80.37
memory used=1678.5MB, alloc=4.3MB, time=80.71
memory used=1682.3MB, alloc=4.3MB, time=81.06
TOP MAIN SOLVE Loop
x[1] = 0.72900380804906765642803060342851
y[1] (analytic) = 334.12420078129053094549674894363
y[1] (numeric) = 334.12420078129053094549674894473
absolute error = 1.10e-27
relative error = 3.2921889447931157077209371370087e-28 %
Correct digits = 29
h = 4.7441839263658292184654258141803e-05
Real estimate of pole used for equation 1
Radius of convergence = 0.004697
Order of pole = 651
memory used=1686.1MB, alloc=4.3MB, time=81.40
memory used=1689.9MB, alloc=4.3MB, time=81.74
memory used=1693.7MB, alloc=4.3MB, time=82.08
memory used=1697.5MB, alloc=4.3MB, time=82.42
memory used=1701.4MB, alloc=4.3MB, time=82.77
memory used=1705.2MB, alloc=4.3MB, time=83.11
memory used=1709.0MB, alloc=4.3MB, time=83.45
memory used=1712.8MB, alloc=4.3MB, time=83.79
memory used=1716.6MB, alloc=4.3MB, time=84.13
memory used=1720.4MB, alloc=4.3MB, time=84.47
memory used=1724.3MB, alloc=4.3MB, time=84.82
memory used=1728.1MB, alloc=4.3MB, time=85.16
TOP MAIN SOLVE Loop
memory used=1731.9MB, alloc=4.3MB, time=85.50
x[1] = 0.73001042254532437644041802140417
y[1] (analytic) = 425.35601076430910645399222613627
y[1] (numeric) = 425.35601076430910645399222613567
absolute error = 6.0e-28
relative error = 1.4105830993709915882948368247653e-28 %
Correct digits = 29
h = 3.7274016069145968827205591720240e-05
Real estimate of pole used for equation 1
Radius of convergence = 0.00369
Order of pole = 651
memory used=1735.7MB, alloc=4.3MB, time=85.84
memory used=1739.5MB, alloc=4.3MB, time=86.18
memory used=1743.3MB, alloc=4.3MB, time=86.53
memory used=1747.1MB, alloc=4.3MB, time=86.88
memory used=1751.0MB, alloc=4.3MB, time=87.21
memory used=1754.8MB, alloc=4.3MB, time=87.56
memory used=1758.6MB, alloc=4.3MB, time=87.90
memory used=1762.4MB, alloc=4.3MB, time=88.24
memory used=1766.2MB, alloc=4.3MB, time=88.58
memory used=1770.0MB, alloc=4.3MB, time=88.92
memory used=1773.8MB, alloc=4.3MB, time=89.26
memory used=1777.7MB, alloc=4.3MB, time=89.60
memory used=1781.5MB, alloc=4.3MB, time=89.94
memory used=1785.3MB, alloc=4.3MB, time=90.28
memory used=1789.1MB, alloc=4.3MB, time=90.63
memory used=1792.9MB, alloc=4.3MB, time=90.97
TOP MAIN SOLVE Loop
x[1] = 0.73102528019563134726402260584809
y[1] (analytic) = 586.8352783318154121124073855816
y[1] (numeric) = 586.83527833181541211240738557045
absolute error = 1.115e-26
relative error = 1.9000221035953864087101008611862e-27 %
Correct digits = 28
h = 2.7022928692307879699886556933462e-05
Real estimate of pole used for equation 1
Radius of convergence = 0.002675
Order of pole = 651
memory used=1796.7MB, alloc=4.3MB, time=91.32
memory used=1800.5MB, alloc=4.3MB, time=91.66
memory used=1804.4MB, alloc=4.3MB, time=92.00
memory used=1808.2MB, alloc=4.3MB, time=92.34
memory used=1812.0MB, alloc=4.3MB, time=92.69
memory used=1815.8MB, alloc=4.3MB, time=93.04
memory used=1819.6MB, alloc=4.3MB, time=93.38
memory used=1823.4MB, alloc=4.3MB, time=93.72
memory used=1827.3MB, alloc=4.3MB, time=94.07
memory used=1831.1MB, alloc=4.3MB, time=94.41
memory used=1834.9MB, alloc=4.3MB, time=94.76
memory used=1838.7MB, alloc=4.3MB, time=95.10
memory used=1842.5MB, alloc=4.3MB, time=95.44
memory used=1846.3MB, alloc=4.3MB, time=95.78
memory used=1850.1MB, alloc=4.3MB, time=96.12
memory used=1854.0MB, alloc=4.3MB, time=96.46
memory used=1857.8MB, alloc=4.3MB, time=96.81
memory used=1861.6MB, alloc=4.3MB, time=97.15
memory used=1865.4MB, alloc=4.3MB, time=97.49
memory used=1869.2MB, alloc=4.3MB, time=97.83
memory used=1873.0MB, alloc=4.3MB, time=98.18
memory used=1876.8MB, alloc=4.3MB, time=98.52
memory used=1880.7MB, alloc=4.3MB, time=98.86
TOP MAIN SOLVE Loop
memory used=1884.5MB, alloc=4.3MB, time=99.20
x[1] = 0.73201560190777102589744390196282
y[1] (analytic) = 931.93320644904181261031665731227
y[1] (numeric) = 931.9332064490418126103166573143
absolute error = 2.03e-27
relative error = 2.1782676976764649425796497828111e-28 %
Correct digits = 29
h = 1.7019679074735368251186596178802e-05
Real estimate of pole used for equation 1
Radius of convergence = 0.001685
Order of pole = 651
memory used=1888.3MB, alloc=4.3MB, time=99.55
memory used=1892.1MB, alloc=4.3MB, time=99.89
memory used=1895.9MB, alloc=4.3MB, time=100.23
memory used=1899.7MB, alloc=4.3MB, time=100.57
memory used=1903.6MB, alloc=4.3MB, time=100.91
memory used=1907.4MB, alloc=4.3MB, time=101.26
memory used=1911.2MB, alloc=4.3MB, time=101.60
memory used=1915.0MB, alloc=4.3MB, time=101.95
memory used=1918.8MB, alloc=4.3MB, time=102.29
memory used=1922.6MB, alloc=4.3MB, time=102.64
memory used=1926.4MB, alloc=4.3MB, time=102.98
memory used=1930.3MB, alloc=4.3MB, time=103.32
memory used=1934.1MB, alloc=4.3MB, time=103.67
memory used=1937.9MB, alloc=4.3MB, time=104.01
memory used=1941.7MB, alloc=4.3MB, time=104.36
memory used=1945.5MB, alloc=4.3MB, time=104.70
memory used=1949.3MB, alloc=4.3MB, time=105.04
memory used=1953.1MB, alloc=4.3MB, time=105.38
memory used=1957.0MB, alloc=4.3MB, time=105.72
memory used=1960.8MB, alloc=4.3MB, time=106.06
memory used=1964.6MB, alloc=4.3MB, time=106.40
memory used=1968.4MB, alloc=4.3MB, time=106.74
memory used=1972.2MB, alloc=4.3MB, time=107.08
memory used=1976.0MB, alloc=4.3MB, time=107.43
memory used=1979.8MB, alloc=4.3MB, time=107.77
memory used=1983.7MB, alloc=4.3MB, time=108.11
memory used=1987.5MB, alloc=4.3MB, time=108.45
memory used=1991.3MB, alloc=4.3MB, time=108.79
memory used=1995.1MB, alloc=4.3MB, time=109.13
memory used=1998.9MB, alloc=4.3MB, time=109.47
memory used=2002.7MB, alloc=4.3MB, time=109.82
memory used=2006.6MB, alloc=4.3MB, time=110.17
memory used=2010.4MB, alloc=4.3MB, time=110.51
memory used=2014.2MB, alloc=4.3MB, time=110.86
memory used=2018.0MB, alloc=4.3MB, time=111.20
memory used=2021.8MB, alloc=4.3MB, time=111.54
memory used=2025.6MB, alloc=4.3MB, time=111.88
memory used=2029.4MB, alloc=4.3MB, time=112.22
memory used=2033.3MB, alloc=4.3MB, time=112.56
memory used=2037.1MB, alloc=4.3MB, time=112.90
memory used=2040.9MB, alloc=4.3MB, time=113.24
memory used=2044.7MB, alloc=4.3MB, time=113.59
memory used=2048.5MB, alloc=4.3MB, time=113.93
memory used=2052.3MB, alloc=4.3MB, time=114.27
memory used=2056.1MB, alloc=4.3MB, time=114.61
TOP MAIN SOLVE Loop
x[1] = 0.73300475131937491429788585665302
y[1] (analytic) = 2257.2253290094868897274872306031
y[1] (numeric) = 2257.2253290094868897274872307969
absolute error = 1.938e-25
relative error = 8.5857622413373812625642429413143e-27 %
Correct digits = 28
h = 7.0282708767162934992476599137214e-06
Real estimate of pole used for equation 1
Radius of convergence = 0.0006958
Order of pole = 651
memory used=2060.0MB, alloc=4.3MB, time=114.96
memory used=2063.8MB, alloc=4.3MB, time=115.30
memory used=2067.6MB, alloc=4.3MB, time=115.64
memory used=2071.4MB, alloc=4.3MB, time=115.99
memory used=2075.2MB, alloc=4.3MB, time=116.34
memory used=2079.0MB, alloc=4.3MB, time=116.68
memory used=2082.8MB, alloc=4.3MB, time=117.02
memory used=2086.7MB, alloc=4.3MB, time=117.37
memory used=2090.5MB, alloc=4.3MB, time=117.71
memory used=2094.3MB, alloc=4.3MB, time=118.05
memory used=2098.1MB, alloc=4.3MB, time=118.39
memory used=2101.9MB, alloc=4.3MB, time=118.74
memory used=2105.7MB, alloc=4.3MB, time=119.08
memory used=2109.6MB, alloc=4.3MB, time=119.42
memory used=2113.4MB, alloc=4.3MB, time=119.77
memory used=2117.2MB, alloc=4.3MB, time=120.11
memory used=2121.0MB, alloc=4.3MB, time=120.46
memory used=2124.8MB, alloc=4.3MB, time=120.80
memory used=2128.6MB, alloc=4.3MB, time=121.15
memory used=2132.4MB, alloc=4.3MB, time=121.49
memory used=2136.3MB, alloc=4.3MB, time=121.84
memory used=2140.1MB, alloc=4.3MB, time=122.18
memory used=2143.9MB, alloc=4.3MB, time=122.53
memory used=2147.7MB, alloc=4.3MB, time=122.87
memory used=2151.5MB, alloc=4.3MB, time=123.21
memory used=2155.3MB, alloc=4.3MB, time=123.56
memory used=2159.1MB, alloc=4.3MB, time=123.90
memory used=2163.0MB, alloc=4.3MB, time=124.24
memory used=2166.8MB, alloc=4.3MB, time=124.59
memory used=2170.6MB, alloc=4.3MB, time=124.93
memory used=2174.4MB, alloc=4.3MB, time=125.27
memory used=2178.2MB, alloc=4.3MB, time=125.61
memory used=2182.0MB, alloc=4.3MB, time=125.96
memory used=2185.8MB, alloc=4.3MB, time=126.30
memory used=2189.7MB, alloc=4.3MB, time=126.64
memory used=2193.5MB, alloc=4.3MB, time=126.99
memory used=2197.3MB, alloc=4.3MB, time=127.33
memory used=2201.1MB, alloc=4.3MB, time=127.69
memory used=2204.9MB, alloc=4.3MB, time=128.03
memory used=2208.7MB, alloc=4.3MB, time=128.37
memory used=2212.6MB, alloc=4.3MB, time=128.71
memory used=2216.4MB, alloc=4.3MB, time=129.05
memory used=2220.2MB, alloc=4.3MB, time=129.39
memory used=2224.0MB, alloc=4.3MB, time=129.74
memory used=2227.8MB, alloc=4.3MB, time=130.08
memory used=2231.6MB, alloc=4.3MB, time=130.42
memory used=2235.4MB, alloc=4.3MB, time=130.77
memory used=2239.3MB, alloc=4.3MB, time=131.11
memory used=2243.1MB, alloc=4.3MB, time=131.45
memory used=2246.9MB, alloc=4.3MB, time=131.80
memory used=2250.7MB, alloc=4.3MB, time=132.14
memory used=2254.5MB, alloc=4.3MB, time=132.48
memory used=2258.3MB, alloc=4.3MB, time=132.82
memory used=2262.1MB, alloc=4.3MB, time=133.17
memory used=2266.0MB, alloc=4.3MB, time=133.51
memory used=2269.8MB, alloc=4.3MB, time=133.86
memory used=2273.6MB, alloc=4.3MB, time=134.20
memory used=2277.4MB, alloc=4.3MB, time=134.54
memory used=2281.2MB, alloc=4.3MB, time=134.89
memory used=2285.0MB, alloc=4.3MB, time=135.23
memory used=2288.8MB, alloc=4.3MB, time=135.57
memory used=2292.7MB, alloc=4.3MB, time=135.91
memory used=2296.5MB, alloc=4.3MB, time=136.26
memory used=2300.3MB, alloc=4.3MB, time=136.59
memory used=2304.1MB, alloc=4.3MB, time=136.94
memory used=2307.9MB, alloc=4.3MB, time=137.28
memory used=2311.7MB, alloc=4.3MB, time=137.62
memory used=2315.6MB, alloc=4.3MB, time=137.96
memory used=2319.4MB, alloc=4.3MB, time=138.31
memory used=2323.2MB, alloc=4.3MB, time=138.65
memory used=2327.0MB, alloc=4.3MB, time=138.99
memory used=2330.8MB, alloc=4.3MB, time=139.35
memory used=2334.6MB, alloc=4.3MB, time=139.69
memory used=2338.4MB, alloc=4.3MB, time=140.03
memory used=2342.3MB, alloc=4.3MB, time=140.37
memory used=2346.1MB, alloc=4.3MB, time=140.72
memory used=2349.9MB, alloc=4.3MB, time=141.06
memory used=2353.7MB, alloc=4.3MB, time=141.40
memory used=2357.5MB, alloc=4.3MB, time=141.74
memory used=2361.3MB, alloc=4.3MB, time=142.08
memory used=2365.1MB, alloc=4.3MB, time=142.43
memory used=2369.0MB, alloc=4.3MB, time=142.77
memory used=2372.8MB, alloc=4.3MB, time=143.11
memory used=2376.6MB, alloc=4.3MB, time=143.46
memory used=2380.4MB, alloc=4.3MB, time=143.80
memory used=2384.2MB, alloc=4.3MB, time=144.14
memory used=2388.0MB, alloc=4.3MB, time=144.48
memory used=2391.8MB, alloc=4.3MB, time=144.83
memory used=2395.7MB, alloc=4.3MB, time=145.18
memory used=2399.5MB, alloc=4.3MB, time=145.52
memory used=2403.3MB, alloc=4.3MB, time=145.86
memory used=2407.1MB, alloc=4.3MB, time=146.20
memory used=2410.9MB, alloc=4.3MB, time=146.54
memory used=2414.7MB, alloc=4.3MB, time=146.88
memory used=2418.6MB, alloc=4.3MB, time=147.23
memory used=2422.4MB, alloc=4.3MB, time=147.57
memory used=2426.2MB, alloc=4.3MB, time=147.91
memory used=2430.0MB, alloc=4.3MB, time=148.26
memory used=2433.8MB, alloc=4.3MB, time=148.60
memory used=2437.6MB, alloc=4.3MB, time=148.94
memory used=2441.4MB, alloc=4.3MB, time=149.28
memory used=2445.3MB, alloc=4.3MB, time=149.62
memory used=2449.1MB, alloc=4.3MB, time=149.97
memory used=2452.9MB, alloc=4.3MB, time=150.31
memory used=2456.7MB, alloc=4.3MB, time=150.65
memory used=2460.5MB, alloc=4.3MB, time=150.99
memory used=2464.3MB, alloc=4.3MB, time=151.33
memory used=2468.1MB, alloc=4.3MB, time=151.67
memory used=2472.0MB, alloc=4.3MB, time=152.02
memory used=2475.8MB, alloc=4.3MB, time=152.36
memory used=2479.6MB, alloc=4.3MB, time=152.70
memory used=2483.4MB, alloc=4.3MB, time=153.05
memory used=2487.2MB, alloc=4.3MB, time=153.39
memory used=2491.0MB, alloc=4.3MB, time=153.73
memory used=2494.8MB, alloc=4.3MB, time=154.08
memory used=2498.7MB, alloc=4.3MB, time=154.42
memory used=2502.5MB, alloc=4.3MB, time=154.76
memory used=2506.3MB, alloc=4.3MB, time=155.11
memory used=2510.1MB, alloc=4.3MB, time=155.45
memory used=2513.9MB, alloc=4.3MB, time=155.80
memory used=2517.7MB, alloc=4.3MB, time=156.14
memory used=2521.6MB, alloc=4.3MB, time=156.48
memory used=2525.4MB, alloc=4.3MB, time=156.83
memory used=2529.2MB, alloc=4.3MB, time=157.17
memory used=2533.0MB, alloc=4.3MB, time=157.52
memory used=2536.8MB, alloc=4.3MB, time=157.86
memory used=2540.6MB, alloc=4.3MB, time=158.20
memory used=2544.4MB, alloc=4.3MB, time=158.55
memory used=2548.3MB, alloc=4.3MB, time=158.90
memory used=2552.1MB, alloc=4.3MB, time=159.24
memory used=2555.9MB, alloc=4.3MB, time=159.59
memory used=2559.7MB, alloc=4.3MB, time=159.93
memory used=2563.5MB, alloc=4.3MB, time=160.28
memory used=2567.3MB, alloc=4.3MB, time=160.62
memory used=2571.1MB, alloc=4.3MB, time=160.97
memory used=2575.0MB, alloc=4.3MB, time=161.31
memory used=2578.8MB, alloc=4.3MB, time=161.66
memory used=2582.6MB, alloc=4.3MB, time=162.00
memory used=2586.4MB, alloc=4.3MB, time=162.34
memory used=2590.2MB, alloc=4.3MB, time=162.69
memory used=2594.0MB, alloc=4.3MB, time=163.04
memory used=2597.8MB, alloc=4.3MB, time=163.38
memory used=2601.7MB, alloc=4.3MB, time=163.72
memory used=2605.5MB, alloc=4.3MB, time=164.07
memory used=2609.3MB, alloc=4.3MB, time=164.41
memory used=2613.1MB, alloc=4.3MB, time=164.75
memory used=2616.9MB, alloc=4.3MB, time=165.10
memory used=2620.7MB, alloc=4.3MB, time=165.44
memory used=2624.6MB, alloc=4.3MB, time=165.78
memory used=2628.4MB, alloc=4.3MB, time=166.13
memory used=2632.2MB, alloc=4.3MB, time=166.47
memory used=2636.0MB, alloc=4.3MB, time=166.82
memory used=2639.8MB, alloc=4.3MB, time=167.16
memory used=2643.6MB, alloc=4.3MB, time=167.50
memory used=2647.4MB, alloc=4.3MB, time=167.85
memory used=2651.3MB, alloc=4.3MB, time=168.19
memory used=2655.1MB, alloc=4.3MB, time=168.54
memory used=2658.9MB, alloc=4.3MB, time=168.89
memory used=2662.7MB, alloc=4.3MB, time=169.23
memory used=2666.5MB, alloc=4.3MB, time=169.58
memory used=2670.3MB, alloc=4.3MB, time=169.92
memory used=2674.1MB, alloc=4.3MB, time=170.27
memory used=2678.0MB, alloc=4.3MB, time=170.61
memory used=2681.8MB, alloc=4.3MB, time=170.95
memory used=2685.6MB, alloc=4.3MB, time=171.30
memory used=2689.4MB, alloc=4.3MB, time=171.64
memory used=2693.2MB, alloc=4.3MB, time=171.99
memory used=2697.0MB, alloc=4.3MB, time=172.33
memory used=2700.8MB, alloc=4.3MB, time=172.67
memory used=2704.7MB, alloc=4.3MB, time=173.02
memory used=2708.5MB, alloc=4.3MB, time=173.36
memory used=2712.3MB, alloc=4.3MB, time=173.70
memory used=2716.1MB, alloc=4.3MB, time=174.05
memory used=2719.9MB, alloc=4.3MB, time=174.40
memory used=2723.7MB, alloc=4.3MB, time=174.75
memory used=2727.6MB, alloc=4.3MB, time=175.09
memory used=2731.4MB, alloc=4.3MB, time=175.44
memory used=2735.2MB, alloc=4.3MB, time=175.78
memory used=2739.0MB, alloc=4.3MB, time=176.12
memory used=2742.8MB, alloc=4.3MB, time=176.47
memory used=2746.6MB, alloc=4.3MB, time=176.81
memory used=2750.4MB, alloc=4.3MB, time=177.15
memory used=2754.3MB, alloc=4.3MB, time=177.50
memory used=2758.1MB, alloc=4.3MB, time=177.84
memory used=2761.9MB, alloc=4.3MB, time=178.19
memory used=2765.7MB, alloc=4.3MB, time=178.53
memory used=2769.5MB, alloc=4.3MB, time=178.87
memory used=2773.3MB, alloc=4.3MB, time=179.21
memory used=2777.1MB, alloc=4.3MB, time=179.56
memory used=2781.0MB, alloc=4.3MB, time=179.90
memory used=2784.8MB, alloc=4.3MB, time=180.25
Finished!
Maximum Time Reached before Solution Completed!
diff ( y , x , 1 ) = ( 1.0 + ( tan ( sqrt ( 2.0 * x + 1.0 ) ) * tan( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ;
Iterations = 1404
Total Elapsed Time = 3 Minutes 0 Seconds
Elapsed Time(since restart) = 3 Minutes 0 Seconds
Expected Time Remaining = 1 Minutes 15 Seconds
Optimized Time Remaining = 1 Minutes 15 Seconds
Expected Total Time = 4 Minutes 15 Seconds
Time to Timeout Unknown
Percent Done = 70.41 %
> quit
memory used=2784.9MB, alloc=4.3MB, time=180.26